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]
Please Help!
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
Write and solve an equation to determine the measure of angle y.
Answer:
90°
Step-by-step explanation:
In the picture, if you make a shape of the angles (including x°, y°, and the undefined angle), it is a circle, therefore it is 360° because a circle is 360°.
First, you add 50° + 40°, which gives you 90°. The undefined angle, which is 50° + 40° vertical angle is also 90° Therefore x° and y° must equal 90°.
1 ACTIVITY: Estimating a Part
Work with a partner. Use a model to estimate the answer to each question.
c. What number is 40% of 30?
Answer: 12
Step-by-step explanation:
Converting the problem into words, we have
x= 4/10*30
x=12
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%.
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 $20 for his club, he needs to collect 180 pounds of aluminum cans. This corresponds to approximately 2,880 aluminum cans, considering each can weighs approximately 1 ounce.
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8.3.9 On December 1, Tom's House of Dollhouses increased the prices on all of its dolls by 25%. In January, Tom is having a sale where all dolls are priced 20% off the December prices. For any doll, is the January price higher than, lower than, or the same as the November price for that same doll? Does your answer depend on the doll's original price?
Answer:
The January price of the doll is same as the November price. It does not depend on the original price.
Step-by-step explanation:
- We are given with a word problem
- We are asked to find whether the January price is higher or lower or equal to the November price.
- We can do this in two steps
Step 1 : Finding the price of doll in December and January
Step 2 : Comparing them.
Step 1 of 2
Let x be the price of any doll in Tom's House.
The percentage increase in December is 25%
That is [tex]$\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]
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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Simplify:
-x + 17 + (-12) + x
Answer: 5
Step-by-step explanation:
Negative x and positive x combined together cancel each other out
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.
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]
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%.
24. SPANISH TEST The double box-and-whisker plot shows the test scores of two Spanish classes taught by the same teacher.
a. Compare the populations using measures of center and variation.
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
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:
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
8.36 Polly the Penguin invested $250 in the Antarctic stock market. During the first year her investment suffered a 15% loss, but during the second year the remaining investment showed a 20% gain. Over the two-year period, what was the percent loss or gain in Polly's investment?
Answer:
The percentage gain in Polly's investment over the two year period will be 2%.
Step-by-step explanation:
Given:
- Polly the Penguin invested $250 in the Antarctic stock market.
- During the first year her investment suffered a 15% loss, but during the second year the remaining investment showed a 20% gain. Over the two-year period.
To Find:
- The percent loss or gain in Polly's investment.
The formula used to calculate percentage is: (value/totalvalue) x100%
- First, we determine the loss suffered by multiplying the loss percentage with the investment amount. Then, we get the amount after the loss is calculated. Then, we calculate the gain by multiplying the gain percentage with the previous amount to get the net amount in the second year.
Step 1 of 2
- The 15% loss in the first year on the investment amount $250 can be calculated as
[tex]$$\begin{aligned}&=250-15 \% \text { of } 250 \\&=250-\frac{15}{100} \times 250 \\&=250-\frac{3}{20} \times 250 \\&=250-\frac{750}{20} \\&=250-37.5 \\&=\$ 212.50\end{aligned}$$[/tex]
Step 2 of 2
- The 20% gain in the second year can be calculated as
[tex]$$\begin{aligned}&=212.50+20 \% \text { of } 212.50 \\&=212.50+\frac{20}{100} \times 212.50 \\&=212.50+42.50 \\&=\$ 255\end{aligned}$$[/tex]
- Here, we can observe that the total profits increased by $5 from the initial investment of $250. This means that 1% gain is equal to $2.50. So, 2% gains mean $5.
Answer:
5% gain
Step-by-step explanation: mental math
please help!
-1 1/3 ÷ 2 2/5=
Answer:
[tex]-\frac{5}{9}[/tex]
50 POINTS!
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 IS NOT 135% INCREASE*
PLEASE ANYONE: Roger worked 9 hours on Friday and 6 hours on Saturday.What is the ratio of the work done on Friday to the total hours worked on both days?
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 :)
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!!!
*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
Graph the inequality on a number line. (Section 4.1) 10. x > 5
Answer:
Please see the attached image.
Step-by-step explanation:
If x > 5, it means that the value of x can take on any value that is greater than 5. Therefore, if you draw a number line, you can put a circle on the number 5 and draw an arrow pointing to the right (in the positive direction, representing all the numbers greater than 5). It is important to note that the circle you draw on the number 5 should not be shaded. This is because, according to the problem, while x can be greater than 5, it cannot equal 5. A hollow circle signifies that the value cannot equal the number circled exactly. I hope this answers your question.
Can someone help on Question C?
It's - b + a
Because we're going down the arrow on b or the opposite direction of b. Then, up to C where its vector is a as it lies half way on AC with half of the line labelled a. So, the other half must be also a.
Hope this helps!
0.9(3/2.25-1/8(5/3+1/9))-4/7 / (8/10)
Need Help, Please ? Also show work.
19. A fabric dye was sold at $5.75 per 100 ml. Steven bought 4 L of this dye. How much did he pay?
Answer:
Step-by-step explanation:
(4l = 4000ml)
100ml = $5.75
4000ml = x
cross multiply
100x = (5.75 ×4000)
100x/100 = 23000/100
x = $230
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.
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 ✅.
HELP?: Concert tickets prices decreased from $125.00 to $75.00. What is the percent of decrease.
Answer:
40%
Step-by-step explanation:
percent change = (new number - old number)/(old number) × 100%
percent change = (75 - 125)/(125) × 100%
percent change = -40%
A negative percent change is a decrease.
Answer: 40%