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Aleksandr-060686 [28]
3 years ago
12

A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet o

f gutter were required?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0
162.50-35.00=127.50
127.50/12=10.63
10.63 feet of guttering were required
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abruzzese [7]
First, we get the z-score using formula:
z =( X - μ ) / σ

From the problem, we substitute the given values:
z = (9 - 7.8) / 1.7
z = 0.71

From the z-table (one-tailed), for a z-score of 0.7059, the proportion of numbers that are greater than 9 is  0.76.
6 0
3 years ago
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
Tamiku [17]

Answer: 16 units

Step-by-step explanation:

Point A and Point B are 5 units apart on the x-axis.

Since this is a rectangle, the opposite side is equivalent.

Point A and Point C are 3 units apart on the y-axis.

Same thing applies for these points.

5+5+3+3=16 units

7 0
3 years ago
Select 2 strategies that we can use to add 115+497
Gemiola [76]

Answer:

  B. Add 115+500 then subtract 3

  C. Add 112+500

Step-by-step explanation:

Any strategy that gives a sum of 612 will work. Strategy A gives a sum of 602, so is not useful.

The appropriate choices are B and C.

  B: 115 +497 = 115 +(500 -3) = (115 +500) -3

  C: 115 +497 = 115 +497 -3 +3 = (115 -3) +(497 +3) = 112 +500

6 0
3 years ago
Lily recieves 30 messages on her cell phone.Of those messages,1 over 5 are picture messages and 7 over 8 of the remainder are te
lesantik [10]
So we are starting out with 30 messages.

If 1/5 of the messages Lily receives are picture messages, then take 1/5 x 30 to find out how many that is.

1/5 x 30 = 30/5 = 6. So Lily receives 6 picture messages. 

If 7/8 of the remaining messages are texts, then we need to find the number of remaining messages. If 6 are pictures and she receives 30 overall, then 30 - 6 = 24, the remaining number of messages. Since we know 7/8 of <em>this </em>number is the number of texts Lily received, let's do some more multiplication:

7/8 x 24 = (7 x 24)/8 = 168/8 = 21.

So Lily received 21 text messages, 6 picture messages, and 3 of something else!
3 0
3 years ago
If m∠A = 87° and m∠B = 32°, find m∠1.<br><br> A.) 29°<br> B.) 61°<br> C.) 83°<br> D.) 119°
Rudiy27
The answer to your question is " D.)119"
6 0
3 years ago
Read 2 more answers
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