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gayaneshka [121]
4 years ago
5

Carl is going to make a frame for a picture. The dimensions of the frame need to be 2 feet by 18 inches. How long must the board

be that Carl uses for his frame?
Mathematics
1 answer:
kenny6666 [7]4 years ago
3 0


<span>A rectangle has two pairs of sides of equal length. </span>

<span>So perimeter P = 2ft + 18in + 2ft + 18in </span>

<span>The units have to be all the same to add them so.... </span>

<span>P = 2ft + 1.5ft + 2ft + 1.5 ft </span>

<span>P = 7 ft. </span>

<span>So the board would have to be 7 feet to make a 2ft x 1.5ft picture frame.</span>
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In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba
amm1812

Answer:

<em>X ball bearings will be made in 1 hour and 20 minutes</em>

Step-by-step explanation:

<u>Proportions </u>

The proportions give us an important tool to easily solve common problems of any type. We know that:

Company ABC can make X ball bearings in 3 hours.

Company DEF can make X ball bearings in 4 hours.

Company GHI can make X ball bearings in 6 hours.

In one hour, each company can make

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

Working together, they can make

\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}

ball bearings. Operating

\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}

If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need

\displaystyle \frac{4}{3} hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes

X ball bearings will be made in 1 hour and 20 minutes

8 0
3 years ago
When will dividing a whole number by a fraction result in a whole number answer? Explain.
Lubov Fominskaja [6]

Answer:

From these examples, we can conclude, we will get a whole number  when we divide if the numerator of the fraction  is a factor of the whole number

Step-by-step explanation:

Lets look at a couple of examples

Example 1

4 ÷ 1/3

Copy dot flip

4 * 3/1 = 12

Whole number

Example 2

2 ÷11/12

Copy dot flip

2 * 12/11

24/11

11 goes into 24 2 times  

11*2 = 22  

24-22 =2

11 goes into 24  2 times with 2 left over,  The left over goes over the denominator.

2 2/11

2 2/11 is  a mixed number not a whole number

Example 3

8 ÷2/11

Copy dot flip

8 * 11/2

88/2

44


From these examples, we can conclude, we will get a whole number  when we divide if the numerator of the fraction  is a factor of the whole number

5 0
4 years ago
I need help fast Estimate 81/4
Bingel [31]

Answer:

Step-by-step explanation:

20.25

hope it helps

8 0
3 years ago
Which statement is true about the equation 3.5z = 2.25z − 4.25 + 6.25?
Yuliya22 [10]
Since the solution will be of the form z=k it has one solution...

3.5z=2.25z-4.25+6.25

3.5z=2.25z+2

1.25z=2

z=1.6

A single solution...


5 0
3 years ago
Read 2 more answers
Melinda says that 500 divided by 50 is 10. Use the drop-down menus to explain
IRISSAK [1]

Answer:

Melinda's statement is true.

Step-by-step explanation:

Division implies determination of the number of times that a given number would divide another given number. Example, dividing 100 by 20 means that how many 20s can we get from 100.

Melinda dividing 500 by 50 is trying to determine how many 50s can be found in 500. So that this gives 10.

i.e               \frac{500}{50}   =  10

Therefore, 50 would go in 500 in 10 times. Melinda's statement is true.

4 0
3 years ago
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