Ashley and Kris are saving money for a vacation. Ashley currently has
$2,500 and is working hard to save $50 per month. Kris only has $1,000 in
savings but is saving $200 per month. In how many months will they have
the same amount in savings?

Answer:

D.

Step-by-step explanation:

The volume can be found by adding the volumes of a cylinder (the upper part of the figure) and a cone (the lower part of the figure).

Volume of Cylinder:  [tex]V=\pi r^2 h=\pi(3^2)(3)=27\pi\approx 84.823 \text{ cubic feet}[/tex]

Volume of Cone:  The height of the cone is 3 feet (the whole figure is 6 feet tall and the cylinder uses up 3 feet of that -- 6 - 3 = 3).

[tex]V=\frac{1}{3}\pi r^2 h=\frac{1}{3}\pi(3^2)(3)=9\pi\approx 28.274[/tex]

The total volume is 84.823 + 28.274, about 113.1 cubic feet

Answer:

in step by step

Step-by-step explanation:

so in this chart we have red, blue, green nad white

so red is 4 times more often than blue, and blue is 2 times more often than green and green is as often as white so

Hope this helps i couldent really make a bar graph or a table chart but hope u can add this to a graph that u make

Answer:

i think it is d

Step-by-step explanation:

Answer:

2 and 5

Step-by-step explanation:

10x + 2y = 30

x = 2

y = 5

10(2)+2(5) = 30

20+10 = 30

30=30

-Gage Millar, Algebra 2 tutor

Answer:

h(x) = (-2x + 4)(3x − 3 )

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

the table shows the function f(x) = 2x²

Rate of Change:  [f(1) - f(3)] / 1-3

= 2(1²) - 2(3²) / -2

= 2 - 18 / -2

= -16/-2

= 8

[tex]{( \sqrt[3]{{x}^{2}})}^{6} = {({x}^{ \frac{2}{3}})}^{6} = {x}^{ \frac{2}{3} \times 6 } = {x}^{2 \times 2} = {x}^{4} \\ [/tex]

So the answer is the second option which is,

[tex] {x}^{4} [/tex]

Answer:

Step-by-step explanation:

since  cos ^2  = 1/4 then cos = 1/2

b/c cot is  tan inverted, then  cot =  cos / sin

so we also know that  [tex]\sqrt{3}[/tex]/2  will be sin for this same Ф

then

cot =  (1/2)  /  ( [tex]\sqrt{3}[/tex]/2  )

cot = 1 / [tex]\sqrt{3}[/tex]

since Ф is in quad III

we know both parts of the fraction will be negative

cot = -1 / -[tex]\sqrt{3}[/tex]

but we would normally write that as a positive

Answer:

1 - 2sin²5A

Step-by-step explanation:

cos10A = cos2(5A) = cos²5A - sin²5A = 1 - sin²5A - sin²5A = 1 - 2sin²5A

Answer:

[tex]110 \degree = (4t + 90) \\ 4t = 20 \\ t = 5[/tex]

Answer:

1/5

Step-by-step explanation:

there are a total of 25 vehicles of which 5 are black

P(Black) = 5/25 or 1/5

Answer:

Hello! answer: 39

Step-by-step explanation:

Formula for triangles area: base × height ÷ 2

Formula for squares area: base × height

5 × 3 = 15 15 ÷ 2 = 7.5 since there are 4 triangles that are the exact same I will just multiply by 4 so I have all the triangles so 7.5 × 4 = 30 now the square is just 3 × 3 so... 3× 3 = 9 now we add these up 30 + 9 = 39 therefore the surface area is 39

Answer:

39

Step-by-step explanation:

5x3=15

15/2=7.5

7.5x4=30

3x3=9

30+9=39

Answer:

420

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Angle CED and GHE are equal as the lines are parallels. Also, the line rom D to F will be a total of 180.

