Item 8 A container has peppermint gum and spearmint gum. There are 18 pieces of peppermint gum in the container and the ratio of peppermint gum to spearmint gum is 2 : 3. Find the number of pieces of spearmint gum in the container.

Answers

Answer 1

Answer:Number of Spearmint gum = 27 pieces

Step-by-step explanation:

step 1

Let the total number of peppermint gum and spearmint gum in the container = X

Ratio of peppermint gum to  spearmint gum=  2 : 3.

Total ratio = 2+ 3=5

Step 2

we were given that  peppermint gum= 18 pieces , so total number of gums  will be calculated as

Ratio of peppermint/ Total ratio x Total number of gums = Number of peppermint

2/5 x X= 18

X=(18X 5) / 2 = 45

X=  Total number of gums = 45

Number of spearmint gum  will now be

Ratio of spearmint/ Total ratio x Total number of gums = Number of spearmint

3/5 x 45= 27

Therefore Number of Spearmint gum = 27 pieces


Related Questions

A quarter of five less than a number is no more than a third of five more than the same number.

Which of the following inequalities fits the description above?

(1 point)

14(x−5)≤13(x+5)

14(5−x)≤13(5+x)

14×5−x≤13×5+x

x−14×5≤x+13×5

Answers

Answer:

I am pretty sure its a... im doing the same thing and i am kinda thinking its that.

Step-by-step explanation:

please help this is the only question im stuck on

Answers

i think a, bc for the x it’s 2x and the y is +5

Simplify:

√5 ⋅ √12 ⋅ √50

O 10√30


O 10√10


O 7√30


O 7√10

Answers

Answer:

The answer is A 10squareroot of 30

Step-by-step explanation:

hope that helps you

As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.

Answers

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

Find the domain and range of y=-5x-1

Answers

Answer:

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Step-by-step explanation:

Finding the domain:

The domain of a function is the set of possible input values for which the function is real and defined.

Given the function

[tex]y=-5x-1[/tex]

The function has no undefined points nor domain constraints. Hence, the domain is

[tex]-\infty \:<x<\infty \:[/tex]

i.e.

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Finding the range:

The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.

The range of polynomials with odd degree is all the real numbers.

Hence, the domain is

[tex]-\infty \:<y<\infty \:[/tex]

i.e.

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?

Answers

Answer:

Step-by-step explanation:

7

Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units

Answers

C) reflection over the x-axis


What is the equation of the line?

Answers

Answer:

y=-3x-3

Explanation:

If you do rise over run, you would see it goes down then right making it negative. It goes 3 down and 1 right making the slope -3. It crosses the y axis at -3 so the y intercept is -3. Have a good day

Compute the difference when 16 ÷ 4 × 2 is subtracted from 16 × 4 ÷ 2.

Answers

Answer:

-14

explanation:

(16 ÷  4 )x 2)-(16 x 4 )÷ 2)

so 16 ÷ 4 is 4.

4x2 is 8

16x4 is 32

32 ÷ 2 is 16

2-16

-14

so basically its 14

if i got it wrong it can be 24

Write in slope-intercept form an equation of the line that passes through the given points. (-1, -1) (1, 5)

Answers

Answer:

Step 1: We need to find the slope (or m) FIRST using slope formula*.

[tex]m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3[/tex]

m = 3

Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.

[tex]5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b[/tex]

b = 2

Step 3: Now we put it all together we get our equation in slope-intercept form**.

[tex]y = 3x + 2[/tex]

**Slope-intercept form: [tex]y = mx + b[/tex]

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

What the equation of this graph in slope-intercept form?

Answers

Answer:

y= 3/5x + 3

Step-by-step explanation:

slope= 3/5

y intercept= 3

Answer: [tex]y=\frac{3}{5} x+3[/tex]

Step-by-step explanation:

To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).

[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]

Now that we know the slope, we can plug in any point to find the y-intercept.

[tex]3=\frac{3}{5} (0)+b[/tex]            [multiply]

[tex]b=3[/tex]

Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].

What is the volume of the following rectangular prism? 4/3 units 23/4 units 2

Answers

Answer: 7 2/3

Step-by-step explanation: got it wrong and it showed me the right answer on khan academy

The volume of the rectangular prism is 23/3 units³.

We need to find the volume of the following rectangular prism.

What is the formula to find the volume of the rectangular prism?

The formula to find the volume of the rectangular prism is Volume=l×b×h.

Now,

Height of the rectangular prism = 4/3 units

Area of one of the surfaces of the rectangular prism = 23/4 units²

The volume of the rectangular prism = 4/3 units × 23/4 units²

= 23/3 units³

Therefore, the volume of the rectangular prism is 23/3 units³.

To learn more about the volume of the rectangular prism visit:

https://brainly.com/question/21308574.

#SPJ2

A family purchased tickets to a museum and spent a total of $70.00. The family
purchased 5 tickets. There was a $1.50 processing fee for each ticket. Write and solve
an equation that can be used to find x, the cost of one ticket to the museum. The equation must involve a variable. Show your work or explain your answer.

Answers

Answer: 12.5

Step-by-step explanation:1.50*5=7.5

7.5-70=62.5

62.5 divided by 5 = 12.5

x(5)+1.50=70
-1.50. -1.50
x(5)= 68.5
__ ___
5 5
x=13.7

hope this helps :)

How do you write 66% as a decimal?​

Answers

Answer:

0.66

Hope this helps!

Answer:

0.66

Step-by-step explanation:

Move the decimal twice to the left whenever you try to convert a percent to a decimal

How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer: 28.5 hrs x 7.75 = $220.875
This can be rounded up to $220.90

Hope this helps :)

Answer:

$220.88

Step-by-step explanation:

iven: PA = PC and BA = BC. Use the diagram to find the length described.

Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?

pabc

AC is
cm in length.

Answers

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[tex]BA = BC = 12[/tex]

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[tex]AC = BA + BC[/tex]

[tex]AC = 12 + 12[/tex]

[tex]AC = 24[/tex]

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There are
150
150150 students in an eleventh grade high school class. There are
45
4545 students in the soccer team and
35
3535 students in the basketball team. Out of these students, there are
20
2020 who play on both teams.
Let
A
AA be the event that a randomly selected student in the class plays soccer and
B
BB be the event that the student plays basketball. Based on this information, answer the following questions.
What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the student plays soccer?

What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that the student plays basketball?

What is
P
(
A
and
B
)
P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the student plays soccer and basketball?

What is
P
(
A
|
B
)
P(A | B)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, the conditional probability that the student plays soccer given that he or she plays basketball?

Answers

Answer:

P(a)=0.3

P(b)=0.23

P(a&b)=0.13

P(a|b)=0.57

Step-by-step explanation:

Girl can I say this was very hard to read try better next time

By using a venn diagram we can figure out that out of the 150, 45 play soccer, 35 play basketball, 20 play both, 25 play exclusively soccer and 15 play exclusively basketball and 60 students in total play either

Let A be the probability of a student playing soccer and B be the probability of a student playing basketball

P(A)= 45/150

P(B)=35/150

P(A&B)=20/150

P(A|B)= 20/35

a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal​

Answers

Answer:

Step-by-step explanation:

Given

A metal block has a mass = 60kg

volume = 0.5 meter cube

Solution

Density=masala volume

Density=60/0.5

Density of the metal=120kg/m^3

Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

We can use the markdown formula to solve this question because it is the same type of problem.

= R x P

1. = 500 x 0.04

= 20

2. 500 - 20

= 480

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Key: R = Percentage Rate P = Original Price

prove y=6x-24 and y=1/6x +4 are inverse functions ​

Answers

Answer:

Answered

Step-by-step explanation:

Answer:

well you did the law of inverse on 6x you proved it by putting the one above it and switched the minus with a plus and divided 24 by 6

Step-by-step explanation:

Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.

Answers

Answer: YZ = 13

Point Y is between the points X and Z => XY + YZ = XZ

=> 3x - 4 + 2x + 3 = 24

<=> 5x - 1 = 24

<=> x = (24 + 1) : 5 = 5

with x = 5 => YZ = 2.5 + 3 = 13

Step-by-step explanation:

The length of segment YZ can be found using the segment addition

postulate that specifies the relationship between the segments.

The numerical length of YZ is 13

Reasons:

The given location of point Y = Between points X and Z

Length of XY = 3·x - 4

Length of YZ = 2·x + 3

Length of XZ = 24

Required:

The length of YZ

Solution:

XY + YZ = XZ according to segment addition postulate

Therefore;

3·x - 4 + 2·x + 3 = 24

Which gives;

5·x - 1 = 24

5·x = 24 + 1

[tex]x = \dfrac{24 + 1}{5} = 5[/tex]

x = 5

YZ = 2·x + 3

Therefore;

YZ = 2 × 5 + 3 = 13

The numerical length of YZ is 13

Learn more here:

https://brainly.com/question/4710687

Simplfy 7xy + 8x + 5xy + 6x

Answers

Answer:

12xy+14x

Step-by-step explanation:

12xy+14x

Hope this helps :3

Answer:

12xy + 14x

Step-by-step explanation:

I believer this is correct

is there a different way we can do it?

Answers

Do what what what what

PLEASE HELP THIS HARD Ali deposits her weekly paycheck of $412.60 and withdraws $40 cash from her bank account each week. If her starting balance was $315.85, what is her balance after 3 weeks?

Answers

Answer:

Step-by-step explanation:

jjjj

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.

Answers

9514 1404 393

Answer:

  Each strawberry contains 4 calories

Step-by-step explanation:

The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.

Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

  Each strawberry contains 4 calories

Answer:

its 4 calories, A

Step-by-step explanation:

i just got it right on edge

PLEASE SOLVE, IN A HURRY!!!
WILL NAME BRAINLIEST!!!!

Answers

Answer:

394 miles.

(its hard to explain but you need to spit 1356 and add 284 to one half)

Answer:

820

Step-by-step explanation:

Let us call the trip back x. The trip back is 284 miles smaller than the trip back, so our equation can be:

x + x + 284 = 1356

2x + 284 = 1356

2x = 1072

x = 536

The we do 536 + 284 because the trip there was 284 miles longer, so that is 820

complete factorization for -20x - 5y

Answers

Answer:

-5 (4x+y)

Step-by-step explanation:

Factor out -5, and -20/-5=4, -5/-5=1.

In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.

Answers

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°


Find the value of x that makes A||B.

22 = 3x - 20 and 25 = x + 20
x = [?]
Enter

Answers

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[tex]angle \: 2 \: = angle \: 5[/tex]

[tex]3x - 20 = x + 20[/tex]

Add sides 20

[tex]3x - 20 + 20 = x + 20 + 20[/tex]

[tex]3x = x + 40[/tex]

Subtract sides x

[tex] - x + 3x = - x + x + 40[/tex]

[tex]2x = 40[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]

[tex]x = 20[/tex]

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Determine whether the lines with the given slopes are parallel, perpendicular, or neither.

m1= 1/2 & m2= 0.5

Answers

Answer:

The given lines are parallel.

we already know that for parallel condition we apply;

m1=m2

1/2=0.5

0.5=0.5

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