3 years ago

Which ordered pair is the solution to the system of equations below? 4x+3y=31 2y=22-3x (A) (4,5) (B) (5,4) (C) (6,2) (D) (7,1)

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

Plug in the points x and y

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casey has a small business making dessert baskets. she estimates that her fixed weekly costs for rent, electricity, and salaries

m_a_m_a [10]

500 = 200 + 2.50x
x = amount of dessert baskets

500 - 200 = 300.
300 = 2.50x
300 ÷ 2.50 = 120.
Casey made 120 dessert baskets.

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3 years ago

The diameter of a quarter is 2.5 cm. What is it’s circumference?

anastassius [24]

Answer:

7.85 cm

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

$c=\pi d$

The diameter is 2.5 centimeters. Therefore, we can substitute 2.5 cm in for d.

$c=\pi *2.5 cm$

Now, find the circumference.

- In terms of pi:

$c=\pi *2.5 cm$

$c= (2.5)\pi cm$

$c= 2.5\pi cm$

-Using 3.14 as pi

$c=\pi *2.5 cm$

$c=3.14 *2.5 cm$

$c=7.85 cm$

-Using 3.14159... as pi

$c=\pi *2.5 cm$

$c=7.85398163 cm$

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3 years ago

Stretch your thinking rewrite this sentence using the word fewer: Carey reads 10 more pages than Lucey .

Free_Kalibri [48]

Lucy read 10 fewer pages than Carey

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3 years ago

Simplify 2√2-√3<br> ---------------<br> √2+√3

serious [3.7K]

Step-by-step explanation:

$= \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} }$

$= \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} }$

$= \frac{ 2( \sqrt{2} - \sqrt{3} )( \sqrt{2} - \sqrt{3} )}{ { \sqrt{2} }^{2} - { \sqrt{3} }^{2} }$

$= \frac{2(2 - \sqrt{6} - \sqrt{6} - 3) }{2 - 3}$

$= \frac{2( - 1 - 2 \sqrt{6} )}{ - 1}$

$= \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1}$

$= 2(1 + 2 \sqrt{6} )$

$= 2 + 4 \sqrt{6}$

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2 years ago

A function of the form f(x)=mc+b, where m and b are real numbers is called a ____ function ?

FrozenT [24]

You mean f(x) = my+ b
This is called slope

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3 years ago