Evaluate.
8 8/7 + (7 5/6 - 2 1/3)
Enter your answer as a mixed number in simplest form by filling in the boxes.

(Giving away brainliest, 5 stars and a thanks for whoever answers first with the correct answer)

Answers

Answer 1

Evaluate:- 8 8/7 + (7 5/6 - 2 1/3)

⟼ (63+7)/7 + [(42+5)/6 - (6+1)/3

⟼70/7 + [47/7 - 7/3]

⟼ 70/7 + [(141- 49)/21]

⟼ 70/7 + [92/21]

⟼ 70/7 + 92/21

Now, take the LCM of 7 and 21 is 21.

so,

⟼ (210 + 92)/21

⟼ 302/21 or 14(8/21) Ans.

Read more:

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Related Questions

Parallelogram has a base of 9 and height of two thirds what is the area

Answers

Answer:

Area or parallelogram = base * height

Area = 9 units * 2/3 units

Area = 9/1 * 2/3 square units

Area = 18/3 square units

Area = 6 square units

Answer: area = 6 square units

a factory made 39 jars of creamy peanut butter and 61 jars of chunky peanut butter. what percentage of the jars of peanut butter were creamy?

Answers

Answer:

39+61= 100 total peanut butter jars

39 out of 100 is 39%

Step-by-step explanation:

Therefore 39% of the peanut butter jars were creamy.

The length of one base of a trapezoid is 7mm less than twice the length of the other base. The height of the trapezoid is 12mm. The area of the trapezoid is 48 square mm. Find the length in millimeters of the longer base. (Please show step by step)

Answers

Answer:

The length of the longer base is 5mm.

Step-by-step explanation:

The area of a trapezoid:

[tex]A=\frac{1}{2}h(b_1+b_2)[/tex]

With the given information, we can write some equations to represent the problem:

[tex]b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)[/tex]

There's only 2 equations and 2 variables, so it's a relatively simple system of equations to solve. Ill solve by substitution:

[tex]b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)\\\\48=\frac{1}{2}(12)((2b_2-7)+b_2)\\48=(6)(3b_2-7)\\48=18b_2-42\\18b_2=90\\b_2=5[/tex]

Now, plug that back into the first equation to solve for the other variable:

[tex]b_2=5\\b_1=2b_2-7\\\\b_1=2(5)-7\\b_1=10-7\\b_1=3[/tex]

Now we have the measures of both of the bases.

the longer base = 5mmthe shorter base = 3mm

To check that, calculate the area using these bases:

[tex]A=\frac{1}{2}(12)(3+5)\\A=6(8)\\A=48[/tex]

It works fine.

Evaluate f(-3), f(7), f(0), and f(z).
f(x) = –2x + 3

Answers

f(-3)=9 f(7)=-11 f(0)=3

what fraction is shown on the number line

2/12
10/12
12/2
2/2

Answers

As there are 12 divisions denominator will be 12 only.

While the dot is in second line so numerator is 2.

So, answer is [tex]⇒ \frac{2}{12} \\ [/tex]

A map has a scale of 1:5000 cm, On the map a rectangle plot of land measures 30.5 cm and 23.5 cm.
what is the actual perimeter of the plot of land in meters?

please explain and answer the question correctly ☺ thank you.

Answers

Answer:

5,400 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(l+w)

2(30.5+23.5) = 54

54 · 5,000 = 540,000 cm

540,000 cm = 5,400 m

I hope this helps!

what property is (-9+2) x 0=0

Answers

Answer:

ZERO MULTIPLICATION PROPERTY

Step-by-step explanation:

Anything multiplied by 0 is 0

Zero multiplication property

Find the slope:
Find the slope:

Answers

Hello, there.

To find the slope of a line, first you need to make sure which points this line passes through:

The slope [tex]m[/tex] of a line, passing through the points [tex](x_0,~y_0)[/tex] and [tex](x_1,~y_1)[/tex] is given by the formula [tex]m=\dfrac{y_1-y_0}{x_1-x_0}[/tex].

As we can see in the graph, this lines passes through the points [tex](0,~1)[/tex] and [tex](1,~3)[/tex], such that we can substitute these values on the formula to find its slope:

[tex]m=\dfrac{3-1}{1-0}[/tex]

Subtract the values in both numerator and denominator

[tex]m=\dfrac{2}{1}=2~~\checkmark[/tex]

This is the slope of this line.

Answer:

m=2

Step-by-step explanation:

use

[tex]y^2/x^2 - y^1/x^1[/tex]

What’s the slope of the black line

Answers

Answer:

Slope= - 1/2

Step-by-step explanation:

What are the partial products of 8.6 x 9.2

Answers

Answer:

79.12

Step-by-step explanation:

1st number has 1 decimal places.

2nd number has 1 decimal places.

So 2 decimal places will apper in the final answer.

× 80 6 sum

90 7200 540 7740

2 160 12 172

sum 7360 552 7912

Remember the decimal places!

