1 Subtracting Fractions

Find the sum of 5

7

and

10

1o

The expression written in equivalent form with common

denominators is

The sum is

Answers

Answer 1

Step-by-step explanation:

The question is not properly structured but we can as well find the sum of 5/7 and 10 as shown;

[tex]\frac{5}{7}+ \frac{10}{1} \\The \ LCM \ is \ 7\\\\= \frac{5(1)+10(7)}{7}\\\\= \frac{5+70}{7}\\\\= \frac{75}{7} \\\\= 10 \frac{5}{7}[/tex]

Hence the expression written in equivalent form of common denominator is [tex]\frac{5 + 70}{7}[/tex]

The sum is [tex]10 \frac{5}{7}[/tex]


Related Questions

Two teachers, Mr. Meehan and Mrs. Chipps, decide to buy compasses and rulers for their classrooms. Mrs. Chipps buys 30 compasses and 50 rulers for $95. Mr. Meehan buys 40 of each for $116. What are the individual costs of the compasses and rulers that were purchased? Explanation Please

Answers

Answer:

compass = $ 2.50 each ruler        = $ 0.40 each

Step-by-step explanation:

Mrs. Chipps buys 30 c + 50 r = $95

Mr. Meehan buys 40 c + 40 r = $116    x (-1.25) to eliminate r

                             30 c + 50 r = $ 95

                            -50 c - 50 r  = $-145

                            -20 c             =  -50

                                               c = 50 / 20

                                               c = $2.5

substitute c = 2.5 into eq. 1

30 c + 50 r = $95

30 (2.5) + 50 r = 95

75 + 50 r = 95

50 r = 95 - 75

r = 20 / 50

r = 0.40

therefore, the individual costs of the compasses and rulers are:

compass = $ 2.50 each

ruler        = $ 0.40 each

Which expression is equivalent to 30 degrees? WILL DO BRAINLIEST
Options in picture below! Timed test, thanks for your help!

Answers

Answer:

It is the second one :D

Answer:

I think it’s C

Step-by-step explanation:

What’s the answer for this? Only if you know tho!

Answers

Answer: D. SSS

Step-by-step explanation:

The solution would be SSS because the image shows that AB is congruent to DE, BC is congruent to EF, and AC is congruent to DF. Because the image shows that all three sides are congruent to their corresponding side on the other triangle, with no mention of angles, the triangles are congreunt through the SSS theorem.

In a survey of 1046 adults conducted by Bradley Corporation, subjects were asked how often they wash their hands when using a public restroom, and 70% of the respondents said "always."


Identify the sample and the population.

Answers

Answer:

Sample = 1046

Population = All adults.

Step-by-step explanation:

In Statistics, a sample can be defined as a set of items, objects or individuals collected, selected or drawn from a population. Thus, a sample is a subset of a population. In this scenario, the sample is 1046.

On the other hand, population can be defined as the total number of individuals in a survey. Thus, all the adults are a population.

1. Tyrel walks Mrs. Murray's dog each day for $10 per week. How much does he earn each day for walking the dog? ​

Answers

Answer:

$1.42 / day

Step-by-step explanation:

Divide 10 by 7. 10 for the amount of money being paid, 7 for the amount of days in a week.

2 p
In a nursery, there are 5 adults and 14 children. Write the ratio of adults to
children in the form 1:n
*
can someone help me?

Answers

Answer:

5:14

Step-by-step explanation:

The ratio of adults to children using the form 1:n would look like this:

number of adults : number of children

So:

5 adults : 14 children = 5:14

Answer:

1 : 2.8

Step-by-step explanation:

in such a case what the question is asking you to is to compare the numbers and simplify them with the left hand number.

ratio of adult to children

write it as 5:14

put the 1 :n underneath

5  :  14   what we want to find is the n. among the 2 sides one is complete                      

1   :   n      only whole numbers. to get n look at the complete side . if

                    5:1      14=14 x 1 /5(cross multiplication). or you can

divide both sides by the left hand number(5)

5   and   14   =   1 :  2.8

5              5

the n is what we were trying to find and compare it to 1

this means for every 1 adult there are 2.8 children

Therefore, the sum of two rational numbers will
always be

Answers

Answer: Itll always be a rational number and never zero

Step-by-step explanation:

Answer:

A rational number (The third option).

Step-by-step explanation:

1. By definition, rational numbers have the following form, where and are integers and [tex]b\neq 0[/tex].

2. Therefore, when you add two rational numbers, the result will be a rational number.

3. An example is shown below:

[tex]\frac{1}{5}+\frac{2}{5}+\frac{3}{5}[/tex]

The result is a fraction whose numerator and denominator are integers.

PLEASE HELP QUICK

If two angles form a linear pair, then they are adjacent and
O congruent
O supplementary
O complementary
O perpendicular

Answers

Answer:

Supplementary

Step-by-step explanation:

2 angles that form a linear pair (180°) is supplementary

Answer: Supplementary.

Explanation: If two angles form a linear pair, the angles are supplementary. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary. If two congruent angles form a linear pair, the angles are right angles.

Please give me brainlisted

The average of 16 numbers is 70. If the average of 15 of these numbers is 17, then the 16th number is?

Answers

Answer:

865

Step-by-step explanation:

16*70=1120

15*17=255

1120-255=865

Please help me.Huryyyy!!! Whoever answers first gets brainiest!!!

Answers

what do I need to answer?

Answer:

what do i answer lol

Step-by-step explanation:

Which of these numbers is four less than a square number?
A 3
B 20
C 37
D 45​

Answers

Answer:

D

Step-by-step explanation:

You first add 4 to all of the numbers giving you 7, 24, 41, and 49. Only choice D is a perfect square. for reference, 7*7=49

Answer:

45

Step-by-step explanation:

basically what we are trying to find is x + 4= square

for you to understand this better, take eg 5.

5  +   4 =       9

         |            \

four less than the square number( 9 is the square of 3)

we took the square of 3 and subtracted 4 from it making the result 4 less

12 + 4 = 16

         |            \

four less than the square number( 16 is the square of 4)

we took the square of 4 and subtracted 4 from it making the result 4 less

understanding that,

a)3

3 + 4 = 7

there is no square root of 7   X

b)20

20 + 4 = 24

there is no square root of 24   X

c)37

37 + 4 = 41

there is no square root of 41   X

d) 45

45 + 4 = 49

the square root of 49 = 7

answer=49

FREEE POOOINTTTSSSS FORRRR ANNYYYOONNNEEE WHOOOO HELPSSSS MEEEEE PLZZZZ ASAP

Answers

X = -35c
Y = -49f
Z = -40f
Y is the coldest
This is the answer
X=-35c
Y=-49f

A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair of trainers to the shop?i will mark as brainliest if right answer.

Answers

Answer:

£15.6

Step-by-step explanation:

Method 1:

You are trying to find 30% of £52.

Therefore:

[tex]\frac{30}{100} * 52 = \frac{30 * 52}{100}[/tex]

If you solve this you will find that 30 × 52 = 1560, and 1560 ÷ 100 = £15.6.

So, the answer is £15.6.

Method 2:

You can solve 30% of £52 by using an algebra equation.

By using the rule that to convert a percentage to a decimal you divide by 100, you can change 30% to be 0.3.

Now, in order to write the equation, you will have to include 0.3 and 52.

The equation is:

0.3 * 52 = x

Once you multiply, you will find that the answer is £15.6.

I hope I helped!

Write an equation in point slope form of the line with the slope of 4 that passes through (-2,-5)

Answers

Answer:

y=4x+3

Step-by-step explanation:

m =4

[tex](-2,-5)=(x_1,y_1)[/tex]

Substitute values into slope intercept form

[tex]y-y_1=m(x-x_1)\\\\y-(-5)=4(x-(-2))\\\\y+5=4(x+2)\\\\y+5=4x+8\\\\y=4x+8-5\\\\y=4x+3[/tex]

PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.

Answers

Answer:

C).

Step-by-step explanation:

-3x+2 and[(-)(x^2+5x)

3x+2 and (-x^2+5x)

3x+2-x^2+5x

-x^2-8x+2

Hope this Helps :)

Pls help me plsss which story represents the graph below

Answers

Answer:

third answer: both of the above

Step-by-step explanation:

The graph shows a small increase, then the data stays the same, it declines, and then has a sharp increase. Both stories portray that.

