the sum of allmultiples of 6 between 10 & 87 is equal to

Answers

Answer 1

The sum of all multiples of 6 between 12 and 87 is equal to 624.

How to get the sum?

The multiples of 6 are of the form: 6*n

Where n is an integer.

The multiples between 10 and 87 are:

6*2 = 12

6*3 = 13

...

6*14 = 84

Then the sum of all these multiples can be written as:

[tex]6*2 + 6*3 + 6*4 + ... + 6*14\\\\= 6*(2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14) = 624[/tex]

The sum of all multiples of 6 between 12 and 87 is equal to 624.

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Related Questions

Find the unit rate.
180 miles in 3 hours

Answers

Answer:

60 miles per hour

Step-by-step explanation:

First, put the equation in a fraction.

You would put 180 up top because people always say miles per hour not the other way around.

You can see the dividing line as your "per" and your "hour" would be the bottom number.  

To find the unit rate, you will divide the numerator (180) and the denominator (3).  

Your final answer should be 60 miles per hour.

[tex]\frac{180}{3} = \frac{60}{1}= 60[/tex]

12 increased by twice a number is 18. Find the number.

Answers

Answer:

the number is 3

Step-by-step explanation:

lets say the number is n

12+2n=18

2n=6

n=3

Hope it helps

I need help ASAP please anybody!! Giving brainliest

Answers

Answer:

I'm pretty sure it's 24

Step-by-step explanation:

2×4=8

8×3= 24

Answer:

24 goals

Step-by-step explanation:

So we know that Jake scored 2 goals in soccer the season and we also know that Jamie scored 4 times as many goals as Jake so what we can do is take 2 and multiply at by 4 to get 8 goals for Jamie.

Now we know that Jamie scored 8 goals so we can do since we know that Edgar scored 3 times many goals as Jamie is take 8 and multiplied by 3 to get 24, so now we know that Edgar scored 24 goals in total.

in 15 minutes, joey rides his bike 2 miles. what the ratio for the number of miles too minute

Answers

Answer:

15:2

Step-by-step explanation:

the ratio is 15:2
———————




2. Carlos and Seth are catching bugs. The picture shows the number of bugs that Carlos has and the number of bugs that Seth has.

Answers

where is the picture

Ben deposited $650 from his pressure washing business into a savings account. The simple interest rate paid by the bank is 3.5%. If Ben makes no deposits or withdrawals, how much interest will he earn in 4 years?

Answers

Answer:

Simple interest of Ben :

[tex] \frac{\$650 \times 3.5\% \times 4years}{100} = \frac{9100}{100} = \$91 \\ [/tex]

Ben earn $91 in 4 years.

Identify the values of the variables. Give your answers in the simplest radical form.

Answers

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

[tex] sin(60) = \frac{9}{k} [/tex]

Multiply both sides by k

[tex] k*sin(60) = 9 [/tex]

Divide both sides by sin(60)

[tex] k = \frac{9}{sin(60)} [/tex]

[tex] k = \frac{9}{\frac{\sqrt{3}}{2}} [/tex]

[tex] k = 9*\frac{2}{\sqrt{3}} [/tex]

[tex] k = \frac{18}{\sqrt{3}} [/tex]

Rationalize

[tex] k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]

[tex] k = \frac{18\sqrt{3}}{3} [/tex]

[tex] k = 6\sqrt{3} [/tex]

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

[tex] tan(60) = \frac{9}{f} [/tex]

Multiply both sides by f

[tex] f*tan(60) = 9 [/tex]

Divide both sides by tan(60)

[tex] f = \frac{9}{tan(60)} [/tex]

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

Rationalize

[tex] k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]

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

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

Mei runs 92.16 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day? THIS IS DUE IN 10 MINS

Answers

Step-by-step explanation:

Mei runs 6 days each week.

=> Mei runs 18 days in 3 weeks.

Since she ran 92.16 miles in 18 days,

She ran 92.16 miles / 18 days

= 5.12 miles/day.

IM IN DANGER OF FAILING PLEASE HELP ME

Answers

Answer:

Scale factor = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Scale factor of the two similar figures is given by the formula,

Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of Original}}[/tex]

Here, it's given that smaller figure = image

And larger figure = Original

Therefore, scale factor = [tex]\frac{15}{25}[/tex]

                                      = [tex]\frac{5\times 3}{5\times 5}[/tex]

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

Answer: Scale factor = [tex]\frac{3}{5}[/tex]

answer questions 15 and 16.

