Which steps can be used in order to determine the solution to Negative 1.3 + 4.6 x = 0.3 + 4 x?

Answers

Answer 1

Answer:

x=8/3 OR 2.7

Step-by-step explanation:

-1.3+4.6x=0.3+4x

4.6x-4x=0.3+1.3

0.6x=1.6

x=1.6/0.6=8/3

x=8/3 OR 2.7

Hope this helps!

Answer 2

Answer:

[tex]\boxed{x = 2\frac{2}{3} }[/tex]

Step-by-step explanation:

[tex]-1.3+4.6x = 0.3 +4x[/tex]

Collecting like terms

[tex]4.6 x -4x = 0.3+1.3[/tex]

[tex]0.6x = 1.6[/tex]

Dividing both sides by 0.6

x = 1.6 / 0.6

x = 2 2/3


Related Questions

The regular octagon below has a perimeter of 80m What is the length of one side of the octagon?

Answers

Answer:

10 m

Step-by-step explanation:

Since all of the side lengths of a regular octagon are equal and there are 8 sides on an octagon, the answer would be 80 / 8 = 10 m.

Please help ASAP! Do not understand how to conduct problem!

Answers

Answer:

AB =-4 24 25

-5 15 15

BC= -5

4

10

2BC = -10

8

20

THE Operation AB -2BC cannot be performed because the unequality of the arrays

Step-by-step explanation:

AB=first row (3*2)+(1/2*0)+(5*-2), (3*-4)+(1/2*2)+(5*7), (3*0),(1/2*0),(5*5)

Second row ((1*1)+(-1*0)+(3*-2),(1*-4)+(-1*2)+(3*7), (1*0)+(-1*0)+(3*5)

AB =-4 24 25

-5 15 15

BC =FIRST ROW (1*1)+(-4*2)+(0*0)

SECOND ROW (0*1)+(2*2)+(0*0)

THIRSD ROW (-2*2)+(7*2)+(5*0)

BC= -5

4

10

2BC = -10

8

20

THE Operation AB -2BC cannot be performed because the unequality of the arrays

For the functions f(x)=8 x 2 +7x and g(x)= x 2 +2x , find (f+g)(x) and (f+g)(3)

Answers

Answer:

(f+g)(x)= 9x² + 9x

(f+g)(3) = 108

Step-by-step explanation:

f(x)=8x² +7x

g(x)= x² +2x

(f+g)(x) = f(x) + g(x) = 8x² +7x +x² +2x = 9x² + 9x

(f+g)(x)= 9x² + 9x

(f+g)(3)= 9*3² + 9*3 = 108

There are five questions listed below. Each question includes the quantity 22. Match
the 22 in each question on the left to which part of the problem it represents on the right
-- the base, percent, or amount. Some answer options on the right will be used more
than once.
What percent of 22 is 3?
percent
22 is what percent of 164?
base
What is 4% of 22?
amount
8 is 22% of what number?
What is 5% of 22?​

Answers

Using concepts of percentage,

3 is 16.63% of 22.

22 is 13.41% of 164.

0.88 is 4% of 22.

8 is 22% of 36.36.

1.1 is 5% of 22.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Let 3 be x% of 22.

[tex]=\frac{x}{100} *22 = 3\\\\=x = \frac{3*100}{22} = 13.63%[/tex]

3 is 13.63% of 22.

Let 22 be y % of 164.

[tex]=\frac{y}{100} *164 = 22\\\\=y = \frac{22*100}{164} = 13.41%[/tex]

13.41% of 164 is 22.

4% of 22 = 0.88

[tex]\frac{4}{100}*22 = 0.88[/tex]

Let 8 is 22% of z.

[tex]\frac{22}{100}*z = 8\\ \\z = \frac{8*100}{22} = 36.36[/tex]

5% of 22 = 1.1

[tex]\frac{5}{100}*22 = 1.1[/tex]

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A radio transmission tower is feet tall. How long should a guy wire be if it is to be attached feet from the top and is tomake an angle of with the ground

Answers

Answer:

Length of guy wire is 590.6 ft

Step-by-step explanation:

The complete question is

A radio transmission tower is  210  feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of  20°  with the ground. Give your answer to the nearest tenth of a foot.

height of tower = 210 ft

8 ft fro the top leaves 210 - 8 = 202 ft to the ground

This is an angle of elevation problem

the opposite is 202 ft

hypotenuse = ?

