Four times the sum of a number r and 4 is equal to 20 less than 10 times the number r. What is the value of r ?

Answers

Answer 1

Answer:

r = 6

Step-by-step explanation:

According to the question,

4(r + 4) = 10r - 20

4r + 16 = 10r - 20

16 + 20 = 10r - 4r

6r = 36

r = 36 / 6

r = 6


Related Questions

find vertex of this function ​

Answers

Answer:

Step-by-step explanation:

(-1,-9)

Find the area of the circle or semicircle. use 3.14 for pi

Answers

where's the circle? :v

Part C
Calculate the ratio of the lengths of the two line segments formed on each transversal. You will have two sets of calculations. Round your answers to the hundredths place. What do you notice about the ratios of the lengths for each transversal? How do they compare?

Answers

Answer:

Line segment PM = 4.2 length

ML = 6.2

ON = 3

NK = 2

Step-by-step explanation:

Just got it on plato your welcome:)

The segments formed by each transversals and the three parallel lines are

proportional according to the three parallel lines theorem.

The observations are;

The parallel lines divide the transversals in equal proportions, such that the ratio of the lengths of each transversal are equal.

[tex]\displaystyle \mathrm{ Ratio \ of \ the \ segments ;\ }\frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}}[/tex]

Reasons:

The question is a four part question

Let the equations of the parallel lines be as follows;

Line, x; y = x

Line, y; y = x + 1

Line z; y = x + 2

The points at which transversal 1 intersect the lines x, y, and z, are;

A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)

The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)

The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)

The ratio of the lengths of the segment formed by transversal 1 is therefore;

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]

The points at which transversal 2 intersect the lines x, y, and z, are;

D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)

The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)

The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]

Therefore;

[tex]\displaystyle \frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}} = 1[/tex]

Which gives;

The proportion with which the parallel lines divide the transversals are equal.The ratio of the lengths for each transversal are equal.

The the comparison can also be made with the triangle proportionality theorem.

Learn more about triangle proportionality theorem here:

https://brainly.com/question/8160153

Reflex angle of 95 degrees

Answers

Step-by-step explanation:

a a reflex angle is more than 180° but less than 360° so in this case the reference angle of 95 degrees we are going to take 360° - 95 degrees to get255°

help me please it’s math

Answers

Answer:

1) 345    2) 62    3) 36    4) 51     5) 96      6) 142

Step-by-step explanation:

I hope you and your 3rd or 4th grader self enjoy the answers i gave you.

Write the inequality that is represented by the number line below use x as your variable

Answers

Answer:

-4 < x < 2

Step-by-step explanation:

-4 is where the first point begins.

-4

since the point is "open", aka not shaded, it should be "<"

-4 <

we now have to insert the given variable, x

-4 < x

the second, ending point, is also "open"

-4 < x <

the ending point lands on 2

-4 < x < 2

hopefully this answers your question. but a little fyi, this is simply the way i learned it, so it may/may not be what you exactly need :)

12 × (3 + 2²) ÷ 2 - 10

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

This should help

Mrs. Dawson is researching what it would cost to order flower arrangements for a fancy party. She wants one large centerpiece for the head table, and smaller arrangements for the smaller tables. Hampton Florist charges $12 for each smaller arrangement, plus $27 for the large centerpiece. Farid's Flowers, in contrast, charges $32 for the large centerpiece and $7 per arrangement for the rest. If Mrs. Dawson orders a certain number of small arrangements, the cost will be the same at either flower shop. How many small arrangements would that be? What would the total cost be? If Mrs. Dawson orders small arrangements, it will cost $ at either shop.

Answers

The number of flower arrangement and the costs are illustrations of linear equation

If Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

How to determine the number of small arrangements?

Represent the number of small arrangements with x, and the total cost with y.

Using the data from the question, we have:

Hampton Florist: y = 12x + 27.

Farid's Flowers: y = 32 + 7x

When both flower arrangements cost the same, we have the following equation

12x + 27 = 32 + 7x

Collect like terms

12x - 7x = 32 - 27

Evaluate the like terms

5x = 5

Divide both sides by 5

x = 1

This means that 1 small arrangement would cost the same in both flower shops

How to determine the total cost?

In (a), we have:

y = 12x + 27.

Substitute 1 for x

y = 12(1) + 27

y = 39

Hence, if Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

Read more about linear equations at:

https://brainly.com/question/14323743

x - 36 = 205 what is it and
x + 127 = 300
74 = x 1,068
x - 47 = 47

Answers

Answer:

241

Step-by-step explanation:

205

+36

_____

241

X would be 241

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Answers

Answer:

the answer is no. D

Step-by-step explanation:

Answer:

Oh, yes it is D

(50 POINTS) Express each sum using summation notation.
14. 3 + 3^2/2 + 3^3/3 ... + 3^n/n
15. 1 + 3 + 5 + 7 +... [2(12) - 1]

Answers

14: a

1

=

39

/2                              0.25               313%        16%

15:     54

PLSS HELP I WILL GIVE YOU BRAINLYEST!!


Students were surveyed about their
favorite sports to play in physed. The
results are represented in this arcle graph
If 48 students were surveyed, how many
chose soccer?
Part/total=%/100

A. 15
B. 12
C. 13
D. 10

Answers

Answer: C

So I was right, I guess.

The sides of the base of a right square pyramid are 5 centimeters, and the slant height is 8 centimeters. If the sides of the base and the slant height are each multiplied by 5, by what factor is the surface area multiplied?
A. 5 to 0
B. 5 to 1
C. 5 to 2
D. 5 to 3

Answers

Answer:

A

Step-by-step explanation:

The required surface area is multiplied by a factor of 25 or 5 to 2. Option C is correct.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,

The lateral surface area of a pyramid is given by the formula:

L = (1/2) * P * l

where P is the perimeter of the base and l is the slant height.
In this case, the perimeter of the base is 5 * 5 = 25 centimeters.

So the lateral surface area of the original pyramid is
L = (1/2) * 5 * 8 = 20 square centimeters.

Total area = 4[20] + 25 = 105

When the sides of the base and the slant height are each multiplied by 5, the new perimeter of the base is 5 * 5 * 5 = 125 centimeters and the new slant height is 8 * 5 = 40 centimeters.

So the lateral surface area of the new pyramid is
L = (1/2) * 25 * 40 = 500 square centimeters.

Total area = 4{500} + 125 = 2125

Therefore, the surface area is multiplied by a factor of 2125/105 = 25.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ3

What is 0.0003246 expressed in scientific notation?
A.
32.46
×
10

5
B.
3.246
×
10

4
C.
3.246
×
10
4
D.
32.46
×
10
5

Answers

Answer:

B

Step-by-step explanation:

the notation answer would also be 3.246 × 10-4 i believe :)

it takes 6 hours to travel 372 miles. How long will it take to travel 279 miles?

Answers

Answer:

4 hours and a half. 4 hours and 30 minutes

Step-by-step explanation:

Answer:

4hrs 30 minutes

Step-by-step explanation:

6hrs = 372miles

372 ÷ 6 = 62

1hr = 62 miles

62 x 4hrs = 248 miles

You need to 279 miles. 0.5 = 30 minutes.

PWEASE HELP ME THIS IS A STRUGGLE FOR ME

Answers

i’m pretty sure it’s 56

Answer:

I think the answer is 49in^2

Angel's Ice Cream Shop sold 235 scoops of marshmallow ice cream yesterday, and they sold 265 scoops of all the other flavors combined. What percentage of the ice cream they sold yesterday was marshmallow ice cream?

Choices:
A: 53%
B: 11%
C: 89%
D: 47%

(Please help, 20 points!)

Answers

Answer:

C : 89%

Step-by-step explanation:

If they sold 235 scoops of marshmallow ice cream and in total of all day they sold a total of 265 scoops of ice cream. 265 - 235 = 30

My answer is C : 89%

The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?

