Answer:
8
Step-by-step explanation:
GCF of 64 and 72 is 8.
I hope it helps you..
For their group project, Mia and Ichiro researched
hybrid cars that combine gas and an electric motor.
“Awesome, so it consumes less fuel and emits less
CO2 into the environment,” Ichiro said.
“While hybrid cars are better for the environment,
I’m seeing that some people are hesitant to buy one
because of the higher purchase price,” Mia noted.
They found the graph to the right, which shows the
miles per gallon (MPG) and the annual tons of GHG
produced by 8 different types of cars. If each gallon
of gasoline burned created 20 pounds of GHG, and
the price of gasoline was $2.454 per gallon, how
much money was saved annually on gas by the car
that got 40 miles per gallon when compared to the
car that got 20 miles per gallon? Provide your answer
to the hundredths place. Note: 1 ton = 2,000 pounds. This is from Pg.2 -7th Grade math problem.
Hybrid cars have lower operational cost and reduce Green House Gases
GHG when journeys are made on a frequent basis.
The amount saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon is $1,076.76.Reasons:
The given parameters are;
The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds
The price per gallon of gasoline = $2.454Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.
Amount of GHG produced per year by cars A = 4.4 tons
4.4 US tons = 8,800 lbs
Amount of GHG produced per year by cars A = 8.8 tons
8.8 US tons = 17,600 lbs
[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}[/tex]
Cost of gasoline consumed per year by car A per year is therefore;
[tex]Cost_A[/tex] = 440 gallons × $2.454 = $1,079.76
[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons[/tex]
Cost of gasoline consumed per year by car B per year is therefore;
[tex]Cost_B[/tex] = 880 gallons × $2.454 = $2,159.52
The amount saved annually by car A compared to car B is therefore;
Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76
The amount saved on gas by the 40 MPG car = $1,079.76Learn more here:
https://brainly.com/question/14806781
how many feet in 13 miles, 176 yards?
What is the slope-intercept equation of the line that includes (0, 12) and
(4,36)?
Answer:
The slope is 6, but the equation is below.
Step-by-step explanation:
Y2 - Y1/X2 - X1
36-12/4-0
Or
12-36/0-4
=6
You'll get the same answer either way.
If u get this right u get branlnest
Answer:
Option 4
Step-by-step explanation:
[tex]2(a+6)[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2+6)=2(8)=16[/tex]
-------------------------------
Check first option:
[tex]4a+8[/tex]
Substitute [tex]a=2[/tex]:
[tex]4(2)+8=8+8=16[/tex]
Since 16 is not greater than 16, the first option is incorrect.
-------------------------------------------------------------------------------------
Check second option:
[tex]2a+a^2[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2)+2^{2} =4+4=8[/tex]
Since 8 is not greater than 16, the second option is incorrect.
-------------------------------------------------------------------------------------
Check third option:
[tex]2a+12[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2)+12=4+12=16[/tex]
Since 16 is not greater than 16, the third option is incorrect.
-------------------------------------------------------------------------------------
Check fourth option:
[tex]a^4+2[/tex]
Substitute [tex]a=2[/tex]:
[tex]2^4+2=16+2=18[/tex]
Since 18 is greater than 16, the fourth option is correct.
examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is
Answer:
The pattern is adding by consecutive odds.
Step-by-step explanation:
The first odd you start with is 3:
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
25 + 11 = 36
...
Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.
~
Which equation has a solution of r = 1/3
Answer:
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A.
2 2/3 + r = 3
r = 3 - 2 2/3
r = 1/3
B.
r - 1 = 2/3
r = 1 2/3
C.
3r = 1/3
r = 1/9
D.
4r = 12
r = 3
Answer: A.
Write an equation of the line in slope-intercept form.
Answer:
y = x + 4
Step-by-step explanation:
From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).
slope = m = rise/run = 1/1 = 1
The y-intercept is b = 4
y = mx + b
y = x + 4
I need help with my math
Answer:
x^7
Step-by-step explanation:
Answer:
(x)(x)(x) . (x)(x)(x)(x)
Step-by-step explanation:
That's the answer. Hope it helps:)
logx=(logx)^2
find the value of x without using calculator
Answer:
x = 1
Step-by-step explanation:
log(1) = 0
log(1) = [tex]log(1)^{2}[/tex]
0 = [tex]0^{2}[/tex]
0 = 0
Select all of the following that are quadratic equations. 7x2 + 14x = 0 x3 - 3x2 + 1 = 0 5x - 7 = 0 x2 + 3x -5 = 0 x - 5 = 9x + 7 x2 - x = 3x + 7
Answer:
7x2 + 14x = 0
x2 + 3x -5 = 0
x2 - x = 3x + 7
Step-by-step explanation:
A quadratic equation has the highest power of x to the second power. It must have x to the second power
7x2 + 14x = 0 quadratic
x3 - 3x2 + 1 = 0 not quadratic but cubic
5x - 7 = 0 not quadratic but linear
x2 + 3x -5 = 0 quadratic
x - 5 = 9x + 7 not quadratic but linear
x2 - x = 3x + 7 quadratic
Reasoning if you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain.
To find the other angles in a parallelogram if only one is given then you need to subtract the number with 180 to find the consecutive angles. With the theorem 6-5 opposite angles are congruent, so the opposite side would have the same value.
what is the percent of change from 5 to 7
Answer:
The answer is 20% have a great day
Answer:
40%
Step-by-step explanation:
that's what googl e said
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Juan sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
352 visitors purchased no costume.
82 visitors purchased exactly one costume.
46 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a decimal to the nearest hundredth.
Answer:
So we see it goes 1 to 2 or other number but we would have to look closely because less people more thing to buy so it will probably 10 or more
Answer:
Step-by-step explanation:
the answer is 0.44
what is the equation of this line in slope-intercept form
Answer:
y=3/5x+3 i think
Step-by-step explanation:
3 is the y intercept, and to find the slope its rise over run so 3 up and 5 to the side, i hope this helps!!
HELP ME OUT PLEASE
PLS SEND PICTURE OF WHAT TO DO
Use the data to create a scatter plot.
Answer:
(2,5)
(3,8)
(4,13)
(5,12)
(6,18)
(7,20)
Plug those into the scatter plot graph
Step-by-step explanation:
The left side is the x axis and the right side is the y axis
What is 924 \ 6
Please explain how you did it
( BTW / stands for “divided by”)
Tell me if I’m reading this incorrectly just in case. Thanks!
Answer:
154
Step-by-step explanation:
use the bus stop method so you divide each number separately, starting from the left.
9 divided by 6=1 with a remainder of 3 because 1x6=6 and 9-6=3. Then you move that 3 over to the next number, the 2, to make it 32.
32 divided by 6=5 with a remainder of 2 because 5 x 6=30 and 32-30=2. Then you move that 2 over to the next number, the 4, to make it 24.
24 divided by 6 is 4.
So if you put all of those numbers together, it makes 154.
Can someone help me with this question? please
unicorn a is 4 times older than unicorn b.The sum of their ages is 1.450.
Answer:
Unicorn a : 1,160, and Unicorn b : 290
Step-by-step explanation:
We can make this an equation
Unicorn a is 4x
Unicorn b is x
4x + x = 1,450
x = 290
Unicorn a : 4•290= 1160 years old
Unicorn b : is 290 years old
Use the graph below to answer the question. On a coordinate plane, a line goes through (0, 0) and (3, negative 3). What is the slope of a line that is perpendicular to the line in the graph?
Answer:
y = x
Step-by-step explanation:
So 1st we need to find the slope of the original line which is y = -x
(use slope formula)
2nd Now we just need to reverse the slope, and that gets us to y = x
Answer: 6
its obvious
Hello. I am trying to figure out how to convert 17cm2 or cm squared to in2 (in squared)
Answer:
1 cm2 = 0.155 in2; 1 in2 = 6.4516 cm2
Step-by-step explanation:
Welcome, Brainlest Please?
Order the following numbers from least to greatest.
|-1 1⁄2|, 1 3⁄4, |-1 1⁄5|, 1 2⁄5
Answer:
|- 1 1/5|, 1 2/5, |-1 1/2|, 1 3/4
Step-by-step explanation:
Consider the pattern 24, 33, 42, 51, …. What will the 10th term be?
Answer:
a₁₀ = 105
Step-by-step explanation:
There is a common difference between consecutive terms , that is
33 - 24 = 42 - 33 = 51 - 42 = 9
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 24 and d = 9 , then
a₁₀ = 24 + (9 × 9) = 24 + 81 = 105
The 10th number of the arithmetic sequence will be 105.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The arithmetic sequence is given below.
24, 33, 42, 51, ....
The first term is 24 and the common difference will be
d = 33 - 24
d = 9
Then the 10th term of the arithmetic sequence will be
a₁₀ = 24 + (10 - 1) × 9
a₁₀ = 24 + 9 × 9
a₁₀ = 24 + 81
a₁₀ = 105
The 10th number of the arithmetic sequence will be 105.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
Given f(x) = 2x - 5 , find the average rate of change of f(x) from x = 2 to x = 5?
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=2x - 5 \quad \begin{cases} x_1=2\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(2)}{5-2}\implies \cfrac{[2(5)-5]~~ - ~~[2(2)-5]}{3} \\\\\\ \cfrac{5-(-1)}{3}\implies \cfrac{5+1}{3}\implies 2[/tex]
f(x)=x^2-(7/2)x-.5 and g(x)= 2-(2/x)
Answer:
23
Step-by-step explanation:
A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?
Answer:
so no answer
Step-by-step explanation:
no answer
What is the Ratio of 129 215
Answer:
none
Step-by-step explanation:
Help help help help help help
Answer:
Step-by-step explanation:
A' (- 3 + 4, 4 + 2) = (1, 6)
B' (- 1 + 4, 2 + 2) = (3, 4)
C' (- 5 + 4, 0 + 2) = (-1, 2)
Solve the Quadratic
Solve for x. Write in simplified radical form.
2x^2 + 3x – 20 = 0
Solution 1:
Solution 2:
~quadratic equation
======================
2x² + 3x - 20 = 0
= a + b = 3
= ab = 2(-20) = -40
= a = -5
= b = 8
= (2x² - 5x) + (8x - 20)
= x(2x - 5) + 4(2x - 5)
= (2x - 5) (x + 4)
= Solution 1 : x = 5/2 ✔️
Solution 2 : x = -4 ✔️
~ nice to help you ^^
[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]
which ones would be correct?
[tex] \: \: \: \: \: [/tex]
parallelogramA parallelogram has two pairs of congruent sides. For two line segments to be congruent, they must have equal length.hope it helps[tex] \: \: \: \: \: [/tex]
Use partial products to multiply
73
×
42
73×4273, times, 42.
Answer:
13,101,108
as in Thirteen million ,hundred and one thousand, one hundred and eight