Use the Distributive
Property to express
28 + 56

Answer:

4 x 11 + 3 = 47

Step-by-step explanation:

n = 11

The equation that represents the situation will be 4n + 3 = 47. And the solution of the equation is 11.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Four times a number, n, added to 3 is 47. Then the equation is given as,

4n + 3 = 47

Simplify the equation, then we have

4n + 3 = 47

4n = 47 - 3

4n = 44

n = 11

The equation that represents the situation will be 4n + 3 = 47. And the solution of the equation is 11.

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Step-by-step explanation:

To find, an algebraic expression for the given phrase = ?

6 times the length x = 6x

and

7 inches shorter than 6 times the length x

= 6x - 7

∴ 7 inches shorter than 6 times the length x of a table in inches = 6x - 7

Hence, the required "option d) 6x – 7" is correct.

Answer: Step 1. Divide all terms by a (the coefficient of x2).

Step 2. Move the number term (c/a) to the right side of the equation.

Step 3. Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

First find the number of children attending elementary school

= 1349*2

= 2698 children

Now each school can accommodate 220 children so divide the number of children by 220

=  

= 12.26 which is the closest to 13 in the options so the answer is 13

Step-by-step explanation:

The graph that represents the sale of the company is the first graph as shown attached.

In the first pie chart, each salesperson's contribution is clearly depicted as a segment of the whole pie. Joe's 25%, Cindy's 40%, and Jamie's 35% are visually represented.

Pie charts are good for showing how much of something each person sells. They help us see who sells more without needing to do hard math.

With pie charts, it's easy to understand who sells the most just by looking at the colors and sizes of the slices. They make it simple to compare how much each person sells without having to do any fancy calculations.

Answer:

The area of a the parallelogram is 88meers squared

Answer:

0.0026 mark brainliest

Step-by-step explanation:

Answer:

2.6 hours

Step-by-step explanation:

9360 second divide by 60 to get minutes

156 minutes divided by 60 to get hours

2.6 hours

Answer:

15/11

Step-by-step explanation:

Because the GCF is 20

Hope this helps:)

Answer:

15/11

Step-by-step explanation:

Answer:

19 L

Step-by-step explanation:

Given that the volume (V) varies inversely with the pressure (P) then the equation relating them is

V = [tex]\frac{k}{P}[/tex] ← k is the constant of variation

To find k use the condition V = 5 when P = 304

k = VP = 5 × 304 = 1520

V = [tex]\frac{1520}{P}[/tex] ← equation of variation

When P = 80, then

V = [tex]\frac{1520}{80}[/tex] = 19 L

Answer:

angle measurements of 35, 35, and 110°

angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

we know that

The length sides of a triangle must satisfy the Triangle Inequality Theorem and the sum of their interior angles must be equal to 180 degrees

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means, I can have more than one triangle with the same internal angles

so

Verify each description

case 1) side lengths of 6 ft, 8 ft, and 10 ft

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is true

2) 6+10 > 8 ---> is true

3) 8+10 > 6 ---> is true

therefore

The description describe only one triangle

case 2) angle measurements of 35, 35, and 110°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 3) angle measurements of 30°, 40, and 50°

The sum of the interior angles is not 180 degrees

therefore

The description is not a triangle

case 4) angle measurements of 40°, 60°, and 80°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 5) side lengths of 4 cm, 6 cm, and 9 cm

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 4+6 > 9 ---> is true

2) 4+9 > 6 ---> is true

3) 6+9 > 4 ---> is true

therefore

The description describe only one triangle

Answer:

Angle measurements of 35, 35, and 110°

Angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

took a test got the answer correct

Context?                                                                                                                      

??????????????                              

Answer:

2

Step-by-step explanation:

(20÷4)-3

20÷4=5

5 x -3= 2

Answer:

2

Step-by-step explanation:

20 /4=5

5-3=2

Final answer:

The expression x(y-5) - y(5-y) can be rearranged and factored into (y - 5)(x + y), which is the expression written as a product of two polynomials.

Explanation:

To write the expression x(y-5) - y(5-y) as a product of two polynomials, we first distribute the variables across each term:

x(y-5) = xy - 5x

-y(5-y) = -5y + y²

Now, combining like terms:

xy - 5x - 5y + y²

This expression can't be factored as is, since it cannot be represented by the product of two simpler polynomials with real coefficients. However, we can rearrange the terms:

(xy - 5y) + (y² - 5x) = y(x - 5) + y(y - 5)

Here we can see a common factor of (y-5):

(y - 5)(x + y)

This is the expression written as a product of two polynomials.

Answer:

B and F

Step-by-step explanation:

Option A is false, there is no information whether opposite sides are parallel.

Option B is true because of following parallelogram theorem.

Parallelogram theorem: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

Option C is false, there is no information about any angles.

Option D is false, there is no information about any angles.

Option E is false, there is no information about any angles.

Option F is true because of following parallelogram theorem.

Parallelogram theorem:  If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

Answer:

k = 0

Step-by-step explanation:

Explanation:-

given straight line equation is k x+(k+1)y=2......(1)

The point A(2,2) lies on the equation is

substitute x = 2 and y=2

k(2) + (k+1)(2) =2

now simplify 2 k+2 k+2 = 2

subtracting '2' on both sides , we get solution is

4 k +2 -2 = 2-2

4 k =0

k = 0

Answer:

k = 0

Step-by-step explanation:

kx + (k + 1)y = 2

2k + 2(k + 1) = 2

2k + 2k + 2 = 2

4k + 2 = 2

4k + 2 - 2 = 2 - 2

4k = 0

4k ÷ 4 = 0 ÷ 4

k = 0

Answer:

7-3n

Step-by-step explanation:

3 less than 7.................. 7-3

times a number ............ n

Together ......................... 7-3n

Answer:

Step-by-step explanation:

y - y1 = m(x - x1)

(1,9)...x1 = 1 and y1 = 9

slope(m) = 2

now we sub

y - 9 = 2(x - 1) <===

The point-slope equation of the line with slope 2 that passes through the point (1, 9) is y - 9 = 2(x - 1).

