Answer:
Table shown below
Step-by-step explanation:
To solve this problem let's use proportions.
If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price
For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.
Simplifying the fraction, we get 1/3 or 0.33 pounds
The inequality would start out looking like this:
Now it's just a matter of solving the inequalities simultaneously. Get rid of the fraction by multiplying everything by 9:
Then distribute the 5 into the parenthesis:
Now add 160 everywhere:
and finally divide everything by 5:
-22<F<266
Answer:
$13.38
Step-by-step explanation:
tax =7% x 12.50 = 7/100 x 12.5 = $0.875
Price to pay = $12.50 + $0.875 = $13.375 = $13.38
Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
Answer:
Third answer
Step-by-step explanation:
1 x 7 = 7
36 x 7 = 252