angle is  20°  

using sin ∅ = opp/hyp

sin  20°  = 202/hyp

0.342 = 202/hyp

hyp = 202/0.342 = 590.6 ft   this is the length of the guy wire

Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of μ = 66 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of avalanches in spring gave the following thicknesses (in cm). 59 51 76 38 65 54 49 62 68 55 64 67 63 74 65 79 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = 61.81 Correct: Your answer is correct. cm s = 10.64 Correct: Your answer is correct. cm (ii) Assume the slab thickness has an approximately normal distribution. Use a 1% level of significance to test the claim that the mean slab thickness in the Vail region is different from that in the region of Canada. (a) What is the level of significance? 0.100 Incorrect: Your answer is incorrect. State the null and alternate hypotheses. H0: μ = 66; H1: μ 66 H0: μ ≠ 66; H1: μ = 66 H0: μ < 66; H1: μ = 66 Incorrect: Your answer is incorrect.

Answers

Answer:

We conclude that the mean slab thickness in the Vail region is the same as that in the region of Canada.

Step-by-step explanation:

We are given that slab avalanches studied in a region of Canada had an average thickness of μ = 66 cm.

A random sample of avalanches in spring gave the following thicknesses (in cm);

X: 59, 51, 76, 38, 65, 54, 49, 62, 68, 55, 64, 67, 63, 74, 65, 79.

Let [tex]\mu[/tex] = true mean slab thickness in the Vail region

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 66 cm      {means that the mean slab thickness in the Vail region is the same as that in the region of Canada}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 66 cm      {means that the mean slab thickness in the Vail region is different from that in the region of Canada}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                             T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean thickness = [tex]\frac{\sum X}{n}[/tex] = 61.81 cm

             s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = 10.64

             n = sample of avalanches = 16

So, the test statistics =  [tex]\frac{61.81-66}{\frac{10.64}{\sqrt{16} } }[/tex]  ~  [tex]t_1_5[/tex]

                                    =  -1.575

The value of t-test statistics is -1.575.

Now, at a 1% level of significance, the t table gives a critical value of -2.947 and 2.947 at 15 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean slab thickness in the Vail region is the same as that in the region of Canada.

6x-5<2x+11. plz helpppppp

Answers

Answer:

x < 4 or x = ( -∞, 4)

Step-by-step explanation:

6x - 5 < 2x + 116x - 2x < 11 + 54x < 16 x < 16/4x < 4

or

x = ( -∞, 4)

[tex]\text{Solve the inequality for x:}\\\\6x-5<2x+11\\\\\text{Subtract 2x from both sides}\\\\4x-5<11\\\\\text{Add 5 to both sides}\\\\4x<16\\\\\text{Divide both sides by 4}\\\\\boxed{x<4}[/tex]

If f is a function f: X Y, then Y is called (a) Domain (b) Co-domain (c) Range (d) None of these

Answers

Answer:

y is the range

Step-by-step explanation:

the y is the range

x isthe domain

Which two statements describe domestic stocks? They are directly affected by exchange rate fluctuations. They are always traded in local currency. They are likely to be unfamiliar to investors. They are based in the investor’s country of residence. They form an important part of foreign trade.

Answers

Answer:

They are based in the investor’s country of residence

They are always traded in local currency.

Step-by-step explanation:

Stocks, in general, indicate ownership shares of a company and domestic stocks as the name suggests are stocks that are based in the investor's home country.

These domestic stocks are almost always traded in local currency and they are a great help to local investors because it eliminates the currency risk because of exchange rates which can change at any time.

Answer

They are based in the investor’s country of residence

They are always traded in local currency.

Step-by-step explanation:

Stocks, in general, indicate ownership shares of a company and domestic stocks as the name suggests are stocks that are based in the investor's home country.

These domestic stocks are almost always traded in local currency and they are a great help to local investors because it eliminates the currency risk because of exchange rates which can change at any time.