Answers

Answer:

Step-by-step explanation:

:(

Five basketball players try to make as many points as possible in each game. They have a mean of 12 points per game. If the first four players score 10, 14, 20, and 8 points each, how many points must the fifth player have made?

a. 20 points
b. 8 points
c. 12 points
d. 10 points​

Answers

I believe it's 12 points if I'm wrong I'm sorry hope this helps

Answer:

12 poibts i think sorry if wrong

Which expression results from using the Distributive Property? 2(5 + 3r)

Answers

Answer:

6r + 10

Explanation:

2(5 + 3r)

= (2)(5 + 3r)

= (2)(5) + (2)(3r)

= 10 + 6r

= 6r + 10

Thirty years ago Mike McNamara cycled 445.0km in 12 hours – a new British men’s record at that time. In the same time trial Beryl Burton (who died last year) completed 446.2km.

How much faster was Beryl Burton’s average speed than Mike McNamara’s (in metres per hour)?

Answers

Answer:

1000m/h

Step-by-step explanation:

You figure out both of the cyclists km/h times but converting their distance in the 12 hours into a rate

Mike McNamara:

[tex]\frac{445}{12}[/tex]

Beryl Burton:

[tex]\frac{446.2}{12}[/tex]

You then divide the denominator (12) by itself so that it becomes 1

Mike McNamara:

[tex]\frac{445}{12}[/tex] = [tex]\frac{445/12}{1}[/tex]

Beryl Burton:

[tex]\frac{446.2}{12}[/tex] = [tex]\frac{446.2/12}{1}[/tex]

You then divide the numerators by what you divided the denominator by (12) to get the km/h

Mike McNamara:

[tex]\frac{445}{12}[/tex] = 37.08km/h (rounded to two decimal places)

Beryl Burton:

[tex]\frac{446.2}{12}[/tex] = 37.18km/h (rounded to two decimal places)

You them have to convert km/h to m/h by multiplying the numerators (37.08 & 37.18) by 1000 to get the distance in metres

Mike McNamara:

37.08 x 1000

= 37080m

=37080m/h

Beryl Burton

31.18 x 1000

= 37180m

= 37080m/h

Therefore Beryl Burton's average speed was faster than Mike McNamara's by 1000m/h

A ball is projected vertically upward from the surface of the earth with an initial speed of 49 meters per second. The ball reaches its maximum height in 5.0s. What is the vertical velocity of the ball when it strikes the ground

A. 0 m/s
B. -9.8m/s
C. 49m/s
D.-49m/s

Answers

I believe the answer is choice B

Find the least common multiple of: 6, 3, 2

Answers

least common multiple of 6,3,2 is 6.

- 6 is the smallest number that is divisible by all three.

Answer:

.5

Step-by-step explanation:

halloween hut ordered 80 boxes with 20 costumes in each box. they also ordered 12 boxes with 90 masks in each box. how many more costumes than masks did they order?

Answers

80x20=1600 costumes
12x90=1080 masks
1600-1080=520
they ordered 520 more costumes than masks. hope this helps!

What is the slope of the line that passes through the points (-5,8) and (-11,8)?
Write your answer in simplest form.

Answers

Answer:

[tex]\displaystyle m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-11, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{8-8}{-11+ 5}[/tex][Fraction] Subtract/Add:                     [tex]\displaystyle m=\frac{0}{-6}[/tex][Fraction] Divide/Simplify:                  [tex]\displaystyle m=0[/tex]

which equivalent models the data in the table
y equals x minus 3
y = x + 3

y = x + 2
y equals 4X ​

Answers

Y=x+3
Substitute the numbers in the formula

Which expression is equivalent to (4g3h2k4)3

Answers

Answer:

d) [tex]8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

      [tex]\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]    [tex]= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

Step-by-step explanation:

Explanation

Given expression

           =     [tex]\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]

By using

        (ab)ⁿ = aⁿbⁿ

         [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]

   =     [tex]\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}[/tex]

After simplification , we get

  [tex]= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}[/tex]

 [tex]= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}[/tex]

[tex]= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )[/tex]

PLZZZ HELP ME ITS DUE TODAY AT 11:59, HELPPPP
1: In one year, Jerry lost $1,620 in the stock market. What was the average change in his stocks each months.
2: Devon lost 3 pounds each month for 7 months. What was the net change in Devons weight after the 7 months.

3: In a game, your score starts at 0. You lose four points three times in a row. You then gain two points. What is your score after those four turns?

