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3 years ago

1. 1. Under a dilation

Mathematics

1 answer:

Gwar [14]3 years ago

7 0

Answer:

I know number 1

Step-by-step explanation:

Number one is ( 12,14)

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Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

5 0

3 years ago

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If a point is reflected over the y-axis, then the coordinates of (x, y) are changed to ______________.

Alisiya [41]

Answer:

its opposite

Step-by-step explanation:

4 0

2 years ago

Joe works at YummyBurger. He earns a salary of $50 a day plus $0.05 for every super-sized value meal he sells. Nate works at Sup

Brums [2.3K]

Answer:

300 burgers

Step-by-step explanation:

You can set up an equation like this: 50+0.05x=20+0.15x

Then, subtract 0.05x from both sides: 50=20+0.10x

Subtract 20 from both sides: 30=0.10x

Divide by .10 on both sides: 300=x

X represents how many burgers must be sold for the boys to have earned the same amount of money, and that is 300 burgers.

7 0

4 years ago

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Help me solve this please

LuckyWell [14K]

9514 1404 393

Answer:

shaded/square = (50π cm²)/(400 cm²) = π/8

Step-by-step explanation:

The quarter circle has area ...

A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²

The half-circle has area ...

A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²

Then the area of the shaded portion is ...

shaded = 100π cm² -50π cm² = 50π cm²

The area of the square is ...

A = s² = (20 cm)² = 400 cm²

Then the ratio of interest is ...

shaded/square = (50π cm²)/(400 cm²) = π/8

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3 years ago

Sam's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Sam $5.70 per pound, and type B co

Furkat [3]

Answer:

165.90 pounds

Step-by-step explanation:

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4 years ago

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