INTEGERS YES OR NO 74 3.49 - 4/7 (the - is suupose to be inbetween both numbers, not just the 4 is negative) -148.29 - 8/1

Answers

Answer 1

Answer:

The integers are the numbers such that:

- The distance between consecutive integers is always of 1 unit and the integer numbers only have zeros after the decimal point, such that the set is: Z = {..., 0, 1, 2, 3, 4, ......}

74) No digits after the decimal point, so this is an integer.

3.49) we have digits after the decimal point, so this is not an integer.

4/7) 4 is smaller than 7, so 4/7 is smaller than one and larger than zero,

one and zero are consecutive integer numbers, so 4/7 can not be an integer number.

You also can solve the division and find that the quotient has digits after the decimal point.

148.29) This number has digits after the decimal point, so this is not an integer number.

8/1) here we have 8 divided by one, we know that:

8/1 = 8

8 has no digits after the decimal point, so this is an integer.


Related Questions

What is the value of x in the diagram below?



A.
6

B.
4

C.
5

D.
3

Answers

Answer:

[tex]\boxed{3}[/tex]

Step-by-step explanation:

We can use ratios to solve since the sides are proportional.

[tex]\frac{18}{x} =\frac{48}{8}[/tex]

Cross multiply.

[tex]48x=18 \times 8[/tex]

Divide both sides by 48.

[tex]\frac{48x}{48} = \frac{18 \times 8}{48}[/tex]

[tex]x=3[/tex]

The value of x in the given triangle is 3.

What are similar triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given are two similar triangles,

Therefore, they have the same ratio of corresponding sides

18/48 = x/8

x = 3

Hence, The value of x in the given triangle is 3.

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Please help with this

Answers

Answer: B

Step-by-step explanation:

Because of Supplementary Angles, we know that the two angles in the right side of the equation add up to 90.

Hope it helps <3

A toy falls from a window 70 feet above the ground. How long does it take the toy to hit the​ ground?

Answers

Answer:

2.09 seconds.

Step-by-step explanation:

We are given...

y = 70 feet

v0 = 0 feet/second

a = 32 feet/second^2

We need to find t using the following equation...

y = v0 * t + (1/2) * a * t^2

70 = 0 * t + (1/2) * 32 * t^2

70 = (1/2) * 32 * t^2

70 = 16t^2

16t^2 = 70

t^2 = 4.375

t = sqrt(4.375)

t = 2.091650066

So, it will take the toy about 2.09 seconds to hit the ground.

Hope this helps!

Tasha wants to measure the height of a tree that grows at an angle of 85° with respect to the ground.

When she is 80 feet away from the base of the tree she looks up. The angle from the ground to the top of

the tree is 25°. Approximately, how tall is the tree?

Answers

Answer: 35.9

Step-by-step explanation:

The tree is approximately 35.979 feet tall, computed using the sine rule.

What is the sine rule?

The sine rule in a triangle can be shown as this.

A triangle ABC, with the values of the side BC = a, CA = b, and AB = b, follows the rule by:

(Sin A)/a = (sin B)/b = (sin C)/c.

How to solve the given question?

In the question, we are informed about Tasha who is willing to measure the height of a tree, which grows at an angle of 85° with respect to the ground. Also, we are informed that when Tasha is 80 feet away from the base of the tree, then the angle from the ground to the top of the tree is 25°.

We are asked to find the height of the tree.

We first draw a triangle using the given details, AB being the tree, and C being the point where Tasha is.

We know ∠A = 180° - (∠B + ∠C) {By angle sum property of triangles)

or, ∠A = 180° - (85° + 25°) = 180° - 110° = 70°.

Now, by sine rule, we can say that:

(Sin A)/a = (sin B)/b = (sin C)/c.

or, (Sin 70°)/80 = (sin 85°)/b = (sin 25°)/c,

or, 0.93969262078/80 = 0.42261826174/c {We ignored the middle term as we only need the height of the tree, that is, c}

or, c = 0.42261826174*80/0.93969262078/80

or, c = 35.9792768309.

Therefore, the tree is approximately 35.979 feet tall, computed using the sine rule.

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Tessellations that use more than one one type of regular polygon are called regular tessellations?