Answers

Answer:

1) . Divide that number by 12 months

1620/12 = 135

2) 3 x 7 = 21

21 pounds lost

3) 0 - 4 - 4 - 4 + 2 = -10 points

hope this helps :)

Step-by-step explanation:

Answer:

1. 135

2. 21

3.-10

Step-by-step explanation:

learning task 5. identify what is asked item below.
1.what number i am between 21 and 31 a multiple of 4 and 7​

Answers

The number 28 is your answer

Find the x - intercept and
y - intercept of the graph of the
equation 4x + 7y = 6

Answers

Step-by-step explanation:

Step-by-step explanation:

x- intercept is the x coordinate when y is 0

4x + 7(0) = 6

4x = 6

x = 1.5

(1.5, 0)

y- intercept is when x is 0

4(0) + 7y = 6

7y = 6

y = 6/7

( 0, 6/7)

I hope this helps!!!

HELLO!

~ ★ Let x be the number4x + 7 (0) = 6  4x = 6  x = 1.54 (0) + 7y = 6 7y = 6 y = 6/7

✩✩✩

उपलब्धियों

the diameter of a cylinder is 8 inches. the height is 12 inches. what is the surface area of the cylinder?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}[/tex]

Step-by-step explanation:

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Height = 12 inches Diameter of base = 8 inches

Figure :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}[/tex]

[tex]\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}[/tex]

Hence the Surface area of the Cylinder is 402.28 in.³ .

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.

Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.

Now, the surface area of the cylinder is,

Surface area of the cylinder = Area of the bases + Area of the curved surface

= 2(πr²) + 2πrh

= 2(π × 4²) + (2 × π × 4 × 12)

= 2(50.265) + 301.5928

= 100.5309 + 301.5928

= 402.124 inches²

Hence, the surface area of the cylinder is 402.124 inches².

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Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15...
A. an = 9 + 2(n-1)
B. an = 9 + 2(n+1)
C. an = 9 + 2
D. an = 9 * 2(n)

Answers

Answer:

2n+7

Step-by-step explanation:

find the difference

and see the difference from the 2 Times table to the original sequence

and write it as an equation for this sequence

Answer:

A

Step-by-step explanation:

Which measurements could NOT represent the side lengths of a right triangle?
O 8 cm, 15 cm, 17 cm
O 20 cm, 21 cm, 29 cm
O 36 cm, 77 cm, 85 cm
O 7 cm, 28 cm, 32 cm

Answers

Step-by-step explanation:

A. 8 cm, 15 cm, 17 cm => This is a right triangle.

B. 20 cm, 21 cm, 29 cm => This is a right triangle.

C. 36 cm, 77 cm, 85 cm => This is a right triangle.

D. 7 cm, 28 cm, 32 cm => This is not a right triangle.

PLEASE HELP, TIME SENSITIVE




A rectangular paperboard measuring 35in long and 26in wide has a semicircle cut out of it, as shown below.



Find the area of the paperboard that remains. Use the value 3.14 for π(pi), and do not round your answer. Be sure to include the correct unit in your answer

Answers

Answer:

644.67 in^2 remaining

Step-by-step explanation:

So first find the area of this rectangle

rectangle area formula= A=LW

35*26=910

Now we have to find the semi circle value

so we know the diameter is 26 becuase the 2 sides (26 in) are equal and if you fill in the circle the diameter is still 26

A circle formula is

A= π*radius^2

So to find radius divide the diameter by 2

26/2=13

now 13^2=169

Now 169 *3.14 since asked that pi is 3.14

169*3.14=530.66

But Thats the whole circle

The circle that seems to be cut off is half of the original Circle so we half the original circle

530.66/2=265.33

Now we subtract that from the original

910-265.33=644.67

So

644.67 In^2

HELP ASAP PLS THANKS SO MUCH

Answers

Answer:

(-4,1)

Step-by-step explanation:

Multiply first equation by 2

4x+6y=-10

Then subtract with second equation you get:

y=1

So put the value in first equation you get :

2x+3=-5

x=-4

Find cos θ for θ = 60°

Answers

Question

Find cos θ for θ = 60°

3 points
6. Find out the missing
quantities in the
questions #2: In a
classroom the ratio of
girls to boys is 2:1. If there
are 24 girls, how many
boys are there? *
O A. 10 boys
O B. 11 boys
O C. 12 boys
OD. 13 boys

Answers

Answer:

12 boys

Step-by-step explanation:

2 : 1 = 24 : 12

Math problem please help

Answers

Answer:

[tex]\displaystyle -2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Average Rate of Change: [tex]\displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

a = 4

b = 8

f(4) = -1

f(8) = -9

Step 2: Find Average Rate

Substitute [ARC]:                    [tex]\displaystyle \frac{f(8) - f(4)}{8 - 4}[/tex]Substitute:                              [tex]\displaystyle \frac{-9 + 1}{8 - 4}[/tex][Frac] Add/Subtract:              [tex]\displaystyle \frac{-8}{4}[/tex][Frac] Divide:                         [tex]\displaystyle -2[/tex]
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