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alukav5142 [94]
3 years ago
5

How do you solve five times a number decreased by 18 minus 4 times the same number is -36

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0
x-searched\ number\\\\5x-18-4x=-36\\\\5x-4x=-36+18\\\\x=18\\\\Searched\ number\ is\ 18.
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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses
Greeley [361]

Answer:

The original duration of the tour  is 18 days.

Step-by-step explanation:

Let

the number of days spent be T

Daily expenses be D

Initially ,

total tour expenses was 360

D \times T=360

D = \frac{360}{T}-------------(1)

If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3

(D + 4) \cdot(T -3) = 360---------------(2)

Expanding the eqaution(2)

DT-3D + 4T -12 = 360

Substituting the value of D

(\frac{360}{T})T -3( \frac{360}{T}) + 4T -12 = 360

(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 360 + 12

(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 372

360 - ( \frac{1080}{T}) + 4T= 372

( \frac{1080}{T}) + 4T= 372 - 360

( \frac{1080}{T}) + 4T= 12

1080 + 4T^2= 12T

Solving the quadratic equation we get

T = 18  and T = -15

T is the number of gays and it cannot be negative , hence T is 18

Substituting in equation (1) we get

D = \frac{360}{18}

D =  20

4 0
3 years ago
The enrollment at Temple Junior High School has a change of ─ 60 over a 3 year period. What is the average change per year?
GaryK [48]

Answer:

- 20

Step-by-step explanation:

Total Change in enrollment = - 60

Period of time at which change occurred = 3 years

Average change per year :

Total change in enrollment / period at which change occurred

= - 60 / 3

= - 20

Average change of - 20 enrollments per year

4 0
3 years ago
Mrs Johnson has $110 to spend on parking will cost $12 and admission tickets will cost $140 per person including tax
Vaselesa [24]

<em>The answer is Ms Hernandez can bring up to 6 people to the zoo.</em>

<em />

<em>x -  the number of people that she can bring to the zoo</em>

<em>The parking will cost $7: a = 7</em>

<em>Admission tickets will cost $15.50 per person: b = 15.50x</em>

<em>She can spend on parking and admission tickets $100:</em>

a + b ≤ 100

a = 7

b = 15.50x

7 + 15.50x ≤ 100

15.50x ≤ 100 - 7

15.50x ≤ 93

x ≤ 93 / 15.50

x ≤ 6

5 0
4 years ago
Which of the following equations does not apply the Order of Operations correctly?
drek231 [11]

Answer:

A

Step-by-step explanation:

See paper for order of operations

4 0
4 years ago
Please help with the second question thank you
boyakko [2]

Answer:

The correct answer is C.

Step-by-step explanation:

In order to solve this problem, you need to simplify the equation by using a natural log (ln). This will cancel out the e and make it easy to solve.

e^(2x + 5) = 4 ----> Take the ln

lne^(2x + 5) = ln(4) ------> Simplify

2x + 5 = ln(4) ------> Subtract 5

2x = ln(4) - 5 -----> Divide by 2

x = [ln(4) - 5]/2

5 0
3 years ago
Read 2 more answers
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