Mathematics Middle School

100 POINTS If (p−q)/2 =3 and rp−rq=12, then r= (A) −1 (B) 1 (C) 2 (D) 4 (E) It cannot be determined from the information given

Answers

Answer 1

Answer:

r = 2 (answer C)

Step-by-step explanation:

Given: (p - q)/2 = 3, so (p - q) = 6

Next, rp - rq = 12 can be rewritten as r(p - q) = 12, or r(6) = 12

Then r must be 2: r = 2 (answer C)

Related Questions

I'm going to ask this question again because no one really explained it to me 'clearly.' So if you could do that it would be much appreciated! I'll also give u a brainly <3
Question: What is the value of r.

Answers

R=8.3144598(48)j•mol^-1•k^-1.

r+ √2r +2 √2=（2+2）√2

r=1.17

please help (90 points)
if the mean is 5 and these are the numbers 4, 3, 4, 5, 6, 6, 8, 4 what is the mean absolute deviation

Answers

Answer:

1.25

Step-by-step explanation:

Finding deviation of each value

4 = |5 - 4| = 13 = |5 - 3| = 24 = |5 - 4| = 15 = |5 - 5| = 06 = |5 - 6| = 16 = |5 - 6| = 18 = |5 - 8| = 34 = |5 - 4| = 1

Mean Absolute Deviation (M.A.D.)

Sum of deviations / Number of terms1 + 2 + 1 + 0 + 1 + 1 + 3 + 1 / 810/85/41.25

Answer:

1.20

Step-by-step explanation:

4 = |5 - 4| = 1

3 = |5 - 3| = 2

4 = |5 - 4| = 1

5 = |5 - 5| = 0

6 = |5 - 6| = 1

8 = |5 - 8| = 3

4 = |5 - 4| = 1

Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111

Answers

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

The products of the given pairs of numbers are:

(-5)(4.2) = -21

(-7)(-3) = 21

(4)(5) = 20

(2.5)(-9) = -22.5

So, the pairs of numbers and their products are as follows:

(-5)(4.2) = -21 matches with -21.

(-7)(-3) = 21 matches with 21.

(4)(5) = 20 matches with 20.

(2.5)(-9) = -22.5 matches with -22.5.

I hope this helps!

please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is $a=-15b-5$

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

$a-$$a_{1}$$=x[b-b_{1}]$

Where we will consider (1/3,0) = $a-a_{1}$ and (0,-5) = $b-b_{1}$

that is 1/3 = $a$, 0 = $a_{1}$ and

0 = $b$, -5 = $b_{1}$

$x$ refers to the slope of line (take any variable)

Now for finding the value of $x$,

$x=a-a_{1}/b-b_{1}$

inserting the values,

$x=[0-[-5]]/[0-1/3]\\x= -15$

Substitute the value of $x$ in the equation

$a-0=-15[b-1/3]$

By simplifying the equation, we get

$a=-15b-5$

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Yo can someone help me out

Answers

Answer:

(d ) is the answer

I am sure

Step-by-step explanation:

Hey there!

Your answer is Option D.

Reason:

Product of 2and 9 = 2(9)

Product of 4 and 7 = 4(7)

Now; their sum = 2(9) + 4(7)

Therefore, your answer is Option D.

Hope it helps...

Pls help me it’s due tomorrow

Answers

Here is an example of how to draw an isosceles trapezoid:

_______

/ \

/_________\

In this trapezoid, the two parallel sides (the top and bottom sides) are of equal length, and the two non-parallel sides (the left and right sides) are also of equal length. The angles between the top and left sides and between the top and right sides are equal, as are the angles between the bottom and left sides and between the bottom and right sides.

What is an isosceles trapezoid?

An isosceles trapezoid is a type of trapezoid where the two non-parallel sides of the trapezoid are of equal length. This means that the trapezoid has a line of symmetry through its mid-point, which divides the trapezoid into two congruent triangles. The two parallel sides of an isosceles trapezoid are also referred to as bases, and the height of the trapezoid is the perpendicular distance between the two bases.

Because an isosceles trapezoid has two congruent triangles, the angles opposite these sides are also congruent. Therefore, an isosceles trapezoid has two pairs of congruent angles, with each pair containing one acute angle and one obtuse angle. The acute angles are located adjacent to the parallel sides, while the obtuse angles are located adjacent to the non-parallel sides.

Isosceles trapezoids have several interesting properties, including that the diagonals of an isosceles trapezoid are congruent, and that the diagonals bisect each other. Additionally, the length of each diagonal can be found using the Pythagorean theorem, and the area of an isosceles trapezoid can be determined using the formula:

Area = ((a + b) / 2) * h

Where "a" and "b" are the lengths of the two parallel sides (bases) and "h" is the height of the trapezoid.

