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3 years ago

Is x = -7, the solution to -11 + 2x = -26? Justify your answer in complete sentences.

1 answer:

4 0

First of all, you can move the +2x to the other side:
-11 = -26 - 2x

Then you can move the -26 to the other side and then simplify:
-11+26 = -2x
15 = -2x

Then you can divide both sides by 2:
7.5 = -x

Then you can flip the sides and the signs around:
x = -7.5

No, The answer is not -7, it is -7.5
Hope this helps! :)

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3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisi

ArbitrLikvidat [17]

Answer:

$Pr =\frac{1}{3}$

Step-by-step explanation:

Given

$S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)$

$(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)$

$(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}$ --- sample space

First, list out all outcomes whose sum is divisible by 5

$A = \{(4,6), (5,5),(6,4)\}$

So, we have:

$n(A) = 3$

Next, list out all outcomes that has an outcome of 5 in both rolls

$B = \{(5,5)\}$

$n(B) =1$

The required conditional probability is:

$Pr =\frac{n(B)}{n(A)}$

$Pr =\frac{1}{3}$

8 0

3 years ago

Can you please give me 5 excersices to get perimeter and area, square or rectangle

igor_vitrenko [27]

◼️ This is a square. Each side is 5cm. What is the area and perimeter????

This is a triangle.Each side is 10cm.What is the area and perimeter????

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8 0

3 years ago

Read 2 more answers

Which expression is equivalent to this polynomial expression?<br> (2x^5 + 3y^4)(-4x^2 + 9y^4)

SOVA2 [1]

Answer:

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

6 0

3 years ago

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(picture)<br>circle the numbers that are divisble by the number given

Dmitry [639]

Answer:

Hope that this helps!!!

3 0

3 years ago

Could someone help me solve this problem?

Ann [662]

Answer:

$\boxed{x=58}$ & $\boxed{m \angle C = 60}$

Step-by-step explanation:

You need to find x first in order to find the measure of angle C. To solve for x, we will use the fact that interior angles of a triangle have angle measurements that add up to 180 degrees.

Using this knowledge, we can create an equation where angles A, B, and C add up to equal 180.