Write an expression for each statement and then simplify it, if possible.
g
There are two numbers, that sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers ?
Answer:
If the smaller number is x, then the equation is
. The numbers are
,
.

Answer:

t=6

Step-by-step explanation:

t-7=-1

6-7=-1

t - 7 = -1

t = 7 -1

t = 6

t is equals 6

The correct answer is 45.5 km

Explanation:

The total distance from the locksmith to the hotel, located in the east of the graph is not directly given; however, this distance can be calculated by considering the partial distances given. This includes the distance from the locksmith to the furniture store (18.3 km), and the distance between the furniture and the hotel (27.2) as the total distance = distance from the locksmith to the furniture store + distance from the furniture store to the hotel. Thus, the total distance is 18.3 km + 27.2 km which is equal to 45.5 km.

Answer:

26 × 26 × 10 × 10 × 10 = 676 , 000  possibilities

Step-by-step explanation:

There is nothing stating that the letters and numbers can't be repeated, so all  26  letters of the alphabet and all  10

digits can be used again.

If the first is A, we have  26  possibilities:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

If the first is B, we have  26  possibilities:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

And so on for every letter of the alphabet.  There are  26  choices for the  first letter and  26  choices for the second letter. The number of different combinations of  2  letters is: 26 × 26 = 676

The same applies for the three digits. There are  10  choices for the first,  10

for the second and  10  for the third:

10 × 10 × 10 = 1000  

So for a license plate which has  2  letters and  3  digits, there are:  26 × 26 ×  10 × 10 × 10 = 676 , 000  possibilities.

Hope this helps.

Answer:

2.321428571%

Step-by-step explanation:

Given in the question,

P=$350

T=4years

I=$32.50

We know that

I=PTR/100

32.50=350*4*R/100

R=32.50*100/350*4

R=2.321428571%

So, the rate of interest is 2.321428571%

Answer:

[tex] db = 10 log_{10} (\frac{I}{I_o})[/tex]

With db =112 db, [tex]I_o =10^{-12} W/m^2[/tex] and solving for I the intensity we have:

[tex] \frac{db}{10}= log_{10} (\frac{I}{I_o})[/tex]

[tex] \frac{112}{10}= log_{10} (\frac{I}{10^{-12}})[/tex]

Now we can exponentiate with base 10 and we got:

[tex] 10^{11.2} = \frac{I}{10^{-12}}[/tex]

And solving we got:

[tex] I= 10^{-12} * 10^{11.2} = 0.158 \frac{W}{m^2} = 0.16 \frac{W}{m^2}[/tex]

Step-by-step explanation:

We knwo that the loudnes os 112 db and we want to find the intensity. So then we can use the following formula:

[tex] db = 10 log_{10} (\frac{I}{I_o})[/tex]

With db =112 db, [tex]I_o =10^{-12} W/m^2[/tex] and solving for I the intensity we have:

[tex] \frac{db}{10}= log_{10} (\frac{I}{I_o})[/tex]

[tex] \frac{112}{10}= log_{10} (\frac{I}{10^{-12}})[/tex]

Now we can exponentiate with base 10 and we got:

[tex] 10^{11.2} = \frac{I}{10^{-12}}[/tex]

And solving we got:

[tex] I= 10^{-12} * 10^{11.2} = 0.158 \frac{W}{m^2} = 0.16 \frac{W}{m^2}[/tex]

Answer: 40 ( to the nearest ten)

Step-by-step explanation:

Complete question :

The loudness of a jack hammer is 96 dB . Its sound intensity is about 0.004.

The loudness of a compactor is 94 dB . Its sound intensity is about 0.0025.

The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.

The loudness of a pile driver is 112 dB . About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.

Given that:

Sound intensity of jackhammer = 0.004

Sound intensity of compactor = 0.0025

Sound intensity of jackhammer is about 1.6 times the sound intensity of a compactor

Each factor of 10 in intensity corresponds to 10dB

Pile driver with loudness of 112dB ⇒ [tex]\frac{112}{10}=11.2[/tex]

Hence, 10^11.2 = 1.58489 × 10^11

Hence, sound intensity (I) in watts per m²

I = 1.58489 × 10^11 × 10^-12

I = 1.58489 × 10-1

I = 0.158489

Comparing the intensity of pile driver and jackhammer :

Intensity of piledriver / Intensity of jackhammer

[tex]\frac{0.158489}{0.004}[/tex]

= 39.622  ≅ 40 ( to the nearest ten )

Answer:

3 <1<4<2

hope it worked

pls mark me as

BRAINLIEST

plss

Answer:

3>1>2>4

Step-by-step explanation:

La respuesta correcta es 1.25 km

Explicación:

En general, la distancia que recorre un cuerpo es igual a su velocidad multiplicada por el tiempo que dura el movimiento. Es decir que la formula general es d (distancia) = v (velocidad) x t (tiempo). En este caso sabemos que la velocidad es 0,25 km/seg y el tiempo es 5 segundos. Es decir que la distancia es igual a 0,25 km/seg x 5 seg = 1. 25 kilómetros. De acuerdo a lo anterior la distancia que recorre la pelota es de 1.25 kilómetros.

Answer:

$1.30. Is the answer to your question

Below will be the steps! :)

Step-by-step explanation:

So we know that a nickel is 5 cents and a dime is 10 cents.

Information given:

She has 3.10 in nickels and dimes.

Also in total she has 44 coins

_______________________________________________

In my calculations, there should be 18 dimes and 26 nickels

(44-18 will give you 26.... note:she has 44 coins in total)

When we multiply 26x0.05 we will get 1.30

⭐️So the answer is $1.30.⭐️

Hope this helps!

Answer:

Total value of nickels = $1.30

Step-by-step explanation:

let the number of nickels ($0.05) be "n" and the number of dimes ($0.10) be "d"

given that the total number of coins is 44, we can write :

number of nickels + number of dimes = 44 coins, or

n + d = 44  (rearranging this)

d = 44 - n --------> (eq 1)

we are also given that the total value of coins she has is $3.10.

Hence we can also write:

total value of nickels + total value of dimes = $3.10   ---------> (eq 2)

we know that the total value of nickels is the value of each nickel x number of nickels = $0.05n

Similarly, the total value of dimes is the value of each dime x number of dimes  = $0.10d

if we substitute these values into eq 2, we get

0.05n + 0.10d = 3.10 --------> (eq 3)

we can now solve eq 1 and eq 3 by substitution.

substituting eq 1 into eq 3,

0.05n + 0.10d = 3.10

0.05n + 0.10(44-n) = 3.10

0.05n + 4.4 - 0.10n = 3.10

-0.05n + 4.4 = 3.10 (subtract 4.4 from both sides)

-0.05n = 3.10 - 4.4

-0.05n = -1.3  (divide both sides by -0.05)

n = -1.3 / -0.05

n = 26  (i.e she had 25 nickels)

Hence the value of nickels she has (using formula above)

= $0.05n

= $0.05 x 26

= $1.30

Answer:

-4.3a + 4.1

Step-by-step explanation:

Well in the given expression,

2.5a - 7 - 6.8a + 11.1

We need to combine like terms,

2.5a + -6.8a = -4.3a

-7 + 11.1 = 4.1

Ans: -4.3a + 4.1

Thus,

the answer is -4.3a + 4.1

Hope this helps :)

The simplification form of given expression is -4.3a + 4.1

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

The given expression,

⇒ 2.5a - 7 - 6.8a + 11.1

Combine like terms in expression,

⇒ 2.5a  - 6.8a + 11.1- 7

Apply the arithmetic operations

⇒ -4.3a + 4.1

Hence, the simplification form of given expression is -4.3a + 4.1

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

Answer:

680

Step-by-step explanation:

add 1342+89 to get 1431

then add -295+-456 to get -751

then subtract 751 from 1431 to get 680

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

The standard form of the equation of y = -1/4x - 2 is x + 4y = -8 which is C

Answer:

72 cents.

Step-by-step explanation:

The expected winnings is the amount times the probability that you will get that amount.

2,000 * (1/10,000) = 2,000 / 10,000 = 2 / 10 = 0.2.

700 * (4 / 10,000) = 2,800 / 10,000 = 28 / 100 = 0.28.

300 * (8 / 10,000) = 2,400 / 10,000 = 24 / 100 = 0.24.

0.2 + 0.28 + 0.24 = 0.72.

Hope this helps!

Answer:

D. [tex] y = \frac{8}{x} [/tex]

Step-by-step explanation:

The inverse variation between two variables usually takes the following equation form:

[tex] y = \frac{k}{x} [/tex]

In the equation form given above,

[tex] k [/tex] could be value of any real number

x is the explanatory variable (independet variable), while y is the response variable (dependent variable)

Therefore, [tex] y = \frac{8}{x} [/tex] , is an example of an equation that shows inverse variation between the x and y variables.

 The right option is D. [tex] y = \frac{8}{x} [/tex]

Answer:

Nicholas

Step-by-step explanation:

If you want an explanation I can add one

Answer:

C (the third table, from the second picture).

Step-by-step explanation:

First, we need to find the slope of the graph.

Two conspicuous points are (0, -3) and (2, 1).

The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.

A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.

B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.

C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.

D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.

Hope this helps!

Answer:

if you're just reflecting the point over the y-axis it just becomes (8,10)

Answer: (8, 10)

Explanation and Example:

I have a trick that I use. I'm not sure if it will make sense to you but I'll explain it. When the question asks you to reflect over the x-axis, then keep the x in (x,y) the same and just flip the sign for the y. If the question asks you to reflect over the y-axis, then keep y the same and flip the sign for x.

Reflect over x-axis:

(-2, 6) -----> (-2, -6)

Reflect over y-axis:

(-4, -8) -----> (4, -8)

Answer:

Step-by-step explanation:

each term has at least y^1

each term's coeficient is a factor of 3

3y(5y^2, 7y, 10)

Replace x and y with the corresponding components of r(t), where

[tex]\mathbf r(t)=\langle x(t),y(t)\rangle=\langlet+3,4-2t\rangle[/tex]

We have

[tex]\displaystyle\int_Cf(x,y)\,\mathrm ds=\int_1^2f(x(t),y(t))\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt[/tex]

[tex]=\displaystyle\int_1^2(2(t+3)+4(4-2t))\sqrt{1^2+(-2)^2}\,\mathrm dt[/tex]

[tex]=\displaystyle\sqrt5\int_1^2(22-6t)\,\mathrm dt[/tex]

[tex]=\sqrt5(22t-3t^2)\bigg|_1^2=\boxed{13\sqrt5}[/tex]

I'm tempted to say the answer is B, but it doesn't seem to match up exactly. It's possible that choice contains a typo.

Answer:

The  90%  confidence interval for population mean is   [tex]14.7 < \mu < 19.1[/tex]

Step-by-step explanation:

From the question we are told that

   The sample mean is  [tex]\= x = 16.9[/tex]

    The confidence level is  [tex]C = 0.90[/tex]

     The sample size is  [tex]n = 45[/tex]

     The standard deviation

Now given that the confidence level is  0.90 the  level of significance is mathematically evaluated as

       [tex]\alpha = 1-0.90[/tex]

       [tex]\alpha = 0.10[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex]  from the standardized normal distribution table. The values is  [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

The  reason we are obtaining critical values for [tex]\frac{\alpha }{2}[/tex]  instead of  that of  [tex]\alpha[/tex]  is because [tex]\alpha[/tex]  represents the area under the normal curve where the confidence level 1 - [tex]\alpha[/tex] (90%)  did not cover which include both the left and right tail while [tex]\frac{\alpha }{2}[/tex]  is just considering the area of one tail which is what we required calculate the margin of error

  Generally the margin of error is mathematically evaluated as

        [tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

         [tex]MOE = 1.645* \frac{ 9 }{\sqrt{45} }[/tex]

         [tex]MOE = 2.207[/tex]

The  90%  confidence level interval is mathematically represented as

      [tex]\= x - MOE < \mu < \= x + MOE[/tex]

substituting values

     [tex]16.9 - 2.207 < \mu < 16.9 + 2.207[/tex]

    [tex]16.9 - 2.207 < \mu < 16.9 + 2.207[/tex]

     [tex]14.7 < \mu < 19.1[/tex]

Answer:

15 cartons of Hammers were ordered

Step-by-step explanation:

Cost per carton of Hammer  = $100

Cost per carton of Wrenches = $150

Total Carton = 25

Total Cost = $3,000

Required

Determine the numbers of Hammer and Wrenches

Represent the hammers with H and the wrenches with W

So;

[tex]H + W = 25[/tex]

and

[tex]100H + 150W = 3000[/tex]

Make W the subject of formula in the first equation:

[tex]H + W = 25[/tex]

[tex]W = 25 - H[/tex]

Substitute 25 - H for W in the second equation

[tex]100H + 150(25 - H) = 3000[/tex]

[tex]100H + 3750 - 150H = 3000[/tex]

Collect Like Terms

[tex]100H - 150H = 3000 - 3750[/tex]

[tex]-50H = -750[/tex]

Divide both sides by -50

[tex]\frac{-50H}{=50} = \frac{-750}{-50}[/tex]

[tex]H = \frac{-750}{-50}[/tex]

[tex]H = 15[/tex]

Hence, 15 cartons of Hammers were ordered

Answer:

The slope of line is -1.

Step-by-step explanation:

This equation is in the form Y=mx+b form, where m is the slope of the line. in this equation, -1 is m.

Answer:

352.8 ft

Step-by-step explanation:

m∠A = 180° − 102.9° − 18.6° = 58.5°

AB = c and BC = a.

Use law of sines:

c / sin C = a / sin A

c / sin 18.6° = 943 / sin 58.5°

c = 352.8

Answer:

N(n+1) = N(n)^2 - 1, n>=0, N(0) = 2

or equivalently

N(n) = N(n-1)^2 - 1, n>0, N(0) = 2

Step-by-step explanation:

Year 0 = 2 trees

year 1 = 2^2-1 = 3

year 2 = 3^2-1 =8

year 2 = 8^2-1 =63

...

Recursive formula

Let

n = integer year number

N(n) = number of trees to plant in year n

N(n+1) = N(n)^2-1, n>=0, N(0) = 2

or equivalently

N(n) = N(n-1)^2, n>0, N(0) = 2

Whats the options???

Answer:

792

Step-by-step explanation:

The first three composite numbers are 4,  6 ,8

so 4^3+6^3+8^3=64+216+512=792

Answer:

90º

Step-by-step explanation:

just look at where 31º on the right lines up with the value on the left (aka around 90º)

Answer:

87.8 °F ≈ 90°F

Step-by-step explanation:

[tex]x \ degrees \ F = 31 \ degree \ Celsius *\frac{9}{5} + 32\\x \ degrees \ F = 55.8 + 32\\\\x \ degrees \ Fahrenheit = 87.8 \ degrees \ Farenheit[/tex]

Answer:

y = x+3

Step-by-step explanation:

First step is to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 7-9)/(4 - 6)

   = -2 / -2

  = 1

The we can put is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Putting in one of the points

9 = 1*6+b

Subtracting 6

9-6 = b

3=b

y = 1x+3

y = x+3

Answer:

[tex]\boxed{y=x+3}[/tex]

Step-by-step explanation:

Solve for slope first.

The slope can be found through 2 points.

[tex]slope=\frac{change \: in \: y}{change \: in \: x}[/tex]

[tex]slope=\frac{7-9}{4-6}[/tex]

[tex]slope=\frac{-2}{-2}[/tex]

[tex]slope=1[/tex]

Using slope-intercept form.

[tex]y=mx+b\\m=slope\\b=y \: intercept[/tex]

[tex]y=1x+b[/tex]

Let x = 6 and y = 9.

[tex]9=1(6)+b[/tex]

[tex]9-6=b[/tex]

[tex]3=b[/tex]

[tex]y=1x+3[/tex]

Answer:

8.3

Step-by-step explanation:

Answer:

C. y-intercept: (0, -18); vertex point: ( [tex]-\frac{2}{3}[/tex], [tex]-20\frac{1}{4}[/tex]); x-intercepts: (3, 0) and (-

6,0)

Step-by-step explanation:

Hope it helped

Answer:

C. y-intercept: (0, -18); vertex point: ( - 2/3, - 20 1/4); x-intercepts: (3, 0) and (-

6,0)

Step-by-step explanation:

It's a positive parabola, so that means it opens upward. Crossing the x-axis at -6 and 3 it's minimum is -20 and crosses the Y-axis at -18.

Answer:

The probability is  [tex]P(X > x) = 0.0013499[/tex]

Step-by-step explanation:

From the question we are told that

     The mean is  [tex]\mu = 25[/tex]

      The standard deviation is [tex]\sigma = 5 \ minutes[/tex]

      The random number  [tex]x = 40[/tex]

Given that the time taken is  normally distributed  the probability is mathematically represented as

     [tex]P(X > x) = P[\frac{X -\mu}{\sigma } > \frac{x -\mu}{\sigma } ][/tex]

Generally the z-score for the normally distributed data set is mathematically represented as

        [tex]z = \frac{X - \mu}{\sigma }[/tex]

So  

     [tex]P(X > x) = P[Z > \frac{40 -25}{5 } ][/tex]

    [tex]P(X > x) = 0.0013499[/tex]

This value is obtained from the z-table

Answer:

y ≤0

Step-by-step explanation:

y =- x^2

x^2 is always positive or 0

Make this negative

- x^2 is negative or 0

The range is negative or 0

y ≤0

Answer:

Step-by-step explanation:

y=-x^2

the range is(-∞,0]

y≤ 0 ( since the coefficient  a is negative it is open downward)