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noname [10]
3 years ago
6

Charlene is a writer going on a trip. She is bringing several copies of her latest book in her suitcase. The suitcase itself wei

ghs 5 pounds, and each book weighs 3 pounds. Her full suitcase can weigh no more than 50 pounds. Explain and defend if Charlene will be allowed to bring 20 books with her. Write an equation or inequality to represent the problem situation.
Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

The answer is 5 + 3x  ≤ 50

Step-by-step explanation:

5 + 3x ≤ 50 - 5

3x ≤ 45

 Divide by 3,  x = 15

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1) (7 X 6) = 2 [{45 - 3(7 X 2 - 15 + 6)} + 4] ​
zhuklara [117]

Answer:

42=2[{45-3(14-21)}+4]

42=2[{45-3×-6}+4]

42=2[{45-18}+4]

42=2[{27}+4]

42=2[27+4]

42=2×31

42=62

7 0
3 years ago
Read 2 more answers
I HAVE30 min left help
frez [133]

Answer:

I think 10.5 would be the unit price and 10lbs of potatoes and 2lbs of tomatoes would cost less

Step-by-step explanation:

since tomatoes cost 2 times more I decided to act as he only bought potatoes and in that case he would have bought 22lbs of potatoes so I divided 16.50 by 22 and got .75 then I multiplied it by 10 and got 7.5 as well as multiplied .75 by two to get the price of the tomatoes then I added 7.5+3 to get 10.5

3 0
3 years ago
Find the sumofthe geometrical progression of five terms, of which the first term is 7 and the multiplier is 7.Verify that the su
777dan777 [17]

Answer:

The sum of first five term of GP is 19607.

Step-by-step explanation:

We are given the following in the question:

A geometric progression with 7 as the first term and 7 as the common ration.

a, ar, ar^2,...\\a  = 7\\r = 7

7, 7^2, 7^3, 7^4...

Sum of n terms in a geometric progression:

S_n = \displaystyle\frac{a(r^n - 1)}{(r-1)}

For sum of five terms, we put n= 5, a = 7, r = 7

S_5 = \displaystyle\frac{7(7^5 - 1)}{(7-1)}\\\\S_5 = 19607

The sum of first five term of GP is 19607.

Verification:

2801\times 7 = 19607

Thus, the sum is equal to product of 2801 and 7.

7 0
3 years ago
Find an equation of the line satisfying the given conditions Through (6,4); perpendicular to 3X + 5Y =38
Katyanochek1 [597]
To answer this, we will need to know:

• The slope of the equation we are trying to get
• The point it passes through using the 

First, we will need to find the slope of this equation. To find this, we must simplify the equation 3x+5y=38 into y=mx+b form. Lets do it!

3x+5y=38
= 5y = -3x+38 (Subtract 3x from both sides)
= y= -\frac{3}{5}x+ \frac{38}{5} (Divide both sides by 5) 

The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.

The negative reciprocal of the line given is \frac{5}{3}. 

Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:

\frac{y-y _{1} }{x- x_{1} }=m

Substituting values, we find that:

\frac{y-4}{x-6}= \frac{5}{3}

By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that: 

y= \frac{5}{3}x-6 , which is our final answer.

Thank you, and I wish you luck.
8 0
4 years ago
Read 2 more answers
Can someone help me?
andreyandreev [35.5K]
I’m sorry I can’t see it well enough (my eyesight is bad)
4 0
3 years ago
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