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3 years ago

Which equation represents a proportional relationship? A) y = 3x 4 B) y = 3 4x C) y = 3x 4 + 1 D) y = 3 4x + 1

Mathematics

1 answer:

lesantik [10]3 years ago

8 0

Answer:

A. y = 3x/4

Step-by-step explanation:

a proportional relationship between x and y is a straight line passing through the origin (0, 0).

The equation must be in the form y = kx.

y = 3x/4

y = 3/4x

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Can someone help me Write an equation for this graph?

Paladinen [302]

Y=2/3x-1 is the equation:)

4 0

2 years ago

Triangle ABC is translated to create triangle DFG, as shown below.

Anton [14]

Answer:

$x=3$

$y = 9$

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

$AB = DF$

$BC = FG$

$AB = DF$ means:

$3(2x + 10) = 12x + 12$

Open bracket

$6x + 30 = 12x + 12$

Collect like terms

$12x - 6x = 30 -12$

$6x = 18$

Divide by 6

$x=3$

$BC = FG$ means

$2y + 12 = 2(2y - 3)$

Open bracket

$2y + 12 = 4y - 6$

Collect like terms

$4y - 2y = 12+6$

$2y = 18$

Divide by 2

$y = 9$

5 0

3 years ago

The figure is made up of 2 hemispheres and a cylinder.

Setler [38]

Answer:

Hemisphere radius = 3 inch

Sphere volume = 4/3 • π • radius^3

Sphere volume = 4/3 • π • 27

Sphere volume = 113.0973355292 cubic inches

Cylinder Volume = π • radius^2 • height

Cylinder Volume = π • 9 * 10

Cylinder Volume = 282.7433388231 cubic inches

TOTAL VOLUME = 113.10 + 282.74 cubic inches

TOTAL VOLUME = 395.84 cubic inches

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Point P is the center of the circle below. What is the exact area

Ber [7]

Answer:

192π unit²

Step-by-step explanation:

Given that :

Radius = 24

Area of circle = πr²

Area = π*24²

Area = 576π in²

The Shaded area is 120°

Entire Circumference = 360°

Hence, shaded area = 120°/ 360° = 1/ 3 of the area

1/3 * 576π in²

= 192π unit²

5 0

2 years ago

One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish.

Dimas [21]

Answer:

The ratio of the amount for swordfish to the amount of salmon is 6:4

Step-by-step explanation:

Given as :

The price for 1 pound of swordfish = The price of 1.5 pound of salmon

So, On this relation

The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 ) pound of salmon

i.e The price for 2 pound of swordfish = The price of 3 pound of salmon

Now According to question

Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39

Let the money she pay for swordfish = 2 sw

And The money she pay for salmon = 3 sa

∵, The total money she pay for both = $ 39

I.e 2 sw + 3 sa = 39

As 2 sw = 3 sa

So, 3 sa + 3 sa = 39

Or, 6 sa = 39

or, sa = $\frac{39}{6}$ = $\frac{13}{2}$

∴ sw = $\frac{13}{2}$ × $\frac{3}{2}$

or, sw = $\frac{39}{4}$

Now, the ratio of the amount for swordfish to the amount of salmon = $\frac{\frac{39}{4}}{\frac{13}{2}}$

I.e The ratio = $\frac{6}{4}$

Hence The ratio of the amount for swordfish to the amount of salmon is 6:4

Answer

3 0

2 years ago