The unit rate of miles per gallon is found by dividing the total miles (150 mi) by the total gallons (10 gal), resulting in a unit rate of A) 15 miles per gallon.
To find the unit rate of miles per gallon when given 150 miles on 10 gallons of gas, we divide the total number of miles driven by the number of gallons of gas used. The calculation is as follows:
Write down the given values: 150 miles (mi) and 10 gallons (gal).
Divide the total miles by the total gallons to find the unit rate: 150 mi ÷ 10 gal = 15 mi/gal.
Therefore, the unit rate is 15 miles per gallon, which is option A: 15 mi per gal.
Paul rolled a number cube. What is the probability he will roll a 5 or 6
Answer:33
Step-by-step explanation:did test
25% of what number is 39?
Answer:
156 is your answer
Step-by-step explanation:
I think hope it helps
Draw the line and write an equation.
Line where the slope is 2, y-intercept is -1.
Complete the equation below
y=_______________
Use x as your variable.
Answer:
y = 2x - 1
Step-by-step explanation:
Slope intercept form is written as y = mx + b. Slope is m, so you substitute 2 for m. Y intercept is b, so you substitute -1 for b.
Use what you learned in the lesson and the online content to answer the following question: Which renewable source of energy should the United States focus its research and development efforts to make this source of energy our country’s main energy source by the year 2050? Why?
Answer:
the sun
Step-by-step explanation:
Answer:
Today we have technology that allows us to capture the sun's free and unlimited energy. The United States should focus its research & development efforts to make solar energy our country's main energy source by the year 2050. Solar energy is a renewable source because of the sun, and it does not produce any waste products. We are able to use solar panels & other devices to create renewable electricity for just about anywhere. It is safer and cleaner than other resources. We should seek to do this throughout the whole country so it can help our environmental status and solve the problem of running out of limited resources.
Step-by-step explanation:
got 100% on edg2021
For a moving object, the force acting on the object’s acceleration. When a force of 56 N acts on certain object, the acceleration of the object is 8 m/s^2. If the force is changed to 35 N, what will be the acceleration of the object?
Answer:
force
Step-by-step explanation:
Answer:
its force
Step-by-step explanation:
because i know
Which of these is a two-step equation?
A.X+9= 21
B.x = 11 + 2
C.2x+9= 21
D.x/3=9
NEED HELP ASAP
I need answers please
Answer:
Step-by-step explanation:
10) Cos (x-y) = cos x cos y + sin x sin y
cos 4x cox 3x + sin 4x sin 3x = Cos (4x - 3x)
= cos x
11) = 2*(1² + 2) + 2*(2² + 2²)
= 2*3 + 2*(4+4)
= 6 + 2*8
= 6 + 16
= 22
12) (3) 4x² - 3x - 8 = 0
Reason:
Sum of roots = - Coefficient of x/coefficient of x² = -(-3)/4 = 3/4
Product of roots = constant / coefficient of x² = -8/4 = -2
Solve the ineqyality: -4-5x < -29
A. X > -5
B. 5
C. X<-5
D. *<5
Please select the best answer from the choices provided
Answer:
x > 5
Step-by-step explanation:
-4-5x < -29
Add 4 to each side
-4+4-5x < -29+4
-5x < -25
Divide by -5, remembering to flip the inequality since we are dividing by a negative
-5x/-5 > -25/-5
x > 5
What is The volume of the rectangular prisim?
Answer:
1 1/9 ft³
Step-by-step explanation:
Volume of rectangular prism = L×W×H
3/3 × 2/3 × 5/3 = 30/27 = 1 3/27 = 1 1/9.
HELP FAST PLZZZZ FOR BBRAINLEST AND 50 POINTSS Which of the following algebraic expressions can be used to express the statement "five less than y squared?" 5 − 2y 2y − 5 y2 − 5 5 − y2
Answer: y² - 5
Step-by-step explanation:
Five less than y squared...
First, let’s establish the y squared.
It should look something like this:
y²
But, we know that we need 5 less than y squared.
Therefore, we know there needs to be subtraction.
I think about it this way:
When you have y squared, you need 5 less than it, or y squared - 5.
Therefore, your answer is y² - 5.
Answer:
y2 - 5
Step-by-step explanation:
There are 4 yellow marbles, 6 green marbles, and 5 blue marbles in a jar. Event A is defined as drawing a green marble from the jar on the first draw. Event B is defined as drawing a yellow marble on the second draw.
If two marbles are drawn from the bag, one after the other without replacement, what is P(B|A) expressed in simplest form?
A)4/15
B)2/7
C)1/3
D)2/5
Answer:(a)
Step-by-step explanation:
Given
There are 4 yellow, 6 green and 5 blue marbles
We have to find [tex]P(B\mid A)[/tex] i.e. conditional probability of B given that A is occurred.
[tex]P(B\mid A)[/tex] is given by
[tex]P(B\mid A)=\dfrac{P(A\cap B)}{P(A)}[/tex]
Also A=drawing a green marble
B=drawing a yellow marble
Total no of marbles [tex]=4+6+5=15[/tex]
So,
[tex]P(A)=\dfrac{6}{15}[/tex]
similarly [tex]P(B)=\dfrac{4}{15}[/tex]
[tex]P(A\cap B)=P(A)\times P(B)[/tex]
[tex]P(A\cap B)=\dfrac{6}{15}\times \dfrac{4}{15}[/tex]
[tex]P(A\cap B)=\frac{24}{225}[/tex]
Substituting the values in the formula
[tex]P(B\mid A)=\dfrac{\frac{24}{225}}{\frac{6}{15}}[/tex]
[tex]P(B\mid A)=\frac{24}{6}\times \frac{15}{225}[/tex]
[tex]P(B\mid A)=\frac{4}{15}[/tex]
Answer:
its acttually B
Step-by-step explanation:
A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a green or yellow marble? 75% 55% 20% 25%
Answer:
55%
Step-by-step explanation:
Which of the following expressions is a factor of the trinomial x^3 - x^2 - 6x l. x
II. x - 3
III. x + 2
Answer:
Both
Step-by-step explanation:
First,let's resolve the expression into factors
x^3-x^2-6x
x(x^2-x-6)
x(x^2-3x+2x-6)
x(x(x-3)+2(x-3))
x(×+2)(x-3)
Therefore,both of them are the factors of the expression
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced: 48
computers are produced in 4 days and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
What is theunit rate?
which answer choice shows the decimals in order from least to greatest?
A. 18.879, 18.31, 18.1, 17.899
B. 17.899, 18.1, 18.31, 18.879
C. 18.1, 18.31, 17.899, 18.879
D. 18.879, 17.899, 18.31, 18.1
Answer:
B. 17.899, 18.1, 18.31, 18.879
The histogram shows the number of runners who ran a given number of miles each week. How many runners ran 5–6 miles a week?
Answer:
5 runners
Step-by-step explanation:
By looking at the graph, the number of runners in the 5-6 mile category is 5.
Answer:5
Step-by-step explanation:
Which doesn’t belong?
Answer:
The one all the way on the right
Step-by-step explanation:
Its not a actual shape and has no properties
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?
Answer:
141.89526818714 cubic inches
Step-by-step explanation \
Vm = Volume of the men's basketball
Vm = (4/3)*pi*r^3
Vm = (4/3)*pi*(5)^3 ... diameter = 10 --> radius = 10/2 = 5
Vm = 523.598775598299 cubic inches
Vw = Volume of the women's basketball
Vw = (4/3)*pi*r^3
Vw = (4/3)*pi*(4.5)^3 ... diameter = 9 --> radius = 9/2 = 4.5
Vw = 381.70350741116 cubic inches
Difference in volume = Vm - Vw
Difference in volume = 523.598775598299 - 381.70350741116
Difference in volume = 141.89526818714 cubic inches
This result is approximate
Answer:
141.9 in.3
Step-by-step explanation:
Just did the assignment on edge2020
Help me somebodyyyyyyyy!!!! What is the area of this???
Answer:
32.4759526419
Step-by-step explanation:
If it is an equilateral triangle, that makes the height 5 * 1.5 = 7.5
That makes the base 15/sqrt(3).
That makes the area 112.5/2sqrt3 =
32.4759526419
Which measure of center best describes the following data?
Explain why. Jareds points scored in a basketball games: 12, 20, 32, 8, 14, 11, 15.
Answer:
Step-by-step explanation:
Factor completely and then place the factors in the proper location on the grid. 4 y^2 + 25 y + 6
Answer:
Hello There. I think the Correct answer is (4y+1)(y+6)
Step-by-step explanation:
Well I can't grid it for you, you didn't get give enough detail, however I can do the factoring.
Step-by-step explanation:
Given equation [tex]4y^{2} + 25y + 6[/tex][tex]4y^{2} + 25y + 6[/tex]
We have to write the given equation in factors form and then represent the factors on grid.
Consider the given equation [tex]4y^{2} + 24y + y + 6[/tex]
25y can be written as 24y + y , we get
⇒ [tex]4y^{2} + 24y + y + 6[/tex]
Taking 4y common from first two term and 1 common from last two term, we get,
⇒ [tex]4y(y + 6) + 1 (y + 6)[/tex]
⇒ [tex](4y + 1) (y + 6)[/tex]
Thus, factored form of given equation [tex]4y^{2} + 25y + 6 (4y + 1) (y + 6)[/tex]
Hope it helps!
From ItsNobody
The quadratic expression 4y^2 + 25y + 6 is factored by finding two numbers that multiply to 24 (product of A and C) and add up to 25 (the middle coefficient B). These numbers are 24 and 1, which leads to factoring the expression as (4y + 1)(y + 6).
Explanation:To factor the quadratic expression 4y^2 + 25y + 6, we will use the method of factoring by grouping or the AC method, where 'A' is the coefficient of the squared term and 'C' is the constant term.
Step 1: Multiply 'A' and 'C' (4 * 6 = 24) and find two numbers that multiply to 24 and add up to 'B' (the coefficient of the y term, which is 25).
Step 2: After finding the numbers 24 and 1 (since 24 * 1 = 24 and 24 + 1 = 25), rewrite the middle term (25y) as 24y + y.
Step 3: The expression now looks like 4y^2 + 24y + y + 6. Group the terms to factor by grouping: (4y^2 + 24y) and (y + 6).
Step 4: Factor out common terms from each group: 4y(y + 6) + 1(y + 6).
Step 5: Now that we have a common factor of (y + 6), the expression can be written as (4y + 1)(y + 6).
Learn more about Factoring Quadratic Expressions here:https://brainly.com/question/8342271
#SPJ2
Which algebraic expression represents the following phrase?
the square of the sum of m and 7
(m + 7)2
Om² +7
O2m + 7)
Om + 72
Answer:
(m + 7)^2
Step-by-step explanation:
The SQUARE of (The SUM of m and 7)
Let us try (The SUM of m and 7) first
(m + 7)
then try the square
(m + 7)^2
6. What is the expected value for the
age of a randomly chosen student in
this high school?
Answer choices
15.42
15.43
15.48
15.57
Answer:
15.48
Step-by-step explanation:
multiply the age by the number of students. Add the six numbers you get and divide by 1,000 (total amount of students)
or
15,480/1,000 = 15.48
What is the equation of the line?
Answer:
y = 7
Step-by-step explanation:
Note how the blue line passes through y = 7 on the y-axis.
The equation of this horizontal line is simply y = 7.
Plz help anyone thank you
Answer:(5,-3)
Step-by-step explanation:
Solve: 4/7 - (-4/7)
Answer:
1 1/7
Step-by-step explanation:
Subtracting a negative is adding
4/7 +4/7
8/7
Changing to a mixed number
1 1/7
How many pennies are in $3.25
Answer:
325
Step-by-step explanation:
100*3.25=325
Answer:
325
Step-by-step explanation:
Multiply $3.25 by the pennies worth; $3.25 x 0.01 = 325
4. A rectangular park has been constructed in
downtown Lilburn. The designer wants to put a gravel
walkway that cuts diagonally through the park. The
width is 8 ft and the height is 6 ft long. What is the
length of his walkway?
Answer:
10ft
Step-by-step explanation:
Think of the rectangle as two right triangles. Sides a and b on the triangle are 8ft and 6 ft. That's 8 squared + 6 squared = c squared. C is 10 ft.
The requried measure of the length of the walkway is 10 feet.
As mentioned in the question, The designer wants to put a gravel walkway that cuts diagonally through the park. The width is 8 ft and the height is 6 ft long.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
here,
As of the given condition apply Pythagoras' theorem,
length² = width² + height²
length = √6²+8²
length = √100
length = 10 feet
Thus, the requried measure of the length of the walkway is 10 feet.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ5
Jimmy is about to pick a marble from the jar. How likely is it that he will pick a blue marble?
Answer:
depends on how many different colors there are in the jar and how many marbles there are.
Step-by-step explanation:
Sawyer recorded the number of different types of pets his friends have in the table shown below:
Cats 2
Dogs 3
Rabbits 1
Guinea Pigs 3
Which of the following plots represents the data in the table? (5 points)
Question 6 options:
1)
2)
3)
4)
Answer:
The second graph
Step-by-step explanation: