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USPshnik [31]
3 years ago
7

The difference of three times a number and 4 is negative 19

Mathematics
1 answer:
alekssr [168]3 years ago
7 0
3x-4=-19
you add -4 to both sides and get 3x=15 then divide 3 by both sides and get x=5 (15 divided by 3 is 5)
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Help me please solve the circled question show your work
Rasek [7]

<u>Part 1)</u> Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches

therefore

<u>the answer Part 1a) is</u>

84\ inches

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

1 foot=12 inches

so

Convert 3 feet to inches

by proportion

\frac{12}{1} \frac{inches}{foot} =\frac{x}{3} \frac{inches}{feet} \\ \\x=12*3\\ \\x=36\ inches    

therefore

<u>the answer Part 1b) is</u>

36\ inches

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

\frac{4.20}{2} \frac{\$}{pounds} =\frac{x}{5} \frac{\$}{pounds} \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5    

therefore

<u>the answer Part 2) is</u>

\$10.5

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

 we know that

<u>Find the cost of the bananas</u>

5\ pounds*0.80\frac{\$}{pounds}=\$4

<u>Find the cost of the apples</u>

5\ pounds*1.40\frac{\$}{pounds}=\$7

Sum the cost of the bananas and the cost of the apples

\$4+\$7=\$11

\$11 > \$10------> Janice's mother didn't give her enough money

She needs more money

She needs-------> \$11-\$10=\$1

therefore

<u>the answer part 3) is</u>

She needs  \$1 more


3 0
3 years ago
The time to complete a standardized exam is approximately normal with a mean of 70 minutes &amp; a standard deviation of 10 minu
Gennadij [26K]

if the mean is 70 minutes, then 90 minutes is 2 standard deviations above 70. if you look at the bell curve i drew, the percent of exams that took over 90 minutes is 2.5% <span>
</span>
7 0
3 years ago
Read 2 more answers
.Damian wrote the number five and thirty-eight thousandths as 5.38. Was he correct or not? if so, what was the error
eduard

Answer:

he is incorrect.

Step-by-step explanation:

It would be 5 and 38 HUNDRETHS because the first number after the decimal is the tenths.

5 0
2 years ago
Vavilen inflated a huge balloon in 19 minutes. Then he poked a hole in the balloon so that it slowly leaked air out until it was
kaheart [24]

Considering balloon to be an spherical object

Volume of sphere = \frac{4}{3}\pi r^3, where r is the radius of sphere.

After 19 minutes ,If radius of balloon changes from r to R, the Volume changes from V to V'.

V'= \frac{4}{3}\pi R^3,

As given,rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon.

Also, \frac{dR}{dt}=2 \times \frac{dr}{dt}

Now, again the radius changes from R to r.So, Volume changes from V' to Back to V.

Time taken by the balloon to deflate = 38 minutes

But there is no relation between time and volume of Balloon.

So, we can't predict at which rate balloon is deflating or inflating.Apart from the statement given in Question:   \frac{dR}{dt}=2 \times \frac{dr}{dt}

7 0
3 years ago
Read 2 more answers
In a certain​ year, brand A of​ heart-rate watch cost ​$39.99 and brand B cost ​$59.99. A nonprofit community health organizatio
Oksi-84 [34.3K]

Answer:

Brand A = 21 heart-rate watches.

Brand B = 13 heart-rate watches.

Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 ​heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

A+B=34...(1)

We have been given that in a certain​ year, brand A of​ heart-rate watch cost ​$39.99 and brand B cost ​$59.99 and the organization spent ​$1619.66 for the​ watches.

We can represent this information in an equation as:

39.99*A+59.99*B=1619.66...(2)

We will use substitution method to solve our system of equations.

From equation (1) we will get,

A=34-B

Substituting A=34-B in equation(2) we will get,

39.99*(34-B)+59.99*B=1619.66

1359.66-39.99*B+59.99*B=1619.66

-39.99*B+59.99*B=1619.66-1359.66

20*B=260

B=\frac{260}{20}

B=13

Therefore, the organisation purchased 13 heart-rate watches of brand B.

Now let us substitute B=13 in equation (1).

A+13=34

A+13-13=34-13

A=21

Therefore, the organisation purchased 21 heart-rate watches of brand A.

8 0
2 years ago
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