Answer:
There was a 25% increase.
Step-by-step explanation:
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The formula for the remaining volume of fuel in a cars tank is I - E • D, where I is the initial volume of fuel, E if the fuel efficiency, and D is the distance traveled. Carson drove a distance of 120 kilometres. He initially had 30 litres of fuel, and his car's fuel efficiency is 100 cubic centimetres per kilometer. What calculation will give us the estimated volume of fuel left in Carson's tank by the end of the drive, in litres? a)30-100/1000 • 120 b)30•1000-100•20 c)30/1000 -100•120 d)30-100•1000•120
Answer:
a)30-100/1000 • 120
Step-by-step explanation:
Given:
Remaining volume of fuel in a cars tank = I - E • D
where,
I = initial volume of fuel
E = fuel efficiency
D = distance traveled.
Carson
I = 30
E = 100
D = 120
Estimated volume of fuel in Carson's tank = I - E • D
= 30 - 100/1000 * 120
a)30-100/1000 • 120
Answer:
A (30-(100/1000)x120)
Step-by-step explanation:
I is a volume quantity, D is a distance quantity, and E is a rate measured as volume/distance.
So ExD gives us volume quantity.
Distance units are consistent (kilometers) but the volume units of E are inconsistent with those of I and the desired answer.
Let's convert E to liters per kilometer. We will use the fact that there are 1000 cubic centimeters per liter.
You get: 30 liter - 100/1000 liters/kilometer x 120 kilometers
In conclusion, this is the calculation that will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters:
30-100/1000x120.
Hope this helps!
Please help!!!! I need to pass this class!!
Answer:
x is approximately 69.39 degrees.
Step-by-step explanation:
To find x in this triangle, we can use the sin rule:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex]
The corresponding angle for each length is the one that lies directly opposite it. E.g. if 3.5 was our length 'a', then 55 degrees would be our angle A.
So let's take 3.5 and 55degrees as our length and Angle A, and 4 and x degrees as our length and angle B as we are trying to solve for x.
This would give us the following equation:
[tex]\frac{3.5}{sin(55)} =\frac{4}{sin(x)} \\[/tex]
Since we are solving for an angle, it will be easier to rearrange the equation if we have it as the numerator, so we can flip the fractions to make it easier. It will still be equal as we are looking for the ratio.
[tex]\frac{sin(55)}{3.5} =\frac{sin(x)}{4} \\[/tex]
From here let's isolate the sin(x) by multiplying by 4 and solving the values we have so far:
[tex]\frac{4 sin(55)}{3.5} =sin(x)\\\frac{3.2766}{3.5} =sin(x)\\0.936=sin(x)[/tex]
Now the final step is to use inverse sin to cancel the sin so we just have x:
[tex]sin^{-1} 0.936=x\\x=69.39[/tex]
x is approximately 69.39 degrees.
Hope this helped!
I have three squares and I want to divide them by 3/4 How many pieces would I have
Simplify each expression using the distributive property and combining like terms
7(1 - 4x) + 4x =
6(v - 5) +1 =
- 7(8 + 8x) - 6x =
- 3(6x +9) + 1 =
- 2(-6+ 5k) - 1 =
Answer:
7- 32x
6v - 31
-56 - 62x
-18x - 26
11 - 10k
Am I right?
10. Translate the triangle 4 units right
and 3 units down. What are the
coordinates of the image?
Answer:
J(4,0)
K(4,-2)
L(0,-2)
Step-by-step explanation:
4 units right means x+4. now find the coordinates and add 4 to each coordinate's x.
3 units down means y-3. now find the coordinates and take 3 from each coordinate's y.
if it is unclear or you need more explanation, ask freely.
someone pls answer this I'll give whoever answers brainlist!
Leandros resting heart rate is 14 beats in 15 seconds.
A) heart rate is often expressed in beats per minute (bpm).
write Leandros heart rate in nom
b) how many minutes does it take for Leandros heart to beat 1512 times?
What is the constant proportionality?
Answer:
The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. ... The constant of proportionality does is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Constant of proportionality means slope which can be represented as y=mx+b, y=kx and a ton of other stuff I don't know.
But lets take it as y=kx because it's easier. Constant of proportionality/slope is k so its C, 5.5.
22/30 to its lowest term
Answer:
What is 22/30 Simplified? - 11/15 is the simplified fraction for 22/30
Find measure angle 3
Answer:
∠ 3 = 50°
Step-by-step explanation:
∠ 3 and 50° are corresponding angles and congruent, thus
∠ 3 = 50°
Answer:
90
Step-by-step explanation:
you add 40+ 50 and it out to 90
Calculator
31°
What is the value of x?
Enter your answer as a decimal to the nearest tenth in the box.
22 ft
ft
B
х
Answer:
x=90=9.49
Step-by-step explanation:
compare with yours
Answer:
It's actually 13.2
Step-by-step explanation:
I just took the 7.01 Unit CheckPoint on K12
A store has all board games on sale for 25% off the
regular price. A checker set has a sale price of $12. It is then moved to a clearance table where every item is discounted 40% off its regular price. What is the
clearance price of the checker set?
Answer:
$7.20
Step-by-step explanation:
We'll need to find out 40% of 12 then subtract that amount because we're still paying 60% of the original price.
Change the percent to a decimal: 0.4
Multiply the sale price and the decimal
12 · 0.4 = 4.8
Subtract 40% of the price from 12
12 - 4.8 = 7.2
The clearance price of the checker set is $7.20
Answer:
If both the board games discount and the clearance discount affect the item, this means it is 65% off. 65% of 12 is 7.8, therefore we subtract that amount from 12 and get 4.2, or $4.20.
Elizabeth won a $300 gift certificate at silver gym. A membership costs $15 a month and has a one- time fee of $50. Complete the equation that models the number of months,x, her gift certificate is will pay for a Silver gym.
The correct answer is 15 x + 50 = 300
Explanation:
In an equation, the different values show a specific mathematical relationship, and the equality represented by the symbol (=) is used to find an unknown value. In the case presented, the unknown value is the number of months Elizabeth can pay using her $300 gift certificate. This means the letter x in the equation represents the number of months.
Moreover, this x should be multiplied by the month membership or $15 considering Elizabeth will need to pay this fee each month and this should be added to the one-time fee of $50. This implies the first part of the equation is 15x + 50. Finally, this value should be equal to the total money in the certificate or 300. According to this, the equation is 15x + 50 = 300.
May I get some help on this please?
Answer:
2
Step-by-step explanation:
The answer is the second explanation I think
Answer:
it's the 2nd answer
Step-by-step explanation:
basically I just found the range and it kinda gave me the answer (range is the difference between the highest and lowest number, so 24-9=15)
37+32 divided by 2 X 7
Frank is a professional golfer, so he goes to the golf course to practice every 2 days. Jack just
started playing golf, so he goes to the golf course every 6 days. Ethan just plays for fun and
goes to the golf course every 9 days. If Frank, Jack and Ethan all played together today, how
many days later will they all go to the golf course together again?
Answer:
in 18 days
Step-by-step explanation:
that's she shortest they can do,
2*9
6*3
9*2
What is N + (n+2) when N = 62 and n = 64
What is greater -5.65 or -5.6
I know its easy but i have to finish this buy 10:50am so could anyone help me????
Answer:
I believe the answer should be -5.6.
Tell whether the statement is always, sometimes, or never true.
The LCM of two different prime numbers is their product.
The statement is
true.
Can someone help me ASAP please 15 and 16
During their last workout, Michelle did 81 crunches in 3 minutes and her friend Zack did 104 crunches in 4 minutes. Each person thought they did more crunches per minute. Based on this workout, which person is correct?
A) Both are correct.
B) Zack is correct.
C) Neither are correct.
D) Michelle is correct.
Answer:
D) Michelle is correct.
D) Michelle is correct
81/3=27 104/4=26
Michelle did 27 per min and Zack did 26 per min.
twelve is no more than the sum of -1.5 times a number w and 4
Answer:
w < -5.33333
Step-by-step explanation:
Step 1: Write inequality
12 < -1.5w + 4
Step 2: Solve for w
Subtract 4 on both sides: 8 < -1.5wDivide both sides by -1.5: -5.3333 > wRewrite: w < -5.33333Here we see that any value smaller than -5.3333 will work.
If f(x) = -x^2 +5z and g (x) = 2x-4 find
Answer:
1) x=√−y+5z or x=−√−y+5z
2) g=2x-4/x
Step-by-step explanation:
explanation for first problem:
Let's solve for x.
y=−x^2+5z
Step 1: Flip the equation.
−x^2+5z=y
Step 2: Add -5z to both sides.
−x^2+5z+−5z=y+−5z
−x^2=y−5z
Step 3: Divide both sides by -1.
−x^2
−1
=
y−5z
−1
x2=−y+5z
Step 4: Take square root.
x=√−y+5z or x=−√−y+5z
explanation for problem 2:
Let's solve for g.
gx=2x−4
Step 1: Divide both sides by x.
gx/x = 2x-4/x
g=2x-4/x
Please help me it would mean a lot.
Answer:
measure of angle ROQ is 41.5º
Step-by-step explanation:
That little curved line inside the angle POR and angle ROQ means they are congruent, or have congruent angles. So, we have two of the same angles, which we can represent with the same variable: x.
114-31= 83
83=2x
83/2 = 41.5
x=41.5
Slope of (-15,-10) (9,8)
The perimeter of a triangle is 42 meters. Side (a) is two less than side (b) and side (c) is triple side (b). What are the lengths of the three sides?
The length of three sides of triangle is,
[tex]a=6.8m\\\\b=8.8m\\\\c=26.4m[/tex]
Perimeter of triangle :Perimeter is the sum of all three sides of triangle.
Let us consider that side b of triangle is x.
Given that, Side (a) is two less than side (b) and side (c) is triple side (b).
So that, sides of triangle are,
[tex]a=x-2\\\\b=x\\\\c=3x[/tex]
Perimeter of triangle are,
[tex]x-2+x+3x=42\\\\5x=44\\\\x=44/5=8.8[/tex]
Side [tex]a=8.8-2=6.8m,b=x=8.8m,c=3x=3*8.8=26.4m[/tex]
Learn more about the perimeter here:
https://brainly.com/question/19819849
y= -2x +9 what does x equal ?
Answe Step-by-step explanation:
46579765+4879+889 78+6565
T^12 x T^10= T to the power of what
t²²
Step-by-step explanation:Hi there !
t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²
Good luck !
OK i dont know what time it is for you so its 5:40 am but here another question.
I have $40.50
If i went to a store and got 3 boxes of popcorn ( $15.99)and 3 milk jugs ($12.99).Then get a pack of gum ( $1.99).Plus tax ( $4.99) add to everything.Hint plus all money then add $4.99 three times.
Answer:
Question wasn't specific enough but I believe the cost=$93.92
Step-by-step explanation:
15.99*3=47.97
12.99*3=38.97
plus 1.99 and 4.99, add them all together
47.97+38.97+1.99+4.99=93.92
Find the value of x. Then find the angle measures of the polygon.
Please help me as soon as possible, it would be great if you gave me an explanation!
For number 20:
Because a triangle is 180 degrees, we will equal all the angles we know to that. So, this is how we will write our equation:
Solve for x:
60 + x + 20 + 3x = 180
4x = 100
x = 20
Using 75, you can find the angle measure by plugging 75 where x is present in the angle measures. For example:
x = 20,
20 + 20 = 40
3(20) = 60
-
For number 21:
The shape shown is basically two triangles, so 180 x 2 is 360. Again, same procedure. Add all known angle measures and make an equation where they all equal 360.
Solve for x:
x-5+x+35+1.4x+x=360
x = 75
By isolating x, you should get an answer of 75. Now, plug that into each of the equations:
x = 75
75 + 35 = 110
75 - 5 = 70
1.4(75) = 105