Answer:
11
Step-by-step explanation:
Step 1: Parenthesis
6² - 5²
Step 2: Exponents
36 - 25
Step 3: Subtract
11
The dot is multiplication.
Answer:
6 23/24
Step-by-step explanation:
First, find the least common factor of 8 and 12, the denominators.
8 16 24
12 24
24, is now the current denominnator,
8x 3 = 24
Now you go do it to the numerator, 3 x 3 = 9
9/24 + ?
Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14
4 9/24 + 2 14/24
Now add the front numbers to make 6, than add the numerators and keep the denominator.
6 23/24, since you can not simplify this fraction, this is the answer.
Answer:
490
Step-by-step explanation:
d(x)=700-7(30)
7x 30=210
700-210=490
therefore,
r(x)=490
Answer:
See below
Step-by-step explanation:
1.
-6(a + 8)
Distribute the -6.
-6a - 48
2.
4(1 + 9x)
Distribute the 4.
4 + 36x or 36x + 4
3.
6(-5n + 7)
Distribute the 6.
-30n + 42
4.
(9m + 10) * 2
Rewrite.
2(9m + 10)
Distribute the 2.
18m + 20
5.
(-4 - 3n) * -8
Rewrite.
-8(-4 - 3n)
Distribute the -8.
32 + 24n or 24n + 32
6.
8(-b - 4)
Distribute the 8.
-8b - 32
7.
(1 - 7n) * 5
Rewrite.
5(1 - 7n)
Distribute the 5.
5 - 35n or -35n + 5
8.
-6(x + 4)
Distribute the -6.
-6x - 24
9.
5(3m - 6)
Distribute the 5.
15m - 30
10.
(-6p + 7) * -4
Rewrite.
-4(-6p + 7)
Distribute the -4.
24p - 28
11.
5(b - 1)
Distribute the 5.
5b - 5
12.
(x + 9) * 5
Rewrite.
5(x + 9)
Distribute the 5.
5x + 45
Both those are drawn to scale.
5. Isosceles right triangle, sides in ratio 1:1:√2 = x:x:24 so x/24=1/√2,
x = 24/√2 = 24(√2/2) = 12√2
Answer: D. 12√2
6. 1:1:√2 = 10 : AB : BC
BC = 10√2
Answer: A. 10√2 ft
