If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

A. Y = 5/18(11)
B. Y = 18/5(11)
C. Y = (18)(5)/11
D. Y = 11/(18)(5)

Answer:

C

Step-by-step explanation:

8 (-1.5) - 5 = 12 (-1.5) + 1

-17 = -17

Answer:

x = 3.431

Step-by-step explanation:

Given equation is,

[tex]5^{(3x-9)}-10=-2[/tex]

[tex]5^{3x-9}-10+10=-2+10[/tex]

[tex]5^{3x-9}=8[/tex]

By taking log on both the sides of the equation,

[tex]\text{log}(5^{3x-9})=\text{log}8[/tex]

(3x - 9)log5 = log8

3x - 9 = [tex]\frac{\text{log}8}{\text{log}5}[/tex]

3x - 9 = 1.292

3x = 9 + 1.292

x = [tex]\frac{10.29202}{3}[/tex]

x = 3.4306

x ≈ 3.431

Answer:

Step-by-step explanation:

The given equation is

[tex](x-0.5)^{2} +(y-3.5)^{2} =16[/tex]

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

[tex]r^{2} = 16\\r=\sqrt{16}\\ r=4[/tex]

Therefore, the radius is 4 units long.

Answer:

About 7.94

Step-by-step explanation:

The formula to find the edge of each side is V^1/3. And 500^1/3 is about 7.94

Answer:

i keep getting a different answer every time _-_ I'M LOSING MY MIND!!!

Answer:

-4 <= x <= 0

Step-by-step explanation:

Answer:

The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200

Step-by-step explanation:

Mr. Schultz was given amount on his birthday = $75

We are given that Mr. Schultz needs $200 to buy some new Jordan shoes.

Let x be the amount of money Mr. Schultz needs to save to buy the shoes

So, Total Amount saved = 75+x

Total cost of shoes = $200

So, 75+x=200

So, The required equation is 75+x=200

So, Option A is true

Hence The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200

Answer:

We can make an equation

2 * 7x + 2 * 4x + 2 * 4 * 7 = 298

14x + 8x + 56 = 298

22x = 298 - 56

22x = 242

x = 242/22

x = 11

If the surface area of the prism is 298 square feet, the value of x is 11 feet.

To find the value of x, we need to use the formula for the surface area of a rectangular prism:

Surface Area (SA) = 2lw + 2lh + 2wh,

where l is the length, w is the width, and h is the height of the prism.

Given that the length (l) is 7 ft and the width (w) is 4 ft, and the surface area (SA) is 298 square feet, we can set up the equation:

298 = 2(7)(x) + 2(7)(4) + 2(4)(x).

Now, simplify the equation:

298 = 14x + 56 + 8x.

Combine like terms:

298 = 22x + 56.

Now, isolate x by moving the constant term to the other side of the equation:

22x = 298 - 56,

22x = 242.

Finally, solve for x:

x = 242 / 22,

x = 11.

In summary, the height of the rectangular prism is 11 feet, and this value is obtained by using the surface area formula and solving the resulting equation.

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Answer:

50

Step-by-step explanation:

10 + (20x2) = 50

Answer:

(-3,-1)

Step-by-step explanation:

Use a graphing tool to graph the given lines.

When graphed, the lines pass at (-3,-1).

Therefore, (-3,-1) is the solution.

Answer:

$78

Step-by-step explanation:

Each 15% is $9. If you do 9 times 2 you get $18. $60 + $18 = $78.

Answer: Boat A should travel 152.8° to reach B

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo. Triangle ABP is formed. A represents the position of boat A. B represents the position of boat B. P represents the position of the port.

We would determine AB by applying the law of cosines

AB² = AP² + BP² - 2AP×BPCosP

AB² = 20² + 25² - 2 × 20 × 25 × Cos45

AB² = 1025 - 707.10678 = 317.89322

AB = √317.89322 = 17.83

We would determine the bearing of B from A by finding angle A. We would apply the sine rule.

