(7x2) x 3
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(7x2) x3 = 7x (
(7x2) x3 = 7x
(7×2)×3={______
x3

2 3 6 7 13 21 42 49

A fraction can be converted into decimal form by dividing it. The answer to these parts are in main body.

What is a decimal?

When we divide a whole into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number.

Main Body:

a) 15/32 = 0.4688

b) 13/64 = 0.2031

c) 9/16 = 0.5625

d) 5/8 = 0.625

e) 7/80 = 0.0875

f) 29/1280 = 0.0227

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The equation of the line is will be y = -2x + 4.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Calculate the slope of the line,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -2 - 0) / ( 2 - 1) = -2

The y-intercept will be calculated as,

y = mx + c

0 = -2 x 2 + c

c = 4

The equation of the line will be,

y = mx + c

y = -2x + 4

Therefore, the equation of the line will be y = -2x + 4.

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The  Weight  of Mary is 80. Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.

Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.

the justifications.

Inquiry 1.

Formula: w = 10 8 pound

Answer: x = 80 lb

Inquiry 2:

Formula: d = 108 lb - 8 pound

d = 72 lb

Explanation:

First of all

When Mary was born, she weighed 8 pounds.

Statement 2: Mary weight 10 times as much when she was 10 years old.

w = 10 8 pounds, or 80 pounds.

Description of the illustration:

She was born weighing 8 pounds, which is represented by each cell. The 10 cells indicate that the number 8 lbs. has been repeated 10 times.

Next, the sum of the multiplication is shortened:

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 10 × 8 = 80.

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Answer:

21 + 3x

Step-by-step explanation:

Its simple really. Just expanding the brackets by bringing the 3 inside the bracket :

3 × 7 = 21

3 × x = 3x

So our answer will 21 + 3x

Hope this helped and have a good day

Answer:cap

Step-by-step explanation:C A P

Answer:

I=PRT/100

I100=PRT dbs by Rt

l100/RT = P

48000*100/6*6

P=

Answer:

(10 + 8) - (7 * 2) = x, 4 pounds of birdseed left

Step-by-step explanation:

      For the first part of our equation, we will find the total amount of pounds of seeds among the bags (addition).

      For the next part, we will find out how much of the bird seed is used (subtraction).

      Then, it will equal whatever is left.

(10 + 8) - (7 * 2) = x, x = pounds of bird seed left

      Now, we will solve.

(10 + 8) - (7 * 2) = x

(18) - (14) = x

x = 4 pounds of birdseed left

If 160 workers can produce 32 cars in 2 hours, The number of workers that can produce 66 cars in 3 hours is 220 .

Using this formula

W = kC/H

160  = k(32 )/2= 17k

k =  160 /16

Hence,

W = (160 /16)C/H

W = (160 /16) (66/3)

W= 220 workers

Therefore we can conclude that 220 workers can produce the cars in 3 hours.

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The required consecutive even integers are 66, 68, 70, and 72.

We have four integers. The integers are consecutive, that means the integers are one after the other. The integers are even, which means they are all divisible by two. The sum of these four even integers is 276.

Let the first even integer be represented by the variable "n". The next three consecutive integers are (n + 2), (n + 4), and (n + 6). Let the sum be denoted by "S".

S = n + (n + 2) + (n + 4) + (n + 6)

276 = 4n + 12

4n = 264

n = 66

Hence, the required integers are 66, 68, 70, and 72.

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By using the concept of volume of a sphere, the result obtained is

Radius of the tennis ball = 1.35 inch

What is Volume of a sphere?

Volume of the sphere is the total space taken by the sphere.

If r is the radius of the sphere, then the volume of the sphere is given by the formula

V = [tex]\frac{4}{3}\pi r^3[/tex]

Let the radius of the ball be r inch

Volume of the ball = [tex]\frac{4}{3}\pi r^3[/tex]

                               = [tex]\frac{4}{3} \times 3.14 \times r^3[/tex]

By the problem,

[tex]\frac{4}{3} \times 3.14 \times r^3 = 10.31\\r^3 = \frac{10.31 \times 3}{4 \times 3.14}\\r^3 = 2.46\\r = \sqrt[3]{2.46}\\ r = 1.35\ in[/tex]

Radius of the tennis ball = 1.35 inch

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For the given two sets A and B, the set B is equal to A.

