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3 years ago

PLEASE HELP & SHOW WORK!

Mathematics

1 answer:

Dmitry [639]3 years ago

4 0

Finding x.

Suzette ran = x

Suzette biked = 4x

7 = x + 4x --) 7 = 5x --) 1.4 = x

Suzette ran for 1.4 hours

Finding y.

Quickest way is to use Suzette biked = 4x and substitute the x for 1.4 to find how much she biked.

4 x 1.4 = 5.6

1.4 + 5.6 = 7 hours the total time exercising

And the mileage adds up to.

5(1.4) + 20(5.6) = 119

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How do I find the volume of this?

lorasvet [3.4K]

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

7 0

3 years ago

The scale on a map says that 6 cm represents 15 km. What distance on the map in centimeters represents 20 kilometers?

ale4655 [162]

Answer:

8 centimeters.

Step-by-step explanation:

$6cm\ on\ map\ -> 15km\\$

Divide 3 both sides:

$2cm\ on\ map\ -> 5km$

Multiply 4 on both sides:

$8cm\ on\ map\ -> 20km$

8cm on the map represents 20km.

4 0

4 years ago

$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the

Marianna [84]

Answer:

Equation: $F=1500(1.0025)^{12t}$

The balance after 5 years is: $1742.43

Step-by-step explanation:

This is a compound growth problem . THe formula is:

$F=P(1+\frac{r}{n})^{nt}$

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

$F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}$

Now, we want balance after 5 years, so t = 5, substituting, we get:

$F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43$

The balance after 5 years is: $1742.43

3 0

3 years ago

-y= -2x +5 how do you make variable positive

Anastaziya [24]

Hej!

You would need to multiply both sides by -1

Resulting in...
y=2x-5

7 0

3 years ago

What goes in the space? (3x − ...)2 = 9x2−6x+1 I will give points and brainliest!

Crazy boy [7]

${(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}$

$(3x - ...)^{2} = 9 {x}^{2} - 6x + 1 \\ {(3x - 1)}^{2} = 9 {x}^{2} -6x + 1$

6 0

4 years ago