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IgorC [24]
3 years ago
11

Translate the following sentence into math symbols. Then solve the problem. Show your work and keep the equation balanced.

Mathematics
1 answer:
adell [148]3 years ago
4 0

For this case we have to represent the following expression algebraically:

"10 less than x is -45"

So:

10 less than x is represented as: x-10

Then, the complete expression is represented as:

x-10 = -45

Adding 10 to both sides of the equation:

x = -45 + 10\\x = -35

Thus, the value of the variable is x = -35

Answer:

x = -35

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Which phrase matches the algebraic expression below 3(x+7)+10
Vladimir79 [104]
Which ever expression is 3x + 21 + 10 ..... 21 + 10 = 31 .... So it'll be 3x + 31 .
8 0
2 years ago
Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28
natali 33 [55]

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequencea_n=4n-7 , the parameter n must to be a integer.

Second, we need to solve the equations by  n.

n=(a_n+7)/4

All the option in the problem represent an a_n

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

n=(29+7)/4=9\\

For B)

n=(21+7)/4=7\\

For C)

n=(20+7)/4=6.75\\

For D)

n=(28+7)/4=8.75\\

Only A) and B)  only A and B meet the requirement

4 0
2 years ago
A fashion designer makes and sells hats. The material for each hat cost $5.50. The Hats sell for $12.50 each. The designer spend
labwork [276]

The designer must sell 200 hats for breaking even.

Step-by-step explanation:

Given,

Cost for material for each hat = $5.50

Selling price of each hat = $12.50

Cost spend on advertising = $1400

Let,

x represents the number of hats.

Revenue = 12.50x

Costs = 5.50x+1400

For breaking even,

Revenue = Cost

12.50x=5.50x+1400\\12.50x-5.50x=1400\\7x=1400

Dividing both sides by 7

\frac{7x}{7}=\frac{1400}{7}\\x=200

The designer must sell 200 hats for breaking even.

Keywords: addition, division

Learn more about division at:

  • brainly.com/question/916181
  • brainly.com/question/9136949

#LearnwithBrainly

7 0
2 years ago
At 7:00 p.m., there are 1,000 home-team fans and 700 away-team fans at a football game. After 7:00 p.m, 15 home team fans arrive
OleMash [197]

Answer:

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=109:67

Step-by-step explanation:

Initially , total home team fans =1000

and away team fans = 700.

7:00 pm to 8:00 pm = 1 hour = 60 minutes

Given that

Every 10 minutes the number of arrival home team fans is 15.

Then in 1 minutes the number of arrival home team fans is \frac{15}{10}

and in 60 minutes the number of arrival home team fans is \frac{15 \times 60}{10}  

                                                                                                 =90

Therefore total home team fans = (90+1000)=1090

Given that

Every 10 minutes 5 fans leave of away team  leave.

then in  1 minutes \frac{5}{10}  fans leave of away team  leave.

and In 60 minutes \frac{5\times 60}{10} =30  fans leave of away team  leave.

Since 30 away team fans leave.

Total away team fans = (700-30)=670

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=1090:670

=109:67

4 0
2 years ago
Help me on number six
Anna11 [10]
If you divide 4.16 by 5.20 you get .8 which would be .80 cents a pound
8 0
3 years ago
Read 2 more answers
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