The amount of Kelly’s paycheck varies directly with the number of hours she works. Kelly receives $133.25 for 13 hours of work.
(a) Write a direct variation equation that relates the amount of Kelly’s paycheck, p, to the number of hours, h, Kelly works.
(b) Use the equation to find the number of hours Kelly works when her paycheck is $246.
(c) Use the equation to find the amount of Kelly’s paycheck when she works 40 hours.
MUST SHOW ALL WORK WILL MARK BRAINLEST TO WHOEVER ANSWERS CORRECTLY

Answers

Answer:

A)

[tex]y=10.25x[/tex]

B)

24 hours

C)

$410

Step-by-step explanation:

We are given that Kelly’s paycheck varies directly with the number of hours she works.

We know that she received $133.25 for 13 hours of work.

Part A)

The standard form for the direct variation equation is:

[tex]y=kx[/tex]

Where k is the constant of variation.

Here, y is the paycheck amount and x is the number of hours Kelly worked.

We know that Kelly received $133.25 for 13 hours of work. Hence, y = 133.25 when x = 13:

[tex]133.25=13k[/tex]

Solve for k:

[tex]k=10.25\\[/tex]

Therefore, our constant of variation is 10.25.

We can substitute this into our equation:

[tex]y=10.25x[/tex]

Therefore, our direct variation equation is:

[tex]y=10.25x[/tex]

Contextually, the equation tells us that Kelly earns $10.25 per hour.

Part B)

Using the equation, we can determine the the number of hours Kelly worked to earn $246. We can substitute 246 for y:

[tex]246=10.25x[/tex]

Solve for x:

[tex]\displaystyle x=\frac{246}{10.25}=24[/tex]

Therefore, x = 24.

Therefore, Kelly must’ve worked 24 hours for her paycheck to be $246.

Part C)

We can use our equation. This time, we will substitute 40 for x and evaluate. Hence:

[tex]y=10.25(40)=\$410[/tex]

So, Kelly will earn $410 for working 40 hours.

Select the equations in which
w
=
100
makes the equation true. Select all that apply.

A.
0
.
54
÷
w
=
0
.
0054
B.
4
,
086
÷
w
=
4
.
086
C.
362
.
7
÷
w
=
3
.
627
D.
5
.
3
÷
w
=
0
.
0053
E.
21
.
9
÷
w
=
0
.
219

Answers

Answer:

5.19

Step-by-step explanation:

Boris pushes a 5 lb. box 6 feet in 2 seconds. He has _____.

done 50 ft-lbs. of work
a power output of 30 ft-lbs./sec
a power output of 15 ft-lbs./sec
not done work​

Answers

Answer:

B.

Step-by-step explanation:

A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
10-pound mixture that would sell for $80?

Answers

Answer:

4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.

Step-by-step explanation:

Let w = wooden block

Let p = plastic bricks

Given the following data;

Price of wooden block per pounds = $5

Price of plastic brick per pounds = $10

*Translating the word problem into an algebraic equation*

For the 10-pound mixture;

[tex] w + p = 10[/tex] .........equation 1

For the $80 mixture;

[tex] 5w + 10p = 80[/tex] ..........equation 2

Solving the linear equation by using the substitution method;

Making w the subject in equation 1:

[tex] w = 10 - p[/tex] .......equation 3

Substituting "w" into equation 2;

[tex] 5(10 - p) + 10p = 80 [/tex]

Simplifying the equation, we have;

[tex] 50 - 5p + 10p = 80 [/tex]

[tex] 50 + 5p = 80 [/tex]

Rearranging the equation, we have;

[tex] 5p = 80 - 50[/tex]

[tex] 5p = 30 [/tex]

[tex] p = \frac {30}{5} [/tex]

p = 6 pounds (For the plastic brick).

To find w;

Substituting "p" into equation 3;

[tex] w = 10 - 6[/tex]

w = 4 pounds (For the wooden block).

