Solve each equation 12x - 51 = 3(x + 7)

Answer: 280 graduates per year

Step-by-step explanation:

the rate of change is the change in y (number of graduates) divided by the change in x (year).

So: [tex]\frac{8.9-7.5}{2010-2005} = 0.28[/tex] because this number is in thousands of graduates, multiply by 1000 to get 0.28*1000=280 graduates per year

Answer:

[tex]\frac{1.4}{5}[/tex]

Step-by-step explanation:

We have the coordinates (2005, 7.5) and (2010, 8.9). To find the rate of change we must use the equation [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] which is [tex]\frac{8.9-7.5}{2010-2005}[/tex]. To simplify that further, we get [tex]\frac{1.4}{5}[/tex] therefore the rate of change is 1.4 over 5.

Answer:

I think the most common color is blue .

Step-by-step explanation:

11. Angle A and B are supplementary (add to 180)

And measure of Angle A is 2x+30 and measure of angle B is 6x-12. All you have to do is make an algebraic expression.

180= (2x+30) + (6x-12)

Then just combine like terms and you get

8x+18=180.. Subtract 18 and you get

8x=162 then divide by 8 and you get

X=20.25

Then plug in the number and you get

180=(2*20.25+30)+(6×20.25-12)

Which is is transferred to

180=(70.5) +(109.5)

Which is 180=180.

The measure of angleA is 70.5°

You can try the other's if you want if not then

9. Value of x is 33.5

10. Measure of angleB 90°

12. Measure of angleA 24°

(im not writing that much again.)

Step-by-step explanation:

The square root of -9 is greater than that

Answer:

2,304in^3

Step-by-step explanation:

The formula for volume is [ b * l * h ]. We can use the values we are given to find the volume of both rectangles then add them both together.

12 * 12 * 6 = 864in^3

18 * 10 * 8 = 1,440in^3

Add them both together.

864 + 1440 = 2,304in^3

Best of Luck!

Answer:

-8 and -6.

Step-by-step explanation:

Let the first even integer be a.

Since the second is a consecutive even integer, it is given by (a + 2).

Half of the smaller (i.e. a) is equal to two more than the larger (i.e. a + 2). In other words:

[tex]\displaystyle \frac{a}{2} = (a + 2) + 2[/tex]

Solve for a:

[tex]\displaystyle \begin{aligned}\displaystyle \frac{a}{2} &= (a + 2) + 2\\ \\ \frac{a}{2} &= a + 4\\ \\ a &= 2a + 8 \\ \\ a &= -8 \end{aligned}[/tex]

In conclusion, the two even, consecutive integers are -8 and -6.

Answer:

Step-by-step explanation:

since GCF(162,108,180)=18

and you have not mentionned it was the maximum of arrangements you want:

[tex]\begin{array}{c|c|c|c}\#arrangement&\#Roses&\#Dahlias&\#Tulips\\-------&-------&-------&-------\\1&162&108&180\\2&81&54&90\\3&54&36&60\\6&27&18&30\\9&18&12&30\\18&9&6&10\\-------&-------&-------&-------\\\end {array}[/tex]

Answer:

x = -1

Step-by-step explanation:

Given: [tex]f(x) = - 3x + 3[/tex]

Solve for x, When: [tex]f(x) = 6[/tex]

Step by step:

[tex] - 3x + 3 = 6[/tex]

[tex] - 3x = 6 - 3[/tex]

[tex] - 3x = 3[/tex]

[tex]x = 3 \div - 3[/tex]

[tex]\boxed{\green{x = - 1}}[/tex]

Answer:

-1

Step-by-step explanation:

Plug in all of the numbers for x. 1 is -5<-5 and -1 is -15<-5

Answer:

0

Step-by-step explanation:

hopefully the picture is visible and understandable.

:)

Answer:

[tex](6x + 7)(8x - {170}^{0} ) \\ 6x + 8 x = - {170}^{0} - 7 \\ 14x = { - 177}^{0} \\ \frac{14x}{14} = \frac{ { - 177}^{0} }{14} \\ x = - 163 [/tex]

Answer:

This is the sum --->  4x^2y + 4xy^2 - 1

Step-by-step explanation:

(3x^2y+4xy^2-2y^3+3) + (x^2y+2y^3-4)

(remove the parenthesis)

= 3x^2y + 4xy^2 - 2y^3 + 3 + x^2y + 2y^3 - 4    

(now, group the like terms)

= -2y^3 + 2y^3 + 4xy^2 + 3x^2y + x^2y + 3 - 4  

(add the elements you think are alike or similar)

= -2y^3 + 2y^3 + 4xy^2 + 4x^2y + 3 - 4              

=  4xy^2 + 4x^2y + 3 - 4  

= 4xy^2 + 4x^2y - 1

Answer:

the sum is  4x^2y + 4xy^2 - 1

Answer:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

Answer:

Answer is 3

Plz give brainiest answer

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

n=4

Step-by-step explanation:

[tex]\sqrt[n]{256} =8^{\frac{1}{3} } *8^{\frac{1}{3} } \\256^{\frac{1}{n} } =(2^{3} )^{\frac{1}{3} } *(2^{3} )^{\frac{1}{3} } \\(2^{8})^{\frac{1}{n} } =2^{3 \times \frac{1}{3} } *2^{3 \times \frac{1}{3} } \\2^{\frac{8}{n} } =2 \times 2\\2^{\frac{8}{n} } =2^{2} \\\frac{8}{n} =2\\n=\frac{8}{2} =4[/tex]

Answer:

11c+12

Step-by-step explanation:

It's just simple addition and subtraction, it just happens to have a variable.

(The question wasn't super clear on if it was just simplification or if you're supposed to solve for c but if it's asking to solve for c I can update the answer if you let me know)

Answer:

Step-by-step explanation:

Base = 8 * 8 = 64 square units

4 (8*6)/2 = 96 square units

64 + 96 = 160 square units

Answer:

671080887.6

Step-by-step explanation:

1 second = 300,000km

3600 seconds = 3600 x 300,000 = 1080000000 km then convert to miles

is 671080887.6

Answer:

[tex]v=s-u+t[/tex]

Step-by-step explanation:

Hi there!

[tex]s=u-t+v[/tex]

Our goal is to isolate v on one side of the equal sign.

Subtract u from both sides:

[tex]s-u=u-t+v-u\\s-u=-t+v[/tex]

Add t to both sides to isolate v:

[tex]s-u+t=-t+v+t\\s-u+t=v\\v=s-u+t[/tex]

I hope this helps!

Answer:

a

Step-by-step explanation:

a rational number is a whole number

Transforming figure A into k requires some methods. Therefore, both reflection and rotation could be applied. Thus both students are right.

Rigid transformation is a method required in resizing or changing the orientation of a given shape. The types are: translation, reflection, rotation and dilation.

Considering figure A and its image k given in the question, transformation has occurred. Reflection is the process of flipping a given figure about a reference line or a point. Thus Kareem is right if A is turned over the line joining A and k.

Secondly, rotation implies turning a given shape through a certain angle to form its image. Thus if figure A is turned clockwise or counterclockwise about the mid point of the line joining A and k, then Amelia is right.

It can be said that both students could be right.

Visit: https://brainly.com/question/16087635

Answer:

19, 20, 21

Step-by-step explanation:

You can trial-and-error this where you test each answer out step-by-step or you can graph it and you'll see it will be a line for x = 21 and a shaded region to the left of that (if you get what I mean) and from there, any point on the line x = 21 or any point in the shaded region, will be a viable solution.

Simplifying,

[tex]-\frac{2}{3}s+13>=-1\\-\frac{2}{3}s>=-14\\\frac{2}{3}s=<14\\s=<21[/tex]

s ≤ 21

Answer:

21 is the solution to solve for x.  22 and 23.

Step-by-step explanation:

-1 - 13 = -14 / -2/3

x = 21

(e) it is the last one........

Answer:

A would be 2

B would be 8

Step-by-step explanation:

It's a little hard to explain, but take the function and put it where the variable is. So, for "A" the equation would be [tex]f(1)=2^1[/tex]

Answer:

90°

Step-by-step explanation:

X=180°-(45°+45°){being square property}

X=180°-90°

X=90°

Answer:

5×(w + 7) = 4

Step-by-step explanation:

w is the unknown number.

5 times something means multiply something 5 times.

a sum means adding things

so, the sum of a number and 7 is

w + 7

5 times that sum is then

5×(w + 7)

and that while thing is (equals) 4

5×(w + 7) = 4

by the way, solving that means

5w + 35 = 4

5w = -31

w = -31/5

Answer:

5(w + 7) = 4

Step-by-step explanation:

Do one part of the sentence at a time until you write the entire sentence as an equation.

"Five times the sum of a number and 7 is 4."

The problem tells us to use w for the number, so we write w below.

w

"Five times the sum of a number and 7 is 4."

Now we move on to the part dealing with the sum of the number and 7. A sum is an addition, so we add 7 to the number w.

w + 7

"Five times the sum of a number and 7 is 4."

Now we take care of the part dealing with product of 5 and the sum.

5(w + 7)

"Five times the sum of a number and 7 is 4."

The last part is dealing with the part "is 4". The word "is" very often means "equals", so the entire expression we wrote is equal to 4.

5(w + 7) = 4

Answer: 5(w + 7) = 4