Answers

Answer:

False

Step-by-step explanation:

A tessellation refest to a shape that is repeated over and over again covering a plane without any gaps or overlaps. The statement is false given that regular tessellations use only one polygon. Semi-regular tessellations are created with more than one type of regular polygon.

helPpppPPppPPPppppPppppPPppppppPPPPPPPPpppppppPPPPpppppppPPPPppppppPPPPppppppPPPPPpppppPPPPPPPPPPPPPPPPPPppppPPPPPPPppppPPPpppppPPpp THANK YOU

Answers

Answer:

1) rectangle

2) rectangle

Step-by-step explanation:

Any cross section of a rectangular prism is a rectangle.

Hope it helps <3

Constructing a cube with double the volume of another cube using only a straightedge and compass was proven possible by advanced algebra.

True or False?

Answers

Answer:

False

Step-by-step explanation:

It was proved with advanced algebra that a doubled cube could never be constructed with a straightedge and compass

What is the scale factor of ABC to DEF?

Answers

Answer:

B.3

Step-by-step explanation:

to get the scale factor divide a side from the bigger triangle by the equivalent in the small one

15/5 = 3

I really need help on this question

Answers

Answer:

d. 38

Step-by-step explanation:

AB = AD - BD = 54 - 36 = 18

AC = AB + BC = 18 + 20 = 38

43.
Some of the ingredients used by a baker for making 1 dozen
normal sponge cakes are listed below:
225g unsalted butter; 4 eggs; 125ml milk;
2 tsp vanilla extract; 264g plain flour
To make fully vegetarian cakes, the baker replaces each egg
with an additional 30g of plain flour.
The baker got an order for 100 normal cakes and 60 vegetarian
cakes. How much kilograms of flour would the baker need to
complete the order?​

Answers

Answer:

4.12 kg

Step-by-step explanation:

Regular cakes:

1 dozen normal sponge cakes: 264 g plain flour

Vegetarian cakes:

1 dozen cakes: 264 g plain flour

4 eggs are replaced by 4 * 30 g of flour = 120 g flour

total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g

Proportion for regular cakes:

12 cakes to 264 g flour = 100 cakes to x grams flour

12/264 = 100/x

12x = 26400

x = 2200

2200 g flour for 100 regular cakes

Proportion for vegetarian cakes:

12 cakes to 384 g flour = 60 cakes to y grams flour

12/384 = 60/y

12y = 384 * 60

12y = 23040

y = 1920

1920 g flour for 60 vegetarian cakes

Total flour needed:

2200 g + 1920 g = 4120 g

4120 g * 1 kg/(1000 g) = 4.12 kg

Answer: 4.12 kg

see attached the question is in an image attached

Answers

37.62202 sq units

First, calculate the areas of the separate triangles:

ABD = 20.19968 sq units

ACD = 17.46234 sq units

then add them to get 37.62202 sq units

Answer:

30.51 units^2

Step-by-step explanation:

Well to find the area of a triangle without height we use the following formula,

[tex]A = \sqrt{S(S-a)(S-b)(S-c)}[/tex]

To find S we use the following formula,

[tex]S = \frac{1}{2} (a+b+c)[/tex]

So a b and c are the sides of a triangle, we'll start with the left triangle.

S = 1/2(7 + 5.22 + 7.4)

S = 1/2(19.62)

S = 9.81

Now we can plug in 9.81 for S,

[tex]A = \sqrt{9.81(9.81-a)(9.81-b)(9.81-c)}[/tex]

[tex]A = \sqrt{9.81(9.81-7)(9.81-5.22)(9.81-7.4)}[/tex]

[tex]A = \sqrt{9.81(2.81)(4.59)(2.41)}[/tex]

[tex]A = \sqrt{9.81(31.083939)}[/tex]

[tex]A = \sqrt{304.93344159}[/tex]

[tex]A = 17.46234353086664[/tex]

But we can just simplify that to the nearest hundredth place which is,

17.46.

