Work out the following:

a) 3/4 - 7/9 + 2/3

Answers

Answer 1

Answer: 23/36

Step-by-step explanation:

[tex]\frac{3}{4} -\frac{7}{9} +\frac{2}{3}[/tex]

You need to find a common denominator.

The common denominator is 36. You have to get all denominators to 36.

How to do that?

Example = [tex]\frac{3}{4} *\frac{9}{9} =\frac{27}{36}[/tex].

Do that to all the fractions.

[tex]\frac{27}{36} -\frac{28}{36} +\frac{24}{36} = \frac{23}{36}[/tex]


Related Questions

y-3=1/6(x-6)
................

Answers

Answer:

answer is y=1x/6 +2. or y= X+ 12/6

Step-by-step explanation:

y-3 = 1/6(x-6)

y-3= 1x/6 -1

y = 1x/6 -1+3

y. = 1x/6 +2. or y= X+ 12/6

Sarah is buying some school clothes.
She found a sweater she likes that costs $18.85 and some t-shirts that are on sale for $4 each.
She got several t shirts of different colors and spent a total of $54.85.
Which equation describes the situation where x is the number of t shirts?

Answers

The answer is the first one

Please help! The girls' gym teacher needs to purchase
15 softballs, 5 packages of tennis balls,
and 2 soccer balls. She plans to collect
$1 from each of her 15 students to help
pay for the balls. Write and evaluate an
expression to show how much more the
teacher will have to pay.

Answers

Well the teacher would only get $15 but we don’t know how much the balls cost so you can’t make an expression

HELP PLSSSSSSSSSSSSSSSSSSSS

Answers

Step-by-step explanation:

I need help in that too :(

Answer:

1 true

2true

3 false

4 false

Step-by-step explanation:

WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they received. SHOW YOUR WORK

Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50
Exam score 82 78 90 78 85 97 100 85 73 90 91 98
Use a graphing calculator to model the data using a linear function.

What is the correlation coefficient of the data?


−0.74

−0.48

0.93

0.98

Answers

Answer:

The answer is 0.93

Step-by-step explanation:

I took the test

It takes 12 hours to fill a pool with the inlet pipe. It can be emptied in 15 hours with the outlet pipe. If the pool is 1/2 full to begin with, how long will it take to fill it from there if both pipes are open?

Answers

6 should be right answer to your problem

Answer:

12x15=100

Step-by-step explanation:

Its times because I know it

HELP ASAP......find the slope of the line that passes through the two points (-44.42,5.1) and (4.42,4)

Answers

Answer:

m ≈ -0.225

Step-by-step explanation:

For points (-44.42, 5.1) and (4.42, 4)

slope = (y2 -y1)/(x2 -x1) = (5.1 -4)/ (-44.42 -4.42) = 1.1 / -48.44 ≈ - 0.225

a) What is the equation of the function

b) Compare the graph to f(x)=2(x+1)^2

Answers

Answer:
A) ((x+1)^2)-3

B) f(x) = 2(x+1)^2 is vertically stretched upwards by a factor of 2. In addition to this, it’s minimum value remains on the x-axis, due to there being no vertical translation like in the equation on part A.
So: The equation in part A has no vertical stretch, and does have a vertical translation, however it retains the same horizontal translation.

Explanation:
You can see the transformations by looking at the vertex and at least 1 other point.
Since it is a parabola we can start by saying:
f(x) = x^2
We also see a vertical translation of 3 units down:
f(x) = (x^2)-3
Lastly, we see a horizontal translation of 1 unit to the left:
f(x) = ((x-1)^2)-3
The answer is A hope this helps

Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
picnic table to share them. Brooke evenly distributes the donuts onto 13 napkins, one for
each person in the group. Each napkin has 4 donuts.
Which equation can you use to find the number of donuts d in the bag?
d + 13 = 4
d
= 4
13
13d = 4
d - 13 = 4

Answers

Answer:

d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided

Step-by-step explanation: 13/d

Jon has 32 trading cards. He
puts the cards into piles of 8 cards. How many piles
does he make?

Answers

Answer:

4

Step-by-step explanation:

Take the number of cards and divide by the number of cards to determine the number of piles

32/8

4

There are 4 piles

Answer:

4 piles

Step-by-step explanation:

32 ÷ 8 = 4

8 cards in a pile. 8, 16, 24 ,32.

Can someone please explain this by step by step? And give me the answer

Answers

Answer:

we know that q=-18

So if we see the fraction below it says q/3

We know that q is -18

Therefore, you substitute it in for q and you get

-18/3 which equals -6

Solve the problems. Write the complete proof in your homework and for online (only) respond to questions or statements (if any) that are parts of your proof or related to it.

Answers

Step-by-step explanation:

Well we know that ZACB=LABC because

AABC is isosceles, so base angles theorem applies.

m<ACB=70°

So mzDCE=m/DEC-35° because of base angles theorem, and because mzDCE=m/ACB-m<ECB=70°-35°

Finally, DE || CB because the alternate interior angles ECB=<DEC

Please help me!

If you wanted to find the difference of 6/25 - 4/5, what common denominator should you choose? Why?

Answers

Answer:

Choose 1/25 as the common denominator

Step-by-step explanation:

1/25 is the lowest number that both existing denominators can be factored into.

6/25 would remain the same....  6/25

4/5 would become 20/25.....  multiply the top and bottom by 5

So 6/25 - 20/25 = - 14/25

Find the surface area and the volume of the prism .​

Answers

Answer:

Surface area is 1140cm^2

Volume is 1800 cm^3

Step-by-step explanation:

12x5=60x2=120

5x6=30x2=60

20x6=120x8= 960

120

  60

+960

1140

12x20=240x10=2400

5x6=30x20=600

2400-600=1800

Can you help please.?

Answers

Answer:

2.33yd or 2 1/3yd

Step-by-step explanation:

7/3=2.33

C: infinitely many solutions, help solve fast pls

Answers

it is c: infinitely many solutions

because you end up with the same teem on both sides so it is infinitely many

An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?

Answers

9514 1404 393

Answer:

  189

Step-by-step explanation:

The difference between the ratio units is 8 -1 = 7.

The difference between child and adult ticket sales was 147 tickets, so each ratio unit stands for 147/7 = 21 tickets.

The total of the ratio units is 8+1 = 9, so 9 × 21 = 189 tickets were sold on Saturday.

__

That was 168 child tickets and 21 adult tickets.

Which of the following is true when constructing a line graph?


Each axis has even spacing.
Each point represents a data pair.
The vertical axis shows increments of time.
The scale starts at the minimum value and goes to the maximum value. please help fast!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:
Each axis has even spacing.

Each point represents a data pair.

I took the test

Increase £15837.77 by 18.5% Give your answer rounded to 2 DP.​

Answers

Answer:

£18, 767.7574

Step-by-step explanation:

15837.77 x 18.5%=2,929.98745

15837.77 + 2,929.98745= 18, 767.7574

Hope this helps! Please ask me freely if you have any questions regarding this.

Answer:

Step-by-step explanation:

100+18.5=118.5

15837.77×118.5 %=18767.75745≈18767.76

How many groups of 2/3 are in 3/5

Answers

To find the answer, we will need to divide 3/5 by 2/3.

3/5 / 2/3

3/5 x 3/2

9 / 10

There are 9/10 groups of 2/3 in 3/5.

Hope this helps!! :)

Enter an equation in standard form to model the linear situation. A bathtub that holds 41 gallons of water contains 11 gallons of water. You begin filling it, and after 5 minutes, the tub is full.

Answers

Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.

2 1/7 x 1/3 in lowest terms??

Help please

25 points for the right answer

Answers

Answer:

5/7

Step-by-step explanation:

2 1/7 x 1/3

= 15/7 × 1/3

=  15 × 1/7 × 3

=  15/21

=  15 ÷ 3/21 ÷ 3

=  5/7

2=8−6/4x help please yall whats the x

Answers

Answer:

x= 4

Step-by-step explanation:

How to solve your problem

Topics: Algebra

2=8−1⋅64⋅

2=8-1 \cdot \frac{6}{4} \cdot x

2=8−1⋅46​⋅x

Solve

Divide the numbers

2=8−1⋅64⋅

2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x

2=8−1⋅46​⋅x

2=8−1⋅32

2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

Multiply the numbers

2=8−1⋅32

2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

2=8−32

2=8{\color{#c92786}{-\frac{3}{2}}}x

2=8−23​x

Combine multiplied terms into a single fraction

2=8−32

2=8-\frac{3}{2}x

2=8−23​x

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​

Find common denominator

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​ 2 =2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x ​

Combine fractions with common denominator

2=2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x​

2=2⋅8−3 2

2=\frac{2 \cdot 8-3x}{2}

2=22⋅8−3x​

Multiply the numbers

2=2⋅8-3 2

2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}

2=22⋅8−3x​ 2=16−3 2

2=\frac{{\color{#c92786}{16}}-3x}{2}

2=216−3x​

Rearrange terms

2=16−3 2

2=\frac{{\color{#c92786}{16-3x}}}{2}

2=2 16−3x ​2=−3+16 2

2=\frac{{\color{#c92786}{-3x+16}}}{2}

2=2−3x+16​

Multiply all terms by the same value to eliminate fraction denominators

2=−3+16 2 2=\frac{-3x+16}{2}

2=2−3x+16​

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

Cancel multiplied terms that are in the denominator

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

2⋅2=−3+16

2 \cdot 2=-3x+16

2⋅2=−3x+16

Multiply the numbers

2⋅2=−3+16

{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16

2⋅2=−3x+16

4=−3+16

{\color{#c92786}{4}}=-3x+16

4=−3x+16

Subtract

16

from both sides of the equation

4=−3x+16

4−16=−3+16−16

4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}

4−16=−3x+16−16

Simplify

Subtract the numbers

−12=−3

Divide both sides of the equation by the same term

−12=−3

\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}

−3−12​=−3−3x​

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

= 4

rationalize the denominator of
[tex]4 \div \sqrt{x} + 2 \sqrt{y } [/tex]

Answers

Step-by-step explanation:

the answer is in the image above

Estimate the sums and difference of 38.12 + 12.24 and round to the nearest tenth

Answers

Answer:

50.4

Step-by-step explanation:

38.12 + 12.24 = 50.36

6 is near 10

50.36 = 50.4

a class has 28 students. The ratio of girls to boys is 4:3. How many girls

Answers

Answer:

let

no of girls be 4x & boys be 3x

or, 3x+4x=28

or, 7x=28

x=28/7=4

hence no of girls = 4x=4*4= 16

Solve the equation to find a positive value of c:
62 + 82 = c2
(20 points)

Answers

Answer:

The equation has 2 solutions

c = -12

c = 12

Step-by-step explanation:

Swap the sides

c² = 62 = 82

Simplify the equation

c² = 144

separate the solutions

c = ± 12

Solution

c = -12

c = 12

The. Problem I in the picture

Answers

Answer:

can't see it clearly sorry about that

3x-2y=4
2x+3y=7

X=?
Y=?

Plz step by step

Answers

Answer:

x= 2

y= -1

Step-by-step explanation:

Simultanous equation(elimination method)

STEP 1: multiply the number near x with the opposite equation.

in this case in equation 1, three is near x so u multiply it with the second equation.

2(3x-2y=4)

3(2x+3y=7)

you get 6x-4y=8

6x+9y=21

STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign

6x-4y=8 <-------- 1st equation

6x+9y=21 <-------- 2nd equation

SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21

STEP 3: Now do the elimination part and calculation

+6x-4y=8

-6x-9y= -21

___________

0x-13y= 13

NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE

STEP 4: Solve for y

now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y

-13y= 13

y= 13/-13

y= -1

STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation

ORIGINAL EQUATION: 3x-2y=4

3x-2(-1)=4

3x-2=4

x= 6/3

x= 2

NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER

Answer:

x=2, y=1

Step-by-step explanation:

3x-2y=4

2(3x-2y)=2(4)

6x-4y=8

2x+3y=7

3(2x+3y)=3(7)

6x+9y=21

6x+9y-(6x-4y)=21-8

6x+9y-6x+4y=13

13y=13

y=13÷13

=1

3x-2y=4

3x-2(1)=4

3x=4+2

=6

x=6÷3

=2

Hence, x=2 and y=1.

What is
(1/2)^2- 1/2 -6








.

Answers

Answer:

-6.25 tI am not sure if this can help you but this is what I got

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