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kvv77 [185]
3 years ago
5

X + 2y = 33 x-y = 11

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer:

x=\frac{55}{3},\:y=\frac{22}{3}

Step-by-step explanation:

Solve by Elimination

\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}

\begin{bmatrix}x+2y=33\\ -3y=-22\end{bmatrix}

-3y=-22

Divide -3 on both sides

y=\frac{22}{3}

x+2\cdot \frac{22}{3}=33

\mathrm{Subtract\:}2\frac{22}{3}\mathrm{\:from\:both\:sides}

x+2\cdot \frac{22}{3}-2\cdot \frac{22}{3}=33-2\cdot \frac{22}{3}

x=\frac{55}{3}

x=\frac{55}{3},\:y=\frac{22}{3}

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laila [671]

Answer:

Natalie bought 500 apples at $0.40 each, then she pays $0.40 500 times, this means that the total cost of the 500 apples is:

Cost = 500*$0.40 = $200

Now she threw away n apples from the 500 apples, then the number of apples that she has now is:

apples = 500 - n

And she sells the remaining apples for $0.70 each.

a) The amount that she gets by selling the apples is:

Revenue = (500 - n)*$0.70

b) We know that she did not make a loss, then the revenue must be larger than the cost, this means that:

cost ≤ revenue

$200 ≤ (500 - n)*$0.70

c) We need to solve the inequality for n.

$200 ≤ (500 - n)*$0.70

$200/$0.70 ≤ (500 - n)

285.7  ≤ 500 - n

n + 285.7 ≤ 500

n ≤ 500 - 285.7

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3 years ago
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attashe74 [19]

Answer:

56

Step-by-step explanation:

To divide 364 into two parts in the ratio 15:11, add 15+11 to get 26. Now divide 364 by 26 to get 14. This counters 14 for each part, and we have 26 parts. If each part is x, and x=14, x times 15 will equal 15x=210, so the first number is 210. x times 11 will equal 11x=154, so the second number is 154. 210-154=56, so the first number is 56 bigger than the second.

4 0
2 years ago
Can someone please help me ;-; this is due today
IRISSAK [1]

Answer:

The correct answer: F (Scalene) and A (Acute)

Step-by-step explanation:

F. (Scalene):  By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.

A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.

The given triangle is not obtuse, equilateral, right, and isoceles.

It is <u>not</u> an <em>obtuse </em>triangle because none of the angles are greater than 90 degrees.

It is <u>not</u> an <em>equilateral</em> triangle because its sides are not equal.

It is <u>not</u> a <em>right</em> triangle because none of its internal angles measure 90 degrees.

And it is <u>not</u> an <em>isoceles</em> triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.

6 0
2 years ago
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