-14 < 7x < 21
Solve the compound iniquity and graph it’s solution.

The three positive integers are estimated as (6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).

Positive integers are integers that would be on the right side of 0 on a number line. These integers have a value greater than zero.

Now, as per the given question;

Let the three number be a, b and c.

The range of the number are given as 7.

Then,

(0 < a < 7), (0 < b < 7) and (0 < c < 7)

The mean of the number is defined as 4.

Thus,

(a + b + c)/3 = 4

So, (a + b + c) = 12.

Now, apply the Enumeration method;

Case 1: If a = 6 (a < 0), then (b + c) = 6. This, is possible for the set,

Case 2: If a = 5 (a < 7), then (b + c) = 7. This is possible for the set,

Therefore, the given three positive integers could be;

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

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Answer: 108

Step-by-step explanation: The equation to find the surface area of a square pyramid is s^2+2*s*l.

The area of the square base is equal to s2

The area of one triangle is equal to (s × l)/2

The slant height of a square pyramid equals (l)

Since there are 4 triangles, the area is 4 × (s × l)/2 equals 2 × s × l

Therefore, the surface area, call it SA is Surface Area (SA)=  s2

 +  2 × s × l

so if you plug in the numbers you get 6^2+2*6*6 which equals 108

Answer:

The Answer is 108 feet squared.

Square Surface Area-

A= LxW

A= 6x6

A= 36

Triangle Surface Area-

A= 1/2 bh

A= 1/2 6x6

A = 1/2×36

A= 18

Since there are 4 Triangle multiple 18×4= 72

so... 72+36= 108

BOOM!! LOL

Answer:

The line to graph is y=-[tex]\frac{2}{3}[/tex] -1

Step-by-step explanation:

In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).

1. Plug info into point-slope form:

y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)

2. Simplify:

y+5=-[tex]\frac{2}{3}[/tex] x+4

3. Simplify even further:

y=-[tex]\frac{2}{3}[/tex] -1

To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.

Answer: D. Purchase Price = $85,000 & Tax = $2,040

Step-by-step explanation:

From the question, Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500. The constant of proportionality here will be:

= $80500 / $1932

= 41.67

The options that varies directly with the above will be:

A. Purchase Price = $68,000 & Tax = $1,020

Constant of proportionality

= $68000 / $1020 = 66.67

B) Purchase Price = $92,000 & Tax = $2,760

Constant of proportionality:

= $92000 / $2760

= 33.33

C) Purchase Price = $75,000, Tax = $1,350

Constant of proportionality:

= $75000 / $1350

= 55.56

D) Purchase Price = $85,000 & Tax = $2,040

Constant of proportionality:

= 85000 / 2040

= 41.67

Based on the calculation, we can see.that option D has thesame constant of proportionality with the figure calculated.

Answer:

6 days to produce

Step-by-step explanation:

24÷4=6 days

The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.

Since A clothing factory produces 4 boxes of jackets every 3 days.

Here the number of days should be

[tex]= 24\div 4[/tex]

= 6 days

Therefore, The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.

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Answer: it will move down.

Step-by-step explanation:

because of gravity.

Answer:

The last one (8.6x10^-2)

Answer:

B.) 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

x - y = -1

3x + 5y = 21

Step 2: Rewrite Systems

x - y = -1

Step 3: Redefine Systems

x = y - 1

3x + 5y = 21

Step 4: Solve for y

Substitution

Answer:

5 miles=8km

1miles=8/5=1.6km

57.5 miles=(57.5×1.6)km

=92km

Answer:

A. $0.25 per ounce

B. 4 ounces per dollar

Step-by-step explanation:

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.

A) How much does popcorn cost per ounce? The cost per ounce is dollars.

10 ounces of spicy popcorn = $2.50

1 ounce of spicy popcorn = x

Cross Multiply

10 ounces × x = $2.50

x = $2.50/10 ounces

x = $0.25 per ounce

B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.

$2.50 = 10 ounces of spicy popcorn

$1 = x ounce of spicy popcorn

Cross Multiply

$2.50 × x = 10

x = 10/2.50

x = 4 ounces per dollar

C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is

Answer:

Combine like terms

2 + − 4

3x − 4y

Answer:

[tex]3x-4y[/tex]

Step-by-step explanation:

[tex]2x+x-4y[/tex]

If a term doesn't have a coefficient , it is considered that the coefficient is 1

[tex]2x+1x-4y[/tex]

Why is it considered that the coefficient is 1?

Remember that any term multiplied by 1 remains the same:

[tex]1.x=x[/tex]

Step 1

The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:

[tex]x=1 . X \\[/tex]

Step 2

Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:

[tex]x=1x[/tex]

That is why we can write the term without the coefficient as a term with coefficient 1.

Let's go back to your problem now

Collect like terms by adding their coefficients

[tex](2+1)x-4y[/tex]

Add the numbers

[tex]3x-4y[/tex]

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Answer:

12 17/50

Step-by-step explanation:

Divide the numerator and denominator by 2 to get 12 17/50 which is in standard form.

The 17 and 50 can not be simplified anymore so it is in its simpliest form (standard form).

Standard form definition: A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.

Co-prime numbers definition: Co-prime numbers are those numbers that have only one common factor, namely 1.

Hope this helps :)

Answer:

A)6, 2, -2,-6

Step-by-step explanation:

a(n) = a +(n-1)d

a(n) = a +dn-d

a(n) = a-d + dn

a(n) = 10 - 4n

So d=-4

to get a: (a-d)=10

             a=10-4=6

The first four  terms:

a(1) = 6 +(1-1)-4=6

a(2) = 6 +(2-1)-4=2

a(3) = 6 +(3-1)-4=-2

a(4) = 6 +(4-1)-4=-6

it will be A

hope this helps

Answer: -4x-34y-32

(I think this is right but I am not completely sure... if its not I am sorry :/ )

Step-by-step explanation:

First Way:

48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)

48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]

48(-2/24x-17/24y-2/3)

48(-1/12x-17/24y-2/3)

-4x-34y-32

Second Way:

48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)

12x-16y-16x-18y-32

-4x-34y-32

It is reflected over the x-axis and rotated 90 degrees.

Answer:

going on by 2 every

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

but be more especific

Answer:

[tex]m=\frac{8}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, -4)

Point (1, 4)

Step 2: Find slope m

Answer:

What ?

Step-by-step explanation:

Answer:

that will be 40(wire)-12(rope)=28parts

Step-by-step explanation:

6meter wire div by 0.15 eq to 40

3meter rope div 0.25 eq to 12

so we use 40-12=28parts

Answer:c

Step-by-step explanation:

Answer:

11/24

Step-by-step explanation:

Just add 1/3 and 1/8 to get the answer. To add or subtract any pair of fractions they must have the same denominator. To change them, find the least common multiple of the two denominators (3 and 8). The least common multiple of 3 and 8 is 24. Now multiply the denominator by a number that’ll make it into the least common multiple. The 3 in 1/3 should be multiplied by 8 to make it into 24. The 8 in 1/8 should be multiplied by 3 to make into 24. The number that you use to multiply each denominator should also be used to multiply the numerator of that fraction. 1/3 for example, becomes 8/24. 1/8 becomes 3/24. Finally add the numerators of both numbers and keep the same denominator which equals 11/24.

Answer: 4a + 16

Step-by-step explanation:

Answer:

Jenny had 9 incorrect answers.

Step-by-step explanation:

We know that Jenny earned 104 of a possible 140 points on a test.

140 - 104 = 36

We also know that she lost 4 points for every incorrect answer.

36 ÷ 4 = 9

Therefore, Jenny had 9 incorrect answers.

Hope this helps! :D

Answer:

9 questions incorrect

Step-by-step explanation:

Make an Equation

104+x(4)=140

X is for incorrect answers and since each incorrect answer is Worth 4, multiply x by 4. The 104 is the point Jenny orignally got so we put that in the equation to find how many Incorrect she got.

Solve the equation

104+4x=140 Subtract 104 on both sides

4x=36   Divide 4 on both sides

x=9   X=9

Answer:

fing the variable that is what u need

Answer:

7

Step-by-step explanation:

The angles that we are sure about is 33 and 90. The angles of a triangle add up to 180. 33 + 90 = 123. 180 - 123 = 57. 57 = 7x+8, 49 = 7x, x = 7.

Answer:

x = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

33° + 90° + (7x + 8)° = 180°

Step 2: Solve for x

Answer:

A percent is a constant of proportionality describing the part of the whole