The manager of a grocery store took a random sample of 100 customers. The avg. length of time it took the customers in the sample to check out was 3.1 minutes with a std. deviation of 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly > 3 min. At 95% confidence, it can be concluded that the mean of the population is

Answers

Answer:

Step-by-step explanation:

The data given are;

sample size n = 100

sample mean x = 3.1

standard deviation σ = 0.5

mean = 3

The value for Z can be determined by using the formula:

[tex]Z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{3.1 - 3.00}{\dfrac{0.5}{\sqrt{100}}}[/tex]

[tex]Z = \dfrac{0.1}{\dfrac{0.5}{10}}}[/tex]

Z = 0.2

At 95% Confidence interval, level of significance ∝ = 0.05

From the z table ;P- value for the test statistics at ∝ = 0.05

P = 0.0228

We can see that the P-value is < ∝

Decision Rule:

Reject the null hypothesis [tex]H_o[/tex] if P-value is less than ∝

Conclusion:

At 0.05 level of significance; we conclude that the mean of the population is significantly > 3 min

Hershel had 100 baseball cards that he labeled from 1-100. He started with number
one and marked every 5th card with an X, every 7th card with an O and every 10th
card with a V. What number card will be the first to have all 3 marks (XOV)?

Answers

Answer:

Hey there!

This question is basically asking for the least common multiple, or LCM of the three numbers.

If it is a multiple of 10, it has to be a multiple of 5. Thus, the only thing we need to do now, is find the LCM of 10 and 7, which is 70.

Thus, your answer is 70.

Hope this helps :)

Answer:

I think it is 70.

Step-by-step explanation:

I think that is the Lowest common Multiple of 5, 7 and 10:

10 = 2*5

7 = 7

5 = 5

So the LCM is 2 * 5 * 7 = 70.

Two jokers are added to a $52$ card deck and the entire stack of $54$ cards is shuffled randomly. What is the expected number of cards that will be strictly between the two jokers?

Answers

Answer:

  52/3.

Step-by-step explanation:

There are (54·53)/2 = 1431 ways the 2 jokers can be placed in the 54-card deck. We can consider those to see how the number of cards between them might work out.

Suppose we let J represent a joker, and - represent any other card. The numbers of interest can be found as follows:

For jokers: JJ---... there are 0 cards between. This will be the case also for ...

  -JJ---...

  --JJ---...

and so on, down to ...

 ...---JJ

The first of these adjacent jokers can be in any of 53 positions. So, the probability of 0 cards between is 53/1431.

__

For jokers: J-J---..., there is 1 card between. The first of these jokers can be in any of 52 positions, so the probability of 1 card between is 52/1431.

__

Continuing in like fashion, we find the probability of n cards between is (53-n)/1431. So, the expected number of cards between is ...

  [tex]E(n)=\sum\limits_{n=0}^{53}{\dfrac{n(53-n)}{1431}}=\dfrac{53}{1431}\sum\limits_{n=0}^{53}{n}-\dfrac{1}{1431}\sum\limits_{n=0}^{53}{n^2}\\\\=\dfrac{53(53\cdot 54)}{1431(2)}-\dfrac{1(53)(54)(107)}{1431(6)}=53-\dfrac{107}{3}\\\\\boxed{E(n)=\dfrac{52}{3}}[/tex]

Translate and solve: 3x less than two times the sum of 2X and one is equal to the sum of 2 and 5

Answers

Answer:

The answer is x = 5

Step-by-step explanation:

The statement

3x less than two times the sum of 2X and one is written as

2( 2x + 1) - 3x

the sum of 2 and 5 is written as

2 + 5

Equate the two statements

We have

2( 2x + 1) - 3x = 2+5

Expand

4x + 2 - 3x = 7

Simplify

4x - 3x = 7 - 2

We have the final answer as

x = 5

Hope this helps you

help huryyyyyyyyyyyyy

Answers

Answer: 4

Step-by-step explanation:

Because %s can be expressed as fractions over 100, because 90 is 70% of x, 70% is 70% of 100.  Thus, 90/x = 70/100.

Hope it helps <3

Answer:

4

Step-by-step explanation:

90 is 70% of x.

90 = 70% × x

90 = 70/100x

Divide both sides by x.

90/x = 70/100

determining probability of events. please help! ​

Answers

Answer:

23/90

Step-by-step explanation:

55/90 + 12/90 = 67/9090 - 67 = 2323/90

23/90 balls are green or white

i hope this helps!

PLEASE PLEASE PLEASE HELP TIMEDCan you prove that DE F = HGF Justify your answer. A. Yes, the triangles are congruent by SAS. B. Yes, the triangles are congruent by SSS. C. Yes, the triangles are congruent by SSA. D. No, not enough information is given.

Answers

Answer:

A. Yes, the triangles are congruent by SAS.

Step-by-step explanation:

EF = FG and DF = FH-> Given

angle EFD = angle HFG -> Vertical angles are congruent

DE F = HGF -> SAS Triangle Congruence Theorem

We can prove  ∠DE F = ∠HGF by SAS congruency.

Hence option A is correct.

In the given triangle,

DE = GE

DF = FH

We know that,

SAS congruency stands for "Side-Angle-Side" congruence,

Which is a rule used in geometry to prove that two triangles are congruent or equal in size and shape.

This rule states that if two sides and the angle between them of one triangle are congruent to the corresponding two sides and angle of another triangle, then the two triangles are congruent.

Since the triangles

DE,GE and DF, FH are the corresponding sides and

DE = GE

DF = FH

Since DEF and FHG are congruent.

Therefore,

∠DE F = ∠HGF

Hence proved.

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Simplify the expression:
– 10x + – 4 – 8 + 7x

Answers

Answer:

-3x-12

Step-by-step explanation:

-10x-4-8+7x

-3x-4-8

-3x-12

Answer:

-3x-12

Step-by-step explanation:

– 10x + – 4 – 8 + 7x

Combine like terms

-10x +7x   -4-8

-3x              -12

f(x)=2x+1 and g(x)=3x2+4, find (f∘g)(−2) and (g∘f)(−2).

Answers

Answer:

Step-by-step explanation:

Fog=2(g)+1

2(3x+2+4)+1

2{3x+6)+1

6x+12+1

=6x+13

Fog(-2)=6(-2)+13

-12+13

=1

Gof=3(f)+2+4

=3(2x+1)+6

6x+3+6

=6x+9

Gof(-2)=6(-2)+9

-12+9

=-3

Here is a sample distribution of hourly earnings in Paul's Cookie Factory:
Hourly Earning $6 up to $9 $9 up to $12 $12 up to $15
Frequency 16 42 10
The limits of the class with the smallest frequency are:_________
A) $6.00 and $9.00.
B) $12.00 and up to $14.00.
C) $11.75 and $14.25.
D) $12.00 and up to $15.00.

Answers

Answer:

The correct answer is:

$12.00 and up to $15.00 (D)

Step-by-step explanation:

Let us arrange the data properly in a tabular format.

Hourly Earnings($)         6 - 9          9 - 12     12 - 15

Frequency                          16              42          10

The frequency of a distribution is the number of times that distribution occurs in a particular group of data or intervals.

From the frequency table above the following observations can be made:

Highest frequency = 42 (hourly earnings of $9 - $12)

smallest frequency = 10 ( hourly earnings of $12 - $15)

This means that among a total of 68 workers (16 + 42 + 10), the people earning $12 - $15 form the smallest group (only 10 people), while 42 workers earn $9 - $12, forming the largest majority

A runner can run 3 miles in 18 minutes. At this rate, how many miles can he run in 54
minutes?
6
9
12
I
18​

Answers

Answer:

9 miles

Step-by-step explanation:

54 divided by 18

=

3.

3 x 3 (miles per 18 min)

=

9 miles

Answer:

9 miles in 54 minutes

Step-by-step explanation:

Create proportions

Do it miles:minutes

In this case it would be

3:18

Then divide both sides of the proportion by three to get

1 : 6

or the statement "It takes the runner 6 minutes to run a mile."

Now create another proportion

x: 54

If he can run a mile in 6 minutes,

he can run x miles in 54 minutes.

In this case divide 54 and 6 to get 9 miles in 54 minutes.

Hope this helps!

The cycle times for a truck hauling concrete to a highway construction site are uniformly distributed over the interval 50 to 70 minutes.

Required:
What is the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 55 minutes?

Answers

Answer:

The probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 55 minutes, should be 1 / 3.

Step-by-step explanation:

It is known that the cycle times for a truck hauling concrete is uniformly distributed over a time interval of ( 50, 70 ). If c = cycle time, according to the question the probability that the cycle exceeds 65 minutes, respectively exceed 55 minutes should be the following - ' [tex]Probability( c > 65 | c > 55 )[/tex]. '

_____

[tex]f( c ) = \left \{ {{1 / 20,} \atop {0}} \right. \\50< c<70 - ( elsewhere )[/tex]

We know that the formula for Probability( A | B ) is P( A ∩ B ) / P( B ),

[tex]P( c > 65 | c > 55 ) =[/tex] [tex]P( c > 55[/tex]  ∩ [tex]c > 65 )[/tex] /  [tex]P( c > 55 )[/tex],

And now we come to the formula [tex]P( a < c < b )[/tex] = [tex]\int\limits^{70}_{65} {f(x)} \, dc[/tex]. Substitute known values to derive two solutions, forming a fraction that represents the probability we desire.

[tex]P( 65<c<70) = \int\limits^{70}_{65} {f(y)} \, dy\\ = \int\limits^{70}_{65} {(1/20)} \, dy\\ \\= 0.25[/tex]

-------------------------------------

[tex]P( 55<c<70) = \int\limits^{70}_{55} {f(y)} \, dy\\ = \int\limits^{70}_{65} {(1/20)} \, dy\\ \\= 0.75[/tex]

Take 0.25 over 0.75, 0.25 / 0.75, simplified to the fraction 1 / 3, which is our solution.

_____

Probability: 1 / 3

A lottery ticket has a grand prize of $31 million. The probability of winning the grand prize is .000000018. Determine the expected value of the lottery ticket.

Answers

Answer:

$0.558

Step-by-step explanation:

The expected value is the sum of the value of each outcome times the chance that it happens. In this case, there are two outcomes:

Win $31 millionWin $0

Then our expected value can be calculated as:

[tex]EV=(31,000,000)(0.000000018)+(0)(1-0.000000018)=0.558[/tex]

For each of the finite geometric series given below, indicate the number of terms in the sum and find the sum. For the value of the sum, enter an expression that gives the exact value, rather than entering an approximation.
3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}
(1) Number of terms
(2) Value of Sum

Answers

Answer:

Number of term N = 9

Value of Sum = 0.186

Step-by-step explanation:

From the given information:

Number of term N = [tex]3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}[/tex]

Number of term N = [tex]3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}[/tex]

Number of term N = 9

The Value of the sum can be determined by using the expression for geometric series:

[tex]\sum \limits ^n_{k=m}ar^k =\dfrac{a(r^m-r^{n+1})}{1-r}[/tex]

here;

m = 5

n = 9

r = 0.5

Then:

[tex]\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}[/tex]

[tex]\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}[/tex]

[tex]\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}[/tex]

[tex]\sum \limits ^n_{k=m}ar^k =0.186[/tex]

For the given the geometric series, 3·0.5⁵ + 3·0.5⁶ + 3·0.5⁷ + ...+ 3·(0.5)¹³,

the responses are;

(1) The number of terms are 9

(2) The value of the sum is approximately 0.374

How can the geometric series be evaluated?

The given geometric series is presented as follows;

3·0.5⁵ + 3·0.5⁶ + 3·0.5⁷ + ...+ 3·(0.5)¹³

(1) The number of terms in the series = 13 - 4 = 9

Therefore;

The number of terms in the series = 9 terms

(2) The value of the sum can be found as follows;

The common ratio, r = 0.5

The sum of the first n terms of a geometric progression is presented as follows;

[tex]S_n = \mathbf{\dfrac{a \cdot (r^n - 1)}{r - 1}}[/tex]

The sum of the first 4 terms are therefore;

[tex]S_4 = \dfrac{3 \times (0.5^4 - 1)}{0.5 - 1} = \mathbf{ 5.625}[/tex]

The sum of the first 13 terms is found as follows;

[tex]S_{13} = \dfrac{3 \times (0.5^{13} - 1)}{0.5 - 1} = \mathbf{ \dfrac{24573}{4096}}[/tex]

Which gives;

The sum of the 5th to the 13th term = S₁₃ - S₄

Therefore;

[tex]The \ sum \ of \ the \ 5th \ to \ the \ 13th \ term =\dfrac{24573}{4096} - \dfrac{45}{3} = \dfrac{1533}{4096} \approx \mathbf{0.374}[/tex]

The value of the sum of the terms of the series is approximately 0.374

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can y’all help please

Answers

Answer:  0 ft, maximum, 11.6 ft, 6.8 ft, 13.6 ft

Step-by-step explanation:

y = -0.25x² + 3.4x

   a= -0.25    b = 3.4    c = 0

"c" is the initial height = 0

"a" is negative ⇒ ∩-shaped parabola ⇒ vertex is a maximum

Axis of Symmetry (horizontal distance at maximum):

[tex]x=\dfrac{-b}{2a}=\dfrac{-(3.4)}{2(-0.25)}=\dfrac{-3.4}{-0.5}\quad = \large\boxed{6.8}[/tex]

