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Olenka [21]
2 years ago
7

You buy 30 of your favorite songs from a Web site that charges ​$0.98 for each song. What is the cost of 30 ​songs? Use mental m

ath.
Mathematics
2 answers:
zubka84 [21]2 years ago
6 0

If you are going to use mental math, round $0.98 up to $1.

Rounded, the cost of the 30 songs is $30.

However, since you rounded at the beginning, you need to subtract 2 cents for every song you purchased from the total of $30.

Multiply 30 by $0.02 to get $0.60. Subtract $0.60 from $30.

Your answer should be $29.40.

alexandr402 [8]2 years ago
3 0

Answer:

$29.40

Step-by-step explanation:

When we use mental math to calculate, we simplify the values to calculate them easily.

Since a website that charges $0.98 for each songs rounded to $1.00

You buy 30 of your favorite songs = 30 × 1

                                                          = $30.00

Now subtract 2 cents × 30 = 60 cents or $0.60

$30.00 - 0.60

= $29.40

The cost of 30 songs is $29.40

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What is the most precise name for a quadrilateral with the following vertices:
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Answer:

The most precise name for a quadrilateral ABCD is a parallelogram

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we have

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using a graphing tool

The quadrilateral ABCD in the attached figure

Verify the length of the sides

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find distance AB

A(2,3) B(7,2)

substitute

d=\sqrt{(2-3)^{2}+(7-2)^{2}}

d=\sqrt{(-1)^{2}+(5)^{2}}

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step 2

Find distance BC

B(7,2) C(6,-1)

substitute

d=\sqrt{(-1-2)^{2}+(6-7)^{2}}

d=\sqrt{(-3)^{2}+(-1)^{2}}

d_B_C=\sqrt{10}\ units

step 3

Find distance CD

C(6,-1) D(1,0)

substitute

d=\sqrt{(0+1)^{2}+(1-6)^{2}}

d=\sqrt{(1)^{2}+(-5)^{2}}

d_C_D=\sqrt{26}\ units

step 4

Find distance AD

A(2,3) D(1,0)

substitute

d=\sqrt{(0-3)^{2}+(1-2)^{2}}

d=\sqrt{(-3)^{2}+(-1)^{2}}

d_A_D=\sqrt{10}\ units

step 5

Compare the length sides

AB=CD

BC=AD

Opposite sides are congruent

<em>Verify the slope of the sides</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find slope AB

A(2,3) B(7,2)

substitute

m=\frac{2-3}{7-2}

m=\frac{-1}{5}

m_A_B=-\frac{1}{5}

step 2

Find slope BC

B(7,2) C(6,-1)

substitute

m=\frac{-1-2}{6-7}

m=\frac{-3}{-1}

m_B_C=3

step 3

Find slope CD

C(6,-1) D(1,0)

substitute

m=\frac{0+1}{1-6}

m=\frac{1}{-5}

m_C_D=-\frac{1}{5}

step 4

Find slope AD

A(2,3) D(1,0)

substitute

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step 5

Compare the slopes

m_A_B=m_C_D

m_B_C=m_A_D

The slope of the opposite sides are equal, that means, opposite sides are parallel

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The most precise name for a quadrilateral ABCD is a parallelogram

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