Answer:
12 people
Step-by-step explanation:
This is a problem that involves common ratios. 7 people bought jerseys for every 2 people who bought programs. We need to figure out how many people bought programs if 42 people bought jerseys. If we let the number of people who bought programs be x, we can set up an equation like this:
[tex]\frac{2}{7}=\frac{x}{42}[/tex]
If we cross multiply, we get the following:
[tex]7x=84[/tex]
We can solve for x by dividing by 7, and getting that x = 12. This means that 12 people bought programs.
PLEASE HELP URGENT 10 POINTS
Can someone help me these 2 questions? PLS and ty!
I’ll give Brainliest if you explain how you solved this
25 points?
Answer:
y=60° b=60°
Step-by-step explanation:
the sum of all degrees of interior triangle is 180
in the first one, 30° and 90° have been given.(that small square represent 90°)
so 180°-90°-30°=60°
in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°
Let's take this problem step-by-step:
Both problems involve triangles:
⇒ let's find out the sum of the interior angle w/ formula 180(n-2)
Total Interior Angle Sum of Triangle = 180(3-2) = 180
Let's solve the first problem (A)
⇒ we know the total interior angle sum is 180 degrees
⇒ we know that two of the angles are 30 degrees and 90 degrees
* any angle with a square on them is 90 degrees
⇒ therefore:
30 + 90 + y = 180
120 + y= 180
y = 60
Let's solve the second problem:
⇒ the angle opposite the exterior angle, 120 degrees, is on a flat line
with it
⇒ therefore it is 60 degrees
⇒ two angles on a flat line equal 180 degrees
⇒ two angles are therefore 60 degrees
⇒ therefore:
60 + 60 + y = 180
120 + y = 180
y = 60
Answer:
(A) y= 60(B) y =607.23. A freight train travels 1 mile in 1 minute 30 seconds. At this rate, how many miles will the train travel in 1 hour?
Answer:
40 miles in 60 minutes
Step-by-step explanation:
1 hour has 60 minutes, and since the freight train travels 1 mile in 1.5 minutes, it can be said that the train travels 2 miles in 3 minutes (assuming a constant rate). This becomes a problem of equal ratios:
[tex]\frac{2}{3}=\frac{x}{60}[/tex] , where the numerator refers to distance, and the denominator refers to the time
After cross multiplication, we find that 3x = 120, or x = 40.
Therefore, it takes 1 hour for the train to travel 40 miles
Answer:
The number of miles will the train travel in 1 hour is 40 miles.
Step-by-step explanation:
Given:
A freight train travels 1 mile in 1 minute 30 seconds.
Find:
The number of miles that the train will travel in 1 hour
Step 1 of 1
One minute 30 seconds is [tex]$\frac{3}{2}$[/tex] minutes, so the train's speed is
[tex]$$\begin{aligned}\text { spced } &=\frac{1 \text { miles }}{\frac{3}{2} \text { minutes }} \\&=\frac{2}{3} \frac{\text { miles }}{\text { minute }}\end{aligned}$$[/tex]
There are 60 minutes in an hour, so the distance traveled in 60 minutes is distance [tex]=(60$ minutes $) \cdot\left(\frac{2}{3} \frac{\text { miles }}{\text { minute }}\right)$[/tex]
=40 miles.
PLS ANSWER THIS QUESTION- this is 8th grade math
Find the amount of discount using the following numbers.
Original price: $60; Rate of discount: 20%
PLEASE HELP ME
I GOT STUCK
THANK YOU!!
Answer:
Discount = 20%
Original price = $60
Discounted price = $48
Step-by-step explanation:
To find the amount of the discount, we take the original price and multiply it by the rate of the discount. In this case, we would take $60 and multiply it by 0.20 to get $12. This is the amount of the discount.
Which of the following expressions are equivalent to -1/2 x (4x5)
Choose all that apply.
A. -4 x (1/2 x 5)
B. 1/2 x (-4 x 5)
C. None of the above
please help!!!
Answer:
I might be wrong but I think the answer is that A and B are equivalent to -1/2 x (4x5)
Step-by-step explanation:
math
2. WHAT IF? A random sample of 8 speeding tickets issued in State C has a median of $120. Can you conclude that a speeding ticket in State C costs more than in States A and B? Explain.
no you cannot conclude that state c costs more than a and b because you do not know the value of state a and b
Answer:
no
Step-by-step explanation:
7.24. If you walk for 45 minutes at a rate of 4 \mathrm{mph}$ and then run for 30 minutes at a rate of 10 mph, then how many miles have you gone at the end of one hour and 15 minutes? What was your average speed for the journey?
