All categories

3 years ago

10th grade Geometry. -5(7w + 8) = 30

Mathematics

1 answer:

borishaifa [10]3 years ago

3 0

the required equation will be:

-5( 7w+ 8)= 30

-35w- 40= 30

-35w= 30+ 40( as 40 is taken to the other side, its symbol changes)

-35w= 70

W= 70/-35

W= -2

You might be interested in

An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

$P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62$

$= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62$

$=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26$

We have to find the value of x such that the probability is 0.05

$P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26$

Thus, the numerical value of score to achieve grade B is

$76 \leq x \leq 89$

7 0

3 years ago

What is the distance between 5,4 and -1,1

spayn [35]

Answer:

3 $\sqrt{5}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = $\sqrt{(-1-5)^2+(1-4)^2}$

= $\sqrt{(-6)^2+(-3)^2}$

= $\sqrt{36+9}$

= $\sqrt{45}$

= 3 $\sqrt{5}$ ← exact value

≈ 6.71 ( to 2 dec. places )

8 0

3 years ago

How do exponents fit into the order of operations

STatiana [176]

Answer:

Exponents are done before addition, subtraction, multiplicaton, and division

Step-by-step explanation:

PEMDAS=

Parenthases

Exponents

Multiply

Divide

Add

Subtract

6 0

2 years ago

A single number between 0 and 9 occurring either alone or in a larger number is called a what

USPshnik [31]

Answer:

A chronilagical corientation

Step-by-step explanation:

My teacher told me :()()()

6 0

3 years ago

Name an example of an acute angle, right angle, and straight angle according to their angle measures

oksian1 [2.3K]

Acute: anything less than 90 but greater than 0

so, m<CAD

right: angles at exactly 90 degrees, so m<AEC,

and obtuse angles are anything greater than 90 but less than 180 degrees,

so CDA (you can tell by the picture that it is bigger than 90- 90 degrees is exactly perpendicular)

8 0

3 years ago