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Anna35 [415]
3 years ago
8

Solve for Variable: 3x + 7 < 16 A. x > 3 B. x < 5 C. x > 6 D. x < 3

Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

D. x < 3

Step-by-step explanation:

3x + 7 < 16

To solve, we have to isolate x.

3x + 7 < 16

Subtract 7 from both sides :

3x < 9

Divide 3 from both sides :

x < 3

Now in some cases, you could say that the inequality sign would switch, but this is only when you divide by a negative sign, so keep that in mind.

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Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an economy car. Better Deal Rental Car charges $23.00 per
zalisa [80]

Answer:

The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

Step-by-step explanation:

Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:

RC = 25 + 0.14x ....................... (1)

BC = 23 + 0.18x ...................... (2)

Where;

RC = Total cost of Rent-Me Rent-A-Car

BC = Total cost of Better Deal Rental Car

The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:

25 + 0.14x = 23 + 0.18x

25 - 23 = 0.18x - 0.14x

2 = 0.04x

x = 2 / 0.04

x = 50

Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

<u>Note:</u>

This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:

For equation (1):

RC = 25 + 0.14(50)

RC = 25 + 7

RC = 32

For equation (2):

BC = 23 + 0.18(50)

BC = 23 + 9

BC = 32

Therefore, RC = BC = 32 confirms the answer.

3 0
3 years ago
A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5
Georgia [21]

\bf \begin{array}{rrlll} term&\stackrel{f(n+1)=-0.5f(n)}{~\hfill value~ }\\ \cline{1-2} f(1)&120\\ f(2)&-0.5(120)\\ &-60\\ f(3)&-0.5(-60)\\ &30\\ f(4)&-0.5(30)\\ &-15\\ f(5)&-0.5(-15)\\ &7.5 \end{array}

4 0
3 years ago
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serg [7]

Answer:

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Step-by-step explanation:

and then you can get the daughter in the son at the same time and then for the final trip you take the father by himself

8 0
3 years ago
If a can is 20cm Haigh X 8cm diameter what is the volume
sattari [20]
Radius=8/2=4cm

volume=4*4*3.14*20=1004.8

The answer is  1004.8cm₃

7 0
3 years ago
Help please!!!!! I need it ​
docker41 [41]

Answer:

it is 7x-4

Step-by-step explanation:

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