Now for the next triangle,

[tex]S = \frac{1}{2} (6.36 + 6.85 + 7.4)[/tex]

[tex]S = \frac{1}{2} (20.61)[/tex]

[tex]S = 10.305[/tex]

Plug in 10.305 for S,

[tex]A = \sqrt{10.305(10.305-6.36)(10.305-6.85)(10.305-7.4)}[/tex]

[tex]A = \sqrt{10.305(3.945)(3.455)(2.905)}[/tex]

[tex]A = \sqrt{10.305(16.534975)}[/tex]

[tex]A = \sqrt{170.392917375}[/tex]

A = 13.053463807549

We can round it to the nearest hundredth,

A = 13.05

So we just add 17.46 + 13.05

= 30.51 units^2

Thus,

the area of the figure is 30.51 units^2.

Hope this helps :)

Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter λ = 0.0143. (a) What is the probability that the distance is at most 100 m? What is the probability that the distance is at most 200 m? What is the probability that the distance is between 100 m and 200 m? (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (c) What is the value of the median distance?

Answers

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ.[tex]e^{-\lambda.x}[/tex]

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - [tex]e^{-\lambda.x}[/tex]

(a) Probability of distance at most 100m, with λ = 0.0143:

F(100) = 1 - [tex]e^{-0.0143.100}[/tex]

F(100) = 0.76

Probability of distance at most 200:

F(200) = 1 - [tex]e^{-0.0143.200}[/tex]

F(200) = 0.94

Probability of distance between 100 and 200:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = [tex]\frac{1}{\lambda}[/tex]

E(X) = [tex]\frac{1}{0.0143}[/tex]

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = [tex]\sqrt{\frac{1}{\lambda^{2}} }[/tex]

σ = [tex]\sqrt{\frac{1}{0.0143^{2}} }[/tex]

σ = 69.93

Distance exceeds the mean distance by more than 2σ:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - [tex]e^{-0.0143*209.79}[/tex])

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

[tex]\int\limits^m_0 f({x}) \, dx[/tex] = 0.5

[tex]\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx[/tex] = 0.5

[tex]\lambda.\frac{e^{-\lambda.x}}{-\lambda}[/tex] = [tex]-e^{-\lambda.x} + e^{0}[/tex]

[tex]1 - e^{-\lambda.m}[/tex] = 0.5

[tex]-e^{-\lambda.m}[/tex] = - 0.5

ln([tex]e^{-0.0143.m}[/tex]) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

Identify the parameter n in the following binomial distribution scenario. A basketball player has a 0.479 probability of
making a free throw and a 0.521 probability of missing. If the player shoots 17 free throws, we want to know the probability
that he makes more than 9 of them. (Consider made free throws as successes in the binomial distribution.)

Answers

Answer:

n = 17

Step-by-step explanation:

Assuming

- probability of success (making free throw) does not vary

We have

n = 17 (trials)

p = 0.479

x > 9

The answer is "[tex]\bold{p(x>9)=0.2550319}[/tex]"

[tex]\to X:[/tex] Number of creating free throws in a set [tex]\bold{17\ \ x \sim bin(17,0.479)}[/tex]

Know we calculating the P(makes more than 9 of them)

[tex]=\bold{9(X>9)=1-P(Z<=9)}[/tex]

Using the R-code:

[tex]\to \bold{1-p\ binom(9,17,0.479)}\\\\\to \bold{[1]0.2550319}\\\\\bold{\therefore}\\\\ \to \bold{p(x>9)=0.2550319}[/tex]

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x/3 ≥−33 solve for x answer must be simplified

Answers

Answer:

[tex]\boxed{x\geq -99}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} \geq -33[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 3.[/tex]

[tex]\frac{x}{3} (3) \geq -33(3)[/tex]

[tex]x\geq -99[/tex]

Answer:

[tex]\boxed{\red{x \geqslant - 99}}[/tex]

Step-by-step explanation:

[tex] \frac{x}{3} \geqslant - 33 \\ x \geqslant - 33 \times 3 \\ x \geqslant - 99[/tex]

hope this helps you!

x(x+3)(x+3)=0 Please I NEED HELP FAST! PLLLLLLLLLLLLLLLLLLLLLLLLLLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEAAAAAAAAAAAAAAAAAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSSSSSSSEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!

