Directions: Solve the following problems.
1) There are 60 students and 13 teachers on a bus. What is the ratio of students to teachers?
2) There are 40 boys and 16 girls in a class of students. What is the ratio of girls to students?
3) A cat gave birth to 11 calico kittens and 16 non-calico kittens. What is the ratio of calico kittens to non-calico kittens?
4) Seven (7) adults and 10 children attended a play. What is the ratio of children to attendees?
5) A dog gave birth to 9 puppies, of which 2 are brindle. What is the ratio of brindle puppies to non-brindled puppies?
6) Out of 28 teenagers and adults, people, 12 adults attended a music concert. What is the ratio of teenagers to attendees?
7) Out of 22 cakes baked today, 11 cakes were baked in the morning. What is the ratio of cakes baked in the morning to the total cakes?
8) There are 110 students on a bus filled with 129 people. What is the ratio of students to teachers?
9) The ratio of oranges in a fruit salad to people it will serve is 9/40, or 9:40. If Lisa wants to serve 800 people, how many oranges will Lisa use?
10) A display case of friendship rings is marked 5 for $1.00. If Zach wants to buy 50 friendship rings, how much will Zach spend (not including tax)?
Answers
Answer:
60:13
16:56
11:16
10:7
2:7
28/40
1:2
110:19
180
$10
Step-by-step explanation:
For 1-8, they are ratios. Ratios can be expressed in many two major ways. Fractions, and the answer i put. Ratio is like division. Therefore, you divide it by something.
Let’s bring question 8 for example,
It says: There are 110 students on a bus filled with 129 people. What is the ratio of students to teachers?
The given fact is that there is 110 students and 129 in total. It means that there is 19 adults, since 129-110 is equal to 19. Then, it’s looking for the ratio of students to teacher. The answer would be 110:19, 110/19, or 110 divided by 19
For question 9, it asks how much oranges Lisa will use if she serves 800 people.
It takes 9/40 oranges per servings. To solve this, we need to multiply 9/40 by 800, which is equal to 180(9/40*800=7200/40=180)
For question 10, we have to find how much it costs for a single ring.
if 5 rings cost $1, it means that it costs $0.2 per ring, since 1/5 is equal to 0.2. Then, we have to multiply it by 50. 0.2 time 50 is equal to 10.
I hoped this helped
I only know these ones tho...
1. 60:13 (You arrange it to the order the question asked in this case they asked for "the ratio of students to teachers" so I did that)
2. 16:56 (You are supposed to add them like this to get the ratio of students 40 + 16 = 56)
3. 11:16 (You arrange them in the order that the question asked for your example was "What is the ratio of calico kittens to non-calico kittens" so I arranged them like that)
4. 10:17 (You are supposed to add them like this to get the ratio of attendees 7 + 10 = 17)
5. 2:7 (What we do is that because they told us there are 2 brindle puppies and we know the number of puppies is 9 so we minus the 2 brindle puppies from 9. To find the amount of non-bridle puppies we do this 9 - 2 = 7)
6. 28:40 (You are supposed to add them like this to get the ratio of attendees to teenagers 28 + 12 = 40)
7. 11:33 (You are supposed to add them like this to get the ratio of total cakes 22 + 11 = 33)
8. 110:19 (What we do is that because they told us there are 110 students and we know the number of people is 129 so we minus the 110 students from 129 to find the ratio of students to teachers we do this 129 - 110 = 19)
9. I don't know.10. I don't know.
Related Questions
Pls help me in math, I need this tomorrow, thx :)
Answers
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
To learn more about S.D and variance,
https://brainly.com/question/15858152
https://brainly.com/question/12402189
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
y=2x+9 is NOT an equation of a proportional relationship. Why? (answer asap)
Answers
Answer:
Step-by-step explanation:
The table below shows the amount Allen earns for tutoring based on the number of hours he tutors.
Find the constant of proportionality (r). Using the value for r, enter an equation that will calculate the amount Allen earns (y) after tutoring x hours in the form of y=rx.
Answers
Answer:
15
Step-by-step explanation:
x=hours
y=earnings
y=rx
30=2r
30/2=r
r=15
Hope this helps!!!
Please find the 5 codes, thank you.
Answers
Answer:
13, 14, 13, 4.6, 48
Step-by-step explanation:
these are the x-values I have but I don't know hot to solve for th code.
Identify the variable and the constant in the expression below.