Maximum: (heighth at maximum)

y = -0.25(6.8)² + 3.4(6.8)

   =    -11.56      +    23.12

   =  11.56

Zeros (when the ball is on the ground):

0 = -0.25x² + 3.4x

0 = x(-0.25x + 3.4)

0 = x                      0 = -0.25x + 3.4

                          -3.4 = -0.25x

                       [tex]\dfrac{-3.4}{-0.25}=x[/tex]

                          13.6 = x

x = 0 is where the ball started

x = 13.6 is where the ball landed

Sam weights 51kg. What is this weight to the nearest stone?. Use this conversion, 1kg= 2.2 pounds and 14 pounds= 1 stone

Answers

Sam's weight to the nearest stone is equal to 8.0 stone.

Given the following data:

Sam's weight = 51 kg.1 kg = 2.2 pounds.14 pounds = 1 stone.

To determine Sam's weight to the nearest stone:

How to convert the units of measurement.

In this exercise, you're required to determine Sam's weight to the nearest stone. Thus, we would convert his weight in kilograms to pounds and lastly to stone as follows:

Conversion:

1 kg = 2.2 pounds.

51 kg = [tex]51 \times 2.2[/tex] = 112.2 pounds.

Next, we would convert the value in pounds to stone:

14 pounds = 1 stone.

112.2 pounds = X stone.

Cross-multiplying, we have:

[tex]14X = 112.2\\\\X=\frac{112.2}{14}[/tex]

X = 8.01 8.0 stone.

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6 is what percentage of 10?l

Answers

Answer:

Hello! The answer will be below!

Step-by-step explanation:

The answer is 60, steps will be below....

Steps:

6 divided by 10

=0.6

And than we do (0.6 x 100)%

Which will give us 60%

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Pls help asap What is the number of degrees in the acute angle formed by the hands of a clock at 6:44?

Answers

Answer:

264 degree angle

Step-by-step explanation:

it will be a 264 degree angle

Solve the quadratic equation by factoring 9x^2 -16 = 0

Answers

Answer: x= - 4/3 and x = 4/3

Step-by-step explanation:

(3x-4) times (3x+4) = 0

If I set my alarm to read 8:10 when it is really 8:00 (i.e., it is 10 minutes fast) and the alarm goes off each day when it reads 8:10, it will be ___________ but not ___________.

Answers

Answer:

If I set my alarm to read 8:10 when it is really 8:00 (i.e., it is 10 minutes fast) and the alarm goes off each day when it reads 8:10, it will be reliable but not valid.

Step-by-step explanation:

If I set my alarm to wake me earlier than I need to be woken, it might be in order to give me enough time to adjust to the alarm, and be awake enough to get out of bed before the normal time I need to be out of bed. This method is very reliable, as there is a very little probability of me waking up late, since I have a 10 minutes head start everyday to get out of bed. The problem is that this method is not valid, since I now actually wake earlier than I am supposed to. The extra 10 minutes can actually lead to a disorientation with time.

Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8 PLS HELPP

Answers

Answer:

Correct Option is : StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

=> [tex]m^{-8} p^0[/tex]

According to law of exponents [tex]a^0 = 1[/tex]

=> [tex]m^{-8} (1)[/tex]

Using Law of exponents [tex]a^{-m} = \frac{1}{a^m}[/tex]

=> [tex]\frac{1}{m^8}[/tex]

The simplified form of [tex]m^{-8}p^0[/tex] is [tex]\frac{1}{m^8}[/tex].

The question is not well formatted the question might be as follows:

Which is the simplified form of [tex]m^{-8}p^0[/tex]?

[tex]\frac{1}{m^8p}[/tex][tex]\frac{1}{m^8}[/tex][tex]\frac{p}{m^8}[/tex]m⁸

What are exponents?

Exponents are numbers that say how many times a number is to be multiplied. For example, 2⁸ means 2 is multiplied 8 times.

How to solve the problem?

[tex]m^{-8}p^0[/tex] = [tex]m^{-8}[/tex]  since, p⁰=1.

⇒[tex]m^{-8}[/tex] = [tex]\frac{1}{m^8}[/tex] .

Hence, the simplified form of [tex]m^{-8}p^0[/tex] is [tex]\frac{1}{m^8}[/tex].

To learn more about simplified forms visit- https://brainly.com/question/13242938?referrer=searchResults

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