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3 years ago

Find the value of each variable. Write the equation and solve showing ALL the work.

Mathematics

1 answer:

Wittaler [7]3 years ago

3 0

Answer:

x = 96°

y = 102°

Step-by-step explanation:

Angles on a straight line add up to 180

78 + y = 180

y = 180 - 78

y = 102

Angles in a quadrilateral add up to 360

78 + 90 + x + x = 360

78 + 90 + 2x = 360

168 + 2x = 360

2x = 360 - 168

2x = 192

x = 192/2

x = 96°

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How does a Nine and thirty six hundredths with a decimal point

Harrizon [31]

9.36

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3 years ago

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BRAINLIEST!!Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in h

xxMikexx [17]

Answer:

The possible number of CDs she could buy is 1, 2, and 3.

Step-by-step explanation:

First, you have to make an equation to solve to find the answer(s):

80 - (18 · x) ≥ 20
80 is how much money Felicia has; 18 is for the cost of each CD; x is for the number of CDs; ≥ is no less; and 20 is how much money Felicia needs to have left.

1.) 80 - (18 · 1) ≥ 20

80 - 18 · 1 ≥ 20

80 - 18 ≥ 20

62 ≥ 20

Since 62 ≥ 20 is always true, there are infinitely many solutions.

2.) 80 - (18 · 2) ≥ 20

80 - 18 · 2 ≥ 20

80 - 36 ≥ 20

44 ≥ 20

Since 44 ≥ 20 is always true, there are infinitely many solutions.

3.) 80 - (18 · 3) ≥ 20

80 - 18 · 3 ≥ 20

80 - 54 ≥ 20

26 ≥ 20

Since 26 ≥ 20 is always true, there are infinitely many solutions.

4.) 80 - (18 · 4) ≥ 20

80 - 18 · 4 ≥ 20

80 - 72 ≥ 20

8 ≥ 20

Since 8 ≥ 20 is false, there is no solution.

5.) 80 - (18 · 5) ≥ 20

80 - 18 · 5 ≥ 20

80 - 90 ≥ 20

- 10 ≥ 20

Since - 10 ≥ 20 is false, there is no solution.

4 0

3 years ago

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3. An electric bill is an essential expense for young people who get their first

Dmitrij [34]

Answer:

Mean = $123.8

Range= $72

Variance= $607.344

Standard deviation=$ 24.64

Step by step explanation:

The list of the data of electricity bill on ascending order

$88,$90,$90,$95,$110,$115,$120,$126,$144,$150

Mean = (summation of($88,$90,$90,$95,$110,$115,$120,$126,$144,$150))/10

Mean = 1238/10

Mean = $123.8

Range= highest value- Lowest VA

Range= 150-88

Range= $72

Variance=( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)/10

Variance= (1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)/10

Variance= 6073.44/10

Variance=$ 607.344

Standard deviation= √variance

Standard deviation= √ 607.344

Standard deviation=$ 24.64

6 0

3 years ago

Harish

Artist 52 [7]

Answer:

Step-by-step explanation:

Distance traveled in $1\frac{4}{5}$ hours = $\frac{3}{10}$

Distance traveled in 1 hour = $\frac{3}{10}$ ÷ $1\frac{4}{5}$

$=\frac{3}{10}$ ÷ $\frac{9}{5}$

$= \frac{3}{10}*\frac{5}{9}\\\\=\frac{1}{2}*\frac{1}{3}\\\\=\frac{1}{6}$

distance traveled in 3 1/5 hours = $\frac{1}{6}*3\frac{1}{5}$

= $=\frac{1}{6}*\frac{8}{5}\\\\=\frac{1}{3}*\frac{4}{5}\\\\=\frac{4}{15}$

5 0

3 years ago

How many years would it take to make $500 interest on a 12000 investment at 3% per year

padilas [110]

Answer:

$t=1.4\ years$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\\ P=\$12,000\\ I=\$500\\r=3\%=3/100=0.03$

substitute in the formula above

$500=12,000(0.03t)$

solve for t

$500=360t$

$t=500/360$

$t=1.4\ years$

7 0

3 years ago