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e-lub [12.9K]
3 years ago
7

The line 6x – 3y = 24 represents Shari's distance from home, y in blocks, on her run across town over time, x, in minutes. What

is the x-intercept of this line? What does the x-intercept represent?
Mathematics
2 answers:
BartSMP [9]3 years ago
5 0

Answer:

Is sharon ran pasts house in 4 minutes

Step-by-step explanation:

i took the test its righth

Charra [1.4K]3 years ago
4 0

Answer:

The x-intercept of the line is 4 minutes.

That 4 minutes gives the time when Shari will reach her home.

Step-by-step explanation:

The line 6x - 3y = 24......... (1), represents Shari's distance from home, y in blocks, on her run across town over time, x, in minutes.

So, at y = 0, from the above equation (1), we get 6x - 0 = 24, ⇒ x = 4.

Therefore, the x-intercept of the line (1) is 4 minutes.

That 4 minutes gives the time when Shari will reach her home and the distance between her and her home is zero blocks. (Answer)

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In the number 3,287,854 how many times greater is the value of the 8 in the ten thousands place compared to the value of the 8 i
olga55 [171]

8 in the 10,000s place is worth 80,000.

8 in the hundreds place is worth 800.

80,000/800 = 100

Answer: 100 times.

6 0
3 years ago
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The sales tax on a $350 computer is $22.75.Find the sales tax rate.
Maru [420]
22.75/350=0.065
0.065=6.5%
Sales tax= 6.5%
6 0
3 years ago
Can someone help me with this?? If you can't see the picture don't bother to answer.
Georgia [21]
J is correct. the scale is balanced, so x = 1. there are 9 1’s on the right, and 6 1’s on the left. there are 3 more blocks, and they would have to each be 1.
7 0
3 years ago
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0
3 years ago
Nate and his friends are building a skateboard ramp for an upcoming contest. The length of the ramp on the blueprint is 7.6 inch
ICE Princess25 [194]

Answer:

30.4 feet.

Step-by-step explanation:

We have been given the length of the ramp on the blueprint is 7.6 inches.  The scale on the blueprint is 1 inch to 4 feet. We are asked to find the actual length of the ramp.

We will use proportions to solve our given problem as:

\frac{\text{Actual length}}{\text{Scale length}}=\frac{4\text{ ft}}{1\text{ inch}}

Now, we will substitute the scale length of ramp in our proportion as:

\frac{\text{Actual length}}{7.6 \text{ Inches}}=\frac{4\text{ ft}}{1\text{ inch}}

\frac{\text{Actual length}}{7.6 \text{ Inches}}\cdot 7.6 \text{ Inches}=\frac{4\text{ ft}}{1\text{ inch}}\cdot 7.6 \text{ Inches}

\text{Actual length}=4\text{ ft}\cdot 7.6

\text{Actual length}=30.4\text{ ft}

Therefore, the actual length of the ramp would be 30.4 feet.

7 0
3 years ago
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