Mathematics Middle School

How does the method for solving equations with fractional or decimal coefficients and constants compare with the method for solving equations with integer coefficients and constants?

Answers

Answer 1
Sorry I'm not good at math!

Related Questions

  WORTH 50 POINTS 4. Tom decided to join Platinum Gym because of its new equipment. At the grand opening, the manager announced that 124 people had signed up for gym membership. As part of the grand opening event, the manager waived the registration fee for 50 random people.
(a) Write an expression to represent how much money Platinum Gym will make from the grand opening memberships. Simplify the expression and label any variables.
(b) After 6 months, how much money will Platinum Gym have made from the original 124 people who joined at the grand opening, assuming that all 124 people are still members? Show your work.

Answers

a: y=124x-50x
x is the cost for 1 membership, y is the total profit.
simplified: y=74x
b: there is not enough information given, you do not know the price of the membership so you can’t find the total profit

A coral reef grows 0.13 m every week how much does it grow in 12 weeks

Answers

Final answer:

To find out how much a coral reef grows in 12 weeks, with a weekly growth of 0.13 m, multiply the growth rate by the number of weeks, resulting in a total growth of 1.56 m.

Explanation:

If a coral reef grows 0.13 m every week, to find out how much it grows in 12 weeks, we simply need to multiply the weekly growth rate by the number of weeks:

Weekly growth rate = 0.13 m

Number of weeks = 12

Therefore, the total growth over 12 weeks is:

0.13 m/week × 12 weeks = 1.56 meters.

In 12 weeks, the coral reef grows by a total of 1.56 meters.

These numbers are not square numbers. Which two consecutive square numbers is each number in between
a. 7
B.30
c.50
d.90

Answers

The answer is B hope this helps
A is in between 2^2 and 3^2
B is in between 5 and 6 squared
C is in between 7^2 and 8^2
D is in between 9 9 and 10 squared

A bread making machine costs $99.The ingredients to make a one pound loaf of bread costs $0.45 .At store, you pay 2.19 for the same size loaf of bread.How many whole loaves of bread will you have to make in order for the cost of the machine and ingredients to be less than the cost of buying an equivalent Amount of bread at the store.

Answers

Hi there! I can help! So we already know that $99 is the cost of the bread making machine. Buying the first loaf of bread would be $2.19 and the total cost of machine and loaf is $99.45. For two loafs of bread is $4.38 store bough and $99.90 hand made. Three slices of bread bought from the store would be $6.57 and $100.35 hand made. If you keep doing the same pattern, the answer will eventually come up, but even after 50 loaves of store bought bread, the total would still be $109.50 and $121.50 for bread and hand made total costs. On 57th slice of bread, buying from the store would total $124.83 and having it hand made would be $124.65. You would have to make 57 whole loaves of bread in order for the cost of the machine and ingredients to be less than the cost of buying the same size loaves from the store.
Final answer:

To determine the number of loaves of bread needed to make the cost of the machine and ingredients less than buying bread at the store, set up an inequality and solve for 'x'. With the given values, you would need to make at least 5 whole loaves of bread.

Explanation:

To determine how many loaves of bread will need to be made for the cost of the machine and ingredients to be less than the cost of buying bread at the store, we need to compare the costs of making bread and buying bread.

The cost of making a one pound loaf of bread using the machine and ingredients is $0.45. The cost of buying a one pound loaf of bread at the store is $2.19.

Let's assume the cost of making each whole loaf of bread is $0.45. We can set up an inequality to represent the situation:

0.45x < 2.19

Where 'x' is the number of loaves of bread that need to be made.

To solve for 'x', we divide both sides of the inequality by 0.45:

x > 2.19/0.45

Using a calculator, we find that x > 4.87. Rounded up, this means you would need to make at least 5 whole loaves of bread in order for the cost of the machine and ingredients to be less than buying bread at the store.

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your bumper car hits your friends bumper car causing her to move forward what kind of energy was experienced

Answers

kinetic energy.

Hope this helps

Answer:

kinetic energy!

Step-by-step explanation:

Shaylyn measured her house as 5 meters tall. Which of these is an equivalent measurement?a. 0.3 milesb. 7.3 yardsc. 16.4 feetd. 27.2 inches

Answers

To solve this equation, you would convert 5 meters to miles, yards, feet, and inches. 

5 meters = 0.00310686 miles (doesn't match answer given)
5 meters = 5.46807 yards (doesn't match answer given)
5 meters = 16.4 feet (matches answer given)
5 meters = 196.85 inches (doesn't match answer given)

So, your answer would be C. 16.4 feet. 

I hope this helps!

What values are needed to make each expression a perfect square trinomial?
x2 + 4x +_____________
x2 – 10x + ____________

Answers

Answer:

Part a) [tex]x^{2}+4x+4[/tex]

Part b) [tex]x^{2}-10x+25[/tex]

Step-by-step explanation:

we know that

A perfect square trinomial is equal to

[tex](x+a)^{2} =x^{2}+2ax+a^{2}[/tex]

Part a) we have

[tex]x^{2}+4x[/tex]

Compare with the formula of a perfect square trinomial

[tex]x^{2}+4x=x^{2}+2ax+a^{2}[/tex]

so

[tex]4x=2ax[/tex]

[tex]4=2a[/tex]

[tex]a=2[/tex]

therefore

[tex](x+a)^{2} =(x+2)^{2}=x^{2}+4x+4[/tex]

Part b) we have

[tex]x^{2}-10x[/tex]

Compare with the formula of a perfect square trinomial

[tex]x^{2}-10x=x^{2}+2ax+a^{2}[/tex]

so

[tex]-10x=2ax[/tex]

[tex]-10=2a[/tex]

[tex]a=-5[/tex]

therefore

[tex](x+a)^{2} =(x-5)^{2}=x^{2}-10x+25[/tex]

The values are needed to make each expression a perfect square trinomial x^2 + 4x + 4 and x^2 – 10x + 25.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

A. [tex]x^{2} +4x+4[/tex]

A perfect square trinomial is

[tex](x+a)^2 = x^2 + 2ax + a^2[/tex]

Compare with the formula of a perfect square trinomial

4x = 2ax

4 = 2a

a = 2

Therefore, [tex](x+a)^2 = (x+2)^2 = x^{2} +4x+4[/tex]

B. [tex]x^{2} -10x + 25[/tex]

A perfect square trinomial is

[tex](x+a)^2 = x^2 + 2ax + a^2[/tex]

Compare with the formula of a perfect square trinomial

-10x = 2ax

-10 = 2a

a = -5

Therefore, [tex](x+a)^2 = (x-5)^2 = x^{2} -10x+25[/tex].

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Chalene wants to cut her hair but is a little nervous. She decides to cut it off slowly so she can get used to it as it gets shorter. Right now, her is is 11.5 inches past her shoulders. She decides to cut an inch and a half off her hair every week. Write an expression to describe the length of her hair in relationship to her shoulders.

Answers

Final answer:

The length of Chalene's hair in relation to her shoulders can be described using the expression:

Length of hair = 11.5 - 1.5n,

where 'n' represents the number of weeks. Each week, Chalene cuts 1.5 inches off her hair.

Explanation:

To describe the length of Chalene's hair in relation to her shoulders, we can use the expression:

Length of hair = 11.5 - 1.5n

where 'n' represents the number of weeks.

Each week, Chalene cuts 1.5 inches off her hair, so we subtract 1.5 from the previous length to get the new length.

For example, after 1 week, the length of her hair will be 11.5 - 1.5(1) = 10 inches past her shoulders.

HELP ME PLS I NEED TO FIGURE OUT 8/15 TIMES -3/10!!!!! PLS TELL ME

Answers

The answer is .1599 just cross cancel to find answer.
The answer is:   " - 4/25 "  ; or, write as:  " - 0.16 " .
___________________________________________________
Explanation:
___________________________________________________
Method 1):
_______________________________________________________
       8/15 * -3/10 ;   the  (-3) cancels to "-1" and the "15" cancels to "5" ;
                                 {"Since:  (15÷3=5} ; and since:  (-3÷3= -1} ; 

                              the "8" cancels to a "4" ; and the "10" cancels to a "2" ;
                                  {"Since:  (8÷2=4) ; and since:  {10÷2 =5} ;

And we can rewrite the problem as:
                                4/5  *  -1/5 ;
_______________________________________________________
                                             →  4/5  *  -1/5  = (4*-1) / (5*5) ;

                                                                     =  - 4/25 ; 
                                                                             {or, write as:  "-0.16 " }.
_________________________________________________________
Method 2)
_________________________________________________________
 8/15 * -3/10 = (8*-3) / (15*10) '

= -24/150 = ? ;

 Divide each side of this "fraction" by: "6" ;

   (-24÷6) / (150÷6) = " - 4/25 "; or, write as:  " - 0.16" .
___________________________________________________________

Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress.

