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3 years ago

What is the solution of the inequality shown below? y+7<-1

Mathematics

2 answers:

LUCKY_DIMON [66]3 years ago

5 0

Answer:

y<-8

Step-by-step explanation:

y<-1 - 7

y<-8

olga nikolaevna [1]3 years ago

4 0

Answer:

y < -8

Step-by-step explanation:

To solve an inequality, we must get the variable, y, isolated on one side of the inequality.

$y+7 < -1$

7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.

$y+7-7< -1-7$

$y < -1-7$

$y < -8$

The solution to the inequality is: y< -8

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Which of the following options have the same value as

Keith_Richards [23]

Question:

Which of the following options have the same value as 65% of 20?

Choose 2 answers:

(A) 0.65⋅20

(B) 65/100 divided by 20

(D) 65 * 20

Answer:

Option A has the same value as 65% of 20

Step-by-step explanation:

Let x be the value of 65% of 20

$x = 65\% of 20$

$x = \frac{65}{100} \times 20$

$x =0.65 \times 20$

$x =13$

Thus 65% of 20 is 13

Now ,

Solving Option A

=> $(0.65) \cdot (20)$

=> 13

Solving Option B

=> 65/100 divided by 20

=> $\frac{\frac{65}{100}}{20}$

=> $\frac{0.65}{20}$

=>0.0325

Solving Option C

=>65/20 * 100

=> $\frac{65}{20} \times 100$

=> $3.25 \times 100$

=>325

Solving Option D

=> 65 * 20

=> $65 \times 20$

=> 1300

8 0

3 years ago

Read 2 more answers

PLEASE HELP!! Compare & Contrast how Completing the Square is used to Convert a quadratic function to vertex form with how i

Likurg_2 [28]

Answer:

Step-by-step explanation:

Given a general quadratic formula given as ax²bx+c = 0

To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;

Step 1:

Bringing c to the other side

ax²+bx = -c

Dividing through by coefficient of x² which is 'a' will give:

x²+(b/a)x = -c/a

- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:

x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²

(x+b/2a)² = -c/a+(b/2a)²

(x+b/2a)² = -c/a + b²/4a²

- Taking the square root of both sides

√(x+b/2a)² = ±√-c/a + b²/√4a²

x+b/2a = ±√(-4ac+b²)/√4a²

x+b/2a =±√b²-4ac/2a

- Taking b/2a to the other side

x = -b/2a±√√b²-4ac/2a

Taking the LCM:

x = {-b±√b²-4ac}/2a

This gives the vertex form with how it is used to Solve a quadratic equation.

7 0

3 years ago

Dominic is 1.75 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 37.95 meters. He stands 33.7 meters away

Mama L [17]

Using similarity principle, the height of the tree is 1.97 meters

<h3>How to find height of the tree?</h3>

He is 1.75 meters tall.

His shadow = 33.7 meters

The length of the tree shadows = 37.95 meters

Using similarity principles where the corresponding length are a ratio of each other.

Therefore,

1.75 / x = 33.7 / 37.95

cross multiply

37.95 × 1.75 = 33.7x

66.4125 = 33.7x

divide both sides by 33.7

x = 66.4125 / 33.7

x = 1.97069732938

x = 1.97 meters

learn more on height here:brainly.com/question/27522065

#SPJ1

7 0

1 year ago

A population of 1,000 squirrels lives on a rectangle-shaped farm plot that is 25 feet long by 10 feet wide what is the populatio

Lemur [1.5K]

First, find the area of the plot:
25*10=250

1000/250 is 4

the population density is 4 squirrels per square foot.

5 0

3 years ago

Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. he converts his speed into miles per hour, as shown below.

oksano4ka [1.4K]

The correct question is
Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below
Which ratio is incorrectly written to convert his speed?

the picture in the attached figure

we know that
The term (5280 ft/1 mi) is incorrect
"Feet" needs to be on the bottom to cancel with the previous term.
"Mile" needs to be on top in the numerator so that the answer can be expressed in "miles per hour"

the correct term is (1 mi/5280 ft)

5 0

3 years ago