Write an algebraic equation that models the following statement.

For the following problems, tell what operation(s) you need to use. Then, write and solve an equation for each problem.

masha68 [24]

Solution-

1.

Bill bought a computer and a printer for a total of $650.

Let p stand for the cost of the printer, so

$\text{Cost of the computer + p} =650$

$\Rightarrow 525+p=650$

$\Rightarrow p=650-525=125$

2.

Bonnie ordered 27 products from one company

Let m stand for the number of missing items

$\text{Number of item she got + m} =27$

$\Rightarrow 19+m=27$

$\Rightarrow m=27-19=8$

3.

Terri bought four lipsticks for a total cost of $20

Let l stand for the cost of one lipstick.

$Price\ of\ one\ lipstick \times I=20$

$\Rightarrow 4 \times I=20$

$\Rightarrow I=5$

4.

Each survey takes him about 10 minutes to complete

Let h stand for the number of hours

$Tota\l time\ taken\ = Time\ taken\ for\ 1\ survey\ in\ hours\times no.\ of\ survey$

$Total\ time\ taken\ =\frac{10}{60} \times 30 = 5 hours$

5.

Andy played golf three times during his vacation. His scores were 92, 87, and 88.

Let A stands for the average.

$Average \ score=A= \frac{Score_1+Score_2+Score_3}{3} =\frac{92+87+88}{3}=89$

6.

Tickets to a local basketball team’s games cost $12 each. Brendon and Ed each bought tickets to four games.

Total tickets = 2×4=8 (∵ They each bought 4 tickets)

(Let t stand for the amount spent on tickets.

$Amount\ spent\ on\ tickets\ =price\ of\ 1\ ticket \times total\ ticket}$

$\Rightarrow t=12 \times 8=96$

6 0

3 years ago

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Write a fraction to represent the probability of rolling a two.

Flura [38]

Answer:

1/6

Step-by-step explanation:

if you want to roll a 2 from a six sided dice then you have six different outcomes. If you want a two then you have a 1 out of six chance of getting the two

8 0

3 years ago

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A total feet of snow falls over three days. On the first day, 1/6 of the total snow falls. One the second day, 7/12 of the total

Marta_Voda [28]

Answer:

If it wants to know the total on day 3, then the answer is 3/12, or 1/4 (fully simplified).

Step-by-step explanation:

1/6 + 7/12 = 3/4

This means that you would need 1/4 more inches of snow. 3/12 is the answer before simplification, and 1/4 is the fully simplified answer.

4 0

2 years ago

It is estimated that there are 21 deaths for every 10 million people who use airplanes. A company that sells flight insurance pr

Yuki888 [10]

Answer:

$0.79 profit per person who buys a policy

Step-by-step explanation:

For every 10 million people who buy a policy the expected outcome is

$(21*100,000) = $2,100,000 (21 deaths out of 10 million)

the expected income is

$10,000,000 ($1 per sold policy)

So the expected profit is

$10,000,000 - $2,100,000 = $7,900,000

To obtain how much the insurance company can make for each policy that it sells, we cross multiply

10,000,000 people ---------> $7,900,000 profit

1 person -----------------------> x

and

10,000,000=7,900,000/x and x = $0.79 profit per person who buys a policy

4 0

4 years ago

show me a picture of 712÷8in long division form plz help me and show me pictures it's due and it's really hard please help me an

icang [17]

712/8=? First found out what 71/8 is. 71/8 is 8 and 7/8. This tells that there is 7 left so now you add 7 to two which gives you 72. Then you divide 72/8=9 and combine 8 and 9 which gives you 89. So 712/8=89

8 0

3 years ago

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