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nalin [4]
2 years ago
8

Three less than 4 times a number is equal to 12 more than seven times the number. What is the number?

Mathematics
1 answer:
kompoz [17]2 years ago
6 0

Answer:

-5

Step-by-step explanation:

4x-3 = 7x+12

  • Subtract 12 from each side

4x-15 = 7x

  • Subtract 4x from each side

-15 = 3x

  • Divide each side by 3

-5 = x

  • Rewrite using symmetric property
<h2><u>x = -5</u></h2>

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Can anyone please help me with problems 81, 83, and 86? PLeASE and THaNK YOU!
IgorC [24]
81.
x \times 1.5 + x \times 2.5 +  \frac{x}{2}  \times 4 + ( \frac{x}{2}  + 1) \times 3 = 78 \\ 4 \times x + 4 \times  \frac{x}{2}  + 3 \times  \frac{x}{2}  + 3 = 78 \\ 4 \times x + 7 \times  \frac{x}{2}  = 75
multiply everything with 2
8 \times x + 7 \times x = 150 \\ 15 \times x = 150 \\ x =  \frac{150}{15}  \\ x = 10

x is the number of 1.50 and 2.50 wrenches he bought. do the calculations for the rest of them

83.
(x  + 2)\times  \frac{1}{4}  + x \times  \frac{1}{2}  = 11.75
multiply with 4
x + 2 + 2 \times x = 47 \\ 3 \times x = 47 - 2 \\ 3 \times x = 45 \\ x =  \frac{45}{3}  \\ x = 15
x is the amount of half dollars in the pile of coins. do the calculations for the quarters.

86.
3 \times x + 2 \times x + x = 24 \\ 6 \times x = 24 \\ x =  \frac{24}{6}  \\ x = 4
x is the amount of peaches cans, do the calculations for the rest.
8 0
3 years ago
1. What is the correct reason for statement #3?
r-ruslan [8.4K]

Answer:

1) B. Combine-like terms

2) A. Subtraction Property of Equality

3)D. Division Property of Equality

Step-by-step explanation:

8 0
3 years ago
Solve for x<br> 30x=(60)(ЧО)
Tju [1.3M]

Answer:

x = 8

Step-by-step explanation:

30x = (60)(40)

30x = 240                 Multiply 60 and 40

x = 8                          Divide 30 from both sides

4 0
3 years ago
Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n
sveticcg [70]

Answer:

a) there is s such that <u>r>s</u> and s is <u>positive</u>

b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

3 0
2 years ago
What is the x-intercept of y=5x+20?
densk [106]

Answer:

the x intercept is -4

Step-by-step explanation:

to find the x intercept, set y = 0 and solve for x

y = 5x+20

0 = 5x+20

subtract 20 from each side

-20 = 5x +20 -20

-20 = 5x

divide each side by 5

-20/5 = 5x/5

-4 =x


7 0
3 years ago
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