Xavier is driving home. He starts 250 miles from home and his car can travel 28 miles per gallon of gasoline he uses. Xavier stops at a rest stop that is 100 miles from home. Let g be the amount or gas he has used at that point. Set up and solve an equation for how much gas Xavier used to get to the rest stop.
Answer:
For 100 miles he uses 3.571 gallons of gasoline.
In equation form it is y/x*100
Step-by-step explanation:
Unitary Method
He travels 28 miles per gallon of gasoline.
For 1 mile he uses 1/28 gallons
For 100 miles he uses 1/28 * 100= 100/28= 3.571 gallons of gasoline.
Let x be the miles and y be the gallons of gasoline used to travel x miles.
Then for 1 mile the gallons of gasoline used will be y/ x gallons.
For 100 miles the gallons of gasoline used will be y/x *100 gallons.
In equation form it is y/x*100 gallons for 100 miles where x is the number of miles and y is the amount of gallons.
(Help!!)Select all the true statements.
Answer:
the first choice, the second choice, and the last choice
Step-by-step explanation:
5 and 6 because they are alternate angles
2 and 3 because they are corresponding angles
2 and 4 because they are corresponding angles
Write a loss of $20 as an integer.
Answer:
-20
Step-by-step explanation:
you loss means it's a negative number
Answer:
-20
Step-by-step explanation:
-20 if added to a number, such as 40, it's would result in 20.
Imagine that you are doing an exhaustive study on the children in all of the daycares in your school district. You are particularly interested in how much time children spend in active play on weekends. You find that for this population of 2,431 children, the average number of minutes spent in active play on weekends is μ = 65.87, with a standard deviation of σ = 87.08. You select a random sample of 25 children of daycare age in this same school district. In this sample, you find that the average number of minutes the children spend in active play on weekends is M = 59.28, with a standard deviation of s = 95.79.
The difference between M and mu is due to the sampling error is ______.
Answer: The difference between M and mu is due to the sampling error is -6.59 .
Step-by-step explanation:
As per given:
in population, the average number of minutes spent in active play on weekends is μ = 65.87
In sample, the average number of minutes the children spend in active play on weekends is M = 59.28
Now, the difference between M and μ is due to the sampling error is M- μ
= 59.28 - 65.87
= -6.59
So, the difference between M and mu is due to the sampling error is -6.59 .
2/7(x+4)=−6 help
x=−35
x=−25
x = 25
x =35
Answer:
x= -25
Step-by-step explanation:
Please help me I need to solve by factoring!!
Answer:
x=5
Step-by-step explanation:
3x^2=15x
Subtract 15x from both sides
3x^2-15x=0
Factor out 3x
3x(x-5)=0
Since 0 divided by any number is zero, we get that:
x-5=0
x=5
(3x 2)*7* _ x 12 x 7)
3528x^3
when you look it up remove the bar at the bottom or its weird right?
What is the decimal equivalent of 18/5
The correct answer is 3.6 because you only divide 18 by 5 and you'll get your answer.
The decimal equivalent of 18/5 is 3.6.
What is the decimal equivalent of 18/5?
To convert a fraction to a decimal, you divide the top number by the bottom number. In this situation, you take the number 18 and divide it by the number 5.
When you divide, you get 3 as your answer and you have 3 left over. So, the decimal equivalent is 3. 6
Learn more about decimal
https://brainly.com/question/703656
#SPJ6
If someone answers I'll give them brainliest but pls help me
Answer: She forgot to change the mixed number into a fraction.
Step-by-step explanation:
what are the common factors of 24 and 36
Answer:
12
Step-by-step explanation:
24 - 1,2,3,4,6,8,12,24
36 - 1,2,3,4,6,9,12,36
common factors are - 1,2,3,4,6,12
gcf - 12
What does the pattern in the residual plot indicate about the type of model?
a. The pattern is random, indicating a good fit for a nonlinear model.
b. The pattern shows the points are far from the zero line, indication a good fit for a linear model.
c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.
d. The pattern is not random, indicating a good fit for a nonlinear model.
e. The pattern is random, indicating that the model is unable to be determined.
Answer: c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.
d. The pattern is not random, indicating a good fit for a nonlinear model.
Step-by-step explanation:
A residual plot is a graph that represents
residuals on the vertical axis independent variable on the horizontal axis.Two main kids of plot are there.
First plot gives a random pattern, indicates a good fit for a linear model.
Other plots are non- random, indicates a good fit for a non- linear model.
Two points are correct for any residual plots :
c. The pattern shows the points are far from the zero line( basically u-shaped), indicating a good fit for a nonlinear model.
d. The pattern is not random, indicating a good fit for a nonlinear model.
1/6 = 5/12 + p
Solving Equations.
please help me and show all work 30 points
5x-(3x-6)=18
2(3x-4)=10
2x+7=5x+16
Answer:
5x-3x-6=18
2x=18+6
2x=24
x=24÷2
x=12
Leyla needs to hire a plumber to fix a few things around her house. She will need plumbing service for a total of 3 hours. Which plumbing service should she go with to save money? How much will she save? Justify your answer.
Great! So let’s solve for Joe’s Plumbing charges first. To find his price for 3 hours, solve J(3)=45(3)=$135.
Now let’s find Mark’s Plumbing charges. To find his price for 3 hours, plug 3 into M(t)=40t+25. So, M(3)=40(3)+25=$145.
Therefore, Joe’s Plumbing is cheaper than Matt’s plumbing by 10 dollars for a 3 hour job.
Find the average rate of change from a table.
Answer:
C. 1/2 (1 foot every 2 seconds)
Yall already know im stuck again will mark brainlyest
Answer:
1. 16
2. 1
3. 1
4. 4
5. 2
6. 8
7. 1
8. 9
9. 90
10. 10
Step-by-step explanation:
What is equivalent to ³√27a³b⁷
Answer:uu
Step-by-step explanation:
HELP QUICK PLEASE!!!
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Select Congruent or Not Congruent for each pair of quadrilaterals.
Congruent Not Congruent
quadrilateral 1 and quadrilateral 2
– quadrilateral 1 and quadrilateral 2
– quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
– quadrilateral 1 and quadrilateral 3
– quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
– quadrilateral 1 and quadrilateral 4
– quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
– quadrilateral 2 and quadrilateral 3
– quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
– quadrilateral 2 and quadrilateral 4
– quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4
Answer:
1, 4 nope 2, 3 yep
Step-by-step explanation:
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Answer:
A has 25 yd on each side and B has 16 ft each side. Please mark Brainliest since I was the first one to respond
Step-by-step explanation:
Answer: (a) 25yd.
(b) 8 ft
Step-by-step explanation:
(a) Since each side of the square are equivalent and there are four sides of a square. So you do 100÷4=25
(b)The formula for a square is A=bh.
Since 8x8=64.
is the answer infinite, zero, or indefinite
2x - 1 = 1 - 2x
Answer:
x = 1/2
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
2x - 1 = 1 - 2x
Step 2: Solve for x
[Addition Property of Equality] Add 2x on both sides: 4x - 1 = 1[Addition Property of Equality] Add 1 on both sides: 4x = 2[Division Property of Equality] Divide 4 on both sides: x = 2/4Simplify: x = 1/2what makes this statment true 9^-2=?
a)81
b)18
c)1/81
d)-1/81
Is -20 solution x/-10=2?
Answer:
Yes
Step-by-step explanation:
Multiply -10 on both sides so x=-20
2 + 31 X
To
+ 14 x
10
2.345
100
O
I
Answer:
12-12=21
Step-by-step explanation:
i think it is that
Questions on picture. Please help
Answer:
A) 2
Step-by-step explanation:
We already know that [tex]i[/tex] equals -1, so we can substitute that into the expression.
[tex](\sqrt{3} +(-1))(\sqrt{3} -(-1))\\(\sqrt{3} -1)(\sqrt{3}+1)[/tex]
Now we can use the distributive property to solve the rest
[tex](\sqrt{3} -1)(\sqrt{3}+1)\\\sqrt{3} *\sqrt{3} +\sqrt{3} -\sqrt{3}-1\\ 3+0-1\\=2[/tex]
Hope this helps! I apologize if I get this incorrect.
(a4b-5c3)2 please solve
Answer: I thibk it is
a^8c^6
_______
b^10
Please help me with this
Answer:
b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
Step-by-step explanation:
[tex] f(x) = \sqrt[3]{x + 2} [/tex]
[tex] y = \sqrt[3]{x + 2} [/tex]
[tex] x = \sqrt[3]{y + 2} [/tex]
[tex] (x)^3 = (\sqrt[3]{y + 2}^3 [/tex]
[tex] x^3 = y + 2 [/tex]
[tex] y = x^3 - 2 [/tex]
[tex] f^{-1}(x) = x^3 - 2 [/tex]
Answer: b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
Please help I have no clue how to do this
Answer:
D
Step-by-step explanation:
The Correct Answer Is D, You Will Estimate All Of Your Answers Up, And One Down.
IN
19. 5x + 7 < 2x + 1
How to solve
Answer:
x < - 2
Step-by-step explanation:
Step 1:
5x + 7 < 2x + 1 Equation
Step 2:
3x + 7 < 1 Subtract 2x on both sides
Step 3:
3x < - 6 Subtract 7 on both sides
Step 4:
x < - 6 ÷ 3 Divide
Answer:
x < - 2
Hope This Helps :)
During one week, Sheila made several changes to her bank account. She made four withdrawals of $40 each from an ATM. She also used her check card for a $156 purchase. Then she deposited her paycheck of $375. By how much did the amount in her bank account change during that week?
Answer:
179
Step-by-step explanation:
40+156=196
375-196= $179.00
if I'm not wrong
Answer: $59 increase
Step-by-step explanation: since we don't know how much she had in her bank account prior to making 4 withdrawals it's hard to find the answer so a like and rating would be appreciated. We know she withdrew $40 dollars 4 times which would mean she withdrew $160 dollars, then she used her card for a $156 dollar purchase, so if we add $160 and $156 dollars we get $316 dollars spent. Then she deposited a check of $375 dollars into the bank account so we have to subtract $316 from $375 dollars to get $59 dollars, now since we subtracted and we are left with an extra amount rather than the money wasted we started with it means it's an increase as we are left with $59 and not with a price lower than $316.
Examine triangle ABC.
Triangle A B C. Angle B is 79 degrees. Exterior angle to A is (x + 5) degrees and the exterior angle to C is x degrees. What is the value of x?
37
48
127
138
Answer:
x=127
Step-by-step explanation:
total sum of all angle of triangle is 180 degree
Now,
taking angle A let interior angle be Y
taking angle C let interior angle be Z
Again, In angle A
the sum of interior angle and exterior angle is 180 degree being staright line
Or, y+(x+5)=180
or,x+y=180-5
or, x+y=175
or,y=175-x --------eqn 1
In angle C
the sum of interior angle and exterior angle is 180 degree being staright line
or, x+z=180
or, z=180-x ----------eqn2
Again, In triangle ABC
total sum of all angle of triangle is 180 degree.
Angle A+ Angle B + AngleC=180
Or, y+79+z=180 -------eqn3
putting the value of eqn-1 and eqn-2 in eqn-3
Or, 175-x+79+180-x=180
Or, 431-180= 2x
Or, 254÷2=x
hence X= 127 degree
Answer:
c127
Step-by-step explanation: