Answer:
c
Step-by-step explanation:
im on plato just passed the test
5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?
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.
You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.
Answer:
23.51m is the height
Step-by-step explanation:
the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51
Need answer quick please
In line 3, it will be 7x to the power 2 not 4.
So, the answer will be
[tex]{7x}^{2} + 2x - 1[/tex]
simplify (a-4b)(a-2b)
HELPPPPPP PLZZZ, find the height of the figure below with the given volume.
Choose all the expressions that have 23 as a product.
A. 45×56
B. 78×910
C. 13×23
D. 34×712
E. 67×79
Answer:
are you sure this is the right question? none of those have a sum of 23
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
i did this quick check
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in the speech club All students in each grade Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points) a All teachers in the school b All boys in each grade c All students in the speech club d All students in each grade
Answer:
D, all the students in each grade
Step-by-step explanation:
Since the teacher wants to find out the opinion of the the entire school, they should take a random sample from each grade because it is representative of the population they want to sample. If it was just boys, it would exclude the girls, and vice versa for the girls. The teachers aren’t part of the population the teacher wants to survey, so the teacher shouldn’t survey them. Thus, that leaves the random sample from each grade.
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT
Answer:
111*
Step-by-step explanation:
46*2=92
360-92-157=111
What fractions Equivalent to 1/2
Answer:
2/4 3/6
Step-by-step explanation:
any fraction where the numerator is half of the Denominator
A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
9514 1404 393
Answer:
310 calories (120 from fat)
Step-by-step explanation:
A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...
(1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza
If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
A snowstorm dropped three and two-fifths inches of snow. The next day one and four-fifths inches melted, how much snow was left?
Answer:
After the melting there were one and three fifths of snow left.
Step-by-step explanation:
Given that a snowstorm dropped three and two-fifths inches of snow, and the next day one and four-fifths inches melted, the following calculation must be performed to determine how much snow was left:
2/5 = 0.40
4/5 = 0.80
3.40 - 1.80 = X
1.60 = X
0.60 = 3/5
Thus, after the melting there were one and three fifths of snow left.
Help if you can -
8 commercials in 15 minutes
Find Unit Rate
Plzz show work!
Also, dont add any type of links
Thanks!! :D
Answer:
1.875 commercials a minute
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!
Answer: I believe it is 108 good luck girl
Jefferson purchased a jacket originally
priced $129 on sale for $90.30. What was the
percent of discount?
Which situation results in a final value of zero
Answer:
Step-by-step explanation:
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)
can u plz help me!? i need help
the answer is 4 buses
Step-by-step explanation:
because you multiply 30 times 4 and it gives you you the right answers
Please help Due in 3 Min!
What is the lateral area of the cone?
A student paid 256.37 in school fees how much has he paid to the nearest hundred
Answer:
300
Step-by-step explanation:
256.37 5 and 6 is high enoughh to boost that 2 up to a 3
Answer:
uhhh 256.37 is rounded to the nearest hundreth
Unless you mean hundred thwn it would be 300
please help me with this question!!
“Steven's mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of sugar in kilograms that Steven needs to buy?”. i DO NOT know the answer. it would be so awesome if someone could help.
Answer:
0.75
Step-by-step explanation:
there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.
I am giving 25 points! You don't have to answer the question :D
Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
Method used for each calculation
Sarah’s house (2,-5)
School (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
thanks i guess
Step-by-step explanation:
Solve the system: 35x=3y+5 49x=4y+9
PLEASE HELP NEED ASAP
Answer:
x = 1
y =10
Step-by-step explanation:
Eric is studying two number patterns. Pattern A starts at 0 and has the rule "add 6." Pattern B starts at 0 and has the rule "add 3." What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are 3 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A.
The terms in Pattern B are one third the corresponding terms in Pattern A.
The terms in Pattern B are one half the corresponding terms in Pattern A.
Answer:
D) The terms in Pattern B are one half the corresponding terms in Pattern A.
Step-by-step explanation:
Pattern A | Pattern B
0 divided by 1/2 = 0
6 divided by 1/2 = 3
12 divided by 1/2 = 6
18 divided by 1/2 = 9
24 divided by 1/2 = 12
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Vincent gathered groups of 1 to 8 people and gave every group the same positive salt. He recorded the number of minutes it took each you to solve the puzzle in Porter resort. What is the best description of this relationship
Answer:
Larger groups take less time
Step-by-step explanation:
Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
Answer: A=48
Step-by-step explanation:
Find the RANGE
135 120 125 133 66 78 81 91 145 135 68