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Over [174]
3 years ago
13

Which of the point-slope equations below are correct for the line that passes through the points (6,6) and (3,1)?

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0
(6,6)(3,1)
slope(m) = (1 - 6) / (3 - 6) = -5/-3 = 5/3

y - y1 = m(x - x1)...using (6,6)
y - 6 = 5/3(x - 6) <== here is one

y - y1 = m(x - x1)...using (3,1)
y - 1 = 5/3(x - 3) <== here is the other one
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In one basketball season, Susan threw the ball and it went in the basket 56 times. If 7/8 of the baskets Susan threw were worth
Ket [755]

Answer:

119

Step-by-step explanation:

Divide the number of baskets (56) by the denominator:

56 ÷ 8 = 7

Multiply by 7 to get the amount of 2 point baskets and multiply by 1 to get the amount of 3 point baskets. (they both add up to 56 baskets)

7 × 7 = 49

7 × 1 = 7

multiply the 49, 2 point baskets by 2 and the 7, 3 point baskets by 3 and add them together to get the total points.

49 × 2 = 98

7 × 3 = 21

98 + 21 = 119

6 0
3 years ago
Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. To the nearest tenth of a m
Brums [2.3K]

Answer:

Step-by-step explanation:

julia : 20 miles in 1.2 hrs = (20/1.2) = 16.67 miles per hr

katie : 20 miles in 1.6 hrs = (20 / 1.6) = 12.5 miles per hr

how much faster does julia ride then katie...

16.67 - 12.5 = 4.17 rounds to 4.2 miles per hr faster <==

4 0
3 years ago
Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the
VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

R=\frac{Pi}{1-(1+i)^{-n}}, where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

n=3\times 12=36

1.25\%=\frac{1.25}{100}=0.0125

30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}

30=\frac{0.0125P}{1-(1.0125)^{-36}}

30=\frac{0.0125P}{1-0.6394091578134724264}

30=\frac{0.0125P}{0.3605908421865275736}

10.817725265595827208=0.0125P

0.0125P=10.817725265595827208

P=\frac{10.817725265595827208}{0.0125}

P=865.41802124766617664

P\approx 865.42

We know that total cost of TV would be equal to down payment plus amount of loan that is:

865.42+600=1465.42

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

\$30\times 36=\$1080

To find the total amount of interest paid, we will subtract amount of loan from total payment.

\$1080-\$865.42=\$214.58

Therefore, the total amount paid in interest would be $214.58.

8 0
3 years ago
Tell the slope of a line that contains the points (5,-3) and (7,3)
KiRa [710]
(5,-3)(7,3)
slope = (y2 - y1) / (x2 - x1)
slope = (3 - (-3) / (7 - 5) = (3 + 3) / 2 = 6/2 = 3 <==
6 0
3 years ago
Read 2 more answers
which car can travel farther on 1 gallon of gas if blue car travels 18 2/5 miles using 0.8 gallons of gas and red car travels 17
Black_prince [1.1K]

Divide the miles by the gallons used for each car to find the miles per gallon, then compare them:

Blue car: 18 2/5 miles / 0.8 gallons = 23 miles per gallon.

Red car: 17 2/5 miles / 0.7 gallons = 24.86 miles per gallon.

The red car can travel farther on 1 gallon of gas.

8 0
3 years ago
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