: A pack of crayon was shared between two friend Shantel and Carl in the ratio 3:5. If Shantel received 27 crayons, how many crayons were in the pack? *

Answers

Answer 1

Answer:

72 crayons

Step-by-step explanation:

8/3 × 27 = 72 crayons


Related Questions

The man brought three buses for 9694820. One bus cost Rs352750
another us cost Rs 3029870. Find the cost of third bus.​

Answers

Answer:

Cost of 3 buses = 9694820

cost of 1 bus=352750

cost of another bus=3029870

cost of the third bus= 9694820-(352750+3029870)=6312200

A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plates from 1 to 30 on his press. If he uses x metal plates, they will produce x copies of the poster with each impression of the press. The metal plates cost $20.00 to prepare, and it costs $125.00 per hour to run the press. If the press can make 1000 impressions per hour, how many metal plates should the printer make to minimize costs

Answers

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

[tex]\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}[/tex]

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

The total cost can be computed as:

[tex]C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)[/tex]

[tex]C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)[/tex]

At C'(x) = 0

[tex]\dfrac{12500}{x^2} = 20[/tex]

[tex]\dfrac{12500}{20} = x^2[/tex]

[tex]x^2= 625[/tex]

[tex]x = \sqrt{625}[/tex]

x = 25

[tex]C'' (x) = -12500 \times \dfrac{-2}{x^3} +0[/tex]

[tex]C'' (x) = \dfrac{25000}{x^3}[/tex]

where; x = 25

[tex]C'' (x) = \dfrac{25000}{25^3}[/tex]

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

35_56×34
help pls
I need it​

Answers

Answer:

_1869

Step-by-step explanation:

step by step

35-56 × 34

Multiply 56 and 34 to get 1904.

Subtract 1904 from 35 to get -1869.

= -1869

I

Answer:

1904 IS THE ANSWER YOU CAN CHECK THIS EQUATION IN YOUR MOBILE'S CALCATOR

2
Draw all the lines of symmetry on a diagram of a regular:
a
hexagon
b
heptagon
с
Octagon​

Answers

Answer:

hi ahmm.i want to say that it is to draw I thought it is a question but it is actually to draw so u should draw this all shapes

solve the following equation algebraically please

Answers

Answer: A

Step-by-step explanation:

What is 5x + 7 > 37 I am really stuck

Answers

Answer:

x > 6

Step-by-step explanation:

Problem: 5x + 7 > 37

Subtract 7 from both sides: 5x > 30

Divide both sides by 5: x > 6

Answer: x > 6

45 is what percent of 82
what percent of 5 is 26
Round each answer to the nearest TENTH!

HELP FINALS TODAY :(

Answers

Answer:

45 is 54.9 percent of 82.

26 is 520% of 5.

Answer:

45 is 55% of 82 and 520% of 5 is 26.

Step-by-step explanation:

First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.

One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?

x = −5
x = −1
x = 1
x = 5

Answers

Answer: x = 5

Step-by-step explanation:

x² - 2x - 15 = 0

x² + 3x - 5x - 15 = 0

x(x + 3) - 5(x + 3) = 0

Therefore, x + 3 = 0

x = 0 - 3 = -3

Also, x - 5 = 0

x = 0 + 5 = 5

Therefore, the solutions to x² - 2x - 15 = 0 is x = -3 and x = 5. Therefore, the correct option is D.

Rubber balls are packaged in a box with dimensions 8.5 cm, 5 cm, 5 cm.
Each ball has a diameter of 3 cm. If there are a dozen balls in the box, how
much space in the box is not occupied by the rubber balls? Round your
answer to the nearest tenth.

Answers

Answer:

42.9 cm^3

Step-by-step explanation:

Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3

Radius of a ball = 1.5 cm

Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3

Volume of the balls = 14,137167 x 12 = 169,646003 cm^3

Final answer = 212.5 - 169,646003 = 42.9 cm^3

If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ?

Answers

Answer:

The value of h(g(3)) is 17.

Step-by-step explanation:

We are given these following functions:

[tex]g(x) = x^2 - 5[/tex]

[tex]h(x) = 7x - 11[/tex]

h(g(3)) ?

[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]

At x = 3

[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].

The value of h(g(3)) is 17.

find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm​

Answers

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism.

Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]

[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]

[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

432 cubic centimeters

Volume of a rectangular prism is
Length x width x height

9 x 6 x 8 = 432

Volume is measured in cubic centimeters, in this case.
Hope this helps!

please i need help!!!!!!!

Answers

Answer:

m∠NPQ=2×m∠NRQ

or m∠NRQ=1/2×m∠NPQ

=1/2×90

= 45

m∠NRQ=45

-----------------------hope it helps...have a great day!!

i need help, this is for a final

Answers

Step-by-step explanation:

Since the two triangles are similar

Then the ratio of sides are equal

Then MK:ML =JH:JI

Sub in this and you will get x =64.1

Solve lxl + 7 < 4.
{x l x < -11 or x > -3)
{x 1-3

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

Subtracting 7 from both sides gives you ...

  |x| < -3

The absolute value cannot be negative. There is no solution.

Find Q
A. 40
B. 80
C. 130
D. 260

Answers

Answer:

The answer is C!!!!!!!!



The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the
triangle.

