Mathematics High School

What is the quotient? 2m+4/8÷m+2/6

Answers

Answer 1
2m + 4        m + 2
_____   ÷   _____
     8                6

Use the same concept that is used when dividing fractions.
Multiply. 

2m + 4              6                  2 (m + 2)              6
_____    ×    _____     ---->     ______    ×    ______
     8               m + 2                     8                m + 2

Cancel out the common factors. Then simplify the product. 

2 (m +2)              6                          2                6                   2 (6)
______    ×    ______     ---->     ____    ×    ____    ---->    ____
      8                m + 2                      8                 1                      8

 2 (6)            12
____    =    ___ 
   8                8

Simplify 12/8 by finding the GCF (greatest common factor) of 12 and 8

GCF of 12 and 8 is 4
12 ÷ 4 = 3
8 ÷ 4 = 2

So your answer is 3/2 which can be written as 1 ½ or 1.5 as a decimal.
Answer 2

Answer:

3/2 (D on Edge)

Related Questions

Martha took 48 pictures of flowers and 36 pictures of beautiful scenery.she wants to display the pictures so there are the same number of each kind of picture in each display.what is the greatest number of displays she can make?

Answers

Well if you have 48 pics of flowers and 36 pictures of scenery and you want an equal amount of pictures of the scenery, you want to start out by just seeing what number divides evenly into both, in this case, it is four.

A vending machine needs to be programmed to accept any combination of coins totaling 0.75, excluding pennies, and half dollars. How many combinations are possible?

Answers

Combination 1: 3 quarters (25 cent).

Combination 2: 2 quarters and 5 nickels.

Combination 3: 2 quarters, 2 dimes, 1 nickel.

Combination 4: 15 nickels

Combination 5: 7 dimes and 1 nickel.

Combination 6: 1 quarter, 5 dimes

Combination 7: 1 quarter, 1 dime, 7 nickels.

Combination 8: 1 quarter, 2 dimes, 6 nickels.

Combination 9: 1 quarter, 3 dimes, 4 nickels.

Combination 10: 1 quarter, 4 dimes, 2 nickels.

I believe those are all the possible combinations.

I hope that helped you! :)

Simplify the expression. (4 − 4i)(−2 + 5i)

Answers

12 + 28i
is your answer
To simplify multiplying binomials, you can use two equations
4(-2+5i) +  -4i(-2+5i)
Simplify -  -8+20i +8i -20i²
-20i² + 28i - 8
Hope this helps- Please mark brainliest :)

If 6 1/2is the lesser number in an inequality, which statement is true about the other number in the inequality?

Answers

Wouldn't it be that the other number is greater and so it would be x> 6 1/2 because it says that 6 1/2 is the lesser number so it can't be greater than and equal to so it has to just be greater than.

I KNOW ITS NOT A. But i think it is B. HOPE THIS HELPS!

Write the polynomial in factored form. 4x3 + 8x2 – 96x

Answers

 4x^3+8x^2-96x = 4x(x-4)(x+6) 

Explanation: 

4x^3, 8x^2 and 96x have 4x as a common factor. Hence 

4x^3+8x^2-96x = 4x*(x^2+2x-24) 

Furthermore, (x^2+2x-24)= (x-4)(x+6) 
because 6-4=2 and 6*(-4) = -24. 
So 4x^3+8x^2-96x = 4x*(x^2+2x-24) = 4x(x-4)(x+6).

find the root of 6x-48=0

Answers

undistribute 6
(6)(-48)=0
set to zero
x-8=0
add 8 to both sides
x=8
the root is at x-8
Find the roots of 6x-48=0 by solving for x.

X=8

Can somebody plz help me

Answers

This type of proof is called a flowchart proof.

A garden table and a bench cost $573 combined. The garden table costs $77 less than the bench. What is the cost of the bench?

Answers

just do 573 minus 77

Because the total cost is $573.00, subtract the cost of the garden table from the total. 

• 573 - 77 = 496

So, the bench costs $496.00.

Hope this helps! :D

~PutarPotato

Please help! I need to show my work

Answers

You can graph the 4 points.
Notice that sides AB and CD are horizontal, so they are parallel with different lengths.
Sides BC and Ad are not parallel.
A quadrilateral with two parallel sides and two non-parallel sides is a trapezoid.

How many permutations are there of jack, queen, king, ace

Answers

  [tex]\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad _4P_1=\cfrac{4!}{(4-1)!}[/tex]

What is the LCM of 5 and 6?

Answers

Answer: 30

Explanation: To find the least common multiple of lcm of 5 and 6, we begin by listing the first few multiples of each number.

Multiples of 5

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

4 x 5 = 20

5 x 5 = 25

6 x 5 = 30

Notice that we skipped 0 x 6 in our list of multiples. That's because 0 x 6 is 0 and our least common multiple can't be 0.

Next we list the multiples of 6. When we list the multiples of 6, it's a good idea to keep an eye on the list of multiples for 6 so that we know when we have found a least common multiple.

Multiples of 6

1 x 6 = 6

2 x 6 = 12

3 x 6 = 18

4 x 6 = 24

5 x 6 = 30

Notice that 30 appears in both lists so we can stop here.

This means that the least common multiple of 5 and 6 is 30.

Answer:

30

Step-by-step explanation:

both 6 and 5 go into 30 :)

Solve for x: the quantity of x plus 4 / 3 = 2.
A.x = −2 B.x = 2 C.x = 2/ 3 D. x = negative 10/ 3

Answers

i meant answer will be C.x=2/3

15. How much less would a 25 year old male pay for a $50,000 policy of 20 y life insurance @ $5.84 per $1000, than a straight life policy @ $15.66 per $1000? (Points : 1)
$783
$491
$292
$415

Answers

The man would pay $491 less for a policy of 20 year life insurance than a straight life policy. So, the answer is the second one.

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Amount for policy = $50,000

If he opt for life insurance @$5.84 per $1000,

then, his amount of premium will be

[tex]50000\times \frac{5.84}{1000}=\$292[/tex]

If he opt for straight policy @ $15.66 per $1000,

then, his amount of premium will be

[tex]50000\times \frac{15.66}{1000}=\$783[/tex]

Difference in both the cases will be

[tex]783-292=\$491[/tex]

Hence, Second option is correct.

What’s the ratio of 42¢ to $1.25? (Change dollars to cents)

Answers

42:125, 42/125 or 42 to 125

Answer:

42 125 becuase i got um right bozzzzzzzz

Step-by-step explanation:

What is the measure of x?
A.36
B.72
C.144
D.360

Answers

i believe your answer would be B)72.

36° The answer is 36° because if you multiply 36 × 2 then you would get 72°.

A web store offers two versions of a popular song. The size of the standard version is 2.5 MB. The size of the high quality is 4.3 MB. Yesterday, there was 1180 downloads of the song, for a total size of 3850 MB. How many downloads of the high quality version were there?

Answers

i believe the answer is   895.348837

Answer:

250

Step-by-step explanation:

Ana wants to paint her dogs doghouse. She has 4 colors: Green, Maroon, Blue and Wheat. One color will cover the walls, and another color will be used for the trim. (For example, green walls with wheat trim = GW.) Which one of these answers show all of the possible color combinations?

A. BW, BM, BG, BB, MW, MB, MG, MM, GW, GB, GM, GG
B. GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB
C. MM, MG, WB, WM, WG, BB, BG, BM, WB, GB, GM, GW

Answers

Let us take this one by one. One color can pair with three colors.

 

Green = Maroon, Blue, Wheat = GM, GB, GW

Maroon = Green, Blue, Wheat = MG, MB, MW

Blue = Green, Maroon, Wheat = BG, BM, BW

Wheat = Green, Maroon, Blue = WG, WM, WB

 

So the combinations are:

 

GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB

 

Which is letter B.

The awnser is b trust I got it right thank you for your time nd day

Is is true that the coefficient of the expression 18z-7(-3+2z) of z is 13

Answers

18z-7(-3+2z) 
= 18z + 21 - 14z
= 4z + 21

answer is False
coefficient of z is 4, not 13

apply the distributive property and the greatest common factor to write an equivalent expression.

32k + 24 = _ (_)

what numbers should be in place of the underscores?

Answers

You need to see what is the highest number that goes into 32 and 24. the only number that works here is 8. 32/8 is 4 and 24/8 is 3. so the solution to your problem is 8(4k+3).

One number is four times another. the greater number is xx. write an expression for the lesser number.

Answers

xx/4=y Y is the lesser number. xx is the greater number. Since xx is four times y, you need to divide xx by four to find y. To find xx, you would need to multiply y times four, and the resulting expression would be 4y=xx.

You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 min. Write a system of linear equations that represents this situation. How long does it take to jog around the park?

Answers

b = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!

Is 9.103 greater than 9.13

Answers

Answer:

false 9.13 is greater

Step-by-step explanation:

103 thousanths are smaller then 13 hundreths

with decimals the farther you go the lower you get bc its half a number

1/2 to 1/4 to  1/8 it gets smaller

64.125 - 20.37 i need the answer

Answers

The answer is 43.755.

Answer:

43.755 what the other person said but I know that is the answer

Step-by-step explanation:

Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
Alexander thought the equivalent quarterly interest rate would be 2%. Is Alexander correct? If he is, explain
why. If he is not correct, state what the equivalent quarterly interest rate is and show how you got your
answer. i need to show my work and everything

Answers

Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
[tex] V_{0} =(1+ i_{a} ) ^{1} [/tex]
Where
[tex] V_{0}[/tex] = initial investment.
[tex] i_{a} [/tex] = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
[tex] V_{0} =(1+ i_{q} ) ^{4} [/tex]
Where
[tex] V_{0}[/tex] = initial investment.
[tex] i_{q}[/tex] = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
[tex](1+ i_{a} )=(1+ i_{q} ) ^{4} [/tex]
Notice that we are not using the initial investment [tex] V_{0} [/tex] since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
[tex](1+0.07)=(1+ i_{q} ) ^{4} [/tex]
[tex]1.07=(1+ i_{q} ) ^{4} [/tex]
[tex] \sqrt[4]{1.07} =1+ i_{q} [/tex]
 [tex] i_{q} = \sqrt[4]{1.07} -1[/tex]
[tex] i_{q} =0.017[/tex]
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


i think its D but who knows HEEEEELELELLELEELEP

Answers

you plus 4 friends = 5 people

 them multiply 5 by m sp you get 5m

D is the correct answer


The lenght of a rectangleis 6 inches more thans its width the area of a rectangle is 91 inches find the dimernins

Answers

Length is 13 and the width is 7

If c(x)= [tex] \frac{5}{x-2} [/tex] and d(x) = x + 3, what is the domain of (cd)(x)?
all real values of x
all real values of x except x = 2
all real values of x except x = –3
all real values of x except x = 2 and x = –3

Answers

[tex]\bf \begin{cases} c(x)=\cfrac{5}{x-2}\\\\ d(x)=x+3\\ ----------\\ (cd)(x)\implies c(x)\cdot d(x) \end{cases} \\\\\\ c(x)\cdot d(x)\implies \left( \cfrac{5}{x-2}\right)(x+3)\implies \cfrac{5(x+3)}{x-2}[/tex]

now, for a fraction, if its denominator ever becomes 0, the fraction becomes undefined, because it'd be a division by 0.

when does that happen?  let's zero out the denominator to check,

x - 2 = 0, thus x = 2

so, if "x" ever becomes 2, the fractions goes kaput.

so, that domain is all real values except that one, that makes the fraction undefined.
Final answer:

The domain of the composite function (cd)(x), where c(x) = 5/(x-2) and d(x) = x + 3, includes all real values except x = 2 due to a division by zero condition in the function c(x).

Explanation:

In this problem, we need to figure out the domain of the combined function (cd)(x). The domain constitutes the set of all real values of x that make the function defined. The first function, c(x) =  rac{5}{x-2}, isn't defined for x = 2 because it would lead to a division by zero. The second function, d(x) = x + 3, is defined for all real values since it's a linear function.

When these functions are multiplied to form (cd)(x), the domain will be the intersection of the individual function domains. This means, with c(x) having a restriction with x != 2, the composite function (cd)(x) will maintain this restriction despite d(x) being defined for all real values. So the domain for (cd)(x) is all real values except for x = 2.

Learn more about Domain of Composite Function here:

https://brainly.com/question/31810210

#SPJ2

20 POINTS PLEASE HELP Write an equation for a trend line and predict the value when x is 15
X 0 3 6 9 12
Y 17.5 35.4 50.5 60.6 66.3

Answers

Attached is what you can do on excel.

Add the values as presented on the image. Select the values and then go t the menu "Insert" and look for "Charts" and then "Insert scatter chart". After this, select one of the dots from the graph and then press the right button of the mouse and select "add trendline". Now you have a trend line. Format the trendline selecting the option "Display Equation on chart" (and also if you want "Display R-squared value on chart"). Now you have the equation and you can easily predict the value when X is 15, you just need to substitute on the equation the X by the 15:
y = 4.0933Χ + 21.5 <=> y = 82.8995

Find the greatest common factor of 16, 27 and 20

Answers

Can you list the factors of each of those numbers (the numbers that divide evenly into them)? Of those three lists, what's the highest number present in all three?
The greatest common factor for 16, 27, and 20 is 1.
The factors for 16 are 1,2,4,8,16.
The factors for 27 are 1,3,9,27.
The factors for 20 are 1,2,4,5,10,20.

Mark had $19.00 to spend on stamp packets. They sell for $1.78 each. How many packets can he buy?

Answers

just do 19.00/1.78

That equals 10.67

so you can by 10 stamps.

Answer:

[tex]10\ stamp\ packets[/tex]

Step-by-step explanation:

Let

x-----> the number of packets that mark can buy

we know that

[tex]1.78x\leq 19[/tex] -----> inequality that represent the situation

Solve for x

Divide by [tex]1.78[/tex] both sides

[tex]x\leq 19/1.78[/tex]

[tex]x\leq 10.67\ stamp\ packets[/tex]


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