Answers

Answer:

[tex]\boxed{x^3+6x^2+9x}[/tex]

Step-by-step explanation:

[tex]x(x+3)(x+3)[/tex]

Resolving the first parenthesis

[tex](x^2+3x) (x+3)[/tex]

Using FOIL

[tex]x^3+3x^2+3x^2+9x[/tex]

Adding like terms

[tex]x^3+6x^2+9x[/tex]

[tex]\text{If } \: a\cdot b \cdot c = 0 \text{ then } a=0 \text{ or } b =0 \text{ or } c=0 \text{ or all of them are equal to zero.}[/tex]

[tex]x(x+3)(x+3) =0[/tex]

[tex]\boxed{x_1 =0}[/tex]

[tex]x_2+3 =0[/tex]

[tex]\boxed{x_2 = -3}[/tex]

[tex]x_3+3 =0[/tex]

[tex]\boxed{x_3 = -3}[/tex]

Determine which type of correlation is shown in the graphed relationship

Answers

Answer:

No correlation

Step-by-step explanation:

Hey there! :)

This has no correlation because all the points are spread out throughout the graph making no correlation.

Answer:

D no correlation

Step-by-step explanation:

too many scattered dot all over the place if its some going up down its NO CORRELATION!!!

Part F
I NEED HELP!
What is the geometric mean of the measures of the line segments A Dand DC? Show your work.

Answers

Answer:

AC2  =  AB2 + BC2     --->     AC2  =  122 + 52     --->   AC  =  13

AD / AB  =  AB / AC     --->     AD / 12  =  12 / 13     --->     AD  =  144/13

DC  =  AC - AD     --->   DC  =  13 - 144/13     --->     DC  =  25/13

AD / DB  =  DB / DC     --->   DB2  =  AD · DC     --->     DB2  =  (144/13) · (25/13)  --->     DB  =  60/13

DB is the geometric mean of AD and DC.

Step-by-step explanation:

Find the approximate sum of the series shown below.

Answers

Answer:

its D

Step-by-step explanation:

The approximate sum is 134.83

The correct option is (D).

What is series?

A series in math is simply the sum of the various numbers or elements of the sequence.

For example, to make a series from the sequence of the first five positive integers 1, 2, 3, 4, 5 we will simply add them up. Therefore 1 + 2 + 3 + 4 + 5 is a series.

A series in math is the sum of the terms in a sequence. The series and the sequence given in this example are almost identical. What differentiates the two is the addition of the + sign. Changing the comma to a plus sign changes the sequence into a series.

Suppose a person wanted to increase their level of fitness. The person decides to walk for 15 minutes the first day and increases the time spent walking by 5 minutes each day for the first week. The sequence that shows this example is

15, 20, 25, 30, 35, 40, 45

series used to find the answer is

15+20+25+30+35+40+45

Given:

[tex]\sum[/tex] (k =1 to 8) 5* (4/3)^(k-1)

So,

Putting values k=1 to 8 one by one then

= 5 + 20/3 + 80/9+0320/27+......+81920/2187

=294875/2187

=134.83

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Find the balance in Asturos savings account if he deposits $2100 at 3.5% simple interest for 2 years

Answers

Answer:

2250

Step-by-step explanation:

Balance : 2100

2 Years

2100 ÷ 100 x 103.5 ÷ 100 x 103.5 = 2249.5725

Lines $y=(3a+2)x-2$ and $2y=(a-4)x+2$ are parallel. What is the value of $a$?

Answers

Answer:

-8/5

Step-by-step explanation:

Given two lines y=(3a+2)x-2 and 2y=(a-4)x+2, Since both lines are parallel to each other, this means that the slope of both lines are the same

Let's get the slope of both equation. For the first equation;

y=(3a+2)x-2

We can see that the equation is written in this form y = mx+c where m is the slope of the line. On comparison, the slope of the given line is 3a+2

Similarly for the second line;

2y=(a-4)x+2

Re-writing in the standard format we will have;

y = (a-4)x/2+2/2

y = (a-4)x/2 + 1

The slope of the second line is (a-4)/2

On equating the slope of both lines to get the value of 'a' we will have;

3a+2 = (a-4)/2

Cross multiplying

2(3a+2) = a-4

6a+4 = a-4

Collecting like terms;

6a-a = -4-4

5a = -8

a = -8/5

Hence the value of a is -8/5

Which one doesn’t belong? Why? Explain.

