Answer:
Number of gallons consumed by first car = 15 gallons
Number of gallons consumed by second car = 25 gallons
Step-by-step explanation:
Given that:
Fuel efficiency of first car = 30 miles per gallon
Fuel efficiency of second car = 15 miles per gallon
Total distance traveled = 825 miles
Total gas consumption = 40 gallons
To find:
Number of gallons consumed by each car = ?
Solution:
Let the number of gallons consumed by first car = [tex]x[/tex] gallons
As per question statement, number of gallons consumed by second car:
[tex]40-x[/tex]
Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed
Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]
Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])
Using the given statement:
[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]
Therefore, Number of gallons consumed by first car = 15 gallons
Number of gallons consumed by second car = 40 - 15 = 25 gallons
Expand the expression 2(y + 5x)
Answer:
2y+10x
Step-by-step explanation:
distribute the 2 into the rest of the equation
How much is 2% of 3.50
Answer:
.07
Step-by-step explanation:
3.50 * 2% = .07
or
3.50 * .02 = .07
if there are 250 fish in the lake and 50 more are added each year, write a linear equation
Simplify 81 to the negative 3 fourths power. (1 point)
Question 8 options:
1)
−27
2)
negative 1 over 27
3)
27
4)
1 over 27
Answer:
negative 1 over 27
Step-by-step explanation:
81 * negative 1 over 27 = -3
Answer:
[tex] \dfrac{1}{27} [/tex]
Step-by-step explanation:
[tex] 81^{-\frac{3}{4}} = [/tex]
[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]
[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]
[tex] = \dfrac{1}{(3)^3} [/tex]
[tex] = \dfrac{1}{27} [/tex]
What is c?
1.51=c10
c = can someone explain I'm a little confused >
Answer:
0.151
Step-by-step explanation:
1.51=c10
we divide 10 by both sides
1.51/10 = c10/10
we cancel 10/10 and 1.51/10=0.151
so
c=0.151
tell me if u need a more clear explanation
Answer: 15 hope this help's and if not please give a bad rating
Estimate and then solve 8,784 ÷ 61 = ___. answers: 133 134 143 144 I WILL MARK U BRAINLEIST IF ITS RIGHT
Answer:
The answer is 144
Step-by-step explanation:
Answer:
Ummm...
8,784/61=
144, D ??Please helppppp!!!!!!!!
Answer: I think it's B
Step-by-step explanation: You can use the answer if you want.
A family is calculating the cost for one semester of college next year. Each hour of class will cost $155. A scholarship gift of $64 can be deducted from costs. If h is the number of hours taken, and c is the total cost, which equation can be used to calculate the total tuition costs for a semester?
C=89h
C=155h+64
C=155h-64
C=-155h-64
Answer:
c=155h-64
Step-by-step explanation:
you mulitply the cost of the classes by the amount of hours, then you deduct the scholarship gift(64) from the total and get your total cost of the semester
Find The Angle (See Image)
Answer:
do you how many there is 5 angles if thats what ur asking
Step-by-step explanation:
What is the equation of the line that passes through the point (-4,-6)(−4,−6) and has an undefined slope?
Answer:
x = -4
Step-by-step explanation:
there is no y-intercept when slope is undefined
Undefined slope indicates a vertical line passing through the x-axis at the x-coordinate of any known point
Need help solving #7 please
Answer:
False
Step-by-step explanation:
The equation says 21 is greater than or equal to 27, so it is false
Express 0.495 in standard form
Answer:
4.95 x 10^-1
Step-by-step explanation:
4.95 x 10^-1
Please help me solve these problems! I'll give you all my brain points. IM DESPERATE!!!
:-;
Answer: kg
Step-by-step explanation:
can someone please help me out with this.
what is the greatest common factor between 20 and 25
Answer:
5
Step-by-step explanation:
I need help with number 21 please help!!!
Answer:
This is not a direct variation.Step-by-step explanation:
Direct variation:
mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
(y varies directly with x with a constant variation of k)
[tex]y=kx;\ k\neq0[/tex]
[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]
[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]
what two numbers' sum=-4 and product=-2
Let a and b be the two numbers. Then
a + b = -4
a b = -2
Solve the second equation for b :
b = -2/a
Substitute this into the first equation:
a - 2/a = -4
Multiply both sides by a :
a² - 2 = -4a
Move 4a to the left side:
a² + 4a - 2 = 0
Use the quadratic formula to solve for a :
a = (-4 ± √(4² - 4(-2))) / 2
a = -2 ± √6
If a = -2 + √6, then
-2 + √6 + b = -4
b = -2 - √6
In the other case, we end up with the same numbers, but a and b are swapped.
What happens to the graph of f(x) when it is multiplied
by a number between - 1 and 0?
help please and maybe explain the answer if you have time
Answer:
I would say that it's A 1/3 because it's the slope and that's what a rate of increase is
You have 33 math and science problems for homework. You have 7 more math problems than science problems. How many problems do you have in each subject?
For this question type the two equations that you are using and your solution to the system.
Answer:
x=33/7 m=7+x
Step-by-step explanation:
33 divided by 7 is 5 (when rounded) then you add 5 to 7 and get 12. Hope this helped yu!! Give brainliest.
Answer:
x=33/7 m=7+x
Step-by-step explanation:
so if you divide 33 by 7 you get 4.71428571429 which would be 5 when rounded and then you add 5 to 7 to get 12 I HOPE THIS HELLPEEDD
16. Keisha has a bag that contains 3 red, 2 orange, 1 yellow, and 2 purple marbles. She will
randomly choose 1 marble from the bag. What is the probability that Kelsha will choose
an orange marble?
O.
3
8
2
-bh
1
0
8
o
0
1
4
2
Answer:
1/4
Step-by-step explanation:
you add 3+2=5+2=7+1=8 which is the total amount 8. Then the question is asking What is the probability that Kelsha will choose
an orange marble then the orange marble is 2 which is 2/8. Then simplify 2/8 get to 1/4.
For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maximum and minimum temperatures at which nitrogen is a liquid, x?
The equation that can be used to find the maximum and minimum temperatures is
Answer:
For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.
Hope this helps! :D
4a I do not understand the process
Answer:
9/40
Step-by-step explanation:
He needs 5/8, he already has 2/5, so still needed is 5/8-2/5.
To add or subtract fractions, the denominators must be equal.
Simplest approach is to multiply them. 8 times 5 is 40, so 40 is the new denominator we need for both fractions.
So first we convert 5/8 to 25/40.
Then we convert 2/5 to 16/40.
Now we can subtract them:
25/40 - 16/40 = 9/40.
9/40 cannot be simplified so this is the final answer.
There are some basic rules you need to know to work with fractions. If above work is too fast, comment below for deeper explanation.
A quantity with an initial value of 120 decays exponentially at a rate of 9.5% every 7
hours. What is the value of the quantity after 3.25 days, to the nearest hundredth?
Answer:
39.46
Step-by-step explanation:
what is the equation of this graph?
Answer:
C. x=4
Step-by-step explanation:
In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.
Please help me with this
Answer:
A
Step-by-step explanation:
Find the equation of a line that passes through the points (-1,3) and (3,5). Leave your answer in the form y = m x + c
Answer:
⇒
y
=
−
2
x
+
13
Explanation:
You can use point-slope form to determine the slope
m
:
y
2
−
y
1
=
m
(
x
2
−
x
1
)
Given:
⇒
p
1
=
(
x
1
,
y
1
)
=
(
3
,
7
)
⇒
p
2
=
(
x
2
,
y
2
)
=
5,3)
Finding the slope:
3−7=m(5−3)−4=2m⇒m=−2
Step-by-step explanation:
If Tamair has $100 & gives $40 to her best friend Tsion, but Tsion gives $20 to Tamair, how much money does Tamair have left?
A) 90
B) 80
C) Tamair is broke
D) Tsion is broke
Answer:
B) 80
Step-by-step explanation:
Thats my bestie so dont mess with her or its gonna be a problem
Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 inches. His work is shown below. V = B h Step 1: 324 pi = pi 12 squared h Step 2: 324 pi = 24 pi h Step 3: StartFraction 324 pi over 24 pi EndFraction = StartFraction 24 pi over 24 pi EndFraction h Step 4: h = 13.5 pi inches What is the first error that James made when calculating the height of the cylinder? In step 1, he substituted into the volume formula incorrectly. In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24. In step 4, the Pi should have canceled, making the correct answer 13.5 cm. James calculated the height of the cylinder correctly.
Answer:
I believe the answer is B let me know if it's wrong
Answer:
(B) In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24.