Answers

Answer:

Step-by-step explanation:

Let x be the height ..... then the base = 2x + 2

So we have

Area = (1/2) (base) (height)

20 = (1/2)(2x + 2)(x) simplify

20 = x (x + 1)

20 = x^2 + x subtract 20 from both sides

x^2 + x - 20 = 0 factor

(x + 5) ( x - 4) = 0

Only the second factor makes sense

x - 4 = 0 add 4 to both sides

x = 4 ft and this is the height

And the base = 2(4) + 2 = 10 ft

If f(x) = 2x² - 4x and g(x) = 5 - 2x, evaluate fx) - g(x) for x = 5.
A 15
B 5
C 35
D. 20
ET

Answers

Answer:

35

Step-by-step explanation:

2x² - 4x- (5 - 2x)

2x² - 4x - 5 + 2x

2x²-2x - 5 = f(x) - g(x)

Now use 5

[tex]2 ({5}^{2} ) - 2(5) - 5 \\ = 35[/tex]

For brainlest pls ..

Answers

39 (Hope you understand )

Answer:

A = 39 ft²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 6, b₁ = 9, b₂ = 4 , then

A = [tex]\frac{1}{2}[/tex] × 6 × (9 + 4) = 3 × 13 = 39 ft²

An angle in standard position measures
radians.
8
In which quadrant does the terminal side of this angle lie?

Answers

Answer:

The angle is in the third quadrant

1:prove that the tangent at the point (1,-2) to the circle x²+y²=5 also touches the circle x²+y²-8x+6y+20=0 .Also find the point of contact.
2:find the length of tangent to the circle
3x²+3y²-7x-6y=12 drawn from (6,-7)​

Answers

#1

Circle 1 has center at (0, 0)

The tangent passes through the center and point (1, -2).

Equation of tangent at (1, -2):

x*1 + y*(-2) = 5x - 2y = 5x = 2y + 5

If the same line is tangent to circle 2 then they have one common point.

Solve the system:

x = 2y + 5x² + y² - 8x + 6y + 20 = 0

Substitute x:

(2y + 5)² + y² - 8(2y + 5) + 6y + 20 = 04y² + 20y + 25 - 16y - 40 + 6y + 20 = 05y² + 10y + 5 = 0y² + 2y + 1 = 0(y + 1)² = 0y + 1 = 0y = -1 ⇒ x = 2(-1) + 5 = -2 + 5 = 3

We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.

#2

Given circle:

3x² + 3y² - 7x - 6y = 12 and external point (6, -7).

Rewrite the equation of the circle as:

3x² + 3y² - 7x - 6y = 12x² + y² - 7/3x - 2y = 4x² - 2*7/6x + 49/36 + y² - 2y + 1 = 4 + 49/36 + 1(x - 7/6)² + (y - 1)² = 229/36

The center is (7/6, 1) the radius is √229/36

The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:

t² = d² - r²t² = (6 - 7/6)² + (-7 - 1)² - 229/36t² = 36 - 14 + 49/36 + 64 - 229/36t² = 86 - 180/36t² = 81t = 9

What is an equation of the line that passes through the points (-2, 3) and (6, -1)?

Answers

Answer:

y = (-1/2)×X + 2

Step-by-step explanation:

the steps are in the pic above.

34/4 as mixed fraction?​

Answers

Answer:

8/24

Step-by-step explanation:

Answer:

Mixed fraction: 8 1/2

Step-by-step explanation:

34/4

Divide 34/4 = 8.5

.5 = 1/2

Mixed number form: 8 1/2

Angles D and G are complementary. What statement must always be true about angles D and G?

Answers

Answer:

They will never intersect. I'm pretty sure that is right

Which line is perpendicular to a line that has a slope of 1 half

Answers

Answer:

-2

Step-by-step explanation:

1/2 slope

flip fraction 2/1

change sign -2/1 or -2

What is the base of the expression (Eleven to the power of 12)? 3 11 12 21

Answers

Answer: 11

Step-by-step explanation:

when the question asks you what is the BASE of the EXPRESSION it means that the base is always the BIGGER number which is 11 and the power which is ALWAYS ON THE TOP RIGHT which is 12

hope that helps

Evaluate given function. Pleas helpp

Answers

Answer:

[tex]f(9) =-80[/tex]

Step-by-step explanation:

Given

The attached functions

Required

Find f(9)

We have:

[tex]f(x) =-x^2 - 2x + 19[/tex]

So:

[tex]f(9) =-9^2 - 2*9 + 19[/tex]

[tex]f(9) =-81 - 18 + 19[/tex]

[tex]f(9) =-80[/tex]

I NEED THIS QUICK!!

Tanisha paid $35 for 7 movie tickets.

How much would 15 movie tickets cost?


$55

$60

$65

$75

Answers

Answer:

$75

Step-by-step explanation:

$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!

537 miles in 30 hours

Answers

17.9 miles per minute or 1074 miles per hour

The following tables each show the amount of money, in dollars, in four different bank accounts over time.

Which table best represents an exponential relationship?

A.
Years 1 2 3 4 5
Account Balance 1100.00 1350.00 1600.00 1850.00 2100.00
B.
Years 1 2 3 4 5
Account Balance 1100.00 1210.25 1320.50 1430.75 1541.00
C.
Years 1 2 3 4 5
Account Balance 1100.00 1190.00 1340.00 1550.00 1820.00
D.
Years 1 2 3 4 5
Account Balance 1100.00 1210.00 1331.00 1464.10 1610.51

Answers

Answer:

C

Step-by-step explanation:

it is not my percentage, it is not constant, it is increasing over time

The answer is going to be c I got it right

can you guys help me measure x

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

x = 102

Step-by-step explanation:

The angles form a straight line

Angles that form a straight line add up to equal 180

Hence, x + 78 = 180

Subtract both sides by 78

180 - 78 = 102

78 - 78 cancels out

Were left with x = 102

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