Which expressions give the monthly pay of an employee with 33 hours of training

Answers

Answer:

A-33(PAY) OR 33(P)

B-33 x pay or 33 x p

C-hours(33)or H(33)

D-pay(33) or p(33)

its D is correct hope this helps

Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?

Answers

unrounjrfStep-by-step explanation:

Which equation can be used to find the solution of (1/2)^2x=32
-2x=5
2x=5
1/2x=5
-1/2x=5​

Answers

Answer:

-2x = 5

Step-by-step explanation:

(1/2)^2x=322^(-2x) = 2^5-2x = 5

Correct option is the first one

A constant function is a
function of the form
= b . The slope of a constant function is

Answers

Answer:

The slope of the constant function is 0

Step-by-step explanation:

The equation of the constant function is f(x) = b, where b is the y-interceptThe constant function is represented graphically by a horizontal line, the y-coordinates of all points lie on it is bThe slope of any horizontal line is 0 because the difference between the y-coordinates of any two points on the line is 0, then m = 0, so its equation is y = b

∵ The equation of the constant function is in the form f(x) = b

∵ The equation of the horizontal line is y = b

∴ f(x) = y

∵ The slope of the horizontal line is 0

The slope of the constant function is 0

We want to get the slope of a constant function, we will see that the slope is equal to zero.

Linear functions:

A general linear function is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

For the case of the constant function we have:

y = b

Notice that we can rewrite this as:

y = 0*x + b

Then is easy to see that the slope of the constant function is equal to 0.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/14323743

PLEASE HELP! (don't graph, give me the coordinates and i will graph myself)

Answers

Answer:X=3

y= -4

Step-by-step explanation:

If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.

so solving for x, 4x=12--> x=3, since y=0 in this scenario.

Solving for y, x=0, so -3y=12--> y=(-4)

9514 1404 393

Answer:

  see below for a table

Step-by-step explanation:

You can easily identify intercept points by solving for one variable when the other is zero.

x-intercept (y=0)

  4x = 12

  x = 12/4 = 3

y-intercept (x=0)

  -3y = 12

  y = 12/-3 = -4

So, the coordinate pairs of these points are ...

  (3, 0) and (0, -4)

__

If you solve for y, you get ...

  -3y = 12 -4x

  y = (4/3)x -4 . . . . . divide by -3

This suggests that x being a multiple of 3 will be useful for finding integer values of y.

We already have points for x=0 and x=3. We can add points for x=6 and x=-3.

  y = 4/3(6) -4 = 4

  y = 4/3(-3) -4 = -8

So, the additional points are ...

  (6, 4) and (-3, -8)

Solve
3+ (1/4)a = 31

Answers

a=112 is the answer

Answer:

a=112

Step-by-step explanation:

3+(1/4)a=31

-3            -3

(1/4)a=28

*4       *4

(1)a=112

If Jerome were to roll two dice 48 times, about how many times could he expect to roll doubles? Group of answer choices 18 times 12 times 8 times 6 times

Answers

Answer: 8 times

Step-by-step explanation:

There are 1/6 chance everytime you roll, so if you x48 is is 48/6 which is 8 times!

Points for people that need them :)

Answers

Answer:

Thank you so much!!!

You're the best!!!!

Answer:

thx ☺️

ehehhehehehe

Step-by-step explanation:

so thx!

Help please ASAP I don’t really understand it!!

Answers

All are negative exponent property except for the top right one

Sansra and bernice are starting a nutrition and exercise that will last 12 weeks. Sandra is starting at 150 pounds and plans to lose 1 pound a week. Bernice is starting at 135 and plans to lose 1/2 a pound a week. When during the program will sandra weight the same?

Answers

Answer:

They won't have the same weight during the program

Step-by-step explanation:

Let w = number of weeks

SANDRA:

Starting weight = 150 pounds

Weight lost per week = 1 pound

150 - w

BERNICE:

Starting weight = 135 pounds

Weight lost per week = 0.5 pound

135 - 0.5w

WEEK in which they'll weigh the same :

150 - w = 135 - 0.5w

150 - 135 = - 0.5w + w

15 = 0.5w

w = 15/ 0.5

w = 30

Since the program will last 12 weeks, they'll not have the same weight during the program

Other Questions
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