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Liono4ka [1.6K]
3 years ago
10

Solve for x: -1/3(4x+2)=1/3(x+11) A. -13/3 B. -3 C. -13/5 D. -9/5

Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0
X=-13/5

Simplify both sides of the equation, isolate the variable, and then you get your answer. 
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A bank balance is more than $35. Julia wants to write an inequality for the bank balance. Which inequality symbol should she use
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X>35 meaning that it is greater than
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One of them uses twitter
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Lincoln went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 250 mg of sodium and each
Ludmilka [50]
We can solve with a system of equations, and use c for the amount of cans of soup and f for the amount of frozen dinners.


The first equation will represent the amount of sodium. We know the (sodium in one can times the number of cans) plus (sodium in one frozen dinner times the number of dinners) is the expression for the total sodium. We also know the total sodium is 4450, so:


250c + 550f = 4450


The second equation is to find how many of each item are purchased:


c + f = 13


Solve for c in the second equation:


c = 13 - f


Plug this in for c in the first equation:


250(13-f) + 550f = 4450


3250 - 250f + 550f = 4450


300f = 1200


f = 4


Now plug the value for f into the second equation:


c + 4 = 13


c = 9


The answer is 9 cans of soups and 4 frozen dinners.


6 0
3 years ago
Read 2 more answers
Factor the polynomial by grouping. 12x^x+x−13
tekilochka [14]

Answer:

  (x -1)(12x +13)

Step-by-step explanation:

You are looking to rewrite the middle term as the sum of terms that have factors of (12)(-13) that have a total of +1. Those factors are -12 and +13, so the expression you are factoring by grouping is ...

  12x^2 +13x -12x -13

  = x(12x +13) -1(12x +13)

  = (x -1)(12x +13)

5 0
3 years ago
Rectangle $ABCD$ is the base of pyramid $PABCD$. If $AB = 8$, $BC = 4$, $\overline{PA}\perp \overline{AD}$, $\overline{PA}\perp
11Alexandr11 [23.1K]

Answer:

<h2>181.33</h2>

Step-by-step explanation:

Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.

Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.

Base Area = Length * Breadth

Base Area = AB * BC

Base Area = 8*4 = 32

If \overline{PA}\perp \overline{AD}\ and \ \overline{PA}\perp \overline{AB}, and PB = 17, then the height of the pyramid is PB = 17.

Volume of the pyramid = 1/3 * 32 * 17

Volume of the pyramid = 1/3 * 544

Volume of the rectangular based pyramid = 181.33

8 0
3 years ago
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