Set:

A set is the collection of well-defined objects or elements. It is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.

Given.

Here we have the two sets

A =  {piano, guitar, violin) and

B = (guitar, piano, violin)

Now, we need to find the relation between  B and A.

While we looking into the given sets,

Set A has 3 elements in it and

Set B has 3 elements in it.

So, the size of both sets are equal.

And now we have to looking at the elements in it.

While we checking the elements, instead of the order both have the same elements.

Therefore, the set B is equal to set A.

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Answer:

65c

Step-by-step explanation:

Answer: 17:4

Step-by-step explanation:

21 washing machines

4 broken

21 - 4 = 17

17:4

Step-by-step explanation:

6x-4+60=14x-8

6x+56=14x-8

8x=64

x=8

In the given graph the correct statements are:

q ⊥ n

m ║ n

p ⊥ m

Parallel lines are two straight lines that never intersect and are located in the same plane. They are equidistant lines that are always at the same distance from one another. Parallel lines are denoted by the apostrophe ||. AB || CD, for instance, denotes that line AB and line CD are parallel. Perpendicular lines, on the other hand, are when two lines cross at an angle of 90 degrees. The symbol stands for perpendicular lines. Line PQ is perpendicular to line RS, for instance, if PQ RS. Examine the following illustration and the characteristics of parallel and perpendicular lines to recognize and distinguish between them.

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The simple interest on a $10000 loan offered at a rate of 9% over 240 days is $10591.78

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

The formula is given as

S.I = p(1 + rt)

Substituting the values into the equation,

S.I = 10000(1 + 0.09 * 240)

S.I = 10591.78

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The x-intercept of the table of values is 12 or (12, 0).

To find the x-intercept of a table that represents a linear relationship between x and y, first write the equation that models the table.

To write the equation, first find the slope (m) using two pairs of values, say, (22, 36) and (27, 54)

Slope (m) = (54 - 36)/(27 - 22)

Slope (m) = 18/5

Write the equation that represents the table of values by substituting (a, b) = (22, 36) and m = 18/5 into y - b = m(x - a):

y - 36 = 18/5(x - 22)

To find the x-intercept, substitute y = 0 into the equation, y - 36 = 18/5(x - 22) to find the value of x:

0 - 36 = 18/5(x - 22)

-36 = 18/5(x - 22)

5(-36) = 18(x - 22)

-180 = 18(x - 22)

-180/18 = x - 22

-10 = x - 22

-10 + 22 = x

12 = x

x = 12

The x-intercept is 12 or (12, 0).

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The two expressions to be evaluated are

The problem asks for two expressions with positive and negative numbers

the positive numbers in the expressions are 2x and 4x

the negative numbers in the expressions are -5 and -3

At x = 5.

evaluating the first expression gives

y = 2x - 5

y = 2 * 5 - 5

y = 10 - 5

y = 5

evaluating the second expression gives

y = 4x - 3

y = 4 * 5 - 3

y = 4 * 2

y = 8

One of the expressions evaluated has error and on is error free

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Answer:

Yes

Step-by-step explanation:

It depends on the questions before hand but this seems to answer the previous two questions.

The person that I agree with is Glenda I don't agree with any of you. I think there must be a different reason for the arrangement.

The periodic table, commonly known as the periodic table of (chemical) elements, is a table that displays the chemical elements in a tabular format.

The chemical elements are ordered from left to right and top to bottom by increasing atomic number, or the number of protons in an atom's nucleus, which generally corresponds to increasing atomic mass.

The elements in the periodic table are organized into rows, called periods, in ascending atomic number order. Vertical columns, referred to as groups, in which the elements have similar qualities.

I agree with Glenda because they're arranged in atomic number.

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Answer:

(-2/5,0)

Step-by-step explanation:

if y=0,

5/12 x + 1/6 = 0

5x + 2 = 0

x = -2/5

or, multiply by 6 to get the intercept form:

6y = 5/2 x + 1

-5/2 x + 6y = 1

x/(-2/5) + y/(1/6) = 1

The person must walk 2.61 miles to use 220 calories with speed of 4mph.

What is speed?

 The pace at which an object's position changes in any direction is known as its speed. The distance traveled relative to the time it took to travel that distance is how fast something is moving. Due to its lack of magnitude and only having a direction, speed is a scalar quantity.

Here, At 4 mph 5.6 calories are used in = 1 minute

So, at 4 mph, 220 calories are used in,

=> 220/5.6

=> 39.28 minutes

Hence, a person must walk for 39.28 minutes to burn 220 calories.

To find the distance a person should walk, when the speed is 4 miles per hour.

In 60 minutes a person is walking = 4 miles

So, in 39.28 minutes a person will walk = 4/60*39.28

= 2.61 miles

Therefore The person must walk 2.61 miles to use atleast 220 calories.

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Answer:

B (x = 3 + √5)

Explanation:

x² + 9 = 5

Take square root of both sides

x + 3 = ± √5

Add 3 to both sides

x = 3 + √5 or x = 3 - √5

Answer:

9. 4/5

10. 3/4

11. 1/4

12. 1/8

13. 1/11

14. 1/9

15. 9/10

16. 1/10

Step-by-step explanation:

ur welcome

Answer:

1.) 10: 1, 2, 5, 10.

15: 1, 3, 5, 15,

Answer would be 5.

2.) 18: 1, 2, 3, 6, 9, 18

21: 1, 3, 7, 21

Answer would be 3.

3.) 12: 1, 2, 3, 4, 6, 12.

24: 1, 2, 3, 4, 6, 8, 12, 24.

Answer would be 12.

4.) 8: 1, 2, 4, 8.

20: 1, 2, 4, 5, 10, 20.

Answer would be 4.

5.) 14: 1, 2, 7, 14.

28: 1, 2, 4, 7, 14, 28.

Answer would be 14.

Step-by-step explanation:

Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.

Answer:

12*(1/4+1/3)(1/4+1/3)+2/3= 12*(1/16+1/12+1/12+1/9)+2/3=12*(9/144+12/144+12/144+16/144)+2/3= 12*(49/144)+2/3=12*49/144+2/3= 49/12+2/3=49/12+8/12=57/12= 4*9/12=4* 3/4

Step-by-step explanation:

The ball was in the air for 1.5 seconds. The answer is true.

The equation of the form ax² + bx +c is known as a quadratic equation.

The given equation is h(t) = -16t² + 20t + 6.

To find the time for which the ball was in the air, substitute h(t) =0.

0 = -16t² + 20t + 6

Use the quadratic formula to solve the equation:

[tex]t= \frac{- 20 \pm\sqrt{20^2 - 4(-16)(6)}}{2(-16)}\\t=\frac{- 20 \pm\sqrt{400+384}}{-32}\\t=\frac{- 20 \pm\sqrt{400+384}}{-32}\\t=\frac{- 20 \pm\sqrt{784}}{-32}\\\\t= \frac{- 20 \pm28}{-32}[/tex]

t = (-20 + 28)/(-32) or t = (-20-28)/(-32)

t = -0.25 or t = 1.5

Since time cannot be negative, discard the negative value.

Hence, the ball was in the air for 1.5 seconds. The answer is true.

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The probability that the Yankees will win when they score fewer than 5 runs is; 0.567

We are given;

Event A which is when Yankees win has a probability of; P(A) = -.45

Thus, Event that the Yankees don't win which is when they lose is;

P(A') = 1 - 0.45 = 0.55

Event B which is the event that the Yankees score 5 or more runs has a probability of; P(B) = 0.6

Event that the Yankees score 4 or less run is given by the probability;

P(B') = 1 - 0.6 = 0.4

The probability that the Yankees win and score 5 or more runs is;

P(A' ∩ B') = 0.34

Thus, the probability that the Yankees will win when they score fewer than 5 runs wanted is given by the chain rule in conditional probability of the formula;

P(A' | B') = P(A' ∩ B')/P(B') = 0.34/0.6

P(A' | B') = 0.567

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