Answers

Answer:

(x - 2)(x + 2)

Step-by-step explanation:

(x - 2)(x + 2) = x² - (2)² [Since (a - b)(a + b) = a² - b²]

                   = x² - 4

There are two terms in this expression. Therefore, the give term is a binomial.

(2x - 1)(x + 4) = 2x(x + 4) - 1(x + 4) [Distributive property]

                    = 2x² + 8x - x - 4

                    = 2x² + 7x - 4

There are three terms in this polynomial. Therefore, the given polynomial is a trinomial.

(x + 4)(x + 1) = x(x + 1) + 4(x + 1)

                   = x² + x + 4x + 4

                   = x² + 5x + 4

This polynomial is having 3 terms therefore, it's a trinomial.

(m - 4)(m + 1) = m(m + 1) - 4(m + 1)

                     = m² + m - 4m - 4

                     = m² - 3m - 4

Therefore, this polynomial is a trinomial.

Since (x - 2)(x + 2) is a binomial, so this expression doesn't belong to this group.

a rope is wound 50 times around a cylinder of radius 25cm. How long is the rope​

Answers

Circumference of the cylinder :

C = 2 x pi x r

C = 2 x 3.14 x 25 = 157 cm

Multiply the circumference by number of wraps:

157 x 50 = 7,850 cm long ( 78.5 meters)

A square based brass plate in 4mm high and has a mass of 1.05kg. The density of the brass is 4.2g/cm3, calculate the length of the plate in centimeters​

Answers

Answer:

[tex]Length = 25cm[/tex]

Step-by-step explanation:

Given

Brass Shape: Square

[tex]Density = 4.2g/cm^3[/tex]

[tex]Mass = 1.05kg[/tex]

[tex]Height = 4mm[/tex]

Required

Determine the length of the plate

First, we need to calculate the Volume of the Brass using

[tex]Density = \frac{Mass}{Volume}[/tex]

Make Volume the subject of formula

[tex]Volume = \frac{Mass}{Density}[/tex]

Substitute 1.05kg for Mass and 4.2g/cm³ for Density

[tex]Volume = \frac{1,05\ kg}{4.2\ g/cm^3}[/tex]

Convert 1.05 kg to grams

[tex]Volume = \frac{1.05 * 1000\ kg}{4.2\ g/cm^3}[/tex]

[tex]Volume = \frac{1050 \ kg}{4.2\ g/cm^3}[/tex]

[tex]Volume = \frac{1050 \ kg}{4.2\ g/cm^3}[/tex]

[tex]Volume = 250cm^3[/tex]

Next is to determine the Area of the brass;

[tex]Volume = Height * Area[/tex]

Substitute 250cm³ for Volume and 4mm for Height

[tex]250cm^3 = 4mm * Area[/tex]

Convert mm to cm

[tex]250cm^3 = 4 * 0.1cm * Area[/tex]

[tex]250cm^3 = 0.4cm * Area[/tex]

Divide both sides by 0.4cm

[tex]\frac{250cm^3}{0.4cm} = \frac{0.4cm * Area}{0.4cm}[/tex]

[tex]\frac{250cm^3}{0.4cm} =Area[/tex]

[tex]625cm^2 = Area[/tex]

[tex]Area = 625cm^2[/tex]

Lastly, we'll calculate the length of the brass

Since the brass is square based;

[tex]Area = Length^2[/tex]

Substitute 625cm² for Area

[tex]625cm^2 = Length^2[/tex]

Take square root of both sides

[tex]\sqrt{625cm^2} = Length[/tex]

[tex]25cm = Length[/tex]

[tex]Length = 25cm[/tex]

Hence, the length of the square brass is 25cm

What would be the Excel Formula to solve this question?

Deb and Rusty know that buying a house will save them money on taxes because they get to deduct the interest they pay to the bank each year and the property taxes they pay each year. First create a separate worksheet from the amortization schedule. Title this worksheet Analysis. In this worksheet, create a column titled Income starting at $90,000 and increasing at 3% for 20 years. What is their income after 20 years?

Answers

Answer:

Income after 20 years = 162550.01

Step-by-step explanation:

In cell B2, enter 90000

In cell B3, enter +B2*1.03

Copy cell B3 to cells B4:B22

Set number format for column B to 2 decimal places.

