Answer:
The number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time is 30 times.
Step-by-step explanation:
Given:
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.
For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap.
Find:
the number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time
Step 1 of 1
The kangaroo gains 5 feet on every leap.
The kangaroo must gain 150 feet total,
so it must jump [tex]\frac{150}{5}=30$[/tex] times to catch the rabbit.
Kangaroo needs 30 leaps to make to catch up to the rabbit if the two animals always leap at the same time.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.
For every 12 -foot leap of the kangaroo,
the rabbit makes a 7 -foot leap.
Let n be the number of leaps.
According to the question:
We have the equation.
To solve for x;
12x = 7x + 150
12x - 7x = 150
5x = 150
x = 150/5
x = 30
Therefore, the Kangaroo needs 30 leaps to catch the rabbit.
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help 20 points added
Answer:
Step-by-step explanation:
9/15 = 3/5
answer in the picture
Genesis and Skylar are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Genesis is 266 miles away from the stadium and Skylar is 332 miles away from the stadium. Genesis is driving along the highway at a speed of 42 miles per hour and Skylar is driving at speed of 53 miles per hour. Let GG represent Genesis' distance, in miles, away from the stadium t hours after noon. Let SS represent Skylar's distance, in miles, away from the stadium t hours after noon. Write an equation for each situation, in terms of t, and determine the number hours after noon, t,t, when Genesis and Skylar are the same distance from the stadium
G=266-42t and S=332-53t are equations to determine the number hours after noon t, when Genesis and Skylar are the same distance from the stadium
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Genesis is 266 miles away from the stadium.
Genesis is driving along the highway at a speed of 42 miles per hour.
Skylar is 332 miles away from the stadium.
Skylar is driving at speed of 53 miles per hour
Let G represent Genesis' distance, in miles, away from the stadium t hours after noon.
Let S represent Skylar's distance, in miles, away from the stadium t hours after noon.
We need to find an equation for each situation, in terms of t, and determine the number hours after noon t when Genesis and Skylar are the same distance from the stadium.
G=266-42t
S=332-53t
266-42t=332-53t
53t-42t=332-266
11t=66
Divide both sides by 11
t=6 hours
Hence, G=266-42t and S=332-53t are equations to determine the number hours after noon t, when Genesis and Skylar are the same distance from the stadium
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I need help pls it to hard
Answer:
12 1/2 hours
Step-by-step explanation:
0+(1/4)+(1/2)+(3(3/4))+3+(4(5/4))+(3/2)=12.5
Never say anything is too hard because one day this will be second nature solving these fractions
Answer: 12.5 hours watching TV
Step-by-step explanation:
Step 1: We know this is an "in all" question, so we first need to find the fractions to add up.
Each dot on the graph represents 1 of each fraction. For example, the dot above the "1/4" means that 1/4 hours were spent watching TV, and the 3 dots above the 1 means that he watched TV for 1 hour in a row 3 times, so the total number of hours for 1 would be 3x1, or 1+1+1.
So we have:
1/4
1/2
3/4
3/4
3/4
1
1
1
1 1/4
1 1/4
1 1/4
1 1/4
1 1/2
(again, each dot represents 1 of each)
Step : Convert these to decimals so it's easier to add
1/4--> 0.25
1/2--> 0.5
3/4--> 0.75
3/4--> 0.75
3/4--> 0.75
1--> 1
1--> 1
1--> 1
1 1/4--> 1.25
1 1/4--> 1.25
1 1/4--> 1.25
1 1/4--> 1.25
1 1/2--> 1.5
0.25+0.5+0.75+0.75+0.75+1+1+1+1.25+1.25+1.25+1.25+1.5= 12.5 hours in all
Answer= 12.5 hours
2 ACTIVITY: Estimating a Whole
Work with a partner. Use a model to estimate the answer to each question.
d. 75 is 75% of what number?
Answer:
75 is 75% of 100
Step-by-step explanation:
Simple explanation: Basically 75% is equal to 3/4 so if we find out how much 1/4 of the whole number is we can multiply it by 4 to get the whole number. Since 75 is 3/4 of the whole number we divide it by 3 which gives us 25 so 25 is 1/4 of the whole number. Afterwards we multiply it by 4 to get the whole number since 4/4 is 1 which is a whole.