Answer:
The average speed for the journey is 6.4 mph.
Step-by-step explanation:
Given:
If you walk for 45 minutes at a rate of [tex]$4 \mathrm{mph}$[/tex] and then run for 30 minutes at a rate of [tex]$10 \mathrm{mph}$[/tex], then how many miles have you gone at the end of one hour and 15 minutes Find the average speed for the journey
Step 1 of 1
We can compute the walking distance and running distances separately, then add them.
You walk for 45 minutes, which is [tex]\frac{3}{4}$[/tex] hours, at a rate of [tex]$4 \mathrm{mph}$[/tex], so the walking distance is [tex](4 \mathrm{mph})\left(\frac{3}{4}\right.$ hours $)=3$[/tex] miles. You run for 30 minutes, which is [tex]\frac{1}{2}$ hour, at a rate of $10 \mathrm{mph}$[/tex], so the running distance is [tex]$(10 \mathrm{mph})\left(\frac{1}{2} h o u r\right)=5$[/tex] miles.
So the total distance you cover is 3+5=8 miles.
Now we can also compute the average speed for the journey.
You covered 8 miles in [tex]$\frac{5}{4}$[/tex] hours, so your average speed was
[tex]$$\begin{aligned}&\frac{8 \text { miles }}{\frac{5}{4} \text { hours }}=\frac{8}{\frac{5}{4}} \mathrm{mph} \\&\frac{32}{5} \mathrm{mph}=6.4 \mathrm{mph}\end{aligned}$$[/tex]
THIS QUESTION IS GOING TO SAVE MY LIFE:
Write each ratio as a fraction in lowest terms:
Q1 - 24.8 to 13.4
Q2 - 1.5 to 4.5
Answer:
Step-by-step explanation:
(1) The ratio 24.8 to 13.4 can be rewritten as 24 8/10 or 248/10 to 13 4/10, or, after simplification, 248/10 to 134/10. This version of the given ratio reduces to 248/134, or 124/67. This last version cannot be reduced further.
(2) The ratio 1.5 to 4.5 is equivalent to 3(.5) / 3(1.5), or 1/3.
which ratio is greater than 5/8
Answer:
4/5 is greater thwn 5/8
Step-by-step explanation:
because ot just is
Answer:
Possible answers are 5/6, 3/4, etc.
Step-by-step explanation:
Many different ratios are greater than 5/8. If I wrote them all it would take FOREVER...
5/8 is greater than 1/2, therefore, ratios: 3/6, 2/4, etc. would not work.
I think you wrote the question wrong and forgot to type the options.
Sorry.
The difference of two odd numbers is a multiple of ______ 11. | -56 | = ____
Answer:
1. The difference of two odd numbers is a multiple of 2
2. | -56 | = 56
Step-by-step explanation:
1. Since the difference between two odd numbers is always even, this means the difference of two odd numbers is a multiple by 2. This is because all even numbers are divisible by 2.
2. The absolute value of | -56 | would be 56
Compare the expressions using >, < or =
-5 + (-3) and -5- (-3)
Answer:
-5 + (-3) < -5 - (-3)
Step-by-step explanation:
so -5 + (-3) evaluates to -5 - 3 which then evaluates to -8, because you're "going back" on the number line by 3.
-5 - (-3) evaluates to -5 + 3 since the negatives cancel out. this further evaluates to -2. this is greater than the previous value so we use the < (if you put this equation on the right side, since you can technically use > if you put the equation on the left side, just depends on what side you put it on)
-5 + (-3) < -5 - (-3)
please answer correctly.
Answer:
The answer is the second option down.
how many two-digit positive numbers are divisible by 3 or 5?
Answer:
it is one ez l ez ez ez ez bozo
What is the volume of a rectangular prism with side lengths 15.8 m, 24.5 m, and 4.2 m? Round to the nearest cubic meter.
Answer: 1,626 cubic meters
Step-by-step explanation:
V= lwh
V= length x with x height
Each number isn't specified (i dont know which numbers represent the width, length, and height since it isn't said) but that doesn't matter because according to the commutative property , you can multiply in any order and still get the same result.
So V= 15.8 x 24.5 x 4.2
V= 1,625.82
Rounded to the nearest cubic meter: 1,626 because 1625.82 becomes 1625.8, which, to the nearest whole number, is 1,626.