18 + t
variable: ___________________________
constant: ___________________________
Answers
Answer: I’m sure t is the variable and 18 is the constant.
Step-by-step explanation:
A constant is a number without a variable. In this case, 18 would be the constant. Now, as for t, I would say it is a variable. A variable is a symbol, a letter, for varying expressions and different quantities. So, in this case, t, or 1t, would be your variable. Hope this helped! :)
3.
(04.05 LC)
Which of the following inequalities matches the graph? (1 point)
graph of an inequality with a solid vertical line through the point 5, 0 and shading to the left of the line
x ≤ 5
x ≥ 5
y ≤ 5
y ≥ 5
Answers
Answer: The inequality that matches the graph is x ≤ 5. This is because the graph has a solid vertical line at x = 5 and the shading is to the left of the line. This indicates that all values of x that are less than or equal to 5 satisfy the inequality.
The inequality x ≥ 5 would not match the graph because the shading would be to the right of the line. The inequalities y ≤ 5 and y ≥ 5 do not match the graph because they are not in the correct form. Inequalities involving y have a graph with a horizontal line, not a vertical line.
Can someone help meh x= 1/2 and y= -5
Answers
15 x 3 - 21/3 divided by 24/4?
Answers
Answer:
43.8
Step-by-step explanation:
The graphs of functions f(x) and g(x) = f(x) + k are shown below
what is the value of k?
Answers
Answer:
k = 2
Step-by-step explanation:
f(x) and g(x) = f(x) + k
G(x) is the function f(x) moved up k units
G(x) is moved up 2 units so k is 2
Answer:
The answer is k = 2. The value of k is 2.
Step-by-step explanation:
I hope this answers your question :) Have a great day :)
The table represents some points on the graph of linear function f.
Which function represents f?
Answers
Answer:
f(x) = 26(x - 2)
Step-by-step explanation:
Find the area of the composite figure.
Answers
ohh
Ms. Martin ordered new pom poms for her cheerleaders. She paid $157.94, which included 6% sales tax. How much were the pom poms before tax?
Answers
Answer:
$149.00
Step-by-step explanation:
Selling Price = Final Price / 1 + Sales Tax
(reverse tax calculator)
"For Example:
If your total receipt amount was $57.98, and you paid 1.07 percent in sales tax, you’d simply plug those numbers into our calculator to find out that your original price before tax was $57.37. From there, it is a simple subtraction problem to figure out that you paid .61 cents in sales tax."
Put an Actual reasonable answer for the question please.
Answers
Answer:
D (Alicia did 5 more jumping jacks per minute than Melissa.)
Step-by-step explanation:
Alicia's rate is 30 jumping jacks per minute. You can use the formula m=(y2-y1)/(x2-x1) to find the slope/rate. The two points in the table you can use are (1,30) and (2,60). You can plug those coordinates into the slope formula. (60-30)/(2-1)=30/1= 30 jumping jacks per minute. To find the rate of change/slope for Melissa, you can use the same formula m=(y2-y1)/(x2-x1). The two points you could plug in are (0,0), and (4,100). (100-0)/(4-0)=100/4=25. Melissa does 25 jumping jacks per minute.
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
ANSWER AS MANY AS POSSIBLE! I WILL MARK BRAINLIEST!!! ANY RANDOM ANSWERS WILL BE DELETED BY MODERATORS!
Answers
Answer:
C is 6 2/3
That all im saying
Step-by-step explanation:
Oh
1.?
2.-102
3. 2 and 23/30
4. -235a+204/12
5. x=60
. please help me! and provide a CLEAR step by step explanation! tysm!
also giving out brain to good explanations and first answer correct
Answers
Answer:
182.25
Step-by-step explanation:
Each week Sara's science teacher gives a 15
-point quiz.
Her current scores are shown in the table.
What is Sara's mean quiz score?
Answers
Answer:31
Step-by-step explanation:
The coordinate plane below shows a right triangle with its hypotenuse on a line.
Which statement helps explain why the slopes for the hypotenuses of all right triangles with the hypotenuses on the line are the same?
Responses
All right triangles are congruent.
All right triangles with hypotenuses on the line are similar.
All right triangles are similar.
All right triangles with hypotenuses on the line are congruent.
Answers
Answer:
the answer a
Step-by-step explanation:because they just look alike
If there are 27 lollipops and 54 candy bars for a gift bag, fill out all of the possible ratios of lollipops to candy bars that could be made.
Answers
Answer:
1:2
Step-by-step explanation: 54 divided by 27 is 2 so 1 lollipop is 2 candy bars!
Part I: Making the Race
Henri is Emile's younger brother and they are having a walking race. Emile can walk 2.5 meters per second whereas Henri walks 1 meter per second. Because Emile is faster, they give Henri a 45 meter head start. Emile knows Henri would enjoy winning the race, but they do not want to make the race so short that it is obvious Emile let Henri win.
1. How long should the race be so that Henri will win in a close race?
2. Describe or show your strategy on how you came up with your answer for #1.
Answers
74 meters
Step-by-step explanation:
The difference in Emile and Henry's speed is 1.5, and the lead for Henry is 45 meters, so 45÷1.5= 30 seconds which means Henry will go another 30 meters at 1 meter per second.
2. To make it a close race we want Henry to go a longer distance than Emile, so make it 74 meters, which means Emile will go only have 45+29 = 74 seconds to get to 74 meters, but Henry only have 29 seconds in total = 29*2.5 = 72.5 meters.
I'm not sure how to answer this question.
Answers
Answer:
Now you can divide 4/9 by many fractions:
2/9 x 2/1 = 4/9
1 x 4/9 = 4/9
Step-by-step explanation:
Product is the answer.Multiplicand is the first number.Multiplier is the second number.I NEED HELP CUZ IM Dum
Answers
Answer:
2 1/2
Step-by-step explanation:
Area - 1/2(b)(h)
5/6 = (1/2)(2/3)(b)
5/6=2/6(b)
b=5/2
b=2 1/2
Answer:
srry im also dum
Step-by-step explanation:
The seventh grade math classes are going on a field trip. The field trip will cost $7 per student. Write an expression to find the cost of the field trip for s student What is the total cost if 26 students go on the trip?
Answers
Answer:
7$x(the number of students)=(cost)
7$x26=182$
Step-by-step explanation:
if there are 26 kids going and each cost 7$ all you need to do is times the amount if students by the cost of each student
$7(26)=total cost
$7(26)=$182
how to interpret the meaning of a slope
Answers
Step by step
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answers
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
PLEASE ANSWER AS FAST AS YOU CAN BUT PLEASE GET THE RIGHT ANSWER!!!
Answers
Answer: (-3,-8)
Step-by-step explanation: opposite of (3,-8)
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. Select all the true statements. (THERE ARE 3 CORRECT ANSWERS!)
WILL GIVE BRIANLEST
A) The difference in height between the pelican and the heron is -33 feet
B) The difference in height between the pelican and the heron is 33 feet.
C) The distance between the heights of the pelican and heron is -33 feet.
D) The difference in height between the pelican and the trout is -40 feet.
E) The difference in height between the pelican and the trout is 40 feet.
F) The distance between the heights of the pelican and the trout is 40 feet.
Answers
Answer:
[A] The difference in height between the pelican and the heron is -33 feet.
[E] The difference in height between the pelican and the trout is 40 feet.
[F] The distance between the heights of the pelican and the trout is 40 feet.
Step-by-step explanation:
Note: 0 the sea level.
Since the heron is perched in a tree 50 feet above sea level and directly below the heron the pelican is flying 17 feet above sea level, you can find the difference in height between the pelican and the heron by subtracting 50 feet from 17 feet.
Then, you get that this is: 17-50= -33 feet
Now, according to the information given in the exercise, you know that the trough is swimming directly below them and its height is 23 feet below sea level. If you represent this with an integer, this is: -23
Therefore you can find the difference in height between the pelican and the trout through the following subtraction:
17-(-23)=17+23=40 feet.
Hence, distance = 40 feet.
[RevyBreeze]
A basketball player made 52 out of 100 attempted free throws. What percent of free throws was made?
The player made _____% of the free throws attempted.
Answers
Answer:
52%
Step-by-step explanation:
52 out of 100 is the same as .52, when you put that as a percentage, you get 52%
I need some one who is rlly good at math ;-;
Answers
5(2/5) / (5/8)
(10/5) / (5/8)
2 / (5/8)
When dividing fractions, we use keep change flip. Keep 2, change to multiplication, and flip 5/8. This then becomes:
2 * (8/5)
Multiply 8 by 2
16/5
3 1/5 mixed number
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation: