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2 years ago

You bought a magazine for 6 dollars and three candy bars you spend a total of 12 dollars how much did each candy cost?

Mathematics

1 answer:

Rus_ich [418]2 years ago

4 0

Answer:

Step-by-step explanation:

step 1: 12-6=6

Step2: 6 divided by 3

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Find a positive number that equals 2 when added to its square.

liberstina [14]

It's 1 haha. one squared is one and add and you get 2

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2 years ago

50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

6 0

2 years ago

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Two families are sharing the cost of vacation home for one week. The cost to rent the home is $3,513 plus a $351.30 deposit. Wha

Natali [406]

The answer is $1932.15

3,513+351.30=3864.30

3864.30÷2=1932.15

Hope this helps!

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3 years ago

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Ms. Wolf’s first job was at a frozen yogurt shop where she made $9 per hour. After a raise, Ms. Wolf earned $9.75 per hour. What

Ber [7]

Answer:

8 percent

Step-by-step explanation:

9.75/9 is 1.08, which means 8 percent

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2 years ago

Finding the slope from points

nekit [7.7K]

Answer:

m = -3

Step-by-step explanation:

The formula to find the slope of the line is :

slope = m = $\frac{y_1 - y_2}{x_1-x_2}$

Given that the two coordinates of the line are :

( -1 , - 7 ) ⇒ ( x₁ , y₁ )

( 1 , -13 ) ⇒ ( x₂ , y₂ )

<u>Let us solve now.</u>

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m = ( -7 - ( -13)) ÷ ( -1 - 1 )

m = ( -7 + 13 ) ÷ ( -2 )

m = 6 ÷ -2

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1 year ago

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