Mathematics High School

## Answers

**Answer 1**

Answer:

3

Step-by-step explanation:

Solve for m.

3x + 4 = mx + 4 subtract 4 from each side

3x + 4 - 4 = mx + 4 - 4 the 4’s on both sides will cancel

3x = mx divide each side by x

3x/x = mx/x The x cancels and you’re left with

3 = m

If m = 3 then

3x + 4 = mx + 4 will become

3x + 4 = 3x + 4 subtract 4 from each side

3x + 4 - 4 = 3x + 4 - 4 the 4’s on both sides will cancel

3x = 3x divide each side by 3

3x/3 = 3x/3 The 3s cancel and you’re left with

x = x

So for any value of x, positive or negative, they will equal each other. Therefore there are an infinite number of solutions when m = 3

## Related Questions

Using the expression 10xy + 6, what are the

variables?

Pleasee huryyy!!

### Answers

**Answer:xy**

**Step-by-step explanation:**

A woman wants to send a framed photograph of her family to her parents. The frame is 9 in long and 7 in wide. Will the frame lay flat in a box that has a square base, height 6 in., and volume 546 in.³ ?

### Answers

**Step-by-step explanation:**

V=l*b*h , it's square, so l=b

V=l*h

l=V/h

l=546/6

l=91 in

So, if length of base is 91 in, the frame will be easily lay flat

Hey! This is my first question! The equation is relatively simple but something makes me not understand it. Your help would be greatly appreciated. :)

### Answers

Answer:101°

Step-by-step explanation:

79 + 101=180

**Answer:**

101 = LHK

**Step-by-step explanation:**

GHK = GHL + LHK

GHK is a straight line so it equals 180

180 = 79+ LHK

Subtract 79 from each side

180-79 = 79-79+ LHK

101 = LHK

I am somewhat confused on how to do this, can someone explain? thanks!

### Answers

Answer:

(3x-1)×2=12-x

Step-by-step explanation:

AC = 3x - 1

AD = 12 - x

AD = AC + CD

After putting the values given above,

12 - x = 3x - 1 + CD

12 - x - 3x + 1 = CD

13 - 4x = CD

If C is the midpoint of AD then

AC = CD

3x - 1 = -4x + 13

3x + 4x = 13 + 1

7x = 14

X = 14 / 7

X = 2

CD = - 4x + 13

CD = - 4(2) + 13

CD = - 8 + 13

CD = 5

1. & 2. In the diagram below, points A, B, and C are collinear. Answer each of the following questions. The figure shown below is not drawn to scale, meaning you cannot determine your answers by using your ruler.

### Answers

Answer:

a. 8 in

b. 9¾ in

Step-by-step explanation:

a. Given:

AC = 5 in

CB = 3 in

Since points A, C and P are collinear, therefore,

AC + CB = AB (segment addition postulate)

5 + 3 = AB (substitution)

8 = AB

AB = 8 in

b. Given:

AC = 6¼ in

CB = 3½ in

AC + CB = AB (segment addition postulate)

6¼ + 3½ = AB (substitution)

9¾ = AB

AB = 9¾ in

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of

$47.65. If Hugh bought 3 magazines, how many books did he buy?

The equation that models the problem is 3.95m + 8.95b = 47.65, where m is the number of magazines and b is the

number of books?

### Answers

**Answer:**

**Step-by-step explanation:**

The equation is 3.95m + 8.95b = 47.95 where m is the amount of magazines bought and b is the amount of books bought. 47.95 is the total spent. We know that he bought 3 magazines, so we can switch m with 3. 3.95 multiplied by 3 is 11.85. The equation is now 11.85 + 8.95b = 47.65. Subtract 11.85 from both sides to get b by itself. 8.95b = 35.8. Divide both sides by 8.95 to get b by itself. b = 4

Hugh bought 4 books.

I hope this helped!

Answer:

m=3 b=4

**Step-by-step explanation:**

3.95 x 3 = 11.85

47.65 - 11.85 = 35.8

35.8 ÷ 8.95 = 4

m=3 b=4

Are these inverses of one another?

Yes

No

No way to tell

### Answers

It should be (Yes) because the graph is really cleanse that it is inverses of one another.

PLEASE PLEASE HELP ME WITH THIS!!

### Answers

**Answer:**

A

**Step-by-step explanation:**

The square root of 5/3 is irrational because it cannot be expressed as the ratio of two integers (which is the definition of irrational numbers). If you were to put this into a calculator the answer would go on forever and never repeat, similar to pi, a famous irrational number.

8. The endpoints of ST are $(-3, 2) and T(5,8). Find the coordinates of

the midpoint of ST. Then find ST.

### Answers

**Answer:**

**Option (A)**

**Step-by-step explanation:**

If the extreme ends of a segment are [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex],

Coordinates of the mid-point will be = [tex][\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}][/tex]

And the length of the segment is = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of the extreme ends of the ST are S(-3, 2) and T(5, 8).

Therefore, coordinates of the midpoint of ST will be = [tex](\frac{-3+5}{2},\frac{2+8}{2})[/tex]

= [tex](1,5)[/tex]

Length of ST = [tex]\sqrt{(5+3)^2+(8-2)^2}[/tex]

= [tex]\sqrt{64+36}[/tex]

= 10 units

**Option (A) will be the answer.**

how much is it 320,000×_=32,000,000

### Answers

**Answer:**

100.

**Step-by-step explanation:**

320,000×**100**=32,000,000

100

since 32,000,000 is two place values greater than 320,000

so

320,000 * 100 = 32,000,000

Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers abou the same amount each week. During a 3- week period she volunteers for 6 3/4 hours. Autumn wants to compare her volunteers rate with the challenge rate

### Answers

**Given :**

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

**To Find :**

The comparison ( ratio ) her volunteers rate with the challenge rate .

**Solution :**

Simplifying challenge rate in in normal fraction , [tex]1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}[/tex] .

Also , simplifying her rate , [tex]6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}[/tex] .

Now , ratio of his work by challenge is :

[tex]R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}[/tex]

Therefore , the ratio is 9/2 or 4 1/2 .

Hence , this is the required solution .

Autumn **volunteered **3/4 **hours **per **week **more than the least hours per week of volunteering.

Given that,

Autumn school holding a valeting challenge. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volunteers about the same amount each week. During a 3- week period she volunteers for 6 3/4 hours.

What is the rate of change?

**Rate **of **change **is defined as the **change **in **value **with respect to **time **is called rate of change.

Here,

Autumn wants to compare her volunteer rate with the challenge rate,

So

Extra hours of volunteering = 6 3/4 - 3 [ 1 1/2] = 2 1/4

Rate of volunteering per week = [2 1 / 4] / 3 = 3 / 4

Thus, Autumn **volunteered **3/4 **hours **per **week **more than the least hours per week of volunteering.

Learn more about the **rate **of **change **here:

https://brainly.com/question/13103052

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Find the value of ‘x’ for each of the following

7. X=

8.X=

9.X=

10.x=

### Answers

**Answer:**

7. x=9

8. x=12

9. x=[tex]\sqrt{85}[/tex]

10. x=[tex]\sqrt{45}[/tex]

i will give brainliest!!

### Answers

**Answer:**

[tex] \huge{ \boxed{ \sf{70}}}[/tex]

**Step-by-step explanation:**

[tex] \underline{ \sf{Given}} : [/tex]

[tex] \sf{ \angle \:FGJ \: = \: 30° \:, } \: \: \angle \: JGH \: = \: 40° \: , \: \angle \: FGH= x[/tex]

Finding the value of x°

[tex] \sf{ \angle \: FGH= \angle \: FGJ \: + \: \angle \: JGH\:}[/tex]

Plug the values

[tex] \mapsto{ \sf{x = 40 + 30}}[/tex]

Add the numbers

[tex] \mapsto{ \sf{x = 70}}[/tex]

The value of x° is **7****0****°**

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

You are building a shelf that fits in a corner. In the figure, the entire shelf is △LMN. Each unit in the coordinate plane represents one inch.

Find the area A of the shelf.

A= __ in.2

### Answers

Answer: 50in'2

Step-by-step explanation:

First you would do: |25-(5)| since they share the same x value. Which would be 20

Next: |5-10|= 5, since N and M share the same y value

Lastly you would plug in those values to find the area of a triangle: 5*20*1/2= 50 in

Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions?

### Answers

**Answer:**

6

**Step-by-step explanation:**

3( 4x - 6)

Let x =2

3( 4*2 -6)

3(8-6)

3*2

6

Check

12x-18

12*2 -18

24-18

6

Both equal 6

The value of each expression is 6.

Explanation: right on edg.

(Sin4x+2Sin3x+Sin2x)/

Sinx=

2Sin3xCotx/2

### Answers

**Answer:**

Consider the given equation.

4sinxsin2xsin4x=sin3x

2(2sin2xsinx)sin4x=sin3x

We know that

2sinAsinB=cos(A−B)−cos(A+B)

Therefore,

2[cos(2x−x)−cos(2x+x)]sin4x=sin3x

2[cosx−cos3x]sin4x=sin3x

2sin4xcosx−2sin4xcos3x=sin3x

We know that

2sinAcosB=sin(A+B)+sin(A−B)

Therefore,

sin(4x+x)+sin(4x−x)−[sin(4x+3x)+sin(4x−3x)]=sin3x

sin(5x)+sin(3x)−[sin(7x)+sin(x)]=sin3x

sin(5x)−sin(7x)=sin(x)

We know that

sinC−sinD=2cos(

2

C+D

)sin(

2

C−D

)

Therefore,

2cos(

2

5x+7x

)sin(

2

5x−7x

)=sinx

2cos(

2

12x

)sin(

2

−2x

)=sinx

2cos(6x)sin(−x)=sinx

−2cos(6x)sin(x)=sinx

cos6x=−

2

1

6x=2nπ±

3

2π

x=

3

nπ

±

9

π

Hence, the value is

3

nπ

±

9

π

.

sorry mate don't know the answer

Factor the equation.

x^2 + 7x = 3x + 12

### Answers

**Answer:**

3489.9583

**Step-by-step explanation:**

but htts its s

The sum of two numbers is 12

and their product is 32.

What are the two numbers ?

### Answers

**Answer:**

8 and 4

**Step-by-step explanation:**

8 x 4= 32

8+4 = 12

What is the slope of the line shown?

A : slope = -1/3

B : slope = 8

C : slope = 3

D : slope -3

### Answers

Answer is D slope -3

Yes the answer is d -3

a proportional relationship can be shown in two different ways:

### Answers

What are u asking ? I’m don’t get it

V=1/3nr^2h ; solve for r

### Answers

Answer: r=3v/2nh

Step-by-step explanation:

please help its due today!!!

### Answers

**Answer:**

line a and b are perpendicular as well as c and b

i think if not then none of them are because its hard to tell since they are sideways

**Step-by-step explanation:**

Help me with segment addition postulate

### Answers

**Answer:the answer is 15**

Which expression represents the phrase? "The product of 5 and 6 reduced by t." A) 5 – 6t B) 5(6 – t) C) 5(6 + t) D) 5 + 6t

### Answers

**Answer:**

B. 5(6-t)

**Step-by-step explanation:**

5(6-t)

means that 5*6 reduced by t

Hi guys my little brother needs help to Do his homework And I’m doing mine so I can’t help him can anyone help plzz

### Answers

The answer is 91.77

22.89 x 2 =45.78

45.78 + 45.99 = 91.77

Help please!!!!!!!!!!!!!!!!!!!!!!!!

### Answers

i think its B not sure tho sorry

What is the next number in the following pattern?

4,- 6, 8,- 10, 12, ...

### Answers

**Answer:**

-14

**Step-by-step explanation:**

im not really sure

**Answer: -14**

**Step-by-step explanation: its basically counting by 2, but going from positive to negative**

: 9(p + 2) = 3(3p – 5)

Find the inequality with its graph

### Answers

**Answer:**

NKKNKND FG

**Step-by-step explanation:**

Which list correctly orders A, B, and c from lеаѕt tо greatest whеn A = -8, B = |-6| and c = |11|

А. В. С

С. А. В

В, А, С

С, В, А

### Answers

**Answer:**

Correct order: C, B, A

The last answer : )

**Step-by-step explanation:**

A = -8

B = -6

C = 11

Correct order: C, B, A

The last answer : )

*Hope this helps!! : )*

The **order **of the expressions from **least to greatest **is A, B, C

How to order the numbers?

The **equation **of the numbers are given as:

A = -8, B = |-6| and c = |11|

Evaluate the **absolute value **expressions

A = -8, B = 6 and c = 11

**Order **the expressions from least to greatest

A = -8, B = 6 and c = 11

Hence, the **order **of the expressions from **least to greatest **is A, B, C

Read more about **order** at:

https://brainly.com/question/1094377

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Consider the line MU for M(-1, 1) and U(4, 5).

what’s the distance from M to U ?

### Answers

**Answer:**

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{41} \: \: units}}}}}[/tex]

**Step-by-step explanation:**

Let M ( -1 , 1 ) be ( x₁ , y₁ ) and U ( 4 , 5 ) be ( x₂ , y₂ )

**Finding**** ****the**** ****distance**** ****from ****M**** ****to**** ****U**** **

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(4 - ( - 1))}^{2} + {(5 - 1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(4 + 1)}^{2} + {(5 - 1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(5)}^{2} + {(4)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{25 + 16}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{41} }}[/tex] units

The distance from M to U is [tex] \sf{ \sqrt{41} \: \: units}[/tex]

Hope I helped!

Best regards! :D

**Answer:**

The answer is

[tex]\sqrt{41} \: \: or \: \: 6.403 \: \: \: units[/tex]

**Step-by-step explanation:**

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M(-1, 1) and U(4, 5)

The distance from M to U is

[tex] |MU| = \sqrt{ ({ - 1 - 4})^{2} + ( {1 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 4})^{2} } \\ = \sqrt{25 + 16} [/tex]

We have the final answer as

[tex] \sqrt{41} \: \: or \: \: 6.403 \: \: \: units[/tex]

Hope this helps you