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Natali [406]
3 years ago
5

Evaluate the following

Mathematics
1 answer:
fgiga [73]3 years ago
6 0
12C5 = 792 5P4 = 120
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The Length of a standard jewel case is 7cm more than its width. The area of the rectangular top of the case is 408cm. Find the l
salantis [7]

Answer:

The length of the case is 24 cm and its width is 17cm.

Step-by-step explanation:

The Length of a standard jewel case is 7cm more than its width.

Let the length be represented by L and the width be represented by W, this means that:

L = 7 + W

The area of the rectangular top of the case is 408cm². The area od a rectangle is given as:

A = L * W

Since L = 7 + W:

A = (7 + W) * W = 7W + W²

The area is 408 cm², hence:

408 = 7W + W²

Solving this as a quadratic equation:

=> W² + 7W - 408 = 0

W² + 24W - 17W - 408 = 0

W(W + 24) - 17(W + 24) = 0

(W - 17) (W + 24) = 0

=> W = 17cm or -24 cm

Since width cannot be negative, the width of the case is 17 cm.

Hence, the length, L, is:

L = 7 + 17 = 24cm.

The length of the case is 24 cm and its width is 17cm.

4 0
3 years ago
What is the percent of change from 75 to 100
Ann [662]

Answer:

33%

Step-by-step explanation:

4 0
3 years ago
I already answered this, but I ain't sure ‘bout the answer that I got. So, I need clarifications, can you solve this for me plea
laila [671]

Step-by-step explanation:

35x׳/7 = (35x×⅕)+(35x×1/x)

15x=7x+35

8x=35

x=4.375.

hope this helps you.

7 0
2 years ago
Read 2 more answers
How many pickles grow on a tree a year
andrezito [222]

Answer:

50-65 days

Step-by-step explanation:

50-65 days

Pickling cucumbers should be ready to harvest between 50-65 days from planting and can be picked over the course of a several weeks. Growing pickling cucumber plants is just like growing other types of cucumber. They prefer a soil pH of 5.5, well-drained soil, and lots of nitrogen.

5 0
3 years ago
If f(x) = x2 - 3x, then find f(a + h) - f(a)
klemol [59]

Answer:

2h-3a

Step-by-step explanation:

First Find f(a+h)

f(a+h) =-a-h

Then find f(a)

f(a) =2a-3h

Then f(a+h) - f(a)= - a-h-(2a-3h)=2h-3a

3 0
3 years ago
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