PART B:

An isosceles trapezoid is a quadrilateral with two parallel sides (the bases) and two non-parallel sides of equal length. A parallelogram is also a quadrilateral with two pairs of parallel sides.

An isosceles trapezoid can be thought of as a special case of a parallelogram where one pair of opposite sides is shorter than the other pair. In fact, if you extend the non-parallel sides of an isosceles trapezoid until they intersect, you will get a parallelogram with the same base and height as the original trapezoid.

Conversely, if you take a parallelogram and draw a line segment parallel to one pair of opposite sides, you will get an isosceles trapezoid. This means that every isosceles trapezoid can be thought of as a parallelogram with a missing piece, and every parallelogram can be thought of as an isosceles trapezoid with extra pieces added on.

So, in summary, isosceles trapezoids and parallelograms are related in that isosceles trapezoids can be thought of as special cases of parallelograms, and parallelograms can be thought of as isosceles trapezoids with extra pieces added on.

PART C:

No, we cannot use the term "isosceles" to describe a rectangle because a rectangle, by definition, has four right angles and opposite sides that are parallel and congruent to each other. An isosceles trapezoid, on the other hand, has only one pair of parallel sides and two non-parallel sides that are congruent to each other.

The term "isosceles" is typically used to describe triangles or trapezoids where two sides are congruent to each other. In an isosceles triangle, two sides are equal in length, while in an isosceles trapezoid, two non-parallel sides are equal in length. However, in a rectangle, all four sides are equal in length, not just two.

Therefore, while we can describe a rectangle as having all sides congruent to each other, we cannot describe it as an isosceles rectangle because "isosceles" implies only two sides are congruent, which is not the case for a rectangle.

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PartB. The parallelogram is a quadrilateral that has both pair of opposite sides parallel. The isosceles trapezoid whose legs have the same length. Long story short, parallelograms can’t be be and aren’t isosceles trapezoids.
PartC, No, a triangle can because the “legs” are the same size and aren’t parallel.
PartA

According to a Niclsen survey, 92% of consumers around the world say that they trust recommendations from

friends and family most, above all other forms of advertising. Suppose we took random samples of n = 100

consumers from this population and computed the proportion of consumers in each sample who trust

recommendations from friends and family most.

What will be the shape of the sampling distribution of the proportions of consumers who trust

recommendations from friends and family most?

Choose 1 answer:

Skewed to the left

©

Skewed to the right

Approximately normal

Uniform

Answers

Answer:

what grade?

Step-by-step explanation:

The shape of the sampling distribution of the proportions of consumers will be skewed to the left. Hence, option A is correct.

What is Probability?

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

As per the given information in the question,

Proportion = 92% = 0.92

Sample size, n = 100

As,

np = (100)(0.92) = 92

Use the equation given below,

n(1 - p)

= 100(1 - 0.92)

= 100 - 92

= 8

n(1 - p) = r < 10

When sampling distribution have fewer than 10 expected failure per sample, distribution of sample is left skewed.

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Mr Hall earns $1500 per month. If income tax is deducted at 20%, find his net pay after tax.

Answers

Answer:

$300

Step-by-step explanation:

1500 • 20%

1500 • 20/100

15 • 20

300

Hope this helps, good luck! :)

His net pay after tax is $1,200

Calculations and Parameters:

Given that he earns $1500

His income tax is 20%

Therefore, to find the amount deducted,

20/100 x 1500

= $300

Hence, to find his net pay,

1500-300

=$1,200

Answers

X=(a-y)/2, x=b-y
Y=a-2x, y=b-x

X=2x+y-a*4
Find like terms
Y=6-4- (-3)* 3/5
Then see what’s the same or look at what is similar. If a letter is by itself, it equals one

Complete the equations with powers of
10
1010.
720
,
800
÷
720,800÷720, comma, 800, divided by

=
7.208
=7.208equals, 7, point, 208
720
,
800
÷
720,800÷720, comma, 800, divided by

=
72.08
=72.08equals, 72, point, 08
720
,
800
÷
720,800÷720, comma, 800, divided by

=
720.8
=720.8equals, 720, point, 8

Answers

Answered Sacco

Step-by-step explanations

xxx xxx

The answer is saco of this

Compare the $\sqrt[3]{92}$ and 450% using <, >, or =.

450% < the cube root of 92

450% > the cube root of 92

the cube root of 92 < 450%

the cube root of 92 = 450%

Answers

Answer: a

Step-by-step explanation:

the answer to this is a

Find the difference. Write your answer in simplest form.

1 1/6 - 1/2

Answers

Answer:

2/3

Step-by-step explanation:

1 1/6 - 1/2

Get a common denominator of 6

1 1/6 - 1/2*3/3

1 1/6 - 3/6

Borrow 1 from the 1 in the form of 6/6

6/6 + 1/6 - 3/6

7/6 - 3/6

4/6

Reduce by dividing the top and bottom by 2

2/3

Answer:

2/3

Step-by-step explanation:

The volume of this prism is cubic inches.

Answers

Answer:

140

Step-by-step explanation:

The prism shown is a rectangular prism

Volume of a rectangular prism = length * width * height

Given length: 3 1/2

Given width: 5

Given height: 8

Volume = 3.5 * 5 * 8 = 140

Answer:

$A=140$

Step-by-step explanation:

The volume of a three-dimensional object is the amount of space the object takes up. In this case, the prism is a rectangular prism, its volume can be found using the following formula,

$A=l*w*h$

Substitute the given values into this formula,

$A=l*w*h$

$A=8*5*3\frac{1}{2}$

Simplify,

$A=8*5*3\frac{1}{2}$

$A=40*3\frac{1}{2}$

Convert the mixed number into an improper fraction, this can be done by multiplying the "number" part of the mixed number by the denominator (number under the fraction bar). Then one adds the result to the numerator (number over the fraction bar).

$A=40*3\frac{1}{2}$

$A=40*\frac{(3*2)+1}{2}$

$A=40*\frac{6+1}{2}$

$A=40*\frac{7}{2}$

To simplify further, one must divide the number the fraction is being multiplied by the denominator of the fraction,

$A=40*\frac{7}{2}$

$A=20*7$

Multiply to finish simplifying and get the answer,

$A=20*7$

$A=140$

In 2020, Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres. Researchers expect deforestation to cause the area of Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade. In what year do they expect the areas of the forests to be the same?

Answers

Answer:

In about 2073, 3440 acres

Step-by-step explanation:

Determine the equation for each forest. Forest A: y=-105x+4000 Forest B: y=-30x+3600There are a number of ways to solve a system of equations, but for this we are first going to solve for x when -105x+4000=-30x+3600. In this case, x=5 1/3.Then, we are going to plug 5 1/3 in as x into one of our equations. To double check you have this right, you may do both. If our equation is y=-30(5 1/3)+3600, then y=3440.Add 5 1/3 decades or about 53 years to 2020.

Therefore, they expect the area of the forests to be the same in about 2073. At this time, both will have an area of about 3440 acres.

In 2073 the areas of the forests to be the same.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres.

If Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade.

let the number of decades occur be x

So, the equation is

4000 - 105x= 3600 - 30x

400 = 75 x

x= 5.33

x= 53.3 years

Hence, In 2073 the areas of the forests to be the same.

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What is the total volume of this figure?

Answers

Answer:

2430m^3

Step-by-step explanation:

6*21*9=1134

6*24*9=1296
1296+1134=2430

The volume of that figure is 2430m

What is the GCF of 20 and 150?

Answers

Answer:

Step-by-step explanation:

they both go into 20 and 150

10 cause 10x2 is 20 and 15x10 is 150

In EFG, EG is extended through point G to point H, m m

Answers

Answer:

∠ FGH = 48°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FGH is an external angle of the triangle, thus

∠ FGH = ∠ EFG + ∠ GEF , substitute values

5x - 7 = x + 14 + 2x + 1

5x - 7 = 3x + 15 ( subtract 3x from both sides )

2x - 7 = 15 ( add 7 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Thus

∠ FGH = 5x - 7 = 5(11) - 7 = 55 - 7 = 48°

What steps would you take in order to solve the equation m + 61 = 39 ? add 61 and multiply by add 61 and multiply by 2 subtract 61 and multiply by subtract 61 and multiply by 2

Answers

First you want to isolate m. To do this, subtract 61 from both sides to get m=-22.

Please Hurry. I need this answer quickly please.

Answers

Answer:63

Step-by-step explanation:

multiply 72 by 7 then divide i by 8

(72×7)/8

=63

It's 63.

simplify the equation 7/8×72 multiple 7×9 solution is 63

Jalissa's mom purchased coffee from the local coffee shop. The first cup of coffee was $4.15. Each refill is $1.25. She also decided to get a bagel for $3.50. If Jalissa's mom had 2 refills and a $0.50 discount as part of the rewards program, how much did she spend at the coffee shop?

Answers

Answer is $9.65
1.25 x 2 = 2.50
4.15 + 3.50 = 7.65
7.65 + 2.50 = 10.15
10.15 - 0.50 = 9.65

Answer:

$9.65

Step-by-step explanation:

1.25 * 2 = 2.5 + 4.15 + 3.5 - 0.5 = $9.65

The temperature changed by negative 30° every hour for 2 1/5 hours. By how much did the temperature change?

Answers

Answer:

By -66° because -30°(2 1/5) = -66°

Write the equation of the line that has the following slope and y-intercept

Answers

Answer:

y=-4/3x+8

Step-by-step explanation:

The formula to create a linear equation is y=mx+b.

m = slope

b= y intercept

m= -4/3

b= 8

Hope this helps!!!

y= -4/3x + 8
this would be correct, the b will always be the y intercept

Which number sentence is true?

Answers

Answer:

D should be the correct answer

Step-by-step explanation:

I’m saying c but it could be D

Help me please il give 20 points!

Answers

Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5

2. Stem: Leaf:

1 9

2 5, 9

3 3, 3, 8

4 0, 7, 9

5 4, 5

6 1, 5

7 2, 7

8 1

3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: 1. a. 15 b. 11 c. 2 d.7 e. 5.5
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:

List 20 multiples of 9. Use the multiples to justify the divisibility rule 9.

Answers

20 multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180.

if the sum of its digits is divisible by 9 or if tje sum is a mutiple of 9, then the number is divible by 9.

add up the digits and figure out if the sum if the digits is a multiple of nine or weather its divisble by 9

Answer:

9 x 1 9

9 x 2 18

9 x 3 27

9 x 4 36

9 x 5 45

9 x 6 54

9 x 7 63

9 x 8 72

9 x 9 81

9 x 10 90

9 x 11 99

9 x 12 108

9 x 13 117

9 x 14 126

9 x 15 135

9 x 16 144

9 x 17 153

9 x 18 162

9 x 19 171

9 x 20 180

Step-by-step explanation: Divisibility Rule of 9

That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. Example: Consider 78532, as the sum of its digits (7+8+5+3+2) is 25, which is not divisible by 9, hence 78532 is not divisible by 9.

Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 79200 miles in 18 hours. The graph below represents the number of miles,

Answers

Answer:

4400

Step-by-step explanation:

I think this is right sorry if its not. Have a good night, sorry if im late.

Answer:

4600 miles

Step-by-step explanation:

You want to know the difference in miles per hour between a satellite traveling 45000 miles in 5 hours and one traveling 79200 miles in 18 hours.

Miles per hour

The speed in miles per hour is the ratio of miles to corresponding hours. The difference in miles traveled in one hour will be ...

A speed - B speed

45000 mi/(5 h) - 79200 mi/(18 h) = 4600 mi/h

Explorer B travels 4600 fewer miles in an hour than Explorer A.

<95141404393>

Which is the correct answer

Answers

Answer:

The mode is equal to the minimum

Is the correct answer

Step-by-step explanation:

In this case,

Mean = (52+48+48+54+50)/5

Mean = 50.4

The Median = 50,(the middle value)

Mode = 48 (the value that appears most often)

Now, the minimum value(smallest value) of the data set is 48

so,

The mode is equal to the minimum

Answer: the mode is equal to the minimum

Step-by-step explanation:

What is the area of the front side of the fifty-cent piece? Use 3.14 for π. Round to the nearest hundredth if necessary.

30.61mm

Answers

Answer:

30.61

Step-by-step explanation:

Sid has a baseball cap collection. 65% of his caps have sports team symbols. If 26 of the caps have the team symbols, how many total caps does Sid have?

39
40
73
91

Answers

B. 40

As we know Sid has 26 Caps

we also know that 26 is 65% of total

so let total caps = x

to calculate x

we know that percent = (Values*100)/total Values.......... i

and here Value = 26 caps

percentage = 65

So we have

65 = (26*100)/x---------------- (As we know that per = fraction*100)..... from i

65x= 2600x = 2600/65x=40 caps

Hence Answer is 40

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B. 40 because the way I found it which was weird was I figured out which number had 26 out of 65%. Which is 40.

A new bank customer with $3,200 wants to open a savings account. The bank is offering a simple interest rate of 5%. How much interest will the customer earn after 4 years?
A- $640
B- $160
C- $40
D- $960

Answers

Answer:

A. $640

Step-by-step explanation:

The answer would be:
A-$640

Explanation:
5% of $3200 =$160
$160x4=$640

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