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velikii [3]
3 years ago
6

6 times the difference of a number and 4 equals 7

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0
6( x - 4) = 7
6 x - 24 = 7
6 x = 7 + 24
6 x = 31
x = 31/6 

6 ( 31/6 - 4) = 7 
186/6 - 24 = 7
186/6 = 144/6 = 7

42/6 = 7 
7 = 7 
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Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp
ycow [4]

Answer:  The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Number of boys added: 18 </em>
  • <em>Ratio of boys to girls: 5:4 </em>

So, the total number of boys is:

x + 18  

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0
3 years ago
What is the area of 5m, 17m, 8m, and 5m, the shape is a kite
Andrei [34K]

Answer:

It can't be a kite. A kite has 2 pairs of equal sides.

Step-by-step explanation:

4 0
2 years ago
Which of the following describes the graph of y = x² - 225?
lara [203]

Answer:

option 4. The graph has zeroes at x = 15 an x = -15 and it opens upward.

Step-by-step explanation:

we have

y=x^{2} -225

This is the equation of a vertical parabola open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the point (0,-225)

The axis of symmetry is x=0 (y-axis)

Find the x-intercepts (values of x when the value of y is equal to zero)

For y=0

0=x^{2} -225\\x^2=225

square root both sides

x=\pm15

therefore

The graph has zeroes at x = 15 an x = -15 and it opens upward.

3 0
3 years ago
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $850 on a cre
Finger [1]

The sequence will be


850, 850 \times (1.018)^1, 850 \times (1.018)^2, 850 \times (1.018)^3, 850 \times (1.018)^4, ...


That's


850, 865.30, 880.875, 896.731, 912.872, ...



8 0
3 years ago
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How many yards are in 60 ft​
mamaluj [8]

Answer:20 yards

Step-by-step explanation:

3 0
2 years ago
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