Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?

Answers

Answer 1

Given:

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

There are 48 blue raspberry and cherry flavored ice sticks altogether.

To find:

The total number of ice sticks.

Solution:

Let x be the total number of ice sticks.

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Blue raspberry [tex]=\dfrac{2}{5}x[/tex]

Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]

                                   [tex]=\dfrac{3}{5}x[/tex]

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]

          [tex]=\dfrac{1}{5}x[/tex]

Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]

           [tex]=\dfrac{2}{5}x[/tex]

There are 48 blue raspberry and cherry flavored ice sticks altogether.

[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]

[tex]\dfrac{4}{5}x=48[/tex]

[tex]x=48\times \dfrac{5}{4}[/tex]

[tex]x=60[/tex]

Therefore, the total number of ice sticks is 60.


Related Questions

If the perimeter of the regular pentagon is 75 cm what is the length of each side

Plz help nowww

If you wanna be crowed a brainliest:-)

Answers

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

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Find |x| when x = – 15.
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when j= -8 and k= 7, the value of the expression is​

Answers

Answer: 539

Step-by-step explanation: PLATO and Edmentum

Expression will have a value of 116 for the specified values of j and k.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression  -4j + 12k

where given, j = -8

and k = 7

Substituting the values in the given expression

=> -4 * -8 + 12 *7

=> 32 + 84

=> 116

Therefore, the value of expression for the given values of j and k will be 116.

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Complete question:

when j= -8 and k= 7, the value of the expression -4j + 12k is​_____.

1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).

Answers

Answer:

y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

choose the correct congruence statement

Answers

Answer:

To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.

Step-by-step explanation:

HELP HELP HELP PLEASE

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Answer:

3/5 lmk if you need the work

Step-by-step explanation:

HURRY, PLEASE HELP!!!

Answers

Answer:

Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.

The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.

If 10^2=100,
10^3=1000
10^4=10000,
what is 1000^2/3

Answers

[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]

PLEASE HELP I WILL GIVE YOU BRINLIST
Which table of values represents the equation Cost = Number of toppings x 2 + 3 *

Answers

The second one

Ex;
2(0)+3=3
2(1)+3=7

!!!BRAINY AND 10 PTS!!!

Answers

Answer:

Top left

Step-by-step explanation:

Which statement is modeled by 2p + 5 < 11
Group of answer choices

The sum of 5 and 2 times p is at least 11

5 added to the product of 2 and p is less than 11

2 times p plus 1 is at most 11

the product of 2 and p added to 5 is 11

Answers

Answer: 5 added to the product of 2 and P is less than 11

The reason for this is because the inequality multiples 2 and the variable p, which is the product. Then, you have to add 5 to the product of 2p. Since the sign is opened towards the 11, this indicates that the sum of 5 and 2 times p is less than 11. Hope that helps!

Answers are 1.–70 2.–12 3.–74 4.–36

Answers

Answer:

3. -74

Step-by-step explanation:

[tex]12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74[/tex]

what point is on the graph of f(x) =6^x​

Answers

Answer:

The point (1 | 6) is on the graph.

Step-by-step explanation:

Answer:

it is 1/6

Step-by-step explanation:

If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?

Answers

Answer:

AAA

Step-by-step explanation:

GET ECKED

Answer:

13

Step-by-step explanation:

This is my first time posting, so sorry if this isn't that clear.

Anyways:

We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.

We can find the x-intercept by plugging in 0 as y. So:

x/4+0/12=1

x/4=1

x=4

a=4 (since a is equal to the x-intercept.)

We can find the y intercept by plugging in x as 0:

0/4+y/12=1

y/12=1

y=12

b=12

We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.

So, 12+4-3=13.

(In case you didn't know how I got y=-3x+12. This is how:

x/4+y/12=1

12(x/4+y/12)=1(12)

3x+y=12

y=-3x+12 )

Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.

Answers

Answer:

the input is the number or gallons aka b

the output is the balance in the account aka c

and the two points described are (5,442) and (13,226) aka c

Step-by-step explanation:

i did it on edge and got it right :)

Answer:

here the answer

Step-by-step explanation:

Express 48 1/4 in simplest radical form.

Answers

Convert the mixed number to an improper fraction...

To take a root of a fraction, take the root of the numerator and denominator separately

Final answer should be around 6.94622

State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.