I need help with some tutorverse questions, thanks!
Answer:
11. c
12. c
Step-by-step explanation:
11. Since Angle RST = 60 degrees, Angle RTS = 60 degrees.
Triangle STU is a right triangle, so Angle STU and Angle SUT are both 45 degrees.
Angle RTS + Angle STU + Angle UTQ = 180 degrees
60 + 45 + Angle UTQ = 180
Angle UTQ = 180 - 105
= 75 degrees
12. Using the corresponding angles theorem, x = 45 degrees and y = 35 degrees.
x + y
45 + 35
80
please help me figure this out
-13 Faren equals -25 Cel! Give the guy above me brainliest, his was more wrote out but this is just a simple answer lol, good job btw guy above me! and goodluck OP. <3 !
ANYONE?: Cassie is reading a book with 1,460 pages. She is on page 882. About what percent of the book does she have left to read?
Answer:
around 40%
Step-by-step explanation:
This is a proportion question.
882 x
____ = ____
1,460 100
First, do 882 x 100 and get 88,200.
Then divide 88,200 by 1,460 to get around 60%.
Then 100-60= 40%.
Might be wrong but I'm pretty sure this is the answering method.
Answer:
This is easy, let me answer it.
ANSWER IS .. 39.589
Step-by-step explanation:
PAGES IN THE BOOK ..... 1460
PAGES CASSIE HAS READ.. 882
Remains PAGES .... 578
Therefore,
PAGES read percentage = 60.411
CASSIE HAS LEFT 39.589 percent book to read
THANKS MARKMAS BRAINLEST
5. A North American hockey rink contains 5 face-off circles. Each of these circles has a radius of 15 feet. What is the total area, in square feet, of all the face-off circles? (Use 3.14 for π) F. 706.5 ft²
G. 2826 ft²
H. 3532 ft²
I. 14,130 ft²
Answer:
none
Step-by-step explanation: none
-24b+4b
Compute and Simplify.
1 ACTIVITY: Estimating a Part
Work with a partner. Use a model to estimate the answer to each question.
e. What number is 65% of 30?
Answer:
19.5
Step-by-step explanation:
A little help with the whole page please
Answer:
1. 180 degrees
2. 4
3. 8π
4. 8:1
5. 12.5 feet
6. 3 revolutions
7. π/2
8. 64π
Step-by-step explanation:
1. For the first question, we are given that there are 120 degrees in 1/3 of a circle. This makes sense because a complete circle makes up 360 degrees (3*(1/3)). Two figure out how many more degrees there are in 5/6 circle, we first need to figure out how many degrees are in 1/6 of a circle and then 5/6 of a circle. If there are 120 degrees in 1/3 of a circle, there are 120/2 or 60 degrees in 1/6 of a circle (1/6 is half of 1/3). If we multiply this by 5 (because 1/5 * 5 = 5/6), we get that 5/6 of a circle is 60*5 or 300 degrees. That being said, the question is asking us how many more degrees there are in 5/6 circle than 1/3. We know that there are 120 degrees in 1/3 of a circle, so we can do 300 - 120 to figure out the answer, which comes out to be 180 degrees.
2. For the second question, we are given that the area of the circle is 4π. We know that the formula for the area of a circle is [tex]\pi r^{2}[/tex], which means the radius squared of the circle given is 4 (divide by π). If we take the square root of 4, we get the radius of our circle to be 2. Now, all we have to do is figure out the diameter. The radius is the distance between a point on the circle and the center. The diameter is just double this distance because it is the distance between one point on a circle and another point on the exact opposite side (the diameter line segment goes through the center). Since the radius is 2, the diameter has to be 4.
3. For the third question, we are given that the radius of a circle is 4 and we need to figure out the circumference (q). We know that the formula for the circumference of a circle is πd, or 2πr (r is the radius). We can plug the known radius into the equation and solve for the circumference. If we plug in r = 4, we get that the circumference (q) is 2(4)(π), or 8π.
4. For the fourth question, we are given that the radius of circle Q is 4 times the size of the diameter of circle R. We know that the diameter of any circle is just double the size of the radius. This means that, if the radius of circle Q is four times the diameter of circle R, the diameter of circle Q is 4(2) or 8 times the size of the diameter of circle R. This can be represented in ratio form as 8:1 (as in, if the diameter of circle R was 1, the diameter of circle Q would be 8, which is 8 times the size).
5. For the fifth question, the distance traveled in one revolution of a circle is the same as the circumference of the circle. You can imagine a circle and a point on it that is touching the ground. The circumference of this circle (the length of the circle) is the same as the distance traveled between the time the point touches the ground to the time it touches the ground again. Please feel free to let me know if this doesn't make sense. I will try to draw it out. Anyway, we are given the diameter of this wheel (4 feet), and we know that the circumference of a circle is π*d, so the circumference, in this case, would be 4π, which is approximately 12.5 feet.
6. For the sixth question, we just need to figure out the circumferences of the two wheels and compare them. If we go back to the fifth question, we know that the distance traveled by a wheel in one rotation is the same as its circumference. Let's say that the radius of the rear wheel is x. This means that the radius of the front wheel is 3x. The circumference of a circle is 2πr, which means the circumference of the front wheel is 6πx and the circumference of the rear wheel is 2πx. The circumference of the front wheel is 3 times the size of the rear wheel's circumference, which means that it will take 3 revolutions of the rear wheel to complete 1 revolution of the front wheel
7. For the seventh question, if AD is a half circle, that means the side of the square that connects A and D is the diameter of the circle. We know that this diameter is 2 because the length of each side of the square is 2. If the diameter is 2, that means the radius of the half-circle is half of that, or 1. The area of a circle is πr^2, so this circle has a radius of π (r^2 is 1). A half-circle has half of the area of a full circle, so the area of this half-circle would be π/2.
8. For question 8, we know that the circumference of circle A is 8π, and the circumference of any circle is 2πr. This means the radius of circle A is half of 8, or 4. We are given that the radius of circle B is twice the radius of circle A, which means the radius of circle B is 8. The area of a circle is πr^2, and r^2 for circle B is 8^2 or 64. Therefore, the area of circle B is 64π.
HELPPPPP!!!!!!! I need to know how to do this step by step, I don’t know how to solve these equation problems. I don’t understand how you add or subtract, etc. from both sides. This is so difficult I’d rather learn a new language.
20. The total mass of three boxes, A, B, and C, is 1.95 kg. The mass of Box A is 700 g. The mass of Box B is 4 times the mass of Box C. What is the mass of Box B in kilograms?
Answer:
Mass of B in Kg = -558.44kgStep-by-step explanation:
LET'S DO THIS!
Total mass of A, B and C = 1.95kg
Mass of A = 700 kg
Mass of B = 4x the mass of c (4 x C) which is 4c
Mass of C = ? ( let's call it C )
Adding all together700 + 4c + C = 1.95
Add like terms700 + 5C = 1.95
5C = 1.95 - 700
5C = -698.05
C = -698.05 ÷ 5
C = -139.61To find B now Remember they said B is 4 times the mass of C and C = -139.61therefore B = 4 × -139.61
B = -558.44 kg To check if we are correct, we add the masses of A, B and C to see if it equals their total mass which is 1.95kgUsing your calculator:= 700 + ( -558.44 ) + ( -139.61 )
= 700 - 558.44 -139.61
= 1.95 kg
Which makes us CORRECT ✅.
Hope this helps.Good luck ✅.7.66. Buses from Dallas to Houston leave every hour on the hour. Buses from Houston to Dallas leave every hour on the half hour. The trip from one city to the other takes 5 hours. Assuming the buses travel on the same highway, how many Dallas-bound buses does a Houston-bound bus pass on the highway (not in the station)?
Answer:
Assuming the buses travel on the same highway, the number of Dallas-bound buses does a Houston-bound bus pass on the highway is 10 buses.
