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3 years ago

Solve this system using elimination. 3x - 4y = -5, -10x + 4 = 12

Mathematics

1 answer:

Anettt [7]3 years ago

3 0

Answer:

x = -4/5, y = 13/20

Step-by-step explanation:

-10x + 4 = 12

-10x = 8

x = -4/5

3x - 4y = -5

3(-4/5) - 4y = -5

-12/5 - 4y = -5

-4y = -13/5

y = 13/20

Double check:

3x - 4y = -5

3(-4/5) - 4(13/20) = -5

-12/5 - 13 = -5 (true)

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A city park employee collected 1,850 cents in nickels, dimes, and quarters at the bottom of a wishing well. There were 30 nickel

makvit [3.9K]

Answer: there are 70 dimes and 40 quarters.

Step-by-step explanation:

A dime is 10 cents

A nickel is 5 cents

A quarter is 25 cents

Let x represent the number of dimes at the bottom.

Let y represent the number of quarters at the bottom.

The city park employee collected 1,850 cents in nickels, dimes, and quarters at the bottom of a wishing well. If there were 30 nickels, it means that

10x + 25y + 30 × 5 = 1850

10x + 25y = 1850 - 150

10x + 25y = 1700- - - - - - - - -1

There is a combined total of 110 dimes and quarters. It means that

x + y = 110

Substituting x = 110 - y into equation 1, it becomes

10(110 - y) + 25y = 1700

1100 - 10y + 25y = 1700

1100 + 15y = 1700

15y = 1700 - 1100

15y = 600

y = 600/15

y = 40

x = 110 - y = 110 - 40

x = 70

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mr Goodwill [35]

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Step-by-step explanation:

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Find the number that makes the ratio equivalent to 3:9. 9:?

sesenic [268]

Answer:

Step-by-step explanation:

Given the ratio 3 : 9

and 9 : ?

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3 years ago

What is the simplified base of the function f(x)=1/4(<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B108%7D%20%5E%7Bx%5C%5C%7

JulsSmile [24]

The simplified function of $f(x) = \frac 14(\sqrt[3]{108^x})$ is $f(x) = \frac {3^x}4(\sqrt[3]{4})^x$

<h3>How to simplify the base function?</h3>

The function is given as:

$f(x) = \frac 14(\sqrt[3]{108^x})$

Expand 108

$f(x) = \frac 14(\sqrt[3]{27 * 4})^x$

Take the cube root of 27

$f(x) = \frac 14 * 3^x(\sqrt[3]{4})^x$

Evaluate the product

$f(x) = \frac {3^x}4(\sqrt[3]{4})^x$

Hence, the simplified function of $f(x) = \frac 14(\sqrt[3]{108^x})$ is $f(x) = \frac {3^x}4(\sqrt[3]{4})^x$