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natka813 [3]
11 months ago
13

Sanjay and his paving crew laid 40 yards of new pavement. Jack and his crew just took over, and they can lay 15 yards of new pav

ement per hour. If Jack's crew works an 8-hour shift, how much pavement will have been laid in all?
Mathematics
1 answer:
Mila [183]11 months ago
5 0

Answer:

40 yds \: + 8hrs\times  \frac{15yds}{hr }  =  \\ 40yds+ 120yds \: = 160yds

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Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14
MatroZZZ [7]

Answer:

<em>The plant grew </em>12\frac{1}{14}<em> inches</em>

Step-by-step explanation:

<u>Operations with Fractions</u>

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

6\frac{2}{7}+5\frac{11}{14}

Let's convert both fractions to improper form:

6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}

Adding the integers:

6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}

Now we find the LCM of 7 and 14 is 14, thus:

6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}

6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}

6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}

6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}

Rewriting as a mixed number:

The plant grew 12\frac{1}{14} inches

8 0
1 year ago
A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram
Alenkasestr [34]

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

9 0
2 years ago
Read 2 more answers
Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without a remainder. Find the great
Y_Kistochka [10]

Answer:

56 cm

Step-by-step explanation:

We need ro find the GCD of these numbers. In finding the GCD, we list the multiples of the number, beginning with the smallest number. Here, the

The factors of 616=2*2*2*7*11

The factors of 448 =2*2*2*2*2*2*7

Common factors in both are 2*2*2*7=56

Therefore, the greatest possible length is 56 cm

6 0
2 years ago
Ruth left her home at 9 am and walked to the library. She got to the library at 10 30 am. Ruth walked at a speed of 4 mph. (a) W
sveticcg [70]

Answer:

she walked 6 miles.

Step-by-step explanation:

We know that Ruth walks at a speed of 4 mph and it took her 1.5 hours to walk from her home to the library (from 9 to 10.30).

We can solve this using a rule of three:

If she walks 4 miles in 1 hour, how many hours did she walk in 1.5 hours?

1 hour           4 miles

1.5 hours       x miles

Solving for x we get:

x=\frac{1.5(4)}{1} =6 miles

Thus, she walked a distance of 6 miles

8 0
2 years ago
What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot?
Crank

Answer:

<h2>B. 4 StartRoot 2 EndRoot i </h2>

Step-by-step explanation:

Given the surd function √-2 and √-18, we are to fund the sum of both values.

Taking the sum:

= √-2 + √-18

= (√2 * √-1)+ (√18 *√-1)

from complex numbers, √-1) = i

The expression becomes

= √2 i+ √18 i

= √2 i+ √9*2 i

= √2 i+ 3√2 i

= 4 √2 i

= √-2 + √-18 = 4 √2 i

The result is 4 StartRoot 2 EndRoot i

8 0
1 year ago
Read 2 more answers
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