Fill in the blanks to explain how Harry can check whether his solution is correct

Answer:

Step-by-step explanation:

1. Add: 2 1/4 + 3 2/3 = 5 11/12

2. Subtract: 6 11/12 - 5 11/12 = 1

So, 6 11/12 - (2 1/4 + 3 2/3) = 1

By Solving the given expression 6( 11/12) - (2 (1/4) + 3 (2/3)) the final answer will be 4(1/2).

By using the concept of arithmetic to solve a subtraction problem involving mixed numbers. We'll break down the steps for you, starting with the operation inside the parentheses, and then proceed to find the final result. Let's get started!

To solve 6(11/12) - (2 (1/4) + 3 (2/3)), we need to tackle the operation inside the parentheses first.

First, let's simplify the addition inside the parentheses:

2(1/4) + 3(2/3)

To add these mixed numbers, we need to find a common denominator. In this case, the least common multiple of 4 and 3 is 12. So, we'll convert both fractions to have a denominator of 12.

2(1/4) can be rewritten as

= 2 * 3/12 + 1 * 3/12

= 6/12 + 3/12

= 9/12

3(2/3) can be rewritten as

= 3 * 4/12 + 2 * 4/12

= 12/12 + 8/12

= 20/12

Now, our expression becomes:

6(11/12) - (9/12 + 20/12)

Next, let's add the fractions inside the parentheses:

= 9/12 + 20/12

= 29/12

Now, our expression becomes:

6 (11/12) - 29/12

To subtract the fractions, we again need a common denominator, which is 12 in this case.

6(11/12) can be rewritten as

= 6 * 12/12 + 11/12

= 72/12 + 11/12

= 83/12

Finally, we have:

83/12 - 29/12

Subtracting the fractions, we get 54/12.

Now, we simplify the result to a mixed number:

54/12 is equivalent to 4(6/12), which can be further reduced to 4(1/2).

So, the final answer is 4(1/2).

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Answer:

what you would do would be all those coordinates times by 2/3 than add 6 to the x intercept

Answer:

$3.75

Step-by-step explanation:

Change 15% to a decimal by moving the decimal two places left.

15% = 0.15

Multiply

$25 x 0.15 = $3.75

The tip given by Tiana to the server is of $3.75 .

Given, that Tiana's bill is of $25 .

Total bill = $25

Tip to the server = 15%

Convert percent to fractions,

15% ⇒ 15/100

15% ⇒ 0.15

The tip is 15% of the total bill .

So, rewrite in form of equation,

15% of $25

= 0.15 × 25

= $3.75

Thus the tip to the server is of $3.75 .

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Answer:

B. Second Graph

Step-by-step explanation:

The first point is (2, 3) so we could cross out answers A, C, D. Because they don't have (2, 3). The rest of the points are (4, 6); (6, 9); and (8, 12). They all match up with the second graph.

Answer:

That would be 180°(angle of a straight line)-105°= 75°

Answer:

x=75

Step-by-step explanation:

1. 105+x=180?           step1: subtract 105 on both sides

2. x=75

Answer:

90ft^2

Step-by-step explanation:

If she was trying to make it 4 times bigger is multiply the length or the width by a factor of 4

If the starting measurements were

5ft long and 4 1/2 feet wide you simply multiply the two

5 x 4.5 = 22.5 ft

Then when trying to make it 4 times bigger multiply your answer by 4

22.5 x 4 = 90ft^2

I belive its 15

Hope this helped.

Answer:

B<7.8743589

Step-by-step explanation:

Answer:

b < 3071/390

Step-by-step explanation:

1) Multiply both sides by 100 :      3.9b x 100 + 3.29 x 100 < 34 x 100

2) Refine :      390b + 329 < 3400

3) Subtract 329 from both sides :      390b + 329 - 329 < 3400 - 329

4) Simplify :        390b < 3071

5) Divide both sides by 390 :       390b/390 < 3071/390

6) b < 3071/390

Answer:

1) f=650    2) a=16   3) d=91

Step-by-step explanation:

1) To make f=...

We can multiply both sides by 26

f=26×25

f=650

2) To make a=...

We can divide both sides by 5

a=80÷5

a=16

3) To make d=...

We can times both sides by 7
d=13×7

d=91

Answer:

Top: d[tex]\leq[/tex]100    Bottom: t<45

Step-by-step explanation:

Top:  d is the distance to the exit door and it is no more than 100

Bottom: You must get under 45 minutes

Answer:

c is the correct option

Answer:

It would be d. 215,483 cm³

Step-by-step explanation:

Using the formula for volume of a cylinder which is πr²h and using 3.14 instead of π, we can put the numbers in.

3.14 (15²) (305) = 215,483

r = 15 because to get the radius you have to divide the diameter by 2.

Answer:

  (a)  none

Step-by-step explanation:

You want to know how many triangles can be formed from segments of lengths 1.6 m, 2.9 m, and 4.7 m.

The triangle inequality requires the sum of the two shorter segments exceed the length of the longest one.

  1.6 + 2.9 > 4.7

  4.5 > 4.7 . . . . . . . not true — no triangle can be formed

These segments will form no triangles.

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Answer:

it is discrete

Step-by-step explanation:

you can't sell half a ticket at a movie

Answer:

the person above is right I think

Step-by-step explanation:

Answer:

Where is the table?

Step-by-step explanation:

We need the table to to answer this

Answer:

Step-by-step explanation

Answer:

x(b) or b(x)

Step-by-step explanation:

x for the number of people who suggested.

b for the number of bracelets given.

The bracelets are not needed in this equation because they do not relate the the total amount of donations collected.

let's first introduce some variables:

let p= the number of people

let d= the suggested amount of of donation

equation:

number of people × suggested amount of donation

d×p

Answer:

3:5 = 6: 10

Step-by-step explanation:

(3/5) × (2/2) = (3 × 2) / (5 × 2) = 6/10

Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is the reason why these fractions get reduced to the same number when they are simplified.

Let us understand the two ways in which we can make equivalent fractions:

Multiply the numerator and the denominator by the same number, or,

Divide the numerator and the denominator by the same number.

Hey there! 

3:5 

= 3 × 2 : 5 × 2

= 6 : 10

Therefore, your answer is: 6 : 10

Good luck on your assignment & enjoy your day! 

~Amphitrite1040:)

Answer:

D is your answer i think it is

Answer:

B = The range is greater than the mean.

Step-by-step explanation:

Answer:

25.2 pounds

Step-by-step explanation:

136 multiplied by .185 = 25.16

25.16 to the nearest tenth is 25.2

Answer:

4/5

Step-by-step explanation:

the area of rectangle is length × breadth

length = 2 2/5 breadth = 1/3

2 2/5 × 1/3 = 12/15

reducing to tge lowest term =4/5

Answer:

4/5

explanation:

I hope this helps have a very nice day

Answer:

60

Step-by-step explanation:

look at the temperature on the bottom of the graph and find the line between 8 and 12 which will be 10, then go straight up till you reach a point and that point is 60

Answer:

19.4

Step-by-step explanation:

23.8-4.4=19.4

Answer:

h+(h-1.5)=25

Step-by-step explanation:

hard to explain but i practice this

Answer: 12%

Step-by-step explanation:

Total number of people in 6th grade: 70+80 = 150

Total numbers of lefties: 11 + 7 = 18

Percent:

18 ÷ 150 = 0.12

0.12 x 100 = 12

Answer:

12%

Step-by-step explanation:

80+70=150 which is the whole

11+7= 18 which is the part

The equation is

Part= Percent x Whole

18= % x 150 or 18 divided by 150 is

.12 or 12%

hope this helps

Answer:

(8,0)

Step-by-step explanation:

y= 0.50x - 4

y= -0.25x + 2

I changed it to make it:

0.25x + y = 2

-0.50x + y = -4

--

We subtract the y's and every equation to cancel out the y.

0.25x - (-0.50x) = 0.75x

2-(-4)=6

0.75x = 6

x = 8.

Plug the x into either equation. We'll do the first eqn.

0.25(8)+y=2

2 = y = 2

y = 0.

(8,0).

Answer:

x = 8, y = 0

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y=\dfrac{1}{2}x-4&\\y=-\dfrac{1}{4}x+2\end{cases}[/tex]

First, substitute the first equation into the second:

[tex]\implies \dfrac{1}{2}x-4=-\dfrac{1}{4}x+2[/tex]

SOLVE FOR X.

Step 1: Multiply both sides by [tex]4[/tex] and simplify.

[tex]\\\implies 4\left(\dfrac{1}{2}x\right)-4(4)&=4\left(-\dfrac{1}{4}x\right)+2(4)\\\\\implies \dfrac{4}{2}x-16=-\dfrac{4}{4}x+8\\\\\implies 2x-16=-x+8[/tex]

Step 2: Add (1)[tex]x[/tex] to both sides.

[tex]\\\implies 2x + x-16=-x+x+8\\\\\implies 3x-16=8[/tex]

Step 3: Add [tex]16[/tex] to both sides.

[tex]\\\implies3x-16+16=8+16\\\\\implies 3x=24[/tex]

Step 4: Divide both sides by [tex]3[/tex].

[tex]\\\implies \dfrac{3x}{3}=\dfrac{24}{3}\\\\\implies \boxed{x=8}[/tex]

SOLVE FOR Y.

Step 1: Substitute [tex]8[/tex] as the value of [tex]x[/tex] in any of the given equations.

[tex]\\\implies y=\dfrac{1}{2}(8)-4[/tex]

Step 2: Simplify.

[tex]\\\implies y=4-4\\\\\implies \boxed{y=0}[/tex]

The solution to this system of equations is (8,0).

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Answer: You would swap the ineqaulity

Step-by-step explanation:

Multiplying or dividing both sides by a negative number reverses the inequality. This means < changes to >, and vice versa. For example, given that 5 < 8 we can multiply both sides by 6 to obtain 30 < 48 which is still true.

Answer: 2.18

Step-by-step explanation:

you can use subtraction

Answer:

the answer is 2.18oz

Step-by-step explanation:

6.4oz - 4.22oz = 2.18oz