Answer:
15
Step-by-step explanation:
4 x __ = 12
the blank would be 3, once you did it on one side you have to do it on the other side too
5 x 3 = 15
Another way you can do it is by...
= 
solve for x (cross multiply)
Answer:
5x + 10
Step-by-step explanation:
Each term in the parenthesis is multiplied by the 5 outside, that is
(5 × x) + (5 × 2) = 5x + 10
<span>-6x-3y=18
Substitute 0 for y
-6x-3(0)=18
Multply -3 by 0
-6x=18
Divide both sides by -6 so that the only thing on the left side is the variable x.
Final Answer: x= -3</span>
Answer:
4 2/7 - 6/7 = 24/
7
= 3 3/
7
Step-by-step explanation:
Conversion a mixed number 4 2/
7
to a improper fraction: 4 2/7 = 4 2/
7
= 4 · 7 + 2/
7
= 28 + 2/
7
= 30/
7
To find a new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/
7
= 28/
7
b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30
c) Write a previous answer (new numerator 30) over the denominator 7.
Four and two sevenths is thirty sevenths
Subtract: 30/
7
- 6/
7
= 30 - 6/
7
= 24/
7
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirty sevenths minus six sevenths = twenty-four sevenths.
Answer:
22) y=1/4x-3/4
23) y=-1/3x-9
Step-by-step explanation:
22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.
23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.
