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2 years ago

8

Find the size of an angle which is five times its supplement

1 answer:

zavuch27 [327]2 years ago

7 0

Two supplementary angles when addd together equal 180.

let one angle = x

The second angle is 5 times that so would be 5x

x + 5x = 180

Simplify:

6x = 180

Divide both sides by 6:

X = 30

One angle is 30, the second angle would be 150

The answer is 150

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A grocery store was having a sale. Darla had $15 in her wallet. She planned to purchase 2 gallons of fruit juice, 3 bags of chip

Genrish500 [490]

Complete question :

grocery store was having a sale. Darla had $15 in her wallet. She planned to purchase 2 gallons of fruit juice, 3 bags of chips, and a box of cupcakes. Item Sale Price Gallon of fruit juice $3.50 for first gallon, 50% off the second gallon Bag of Chips 2 for $5 or $2.65 each Box of cupcakes $4.79 How much would Darla pay for her groceries before tax? Show your work.

Answer:

$17.69

Step-by-step explanation:

Amount had = $15

Items to be purchased = 2 gallons of fruit juice, 3 bags of chips, and a box of cupcakes.

First gallon of juice = $3.50

Second gallon = 0.5 * 3.50 = $1.75

3 Bags of chips = $2.65 + $5 = $7.65

A box of cupcake = $4.79

Total cost before tax = $(3.50 + 1.75 + 7.65 + 4.79)

= $17.69

5 0

3 years ago

Evaluate the expression: 2 ⋅ 6^2

irina [24]

Answer:

72

Step-by-step explanation:

6 x 6 x 2 = 72

6 0

4 years ago

Read 2 more answers

Find the quotient of 5/68

antoniya [11.8K]

Use a calculator 5/68 = 5 ÷ 68 = ______

7 0

4 years ago

Read 2 more answers

May someone please help me with this question

Cloud [144]

Answer:

2+i or 2-i (D)

Step-by-step explanation:

First you use the quadratic formula. X= (-b +/- $\sqrt{b^{2}-4ac }$ )/2a

a=1

b=-4

c=5

X= (4 +/- $\sqrt{16-20}$ )/2

X=(4 +/- $\sqrt{-4}$ )/2

The square root of -4 is 2i. i=√-1. Therefore 2i= 2√-1 .If you simplify that, it becomes √-4i.

X= (4+/- 2i)/2

X= 2+/-i

X= 2+i or 2-i

7 0

3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago