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miss Akunina [59]
3 years ago
14

Mr cruz cut three pieces of wood for a project .The first piece of lumber is the longest.The second is 7/8 times as long as the

first piece . the third piece is 12 5/16 inches shorter than the second piece the their piece is 24 7/16 inches long
A)How long is the first piece of wood?
B)How much wood did Mr cruz use to make all 3 pieces?
c)Mr cruz has 32 ft of lumber left he wants to cut 4 more of each of the pieces described above does he have enough lumber?justify your answer
Mathematics
1 answer:
madreJ [45]3 years ago
3 0

1st piece is the longest

 2nd piece is 24 7/16 + 12 5/ 16 = 36 3/4 inches long

3rd piece is 24 7/16 inches

 2nd piece is 7/8 as long as first piece so divide the length of the 2nd piece by 7/8

3 3/4 / 7/8 = 42 inches

A) 1st piece is 42" long

 B) now add them all: 42 + 36 3/4 + 24 7/16 = 103 3/16 inches total

C) 103 3/16 inches / 12 = 8.6 feet

8.6 x 4 = 34.4 feet, he has 32 feet so he does not have enough to cut 4 more of each size.

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G is between E and H, and F is the midpoint of EG. If FG=2 and FH=8, find EH.
kykrilka [37]

Answer:

EH = 10

Step-by-step explanation:

Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).

8 0
3 years ago
Factor completely 18b-12<br> Enter your answer in the boxes <br><br> _____(_____)
umka21 [38]
6b(3-2)
is the answer for your question

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3 years ago
Help my grade depends on it
Veseljchak [2.6K]
Lily made $75.36 more than Layla did.  If Layla raised her price to $1.00, she would still not make more money than Lily.

Use a proportion to find the number of cupcakes Lily makes in 8 hours.  She bakes 7 cupcakes in 10 minutes; we want to know how many she makes in 8(60)=480 (since there are 8 hours and each hour is 60 minutes):

7/10 = x/480

Cross multiply:
7*480 = 10*x
3360 = 10x

Divide both sides by 10:
3360/10 = 10x/10
336 = x

Lily bakes 336 cupcakes.

She sells 2/3 of these; 2/3(336) = 2/3(336/1) = 672/3 = 224 cupcakes sold.

Each cupcake is sold for $1.29; 224(1.29) = 288.96

To find the number of cupcakes Layla makes in 8 hours, we set up a different proportion.  We know she bakes 8 cupcakes in 12 minutes; we want to know how many she bakes in 8(60) = 480 minutes:

8/12 = x/480
8*480 = 12*x
3840 = 12x

Divide both sides by 12:
3840/12 = 12x/12
320 = x

She bakes 320 cupcakes.  She sells 75% of those; 75% = 75/100 = 0.75:
0.75(320) = 240

Each of those 240 cupcakes sells for $0.89:
0.89(240) = 213.60

This means Lily makes 288.96-213.60 = 75.36 more than Layla.

If Layla raised her price to $1.00, she would make 1(240) = $240; this is still less than Lily.
6 0
3 years ago
What is the largest factor of 54,321 that is less than 54,321?
Reil [10]

Answer:smallest factor is 3

Largest factor is 18107

Step-by-step explanation:

54321 = 3x18107 = 3x19x953 ................Ans

5 0
3 years ago
Please explain how to solve this 
natka813 [3]
I think it is 1.5×p.
Because for example:
If there were 99 science problems, then...
99÷3=33
99÷2=49.5
49.5÷33=1.5
33=p
The #of science problems=p×1.5
5 0
3 years ago
Read 2 more answers
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