Answer:256
Step-by-step explanation:640/10 equal 64
so then multiply 64x4 equal 256 so 256/640
The number of students who applied for admission is 1600
Using the values given in our Calculation:
Total number of admitted students = 640Admission proportion ; 4 out of 10Calculating the proportion of students who gets admitted :
4/10 = 0.4To obtain the number that would get admitted from 640 students, divide the total number of applications by the proportion
Now we have :
640 / 0.4 = 1600Therefore, only 1600 students applied .
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16. A farmer had 385.60 lb of tomatoes. She sold half of them at $1.15 per pound. How much money did she receive?
Answer:
Step-by-step explanation:
385.60 / 2 = 192.8
since 1lb = 1 pound
192.8 × 1.15 = $221.72
Circle the correct option: A, B, C, or D.
1. What is the estimated total of ticket sales for a theater which sold 289 tickets at $11.75 per ticket?
A 2,200
B 3,600
C 2,000
D 5,500
HELPPP:
A motorist planned a teipcovering 920 miles. After he had traveled 598 miles, wha5 percent of the mileage planned had he covered?
Answer:
The answer is 65 percent
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
This is a proportion question.
598 x
___ = ___
920 100
First, do 598 x 100 and get 59,800.
Then do 59,800/920 and get 65%.
8.33 Suppose Paul receives a 6% raise every year. After four such raises, what is the total percentage increase to the nearest whole percent?
Answer:
Given:
Suppose Paul receives a 6% raise every year.
To find:
After four such raises, the total percentage increase to the nearest whole percent.
The formula used to calculate percentage is: (value/total value)*100%.
Step-by-step explanation:
Step 1 of 1
Assume his salary is originally 100 dollars.
Then, in the next year, he would have 106 dollars, and in the next, he would have 112.36 dollars.
The next year he would have 119.1016 dollars and in the final year, he would have 126.247.
As the total increase is,
((126.247 -100)/100) *100
= 26.247%
the answer is 26%.
7.29. hose fills a swimming pool at a rate of 0.5 gallons per second. If the pool's capacity is 9,000 gallons, then how many hours does it take for the hose to completely fill an empty pool?
Answer:
It takes the hose 300 hours to fill the pool
Step-by-step explanation:
The hose can fill the pool at a rate of 0.5 gallons per second, which means that it can fill the pool at a rate of 1 gallon per 2 seconds. It needs to fill 9000 gallons of water, so assuming the ratio remains 1:2, it takes the hose 18000 (9000*2) seconds to fill the pool completely.
However, it is important to note that we have to answer in terms of hours. There are 60 seconds in an hour, so 18000 seconds is equal to 300 hours (18000/60).
Answer:
If the pool's capacity is 9,000 gallons the number of hours it takes for the hose to completely fill an empty pool is 5 hours.
Step-by-step explanation:
Given:
A hose fills a swimming pool at a rate of 0.5 gallons per second.
If the pool's capacity is 9,000 gallons, we have to find the number of hours it would take for the hose to completely fill an empty pool.
Step 1 of 1
Do a basic conversion problem:
time in seconds[tex]$=9000$ gallons $\cdot \frac{1 \text { seconds }}{0.5 \text { gallons }}$[/tex]
[tex]$$\begin{aligned}&=\frac{9000}{0.5} \text { seconds } \\&=18000 \text { seconds }\end{aligned}$$[/tex]
We can also convert seconds to hours using conversion factors. This gives
[tex]$$\begin{aligned}18000 \text { seconds } &=(18000 \text { seconds }) \cdot \frac{1 \text { minute }}{60 \text { seconds }} \cdot \frac{1 \text { hour }}{60 \text { minutes }} \\&=\frac{18000}{60 \cdot 60} \text { hours } \\&=5 \text { hours }\end{aligned}$$[/tex]
Write the percent as a decimal. 11. 33%
HELPPPP!!!!!!!!!!!!!!!! pls hurry , need correct answers 3
Answer:
"A value that is substituted in for the variable in a function in order to generate an output value" is gonna be known as an input.
"A group of two numbers written in the form (x, y) where the x value represents a horizontal position and the y value represents a vertical position" is known as an ordered pair.
"A value generated by a function when an input value is substituted into the function and evaluated" is known as an output.
I hope I have helped with this problem. Have a good day.
8.3.9 On December 1, Tom's House of Dollhouses increased the prices on all of its dolls by 25%. In January, Tom is having a sale where all dolls are priced 20% off the December prices. For any doll, is the January price higher than, lower than, or the same as the November price for that same doll? Does your answer depend on the doll's original price?
Answer:
The January price of the doll is same as the November price. It does not depend on the original price.
Step-by-step explanation:
- We are given with a word problem
- We are asked to find whether the January price is higher or lower or equal to the November price.
- We can do this in two steps
Step 1 : Finding the price of doll in December and January
Step 2 : Comparing them.
Step 1 of 2
Let x be the price of any doll in Tom's House.
The percentage increase in December is 25%
That is [tex]$\frac{1}{4} \times x=\frac{x}{4}$[/tex]
Then the price in December is
[tex]x+\frac{x}{4}=\frac{4 x+x}{4}$$\\ \frac{4 x+x}{4}=\frac{5 x}{4}[/tex]
And the percentage decrease in January is 20%
That is [tex]$\frac{20}{100}=\frac{1}{5}$[/tex] of that price in December
[tex]$$\begin{aligned}\frac{1}{5} \times \frac{5 x}{4} &=\frac{5 x}{5 \times 4} \\\frac{5 x}{20} &=\frac{x}{4}\end{aligned}$$[/tex]
17. Quinn bought 30 pens at $1.45 each. She gave the cashier $50. How much change did she get?
There are 26 students in William's math class. The mean height of the students is 160 cm, and the median height is 156 cm. The interquartile range of the heights is 18 cm, and the mean absolute deviation of the heights is 4.6 cm.
Part A: Suppose the students in William's math class are listed in order from shortest to tallest. What is the difference between the height of the seventh student in the list and the height of the twentieth student in the list?
Part B: Suppose a new student joins William's math class, and his height is 160 cm. What is the mean height of students in the class with the additional student?
Please answer both parts for 50 points. :))
Answer:
To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.There would be 13 less or equal to the median height.
Step-by-step explanation:
Answer:
There would be 13 less or equal to the median height.
Circle the correct option: A, B, C, or D.
3. Which of the following is 15.5 kg when rounded to 1 decimal place?
A 15.05 kg
B 15.45 kg
C 15.55 kg
D 15.15 kg
Answer:
Option AStep-by-step explanation:
To round to ONE decimal place means one significant number should be after the decimal point (.)Option A is the correct answer because if I a zero leads after the decimal point then it isn't significant.The zero in option A is insignificant but other numbers are and it says to ONE decimal place so option A is the correct answer.Hope this helps.Good luck ✅.
A farm has 2000 acres. If 3/5 of this was used for crops and 3/4 of the remainder was used for grazing, how many acres were left?
(Giving out 100 points!!)
Answer:
7 1/2 acres = 15 / 2 acres and a third of this is 5/2 or 2.5 acres for grazing animals.7 1/2 acres = 15 / 2 acres and a fifth of this is 3/2 or 1.5 acres for growing vegetables.
Step-by-step explanation:
*NEED HELP*
Graph the line that represents a proportional relationship between d and t with the property that increase of 5 units in t corresponds to an increase of 8 units in d. what is the unit rate of change of d with respect to t? (That is, a change of 1 units t will correspond to a change of how many units in d
PLEASE ANYONE HELP: The recycler pays a penny per pound for newspaper and a nickel per pound for aluminum. Rob wants to earn $20 for his club. He collects 1,100 pounds of newspaper. How many cans must Rob collect if each can weighs approximately 1 oz?
Answer:
2880 cans.
Step-by-step explanation:
Currently, he already collected 1,100 pounds of newspaper.
Each pound is equal to one penny or 0.01 dollars.
1100 * 0.01 = $11 dollars.
$20 - $11 = $9.
He needs $9 dollars.
$9 / 0.05 (Nickel value) = He needs 180 Nickels / Pounds of Aluminum.
180 pounds = 2880 oz (180 * 16)
He needs 2880 cans.
Rob needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.
Rob figure out how many aluminum cans he needs to collect to earn $20 for his club. The recycler pays different rates for newspaper and aluminum, so we'll use some mathematical concepts like Equations and conversion to find the answer.
To determine how many aluminum cans Rob needs to collect, we'll follow these steps:
Step 1: Calculate earnings from newspapers
First, we need to find out how much money Rob will make from the 1,100 pounds of newspaper he collected. The recycler pays one penny per pound for newspaper. So, the earnings from newspapers can be calculated using the formula:
[tex]\[ \text{Earnings}_{\text{newspaper}} = \text{Rate}_{\text{newspaper}} \times \text{Weight}_{\text{newspaper}} \][/tex]
Here, [tex]\(\text{Rate}_{\text{newspaper}}\)[/tex] is the rate per pound for newspaper, which is $0.01 (1 penny), and
[tex]\(\text{Weight}_{\text{newspaper}}\)[/tex] is the weight of newspaper collected, which is 1,100 pounds.
[tex]\[ \text{Earnings}_{\text{newspaper}}[/tex] = [tex]\$0.01 \times 1,100 ][/tex]
Step 2: Calculate earnings from aluminum cans
Next, we'll find out how much money Rob will make from collecting aluminum cans. The recycler pays five cents per pound for aluminum, which is equivalent to $0.05. However, the weight of the aluminum cans is given in ounces, so we'll need to convert it to pounds.
Since 1 pound is equal to 16 ounces, we can use the conversion factor:
[tex]\[ 1 \text{ pound} = 16 \text{ ounces} \][/tex]
To convert the weight of aluminum cans from pounds to ounces, we use the formula:
[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\text{Weight}_{\text{aluminum}} (\text{ounces})}{16} \][/tex]
We know that Rob wants to earn $20, and we already calculated the earnings from newspapers. So, we can find the earnings from aluminum cans using the formula:
[tex]\[ \text{Earnings}_{\text{aluminum}} = \$20 - \text{Earnings}_{\text{newspaper}} \][/tex]
Now, we can find the weight of aluminum cans in pounds:
[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\text{Earnings}_{\text{aluminum}}}{\text{Rate}_{\text{aluminum}}} \][/tex]
where [tex]\(\text{Rate}_{\text{aluminum}}\)[/tex] is the rate per pound for aluminum, which is $0.05.
[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\$20 - \text{Earnings}_{\text{newspaper}}}{\$0.05} \][/tex]
Step 3: Convert weight to number of cans
Since each aluminum can weighs approximately 1 ounce, we can find the number of cans Rob needs to collect by converting the weight from pounds to ounces:
[tex]\[ \text{Number of cans} = \text{Weight}_{\text{aluminum}} (\text{pounds}) \times 16 \][/tex]
Substitute the expression for[tex]\(\text{Weight}_{\text{aluminum}} (\text{pounds})\)[/tex] from Step 2:
[tex]\[ \text{Number of cans} = \left( \frac{\$20 - \text{Earnings}_{\text{newspaper}}}{\$0.05} \right) \times 16 \][/tex]
Now, let's calculate the number of aluminum cans Rob needs to collect to earn $20 for his club!
First, we'll calculate the earnings from newspapers:
[tex]\[ \text{Earnings}_{\text{newspaper}} = \$0.01 \times 1,100 = \$11 \][/tex]
Next, let's find the earnings from aluminum cans:
[tex]\[ \text{Earnings}_{\text{aluminum}} = \$20 - \$11 = \$9 \][/tex]
Now, let's calculate the weight of aluminum cans in pounds:
[tex]\[ \text{Weight}_{\text{aluminum}} (\text{pounds}) = \frac{\$9}{\$0.05} = 180 \text{ pounds} \][/tex]
Finally, we'll convert the weight from pounds to ounces:
[tex]\[ \text{Number of cans} = 180 \text{ pounds} \times 16 = 2,880 \text{ cans} \][/tex]
So, Rob needs to collect approximately 2,880 aluminum cans, each weighing approximately 1 ounce, to earn $20 for his club.
Rob collected 1,100 pounds of newspaper, earning $11 from the recycler. To reach his goal of earning $20 for his club, he needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.
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Solve. Justify your responses.
Given: a||b and c||d, m∠4=35°
Find: m∠1, m∠2, and m∠3
The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
m∠2 = m∠4 = 35° (corresponding angles are equal)
m∠2 = m∠3 = 35° (corresponding angles are equal)
m∠1 + m∠3 = 180° (base angles are supplementary)
m∠1 + 35 = 180
m∠1 = 145°
The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.
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Titus drew a circle with his compass. The circle has five central angles. Four of the angles measure 55°, 37°, 96°, and 88°. What is the degree measure of the last central angle? SHOW ALL WORK
PLEASE HELP ME AND REMEMBER TO SHOW ALL WORK, IT'S DUE TODAY!!!
TYSM
Answer:
84°
Step-by-step explanation:
The circle has five central angles that together equal to 360°.
55° + 37° + 96° + 88° = 276°
Hence, to find the fifth central angle, we have to subtract 276° from 360°.
360° - 276° = 84°
The degree measure of the last central angle is 84°.
Hope this helps! :)
PLEASE ANSWER AND EXPLAIN THE PROCESS
Step-by-step explanation:
Angle 1 = 105 degrees (co-interior angles on a set of parallel lines)
Angle 2 = 75 degrees (corresponding angles on a set of parallel lines)
Hope you have a nice day :)
How much is 2 quaters+ one 5 cents + 1 dime + 2 cents equals?
Answer:
67 cents
Step-by-step explanation:
2 quarters: one quarter is 25 cents, so two will be 50 cents.
5 cents: Just 5 cents.
1 dime: A dime is 10 cents.
2 cents: 2 cents!
Add everything up: 50 + 5 + 10 +2 = 67 cents!
12. Find the equivalent measure.
0.4 m = ___________ cm
[tex]\frak{Hi!}[/tex]
[tex]\orange\hspace{300pt}\above2[/tex]
[tex]\star\large\boldsymbol{\rm{Given-:}}[/tex]
0.4 metres, abbreviated as m[tex]\star\large\boldsymbol{\rm{We're\;Looking\;for}}[/tex]
0.4 metres is the same as how many centimetres, cm ?
[tex]\star\large\boldsymbol{\rm{This\;is\;how\;it's\;found}}}[/tex]
Multiply 0.4 by 100. That way,you will get the number of cm.
[tex]\large\boldsymbol{\rm{0.4\times100=40\;Centimetres}}[/tex]
[tex]\pmb{\tt{done!!!}}[/tex]
[tex]\orange\hspace{300pt}\above2[/tex]
Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.
PLS HELP ME
A scatter plot is shown below:
A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0,13) and (10,0)
Answer:
Step-by-step explanation:
I think that the best line you can draw with an ordered pair given would be (4,15) and (10,7)
Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt. What size fan belt will Cohan need for her new engine?
A - 14/250 = N/350
B - 350/14 = N/350
C - 350/1 = 250/N
Option A) 14/250 = N/350 is correct.
Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.
What is proportionality?proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.
Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350
Thus, the required proportion is given as 14/250=N/350.
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Need Help, Please ? Also show work.
Show all work.
10. If ab + 2c= c, then c =
(A) 2ab +c
(B) 4abc
(C) 3abc + 4c
(D) c+ 2ab
Answer:
I'm not sure but I guess it was D
Step-by-step explanation:
coz they want the c value
SO PROBABLY D OR A
TRY ASKING YOUR FRIEND
THANK YOU
18. Curry powder is sold at $7.45 per 100 g. How much money will Thuy need in order to buy 3 kg of curry powder?
Answer:
Step-by-step explanation:
$7.45 = 100g
x = 3kg( 3 × 1000) = 3000g
∵ $7.45 = 100g
x = 3000g
(100 × x) = (7.45 × 3000)
100x = 22350
100x/100 = 22350/100
x = $223.5
HELP ME PLEASE, I GOT STUCK AND IT'S DUE TODAY!!
Answer:
23. 1/5 24.7/10 25. 23/50
Answer:
his is correct
Step-by-step explanation:
Show all work.
10. If ab + 2c= c, then c=
(A) 2ob+c
(B) 4abc
(C) 3abc + 4c
(D) c+ 2ab
Find the value of a,b and c from the following figures .
Answer:
a=c=30⁰, b=150⁰.
Step-by-step explanation:
angle R is 120⁰ (vertically opposite angle)
so, for vertically opposite angle c we have,
30⁰+120⁰+c=180⁰
Hence, c=30⁰.
angle a = angle c = 30⁰ (corresponding angle).
180⁰-c = b (from figure being straight line)
or, b=180⁰-30⁰
hence, b=150⁰
What fraction does the green dot represent?
Answer: 1 1/5 or 6/5
Step-by-step explanation:
A peanut vendor sells roasted peanuts in three sized bags: 2 pounds for $3 and $5, pounds for $7.50, or 8 pounds for $12. Which is the best buy?
Answer:
a. 2p=3
b. 5p=7.5
c. 8p=12
a. p=1.5
b. p=1.5
c. p=1.5
their all the same
Hope This Helps!!!