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2 years ago

The graph shows the solution to the previous system of equations.

Mathematics

1 answer:

patriot [66]2 years ago

8 0

Answer:

Shade above 2x + y = 4.

Shade below 2x + y = 4.

Shade above 2y = 6 – 2x.

Shade below 2y = 6 – 2x.

Make the boundary line 2x + y = 4 dashed.

Step-by-step explanation:

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A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

lina2011 [118]

Answer:

x is the number of large boxes shipped

y is the number of small boxes shipped

7 large boxes were shipped

14 small boxes were shipped

Step-by-step explanation:

The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet.

There were twice as many small boxes shipped as large boxes shipped : so if x large boxes , and y small boxes were shipped, then ,y = 2x small boxes were also shipped.

the total volume of all boxes was 168 cubic feet, which means:

y = 2x ...................(1)

6y + 12x = 168 .......(2),

then, replace y to 2x in the second equation

6(2x) + 12(x) = 168,

12x + 12x = 168,

24x = 168,

x = $\frac{168}{24}$ = 7,

since the small boxes = 2x,

2(7) = 14 boxes, so there are 14 small boxes being shipped,

and x = 7, so there are 7 large boxes being shipped, since x is the number of large boxes being shipped.

5 0

3 years ago

Three solid shapes A,B and C The surface area of shape A is 9cm² The surface area of shape B is 16cm² The ratio of the volume of

dmitriy555 [2]

Answer:

9:20

Step-by-step explanation:

Given:

Surface area of shape A = 9 cm²

Surface Area of shape B = 16 cm²

Ratio of volume of shape A to B = 27:125

Required:

Find the ratio of the height of shape A to the height of shape C.

Ratio of surface area (A:B)² = ratio of linear measures (A:B)

Thus,

(A:B)² = (A:B)

(A/B)² = (A/B)

$(\frac{A}{B})^2= (\frac{9}{16})$

Take the square root of both sides:

$(\sqrt{\frac{A}{B}})^2 = (\sqrt{\frac{9}{16}})$

$\frac{A}{B} = \frac{3}{4}$

Ratio of volume of shape B to C = 27:125

Thus,

(B:C)³ = 27:125

$(\frac{B}{C})^3= (\frac{27}{125})$

Take the cube root of both sides:

$(3\sqrt{\frac{B}{C}})^3 = (3\sqrt{\frac{27}{125}})$

$\frac{B}{C} = \frac{3}{5}$

Therefore, ratio of lengths A:B:C =

3:4:C

A:3:5

To make them equivalent, we have:

9:12:C

A:4:20

Therefore, the ratio of the height of shape A to the height of shape C =

9:20

6 0

3 years ago

1 5/8 • 4 2/3 equals what as a fraction

Doss [256]

Answer:26.25

Step-by-step explanation:

6 0

3 years ago

Divide. Write your answer in simplest form. −0.18÷0.03=

Dmitry_Shevchenko [17]

HI THERE

the answer is -6

#YoghurtCup

4 0

2 years ago

Y = 3x + 1 y = 3x - 3 Please help me out what’s x? What’s y?

Harrizon [31]

Answer:

Step-by-step explanation:

use the comparison method

3x + 1 = 3x - 3

1 = -3

the expression is false for any value of x and y , so there no solution

4 0

3 years ago