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?
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.
Which numbers below are solutions to the inequality 4y+3≤−7?
Answer:
answer is in picture
Step-by-step explanation:
Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?
Bus A runs every 6 mins
Bus B runs every 8 mins
What bus can she catch and what time?
Answer:
every 8 mins
Step-by-step explanation:
bus b
how many times 92 go in too 100
Answer:
5
Step-by-step explanation:
Answer:
1 time
Step-by-step explanation:
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
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
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your brother is 1/2 your age.your sister is 5 years older than your brother . your sister is 15 years old write and solve an equation to find your age x
pls help me I will mark brainleyest
help me with this please
Answer:
26
Step-by-step explanation:
square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26
Answer:
26
Step-by-step explanation:
2(square root of 81)+square root of 64
2(9)+8=
18+8=
26
Six students are working to simplify the expression shown 4y+13x-5+6y-x
Answer:12x+10y-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the distributive property
to expand -4(-2/5+3x)
Which is an equivalent expression?
Answer:
8/5-12x
Step-by-step explanation:
-4(-2/5+3x)
Multiply each term inside the parentheses by -4
-4 * -2/5 + -4 * 3x
8/5-12x
Answer:
-1.6+12x
Step-by-step explanation:
First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x
What is 7/8 x 4/5 divided by 7/20
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.
Please help me i will mark you brainliest
y = -11x2 – -52 or y = -5.5x – 52
The product of a number and is 3 Find the number.
Your answer
What is an equation for the line that passes through (6,-5) and (-8,16)
Answer:
y=mx
Step-by-step explanation:
i think thats the equation am pretty sure tho
sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
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]
Which point is an example of a y intercept?
A. (-2, 8) B. (3, 4)
C. (0, -4)
D. (5,0)
what is 2 to the power of 8 minus 10 minus 15 divided by 3
Answer:
241
Step-by-step explanation:
241
Answer:
241
Step-by-step explanation:
2^8 - 10 -15 / 3
256 - 10 - 15 / 3
256 - 10 - 5
246 - 5
241
Hope this helps!
*
ate: Find 8% of 40.
nt)
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
Help please I’lol really appreciate it
Answer:
j+z+12
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints. 8) (4, -6), (-4,8) A) (0, 1) C) (4, -7) B) (-12, 22 D) (-1,2)
Answer:
(0, 1)
Step-by-step explanation:
The formula is pretty straightforward you just need to plug in the numbers you have
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
Answer:
.44 repeating would be your decimal of dogs that weigh under 20 pounds.
Step-by-step explanation:
Answer:
.44
Step-by-step explanation:
Which is equivalent to
Answer:
-12
Step-by-step explanation:
-36 divided by 3 = -12
HELPP ME PLEASEEE
ill give brainiest to whoever answers first
Answer:
the answer is d
Step-by-step explanation:
it would be 9.7 x 10^3
is 7.66 a rational number
Answer:
yes
Step-by-step explanation:
-2/5x=-5 What is this?
Answer:
25/2 or 12 1/2 or 12.5
Step-by-step explanation:
Five times the sum of a number n and seven
Hint- you need parenthesis
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.
The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?
Answer:
10 is the answer. 1:50 is 10:500 simplified
Step-by-step explanation:
500÷50=10.
a mercury thermometer records a temperature of 8 degrees fahrenheit at 10 a.m. if the temperature drops by 3 degrees fahrenheit every hour what will be the temperature by 2 p.m. of the same day
Answer:
-4 Degrees Fahrenheit
Step-by-step explanation:
Given
[tex]Initial\ Temperature = 8[/tex] ---- at 10am
[tex]Difference = -3[/tex]
Required
Determine the final temperature at 2pm
First, we need to determine the hour from 10am to 2pm (Both inclusive)
[tex]Interval = 2pm - 10am + 1hr[/tex]
[tex]Interval = 4hr + 1hr[/tex]
[tex]Interval = 5hr[/tex]
To solve further, we make use of the following Arithmetic Progression formula:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 8[/tex] --- Initial
[tex]d = -3[/tex] --- difference
[tex]n = 5[/tex] -- 5th term
[tex]T_n[/tex] --- Final temperature at 2pm
So: we have:
[tex]T_n = 8 + (5 - 1) * -3[/tex]
[tex]T_n = 8 + (4) * -3[/tex]
[tex]T_n = 8 + 4 * -3[/tex]
[tex]T_n = 8 -12[/tex]
[tex]T_n = -4[/tex]
Hence:
The temperature is -4 Degrees Fahrenheit
A car travels 30.5 miles in of an hour. What is the average speed, în miles per hour
of the car?
Answer:
rounded to the nearest hundredth its 46.21
Step-by-step explanation:
trust im smart
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
======================================================
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.