All categories

3 years ago

8 • 4 • k + 9 • 5 = (36 - 4)k - (2 • 5)

Mathematics

1 answer:

KengaRu [80]3 years ago

8 0

Simplifying

8 * 4k + 9 * 5 = (36 + -4) * k + -1(2 * 5)

Multiply 8 * 4

32k + 9 * 5 = (36 + -4) * k + -1(2 * 5)

Multiply 9 * 5

32k + 45 = (36 + -4) * k + -1(2 * 5)

Reorder the terms:

45 + 32k = (36 + -4) * k + -1(2 * 5)

Combine like terms: 36 + -4 = 32

45 + 32k = (32) * k + -1(2 * 5)

Multiply 2 * 5

45 + 32k = 32k + -1(10)

Multiply -1 * 10

45 + 32k = 32k + -10

Reorder the terms:

45 + 32k = -10 + 32k

Add '-32k' to each side of the equation.

45 + 32k + -32k = -10 + 32k + -32k

Combine like terms: 32k + -32k = 0

45 + 0 = -10 + 32k + -32k

45 = -10 + 32k + -32k

Combine like terms: 32k + -32k = 0

45 = -10 + 0

45 = -10

Solving

45 = -10

You might be interested in

PLZZZZ answer correctly!! it's IMPORTANT!!

lara [203]

This is what I got and hopefully it helps.

1.A The dot is not filled and it points in the left direction

2.B The dot is filled and it points to the left

3.A The dot is not filled and it is pointed in the left direction

4.C The dot is filled and is pointing in the right direction.

Whenever you have a filled dot it will always be a greater than or equal to or less than or equal to. When the dot is not filled, the answer will always be greater than or less than.

4 0

3 years ago

An um contains 1 red marble, 7 white marbles and 2 blue marbles. A player randomly

BaLLatris [955]

Answer:

A loss of 1.8$

Step-by-step explanation:

In the bag in this problem, we have:

r = 1 (number of red marbles)

w = 7 (number of white marbles)

b = 2 (number of blue marbles)

n = r + w + b = 1 + 7 + 2 = 10 (number of total marbles)

So, the probabilities of choosing a red, a white or a blue marble are:

$p(r) = \frac{r}{n}=\frac{1}{10}=0.1$ (probability of choosing a red marble)

$p(w)=\frac{w}{n}=\frac{7}{10}=0.7$ (probability of choosing a white marble)

$p(b) = \frac{b}{n}=\frac{2}{10}=0.2$ (probability of choosing a blue marble)

The winning associated to each probability are:

+$5 if the marble is red

-$3 if the marble is white

-$1 if the marble is blue

So the expected winning can be calculated as follows:

$E(X)=p(r) \cdot (+\$5)+p(w) \cdot (-\$3) +p(b)\cdot (-\$1)=\\=(0.1)(+5)+(0.7)(-3)+(0.2)(-1)=-\$1.8$

So, he can expect a loss of 1.8$.

4 0

3 years ago

Triangle has sides 7 inches, 7.5 inches, and x inches. What is the range of possible lengths for side x, in inches?

jarptica [38.1K]

Answer:

0.5 < x < 14.5

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining those inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We are given two of the triangle side lengths as y=7.5 and z=7, thus the third side length (x) can be in the range:

7.5 - 7 < x < 7.5 + 7

0.5 < x < 14.5

Note: The latter is the correct answer but none of the choices is accurate. Choice D is closer to the correct answer but the endpoints cannot be included.

6 0

3 years ago

Secant DB intersects secant DZ at point D. Find the length of DY

netineya [11]

By the Intersecting Secants Theorem we have
2x(2x+7)=x(x+23)
4x^2+14x=x^2+23x
3x^2=9x
3x=9
x=3
Since DY is length 2x,
the length of DY is 6.

5 0

3 years ago

The product of 9, and a number increased by 7, is 126. What is the number

RoseWind [281]

Answer:

The number is 7.

Step-by-step explanation:

The unknown number: x

9 (x + 7) = 126

Using the distributive property, 9x + 63 = 126

9x = 63

x = 7

6 0

4 years ago