50 POINTS+BRAINLIEST:8th grade systems of equations word problem-explain steps with simple language, answers for the sake of points will get reported :))

50 POINTS+BRAINLIEST:8th Grade Systems Of Equations Word Problem-explain Steps With Simple Language,

Answers

Answer 1

Answer:

one paperback = 0.6 pounds

one textbook = 3.6 pounds

Explanation:

Let the mass of one paperback be 'p' and one textbook be 't'.

Equation one:

sum of mass = total mass in box

20p + 9t = 44.4

Equation two:

20p + 5p + 9t + 1t = 5125p + 10t = 51

make 't' subject

10t = 51 - 25pt = 5.1 - 2.5p

Insert this into equation one:

20p + 9(5.1 - 2.5p) = 44.4

20p + 45.9 - 22.5p = 44.4

20p - 22.5p = 44.4 - 45.9

-2.5p = -1.5

p = 0.6

The weight of 1 paperback is 0.6 pounds.

The weight of 1 textbook:

t = 5.1 - 2.5p

t = 5.1 - 2.5(0.6)

t = 3.6

The weight of 1 textbook is 3.6 pounds.

Answer 2
The weight of the textbook is 3.6 pounds

Related Questions

Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.

Answers

the range increases by 10 bc 60-50=10
It would be C. The range increases by 10.

60-50= 10.
Only 10 minutes increases the second time she did it.

In Jason's class, 1/2 of the boys have brown eyes, 1/5 of the boys have blue eyes, and 3/10 of the boys have hazel eyes. How many more of the boys have brown eyes than hazel eyes?

Answers

Answer:

2

Step-by-step explanation:

ist you have to lind the lcd of each fraction. that would be 10.

1/2x5/5=5/10 of the boys have brown eyes

1/5x2/2=2/10 of the boys have blue eyes

3/10=3/10 of the boys have hazel eyes

The question is asking to see how many more boys have brown eyes than hazel eyes.

Subtract 3/10 from 5/10

and that gives you 2/10

The answer is 1/5.

We know that half of the boys in Jason's class has brown eyes, while three-tenths of the boys in his class have hazel eyes. Therefore, if we subtract the two values, you should get your answer.

[tex]\frac{1}{2} -\frac{3}{10} =\frac{2}{10}[/tex]

1/5 is the simplified version of 2/10. Therefore, 1/5 is your answer.

Which inequality symbol do I use? -3.5 ___ 1.5 and |-3.5| __ |1.5|

Answers

Answer:

-3.5 < 1.5 and |-3.5| > |1.5|

The answer is -3.5>1.5 and |-3.5| > |1.5|

Please help 15 points each but beware if you use my points for no reason or don't answer all 3 boxes I'll report you

Answers

The answer is 50, 480 and 530
50 480 530 it’s right I got it right

please answer fast!

If a certain measurement of a polygon is 283 in2, it means:

A. the polygon's measurements are 283 inches by 283 inches.

B. the polygon's volume is 283 in?

C. 283 one-inch by one-inch squares will fit over its surface.

D. none of the above.

Answers

Answer A

In^2 this multiplies the number used by itself therefore in your case 283 x 283. You are using the measurement for inches.

Answer: C

Step-by-step explanation:

A says the polygon's measurements are 283 inches by 283 inches. Is it Correct? No. If we multiply these numbers we get 80,089 inches squared, which is not equal to our actual surface of 283 inches squared.

B says the polygon's volume is 283 inches cubed, which is not correct because it says that a certain measurement of a polygon is 283 inches squared, not cubed, which means we got a surface/area, not a volume.

C says that our 283 inches squared area could fit 283 one-inch by one-inch squares, which is correct because one-inch by one-inch is an one inch squared area, if we multiply this one-inch squared by the number 283, we get 283 inch squared area.

And D couldn't be because the answer is C.

Hope I Helped!

Translate the following phrase to a mathematical expression.

a number times fifteen

(A) 15 n
(B) 15 + n
(D) 15 ÷ n
(C) n15

Answers

Answer:

I think C

Step-by-step explanation:

A number times fifteen would be n • 15 or just n15.
The reason it is not 15n
is because it asks a "number" which in this case is represented by  the letter n. That letter is now multiplied (times) by 15. So therefore the number "n" times 15 is n15.

Please
hit brainliest or thanks, it would help me out.

#Learnwithbrainly

A rectangular-shaped dining room table is modeled by the figure given below. A) Write an equation to represent the area of the dining room table. B) If the the area of the table is 112 ft2, what are the dimensions of the dining room table?

Answers

Answer:

A) (x+10)(x+4) = ?

B) (x+10)(x+4) = 112, solve for x

Step-by-step explanation: you multiply the two equations to get the area.

Answer:

a)[tex](x^{2} +14x+40)ft^{2}[/tex]

b)14ft, 8ft

Step-by-step explanation:

a) Area of Rectangle = Length x Breadth

= [tex](x+10)(x+4)\\=x^{2} +4x+10x+40\\=(x^{2} +14x+40) ft^{2}[/tex]

b) Given Area of rectangle = [tex]112ft^{2}[/tex]

[tex]x^{2} +14x+40=112\\x^{2} +14x-72=0 (Quadratic Equation)\\\\[/tex]

Quadratic Equations: [tex]ax^{2} +bx+c = 0\\[/tex]

In this case, a = 1, b = 14, c = -72

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a} \\= \frac{-14+/-\sqrt{14^{2} 4(1)(-72)} }{2(1)} \\= 4 or - 18 (reject)[/tex]

We reject negative values.

so x = 4,

The length of table = (x+10) ft = 4+10 = 14ft

The breadth of the table = (x+4) ft = 4 + 4 = 8ft

What is the distance between the house and the library?

Answers

Answer:

C (√34)

Step-by-step explanation:

Pythagoras' theorem states that: a² + b² = c², where c is the hypotenuse and what we are trying to figure out.

So, 3² + 5² = c²

9 + 25 = 34 = c²

c = √34

:)

Answer:

C (√34)

Step-by-step explanation:

how do i find the LCD? ( Lowest Common Denominator )

Answers

Answer:

First for example let's say

3 and 15

your going to doing what you do normally for gcf but then make an l and times it if that makes sense

Step-by-step explanation:

To find the Lowest Common Denominator, or LCD, you would start by listing the multiples of two numbers. From there, you would find the smallest integer of the two that are the same. That would be your lowest common denominator because it’s the lowest number that the two given denominators have in common. For example, let’s take the numbers 2 and 5:

Multiples of 2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

The two numbers common in the multiples seen above are 10 and 20, because they are multiples of both 2 and 5. However, 10 is less than 20, which would render it to be the lowest common denominator. In cases like this, the lowest integer (the number closest to 0) will always be the LCD.

If you have any further questions, I am open for discussion. Have a nice day!

What is the smallest prime divisor of 5^23+7^17?

Answers

Answer:

well, both numbers are odd, so their sum will be even.

2 is the smallest prime divisor.

please help!!!!!!!!!!!!!!!!!!!!!!

Answers

Add 7 on both sides then multiply by 2 to isolate m, and you should get m=4, so the answer is

the last option.

Hope this helped :)

The last one because m/-2= 4/-2=-2-7 which would equal -9 cause negative and negative equals to negative
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