Suppose y varies directly with x, and y=98 when x=14. Write the direct
variation equation that relates x and y.

Answer:

36$

24/2*3=$36

Answer:

$18

Step-by-step explanation:

The game costs $24, and so far he has saved three- fourths of the cost.

3/4(24)=x

Answer:

estimated 260 seventh graders use computer 5 to 10 hours a week and 300 seventh graders for 10 hours or less a week

Step-by-step explanation:

260 out of 300

300 our of 360

these numbers because it's an estimate it's what you think there is no correct answer just an estimation

Answer:

Of (multiplication) 0*-1=0, sum (addition) 0+(-1)=-1

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

The total number of marbles is 2+3=5 total

P(1 red, then a second red) = (2/5) * (2/5) = 4/25

Answer:

Step-by-step explanation:

Answer:

1. 24.36

2. Do the same thing (follow the steps in the picture)

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

first we want to write an equation and that equation would be

2500=40x+160 now we solve for x

step 1 subtract 160 from each side

2340=40x

then we divide each side by 40

x=58.5

because he cant bring half a box he can only bring 58

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I believe it is A because according to the theorem it states the other pair of opposite sides are parallel.

"Here's the game plan. Assume that ¯BC ‌ ‌ ¯AD and ¯BC ~= ¯AD. By definition, a parallelogram is a quadrilateral with both pairs of opposite sides parallel. You already know that one pair of opposite sides is parallel. You need to show that the other pair of opposite sides is parallel. In other words, you need to show that ¯AB ‌ ‌ ¯CD."

Answer:

one side = 8xy²·[tex]\sqrt{2x}[/tex]

Step-by-step explanation:

if the area is 128x^3y^4 then to find one side you must take the square root

[tex]\sqrt{128}[/tex][tex]\sqrt{x^3}[/tex][tex]\sqrt{y^4}[/tex] = [tex]\sqrt{4}[/tex][tex]\sqrt{32}[/tex][tex]\sqrt{x^2}[/tex][tex]\sqrt{x}[/tex][tex]\sqrt{y^2}[/tex][tex]\sqrt{y^2}[/tex] =

2xy²[tex]\sqrt{16}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{x}[/tex] =

8xy²·[tex]\sqrt{2x}[/tex]

Given:

Scale factor [tex]s=\dfrac{1}{3}[/tex]

Center of dilation = (4,2)

To find:

The coordinates of the points C' and A.

Solution:

We know that, if a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]

The scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).

[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex]            ...(i)

Suppose the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using rule (i), we get

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]

[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]

[tex]C(-2,11)\to C'(2,5)[/tex]

Hence, the coordinates of Point C' are C'(2,5).

Let us assume that point A is A(m,n).

Using rule (i), we get

[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]

From the given figure it is clear that the image of point A is (8,4).

[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{3}(m-4)+4=8[/tex]

[tex]\dfrac{1}{3}(m-4)=8-4[/tex]

[tex](m-4)=3(4)[/tex]

[tex]m=12+4[/tex]

[tex]m=16[/tex]

And,

[tex]\dfrac{1}{3}(n-2)+2=4[/tex]

[tex]\dfrac{1}{3}(n-2)=4-2[/tex]

[tex](n-2)=3(2)[/tex]

[tex]n=6+2[/tex]

[tex]n=8[/tex]

Therefore, the coordinates of point A are (16,8).

Answer: 17600

Step-by-step explanation: 16000*10% is the same as 16000*0.1, then you get 1600. 16000+ 1600 is 17600

Answer:

TWU is congruent to WUV

(I actually don't know if that's how I'm supposed to answer it but do what you will)

Answer:

$3,993

Step-by-step explanation:

Answe

Step-by-step explanation:

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex] V = \pi r^{2} h [/tex]

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal ([tex]V_{m}[/tex]) can be found by subtracting the internal volume ([tex]V_{i}[/tex]) from the external volume ([tex]V_{e}[/tex]):

[tex] V_{m} = V_{e} - V_{i} [/tex]

[tex] V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h [/tex]    

The external radius is given by the sum of the internal radius with the tickness:

[tex] r_{e} = t + r_{i} [/tex]

Hence, the volume is:

[tex] V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3} [/tex]

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      

Answer:

the Answer is 2 hope that helps

Answer:

34.3%

Step-by-step explanation:

Answer: B

Step-by-step explanation:

3x - 4 = 11

add 4 to both sides so it cancels out

3x = 15

Now divide by 3

x = 5

Answer:

x=5

Step-by-step explanation:

3x - 4 = 11

4 + 11 = 15

3x = 15

x = 5

Answer:

yes

Step-by-step explanation:

Answer:

[tex]2^{9}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ and so

8³ = (2³ )³ = [tex]2^{3(3)}[/tex] = [tex]2^{9}[/tex]

Answer:

x=8\3................

I don't know.... sorry...!...

Answer:

$8.76*x

Step-by-step explanation:

Answer:

I think it's would be D

Step-by-step explanation:

1/2 is 50% So you add 19 and 50 to get 69% or 69/100

Answer:

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

convert mixed fraction to impropoer fraction

9514 1404 393

Answer:

  6.  A

  7.  C

  8.  E

Step-by-step explanation:

6. Devon gets $0.45 for each of the s programs he sells, so his pay for selling is 0.45s. He gets a $40 flat rate for each game, so his total pay is ...

  p = 0.45s + 40 . . . . . matches choice A

__

7. Robert gets $25 per hour in tips for each of the x hours he works, so his tip earnings are 25x. He gets a $40 flat rate for each day he works, so his total pay for working x hours is ...

  y = 25x +40 . . . . . matches choice C

__

8. The graph of a proportional relationship is a straight line through the origin. This is described by B and C, so choice E is the best.

Answer:

xy=1.5

-7x=1.75

x+2y=-12.25

(1/3)y=-2

Step-by-step explanation:

Answer:

1 for each friend

Step-by-step explanation:

Answer:

congruent by side angle side so the triangle is congruent

Step-by-step explanation:

(A²)⁴ = A⁸

(D³)² = D⁶

(5⁴)² = 5⁸

Step-by-step explanation:

[tex] {2.7}^{12.2} = (5x + 9) \\ 5x = 183069.7433 \\ x = 36613.95[/tex]