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Artyom0805 [142]
2 years ago
13

Please solve both of these with how you solved them.

Mathematics
1 answer:
Paladinen [302]2 years ago
6 0

Answer:

a. (2,5)

b. (14,15.5)

Step-by-step explanation:

a.

y=4x-3

y=-2x+9

Set both equations equal to each other to solve for x.

4x-3=-2x+9

6x=12

x=2

Plug in x to solve for y.

y=4x-3

y=4(2)-3

y=8-3

y=5

(2,5)

b.

y=(5/4x)-2

y=(-1/4x)+19

Set both equations equal to each other to solve for x.

(5/4x)-2=(-1/4x)+19

4((5/4x)-2=(-1/4x)+19)

5x-8=-x+76

6x=84

x=14

Plug in x to solve for y.

y=(5/4x)-2

y=(5/4(14))-2

y=17.5-2

y=15.5

(14,15.5)

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Which equation(s) represents a proportional relationship? A) y = 5+x B) y = 4x C) y = 7x? D) y = 2-x
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Answer:

B & C

Step-by-step explanation:

A proportional relationship has a proportionality constant (constant rate of change) and and must cross through the origin (or begin at (0,0). This means it's y-intercept is 0. Each of the options is a linear function. All of the functions have a constant rate of change. Only one as b=0 or 0 as the y-intercept.

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6 0
3 years ago
In purchasing food for a political rally, you erroneously order shucked medium-size Pacific oysters (which come 8 to 12 per U.S.
dexar [7]

Answer:

3515

Step-by-step explanation:

Data provided in the question:

Dimension of the container =  1.5 m x 18 cm x 28 cm

volume of the container = 150 cm × 18 cm × 28 cm = 75600 cm³

also,

1 L = 1000 cm³

thus,

volume of the container = \frac{75600}{1000} = 75.6 L

Volume of the U.S pint = 0.4732 L

therefore,

Number of pint in the container = \frac{\textup{Volume of container}}{\textup{Volume of pint}}

= \frac{\textup{75.6 L}}{\textup{0.4732 L}}

= 159.76

Also it is given that

Number of Pacific oysters per pint = 10

Number of Atlantic oysters per pint = 32

Thus,

for 159.76 pint

Pacific oysters in container = 10 × 159.76 = 1597.6 ≈ 1598

Atlantic oysters in the container = 32 × 159.76 = 5112.42 ≈ 5113

hence,

order short of your anticipated count = 5113 - 1598 = 3515

6 0
3 years ago
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