7. Solve 3(a+3)-6=21. Write a reason for each step.
Given
3(a+3)-6=21
3a+9-6=21
3a +3=21
3a = 18
a=6
Simplify.
[2]
Division Property of Equality
c.
a. [1] Simplify
[2] Addition Property of Equality
b. [1] Distribution Property
[2] Subtraction Property of Equality
[1] Simplify
[2] Subtraction Property of Equality
[1] Distribution Property
[2] Addition Property of Equality
d.

Answer:

y=-2x+5

Step-by-step explanation:

thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!

Answer:

The first side is 11.5cm, the second is 11.5cm×2 = 23cm, the third is 11.5cm × 3 = 34.5cm,

and the fourth side is 11.5cm × 6 = 69cm.

Step-by-step explanation:

A quadrilateral is a 4 sided shape, while perimeter is the addition of all the sides of the quadrilateral. Since the sides of the quadrilateral is not stade, assume the sides of the quadrilateral is x, therefore 1:2:3:6 = x:2x:3x:6x. The total ratio is x+2x+3x+6x=12x, therefore 12x= 138 , x = 11.5cm, Therefore the first side is 11.5cm, the second is 11.5cm×2 = 23cm, the third is 11.5cm × 3 = 34.5cm, and the fourth is 11.5cm × 6 = 69cm.

Answer: yes

Step-by-step explanation:

Answer:

s = 4

Step-by-step explanation:

The equation for the line of best fit for the data is p=25s+40.

Where p is no. of points and s is no. fo strikes

We need to find the number of strikes made by a bowler with 140 points.

Put p = 140

p=25s+40

140 = 25s+40

Subtract 40 to both sides,

140-40 = 25s+40-40

100 = 25s

⇒ s = 4

So, there are 4 strikes made by a bowler with 140 points.

Answer:

y = 45      x = 120

Step-by-step explanation:

90 - 15 = 75

45 + 75 = 120

Answer:

The ribbon cost is $77

Step-by-step explanation:

Firstly, we need to get the 3rd side of the triangle

This represents the hypotenuse since we have 2 legs, we need the side connecting the legs

To get this, we use Pythagoras’ theorem

This states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

Thus;

x^2 = 56^2 + 33^2

x^2 = 3136 + 1089

x^2 = 4225

x = square root of 4225

x = 65 feet

So the length of all the sides will be;

56 + 33 + 65 = 154 feet

So the cost of the ribbon will be;

154 feet. * 0.5

= $77

Answer: Note the location of Point C’, the image of Point C after a 90-degree rotation. And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotatio.

Hope it helps

The new coordinates after rotation will be (-7, 6).

A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.

We have to given that;

A Point on a xy - plane as (6, 7) which is rotated by 90° counter clockwise about the origin.

Now, According to the question, we have;

A point with coordinates = (6, 7)

We know that, Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).

Hence, By Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be;

⇒ (-7, 6).

Hence, The new coordinates = (-7, 6).

Learn more about the Rotation of points visit;

brainly.com/question/18099572

#SPJ2

Answer:

The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2) ⇒ D

Step-by-step explanation:

Let us use this rule to solve the question

The slope of the line is [tex]-\frac{1}{2}[/tex] and the line contains the point (-5, 2)

We want to find which equation has the same slope and contains the point

A.

∵ x + 2y = 1

∴ a = 1 and b = 2

→ Use the rule above to find m

∴ m = [tex]\frac{-1}{2}[/tex]

∴ The line has the same slope

→ Let us find if the line contains the point (-5, 2), by substituting x by -5

   and y by 2 in the left side of the equation if the answer equals

   the right side, then the line contains it

∵ L.S = -5 + 2(2) = -5 + 4 = -1

∵ R.S = 1

∴ L.S ≠ R.S

∴ The line does not contain the point (-5, 2)

B.

∵ x - 2y = -1

∴ a = 1 and b = -2

→ Use the rule above to find m

∴ m = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

∴ The line does not have the same slope

C.

∵ x - 2y = 1

∴ a = 1 and b = -2

→ Use the rule above to find m

∴ m = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

∴ The line does not have the same slope

D.