AB/SinP = AP/Sin A

17.83/Sin45 = 20/SinA

Cross multiplying, it becomes

17.83 × SinA = 20Sin45 = 14.14

SinA = 14.14/17.83 = 0.79

A = Sin^-1(0.79) = 52.2°

The total angle at A is 65 + 52.2 = 117.2°

The angle formed outside the third quadrant is 117.2 - 90 = 27.2°

Therefore, bearing B from A is

180 - 27/2 = 152.8°

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

A: 8% B: $3.33

Step-by-step explanation:

A: divide the tax by the total cost

B: divide the total cost without tax by 100, then multiply by 18

Answer:

0.60922709536

Step-by-step explanation:

not sure if this is what you are looking for????

√6

im putting yall on folks

Given that Betty saves $161 per month which is $141 less than Jack per month. find the amount that Jack will save in 2 years.

First, find how much Jack saves. We can do this buy adding 141 to 161 since Betty saves 141 less meaning we can reverse it by adding it.

141 + 161 = 302

Now, that we know how much Jack saves per month.

Then, we have to find out how many months are in 2 years.

We already know that there is 12 months in a year, so for 2 years, we can simply multiply by 2.

12 x 2 = 24

Therefore, there are 24 months in two years.

Lastly, multiply 24 months by the amount that Jack saves to get the amount in total.

24 x 302 = 7,248

Thus, Jack will save approximately $7,248 in 2 years.

Answer:

Jack will save $7248 in 2 years.

Step-by-step explanation:

Because we know that Betty saves $161 a month, but it's $141 less than Jack saves each month.

Adding $141 to $161 let's us know how much Jack saves.

$141 + $161 = $302

Jack saves $302 each month.

There are 24 months in 2 years.

$302 × 24 = $7248.

Hope that helped!

Answer:

What is the volume of the new prism? 1,485 cm^3

The new volume is 27 times the original volume

Step-by-step explanation:

I got it right on ed 2020

Answer:

A rectangular prism with length 5.5 centimeters, width 2.5 centimeters, and height 4 centimeters.

A rectangular prism has sides of 4 cm, 2.5 cm, and 5.5 cm. The figure is dilated by a scale factor of 3.

What is the volume of the new prism?

✔ 1,485

cm3.

What can be concluded about the effect of the change on the new volume?

The new volume is

✔ 27

times the original volume.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Took the test

Answer:

The percentage increase is 44.44%

What best describes the error is that the denominator should be 18 which is the original amount

Step-by-step explanation:

Here, we are to calculate the percentage increase from 18 to 26

Mathematically, we can calculate this with the following formula;

(New value - old value)/old value * 100%

Where the new value is 26 and the old value is 18. Plugging these values, we have;

(26-18)/18 * 100%

8/18 * 100% = 44.44% increase

The error in finding the percent increase from 18 to 26 is, The numerator should be 18, which is the original amount.

The percentage increase from 18 to 26 is about 44.4%.

We have to give that,

To find the percent increase from 18 to 26.

Now, The process to find a percent increase from 18 to 26 is,

(26 - 18) / 18 x 100%

= 8/18 x 100%

= 800/18%

= 44.4%

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Answer:

36 cubes

Step-by-step explanation:

Im pretty sure that you have to divide 4 by 1/3*1/3, so 4÷1/9 which is 36 do keep change flip to get 4/1 * 9/1 and multiply 4 by 9 to get 36/1 which is 36. I hope this helps

Sorry Im making an edit to this, i made a mistake, you have ot find the volume of the mini cube, so the volume would be 1/27 not 1/9 (which is the area) so the answer would be 108 sorry again

Answer:

[tex]\alpha + \beta = -3/1 = -3 \\ \alpha \beta = -2/1 = -2[/tex]

[tex]\alpha ^3 + \beta ^3[/tex]

[tex](\alpha + \beta )^3 - 3\alpha\beta (\alpha + \beta ) \\ (-3)^3 - 3(-2)(-3) \\ -27 - 18 = -45[/tex]

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Slope = [tex]Slope = \frac{y 2 - y1}{x2 - x1}[/tex]

lets assume is assume that (x1,y1) are (2,-4)

and (x2,y2) are (5,-6)

Substitute them into the equation and you will get 2/3

Hope this helps

Answer:

(2, -4) and (5, -6)

m = y2 - y1 / x2 -x1

m = -6 + 4 / 5-2

m = -2 / 3

Step-by-step explanation:

1. label the ordered pairs xs and ys

2. write down the slope formula

3. replace the xs and ys by their values

4. add and/or subtract

5. slope is -2/3

Answer:

volume = 4/3 × pi × r^3

Step-by-step explanation:

Answer:

Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.

Circumference   =   2 • π • radius   =   π • diameter

Circle Area   =       π • r²     =     ¼ • π • d²

The circumference of a circle is directly proportional to its radius. The ratio between a circle's circumference and its diameter is pi, a constant that equals approximately 3.142. The circle's diameter, in turn equals twice the radius. A regular solid that has a circle as a face is called a cylinder. Like all geometric prisms, a cylinder's volume is the product of its cross-sectional area and its length. The cross-sectional area is the area of its circle, and you can calculate it from the circle's radius. Multiply the circle's radius by 2 to calculate its diameter. For instance, if the radius equals 6 inches, compute as follows to determine the diameter: 6 x 2 = 12 inches. Multiply the diameter by pi to get the circle's circumference: 12 x 3.142 = approximately 37.7 inches. Find the square of the radius: 6 x 6 = 36 square inches. Multiply the answer determined in Step 3 by pi to get the circle's area: 36 x pi = 113 square inches. Multiply the circle's area by the cylinder's length to obtain the volume. If the length is, for instance, 10 inches, then compute as follows: 113 x 10 = 1,130 cubic inches.

Answer:

Easy

Step-by-step explanation:

4m a second so 40 seconds cause4 x 10

Answer:

im not sure

1398100 meter

Step-by-step explanation:

4+4^(2)+4^(3)+4^(4)+4^(5)

+4^(6)+4^(7)+4^(8)+4^(9)

+4^(10)=1398100

Answer:

The values of a,b and c are 1, -3 and -2 respectively.

Step-by-step explanation:

The general form of quadratic equation is given by :

[tex]ax^2+bx+c=0[/tex] .....(1)

Here, a,b and c are constants

The given equation is :

[tex]x^2-3x-2=0[/tex]

We can also write the above equation as :

[tex]x^2+(-3x)+(-2)=0[/tex] ....(2)

If we compare equation (1) and (2), we get :

a = 1

b = -3 and

c = -2

So, the values of a,b and c are 1, -3 and -2 respectively.

Answer:

i think its option B

Step-by-step explanation:

i dont know if its right or not sorry but hope this helps :)

Answer:

Step-by-step explanation:

Hello. i would love to help but do you have a graph so i can see

Answer:

Town  "A" was going to have a larger population eventually

Town "A" = 3458 inhabitants

Town "B" = 2600 inhabitants

Step-by-step explanation:

Eventually Town  "A" will have a greater population population because it increases in percentage with respect to each year, therefore, there will come a time that its increase will be greater than 50 per year, which is what Town "B" increases.

To calculate the population the first thing is to know that 30 years have passed, then we must calculate that 30-year increase.

For Town "A" the increase would be as follows:

800 * (1.05 ^ 30) = 3457.55 = 3458 inhabitants

For Town "B" the increase would be as follows:

1100 + 50 * 30 = 2600 inhabitants

Thus checking that Town  "A" was going to have a larger population eventually

Answer:

Town A will get eventually have the greater population

Step-by-step explanation:

Answer:

x=501

Step-by-step explanation:

so to find x we take -8016 divide by -16 which equal 501

The required value of x when dividing -8016, the value obtained is -16, is 501.

On dividing -8016 by x, the value obtained is -16. Find the value of integer

In mathematics to operate and interpret the function to make function simple or more understandable called simplification.

Here,
-16 = -8016/x
x = 8016/16
x = 501

Thus, the required value of x when dividing -8016, the value obtained is -16, is 501.  

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Answer:

She will by about 37 years not 30 years

Step-by-step explanation:

Explanation is in attached picture