Step-by-step explanation:
Given:
Buses from Dallas to Houston leave every hour on the hour. Buses from Houston to Dallas leave every hour on the half-hour.
The trip from one city to the other takes 5 hours.
Find:
Assuming the buses travel on the same highway, the number of Dallas-bound buses does a Houston-bound bus pass on the highway (not in the station)
Step 1 of 1
We count the number of Dallas-bound buses that a single Houston-bound bus passes.
There are two groups of Dallas-bound buses that we have to consider.
First, there are the buses that were on the way to Dallas at the time the Houston-bound bus leaves Dallas.
Second, there are the buses that leave Houston after the Houston-bound bus starts but before it arrives at Houston.
In order for a bus to be on the way to Dallas when the Houston-bound bus leaves, it must have left Houston less than 5 hours before the Houston-bound bus leaves.
There is one such bus each hour, for a total of 5 buses.
In order for a Dallas-bound bus to leave Houston after the Houston-bound bus leaves but before the Houston-bound bus arrives, the Dallas-bound must leave Houston within 5 hours after the Houston-bound bus leaves.
Again, there is one such bus each hour, for a total of 5 more buses than the Houston-bound bus passes.
Therefore, the Houston-bound bus passes 5+5=10 Dallas-bound buses.
18. Doreen picked 2.33 kg of grapes. She gave 800 g of the grapes to her brother and then shared the remaining grapes equally with her two sisters. How many grams of grapes did each sister receive?
---------------------------------------︵‿︵‿୨♡୧‿︵‿︵--------------------------------------
Answer:
765 grams
Step-by-step explanation:
Exchange:
2.33 kg = 2330 gr
Grams of grapes that are left after giving 800 grams to her brother:
2330 - 800 = 1530 gr
Grams of grapes each sister will get if Doreen shares the remaining equally:
1530 : 2 = 765 gr
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Rose bought 5 pencils for $0.69 each, 3 notebooks for $ 2.75 each, and a pocket dictionary for
$5.49. How much change will she receive from $20?
Answer: $2.81
Step-by-step explanation:
Pencils: 5 * 0.69 = 3.45
Notebooks: 3 * 2.75 = 8.25
pocket dictionary: 5.49
3.45 + 8.25 + 5.49 = 17.19
20 - 17.19 = 2.81
Therefore, she will get $2.81 change back.
Answer: $2.81
Step-by-step explanation:
FACTS:
Rose bought:
5 pencils for $0.69 each
3 notebooks for $2.75 each
1 dictionary for $5.49
Change recieved if she pays with $20=?
Step 1: Find amount of money spent on pencils
5x0.69= $3.45
Step 2: Find amount of money spent on notebooks
3x2.75= $8.25
Step 3: Find total amount spent
3.45+8.25+5.49= $17.19
Step 4: Find how much change received
So now we want to answer: Her total cost was $17.19, but she paid $20. Change received= ?
20-17.19= $2.81
Therefore, she received $2.81 in change.
7.5.5. I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work. I then realized that I would be late if I kept walking. I ran the rest of the way. I run twice as fast as I walk. How many minutes total did it take me to get from home to work?
Answer:
Given:
I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work.
I then realized that I would be late if I kept walking.
I ran the rest of the way. I run twice as fast as I walk.
Find:
The number of minutes in total did it take me to get from home to work
Step-by-step explanation:
Had I kept walking, the second half of my trip would have taken 10 more minutes.
By doubling my speed for the second half of my trip,
I halved the amount of time it took me to finish.
So, the second half of my trip took 5 minutes, for a total trip time of 10+5 = 15 minutes.
The number of minutes in total did it take me to get from home to work is 15 minutes.
THIS IS VERY IMPORTANT, WORTH 50 POINTS: The Game Stop is having a sale and all games are reduced by 55%. If a game is now $29.99, what was the original price? ROUND YOUR ANSWER TO THE NEAREST CENT.
The original price was $66.64
Explanation:
The price is reduced by 55% so all the games are sold for 45%.
Let the cost of game be x,
45% × x = $29.99
0.45 × x = $29.99
x = $29.99/0.45
x = $66.644...
x = $66.64 (rounded to nearest cent)
7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed. By how many meters will Robert beat Sam?
Hint: By how many meters would Robert beat Sam if the race were 50 meters? 100 meters? 150 meters?
Answer:
The number of meters Robert will beat Sam is 12 meters.
Step-by-step explanation:
Given:
When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.
Find:
the number of meters by which Robert will beat Sam
Step 1 of 1
When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.
Therefore, when Robert and Sam run for the same amount of time, Sam covers [tex]$\frac{40}{50}=\frac{4}{5}$[/tex] of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs [tex]$\frac{4}{5} \cdot 10=8$[/tex] meters.
This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.
20. 35 g of flour is used for making a muffin. Anajulie needs to prepare 700 muffins. She has 10.8 kg of flour. How much more flour does she need? Give the answer in kilograms.
Step-by-step explanation:
since for one muffins we need 20.35 g of flour
then for 700 muffins we need 20.35×700=14245g
14245g= 14.245kg
since she has 10.8kg then she needs extra (14.245-10.8)kg
=3.445kg
Santiago receives $133 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is two times the amount invested at 3%. Find the amount invested at each rate. the amount invests at 2% is how much $?
Simplify the expression. (Section 3.1) 46. 4x + 3 - 9x
Answer:
37.4x+3
Step-by-step explanation:
46.4x-9x+3 : group like terms
=37.4x+3
Answer:
-5x + 3
Step-by-step explanation:
4x + 3 -9x
4x + (-9x) + 3
4x - 9x + 3
-5x + 3
Write the percent as a fraction in simplest form and as a decimal.
36. 23.5%
Explain why 10 - 8 - 2 has a different answer to 10 - (8-2)
Explain why 10 + 8 - 2 is the same as 10 + (8 - 2)
Why is addition the same when parentheses is added to the subtraction 8 - 2, but subtraction is not the same?
Answer:
see explanation
Step-by-step explanation:
10 - 8 - 2 ← perform the first subtraction
= 2 - 2
= 0
while
10 - (8 - 2) ← evaluate parenthesis
= 10 - 6
= 4
On Friday Evelyn sold 9 dresses and 20 pairs of pants. On Saturday she sold twice as many dresses and 10 more pairs of pants than on Friday. How many dresses did she sell on Friday and Saturday?
50 is NOT the answer…
PLEASE ANSWER ME:
Write each ratio as a fraction in lowest terms:
Q1 - 24.8 to 13.4
Q2 - 1.5 to 4.5
Answer:
Q1=1 11/13 Q2= 1/4
Step-by-step explanation:
You estimate it to the nearest whole and from then on simplify it to the least possible.
Hope this helps
1 ACTIVITY: Estimating a Part
Work with a partner. Use a model to estimate the answer to each question.
b. What number is 75% of 30?
Answer: 22.5
Step-by-step explanation:
Multiply 3/4 by 30 to get the answer.
Drag each condition to the correct location on the table. Match each condition to the number of triangles that can be constructed to fit the condition. condition A: one side measuring 4 inches, another side measuring 8 inches, and a third side measuring 10 inches condition B: one angle measuring 60°, another angle measuring 40°, and a third angle measuring 90° condition C: one side measuring 4 inches, another side measuring 8 inches, and the angle between them measuring 70° condition D: one side measuring 5 inches, another side measuring 7 inches, and a third side measuring 12 inches condition E: one angle measuring 30°, another angle measuring 80°, and the length of the included side measuring 8 inches condition F: one angle measuring 40°, another angle measuring 80°, and a third angle measuring 60°
Answer:86
Step-by-step explanation: drag the 4 to the 8
Which of the following expressions are equivalent to -3 x 3 x -4/9
Choose all that apply:
A. -3 x 3 x - 4/-9
B. 3 x -3 x - 4/9
C. None of the above
please help
15 x 3 - 21/3 divided by 24/4?
Answer:
43.8
Step-by-step explanation: