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vladimir2022 [97]
3 years ago
5

The sum of a number and 3 times a second number is represented by a+3b= 39. The sum of half the of the first number and 1/3 of t

he second number is represented by 1/2a+1/3b=9. What is the first number a? What is the second number b?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
5 0
If we multiply the second equation by 2 we get

a + 2/3b = 18 ............(3)
a + 3b = 39................(1) 
(1) - (3) gives:-
7/3 b = 21
b =  21 * 3/7 = 9 

plug b = 9 in equation (1):-

a + 3(9) = 39 

a = 39-27 = 12 

Answer:- a = 12 and b = 9.
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Q(x)= 1/2x - 3; q(x) =-4. Find the value of x
Lelu [443]

Answer:

q(x) =-5

Step-by-step explanation:

I am solving this using Function Notation.

We are given:

q(x)= \frac{1}{2}x - 3

While we are to find:

q(x) =-4

In Function Notation, replace all the "x" you see with the value you are given.

So, in this case,

q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3

Would become

q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3

Now we can solve.

\frac{1}{2}(-4) - 3

Use PEMDAS; Parenthesis first;

\frac{1}{2}(-\frac{4}{1})

Cross divide: 1 cancels 1, -4 ÷ 2 = -2

Hence, we are left with

(-2) - 3

-5

Therefore, the value of x is -5

8 0
2 years ago
A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
shtirl [24]
<h3>Answer:  C) 13 gallons</h3>

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

Work Shown:

(150 miles)/(6 gallons) = (325 miles)/(x gallons)

150/6 = 325/x

150*x = 6*325 .... see note below

150x = 1950

x = 1950/150 .... divide both sides by 150

x = 13 gallons is the final answer

-----------

Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.

6 0
3 years ago
Read 2 more answers
A horseback rider travels 2 miles in 12 minutes. At this speed, how long does it take to travel 5 miles?
CaHeK987 [17]

Divide the time he traveled by the distance to find how fast he travels 1 mile, then multiply that by 5 miles:


12 minutes /  2 miles = 6 minutes per mile.


6 minutes per mile x 5 miles = 30 total minutes.


7 0
4 years ago
Please help asap! Thanks in advance. :)
Nitella [24]
Vlad did not make a mistake.
5 0
3 years ago
Read 2 more answers
F the point (a, 7) lies on the graph of the equation 5x - y = 8, then a=
Ghella [55]
(a,7) lies on the equation of 5x-y=8, that means we solve for x when y=7.

5x-(7)=8
5x=8+7=15
x=3
=>
a=3
7 0
3 years ago
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