Answers

Answer:

The pyramid with the greater volume has 5in^3 more sand

Step-by-step explanation:

Given

Pyramid A

[tex]B = 25in^2[/tex] -- Base Area

[tex]h = 9in[/tex] --- height

Pyramid B

[tex]B = 30in^2[/tex]

[tex]h = 7in[/tex]

See attachment for pyramids

The volume of a square pyramid is:

[tex]V = \frac{1}{3}Bh[/tex]

First, calculate the volume of pyramid A

[tex]V_A = \frac{1}{3} * 25in^2 * 9in[/tex]

[tex]V_A = 25in^2 * 3in[/tex]

[tex]V_A = 75in^3[/tex]

Next, the volume of pyramid B

[tex]V_B = \frac{1}{3} * 30in^2 * 7in[/tex]

[tex]V_B = 10in^2 * 7in[/tex]

[tex]V_B = 70in^3[/tex]

To calculate how much more sand the greater pyramid has, we simply calculate the absolute difference (d) between their volumes

[tex]d = |V_B - V_A|[/tex]

[tex]d = |70in^3 - 75in^3|[/tex]

[tex]d = |- 5in^3|[/tex]

[tex]d = 5in^3[/tex]

Can you help me please thank you

Answers

Answer:

6. 4x^2 + x - 1
7. 3x^2 + 4x + 4

Explanation:

(3x^2 + x + 8) + (x^2 - 9)
4x^2 + x - 1

(5x^2 + 8x - 2) - (2x^2 - 4x + 6)
3x^2 + 4x + 4

(x_6)(x_5)+(x_5)(x_6)​

Answers

Answer:

(X+6)(x-5) + (X-5)(X+6)

Answer:

[tex]2x ^{2} - 22x + 60[/tex]

How many solutions does the system have?
You can use the interactive graph below to find the answer.
\begin{cases} x+2y=2 \\\\ 2x+4y=-8 \end{cases}









x+2y=2
2x+4y=−8


Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Exactly one solution

(Choice B)
B
No solutions

(Choice C)
C
Infinitely many solutions







How many solutions does the system have? ⎧


x+2y=2
2x+4y=−8

Answers

Answer:

No solution

Step-by-step explanation:

The easiest approach here is to divide the second equation by 2:  x + 2y = -4.

Comparing the first equation with this result, we see that the the two lines never intersect, and thus that there is no solution.

A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch

Answers

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

Simplify the following expression when x=14 y=10 z=6 .



3x+3y divided by z

Answers

3x = 42 3y = 30 so 42 + 30 = 72 then you do 72/6 which is 12

someone please help ​

Answers

Answer:

B

Step-by-step explanation:

Hi,

Your slope is in front of the x and your y-intercept is what's being added or subtracted. In this case, 4x is your slope, and +1 is your y-intercept which means that B is correct.

I hope this helps :)

Find the value of

66 + 57 − 43 + 38 − 25 + 19 − 7 + = 64 + 59 − 41 + 36 − 23 + 17 – 5

Answers

Answer:

212, pretty sure

Step-by-step explanation:

PLEASE HELP ME and the first person that answers correctly will get... BRAINLIEST I promise.

Answers

Step-by-step explanation:

V≈75.4

A≈100.53

Using the rate of Rs 105 per US Dollar, calculate
the US Dollars for Rs 21000.​

Answers

Answer:

Hey Aryabd interested to talk with me. Come in comments.

The  US Dollars for Rs 21000 would be 200 USD

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  the rate of Rs 105 per US Dollar,

We have to calculate the US Dollars for Rs 21000.​

105 Rs = 1 USD

21000 Rs = x USD

Now the proportion can be;

105x =21000

x =21000 /105

x= 200 USD

Learn more about multiplications;

https://brainly.com/question/14059007

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Easy Points! Explain Well!

Answers

Answer:

I am guessing it is 67 as for maybe the whole thing is 180 degrees. So 180 subtracted by 67 and 46 equals 67!!!

67+46+?=180

113+?=180

?=180-113

?=67

Please help!
I don't understand, so if you can explain, that would be amazing. If you just give me an answer, that's ok too!

Answers

Answer:

3 units

Step-by-step explanation:

-1, 0, 1 ,2

( 1, 2 ,3)

Give the other person Brainliest :)

Can you help me pleaseeeeeeeeeee

Answers

This is so wasy n u dk how to do it u just add 3 my god

Answer:

Pounds of candy      Cost ($)       Cost/pound

1                                  $3                $3/1                                                  

3                                 $9                $3/1                                      

7                                 $21               $3/1                                                          

10                               $30              $3/1                                                      

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