To find the point-slope form equation of a line with a given slope and a point, use the formula y - y1 = m(x - x1),

where (x1, y1) is the point on the line and m is the slope.

In this case, the slope is given as 2 and the point is (1,9).

Substituting these values into the point-slope form formula yields the equation y - 9 = 2(x - 1), which represents the linear relationship between x and y corresponding to the described line.

Answer:

Therefore the final elevation of the butterfly is 4 m.

Step-by-step explanation:

i) initial elevation = 20 m

ii) change in elevation = -16m

iii) therefore final elevation = initial elevation + change in elevation

               =   20 m + (-16 m)  

              =   (20 - 16) m

               =    4 m

Therefore the final elevation of the butterfly is 4 m.

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

To find a improper fraction, you must multiply the denominator by the whole number, then add the numerator to the product.

6 x 8 = 48 + 1 = 49.

Our numerator for the improper fraction is 49, we keep the denominator as the same as the whole number fraction, which is 8.

Therefore, your improper fraction is 49/8.

The improper fraction equivalent of 6 1/8 is 49/8.

Given that a mixed fraction 6 1/8, we need to convert it into improper fraction,

To change a mixed number like 6 1/8 into an improper fraction, you need to convert the whole number and the fraction into a single fraction.

Step 1: Multiply the whole number by the denominator of the fraction.

6 x 8 = 48

Step 2: Add the product from Step 1 to the numerator of the fraction.

48 + 1 = 49

Step 3: Write the result from Step 2 over the original denominator.

The original denominator is 8.

Therefore, the improper fraction equivalent of 6 1/8 is 49/8.

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Answer:

The solution of the system is the point (-1,-2)

Step-by-step explanation:

The question is

Enter the coordinates of the solution to the system of equations

we have

[tex]y=x-1[/tex] ----> red line

[tex]y=-2x-4[/tex] ----> blue line

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs. The solution is a point that satisfy both equations

using a graphing tool

The intersection point is (-1,-2)

The intersection point satisfy both equations

therefore

The solution of the system is the point (-1,-2)

see the attached figure to better understand the problem

Incomplete question the complete question with the diagram is given below.

Answer:

The Correct option is second one 17 units.

Therefore the Length of BE is 17 units.

Step-by-step explanation:

Given:

∠BAE = ∠DAE

BE = 3x - 24

DE = x + 10

To Find :

Length of BE = ?

Solution:

∠BAE = ∠DAE        .........Given:

As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.

So , the chord BE and DE are equal

Substituting the values we get

[tex]BE=DE\\3x-24=x+10\\2x=34\\\\x=\dfrac{34}{2}=17\\\\x=17\ units[/tex]

Therefore the Length of BE is 17 units.

Answer:

Answer is C

Step-by-step explanation:

edge 2021

Answer:

30,240 yards

Step-by-step explanation:

6*30 in an hour

6*30*24 in a day

6*30*24*7 in a week, solve for 30240

Answer: 29 m

Step-by-step explanation: First find the width

Since Area = Length x Width

Width = Area/Length = 232/8 = 29

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Answer:

[tex]\frac{8}{3}[/tex]

Step-by-step explanation:=

= [tex]\frac{56}{21}[/tex]  ( Divide both sides by 7)

= [tex]\frac{8}{3}[/tex]

21 is 3/8 fraction of 56.

A fraction describes a part of a whole. For example, one slice of a pizza is a fraction of the whole pizza.

Given that, what fraction of 56 is 21,

Finding the fraction, we get,

21 / 56 = 7(3) / 7(8)

= 3 / 8

Hence, 21 is 3/8 fraction of 56.

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The hypotenuse length is D. 2√29

Step-by-step explanation:

Here apply the Pythagorean relationship were the sum of squares of the sides equals the square of the hypotenuse.

Mathematically,

a²+b²=c²

a=10 ,b=4 ,c=hypotenuse

10²+4²=c²

100+16=c²

116=c²

√116=c

√4*29=c

√4 *√29=c

2√29 =c

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The range of function is { -1, 1 }

Solution:

Given that, the function is:

[tex]f(x) = \frac{x^2-2}{2}[/tex]

Domain is {0, 2 }

We have to find the range of function

The domain refers to the set of possible input values

The range is the set of possible output values

Here domain is x = 0 and x = 2

Substitute x = 0 in given function

[tex]f(0) = \frac{0-2}{2}\\\\f(0) = \frac{-2}{2}\\\\f(0) = -1[/tex]

Substitute x = 2 in given function

[tex]f(2) = \frac{2^2-2}{2}\\\\f(2) = \frac{4-2}{2}\\\\f(2) = \frac{2}{2} = 1[/tex]

Thus the range of function is { -1, 1 }

Answer:

.0,1,2,3,4,5,6,7,8

The group which represents a success is D. 0, 1, 2, 3, 4, 5.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.

Total outcomes which are numbers from 0 to 9 = 10

If the probability of success is 60%,

P(success) = 60/100 = 6/10

That is, 6 numbers out of 10 are the outcomes which leads to success.

The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.

Hence the correct option is D.

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Answer:

1/8

Step-by-step explanation:

Check: 12.5 * 8 = 100

Answer:

1/8 is the simplest form

Step-by-step explanation:

12.5% = 12.5/100 = 125/1000

125/125 = 1

1000/125 = 8

= 1/8