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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
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.
I do not understand this
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Answer:
It would be C. The hexagon.
Answer:It would be C because you have 3 sides for the triangle than 4 sides for the rectangle, 5 sides for the pentagon, and 6 sides for the hexagon
Step-by-step explanation:
The mapping below shows y as a function fo x?
True
False
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Answer:
False
Step-by-step explanation:
x is the input and y is the output
the same input cannot have more than 1 output
-8 has 1 output
5 has 1 output
but "1" has 2 outputs
Evaluate the expression when c=5 and d=6.
7c+d.
Answers
Answer:
41
Step-by-step explanation:
Step 1:
7c + d Equation
Step 2:
7 ( 5 ) + 6 Input c and d
Step 3:
35 + 6 Multiply
Answer:
41 Add
Hope This Helps :)
C=5 & D=6
so u would when they ask 7C+D u have to add parentheses for the numbers that are getting plugged in
7(5) + (6) = 41
What is 7/8 x 4/5 divided by 7/20
Answers
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
Help Me pleasee i dont understand
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Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3
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I need Your help plish
Answers
Answer:
5
Step-by-step explanation:
Because there is zones
helpp ill mark u as brainlist
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Answer:
Assuming you want slope formula for this, it's y= (5/9)x -1
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
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EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:
111,111,102/9 = 12,345,678
so: 9 * 12,345,678 = 111,111,102
which also means
111,111,102/12,345,678 = 9 (with 0 as a remainder)
HELPP!!! I need help!
Answers
Answer: c.
Step-by-step explanation:
x^2 + 2x - 5 - (x - 3)
distribute the negative
x^2 + 2x - 5 - x + 3
combine like terms
x^2 + x - 2
Answer:
B
Step-by-step explanation:
You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds
Answers
Answer:
.44 repeating would be your decimal of dogs that weigh under 20 pounds.
Step-by-step explanation:
Answer:
.44
Step-by-step explanation:
Find the slope help plz
Answers
Answer:
The slope would be 10/15 or 2/3 in simplest form.
Five more than a number g is six less than twice a number h. Solve for g.
Answers
Answer:
g=2h-11
Step-by-step explanation:
You need to make the two sides equal, so add 6 to the left side:
[tex](g+5)+6=2h[/tex]
Solve for g
[tex]g+5+6=2h\\\\g+11=2h[/tex]
Isolate g
[tex]g=2h-11[/tex]
3.4 x 10^3 in standard notation
Answers
Answer:3400
Step-by-step explanation:
Answer:
3240
Step-by-step explanation:
3.24
×
10
3
=
3.24
×
1000
This means you move the decimal spot 3 digit spaces to the right.
Count 3 spaces:
3.2.4.0 →
3240
So then your number becomes
3240
A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36
Answers
Answer:
The answer is $6.00.
Step-by-step explanation:
They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.
The initial fee to enter the garage is option (C) $6.00.
What is the linear equation?The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equations is, T = 6 + 2.50 h
where, h is the parking hours and
T is the total charges in dollars.
The initial fee to enter the garage means there will be no fee for parking,
⇒ [tex]h=0[/tex]
Then the equation becomes,
⇒ [tex]T=6[/tex]
Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.
Learn more about linear equation here
https://brainly.com/question/19549073
#SPJ2
Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
F) (x, y ) → (2x, 2y)
G) (x, y ) → (1.5x, 1.5y)
H) (x, y ) → (3x, 3y)
J) (x, y ) → (4x, 4y)
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Answer:
F
Step-by-step explanation:
Five times the sum of a number n and seven
Hint- you need parenthesis
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The equation of the problem is [tex]5(n+7)[/tex]
The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.
5. Express 12⁄16 in quarters.
a. 1⁄4
b. 1⁄3
c. 2⁄4
d. 3⁄4
Answers
Answer:
D
Step-by-step explanation:
Divide 16 by 4 to get the denominator of 4. Then divide 12 by 4 to get three. Therefore your answer is D. 3/4
Answer:
3/4
Step-by-step explanation:
All I did was divide the top and bottom number by 4. 12/4= 3 and 16/4=4
What is an equation that is equivalent to -3/4x+1/8=-3/8?
Also the / is not a division symbol. The numbers with a / are fractions.
Answers
Hope this helps! Follow my Instagram trlamb822!
Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices
an = 9n + 6
an = 6n + 15
an = 6n - 15
an = 9n – 6
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======================================================
Explanation:
This sequence is arithmetic
The first term is a = -9
The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)
Plug those values into the arithmetic nth term formula below
an = a + d*(n-1)
an = -9 + 6*(n-1)
an = -9 + 6n-6
an = 6n - 15
--------------
As a check, let's plug in something like n = 1
an = 6n - 15
a1 = 6*1 - 15
a1 = 6 - 15
a1 = -9
We see that the 1st term is -9, which matches the sequence given
Now let's plug in n = 2
an = 6n - 15
a2 = 6*2 - 15
a2 = 12 - 15
a2 = -3
The 2nd term is -3. This also matches.
I'll let you check the other values of n to confirm the answer.
Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?
Answers
Answer:
$ 2,273.25
Step-by-step explanation:
The product of a number and is 3 Find the number.
Your answer
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-3 and -11/9 is 3(2/3)
Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.
Write the equation for finding the total cost of
a one-year swim pass.
Answers
Answer:
you pay 240 dollars a year
Step-by-step explanation:
y=20x
x is 12
20*12=
240
Answer: $250
Step-by-step explanation:
any luck of help? I'll brainlist uu promise . I really need it for correction :)
Answers
Answer:
the cist of entry for x adults
Answer:
i think it would be d)
Step-by-step explanation:
cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable
hope this helped :)
Ryan and two of his friends contribute $8.33 each, to buy a baseball bat from a sports shop. Find
the price of the baseball bat.
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Answer:
24.99
Step-by-step explanation:
please help this is very urgent!!! :((((
Answers
Answer:
7
Step-by-step explanation:
x = 2
3x/2+4
3(2)/2 + 4
3+4
7
What’s 19,975 divided by 25 show your work
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the answer to the question is 799
sum n=3 ^ infty (2n+5)
find the series shown
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=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
8. What is the result of (11x + 18i)(117 - 18i)?