2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. b. 5 is what percent of 20?
Answer: 25%
Step-by-step explanation:
We know that 20 divided by 5 is 4, so 5 is one-fourth of 20 or 25%.
Josh is 72 inches tall. Ruben is 9/10 as tall as josh. John is 11/12 tall as ruben. a. what is rubens height in inches b. what fractional of of joshs height is johns?
Answer:
A. Ruben's height- 64.8 inches
B. John's height- 3/4 of Josh's height
Step-by-step explanation:
A. Since Ruben's height is 9/10ths of Josh's, and Josh's is 72 inches, we can find 90% of Josh's height which is 72, therefore giving us 64.8 inches.
B. Now take John's height of being 11/12th as being tall as Ruben, we can enter 11/12th of 64.8 which would give us about 54 inches. Finally, taking John's height of 54 inches, we would divide it with Josh's height of 72 inches. Hence, 54/72=3/4 as a fraction.
Please Help!
What is 3,198.7 as a fraction
Answer:
31987/10 or 3198 7/10
Step-by-step explanation:
Hi!! Here's how to solve your problem!!
Step 1: Convert decimal to fraction.
3198.7 = 31987 over 10 (31987/10)
(You add a 1 under the decimal point and there is a 7 next to the decimal point so you add one 0 since there aren't any numbers after 7.)
Step 2: Change the fraction (if you want)
31987/10 = 3198 and 7 over 10
31987 ÷ 10 = 3198 remainder 7 so it will be 3198 7/10.
I hope this helps!!!
20. Sofia paid $11.80 for a pen, a marker, and a binder. The marker cost $0.80 more than the pen. The binder cost 4 times as much as the marker. What was the cost of the pen?
Answer:
$1.30
Step-by-step explanation:
Let x = the cost of the pencil
Let x + .80 = the cost of the pen
Let 4(x + .80) = the cost of the binder
x + x + .80 + 4(x + .80) = 11.80
2x + .80 + 4x + 3.20 = 11.80
6x + 4.00 = 11.80
6x = 7.80
x = $1.30
x + .80 = $2.10
4(x + .80) = $8.40
The lengths of the sides of triangle ABC are consecutive whole numbers. The median from angle A is perpendicular to the angle bisector of ∠B. Find the lengths of the sides of the triangle.
PLEASE HELP!!!
Due in 10 minutes!
Answer:
41ft²
Step-by-step explanation :
8ft - 2ft = 6ft
6ft - 2ft = 4ft
4ft - 1ft = 3ft
3ft * (8ft + 2ft) / 2 = 15ft²
1ft * (8ft + 2ft) = 10ft²
8ft * 2ft = 16ft²
Total : 16 + 15 + 10 = 41ft²
7.63. Kim was elected class president. She received 3 votes for every 2 that Amy got. No one else ran. However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only 1 vote for every 2 that Amy would have gotten. How many people voted?
Hint: Assign a variable so you can write expressions and set up equations. What's often a useful way to assign a variable in a ratio problem?
Answer:
The number of people who voted is 30 people.
Step-by-step explanation:
Given:
Kim was elected class president. She received 3 votes for every 2 that Amy got.
No one else ran.
However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only 1 vote for every 2 that Amy would have gotten
Find:
the number of people voted
Step 1 of 1
The ratio of Kim's votes to Amy's votes is 3:2, so Kim received 3x votes and Amy received 2x votes for some value of x. If 8 of the people had voted for Amy instead of Kim, then Kim would have 3x-8 votes and Amy would have 2x+8 votes. If this had happened, then Amy would have twice as many votes as Kim, so 2x+8=2(3 x-8).
Expanding the right-hand side gives 2x+8=6x-16.
Subtracting $2 x$ from both sides and adding 16 to both sides gives 24=4x, so x=6.
Since 3x+2x=5x people voted, the number of voters is [tex]$5 \cdot 6=30$[/tex].
Answer:
30 people
Step-by-step explanation:
The ratio of Kim's votes to Amy's votes is 3:2, so Kim received 3x votes and Amy received 2x votes for some value of x. If 8 of the people had voted for Amy instead of Kim, then Kim would have 3x-8 votes and Amy would have 2x+8 votes. If this had happened, then Amy would have twice as many votes as Kim, so 2x+8=2(3 x-8).
Expanding the right-hand side gives 2x+8=6x-16.
Subtracting $2 x$ from both sides and adding 16 to both sides gives 24=4x, so x=6.
Since 3x+2x=5x people voted, the number of voters is .
Find the degree of 3m^2·n^4
Hello!
The degree of the term will be the highest power to which a variable in the term is raised.
Hence, the degree of 3m²n⁴ is [tex]\fbox {4}[/tex]
16. During a choir rehearsal, 25 students were standing in a line at equal distances. The distance between the first and the fourth student was 2.7 m. What was the distance between the first and the last student?
Answer:
Step-by-step explanation:
25 - 4 = 21
2.7*21=56.7m
PLEASE ANSWER ASAP: Last year, Springfield Middle School had 526 students. This year, it has 496 students. To the NEAREST TENTH, what is the percent of decrease.
Answer:
5.7 is the answer good sir your welcome
Answer:
The percentage decrease is
[tex]5.7\%[/tex]
Step-by-step explanation:
The solution is in the image
There are 3 times as many females as males on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.
Answer:
1/4
Step-by-step explanation:
3*1 "female" parts and 1 "male" part
3+1=4
Males : 1/4
Answer:
1/4
Step-by-step explanation:
(x + 3x = 4x)
x = male
3x = female
Therefore add both and get 4x.
So male is 1 out of 4 or 1/4
I REALLY NEED HELP: A cook is planning a banquet dinner a recipe that serves 8 people calls for 2 cups of milk. How many cups of milk will be needed for 36 servings?
The cook will need 9 cups of milk for the banquet dinner.
How many cups of milk will be needed for 36 servings?Since the recipe calls for 2 cups of milk per 8 servings. We can say:
cups of milk / servings = 2 / 8 = 1/4
We can solve for the cups of milk by multiplying both sides of the proportion by 36.
cups of milk for 36 servings = (cups of milk / servings) * 36
= (1 / 4) * 36
= 9
Therefore, 9 cups of milk will be needed for the banquet dinner.
Learn more about proportion on:
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Type the correct answer in each box.
Jenny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x + 2x + 5 = 62, where x is Jenny’s age.
Plug in the values from the set {12, 15, 18, 19} to find the value of x. The value that holds true for the equation is _____ . So, Jenny is _____ years old and her mother is ____ years old.
Hello !
12 :[tex]12 + 2 \times 12 + 5 = 41 \ne62[/tex]
15 :[tex]15 + 2 \times 15 + 5 = 50 \ne62[/tex]
18 :[tex]18 + 2 \times 18 \ + 5 = 59 \ne62[/tex]
19 :[tex]19 + 2 \times19 + 5 = 62[/tex]
The value that holds true for the equation is 19. So, Jenny is 19 years old and her mother is 43 years old.
Have a nice day ;)
IM CONFUSED: A used car dealer has the following information for 2 months of sales:
Month 1: 239 cars sold
Month 2: 324 cars sold
Do we have an increase or a decrease in sales and what percentage?
Answer:
Rounds to about 135% increase.
Step-by-step explanation:
Increase/original number x 100
324 / 239 × 100. This rounds to about a 135% increase.
I'm not sure about the answer, just saying. So you might want to double-check the formula for percent change. Thank You.
To determine if there's an increase or a decrease in sales and the percentage change, we need to compare the number of cars sold in Month 2 with the number sold in Month 1.
Calculate the difference in sales:
Difference = Month 2 sales - Month 1 sales
Difference = 324 cars - 239 cars
Difference = 85 cars
To find the percentage change, use the following formula:
Percentage Change = (Difference / Initial Value) * 100
In this case, the initial value is the number of cars sold in Month 1 (239 cars).
Percentage Change = (85 cars / 239 cars) * 100
Percentage Change ≈ 35.56%
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18. The mass of a box with 20 similar bottles of cooking oil is 18.6 kg. The mass of the empty box is 1.4 kg. What is the mass of each bottle of oil in kilograms?
Step-by-step explanation:
Total mass = 18.6kgMass of empty box = 1.4kgno. of bottles = 20subtract the mass of the empty box from the total mass to get the mass of only the bottles: 18.6 - 1.4 = 17.2kgMass of the 20 bottles = 17.2kg To get the mass of each bottle, we divide the mass of the bottles by the number of bottles.therefore: 17.2 ÷ 20 = 0.86 kgTherefore the mass of each bottle = 0.86kg.Hope this helps.
Good luck ✅.