Answer:
40 children went on the cruise.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:
[tex]22x + 10y = 774[/tex]
Since [tex]x = 57 - y[/tex]
[tex]22(57 - y) + 10y = 774[/tex]
[tex]1254 - 22y + 10y = 774[/tex]
[tex]12y = 480[/tex]
[tex]y = \frac{480}{12}[/tex]
[tex]y = 40[/tex]
40 children went on the cruise.
Help be genuine will mark brainliest
Naika took out a $29,300 5 year Federal Loan with an interest rate of 3.22%. She will
have to pay the loan back when she graduates in 4 years. The loan also gives her a
grace period of 12 months after graduation before she has to start making payments.
How much interest will accrue before she begins making payments on the loan?
9514 1404 393
Answer:
$4717.30
Step-by-step explanation:
Assuming the interest is capitalized only at the start of repayment, the accrued interest is ...
I = Prt
I = ($29,300)(0.0322)(4 +1) = $4717.30
The accrued interest is $4717.30.
PLEASE HELP ITS DUE SOON!!!!
2. Use the distributive property to write an expression that is equivalent to 12 + 4x.
Answer:
4(x+3)
Step-by-step explanation:
So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.
So lets think about it, what goes into both 12 and 4?
2 does, but is that the greatest common factor? No.
What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.
So, what do we get when we take 4 from 4x? We get 1x, or just x.
How about 12? Well, when we take 4 from 12, we get 3.
Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.
Remember that the greatest common factor, the one you took from the other numbers, is what goes first:
4()
Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.
Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:
4(x+3)
This is your expression.
Hope this helps! ;)
9514 1404 393
Answer:
4(3 +x)
Step-by-step explanation:
The greatest common factor is 4, so any divisor of that can be factored out:
12 +4x = 2(6 +2x) = 4(3 +x)
WILL MARK WILL MARK BRAINLEST
A large traffic cone stands 28 inches in height and has a volume of 732.7 cubic inches. What is the diameter of the base of the cone? Use 3.14 for π. Show your work.
Answer:
d=10.0002
Step-by-step explanation:
Given That:
Height=h=28 inches
Volume=V=732.7 cubic inches
Required:
Diameter of the base of the cone=d=?
Solution:
the formula for the volume of a cone is
re-arranging the terms to get the radius (r)
putting values, we get
to find the diameter we know that diameter is double of the radius so
d=2r
d-2(2.0051)
d=10.0002
a car travels at a constant speed of 20m/s.work out the time it takes for the car to travel 10 km. give your answer in minutes and seconds
Aaron has a pencil that is
foot long.
foot long. He has a pen that
is 0.7 foot long. Measured in
feet, how much longer is Aaron's
pencil than pen?
Answer: 0.1 ft longer
4/5 = 0.8
0.8 - 0.7 = 0.1
for the student store, sienna bought six packs of apple juice at $3.20 per pack. she sells each juice box at $.75 each. if she sells all the juice boxes in one day, how much profit will she get from selling these apple juice?
Answer:
Her profit would be $1.30
a. Estimate Kevin rode 30 km in 2 hours. At that rate, how long would it take him to ride 75 km? Estimate an answer. Then use a case 1-case 2 ratio box to solve this problem.
HELP ME PLS I WILL GIVE 25 POINTS!!
Answer:
B
Step-by-step explanation:
Hope I helped! I tried my best.
Answer:
B
Step-by-step explanation:
What is the measure of ZBAC?
Step-by-step explanation:
50°+50°+θ=180°
θ=180°-100°
θ=80°
Answer:
80 or b....................................
Select the equation that represents the problem. Let x represent the unknown. Ms. Flores bought 320 crayons for her class. that crayons came in packs of 20. how many packs did she buy? A. 320x=20 B. 320-x=20 C. 20x=320 D. x+20=320
50% of the 60 shoe options at Baby Steps, a shoe store, are sneakers. How many of the shoe options are sneakers?
Answer:
30
Step-by-step explanation:
50% is equivalent to 0.5 or 1/2. To find how many of the shoe options are sneakers, we multiply the total number of shoe options (60) by 0.5 to get 30.
What is the length of BE?
14 units
17 units
27 units
34 units
Answer:
you have to give is more than that
Step-by-step explanation:
mb 27
Answer:
the length of BE is 27 units
Step-by-step explanation:
i neeed help please i did not understand it
Answer:
[tex]15.71cm[/tex]
Step-by-step explanation:
[tex]10 \: \: years = 3.142 \\ 50 \: years = x \\ \\ 10 = 3.142 \\ 50 = x \\ cross \: \: multiply \\ 10x = 50 \times 3.142 \\ 10x = 157.1 \\ x = 15.71cm[/tex]
hope this helps you
can I have the brainliest please?
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).
z=
Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean[tex](\mu)[/tex] = 500 and a standard deviation[tex](\sigma)[/tex] = 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score = [tex]\dfrac{Y-\mu}{\sigma}[/tex]
Z-score = [tex]\dfrac{625-500}{100}[/tex]
⇒ Z-score = [tex]\dfrac{125}{100}[/tex]
⇒Z-score =1.25
Therefore , the required z-score = 1.25
Use the information provided to write the standard form equation of a
circle.
Center :(3,-2)
Point on Circle: (-3,-16)
Use this link to find your answer
https://lalinks.org/linksweb
*giving brainiest to the first correct answer. Write the equation of the line graphed.
Answer:
The equation of the line is x = 2
Answer:
x = 2
Step-by-step explanation:
When you are given a straight line whether it's horizontal or vertical on a graph and is told to write it as an equation,
it can be a horizontal line, y = the number the line is on from the y-axis
or a vertical line, x = the number the line is on from the x-axis.
In this case you have a vertical line so the equation would be
x = the number the line is on from the x-axis, which is 2 so your final answer would be
x = 2
-4r + 1 = -2r - 17
a. 9
b. 11
c. -18
d. -16
Find the whole amount of 8% of 72 cm
Answer:
5.76
Step-by-step explanation:
Answer:
5.76 cm
Step-by-step explanation:
8% * 72 = 5.76 cm
According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or younger have a food allergy. A day care program has capacity for 8 children in that age range. Assume that the children attending the day care program are independent. Let the random variable X be the number of children in this day care who have a food allergy. What is the probability that one of the eight children has a food allergy
Answer:
0.337 = 33.7% probability that one of the eight children has a food allergy.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
7% of U.S. children 4 years of age or younger have a food allergy.
This means that [tex]p = 0.07[/tex]
A day care program has capacity for 8 children in that age range.
This means that [tex]n = 8[/tex]
What is the probability that one of the eight children has a food allergy?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337[/tex]
0.337 = 33.7% probability that one of the eight children has a food allergy.
Suppose y varies directly as x. If y = 12 when x = 4:
Write the general variation equation
Find the constant of variation, k.
Write a variation equation relating x and y using the value of k found in b).
Find y when x = -5.
у
Answer:
y = -15
Step-by-step explanation:
Given that,
y varies directly as x i.e.
[tex]y\propto x\\\\y=kx[/tex]
Where
k is the constant of variation.
Put y = 12 and x = 4 to find k.
[tex]k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3[/tex]
Now put k = 3 and x = -5 and finding the value of y.
[tex]y=3\times -5\\\\y=-15[/tex]
So, the value of y is equal to -15.
PLS HELP WILL CHOOSE BRAINLY NO SENDING LINKS! Which conditions will result in the construction of a unique triangle? Select TWO answer choices.
Answer:
not sure about second, but one is the 30, 60, 90 angle triangle. That one i'm 100 percent sure of (30, 60, 90).
Step-by-step explanation:
Sketch pad and six pencils is $22.53. Sketch pad cost $9.99. Each pencil cost the same amount. How much does each pencil cost? Show your work.
Answer:
22.53-9.99=12.54
12.54 divided by 6 = 2.09
Each pencil costs $2.09
ANSWER THE QUESTION FOR BRAINLIEST
PartA: Explain why x=6makes 4x-5< 19.
Answer:
It doesn't.
Step-by-step explanation:
If you plug in 6 in the x spots you will have:
4(6)-5 < 19If you solve that, you will get:
19< 19So considering that they are the same number, this doesn't make sense because it should be an equal sign.
Have a nice day!!! Please mark Brainliest!
HELP PLS DUE IN 1 MIN HELPPPPPPP
G/4>12
Answer:
G>48
Step-by-step explanation:
48/4=12
G/4>12
G>12x4=g>48
Rose plans to have two children but doesn't know if they will be boy-boy, girl-girl, girl-boy, or boy-girl. What is the probability that she will have boy-girl? (1 point)
O 0.5
O 0.75
O 0.25
O 1.00
5.6(x - 3) = -0.4x + 19.2
Answer:
Step-by-step explanation:
Answer:
this is the answer hope it helps
I need help with this!!
Answer:
c
Step-by-step explanation: