Tan(30o)= ?/25
25 * tan(30o) = ?
? = 14.4
9 quarts of red and 3 quarts of yellow. do 3/4 times 12 and 1/4 times 12
Step-by-step explanation:
13.
132 miles in 3 h = 132miles/3hours = 132/3 miles/h =
= 44 miles/h
so,
how long for 110 miles ?
speed = distance/time
time = distance/speed = 110 miles / 44 miles/h =
= 110/44 h = 55/22 h =
= 5/2 h = 2.5 h
14.
60% = 60/100 = 6/10 = 3/5
15.
300% = 300/100 = 3
16.
116 2/3% = (348 + 2)/3% = 350/3% = 350/3/100 =
= 350/300 = 1 50/300 = 1 1/6
17.
19% = 19/100
18.
3.8% = 3.8/100 = 38/1000 = 19/500
19.
166 2/3% = (498 + 2)/3% = 500/3% = 500/3/100 =
= 500/300 = 5/3 = 1 2/3
20.
4/5 = 0.8 = 80%
21.
7/4 = 1.75 = 175%
22.
1/3 = 0.3333333... ≈ 33.33%
23.
2 = 200/100 = 200%
24.
0.4 = 40%
25.
0.375 = 37.5/100 = 37.5%
26.
80% of 60 = 60×80/100 = 60×4/5 = 48
27.
24% of 65 = 65×24/100 = 65×6/25 = 13×6/5 =
= 15.6
28.
115% of 138 = 138×115/100 = 138×23/20 =
= 69×23/10 = 158.7
29.
18.3% of 74 = 74×18.3/100 = 74×183/1000 =
= 37×183/500 = 13.542 ≈ 13.54
30.
6.5% of 115 = 115×6.5/100 = 115×65/1000 =
= 23×13/40 = 7.475 ≈ 7.48
31.
0.75% of 93 = 93×0.75/100 = 93×75/10000 =
= 93×3/400 = 0.6975 ≈ 0.70
Answer:
(-9/7,-26/7)
[more detailed at the bottom of the explanation]
Step-by-step explanation:
I am assuming that this is a system of equations...
So, knowing that y is equal to x + 5, you would plug that in the second equation and find x. Then you would plug x and find y.
—————
Step 1)
Equation 1:
y = (x + 5)
Equation 2:
5x + 2y = 1
Equation 2 can also be written as:
5x + 2(x+5) = 1
I wrote x+5 instead of y because the first equation tells us that y is equal to x + 5.
—————
Step 2)
Solve for x .
5x + 2(x+5) = 1
5x + 2x + 10 = 1
7x + 10 = 1
7x = 1 - 10
7x = -9
x = -9/7
—————
Step 3)
Plug the x value back in the first equation.
y = -9/7 + 5
y = -26/7
—————
Solution:
x = -9/7
y = -26/7
In ordered pair form:
(-9/7,-26/7)
————— ————— —————
Hope this helps !!!!!!!