Read cell B22 = 162550.01

Income after 20 years = 162550.01

Their income after 20 years would be; 72,550 dollars.

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

The income after 20 years can easily be determine by using compounding

Thus the formula;

Future Value = Present Value (1 + I)^ 20

                     = 90,000 (1 + 0.03)^ 20

                     = 162,550 dollars

Income can be determing by subtracting Pv from Fv i.e

Income = 162,550 - 90,000 = 72,550

Calculation on excel sheet;

      A                        B                  C                         D                

1     90,000             1.03            = A1 x1.03        = C1-A1        

2      = D1                  1.03           = A2 x 1.03       = C2-A2

20    = D19               1.03           = A20 x 1.03      = A20 - C20

Thus, In work sheet colunm D will show the income on investment.

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Tubby Toys estimates that its new line of rubber ducks will generate sales of $7 million, operating costs of $4 million, and a depreciation expense of $1 million. If the tax rate is 25%, what is the firm’s operating cash flow?

Answers

Answer:

2.5m

Step-by-step explanation:

Using the adjusted accounting profits method.

Operating cash flow = After - tax profit + Depreciation. .......... ( 1 )

Given that :

* depreciation expense = $1 million

* Sales generated $7 million

* Tax rate = 25%

Tax rate = 25/100

= 0.25

From equation 1

= ( 7m - 4m - 1m ) ×( 1 - 0.25 ). + 1m

= ( 7m - 5m ) × ( 0.75 ) + 1m

= 2m × 0.75 + 1m

= 1.5m + 1m

= 2.5m

The firm operating cash flow = 2.5m

The mean of normally distributed test scores is 82 and the standard deviation is 5. If there are 241 test scores in the data sample, how many of them were in the 92 to 97 range?

Answers

Answer:

5

Step-by-step explanation:

Find the z-scores.

z = (x − μ) / σ

z₁ = (92 − 82) / 5

z₁ = 2

z₁ = (97 − 82) / 5

z₂ = 3

Find the probability:

P(92 < X < 97)

P(2 < Z < 3)

P(Z < 3) − P(Z < 2)

0.9987 − 0.9772

0.0215

Find the number of tests:

0.0215 (241) ≈ 5

PLEASE I NEED HELP!!! FIRST ANSWER GETS BRAINLIEST!!!
Reduce to Simplest form. -5/8+(-8/5)

Answers

mixed number form :- 2 9/40
Decimal :2.22
Exact form :89/40

Answer:

[tex]\frac{-89}{40}[/tex]

As a Proper Fraction: -2[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

So i assume the fraction sits like this:

[tex]\frac{-5}{8}[/tex] + [tex]\frac{-8}{5}[/tex]

This essentially becomes:

[tex]\frac{-5}{8}[/tex]  -  [tex]\frac{8}{5}[/tex]

Now multiply the denominators for a LCM (Lowest common denominator)

8*5 = 40

And now multiply the top parts with the respective denominator (-5 * 5) and (8 * 8)

So Now you get

[tex]\frac{-25}{40}[/tex] -  [tex]\frac{64}{40}[/tex]

and now that u have same denominators, just subtract -25 - 64  and get -89

Final Simplified answer: [tex]\frac{-89}{40}[/tex]

As a Proper Fraction: -2[tex]\frac{9}{40}[/tex]

Which of the following is the solution to the equation 25^(z + 2) = 125? (6 points) Answer choices are 1) z = 5.5 2) z = 3.5 3) z = −2.5 4) z = −0.5

Answers

Step-by-step explanation:

a. z = 5.5

25 ^( 5.5 - 4 ) = 125

25 ^ (1.5) = 125

125 = 125

z = 5.5

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which of the following graph represents the solution set for the inequality 3 - 1/2 x > 10

Answers

Answer:

56

Step-by-step explanation:

How much would a computer system cost if you pay $200 down and made 12 monthly payments of only $98.95?

Answers

Answer:

$1387.4

Step-by-step explanation:

Total cost for the computer will be sum of down payments and monthly installments.

____________________________________

Given

down payment = $200

monthly installment value = $98.85

no. of installments = 12

total value of monthly installments = 12*98.95 = $1187.4

Total cost of computer system = $200+  $1187.4 = $1387.4

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