The area of a rectangle is represented by 5x^2+19x+12. What is the length?

Answers

Answer 1
Answer: 5x^2+19x+12=5x^2+15x+4x+12=5x(x+3)+4(x+3)\n\n=(x+3)(5x+4)\n\nAnswer:x+3\ *\ 5x+4

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A rectangular blankets perimeter is 210 inches. If the long sides of the blanket measure 60 inches what is the length of the shorter side of the blanket

Answers

I believe the answer is 45

HELP! I need 2 problems for this question!Q: In this unit you learned about fractions that can be written as terminating decimals and fractions that can be written as nonterminating decimals. Create an addition word problem and a subtraction word problem using fractions. Show how to find the solution to each problem. Once you find the solutions to your problems, rewrite the solutions as either a terminating or nonterminating decimal.

Answers

First are you in connections academy? I am, I had this disscussion before.
Addition:John asks for 2/8 of Riley's cake. Jake gives John 3/6 of his cake. How much cake does John have all together? 2/8+3/6=3/4. 3/4ths in the decimal form is 0.75. That is a Terminating decimal.
Subtraction:Chris threw away 7/12 of his pizza. His buddy James threw away 5/8 of his pizza.How much pizza did they throw away? 7/12-5/8=-1/24. the decimal form is:0.041666667. Hope That helps!!!! :)

What is the length of BC in the right triangle below 21 and 72

Answers

Im guessing 21 and 72 are the side lengths for the triangle?

Alright, so since it's a right triangle you can use the Pythagorean theorem or a^2+b^2=c^2

Since i cant see the picture, im going to use some general math so i can figure out if those two sides are the legs or if one of them is the hypotenuse
Alright 
so im guessing the side we're trying to find is the hypotenuse

21^2+72^2=c^2
441+5184=c^2
5625=c^2
√5625=c
75=c

The answer is 75, hope i helped!

Answer:75

Step-by-step: just took the test

Add.17. (+5) + (-2) + (-1)
18. (-7) + (-6) + (-2)
19. (+11) + (-9) + (-4)
20. (+4) + (-8) + (+6)

Answers

Answer:

17. +5-2-1=+2

18. -7-6-2=15

19. +11-9-4=-2

20.+4-8+6=+2

In a recent year a letter to Europe from United date cost $ 0.94 to mail a letter mailed within the United States cost $0.44 nancy mailed for $3.70 some to Rourke and some to United States how many letter did she send to europe

Answers

Answer: she mailed 3 letters to Europe

Step-by-step explanation:

Let x represent the number of letters that Nancy mailed to Europe.

Let y represent the number of letters that Nancy mailed to United States.

Nancy mailed 5 letters, some to Europe and some to the United States. This means that

x + y = 5

A letter mailed within the United States costs $0.44. A letter to Europe from United date cost $ 0.94 to mail. If the letters that Nancy mailed cost $3.70, then

0.94x + 0.44y = 3.7 - - - - - - - - - - - -1

Substituting x = 5 - y into equation 1, it becomes

0.94(5 - y) + 0.44y = 3.7

4.7 - 0.94y + 0.44y = 3.7

- 0.94y + 0.44y = 3.7 - 4.7

- 0.5y = - 1

y = - 1/ - 0.5 = 2

x = 5 - y = 5 - 2

x = 3

D(b) is a function that models the population of deer based on the number of bobcats in an area. What is an appropriate domain for this function?A) D = {all integers}
B) D = (all real numbers}
C) D = {rational numbers}
D) D = {all whole numbers}

Answers

Answer:

Option: D is the correct answer.

                         D) D = {all whole numbers}

Step-by-step explanation:

As we could see that the number of deer i.e. the population of the deer is based on the number of bobcats in an area.

As the number of bobcats can't be negative or in a fraction or negative it will always be in a whole number (i.e. 0 represents that there are no bobcats, 1,2,.....)

Hence, the correct domain for the function is:

                  D)    D = {all whole numbers}

Option D: all whole numbers, given that the number of bocats cannot be either iirrational or a fraction or a negative number. Only a whole number.