question in the attachment

**giving BRANIST to FIRST to answer **

Answer:

[tex]-5<x<2[/tex]

Step-by-step explanation:

We have the inequality:

[tex]|2x+3|<7[/tex]

Use the definition of absolute value:

[tex](2x+3)<7\text{ or } -(2x+3)<7[/tex]

Let's evaluate each case individually.

Case 1)

We have:

[tex]2x+3<7[/tex]

Subtract 3 from both sides:

[tex]2x<4[/tex]

Divide both sides by 2:

[tex]x<2\\[/tex]

Case 2)

We have:

[tex]-(2x+3)<7[/tex]

Divide both sides by -1. Since we're dividing by a negative, flip our sign:

[tex]2x+3<-7[/tex]

Subtract 3 from both sides:

[tex]2x<-10[/tex]

Divide both sides by 2:

[tex]x<-5[/tex]

So, our solutions are, from least to greatest:

[tex]\{x|-5, 2\}[/tex]

We can see that our inequality is a greater than.

Remember, when dealing with absolute value:

When our sign is greater than (or equal to), our solution is an "or" inequality with our solutions being all values less than our lesser solution or all values greater than our greater solution.

When our sign is less than (or equal to), our solution is an "and" inequality with our solution being between our two solutions.

Since our inequality is a less than, our solution is all the values between our lesser solution and our greater solution.

Our lesser solution is -5. Our greater solution is 2.

So, the solution to the inequality is all values between -5 and 2. As a compound inequality, this is:

[tex]-5<x<2[/tex]

And we're done!

A is the first letter in the alphabet it makes a ahhhhhh sound and is a very usful letter and is clasafiyed as a vauve

Answer:

A

Step-by-step explanation:

the absolute value of a negative number is positive because the absolute value of a number is the distance from 0 on the number line, and distance is positive. -1 is negative, and positive numbers are larger than negative numbers, so |-5/8| is automatically larger.

Answer:15

Step-by-step explanation: 1st multiple what’s in the parenthesis (3*3= 9 & 4*4= 16

Next write it out 22+(9-16)

Then you subtract 9 from 16 since it’s in parenthesis So it’s 22+(-7) and since you are adding a negative and a positive together you will have to subtract and keep the sign of the larger number so the answer is 15 since u needed to subtract but 22 is the larger number making it positive answer

Answer:

8700

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

using pythagoras theorem

a²+b²=c²

5²+2²=c²

c²= 25+4

c²=29

[tex] \sqrt{c ^{2} } = \sqrt{29} [/tex]

c=5.4

Answer:

C. 15m

Step-by-step explanation:

if ABCD and EFGH are congruent that means that they are equivalent to each other. If side FG is the base of that trapizoid, and side CD is the base with the measurement of 15m, then we are left to believe that side FG is 15m

Answer:

Yes, it should work.

Step-by-step explanation:

DC=AB  (because it is a rectangle and they are parallel)

DA=CB (because it is a rectangle and they are parallel)

DB=AC (given)

Those are all sides and gives enough information for us to know that it is congruent.

Answer:

yes

Step-by-step explanation:

Answer: 490.63

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

If a car is traveling 50 miles an a hour, then divide 150 into 3, we are using 3 because it is 3 hours.

Answer:it will take the car 3 hours

Answer: no solutions

Step-by-step explanation:

Answer:

500 grams

Step-by-step explanation:

3,200-2,700=500

The length of the diagonal of the room is approximately 21.2 feet when rounded to the nearest tenth.

Given information:

A square room in Denise's house measures 15 feet by 15 feet.

Since the room is square, the diagonal forms the hypotenuse of a right triangle whose legs are the sides of the square.

Each side of the square measures 15 feet, so we have:

d² = 15² + 15²

Simplifying:

d² = 2(15²)

d² = 2(225)

d² = 450

Taking the square root of both sides:

d ≈ 21.2

To learn more about the square;

https://brainly.com/question/28776767

#SPJ1

Step-by-step explanation:

it's it's a photo hope this will help you

Answer: ok i dont really know but ask your teacher for help

Step-by-step explanation:

The five axioms are:

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

Answer:

AXIOMS AND POSTULATES OF EUCLID

Step-by-step explanation:

AXIOMS

Things which are equal to the same thing are also equal to one another.

If equals be added to equals, the wholes are equal.

If equals be subtracted from equals, the remainders are equal.

Things which coincide with one another are equal to one another.

The whole is greater than the part.

POSTULATES

To draw a straight line from any point to any point.

To produce a finite straight line continuously in a straight line.

To describe a circle with any center and distance.

That all right angles are equal to one another.

That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are less that two right angles.*

Answer:

2, 3, 5, 7, 11, 13, 17, 19 and 23,

Step-by-step explanation:

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19 and 23,

1) The square root of 8 is the least, since 3^2 equals 9, and 8 is less than 9, so its the least.

2) Then the cube root of 27, because 3 cubed is equal to 27

3) Finally, pi is the largest since it equals 3.142.

Good luck with your grades.

root 8 < pi < cube root 27

Answer:

a. –4(5x) = 12; OPEN

b. 4 x 6 = 24; TRUE

c. a + 4 = 6, when a = 2; TRUE

d. 4x = 19, when x equals 5; FALSE

Step-by-step explanation:

a. –4(5x) = 12 [-20x = 12 {Divide -20 from both sides} x = -0.6 So, if x is = -0.6, then it is true, so OPEN.

b. 4 x 6 = 24 [4 x 6 = 24 so TRUE]

c. a + 4 = 6, when a = 2. (Plug 2 in for a) 2 + 4 = 6; 6 = 6; TRUE

d. 4x = 19, when x equals 5. (Plug 5 in for x) 4(5) = 19; 20 is not = 19; FALSE

Complete Question

You are measuring walnuts for banana-walnut oatmeal and a spinach and walnut salad. You need 3/4 cup of walnuts for the oatmeal and 7/8 cup of walnuts for the salad. You have a 1/8 -cup scoop. Complete the descriptions of two different ways to find how many scoops of walnuts you will need. Enter all non-whole number answers as mixed numbers in simplest form.

Answer:

13 scoops

Step-by-step explanation:

Description 1

Step 1

3/4 cup of walnuts for the oatmeal

7/8 cup of walnuts for the salad

Total cups of walnuts needed for both salad and oatmeal =

3/4 cups + 7/8 cups

(3/4 + 7/8)

(6 + 7/8)

= 13/8 cups of walnuts

= 1 5/8 cups of walnuts

Step 2

You have a 1/8 -cup scoop

The number of cup scoops of walnuts need is calculated as

1 5/8 cups ÷ 1/8 cup scoop

= 13/8 ÷ 1/8

= 13/8 × 8/1

= 13 scoops

Therefore, 13 scoops of walnuts is needed.

Description 2

3/4 cup of walnuts for the oatmeal

7/8 cup of walnuts for the salad

1/8 cup scoop

Therefore,

(3/4 + 7/8) ÷ 1/8

=(13/8) ÷ 1/8

= 13 scoops of walnuts are needed

Answer:

y=0

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=0

Answer:

Slope:-1/4 y-int: 3

Step-by-step explanation:

You can you the formula y1-y2/x1-x1 or you can look at it and find out if that makes sense

Answer:

Total distance = 5.754 km

Step-by-step explanation:

Red lines of the right triangle show the layout of the race course.

Total length of the race course = Perimeter of the triangle

Perimeter of the triangle = Sum of the measures of all three sides

                                         = 1.83 + 1.524 + 2.4

                                         = 5.754 km

Therefore, total distance of the race course is 5.754 km.

Answer:

5.754

Step-by-step explanation:

Answer:

The distance between the two points is [tex]\sqrt{85}[/tex] units

Step-by-step explanation:

Let us revise the rule of the distance between two point [tex](x_{1},y_{1})[/tex] and  [tex](x_{2},y_{2})[/tex]

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

∵ We need to find the distance between the two points (8, -7) and (1, -1)

→ Let [tex]x_{1}[/tex] = 8 and [tex]x_{2}[/tex] = 1

→ Let [tex]y_{1}[/tex] = -7 and [tex]y_{2}[/tex] = -1

→ Substitute their values in the rule above

∴ [tex]d=\sqrt{(1-8)^{2}+(-1--7)^{2}}[/tex]

∴ [tex]d=\sqrt{(-7)^{2}+(-1+7)^{2}}[/tex]

∴ [tex]d=\sqrt{49+36}[/tex]

∴ [tex]d=\sqrt{85}[/tex]

→ Simplify the radical

∵ 85 = 5 × 17

→ Both of them are prime numbers

∴ The simplest form of [tex]\sqrt{85}[/tex] is [tex]\sqrt{85}[/tex]

∴ The distance between the two points is [tex]\sqrt{85}[/tex] units

Answer:

You have to find out how much of the circle the sector is

Step-by-step explanation:

[tex]\frac{\pi R^{2}}{\frac{P}{360}}[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Let absolute variation in the wait time at the bus stop = v

Variation = ±3 minutes

Average bus run through the city = 15 minutes

Hence, the minimum and maximum run values due to the variation can be modeled as:

|variation - average run| = ±3

|v - 15| = ±3

minimum : v = - 3 +. 15 = 12 minutes

Maximum : v = 3 + 15 = 18 minutes

Answer:

Step-by-step explanation:

│x - 3│= 15

This is the answer hope this help