Therefor, substract the angle FEC from 180 and you get the angle CED which is equal to GHE

Answer:

20 units

Step-by-step explanation:

4 + 4 + 5 + 7

8 + 5 + 7

13 + 7

20

Answer:

D) 2² × 3³ × 7

Step-by-step explanation:

Hope this helps! Have a nice day :)

Answer:

Mean:5

Mode: 4

Range: 7

Median: 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

9

Answer: 4.70

Step-by-step explanation:

Answer:

Yes side lengths are the same

Step-by-step explanation:

For square 4 :

a + b

For square 5 :

a + b

Hence,

Side lengths are the same for both squares.

This can be clearly evaluated from the picture attached

Answer:

I believe its because it going agents the wind

Answer:

     B)  SOUTH

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

80 x 0.4 = 32

80 - 32 = 48

Hoped it Helped :-)

Answer:

Use this image for help and reference

Hopefully this helps:)

THE FORMULAE OF HEMISPHERE : V = 2/3 * π * r³

Step-by-step explanation:

Put the formulae of hemisphere,

V = 2/3 * π * r³

Put the values in the formulae,

= 2/3 × 3.14 × 9³

= 0.6666 × 3.14 × 729

= 2.09312× 729

= 1525.8m³ ans

→ value of π (pie) is 3.14

→ formulae of radius is d/2 = 18/2 = 9 in

Answer:

Those answers are correct

Answer:

12

Step-by-step explanation:

192/(4^2)

192/16

12

Answer:

12 square inches

Step-by-step explanation:

Answer: 0.02 per year

Step-by-step explanation:

When given the per capita birth rate and the per capita death rate, the per capita growth rate can be calculated as:

= per capita birth rate - per capita death rate

= 0.11 - 0.09

= 0.02/year

= 2% per year

Answer:

54° and 110°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°

(9)

19x - 26 + 7x - 2 = 180

26x - 28 = 180 ( add 28 to both sides )

26x = 208 ( divide both sides by 26 )

x = 8

Then

∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°

(10)

21x - 33 + 14x + 3 = 180

35x - 30 = 180 ( add 30 to both sides )

35x = 210 ( divide both sides by 35 )

x = 6

Then

∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°

The inscribed angle YVW is half the measure of its intercepted arc YW, so

arc YW = 2 × 87° = 174°, then

arc XW = 174° - 64° = 110°

Cyclic quadrilateral is drawn inside a circle. The measure of the ∠EFG is 54°. The measure of the angle made by the arc XW is 110°.

A cyclic quadrilateral is a quadrilateral that is drawn inside a circle. The sum of the opposite angle of the cyclic quadrilateral is always equal to  180°.

9.) As we know that the sum of the opposite angles of a cyclic quadrilateral is supplementary, therefore, their sum is 180°. Thus, we can write for

[tex]\angle GDE + \angle EFG = 180^o\\\\19x - 26 + 7x - 2 = 180\\\\26x - 28 = 180\\\\26x = 208\\\\x = 8[/tex]

Now, substitute the value of x, in order to get the measure of the ∠EFG,

[tex]\angle EFG = 7x - 2\\\\\angle EFG = 7(8) - 2\\\\\angle EFG = 56 - 2\\\\\angle EFG = 54^o[/tex]

The measure of the ∠EFG is 54°.

10.) As we know that the sum of the opposite angles of a cyclic quadrilateral is supplementary, therefore, their sum is 180°. Thus, we can write for

[tex]\angle YXW + \angle YVW = 180^o\\\\21x - 33 + 14x + 3 = 180\\\\35x - 30 = 180\\\\35x = 210\\\\x = 6[/tex]

Now, substitute the value of x, in order to get the measure of the ∠YVW,

[tex]\angle YVW = 14x + 3\\\\\angle YVW = 14(6) + 3 \\\\\angle YVW= 84 + 3 \\\\\angle YVW = 87^o[/tex]

As we know that in the inscribed∠YVW, the ∠YVW is half the measure of its intercepted arc YW, therefore, We can write it as,

arc YW = 2 × 87° = 174°, and

arc XW = 174° - 64° = 110°

The measure of the angle made by the arc XW is 110°.

Learn more about Cyclic Quadrilateral:

https://brainly.com/question/9992339

Answer: A

Step-by-step explanation: sorry if it is wrong.