Answer: 10
Step-by-step explanation:
Answer:
The numbers are 19 and 71.
Step-by-step explanation:
Let x and y represent the two numbers. Then x + y = 90.
Also, if we assume that the larger number is y, then y = 3x + 14.
We must solve this system of linear equations. Since we already have the result of solution for y (y = 3x + 14), let's use the substitution method to find the solution:
x + y = 90 becomes x + 3x + 14 = 90, or:
4x = 76. Thus, x = 76/4, or 19. If x = 19, then y = 3(19) + 14, or y = 71.
The numbers are 19 and 71.
Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.
Answer:
-17.3
Step-by-step explanation:
Evaluate 5 x + x/2 - 29.4 where x = 11/5:
5 x + x/2 - 29.4 = 5×11/5 - 29.4 + 1/2×11/5
Hint: | Express 5×11/5 as a single fraction.
5×11/5 = (5×11)/5:
(5×11)/5 - 29.4 + (11/5)/2
Hint: | Express (11/5)/2 as a single fraction.
(11/5)/2 = 11/(2×5):
(5×11)/5 - 29.4 + 11/(2×5)
Hint: | Cancel common terms in the numerator and denominator of (5×11)/5.
(5×11)/5 = 5/5×11 = 11:
11 - 29.4 + 11/(2×5)
Hint: | Multiply 2 and 5 together.
2×5 = 10:
11 - 29.4 + 11/10
Hint: | Approximate 11/10.
11/10≈1.1:
11 - 29.4 + 1.1
Hint: | Evaluate 11 + 1.1 using long addition.
| 1 | 1. | 0
+ | | 1. | 1
| 1 | 2. | 1:
12.1 - 29.4
Hint: | Factor out a negative sign in 12.1 - 29.4 in order to subtract.
12.1 - 29.4 = -(29.4 - 12.1):
-(29.4 - 12.1)
Hint: | Subtract 12.1` from 29.4`.
| 2 | 9. | 4
- | 1 | 2. | 1
| 1 | 7. | 3:
Answer: -17.3
Distributive property is in the form of:<span>
a (b+c) = ab + bc</span>
<span>
In this case, we try writing 47 as:</span>
47 = 50-3 or 47 = 40+7
Therefore:<span>
11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 =
517
or
<span>11 x 47 = 11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 =
517</span></span>
Answer:
In order to find the y-intercept you need to first get y by itself
To do so we need to divide y by 4, since we divide one side by four we need to divide the other side by 4 also
4y/4=x/4-24/4
y=1/4x-6
Now in the formula y=mx+b, you b is the y-intercept
In y=1/4x-6, the spot filled in for b is -6
Therefore; you y-intercept would be -6
-6
Hope this helps ;)
