Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The rate at which the oil burns.
1 hour = 2/3 ounce
At 12 noon = 193/3 = 64.33 ounces
At 2 pm = 63 ounces
At 5 pm = 61 ounces
The amount of oil at 12 noon is 64.33 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.
At 2 p.m., the amount of oil left in the lantern is 63 ounces.
At 5 p.m., the amount of oil left in the lantern is 61 ounces.
This means,
Amount of oil burnt in the lantern from 2 pm to 5 pm.
= 63 ounces - 61 ounces
= 2 ounces
Now,
3 hours = 2 ounces
2 hours = 1.33 ounces
1 hour = 0.67 ounces
Now,
The number of hours from 12 noon to 2 pm.
= 2 hours
So,
The amount of oil at 12 noon.
= 63 + 4/3
= (189 + 4) / 3
= 193/3 ounces
Thus,
The amount of oil at 12 noon is 65 ounces.
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Based on the experiment if a card is chosen 200 times how many times would you expect to pick a card without stripes?
The number of expected times to pick a card without strips is 130.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The percentage of stripes from the 120 times.
= 42/120 x 100
= 35%
Now,
Based on this experiment,
The number of strip cards out of 200 times.
= 35% of 200
= 35/100 x 200
= 35 x 2
= 70
The number of times to pick a card without strips.
= 200 - 70
= 130
Thus,
The expected number of times to pick a card without stripes is 130.
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The complete question is given below.
Sahil is 3/4 foot taller than Charlie. Charlie is 5 1/8 feet tall. Which equation can be used to find Sahil’s height, h ?
A. 3/4 + h= 5 1/8
B. 3/4 - h= 5 1/8
C. 5 1/8 + 3/4= h
D. 5 1/8 - 3/4= h
Answer:
Step-by-step explanation:
C. 5 1/8 + 3/4 = h
Since Charlies heigh is 5 1/8 feet tall. It says Sahil is 3/4 foot taller then Charlie. So 5 1/8 + 3/4 = Sahil height
what is Negative ninety two hundredths as number
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength? *
======================================================
Explanation:
If there were 7 boys and 5 girls, then we'd have the ratio of 7:5. The boys are listed first because of how your teacher mentions boys first to set up the ratio. The order is important. That means 7:5 is different from 5:7.
With 7 boys and 5 girls, we see that there are 7-5 = 2 more boys compared to girls, and not 8. The jump from 2 to 8 is "times 4", which means we'll need to multiply each gender count by 4 to get to the class size we want
boys: 7 ---> 7*4 = 28
girls: 5 ---> 5*4 = 20
Having 28 boys and 20 girls will lead to the ratio 28:20, and it reduces fully to 7:5 when we divide both parts by the GCF 4.
The total number of students is 28+20 = 48
-----------------
Here's another way we can solve.
x = number of girls
x+8 = number of boys, since there are 8 more
The ratio of boys to girls is 7:5, meaning,
(number of boys)/(number of girls) = 7/5
(x+8)/x = 7/5
(x+8)*5 = x*7 .... cross multiply
5x+40 = 7x
40 = 7x-5x
40 = 2x
2x = 40
x = 40/2
x = 20
There are x = 20 girls and x+8 = 20+8 = 28 boys. So 20+48 = 48 total.
cuál es el resultado de |-15| x (-5)
Answer:
[tex]\frac{15}{x^5}[/tex]
Step-by-step explanation:
[tex]\left|-15\right|x^{-5}[/tex]
Step 1: Apply exponent rule: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\left|-15\right|\frac{1}{x^5}[/tex]
Step 2: Multiply fractions: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
[tex]=\frac{1\cdot \left|-15\right|}{x^5}[/tex]
Step 3: Simplify
[tex]=\frac{15}{x^5}[/tex]
The result is [tex]=\frac{15}{x^5}[/tex]
Spanish/Espanól
Respuesta:
[tex]\frac{15}{x^5}[/tex]
Explicación paso a paso:
[tex]\left|-15\right|x^{-5}[/tex]
Paso 1: aplique la regla del exponente: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\left|-15\right|\frac{1}{x^5}[/tex]
Paso 2: multiplica fracciones: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
[tex]=\frac{1\cdot \left|-15\right|}{x^5}[/tex]
Paso 3: simplifica
[tex]=\frac{15}{x^5}[/tex]
El resultado es [tex]=\frac{15}{x^5}[/tex]
i feel like im doing something wrong here it's in order of operation
(3+5)5-20(2+5) when i put it in a calculator it says the answer is 27 but when i work out the problem out i get out 0
We will solve the expression:
(3 + 5)*5 - 20*(2 + 5)
Step by step, and we will get the solution -100.
How to solve the expression?Here we want to solve the following expression:
(3 + 5)*5 - 20*(2 + 5)
The first thing that you need to solve when working in these type of problems, are the operations inside the parenthesis, then we will get:
(3 + 5)*5 - 20*(2 + 5) = (8)*5 - 20*(7)
Now we need to solve the two products, we will get:
(8)*5 - 20*(7) = 40 - 140 = -100
Thus, the solution of that expression is -100.
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This function describes the time, t(d), in seconds, an object takes to hit the ground after falling d feet.
t (d) =sqrt{d/16}
How long will it take for an object to fall 1,600 feet?
A. 4 seconds
B. 10 seconds
C. 100 seconds
D. 160 seconds
Answer:
help me plzz
Step-by-step explanation:
The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes
A manufacturer of all-in-one printers is concerned that the warranty costs for a particular printer model exceed the amount expected by the company. Based on a review of completed warranty claims, the distribution of the warranty cost per claim is skewed to the right with mean $150 and standard deviation $50. A random sample of 25 completed warranty claims is selected, and the sample mean cost is recorded. Suppose the process of selecting a random sample of 25 completed warranty claims and recording the sample mean cost is repeated for a total of 100 samples. Which of the following best describes a dotplot created from the 100 sample means?
(A) The dotplot has the same shape as the distribution of the population with mean $150 and standard deviation $25.
(B) The dotplot has the same shape as the distribution of the population with mean $150 and standard deviation $50.
(C) The dotplot has the same shape as the distribution of the population with mean $150 and standard deviation $100.
(D) The dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $10.
(E) The dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $50.
Answer: D. The dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $10.
Step-by-step explanation:
Based on the dotplot created from the 100 sample, the dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $10.
The mean of the sampling distribution is just exactly like the population mean. On the other hand, the standard deviation will be: = 50/✓25 = 50/5 = 10
Therefore, the correct option is D.
Work out
m
and
c
for the line:
y
=
9
x
Answer:
Find answers below.
Step-by-step explanation:
The equation isn't explicitly stated or well written. Thus, we would assume two (2) case scenario for the equation of line by altering the signs.
Scenario 1;
y = 9 + x
Mathematically, the equation of a line is given by the formula;
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Comparing the two equations, we have;
y = mx + c = 9 + x
Constant, c = 9
Slope, m = 1
Scenario 2.
y = 9 - x
y = mx + c = 9 - x
Constant, c = 9
Slope, m = -1
In this figure please see questions
Answer:
15,700
Step-by-step explanation:
The formula is 3.14(r^2)h
Hope this helped :)
Find the value of x, if x,3,5 and 15 are proportional,
Answer:
» x : 3 :: 15 : 5
» x = 15
3 5
» x = 15 × 3
5
» x = 3 × 3
» x = 9
Step-by-step explanation:
What is the domain of the function F(x) = 2 cos(3x - 1)?
A. [-2, 2]
B. [-1, 1]
C. All real numbers
D. [-3,3]
Answer:
All real numbers
Step-by-step explanation:
Using the collected data above what would be a reasonble rough estimate of a ratio of how many cubic inches per orange?
given the farmer's market wanted o use a box that had the dimensions, approximately how many oranges should fit?
The ratio is 17.14 cubic inch per orange and 168 oranges for given dimensions.
What is volume?In three dimensions, everything takes up some space. What is being measured here is the area's volume. The volume of an object is the area occupied inside its three-dimensional boundaries. It is referred to as the object's capability on occasion.
The amount required to fill an object can be determined by finding its volume, for example, how much water is required to fill a bottle, aquarium, or water tank.
Given
dimensions of box 20 x 13 x 12, 12 x 12 x 12 and 20 x 10 x 6
volume of box 1 = 20 x 13 x 12 = 3120 cubic inches
volume of box 2 = 1728 cubic inches
volume of box 3 = 20 x 10 x 6 = 1200 cubic inch
oranges in box 1 = 96
oranges in box 2 = 53
oranges in box 3 = 37
and radius of orange = 32./2 = 1.6 inches
volume of each orange = 4/3πr³
volume of each orange = 4/3(3.14)(1.6)³
volume of each orange = 4/3(3.14)(4.096)
volume of each orange = 17.14 cubic inches
here one orange will cover 17.14 cubic inches.
7. let the dimension of box is 15 x 12 x 16
volume of box is = 15 x 12 x 16 = 2880 cubic inches
the number of oranges in box will be 2880/17.14 = 168 oranges
Hence there will be 17.14 cubic inch per orange volume is covered, and 168 oranges will be in box for given dimensions.
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Question 7 is incomplete the missing dimensions are 15 x 12 x 16.
Khan Academy Question pls answers only
Answer: 0
Step-by-step explanation:
When x = 6, y = 0 [since the graph passes through (6,0)].;
2//2/2/3/2/2//3/3/3//3/3/4/5/5
Answer:
can u be more specific so i can properly help u
Explanation:
pls explain and i will edit my answer
what fraction of 3 kilograms is 50 grams
Answer:
50/30
5/0
1.6%
Step-by-step explanation:
the length of a rectangular frame is 15 inches and the width of 8 inches. what is the length of a diagonal of this Fram inches
Answer:
using the phytogaran theory we get 17 inch as the length of the diagonal
Answer:
sorry just a sec
Step-by-step explanation:
maybe 9?
what is the equation of four less thrice a number and two will result to forty six
Answer:
4 - b x 2 = 46
Step-by-step explanation:
does anyone know what this is?!?! describe the transformation that occurs
Answer: see below...
Step-by-step explanation:
1. Reflection across the y axis.
2. Translation by a vector (0, -6): 0 units to the right/left, 6 units down.
Answer:
Step 1 is a reflection across the y- axis.
Step 2 is a translation 6 units down.
Step-by-step explanation:
Which expression is equivalent to 5-3(x+2)?
A. -3x - 1
B. -3x+10
C. 2x + 4
D. 2x-6
A pipe has 9/16" that is threaded, but you need to trim 4/32" off of the threaded part. How long will the threaded be after the trim? a. 17/32, b. 7/8, c. 7/16, d/ 15/32
Please help me with this faster if you know please?!!!
Answer:
22%
Step-by-step explanation:
************************************
Answer:
81%
Step-by-step explanation:
The total number of Large drinks: 27
The probability that a customer orders a Hot and Large drink if the customer ordered a Large is the ratio of the number of Hot and Large drinks to the number of Large drinks:
22/27 = 0.8148 = 81.48%
Henry believes that if you square the expression x^4 The result will be x^16. Is Henry correct? (Help please)
The solution set of the equation x² + 5x = 0 is:
A. {0}
B. {5}
C. {-5}
D. {0, -5}
Answer:
D
Step-by-step explanation:
x²+5x=0
by factorizing;
x(x+5)=0
x=0 or x+5=0
Therefore, x= 0 or x=-5 ---> {0, -5}
A shop has a sale of 15% off all items in stock.
If the original price of a dress is £40 what would be its sale price?
Answer:
The sale price is 34 euros.
Step-by-step explanation:
40 * .85 (100% - 15% = 85% or .85) = 34
The sum of two numbers is 52. The smaller number is 20 less than the larger number. What are the numbers?
Answer:
36 and 16
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you can get the answer from 40+12 giving you 52 but its not stated the type of problem it is so use addition.
please help me someone
Answer: itz d plz trust me
find the slope for 1-6
Answer:
1) 10/3
2) -1./3
3) -2/5
4) 1
5) undefined
6) 0
Step-by-step explanation:
Find two easy to read points. Go from one point to the other by going vertically first then horizontally. Moving up is positive and down is negative. Moving right is positive and left is negative.
slope = rise/run = (difference in y)/(difference in x)
1) slope = 10/3
2) slope = -1/3
3) slope = -2/5
4) slope = 1/1 = 1
5) slope = undefined (The slope of a vertical line is undefined.)
6) slope = 0 (The slope of a horizontal line is 0.)
w and x are whole numbers.
w < 40
x < 30
Work out the smallest possible value of
W-X
Answer:
W-X/(35-25 = 10)
Step-by-step explanation:
this could be a possibility
5 + 23 ÷ 4 = Which operation would you do first:
A: Addition
B: Exponents
C: Division
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