Answers

Answer:

The correct answer is:

The data are continuous because the data can take on any value in an interval. (C)

Step-by-step explanation:

Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete

Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.

What is the value of x? Enter only the number in the box! Help Asap​

Answers

Answer:

x = 5

Step-by-step explanation:

90 - 55 = 35

8x - 5 = 35

    +5    +5

8x = 40

x = 5

I NEED HELP NOWWWWW AHHHHHHHHH IM SO DUMB AND THANK YOU FOR HELPING ME

Answers

Answer:

9

Step-by-step explanation:

someone help me on my homework before i lose my sanity pls its my most recent question im done <3

what is the next 3 terms for (-6,42,-294,2058)

Answers

Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

Slove 4(5x-2)= 2(9x+3)

Answers

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.

Answers

Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².

How to find the area under a graph?

The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.

The velocity time graph given in the problem can be used to find the distance travelled.

The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.

This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.

Now, the total area is given as,

1/2 × b × h + l × b

= 1/2 × 4 × 8 + 8 × 10

= 16 + 80

= 96

(b) The acceleration is given as the rate change of velocity with respect to time.

The acceleration in first 4 seconds is given as,

a = (8 - 0)/4

   = 2

Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.

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The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.

Answers

Answer:

103 at most and 87 at least

Step-by-step explanation:

95-8=87 seeds

95+8=103 seeds

Answer with step-by-step explanation:

Max: 25 + 3 = 28

Min: 25 - 3 = 22

Hope this helped!

Helpppp!! I don't understand this??????
At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other???????

Answers

Answer:

$3.77

Step-by-step explanation:

First, add all of the numbers together:

$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65

Next, divide that number by the number of numbers:

22.65/6=3.77

<3

what 3+6+9
answer 4 pointss

Answers

ayo the answer is 18.

Answer:

3+6+9

9+9= 18

Therefore 3+6+9=18

Give 5 reasons explaining why math is your favorite subject.

Give 5 reasons why you dont like math.

Give 5 areas that math can help you now or in the future.

Answers

Answer:Math is important

Step-by-step explanation:

It could help you get into collage and get a good job and with that you could start your life.

Answer:

1.)

I love working with numbers

I love math because of what a challenge it is

I love math because I can become a engineer

I love math because I can also become a doctor with it

I love math because it is useful

2.)

I don't like math because of the word problems

I don't like math because it sometimes gets too easy

I don't like math because I usually have to help others

I don't like math because people call me a nerd

I don't like math because it makes me explain in words

3.)

when your in the store and it helps you with knowing how much your spending

lets you know about if the discount in the store is really good or bad

helps you with becoming certain things when you grow up

it will help you with most of your jobs

Will help others if you know it, you can share your knowledge

Step-by-step explanation:

brainlist pls :>

PLEASE HELP! WILL GIVE BRAINLIEST AND 30 POINTS!

What is the range of possible values for x?
The diagram is not to scale.
Answer in this format: a < b < c

Answers

Have you figured out the answer to this yet

How to factor y^3 +2y^2 + 2y + 1

Answers

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1  

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

      = -1 + 2 - 2 + 1

      = 0

As, P(-1) = 0, (y + 1) is a factor.

  Use synthetic division or remainder theorem.

-1        1          2           2           1

           0        -1            -1         -1        

           1          1            1            0

quotient = y² + y + 1

y³ + 2y² + 2y + 1  = ( y + 1) (y² + y + 1)

 

What is the value of x in the equation x*3 = 27 512 ?

Answers

Answer:
9,170.67

Explanation:
27,512 divided by 3 = 9,170.67
X=3

New equation:
9,170.67 * 3 = 27,512
Sorry if this is wrong

x-7(x-2)=10x+9-x
i need the answer asap pls

Answers

Step-by-step explanation:

x−7(x−2)=10x+9−x

Step 1: Simplify both sides of the equation.

x−7(x−2)=10x+9−x

x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)

x+−7x+14=10x+9+−x

(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)

−6x+14=9x+9

−6x+14=9x+9

Step 2: Subtract 9x from both sides.

−6x+14−9x=9x+9−9x

−15x+14=9

Step 3: Subtract 14 from both sides.

−15x+14−14=9−14

−15x=−5

Step 4: Divide both sides by -15.

−15x−15=−5−15

x=13

Answer:

x=13

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