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Sindrei [870]
3 years ago
9

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

ll bearings in 6 hours. Working together, how long will it take all three companies to make X ball bearings?
Mathematics
1 answer:
amm18123 years ago
8 0

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

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5/6 plus blank equals to 5/2
Tju [1.3M]

Answer:

\frac{5}{3}

Step-by-step explanation:

let blank be O

\frac{5}{6} +O=\frac{5}{2} \\

O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}

8 0
3 years ago
JoAnn is taking a trip to visit her family. After one day of driving, she has traveled 315.2 miles. If JoAnn lives 510 miles fro
Elena L [17]

Answer:

194.8 miles

Step-by-step explanation:

510 - 315.2 = 194.8

Hope this helps!

8 0
3 years ago
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Opposites and absolute value mean the same thing.<br><br> True or false
poizon [28]

Answer:

The absolute value of a number is the distance between the number and zero on a number line. In other words, a number and its opposite have the same absolute value.

Step-by-step explanation:

7 0
3 years ago
BRAINLIEST AND 20 POINTS
Oksi-84 [34.3K]
<span>1. Which ratios form a proportion?
a. 4/5, 20/25   -----> 4/5, 4/5 Yes
b.8/12, 18/24  -----> 2/3, 3/4 No
c. 1/3, 7/24     ------> 8/24,7/24 No
d. 2/5, 6/16</span>     -----> 2/5, 3/8 No

<span>2.Which ratio forms a proportion with 9/15 = 3/5
a.3/6 = 2/3 No
b.2/3 No
c.12/30 = 2/5 No
d. 6/10</span> = 3/5 Yes

<span>3.Which proportion has cross products of 5 x 24 and 8x15?
a. 5/8=15/24 ----> 5 * 24 = 8 * 15   Yes
b.5/24=8/15  ----> 5 * 15 = 8 * 24   No
c.8/24=15/5  ----> 5 * 8 = 15 * 24   No
d. 15/8=5/24  </span>----> 15 * 24 = 5 * 8  No
3 0
3 years ago
Polygons ABCD and A'B'C'D' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 o
Blababa [14]
<span>A(2, -2), B(4, -2), C(1, -3), D(5, -3).

A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

That looks like a rotation 90 degrees around the origin then a translation.  

Let's do the rotation ABCD->A"B"C"D"

The rotation is (x,y)->(-y,x)

</span>A"(2, 2), B"(2,4), C"(3,1), D"(3,5).

Compare to
 
A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

we need to translate one unit to the left.

Answer: 90 degree rotation around the origin then translation by (-1,0)

5 0
2 years ago
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