Answers

Total cost is $38.16

Multiply 36 by 0.06 (2.16)
Add 2.16 to 36 (38.16)
6/100 = x/36

First multiply 6 by 36

216

Then divide by 100

2.16

Add back 36

Total price is $38.16

Hope this helps!

Which equation shows how to find the product of 100,000 and 1,000,000 using scientific notation?

A) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 + 6) = 1 × 10^11
B) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 × 6) = 1 × 10^30
C) 100,000 × 1,000,000 = (1 × 10^6) × (1 × 10^7) = 1 × 10^(6 + 7) = 1 × 10^13
D) 100,000 × 1,000,000 = (1 × 10^6) × (1 × 10^7) = 1 × 10^(6 × 7) = 1 × 10^42

Answers

Your answer is B 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 × 6) = 1 × 10^30 because...

100,000=1×10^5
1,000,000=1×10^6

And 5×6=30

Also its not A because 5×6=30 not 11 its not C because 5×6=30 not 13 and when it came down to rather B or D I choose Because once again 5×6=30 no 42.


Basically all of the options are worded correctly but their they didn't multiply it the same at the end which is 5×6


Your answer is B.

Answer:A

Step-by-step explanation:

The answer to the question is A.) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 + 6) = 1 × 10^11

the amount of money rqised at a charity fundraiser varies directly with the number of attendees. the amount of money raised by 14 attendees was $231. how much money will be raised if there 45 attendees?

Answers

the raised 742.5 for 45 attendees

round 54.953 to the nearest whole number

Answers

The answer to that is 55
First you should understand that whole number do not contain decimals.

Simple rule for rounding to whole numbers...look to the first digit behind the decimal if greater than 5 round up; lower than 5 keep the digit.


a water tank is 1/8 full. the tank is 3/4 full when 42 gallons of water are added to the tank. How much water is in the tank when it is 1/2 full?

Answers

3/4 - 1/8 = 5/8, so 5/8 tank(42 gallons) of water is added to the tank, so 1/8 tank of water is 8.4 gallons of water, and 1/2 is 4 x 1/8 so 4x8.4= 33.6 gallons.
Answer: 33.6 gallons of water is in the tank when it is 1/2 full.

three times a number, minus 5, is equal to two times the number, plus 9 find the number

Answers

3x-5=2x+9 Solve for x
14 is the answer. 
3x-5=2x+9.

Grace’s catering company receives an order for 118 Apple pies. Grace used 8 Apples to make one apple pie. How many apples does she need to make all 118 pies?

Answers

Tha answer is 15 apple pies. Divide 118 pies by 8 apples. You will get 14 and a remainder. Add one more to the quotient.
She can make 14 pies total. Because if you divide 118 by 8 you get 4.75 but with the problem you are working with you can't round up so 14 would be the max number of pies you can make and you will have a few apples left over (the .75 left)

The measure of angle A = ____ degrees.

Answers

' y ' is 5, and angle-A is 31 degrees.

(Angles A and B are equal, and all 3 angles add up to 180.)

16.9÷(-1.3)
[tex]16.9 \div ( - 1.3)[/tex]

Answers

16.9 ÷ (-1.3)

= -13

God bless!

Solve the following proportion for x 6/7 = 48/x

Answers

The answer is:  " x = 56 " .
____________________________
Given :  " 6/7 = 48/x ;  Solve for "x" ;

Method 1):   "Cross multiply" ;

6x = 7 * 48 ;

6x = 336 ;

Divide each side by "6" ;  as follows:
__________________________________
 6x / 6 = 336 / 6 ;
______________________________________
to get:
______________________________________
   x = 56 .
______________________________________

Method 2):   Given:  " 6/7 = 48/x " ; Solve for "x" ;
______________________________________
  Cross-multiply:
______________________________________
                    6x = 7 * 48 ;
______________________________________
  Now, divide EACH SIDE of the equation by "6" ;  
    to isolate "x" on one side of the equation; 
 & to solve for "x" ;
______________________________________
                      6x = 7 * 48 ;
______________________________________
Divide EACH side of the equation by "6" :
______________________________________

→  [tex] \frac{6x}{6} [/tex]  = [tex] \frac{7*48}{6} [/tex]  ;
______________________________________
On the "left-hand side" of the equation, the "6 's " cancel out to "1" ; 

{since:  (6÷6=1) ; & we are left with "x" on the left-hand side of the equation} ;

On the "right-hand side" of the equation; the "48" in the denominator

  cancels out to an "8" ; and the "6" cancels to a "1" ; 

{since: (48÷6=8); & (6÷6=1) ; and the denominator gets "eliminated"; 

{since the denominator is equal to "1" ;

    & any value (including the numerator),  divided by "1" (the denominator),

  is equal to that same value (the numerator);

so there is no need for the "denominator".
________________________________________
We can rewrite the equation as:

        x = 7 * 8 ; and solve;  →   7 * 8 = 56 ;

          →  x = 56 .
_____________________________________

Method 3):  Given:  " 6/7 = 48/x " ; Solve for "x" ;
____________________________________________________
    →  6/7 = 48/x ;  

   → Comparing the "numerators" ;  " [ 6 * (what value?)  = 48 ?] " ??

                                                      → [ (48 ÷ 6 = (what value?) ] ??
                                         
                                                      →   48 ÷ 6 = 8 /

→ So:  "6/7" = (6*8) / (7*8) = 48/56 = 48/ x ??  ;
   
                                                          → x = 56 .
_________________________________________

Jack travels 2.45 miles to school. Wanda travels 2.31 miles to school. Compare the distances using words

Answers

Wanda travels .14 miles less when traveling to school than Jack does

Write using algebra.

Leo has d stamps and Pete has 2 times as many. How many more stamps does Pete have than Leo?

Answers

d x 2= c so whatever Leo has Pete always has twice as much

Pete always has 2 times as many stamps than Leo.

What is an expression?

"It is a mathematical statement which consists of constants, variables and mathematical operations."

For given question,

Let Pete has 'm' stamps.

Leo has d stamps and Pete has 2 times as many.

so, we get an expression,

m = 2 × d

so whatever Leo has Pete always has twice as much.

Therefore, Pete always has 2 times as many stamps than Leo.

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PLEASE HELP!!!!!!!!!!!!!!!!
What value correctly fills in the blank so that the expressions are equivalent?

18 + 45 = ___ ´ (2 + 5)
2
3
7
9

Answers

18 + 45 = __9_ ´ (2 + 5)

answer
9
The answer is 9.
18+45=63
9(2+5)
9*2=18
9*5=45
18+45=63

HW Help -

6(−3−x)−2x=14
x = ___

14=2c−6+3c
c = ___

−7.5(x−3)=3.75
x = ___

3/5(r−7)=1
___

3.5(t+6)=7
A - -4
B - -0.25
C - 0.25
D - 4

Answers

6(−3−x)−2x=14 
x= -4

14=2c-6+3c
c= 4

−7.5(x−3)=3.75
x= 2.5 

3/5(r−7)=1
r= 26/3

3.5 (t+6)=7 
D) -4 


Hope this helps ^.^

the difference between three times a number and 7 is 14

Answers

3x -7 = 14

3x - 7 (+7) = 14 (+7)

3x = 21

3x/3 = 21/3

x = 7

hope this helps
the sentence in numerical form is 3x-7=14
to solve, add 7
3x=21
then divide by 3
x=7

What is the angular position in radians of the minute hand of a clock at 10:35?

Answers

4.20 radians I believe. Hope I helped

Ava read 110 books in 11 months. How many books per month did she read

Answers

110/11= 10 books per month. 


Ava read 10 books per month I know because 110 divided by 11 is 10.

What is 15 divide by 5/9

Answers

3/9 is the answer I got
15 divided by 5/9 = 27
15 x 9 = 135,
1 x 5 = 5 = 135/5
Simplify: 135/5 = 27
Hope this helps!

Is the square root of 12-2 rational or irrational?

Answers

I'm positive that it's rational

Lincoln Middle School plans to collect more than 2000 cans of food in a food drive. So far, 668 cans have been collected. Write an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. Identify what your variable represents.

Answers

2000>_ 668 +c 
C=cans to be collected

which is the absolute value of 9 and -9

Answers

the answer is 9 because you just see how far away the number is from 0
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