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Solnce55 [7]
3 years ago
10

Solve the system of equations by substitution. Show all work neatly on your work page. Checking your answer is wise. :) Plz need

this for a test
3x + 2y = 7

y = -3x +11
Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer: x = 1

3x + 4 = 7

subtract 4 from both sides

3x = 3

x = 3/3 = 1

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A rectangular-based pyramid has a height of 5” and the base measurements are 4”and 5”. Find the volume of the pyramid.
Svetach [21]

Answer:

The volume of the pyramid is 33.33 cubic inches

Step-by-step explanation:

we know that

The volume of the rectangular bases pyramid is given by the formula

V=\frac{1}{3}Bh

where

B is the area of the rectangular base of pyramid

h is the height of pyramid

we have

B=(4)(5)=20\ in^2\\h=5\ in

substitute

V=\frac{1}{3}20(5)=33.33\ in^3

6 0
4 years ago
What is the value of p? (picture below)
Airida [17]

I believe the answer is D) 35°.

We have a 90° angle, and a 55° angle.

(It's 55° because this other angle is supplementary to the angle that equals 125°).

So, 90 + 55 + 35 = 180   Which is the answer we want!

7 0
3 years ago
Grace bought a property valued at $200,00.00 and 20% down and a mortgage amortized over 10 years. She makes equal payments due a
BlackZzzverrR [31]

Answer:

Size of each monthly payment = $161.69 per month

Step-by-step explanation:

Given:

Value of property = $20,000

Downpayment = 20%

Number of payment = 12 x 10 = 120

Interest rate = 4% = 4% / 12 = 0.33 %

Computation:

Loan balance = 20,000 - 20%

Loan balance = $16,000

A] Size of each monthly payment [In Excel]

Size of each monthly payment = PMT(0.33%,120,16000,0)

Size of each monthly payment = $161.69 per month

7 0
3 years ago
The balance after the grace period is $25,000. A payment of $5,000 is made on the 10th day. A payment of $5,000 is made on the 2
MariettaO [177]

The average daily balance after 20 days is; $1750

<h3>Average Balance</h3>

The initial balance after grace period is; $25,000

Afterwards, A payment of $5,000 each is made on the 10th and 20th day.

Hence, the total balance after 20 days is;

  • = $25,000 + $5000 + $5000

  • = $35,000.

The average daily balance is therefore the quotient of $35,000 and 20 days

  • The average daily balance = $35,000/20

  • Average daily balance = $1750

Read more on average;

brainly.com/question/15418098

6 0
3 years ago
A bacteria population is going exponentially with a growth factor of 1/6 each hour. By what growth factor does the population ch
solong [7]

Answer:

The bacteria population will change with a growth factor of 1/12 for every half an hour or 1/12 per 30 minutes. (I don't know what the options are, but anything related to the answer I gave should be right.)

Step-by-step explanation:

Simple mathematics should get you the right answer. Here we are dealing with a fraction in a fraction. The first scenario should look like this: <u>1/6 / 1</u>. Basically, that looks like one-sixth over one. Obviously, if we divide 1/6 by 1, we would get 1/6 itself again and we want to know what growth factor the population changes by for every half an hour. There are <u>30 minutes</u> in half an hour and <u>60 minutes</u> in one hour. Let's use the simplified terms to our advantage. Now, our first scenario should look like this: <u>1/6 / 60</u>. Looks better now doesn't it? (Check the linked image to see the full scenario and how I did it in this next part.) For me, I divided 60 by 30 to get the scale factor, which is 2, then I divide 2 by 1/6 to get 1/12. Finally, we have 1/12 per half an hour! If I am wrong, please let me know and I hope this helps! :D

3 0
3 years ago
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