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3 years ago

Write the equation of the line that is parallel to y =- 2x + 5 and goes through the point (2, -3)

Mathematics

1 answer:

algol [13]3 years ago

8 0

Answer:

y = -2x + 1

Step-by-step explanation:

Parallel lines are two lines that have the same plane and slope but never intersect.

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The circle graph shows Tommy Blox spent the money he earned last summer. If he spent $80 on entertainment, how much did Tommy ea

Studentka2010 [4]

Answer:

Tommy earned $250 altogether.

Step-by-step explanation:

Let the total earning of Tommy be 'x' dollars.

Given:

Money spent on entertainment = $80

From the circle shown below:

Percent spent on clothes = 19%

Percent spent on food = 25%

Percent spent on other things = 14%

Percent of savings = 10%

Addition of all percents = 100%

⇒ 19% + 25% + 10% + 14% + % Entertainment = 100%

⇒ 68% + % Entertainment = 100%

⇒ % Entertainment = 100% - 68% = 32%

Therefore, as per question:

$32\%\ of\ x=\$80\\\\0.32x=80\\\\x=\frac{80}{0.32}\\\\x=\$250\\$

Hence, Tommy earned $250 altogether.

6 0

4 years ago

8 pints = how many gallons

AnnyKZ [126]

The answer is 1 gallon

7 0

4 years ago

Read 2 more answers

A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3>Solution:</h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

Let us solve the above equation by quadratic formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0

3 years ago

A circular dinner plate has a radius of 20 centimeters. Find a. the circumference of the plate and b. the area of the plate. Use

gayaneshka [121]

Answer:

The area is approximately 1256.64 The circumference is approximately 125.66

Step-by-step explanation:

This is because to find the area of a circle you square the radius and multiply by Pi. To find circumference, you can multiply the Diameter (twice radius) by Pi.

7 0

3 years ago

Read 2 more answers

Solve for x 2(x-3)+5=4-7(2x-1) A. -1/10 B. 3/4 C. 1/2 D. 1/16

Stolb23 [73]

Hello
2(x-3)+5=4-7(2x-1)
2x-6+5 = 4 -14x+7
2x+14x =6-5+4+7
16x=12
x=12/16
x=(4×3)/(4×4)
x=3/4 (simplified by 4)
answer B

6 0

3 years ago

Read 2 more answers