Final answer: 79.12

3. Write the ratio of cats to dogs as a fraction in simplest form: then explain its meaning.

Answers

Answer:

4:3

Step-by-step explanation: Im not sure how to explain but i know thats the answer:)

What is the slope of the line through (-3, 3) and (-1,-1)?​

Answers

Answer:

(-2,-4)

Step-by-step explanation:

To find the slope you count down the units on the grid from one point to the other.

Or in this case, -3 minus -1 is -2.

3 minus -1 is -4

Therfore the slope for the line with points (-3, 3) and (-1,-1) is (-2,-4)

Describe the relationship between and using geometric terms.

Answers

Answer:

Geometric Relationships. Geometric relationships control the orientation of an element with respect to another element or reference plane. For example, you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements.

Please help me please help help me help please

Answers

Answer:

An equation of a line is written in the form y=mx+b. ”m” is the slope and ”b” is the y-intercept. So, substituting the values, the equation is y=-4x+1.

:)

It’s for pre college

Answers

Answer:

the slope is -5/3

Step-by-step explanation:

Find slope of the line using the formula: slope= difference between vertical changes / difference between horizontal changes= (-9-1) / 2-(-4) = -10/6=-5/3

Answer:

19) slope = undefined

20) slope = [tex]\mathsf{-\frac{5}{3} }[/tex]

Step-by-step explanation:

19) Graph of a vertical line

Given the graph of a vertical line, with coordinates of (-2, 3) and (-2, -3):

Since the formula for solving the slope of a line is given by:

[tex]\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

This implies that a vertical line has no horizontal change. Therefore, the value of the denominator in the given formula will be: x₂ - x₁ = 0.  This division by zero is an undefined operation, hence the slope of a vertical line is undefined.  

20) Find the slope of a line through the given pair of points.

Given the coordinates, (2, -9) and (-4, 1), substitute these values into the following slope formula:

[tex]\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (2, -9)

      (x₂, y₂) = (-4, 1)

Substitute these values into the given formula:

[tex]\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\mathsf{m = \frac {1\: -\: (-9)}{-4\: -\:2}\:=\:\frac {1\: +\:9}{-6}\:=\:\frac{10}{-6}\:=\:-\frac{5}{3}}[/tex]

Therefore, the slope of the line is,  [tex]\mathsf{m\:=\:-\frac{5}{3} }[/tex].

How much will you have in the bank if you invested $500 for four years at 3% interest,
compounded annually?

Answers

Answer:

You will have $560 in the bank after 4 years.

Step-by-step explanation:

So we have the principal, rate and the time, we need to find the interest.

All we have to do is multiply the principal by the rate, and then the product of P×R by the time.

But first, we need to convert the rate into a decimal, so:

500 × 0.03 = 15

15 × 4 = 60

7. the perimeter of a triangle is 80cm. write and simplify an equation to solve for x.

Answers

Answer:

X = 18

Step-by-step explanation:

(x+3)+(x+3)+(3x-16) = 80

5x-10 = 80

5x = 80+10

5x = 90

x = 90/5

x = 18

hope that helped!

Which is equivalent to
x?
X
- 10
1 1
X+-X
8 8
o
100
X +
8
100
o
1
88
100
100
1
1
2x + x

Answers

Step-by-step explanation:

[tex] = \frac{1}{4} x[/tex]

[tex] = \frac{1 \times 2}{4 \times 2}x [/tex]

[tex] = \frac{2}{8} x[/tex]

[tex] = \frac{1 + 1}{8} x[/tex]

[tex] = \frac{1}{8} x + \frac{1}{8} x[/tex]

[tex] \: [/tex]

Option → A

Answer:

1/8x + 1/8x

Step-by-step explanation:

First Option

Identify the set of ordered pairs that represents y as a function of x.
{(0, 0), (1, 1), (2, 3), (3, 3)}
{(0, 0), (0, 1), (2, 3), (3, 4)}
{(1,0), (2, 0), (3, 3), (3, 4)}
2,0)3
{(-1,0), (1, 0), (3, 0), (3, 4)}
Please help asap

Answers

I’m pretty sure it’s A

What is 8 82% expressed as a fraction? 8 8 100 7. 80 7 40 8 8. 25. look at pic. plx ​

Answers

Answer:

7/80

so basically;

convert 3/4 to a decimal = 0.75

8.75% and convert to fraction = 7/80.

9514 1404 393

Answer:

  (b)  7/80

Step-by-step explanation:

As a decimal

  8 3/4% = 0.0875 = 875/10000 = (125×7)/(125×80) = 7/80

__

As a fraction

  8 3/4% = (8 3/4)/100 = (35/4)/100 = 35/400 = 7/80

_____

Additional comment

The symbol % is fully equivalent to the division /100. That is why we can replace (8 3/4)% with (8 3/4)/100.

possible answers: 1, -1, - 1/7, -2

Answers

Answer:

B it's -1 and the reason why I know is because trust me

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{3^2 - 2^3}{3\times5-4^2}}[/tex]

[tex]\mathsf{= \dfrac{9 - 8}{3\times5-4^2}}[/tex]

[tex]\mathsf{= \mathtsf{\dfrac{1}{3\times5-4^2}}}[/tex]

[tex]\mathsf{= \dfrac{1}{15 - 4^2}}[/tex]

[tex]\mathsf{= \dfrac{1}{15 - 16}}[/tex]

[tex]\mathsf{= \dfrac{1}{-1}}[/tex]

[tex]\mathsf{\rightarrow 1\div -1}[/tex]

[tex]\mathsf{= -1}[/tex]

[tex]\huge\boxed{\star\text{Therefore, your answer is: \boxed{\mathsf{Option\ B. -1} \ }}\star}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Jane invests $5,757 in an account that earns an annual interest rate of 2%. What will be the balance of the account in 16 years if the interest is compounded continuously?

Answers

Answer:

C

Hope it helps you, tell me if im wrong pls, be safe :D

The balance of the account in 16 years if the interest is compounded continuously will be $7,599.24.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

It is given that, Jane invests $5,757 in an account that earns an annual interest rate of 2%.

We must first divide "2%" by the principal ($5,757) to get a decimal, which we must then multiply by. So:

5,757 × 0.02 = 115.14

Then we multiply the product of P×R by the time, 16 years. So:

115.14 × 16 = 1,842.24

We now add the principle to our finished product. So:

5,757.00 + 1,842.24 = $7,599.24

Thus, the balance of the account in 16 years if the interest is compounded continuously will be $7,599.24.

Learn more about compound interest here:

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The masses
m
i
are located at the points
P
i
. Find the center of mass of the system.
m
1
=
1
,
m
2
=
2
,
m
3
=
3
.
P
1
=
(
7
,
8
)
,
P
2
=
(

6
,

2
)
,
P
3
=
(

8
,
5
)
.

Answers

Answer:

XD this is so ez u dont need brainly for this

Step-by-step explanation:

5

i needdd help please ​

Answers

Answer:

3

Step-by-step explanation:

At Handy Hardware Shop's annual spring-cleaning sale, every ratchet set in the shop gets marked down. Austin purchased 2 ratchet sets during the sale: one for himself and one to give to his dad on Father's Day. Each ratchet set cost $8 less than its full price. He paid a total of $56. What is the cost of each ratchet set at full price?

Answers

Answer:

answer is 36

Step-by-step explanation:

The cost of each ratchet set at full price was $36.

Given that in a sale a ratchet set cost $8 less than its full price. Austin paid a total of $56.

We to find the cost of each ratchet set at full price,

Let's denote the cost of each ratchet set at full price as "x" dollars.

According to the information given, each ratchet set was marked down by $8, so their sale price would be (x - $8) dollars each.

Austin purchased 2 ratchet sets, so the total cost of his purchase would be:

2 (x - $8) = $56

Now we can solve for "x":

2 (x - $8) = $56

2x - $16 = $56

2x = $56 + $16

2x = $72

x = $72 / 2

x = $36

So, the cost of each ratchet set at full price was $36.

Learn more about Marked price click;

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(a) Pei has x dollars, when she passed her exam, her dad doubled her money and mum gave another $10. Altogether she got $100. i) Write a mathematical equation for this.​

Answers

Answer:

a: (x2)+10 = 100

Step-by-step explanation:

and if you need an answer, x = 45

Logan takes 8.95 minutes to run 1 mile.

How long will it take him to run 4.85 miles?

Enter your answer as a decimal in the box.

Answers

Answer:

It will take him 39.0425 ≈ 39 minutes to run 4.85 miles.

Step-by-step explanation:

All we have to do is multiply 8.05 by 4.85. So:

8.05 × 4.85 = 39.0425

Answer:

43.40minutes

Step-by-step explanation:

8.95*4.85=43.4075

if this is correct can i get brainliest

Five people bought raffle tickets,
They bought 8 tickets each. How
many raffle tickets did they buy in all?

Answers

Answer:

[tex]\pink{\rule{1pt}{900000pt}}[/tex]

Answer:

40 tickets because, you multiply 8 and 5  so you get 40.

Step-by-step explanation:

WRITE AN EQUATION IN SLOPE INTERCEPT FORM FOR THE PERPENDICULAR TO Y=2X-3 Y=2X-3 PASSES THOUGH THE POINT (-3,-3)

Answers

Step-by-step explanation:

The slope of the line [tex]y = 2x - 3[/tex] is 2, which means that a line perpendicular to this will have a slope equal to its negative reciprocal or [tex]m = -\frac{1}{2}.[/tex] So we can write the slope-intercept form of the line's equation as

[tex]y = -\frac{1}{2}x + b[/tex]

To find the value of b, we use the value of the given point (-3, 3):

[tex]\Rightarrow 3 = -\frac{1}{2}(-3) + b[/tex]

Solving for b, we get

[tex]b = \frac{3}{2}[/tex]

Therefore, the slope-intercept form of the equation for the perpendicular line is

[tex]y = -\frac{1}{2}x + \frac{3}{2}[/tex]

Mr. Smith asked his students whether they prefer to go to the museum or the zoo for a field trip. He found that 35% of the students prefer to go to aa museum, 45% prefer to go to the zoo, and the rest have no preference. What is the Ratio of students who have no preference to the students who prefer to go to the museum?

Answers

Answer: The answer is C 4:7

Step-by-step explanation:

Hopes this helps

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