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Savatey [412]
3 years ago
5

How to do 4x=3y-7 and x=4

Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0
4x=3y-7
4(4)=3y-7
16=3y-7
+7      +7
23=3y
      divide by 3 on both sides 
7.6 or 7.7 rounded = y
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Khloe and Emma work at a furniture store. Khloe is paid $245 per week plus 9.5% of her total sales in dollars, xx, which can be
ale4655 [162]

Answer: Their weekly pay would be the same if xx equals $1,600

Step-by-step explanation: The first and most important step is to identify what the question requires, and that is, what is the value of the unknown in the equation of their weekly incomes that would make their pay to be the same? Their weekly pay as per individual is given as follows;

Khloe = 245 + 0.095x ———(1)

Emma = 285 + 0.07x ———(2)

Simply put, we need to find the value of x when equation (1) equals equation (2)

245 + 0.095x = 285 + 0.07x

Collect like terms and we now have

0.095x - 0.07x = 285 - 245

0.025x = 40

Divide both sides of the equation by 0.025

x = 1600

Therefore their weekly pay would be at the same level, if x equals $1600

6 0
3 years ago
Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum
pychu [463]
I can only give possible combination of the ages. Had the sum of the ages been given, then the 3 specific numbers would have been derived.

We need to do prime factorization of 72.

72 ÷ 2 = 36
36 ÷ 2= 18
18 ÷ 2 =  9
  9 ÷ 3 =  3
  3 ÷ 1 = 1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combinations:

1 x 8 x 9 = 72           1 + 8 + 9 = 18
1 x 4 x 18 = 72         1 + 4 + 18 = 23
2 x 4 x 9 = 72            2 + 4 + 9 = 15
3 x 4 x 6 = 72            3 + 4 + 6 = 13


3 0
3 years ago
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
3 years ago
A car travelled 72 km in 3/4 h. If the car is travelling at a constant rate how far will the car travel in one hour?
Anvisha [2.4K]

Answer:

96 km

Step-by-step explanation:

72/3 is 24. When yo add 24 to 72 you get 96km.

3 0
3 years ago
Is square root 1-cos^2theta=-sintheta true? if so, in which quadrants does angle theta terminate?
oksano4ka [1.4K]

Yes it is true:

(1 - cos^2 x) = sin^2 x Sqr.(1 - cos^2 x) = sin x and (-sinx) True, since sin x negative. Also, x terminates in quadrant 3 and 4. Hope this is helpful

4 0
2 years ago
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