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olga55 [171]
3 years ago
7

Find the value of x.

Mathematics
2 answers:
Nana76 [90]3 years ago
6 0

Answer:

x= 23

Step-by-step explanation:

2x+10+3x+55=180

5x+65=180

5x= 180-65

x= 115/5

x= 23

Shtirlitz [24]3 years ago
5 0
Answer is 23 I’m pretty sure
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suppose you take the small prism and stack it on top of the larger prism. what will be the volume of the composite figure?
Lyrx [107]
The answer is D: 1,512 cubic inches. You can get this by multiplying the number on the first cube together, multiplying the numbers on the second cube together, and then adding those two numbers together.
5 0
3 years ago
Read 2 more answers
A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest
solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2  

Step-by-step explanation:

The formula for simple interest is  

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 %       = 0.04

         Let x = amount invested in Portfolio 1. Then

25 000 - x = amount invested in Portfolio 2 and

\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}

OK.

4 0
4 years ago
Graph the linear equation. 2x+6y=−6
lawyer [7]
Y=-1/3x-1
hope this helps...
5 0
3 years ago
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
Mazyrski [523]

Answer:

Decrease of 63.5%.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

y = y(0)(1+r)^{x}

In which y(0) is the initial value and r is the rate of change, as a decimal. If r is positive, it is a increase. If it is negative, it is a decrease.

In this question:

We have that:

y = 3100(0.365)^x

So

1 - r = 0.365

r = 0.365 - 1 = -0.635

So a decrease of 63.5%.

6 0
3 years ago
Read 2 more answers
Find the common difference of the following sequence.​
Darya [45]

You have the correct answer. It is choice B) -1/4

=======================================================

Explanation:

This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.

  • term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
  • term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
  • term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
  • term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2

and so on.

----------

To find the common difference, all we have to do is subtract any term from its previous one.

For example:

d = (term2) - (term1)

d = (1/4) - (1/2)

d = (1/4) - (2/4)

d = (1-2)/4

d = -1/4

The order of subtraction matters, so we cannot say d = term1-term2.

3 0
3 years ago
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