Unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. For example: 8/4 = 2 and 3/6 = 0.5. When we write numbers in decimal form, we can write them as a ratio with one as the denominator.
For example, we can write 2 as 2/1, and 0.5 as 0.5/1. However, since that approach can be a little clumsy, we usually drop the one. That said, it's important to remember the one is there, especially when working with unit rates.
For instance, 8 miles/4 hours = 2 miles/hour. Notice again that, while we did not include the 1, we did include the unit 'hour' Miles per hour is a familiar expression, as are unit rates such as:
interest/amount invested
revolutions/minute
salary/year
Conversationally, the word ''per'' indicates we are using a unit rate.
*) Which of the following numbers is 90 divisible by?
-3(9+2y) need help please
Answer:
-27 - 6y
Step-by-step explanation:
Eggs can be packaged 12 ( 1 dozen ) to a carton while English muffins are generally sold in packages of 8 . How many of each would you buy to make egg muffin sandwiches ( 1 egg per muffin ) so that you would use the same number of eggs and muffins with no extra eggs or muffins left over ? Explain how you solved the problem .
Answer:
2 cartons of eggs and 3 bags of English muffins
Step-by-step explanation:
2x12 = 24 and 3x8= 24
1. Simplify (x2 + 3) - (4x2 – 7)
Answer:
3x^2
———
28
Step-by-step explanation:
1 . x^2
Simplify ——
7
2. 3 x2
— • ——
4 7
3. 3
Simplify —
4
4.3 x2
— • ——
4 7
Find the area of the shaded region.
Answer:555
Step-by-step explanation:558 +3
Simplified
2(x + 8) + 3(x -9)
Answer:
5x - 11
Step-by-step explanation:
Step 1: Write out expression
2(x + 8) + 3(x - 9)
Step 2: Distribute
2x + 16 + 3x - 27
Step 3: Combine like terms (x)
5x + 16 - 27
Step 4: Combine like terms (constants)
5x - 11
A rectangle has an area of 189 m2 and the length of 21m. What is it’s width?
Answer:
9 meters
Step-by-step explanation:
189 divided by 21 is 9 (:
Answer:
9m
Step-by-step explanation:
To find the width of a rectangle given area and length all you need to do is take your area (189 in this case) and divide it by your length. (In this case 21.)
Here's our equation:
189 ÷ 21 = 9
(remember the meters squared is important if you're finding area. This doesn't apply in our case as we're only finding the width. To be more clear the "m² and/or m^2")
9m is your answer.
Hope this helps and have a nice day!
please help SOS. I have an exam tomorrow. This theme will be on exam
Answer:
(x - 1) (x + 3) (x + 5)
Step-by-step explanation:
The constant at the end (-15) can only be factored into 1, 3 and 5, assuming integers. Then, you only have to choose which one of these gets the minus sign.
I'm not sure if this approach will work in general, but it works for this one.
4 x (50 – 1)
4 x 50
50 - 4 x 1
-
Answer: 4 times (50-1)=196
4 times 50 =200
50-4 times 1 =46
Step-by-step explanation:
Which graph shows f(x) = |x| reflected across the x-axis, translated 2 units down and 1 unit to the left?
Answer:
First question is B
Second question is also B :)
Step-by-step explanation:
If the function is translated 2 units down and 1 unit to the left. Then the function will be f(x) = |x + 1| - 2
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function is f(x) = |x|.
If the function is translated 2 units down and 1 unit to the left. Then the function will be
f(x) = |x + 1| - 2
The graph is shown below.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Which of these numbers is expressed properly in scientific notation? Why?
A. 54.263 x 10E7
B 5.4263 x 10E5
How many solutions does the following equation have?
3(x+5) = -4x+ 8
Choose 1 answer:
А No solutions
BExactly one solution
CInfinitely many solutions
Bill drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Bill
drove home, there was no traffic and the trip only took 5 hours. If his average rate was 18 miles per hour faster on the
trip home, how far away does Bill live from the mountains?
Do not do any rounding.
Answer: 315 miles
Step-by-step explanation:
let onward speed = x mph, then distance = 7x
return speed = (x+18) mph, (same) distance = 5(x+18)
equating the two,
7x = 5(x+18)
2x = 90 ==> x = 45 mph
so distance = 7*45 = 315 miles
How do you do these questions?
Step-by-step explanation:
The width of each interval is Δx = (4−1)/6 = 1/2.
a) Evaluate the function at the beginning and end of each interval.
f(x) = 7√(ln x)
f(1) = 7√(ln 1) = 0
f(1.5) = 7√(ln 1.5) ≈ 4.4573300
f(2) = 7√(ln 2) ≈ 5.8278823
f(2.5) = 7√(ln 2.5) ≈ 6.7006153
f(3) = 7√(ln 3) ≈ 7.3370295
f(3.5) = 7√(ln 3.5) ≈ 7.8348826
f(4) = 7√(ln 4) ≈ 8.2418702
Calculate the area of each trapezoid.
T₁ = ½ (0 + 4.4573300) (1/2) = 1.1143325
T₂ = ½ (4.4573300 + 5.8278823) (1/2) = 2.5713031
T₃ = ½ (5.8278823 + 6.7006153) (1/2) = 3.1321244
T₄ = ½ (6.7006153 + 7.3370295) (1/2) = 3.5094112
T₅ = ½ (7.3370295 + 7.8348826) (1/2) = 3.7929780
T₆ = ½ (7.8348826 + 8.2418702) (1/2) = 4.0191882
The total area is therefore:
T = 1.1143325 + 2.5713031 + 3.1321244 + 3.5094112 + 3.7929780 + 4.0191882
T = 18.139337
b) Evaluate the function at the midpoint of each interval.
f(1.25) = 7√(ln 1.25) ≈ 3.3066651
f(1.75) = 7√(ln 1.75) ≈ 5.2365230
f(2.25) = 7√(ln 2.25) ≈ 6.3036165
f(2.75) = 7√(ln 2.75) ≈ 7.0404861
f(3.25) = 7√(ln 3.25) ≈ 7.5996115
f(3.75) = 7√(ln 3.75) ≈ 8.0477348
Calculate the area of each rectangle.
M₁ = (3.3066651) (1/2) = 1.6533325
M₂ = (5.2365230) (1/2) = 2.6182615
M₃ = (6.3036165) (1/2) = 3.1518082
M₄ = (7.0404861) (1/2) = 3.5202431
M₅ = (7.5996115) (1/2) = 3.7998057
M₆ = (8.0477348) (1/2) = 4.0238674
The total area is therefore:
M = 1.6533325 + 2.6182615 + 3.1518082 + 3.5202431 + 3.7998057 + 4.0238674
M = 18.767318
c) Simpson's rule can be calculated as:
S₆ = Δx/3 [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + 4f(x₅) + f(x₆)]
S₆ = (1/2)/3 [0 + 4(4.4573300) + 2(5.8278823) + 4(6.7006153) + 2(7.3370295) + 4(7.8348826) + 8.2418702]
S₆ = 18.423834
The line segment is extended to cross both axes. What is the location of the y-intercept on the line?
0 (0, -22)
0 (0, -10)
0 (0, -5)
0 (0,5)
Answer: B. (0,-10)
(I got it right in the exam review.)
Answer:
The answer is B.
Step-by-step explanation:
The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random will conform to the specifications on voltage
Answer:
0.9876
Step-by-step explanation:
Given a normal distribution :
Mean(m) of distribution = 5V
Standard deviation (sd) = 0.02 V
Lower voltage specification = 4.95
Upper voltage specification = 5.05
Using the Zscore formula :
(x - m) / sd
x = 4.95
(4.95 - 5) / 0.02
-0.05 / 0.02 = -2.5
P(Z ≤ -2.5) = 0.0062
x = 5.05
(5.05 - 5) / 0.02
0.05 / 0.02 = 2.5
P(Z ≤ 2.5) = 0.9938
P(Z ≤ 2.5) - P(Z ≤ -2.5)
0.9938 - 0.0062 = 0.9876
Y as a function of x graph
Answer:
complete the question please
Step-by-step explanation:
Please help, What (x+y)(x-y)
Answer:
x^2-y^2
Step-by-step explanation:
positive x * positive x = x^2
positive y * negative y = -y^2
Answer:
[tex]x^{2}[/tex]-[tex]y^{2}[/tex]
Step-by-step explanation:
(x+y)(x-y)
Use Foil
x(x-y)=[tex]x^{2}[/tex]-xy
y(x-y)=xy-[tex]y^{2}[/tex]
Combine
[tex]x^{2}[/tex]-xy+xy-[tex]y^{2}[/tex]
-xy and xy cancel each other out so our final answer is
[tex]x^{2}[/tex]-[tex]y^{2}[/tex]
What is 0.04 in two other forms? Write each fraction in its simplest form.
Answer:
In fraction form: 1/25
In percent: 4%
Step-by-step explanation:
Two students raced their model cars down a track. The first car traveled
at 40 centimeters per second. The second car traveled at 45 centimeters
per second. If the cars started at the same time, how far apart were the
cars after 3 seconds?
The difference in speed is 45-30 = 5 centimeters per second.
5 centimeters per second x 3 seconds = 15 centimeters.
They were 15 centimeters apart
If x = 13, then the value of Vx – 5 is Ob Oa a rational number an irrational number Ос undefined d an integer
Answer: I tried and I think the answer is a
Step-by-step explanation:
five million divided by fivethousand
Answer:
1000 (one thousand)
Step-by-step explanation:
Answer:
5,000,000/5,000 = 1000
Step-by-step explanation:
Take 5 million and divide by 5 thousand like so and you'll come out with 1000. Also, this is an easy one to plug into a calculator.
You invested $7,000 in two accounts paying 6% and 8% annual interest. If the total interest earned for the year was $520, how much was invested at each rate?
Answer: Answer: 2000 was invested into 6%, 5000 was invested Into 8%
Step-by-step explanation:
8% of 5000 = 400
6% of 200 = 120
Describe the transformation's necessary to transform the graph f(x) into that of g(x)
Answer:
C and F
Step-by-step explanation:
Those two just work, that simple
Points are identified in pictures by
Answer:
Graphs
Step-by-step explanation:
I need help thank you:)
A musical group sells hats at their concerts. After one concert, they sold 120 out of 200 white hats and 210 out of 300 black hats. Which ones are true?
60% of white hats were sold
70% of black hats were sold
A greater percentage of white hats were sold
A greater percentage of black hats were sold
Answer: The musical group sold 60%of the white hats and 70%of the black hats.
A greater percentage of black hats were sold.
Step-by-step explanation: to answer this question we have to divide the number of hats sold by the number of total hats for each case.
Then, we have to multiply that result by 100, to obtain the result in percentage form.
White Hats: (120/200) x 100 =60%
Black hats: (210/300) x 100= 70%
The musical group sold 60%of the white hats and 70%of the black hats.
A greater percentage of black hats were sold. (Since 70 > 60 )
A national standardized test is graded on a scale from 1 to 5. The scores for a particular school are given below. If a student is chosen at random, what is the probability that they scored a 4 or a 5?
Answer:
60%
Step-by-step explanation:
NWEA2020 Mom Helped Meh
Answer:
60%
Step-by-step explanation:
Im good with a scientific calulator.
Covert 67 inches to centimeters.
a. 17.01 cm
b. 26.38 cm
c. 170.18 cm
d. 263.80 cm
Answer:
c-179.18
Step-by-step explanation:
hope this helps
Absolute Value is the distance front any point to zero. This distance can be positive or
negative depend in which direction the point is located
Is this statement true or false?
Answer:
False
Step-by-step explanation:
Absolute value is always positive no matter what you do.
I have attached an image for you so you can understand it better.
Hope I helped!
