Combine like terms: 12b+15+7b-8+7x=

Answer:

5x-2y=7

Step-by-step explanation:

Here's a tip: The subtraction symbol in the equation indicates that the line on the graph is slanted to the right; /

And an addition symbol in an equation like this indicates that the line on the graph is slanted to the left; \

This tip will make better sense with simple equations like the ones in the picture or y = mx+b equations.

Answer:

5x-2y=7

Step-by-step explanation:

5x-2y=7

when x=0,then -2y=7,  y=-7/2

when y=0,  5x=7, x=7/5

Answer:

the third 1 ( his car is slowing down)

Answer:

X=4

Step-by-step explanation:

First let's translate these words algebraically and form an equation:

Let oranges be x and apples be y, [tex]2.29x+1.69y[/tex]

a. coefficients are the constants multiplied by the variable, they represent the price of both oranges and apples.

b. I am assuming that the terms here represent how much he paid for the pounds of oranges and apples he bought in total.

Answer:

13

Step-by-step explanation:

[tex](4, 6) = (x _1 , y_1) \\ (3, -7) = (x_2 \: y_2) \\ \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]

Plug in the given values

[tex]d = \sqrt{(3 - 4)^{2} + ( - 7 - 6)^{2} } \\ d = \sqrt{( - 1)^{2} + {( - 13)}^{2} } \\ d = \sqrt{1 + 169} \\ d = \sqrt{170} = 13.0[/tex]

Answer:

11 cm, 11 cm

Step-by-step explanation:

Let the length and width of the rectangle be x cm and y cm respectively.

Therefore,

Perimeter of rectangle = 44 cm

2(x + y) = 44

x + y = 44/2

x + y = 22...... (1)

Area of rectangle = xy

When length is increased by 4 cm and breadth is increased by 2 cm.

New length = (x + 4) cm

New width = (y + 2) cm

New area of rectangle = original area + 72.. (given)

Therefore,

(x + 4) (y + 2) = xy + 72

xy + 2x + 4y + 8 = xy + 72

2x + 4y = 72 - 8

2x + 4y = 66

2(x + 2y) = 66

x + 2y = 66/2

x + 2y = 33.... (2)

Subtracting equation (1) from equation (2)

x + 2y - (x + y) = 33 - 22

x + 2y - x - y = 11

y = 11

Substituting y = 11 in equation (1)

x + 11 = 22

x = 22 - 11

x = 11

Thus, the dimensions of the rectangle are 11 cm and 11 cm.

If you meant to say (3x+2)^2, then the answer is 9x^2+12x+4

=============================================

Explanation:

You would use the FOIL rule to get

(3x+2)^2

(3x+2)(3x+2)

(3x)*(3x) + (3x)(2) + 2(3x) + 2*2

9x^2 + 6x + 6x + 4

9x^2 + 12x + 4

The answer would be -fg  But, I'm not so sure about the graph so sorry!

Answer:

It would be exactly 99.4194 mph

Step-by-step explanation:

For an for an approximate result, divide the kilometer speed value by 1.609

Answer:

100miles/hour

Step-by-step explanation:

1mile = 1.6km

Answer:

Mary has £20 and Tom has £16

Step-by-step explanation:

Represent their current respective money amounts by m and t.

Then m + t = £36, but also m/2 + 2t = £42.

Multiplying the second equation by 2 removes the fraction:

m + 4t = £84

and multiplying this by -1 results in

-m - 4t = -£84, which can now be added to the first equation m + t = £36:

-m - 4t = -£84

+m +  t  = £36

---------------------

       -3t =  -£48

We have successfully eliminated m.  To solve this last result for t, divide both sides by -3, obtaining t = £16

Since m + t  = £36 and t = £16, m must be £20.

Mary has £20 and Tom has £16

Answer:88%

Step-by-step explanation:

Percent means out of hundred. If you try to find what percentage something is out of a larger number, you multiply the fraction by 100%.

Our fraction in this case is 44/50.

(44/50) × 100% simplifies to (using a common factor of 2) (22/25) × 100% (2 goes into 44 twenty-two times, and into 50 twenty-five times). 100 and 25 share a common factor of 25, so this fraction can further be simplified to (22/1) × 4% (25 goes into itself once, and into 100 four times). 22/1 is the same as 22. 22 × 4% = 88%. And that's your answer.

Answer:

A. x>-3

Step-by-step explanation:

You just have to divide -12 by 4 and the sign does not flip because 4 is not negative

Greetings from Brasil...

Here is the graphical explanation in the annex.

A = (-4; 3)

B = (3; 2)

(segment BLUE)

After reflection on F(X) we will get the segment GREEN

note that the length M = M and N = N

negative twenty-four over three equals negative eight.

Answer:

Step-by-step explanation:

A conclusion is 2-3 closing sentences to wrap up your essay.  You should start with a transition word, like "To conclude," and then state your controlling idea.  Or, the reason why you are writing this essay.  Then, you need to end with a closing sentence, which is pretty hard to do.  This can be a question or a statement.  If you pick a question, then you need to say something like this:

Why do you think masks and social distancing are effective during these hard times?

If you pick a statement, then it needs to end something like this:

I wonder....

Now, I am going to let you figure this out, because people should learn.  Good luck and I hope this helps!

Answer:

22 minutes

Step-by-step explanation:

The number of minutes and number of people are inversely proportional but the number of people, minutes painted and walls painted are directly proportional. Therefore, it takes 10 people 22 / 10 = 2.2 minutes to paint 1 wall and 2.2 * 14 = 30.8 minutes to paint 14 walls. To find the time it takes 14 people to paint 14 walls, we can set up the following equation:

14 * x = 30.8 * 10 (where x is our answer)

x = 30.8 * 10 / 14 = 22 minutes

Additionally, an easier way to do this is to recognize that 1 person paints 1 wall when 10 people paint 10 walls in 22 minutes so as long as the number of people and walls are the same, it will always take 22 minutes.

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{4}{5}[/tex] , thus

y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = [tex]\frac{4}{5}[/tex] x + 2 ← equation of line in slope- intercept form

Step-by-step explanation:

The mean is the average.

(8.3 + 6.8 + 9.4) / 3

≈ 8.2

Answer:

Solution : 600 gallons

Step-by-step explanation:

Let's say that x is the gallons of 90% antifreeze solution. Let's start by converting each percent to decimal form.

90% = 0.9

20% = 0.2

80% = 0.8

Knowing that we have the following set up,

0.9(x) + 0.2(100) = 0.8(x + 100) ⇒ 0.8 is associated with " x + 100 " as it is a mixture of the gallons of the 90% antifreeze solution, and the gallons of the 20% antifreeze solution

We can solve for x in this equation, and receive our solution. This is represented by the following attachment. It proves that there are 600 gallons of the 90% antifreeze solution.

Answer:

C) -38

Step-by-step explanation:

[tex]-5=y-7/9\\-5+7/9=y-7/9+7/9\\-38/9=y[/tex]

I guess closest answer is C

Answer:

x = 12

Step-by-step explanation:

3x - 13 = 23

Bring non-variable numbers to other side:

3x = 36

Divide both sides by 3:

x = 12

Answer:

x = 12

Step-by-step explanation:

This equation is very easy to solve.

3x - 13 = 23 Add 13 to both sides of the equation.

3x = 36 Divide by 3 on both sides of the equation.

x = 12

Then, check your answer by substituting the solved value.

3(12) - 13 = 23

36 - 13 = 23

23 = 23

Therefore, x = 12 is the solution to the equation.

Answer:

3x-21

Step-by-step explanation:

3(x-7)  you must do distributive property

3x - 21

Answer:

Use a graphing calculator.

Step-by-step explanation:

Use at least 3 points to graph.

Use a graphing calculator

Answer:

104 degrees

Step-by-step explanation:

90 + 54 + 132 = 276

360 - 276 = 104

Answer:

The quotient of 4 and 9 raised to the power of r.

Step-by-step explanation:

The verbal translation of  [tex]r^{\frac{4}{9} }[/tex]  is r to the power four-tenths.

Given,

[tex]r^{\frac{4}{9} }[/tex]

We have a number r with power 4 / 9.

we need to translate it into verbal form.

If a number is expressed in this form - [tex]A^{B}[/tex]

A = base and B = exponents.

We can say that a number has base A with exponents B.

There are many ways to verbally express a given number.

Example:

3 / 2 = 3 divide by 2.

[tex]6^{2}[/tex] = six to the power two.

3 x ( 3 + 2 ) = three multiplied with the addition of three and two.

7 x [tex]8^{3}[/tex] =  seven multiplied by 8 to the power three.

[tex]3^{\frac{1}{7} }[/tex] = three to the power of one-tenths.

We are given,

     [tex]r^{\frac{4}{9} }[/tex]

We can say that the base is r and the exponent is 4/9.

or

we can also say r to the power four-tenths.

Thus the verbal translation of  [tex]r^{\frac{4}{9} }[/tex]  is r to the power four-tenths.

Learn more about verbal translation here:

https://brainly.com/question/16713965

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Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  2

Answer:

x=2

Step-by-step explanation:

7/8(-32)-7/8(48x)+36=2/3(-33x)-2/3(18)-10x  

= -224/8-336x/8+36

=-66x/3-36/3-10x.  

Simplifying the fractions

-28-42x+36=-22x-12-10x.  

Combining like terms

-42x+8=-32x-12.  

Add 32x to both sides:  

-42x+8+32x=-32x-12+32x

-10x+8=-12.  

Subtract 8 from both sides:  

-10x+8-8=-12-8

-10x=-20.  

Divide both sides by -10:  

-10x/-10 = -20/-10

x=2.