∵ x + 2y = -1

∴ a = 1 and b = 2

→ Use the rule above to find m

∴ m = [tex]\frac{-1}{2}[/tex]

∴ The line has the same slope

→ Substitute x by -5 and y by 2 in the left side

∵ L.S = -5 + 2(2) = -5 + 4 = -1

∵ R.S = -1

∴ L.S = R.S

∴ The line contains the point (-5, 2)

The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2)

By the remainder theorem,

p(a) = 3a³ + a² + 5a = -7

so that

3a³ + a² + 5a + 7 = 0

Since you know a is an integer, you can try to factorize this, or use the rational root theorem to generate a list of potential rational roots, and from there you'd select the integer roots. The rational ones are of the form m/n, where m divides the constant term 7 and n divides the leading coefficient 3. They are

a = ± 1 or ± 1/3 or ± 7 or ±7/3

so there are 4 integer candidates,

a = -1 or 1 or -7 or 7

Check the value of f(a) = 3a³ + a² + 5a + 7 at each of these:

a = -1   →   f(a) = 0

a = 1   →   f(a) = 16

a = -7   →   f(a) = -1008

a = 7   →   f(a) = 1120

and only a = -1 is a root of 3a³ + a² + 5a + 7, so that's your answer. In fact,

3a³ + a² + 5a + 7 = (a + 1) (3a² - 2a + 7)

Answer:

[tex]\angle D= 162\\\\\angle E = 18\\\\\angle F = 162\\\\\angle G = 18[/tex]

Step-by-step explanation:

By properties of parallelograms we know that opposite are the same so we have

[tex]12x=4(x+3)\\\\4(3x)=4(x+3)\\\\3x=x+3\\\\2x=3\\\\x=\frac{3}{2}[/tex]

so for the angles we have

[tex]\angle G=\angle E=12(\frac{3}{2})=18\\\\\angle D=\angle F = 180-\angle G=180-18=162[/tex]

Answer:

0 > -9

Step-by-step explanation:

8 > -1

-8   -8

0 > -9

Answer:

Answer is 159

Step-by-step explanation:

Use PEMDAS

First, solve paranthesis

10² + 8² - 5

Then from left to right, solve the exponents

100 + 8² - 5

100 + 64 - 5

Then, add

164 - 5

Subtract

159

Answer:

=159

Step-by-step explanation:

10^2 + (3+5)^2 - 5

10^2 = 10 x 10 = 100

100+ (3+5) (3+5) - 5

100+(8)(8)-5

100+64-5

164-5

=159

Hope this helps! :)

Answer:

Check box 4 and 5

Step-by-step explanation:

We know there can only be up to 2 solutions for a quadratic equation.

5x^2-2x-9=0 is your equation, make sure to move that 1 to the left

Now we can use the quadratic formula

a=5

b= -2

c= -9

x= −1.15647

x=1.55647

Thus I would select the last 2 boxes. Both of them are solutions.

Answer: 1) -5.8

Step-by-step explanation:

in order to solve the problem you have to put it together:

9x-5 = 14x+24

then go from there : subtract 24 on both sides , then subtract 9x on both sides , that’ll leave you with : -29 = 5x

so from there we divide , giving us x= -5.8

Answer:

4.4

Step-by-step explanation:

4.4

Answer:

I think the answer is B) 4.7

Step-by-step explanation:

just to let you know I maybe wrong.

Answer:

The answer is "Option a".

Step-by-step explanation:

In the question, the answer is 7.5% straight on all revenue because the commission would be a charge the corporation pays to something like a sales representative to help or achieve a sale in return for their services.

Answer:

a.

Step-by-step explanation:

Answer:

True because it is true thank U

Answer:

x = [tex]\frac{9}{4}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{4}{x-3} + \frac{2}{x-2} = \frac{6}{x}[/tex]

Finding L.C.M. of (x - 3) and (x - 2)

[tex]\frac{4(x-2) + 2(x-3) }{(x-3)(x-2)} = \frac{6}{x}[/tex]

[tex]\frac{(4x-8) + (2x-6)}{x^{2} - 3x-2x+6}=\frac{6}{x}[/tex]

[tex]\frac{4x-8 +2x-6}{x^{2} -5x +6} = \frac{6}{x}[/tex]

[tex]\frac{6x-14}{x^{2} -5x+6}= \frac{6}{x}[/tex]

Cross multiplying:

x (6x - 14) = 6 (x² - 5x +6)

6x² - 14x = 6x² - 30x + 36

Cancelling 6x² from both the sides:

- 14x = - 30x + 36

30x - 14x = 36

16x = 36

x = [tex]\frac{36}{16}[/tex]

∴ x = [tex]\frac{9}{4}[/tex] or 2.5

C

Step-by-step explanation:

Graphs are simple I would know trust me man

The approximate unit price for the juice is about $0.50

Step-by-step explanation:

To find the unit price of an item, you must divide the price ($1.35) by how many units the item has (64 ounces). So 64 divided by 1.35 would be 47, or 50 since it's asking for the approximate unit price. Convert it and you have your answer. $0.50. Hope this helps :) I apologize if it's not completely correct

Answer:we can solve the problem by setting a simple proportion.

We know that 22 pancakes can feed 8 people, so we have to find the number x which corresponds to the number of people that can be feeded with 55 pancakes:

Solving the proportion, we find

So, 55 pancakes can feed 20 people.

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

u need help

Answer:

$24.95X.095=$2.37

Answer:

Step-by-step explanation: 3.27

Answer:

50 50 ?

Step-by-step explanation: