Write a word problem that could be solved by the equation in problem 8 .
3 1/2 [tex]3 1/2 divided by 7/8= 7/2*8/7= 56/14 =4[/tex]

Answers

Answer 1

The word problem is " In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there".

The given expression is 8÷2/3

We need write a word problem which is solved by the above expression.

Word problem : In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there.

Solution

[tex]x[/tex]* × 2/3 =8

Divide both sides by 2/3.

x=8/2/3

x= 8×3 / 2

x= 12

Therefore, the total number of students is 12.


Related Questions

note that one movable point always defines an extremum point

Answers

Answer:

And

Step-by-step explanation:

Noted Sir. Thanks A Lot 2 U

IF A= { a, b, c d and B={a,b,c,d}
how can I solve this

Answers

Answer:

what we have to prove or equation ?

PLS HELP WILL MARK AS BRAINLIEST ​

Answers

Answer:

SEE THE IMAGE FOR SOLUTION .

HAVE A GREAT DAY

Answer:

11. D

12. C

13. D

14. B

15. E

Step-by-step explanation:

11.

1/3 + 1/2 = 2/6 + 3/6 = 5/6

A is 3/4

B is 2/3

C is 9/10

D is 4/5

E is 2/5

the closest to 5/6 is 4/5.

12.

this is totally easy. just simply additions and one subtraction (to see what is left).

8+10+9 = 27

so, he has

60 - 27 = 33 hours left

13.

the mean value of a series of equal weighted numbers is simply their sum divided by the amount of numbers.

so,

(2+5+3+6+4)/5 = 20/5 = 4

14.

a scale factor is always applied to all dimensions, otherwise the result will be distorted. and that would be especially bad for a map.

so, clearly the width of the larger map is 3 times the width of the smaller map. therefore, the length of the larger map has to be also 3 fine the length of the smaller map.

3×6 = 18

15.

3t - 10 = 8

3t = 18

t = 6

Only answer number 37.

Answers

Step-by-step explanation:

Use the distance formula:

(x2, y2) with (x1, y1)

[tex] d \: = \sqrt{( x2 \: - \: x1) {}^{2} \: + \: (y2 \: - \: y1) {}^{2} } [/tex]

Find the lengths of each segment one at a time.

For AC:

A(-3,8) C(0,2)

[tex]d = \sqrt{( - 3 - 0) {}^{2} + (8 - 2) {}^{2} } [/tex]

[tex]d \: = \sqrt{9 + 36} [/tex]

[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]

For BC:

B(6,5) C(0,2)

[tex]d \: = \sqrt{(6 - 0) ^{2} + (5 - 2) {}^{2} } [/tex]

[tex]d \: = \sqrt{36 + 9} [/tex]

[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]

For CD:

C(0,2) D(2,-4)

[tex]d \: = \sqrt{(0 - 2) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]

[tex]d \: = \sqrt{4 + 36} [/tex]

[tex]d \: = \sqrt{40} = 2 \sqrt{10} [/tex]

With all the segment lengths found, we can conclude that segments AC and BC have the same lengths.

Cuanto da √(1 ÷ 6^2 - 1 ÷ 10^2)

Answers

Answer:

It is 2/15

Step-by-step explanation:

[tex] = \sqrt{ \frac{1}{ {6}^{2} } - \frac{1}{ {10}^{2} } } \\ \\ = \sqrt{ \frac{4}{225} } \\ \\ = \frac{ \sqrt{4} }{ \sqrt{225} } \\ \\ = \frac{2}{15} [/tex]

Amy owes her mother $76. She pays her mother $14 on Sunday and $24 on Monday. Use an expression to describe the situation. How much does Amy still owe her mother?

Answers

Answer:

Amy still owes her mother $38.

Step-by-step explanation:

76 - 14 - 24

76 - 14 = 62

62 - 24 = 38

Show work please

[tex] \sqrt{ \frac{45}{5} } [/tex]

Answers

Answer: 3

Step-by-step explanation:

[tex]\sqrt{ \dfrac{45}{5}} =\sqrt{9}=\bold3[/tex]

Answer:

3

Step-by-step explanation:

We don't really need to simplify this, but if you do:

45/5 is the same as 45 ÷ 5 so

45/5 = 9

Now we have to find the square root of 45/5(or 9). The square root of a number(x for example) is the number(y) that multiplied by itself once will equal x or y · y = x.

For this you can use a calculator:

[tex]\sqrt{\frac{45}{5} }[/tex] = 3

or

[tex]\sqrt{9}[/tex] = 3

A rectangle has perimeter 56 cm and length 21 cm. What is its width?

Answers

answer the answer is 7.

hhhhhhhhhhh

Answer:

width=7 cm

Step-by-step explanation:

perimeter=2(lengths+width)

        56   =2(21+x)

         56  =42+2x

   56-42  =2x

        2x    = 14

            x   =7    

therefore the width=7 cm

need some help with 8th grade math

Answers

Answer:

D = (3,3)

E = (-5,0)

F = (-2,2)

Step-by-step explanation:

the y axis is the vertical line of the graph so an example of flipping would be (-3,5) turns to (3,5) changing only the x value same the other way around (5,-9) turns to (-5,9) only the x value changes symbol

Answer:

D1 = (3, 3)     E1 = (-5, 0)      F = (-2, -2)

Step-by-step explanation:

D1 = (3, 3)

E1 = (-5, 0)

F = (-2, -2)

Refer to the number line. Find the coordinate of point H that is 1/5 of the distance from C to F.
A B C
DEF
-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7

Answers

Number lines are used to represent numbers on a line at regular intervals. The coordinate of point H is -2.2

From the number line, we have:

[tex]C = -4[/tex]

[tex]F = 5[/tex]

First, we calculate the distance between C and F using absolute functions

[tex]CF = |C - F|[/tex]

[tex]CF = |-4- 5|[/tex]

[tex]CF = |-9|[/tex]

Remove absolute bracket

[tex]CF = 9[/tex]

Point H is [tex]\frac 15[/tex] of the distance so, we have:

[tex]H = \frac 15 CF[/tex]

[tex]H = \frac 15 \times 9[/tex]

[tex]H = 1.8[/tex]

This means that point H is 1.8 from the right of C.

So, the coordinate of H is:

[tex]H = C + 1.8[/tex]

[tex]H = -4 + 1.8[/tex]

[tex]H = -2.2[/tex]

Hence, the coordinate of point H is -2.2

Read more about number lines at:

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A(-2,3)
Triangle ABC has vertices at A(-2,3), B(-3,6), and
C(2,-1) Is triangle ABC a night triangle? If so, which
angle is the night angle?
O No, the triangle has no right angles.
O Yes, the right angle is angle A
O Yes, the right angle is angle B
O Yes, the right angle is angle C
VA
C (2-1)
B (-3,-6)

Answers

second choice i’m prolly wrong

A boy is 12 years old his mother is four times as old as he is in x years time the mother will be three times as old as. the son form an equation in x and hence find x




plzzzzzzz help ​

Answers

Answer:

age of boy = 12

age of mother = 4 times age of boy = 4*12 = 48

let x = years time

3(12+x) = 48+x

36+3x = 48+x

3x-x = 48-36

2x = 12

x = 6

In 6 years time the mother will be three times as old as the son.

pleasexmark me as brainlist

What is the slope of the given graph?

Answers

Answer:

Looks like it's 1.

Step-by-step explanation:

Since it is a positive slope and it goes up 1 unit, the slope is 1.

express each of the following in standard form 0.000000000221​

Answers

Answer:

[tex]2.21 \times {10}^{ - 10} [/tex]

Step-by-step explanation:

When we shift (.) from left to right in scientific notarion, the power of 10 varies in negative numbers according to how many numbers we shift.

Amaya wants to jog 8 Miles this week she has jog 2 1/2 miles on Monday and 3 2/5 miles on Wednesday how many miles does amaya still need to jog to meet her goal​

Answers

Answer:

2 1/10 miles.

Step-by-step explanation:

She has already jogged 2 1/2 + 3 2/5 miles.  This is 2 5/10 + 3 4/10 or 5 9/10.  8 miles is also equal to 7 10/10 miles.  So, to find the remaining amount of miles, we can do 7 10/10 - 5 9/10 = 2 1/10.

Amaya still needs 2.1 miles to jog to meet her goal​.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Operators who let do basic mathematical calculations.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that this week she has jog 2 1/2 miles on Monday and 3 2/5 miles on Wednesday

She has already jogged 2 1/2 + 3 2/5 miles.  

⇒ [tex]2\dfrac{1}{2} + 3\dfrac{2}{5} = \dfrac{5}{2} + \dfrac{17}{5}[/tex]

Convert fractions into decimals,

⇒ 2.5+3.4

Apply the arithmetic operation,

⇒ 5.9

So, to find the remaining amount of miles,

⇒ 8 -5.9 = 2.1

Hence, Amaya still needs 2.1 miles to jog to meet her goal​.

Learn more about Arithmetic operations here:

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#SPJ2

what is six over seven times two and three over fourteen?​

Answers

The answer is 72 if you mean two multiplied by three by fourteen

 and seven is equal to six times a number.

Word problems can be tricky no matter what level of math or science you are in.

First look at the question for words that indicate mathematical symbols.

"times" indicates multiplication

"and" indicates addition

"a number" means we have a variable, x, to solve for

Now we can go from left to right and write it in a mathematical equation

7x + 7 = 6x

Then, solve for x

7x + 7 = 6x

7 = 6x - 7x

7 = -1x

7/-1 = x

x = -7

Finally, we check our work.

7x + 7 = 6x

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42 √

 

The answer is x = -7

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Parviz F. answered • 02/11/14

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 First thing you do in word problems : choose a variable for unknown, what problem is asked you to find.

 

       n    the number

     

       7n     7 times the number

 

        7n + 7       7 times the number and 7

 

      Then the problem says it is equal  6n , make the equation

 

       7n + 7 = 6n

 

       and solve:

 

        7n - 6n = -7

 

         n = -7  / is the answer

 

      

 

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KERITHA C. answered • 02/25/18

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If 1 is added to seven times a number, the result is equal to 2 more than six times the number. Find the number.

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Rodney S. answered • 02/16/14

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Seven times a number and seven is equal to six times a number.

 

Step 1:  Translate the verbal to Algebra.

 

7x + 7 = 6x.  ("And" means addition if no other operation is present.)

 

Step 2:  Solve for x.

 

7x - 6x + 7 = 6x - 6x.      (subtract 6x from both sides)

 

1x + 7 = 0.             (Simplify)

 

1x + 7 - 7 = 0 - 7.      (subtract 7 from both sides)

 

1x = -7.             (Simplify)

 

1x/1 = -7/1.        (Divide both sides by 1)

 

x = -7.              (Simplify)

 

Step 3:  Check 7 times the number -7 and 7 is equal to six times the number -7.

 

7(-7) + 7 = 6(-7)

 

-49 + 7 = -42

 

-42 = -42.   (Both sides are equal!)

 

The number again is -7.

 

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Vivian L. answered • 02/10/14

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Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH

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Hi Alyson;

7x+7=6x

Let's subtract 7x from both sides...

7x+7-7x=6x-7x

7=-x

Let's multiply both sides by -1...

(-1)(7)=(-1)(-x)

-7=x

Let's check our work...

7x+7=6x

[(7)(-7)]+7=(6)(-7)

-49+7=-42

-42=-42

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Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{3}{6}=\dfrac{9}{18}=\dfrac{27}{54}[/tex]

[tex]\dfrac{3*3}{6*3}=\dfrac{9}{18}\\\\\\\dfrac{3*9}{6*9}=\dfrac{27}{54}[/tex]

How many significant figures does 4857.169 have?

Answers

Answer:

Significant Figures

   7

   4857.169

Decimals

   3

   4857.169

Scientific Notation

   4.857169 × 103

E-Notation

   4.857169e+3

Words

   four thousand eight hundred fifty-seven point one six nine

Explanation: Mark Brainliest plz

Answer:

plz mark me as a brainliest i really need it

Step-by-step explanation:

4857.169

Sig Figs

7

4857.169

Decimals

3

4857.169

Scientific Notation

4.857169 × 103

E-Notation

4.857169e+3

Words

four thousand eight hundred fifty-seven point one six nine

2= 2.27- m/4

How do I do this?! I need this for mathematics homework!

Answers

Answer:

1.08 = m

Step-by-step explanation:

2= 2.27- m/4

Subtract 2.27 from each side

2-2.27= 2.27-2.27- m/4

-.27 = -m/4

Multiply each side by -4

-.27 * -4 = -m/4 *-4

1.08 = m


If PQ = 6x - 1 and PR = 15x - 29,
then QR = ?

Answers

Answer; QR = 9x - 28

Explanation:

PR - PQ = QR
15x - 29 - 6x + 1 = QR
9x - 28 = QR

The size of a population of fish in a pond is modeled by the function P, where P(t) gives the number of fish and t gives the number of years after the first year of introduction of the fish to the pond for 0≤t≤10. The graph of the function P and the line tangent to P at t=4 are shown above. Which of the following gives the best estimate for the instantaneous rate of change of P at t=4 ?

Answers

The slope (m) will be "279.33". A further solution to the question is provided below.

At one moment this same instantaneous modification rate would be the same with the functionality derivative assessed somewhere at the time. In certain other terms, the pitch of such tangent line towards the curvature is somewhere at a level equivalent to that as well.

According to the question,

(x₁, y₁) = (3, 0)(x₂, y₂) = (6, 838)

As we know,

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

By substituting the values, we get

⇒                  [tex]=\frac{838-0}{6-3}[/tex]

⇒                  [tex]=\frac{838}{3}[/tex]

⇒                  [tex]=279.33[/tex]

Learn more:

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The instantaneous rate of change is the rate of change at a particular point or instant in the graph. The instantaneous rate of change of P at [tex]t=4[/tex] is 250

I've added as an attachment, the graph that represents the population of the fish.

To determine the instantaneous rate of change at [tex]t=4[/tex], we simply calculate the slope (m) of the tangent line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Because of the scale of the graph, I will use the following estimated points from the tangent line

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (4,250)[/tex]

So, the slope is:

[tex]m = \frac{250 - 0}{4 - 3}[/tex]

[tex]m = \frac{250}{1}[/tex]

[tex]m = 250[/tex]

Hence, the instantaneous rate of change of P at [tex]t=4[/tex] is 250

Read more about instantaneous rate of change at:

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what is the constant of the proportionality in the equation y = 7x

Answers

Answer:

7

Step-by-step explanation:

The equation of direction variation is

y = kx where k is the constant of variation

y = 7x  so 7 is the constant of variation

Answer:

7

Step-by-step explanation:

The equation of direction variation:-  

y = kx where k is the constant of variation -> Eq 1  

y = 7x  -> Eq 2

Comparing Eq 1 and Eq 2,

k=7

18
A company is expanding its building area from 16,500 square feet to 22,605 square feet. What is the percentage increase of the
area of the building space?

Answers

the answer is 37%

: 16500*37%= 6150

6150+16500=22605 :correct

Solve 3x − x + 2 = 12.

Answers

X=5 is ur answer my guy it’s simple math

2x=12_2 2x=10 x=5 that answer

A woman stands on a mountain at 8,000 feet above sea level. A man stands in a valley at 400 feet below sea level. What equation shows the difference in their elevations?

8,000 + (-400) =
8,000 - 400 =
8,000 - (-400) =
-8,000 - 400 =

Answers

Answer:

8,000 - (-400)

Step-by-step explanation:

Answer: 8,000 - (-400) =

Step-by-step explanation:

Quick please I really need this

Answers

Answer:

y = 39

Step-by-step explanation:

550 x [tex]\pi[/tex] = [tex]\pi[/tex] [tex]r^{2}[/tex] x 11 + y

550 x [tex]\frac{7}{22}[/tex] = [tex]\frac{7}{22}[/tex] x 11 x 11 + y

550 x [tex]\frac{7}{22}[/tex] x [tex]\frac{22}{7}[/tex] = 11 x 11 + y

550 = 11 x 11 + y

[tex]\frac{550}{11}[/tex] = [tex]\frac{11}{11}[/tex] x 11 + y

50 = 11 + y

50 - 11 = y

39 = y

C. Find the equation of the line perpendicular to
y = 14x-5 and passing through (2,-3).

Answers

Answer:

[tex]y = -4x + 5[/tex]

Step-by-step explanation:

We want to find the equation of the line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{4} x - 5[/tex]

And which passes through the point (2, -3).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

In other words, since the slope of the original line is 1/4, the slope of the perpendicular line will be -4.

We are also given that it passes through the point (2, -3). Hence, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x- x_1)[/tex]

Substitute:

[tex]\displaystyle y - (-3) = -4 (x - (2))[/tex]

Simplify:

[tex]y + 3 = -4(x - 2)[/tex][tex]y = -4x + 5[/tex]

Distribute:

[tex]y + 3 = -4x +8[/tex]

And subtract:

[tex]y = -4x + 5[/tex]

In conclusion, our equation is:

[tex]y = -4x + 5[/tex]

Which represents a unit rate ?

A. The cost of cat food is $36 per 3 bags
B. The cost of orange juice is $3 per jug
C. The cost of photocopies is $1 per 10 pages
D. The cost of roses is $50 per 2 dozen

Answers

B. The cost of orange juice is $3 per jug

A unit rate, in terms of mathematics, is a rate per unit.

Examples of unit rates are:

The car travels 25 km per hour

The cost of bags of apples is $6.00 per bag of apples.

The unit rate in these choices is Choice B:

The cost of orange juice is $3 per jug

The other choices are rates, not unit rates.

B, unit rate means the cost of one item so in option A it’s the cost for three bags not one item/bag, in option B it’s the cost of one jug so that would be your answer but we could check it with the rest. Option C is the cost per 10 pages not one so that choice is eliminated, choice D is per two dozen not one so that choice is also eliminated

A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?

Answers

Answer: I think its D and A

Step-by-step explanation:

Answer:

im pretty sure its D and also A

Step-by-step explanation:

factorize the following questions
1. a^8-b^8
2. 32y^4 - 162

Answers

Answer:

1. [tex]2(16 {y}^{4} - 81)[/tex]

2. [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex]

Step-by-step explanation:

1. [tex] a^{8} - {b}^{8} [/tex]

➡️ [tex]( {a}^{4} - {b}^{4} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]( {a}^{2} - {b}^{2} ) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex](a - b) \times (a + b) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]2(16 {y}^{4} - 81)[/tex] ✅

---------------------------------------------------

2. [tex] 32 {y}^{4} - 162[/tex]

➡️ [tex] 2(16y^{4} - 81)[/tex]

➡️ [tex]2(4 {y}^{2} - 9) \times (4 {y}^{2} + 9)[/tex]

➡️ [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex] ✅

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