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fiasKO [112]
3 years ago
11

Simplify the expression 14 + 5(x+3)-7

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0
14 + 5(x+3)-7
14 + 5x +15 -7
5x + 22
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Whats the median of (20, 15, 14, 16, 17, 12, 20, 22)
Tatiana [17]

Answer:

16.5

Step-by-step explanation:

Given data to us is ,

  • 20, 15, 14, 16, 17, 12, 20, 22 .

Arrange it in ascending order .

= 12 , 14 , 15 , 16 , 17 , 20 , 20 , 22

The middle most observation will be median in case n is odd and average of middlemost observations if n is even , that is n = 8 .

=> Middlemost observations = 16 , 17

=> Mean = 16 + 17 /2 = 33/2 = 16.5

5 0
2 years ago
A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.
blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

7 0
3 years ago
Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6
PilotLPTM [1.2K]

Answer:

a. (6s-5s)+3=\frac{1}{12}-\frac{1}{6}

b. s=-\frac{37}{12}

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of 6s and 5s" must be expressed as:

6s-5s

- Then, "Three more than the difference of 6s and 5s " is:

(6s-5s)+3

- "The difference of  \frac{1}{12} and \frac{1}{6} " can be expressed in this form:

\frac{1}{12}-\frac{1}{6}

Therefore, "Three more than the difference of 6s and 5s is equal to the difference of  \frac{1}{12} and \frac{1}{6} " is:

(6s-5s)+3=\frac{1}{12}-\frac{1}{6}

b. Solve for "s" in order to find its value:

s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}

8 0
3 years ago
Greg bought 19 11/16 gallons of gas. What decimal should the meter on the gas pump read? (19 11/16 its a fraction) plss help &lt
Katena32 [7]

Answer:

That would be 19.6875 in decimal form.

Step-by-step explanation:

7 0
2 years ago
Solve the system of equations hauling substitution y=3x-1 and 5x+y=-9 PLEASE HURRY
jonny [76]
The answer will be in the picture

7 0
3 years ago
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