Answer:
The car will travel between 250 and 300 miles with a consumption of between 10 and 12 gallons of gasoline.
Step-by-step explanation:
If a car travels 25 miles on a gallon of gasoline, when using between 10 and 12 gallons of gasoline, the miles it will travel are derived from the following calculation:
1 = 25
10 = X
((25 x 10) / 1) = X
250 = X
So if you use 10 gallons of gasoline, the car will travel about 250 miles. Now if you use 12 gallons, it will go about 300 miles.
Therefore, the car will travel between 250 and 300 miles with a consumption of between 10 and 12 gallons of gasoline.
Find an equation for the line below.
Answer:
y=mx+b
y=1/3x-3.5
i think thats the answer not completely sure tho ik 1/3 is the slope
Step-by-step explanation:
Find the equation of the line that goes through the points (-2, 5) and (3, 1).
Answer:
y=-4x+13 this is what i think
Step-by-step explanation:
If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *
Answer:
48,410$ in 2021
Step-by-step explanation:
3% of 47,000 is 1,410
add the 3% increase to 47,000 to get 48,410$
Answer:
[tex]48[/tex],[tex]410[/tex]
Step-by-step explanation:
__________________________________________________________
[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]
[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]
__________________________________________________________
[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]
[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]
__________________________________________________________
Hope this helps! <3
__________________________________________________________
A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that the two balls are black and red?
Answer:
[tex]Probability = \frac{1}{5}[/tex] or [tex]Probability = 0.2[/tex]
Step-by-step explanation:
Given
[tex]Black = 25[/tex]
[tex]White = 35[/tex]
[tex]Red = 40[/tex]
Required
Determine the probability of selecting Black and Red
First, we need to calculate the number of red and black balls
The probability is calculated as thus:
[tex]Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)[/tex]
Convert to mathematical expressions
[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex]
Solve for each probaility;
[tex]P(Black) = \frac{Black}{Total} = \frac{25}{100}[/tex]
[tex]P(Red) = \frac{Red}{Total} = \frac{40}{100}[/tex]
So, we have:
[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex][tex]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}][/tex]
[tex]Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}][/tex]
[tex]Probability = [\frac{1}{10}] + [\frac{1}{10}][/tex]
[tex]Probability = \frac{1+1}{10}[/tex]
[tex]Probability = \frac{2}{10}[/tex]
[tex]Probability = \frac{1}{5}[/tex]
or
[tex]Probability = 0.2[/tex]
Convert 2 weeks into minutes. CF: 1week = 7days 1day = 24hours 1hour = 60min
Answer:
20160 min
Step-by-step explanation:
Merry C-Mas
What is the y-intercept of the graph of 4x-10y =20???
An item is regularly priced at 55$ . It is now priced at a discount of 60% off the regular price. What is the price now?
Answer:
I believe it to be $22
Step-by-step explanation:
Mary has two job offers.
• The first job pays $8.00 an hour plus a $100 bonus.
• The second job pays $8.50 an hour plus an $80 bonus.
What equation would represent Mary's first job offer.
Answer:
8h+100
8.50h+80
Step-by-step explanation:
The equation for her first job is y = 8h + 100 and the equation for her second job is y = 8.5h + 100
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Mary has two job offers.
The first job pays $8.00 an hour plus a $100 bonus.
The second job pays $8.50 an hour plus an $80 bonus.
Let h be the number of hours and y be the income.
The equation for her first job will be
y = 8h + 100
The equation for her second job will be
y = 8.5h + 100
More about the linear system link is given below.
https://brainly.com/question/20379472
Consider these functions:
f(x)= -1/2x^2 + 5x
g(x)= x^2 + 2
What is the value of f(g(-2))?
Answer:
The value of f(g(-2)) is 12.
Step-by-step explanation:
We'll start by solving g(-2):
[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]
Now we can take that value and plug it into function f:
[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]
Alternatively, you can work out a new single function that in itself describes f(g())
[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]
and try plugging -2 into the new function
[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]
The value of f(g(-2)) for the given expression will be 12.
What is an expression?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
f(x) = [tex]\frac{-1}{2} x^2[/tex] + 5x
And,
g(x) = x² + 2
Now,
For, x = -2,
i.e.
g(x) = x² + 2
Now,
Substituting the value of x = -2,
g(-2) = (-2)² + 2
On solving,
We get,
g(-2) = 6
Now,
For, f(g(-2)),
f(x) = [tex]\frac{-1}{2} x^2[/tex] + 5x
i.e.
Substituting the value of g(-2) = 6,
i.e.
f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))
i.e.
f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex] + 5 * 6
On solving,
We get,
f(g(-2)) = -18 + 30
i.e.
f(g(-2)) = 12
So, the value of f(g(-2)) for the given expression is 12.
Hence, we can say that the value of f(g(-2)) for the given expression will be 12.
To know more about expression click here
https://brainly.com/question/953809
#SPJ2
Dave has a 32 ounce energy drink. He drinks 8 ounces. Enter the porcentage of ounces Dave has left from his energy drink. ,Round your answer to the nearest hundredth
Answer:
2,400%
Step-by-step explanation:
Line segment W Y is an altitude in triangle WXZ.
Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.
If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?
AngleXWZ is an obtuse angle.
AngleXWZ is a right angle.
AngleXWZ is congruent to AngleWXY.
AngleXWZ is congruent to AngleXZW.
Answer:
∠ XWZ is a right angle.
Step-by-step explanation:
See the given diagram.
In triangle WXZ, WY is an altitude.
So, ∠ WYZ = ∠ XYW = 90°
Now, given that ∠ ZWY = ∠ WXY.
Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)
⇒ ∠ ZWY + ∠ YWX = 90° {Since, ∠ ZWY = ∠ WXY}
⇒ ∠ XWZ = 90°
Therefore, the angle XWZ is right angle. (Answer)
Answer:
B. XWZ is a right angle
Step-by-step explanation:
edge 2020 plz vote brainliest
Marcus was showing how he solved a division problem with the area model below. His pen exploded ink on some of his work.
What is the divisor that is covered with ink on the left side of the model?
A. 100
B. 80
C. 56
D. 29
Answer:
C
Step-by-step explanation:
Need answer fasssssst
Answer:
Step-by-step explanation:
Use formulas to find the area of the figure. A triangle has a horizontal bottom side of length 8 centimeters and two sides of lengths 5 centimeters and 10 centimeters. The vertical distance from the top vertex to a line containing the bottom side is 3 centimeters.
Answer:
Don't let people bring you down you got this
Step-by-step explanation:
A recipe calls for the following spices: 18 teaspoon of turmeric, 18 teaspoon of ginger, and 14 teaspoon of cumin. What is the total quantity of these three spices?
Answer:
50 total
Step-by-step explanation:
when it's asking for a total you add the numbers together, and whatever number you get is your answer :)
sorry if it's wronggg :( !!
Total number of teaspoons quantity use is 50 teaspoons
Given information:
Number of teaspoons of turmeric = 18
Number of teaspoons of ginger = 18
Number of teaspoons of cumin = 14
Find:
Total number of teaspoons quantity use
Computation:
In the given question , we have to add all quantity
Total number of teaspoons quantity use = 18 + 18 + 14
Total number of teaspoons quantity use = 36 + 14
Total number of teaspoons quantity use = 50 teaspoons
Learn more:
https://brainly.com/question/23691041?referrer=searchResults
is 0.7 , 0.38 , 0.09 in the correct order? (highest to lowest)
Answer:
0.7, 0.38, 0.09
Step-by-step explanation:
0.7 > 0.38 > 0.09
Answer:
Yes
Step-by-step explanation:
0.7=0.70
0.38 is well 0.38
0.09 is basically 0.09
What is 20x - y = -40 in
slope-intercept form?
Answer:
y=20x+40
Step-by-step explanation:
slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40
6th-grade unit 10 lesson 4 review page 645
Answer:
?
Step-by-step explanation:
what is the value on the expression 1/2-(-1/3+2/5)?
Answer:
i think it is -7/30 but i am not sure
HELP HELP HELP HELP HELP HELP
The variabies y and z have a proportional relationstip, and y= 25 when x=60
What is the value of x when y= 30
X-25
X-36
X=50
X=72
whats -4 times (-9)
please help
Angie wants to buy Christmas presents for all 7 of
her cousins.
She wants to spend $4.75 on each one.
How much will she spend all together?
Answer:
$33.25
this is your answer because you multiply $4.75 times 7 friends and get a total of $33.25
A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom?
Answer:
11 waysStep-by-step explanation:
There are 11 ways, 5 of them are straight and 6 are involving side moves
See attached picture
Solve the equation and determine how many solutions for the equation.
4c-20=-20+4c
Answer:
16c
Step-by-step explanation:
How do you know that there exists a real number x>0 such that x^2 = 3?
no answer needed, just take the points.
Answer:0x0
Step-by-step explanation: there will have to be a number as its infinite numbers apparently
Answer:
Thought I would show you that my question you commented on was incomplete like I said, thanks for the points though.
Step-by-step explanation:
If one side of a cube is
(3x + 5) in, what is the volume of the cube? Represent volume
as a simplified polynomial.
urgent please help!! serious answers only
Answer:
The blank is 37.
Step-by-step explanation:
Ok. So 67 + 76 = 143.
Next since all triangles should be 180°
We know that since 180 - 143 = 37 the last angle should be 37.
May I please have Brainliest?!?
- hermionia
What is the domain of f(x)=(1/3)^x
Answer:
x + R
Step-by-step explanation:
Answer:y>0
Step-by-step explanation:
Anybody know how to do this?
Answer:
81°
Step-by-step explanation:
So you subtract those two number to find the missing angle and get 81°.