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Lyrx [107]
3 years ago
9

How do you simplify algebraic expressions

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0
Factor out common factors. 10x+15 >>> 5(2x+3)
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Find the lateral area and the surface area of the right prism.
liraira [26]

Answer:

390 in^{2}

Step-by-step explanation:

We know that the top is a rectangle triangle, we only have two of the tree sides and the one that is missing is the hypotenuse. The formula to find it is h^{2}= a^{2} +b^{2}

If we put the values we know it would be

h^{2}= 5^{2} +12^{2}

h^{2}= 25 +144

h^{2}= 169

h=\sqrt{169} = 13

So now we have the lenght missing.

The area of the top and bottom is the same and we found it by the formula \frac{(base)(height)}{2} = \frac{(12)(5)}{2} = 30, that is the area of just one triangle, multiply by 2 and that is the area of top and bottom = 30 x 2 = 60

The area of a rectangle is base x height, we have three rectangles.

First one: 13 x 11 = 143

Second one: 5 x 11 = 55

Third one: 12 x 11 = 132

The sum of the areas would be = 60 + 143 + 55 + 132 = 390 in^{2}

5 0
3 years ago
A(c-b)=d<br><br> solve for c
Salsk061 [2.6K]
Here's the answer to your questions

8 0
3 years ago
The graph of y = 2x is shown, along with the reflection line y = x. What is the equation of its inverse logarithmic function, an
IRINA_888 [86]
y=2^x\\\\\log_2 y=\log_22^x\\\\\log_2 y=x\\\\\boxed{y=\log_2 x}\\\\Answer:\boxed{y=\log_2x;\ D:x \ \textgreater \  0;\ R:y\in\mathbb{R} }

7 0
3 years ago
Ethan buys a video game on sale. If the video game usually costs $39.99, and it was on sale for 20% off, how much did Ethan pay?
Ann [662]
Hello There!

Ethan would pay $31.99  or rounded up two 32 which ever is your answer choice 

Thus being why.

if you times 39.99 x .20 you get 7.998

39.99 - 7.998 is 31.99

Hope This Helps!
7 0
4 years ago
Read 2 more answers
You have $250,000 in an IRA individual Retirement Account at the time you retire. You have the option this money in two funds: F
love history [14]
So to start off with this problem, let us call the amount invested in Plan A and B as a and b respectively.

So equation 1: a + b = 250,000

Next, we need to get an equation which is equal to 10,000. So the interest rate in plan a + interest rate in plan b would be equal to 10,000. Rewriting this sentence will give us:

Equation 2: .028a + 0.078b = 10,000

Rewrite the first equation into a = 250,000 - b, and then plug the value into equation 2.

.028(250,000 - b) + 0.078b = 10,000

7,000 - 0.028b + 0.078b = 10,000
-0.028b + 0.078b = 10,000 - 7,000
0.05b = 3,000
b = $60000 amount invested at 2.8% while 
250,000 - 60,000 = $190,000 is the amount invested at 7.8%

3 0
3 years ago
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