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azamat
3 years ago
13

Bernita and Derek each plot a number on a number line. The numbers are unique but have the same absolute value. The sum of the a

bsolute values of the numbers is 150. What are the two numbers?
Mathematics
2 answers:
Zinaida [17]3 years ago
4 0

Answer:

The correct answer is B. -75 and 75.

Absolute value means the positive value of a number. Absolute value of -75 is 75. Absolute value of 75 is 75.

75 + 75 = 150.

Step-by-step explanation:

diamong [38]3 years ago
3 0
The correct answer is B. -75 and 75.

Absolute value means the positive value of a number. Absolute value of -75 is 75. Absolute value of 75 is 75.

75 + 75 = 150.
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Simplify the expression:<br><br> 2(3 + g) =
Alex17521 [72]

Answer:

6 + 2g

Step-by-step explanation:

whenever you have a problem like that you have to distribute the 2 to both the numbers in the parenthesis. You have to multiply 2 by 3 which is 6. Then you multiply 2 by g and you get 2g. We can't get any further so the simplified expression would be 6 + 2g

4 0
3 years ago
Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &amp;4 more than Angela's savi
statuscvo [17]

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = \frac{1}{3}A + 8, that is, <em>one-third of Angela's savings + $8 will give us Eli's savings</em>

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that <em>if $10 is added to both their savings, Eli will still have $4 more than Angela.</em>

So, we can solve both equations;

Equation 1: E = \frac{1}{3}A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to <u>eliminate the E:</u> Subtract equation 1 from equation 2, so that;

A + 4 - ( \frac{1}{3}A + 8) = E - E

\frac{2}{3}A - 4 = 0

\frac{2}{3}A = 4

A = 4 × \frac{3}{2} = 6

So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10

So, Eli has saved $10, while Angela has saved $6.

If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.

3 0
3 years ago
Read 2 more answers
6(X - 2) = -48<br><br> Find x
Darya [45]

Answer:

6x-12=-48

6x=-36

x=-6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Ralph is an electrician. He charges an initial fee of $26, plus $31 per hour. If Ralph earned $119 on a job, how long did the jo
lubasha [3.4K]


3 hours

You can turn this into an equation:

F = 26 + 31t
Where F is the money Ralph earned, and t is the number of hours he worked.

Plugging in the 119 for F, we get
119 = 26 + 31t

93 = 31t

3 = t

5 0
3 years ago
PWEASE HELP IF YOUBARE GOOD AT MATH
Novosadov [1.4K]
<h3>Answer: 2</h3>

=========================================================

Explanation:

The function f(x) = -4x+1 is the same as y = -4x+1 where y = f(x)

Compare this to y = mx+b and we see the slope here is m = -4

---------

Now let's find the slope of g(x)

use the slope formula with any two rows you want. I'll pick on the last two rows.

m = (y2-y1)/(x2-x1)

m = (21-9)/(3-1)

m = 12/2

m = 6 is the slope of g(x)

---------

From here, we add the two slope values

(slope of f)+(slope of g) = -4+6 = 2

3 0
3 years ago
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