Answer:
Step-by-step explanation:
⅔(x-6) = ¾(x+16)
Multiply both sides by 12
8(x-6) = 9(x+16)
8x - 48 = 9x + 144
x = -192
9. To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon. How much does Sam spend on fuel? Round to the hundredths place.
Answer:
$65.52
Step-by-step explanation:
y = mx + b
y = amount spent on fuel = ?
m = price per gallon = $3.90
x = gallons = 16.8
b is not needed for this problem
y = (3.90)(16.8)
y = $65.52
The amount of money that Sam spends on fuel will be $65.52.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon.
The amount of money that Sam spends on fuel will be given by the multiplication of the numbers 16.8 and 3.9.
⇒ $3.90 x 16.8
⇒ $65.52
The amount of money that Sam spends on fuel will be $65.52.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
The point M is the midpoint of LN where M(-12, 6) and N (-2,-5).
What are the coordinates of point L?
Answer:
The coordinates of point L are:
(x₁, y₁) = (-22, 17)
Step-by-step explanation:
We know that the Midpoint Formula is given by:
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
In our case:
M(-12, 6) is the midpoint. Thus,
(x, y) = (-12, 6)
N(-2, -5) is the second point, Thus,
(x₂, y₂) = (-2,-5)
We have to determine the coordinates of point L.
Let (x₁, y₁) be the coordinates of point L.
substituting (x, y) = (-12, 6), (x₂, y₂) = (-2,-5) in the Midpoint Formula
[tex]\left(-12,\:6\right)=\left(\frac{-2+x_1}{2},\:\:\frac{-5+y_1}{2}\right)[/tex]
Determining the x₁ coordinate of the point L
[tex]\frac{-2+x_1}{2}=-12[/tex]
[tex]-2+x_1=-24[/tex]
Add 2 to both sides
[tex]-2+x_1+2=-24+2[/tex]
Simplify
[tex]x_1=-22[/tex]
Determining the y₁ coordinate of the point L
[tex]\frac{-5+y_1}{2}=6[/tex]
[tex]-5+y_1=12[/tex]
Add 5 to both sides
[tex]-5+y_1+5=12+5[/tex]
Simplify
[tex]y_1=17\:\:\:[/tex]
Therefore, the coordinates of point L are:
(x₁, y₁) = (-22, 17)
Answer:
the person up top is correct
Which equation represents : the difference between mZCOA and mAOB in this diagram?
43°
O
Select ALL that apply
180 43
137 13
18043
180 43
Previous
100 points and brainly please help find vertical and horizontal asymptotes (must show work)
f(x) = 2x2+4/x^2 +5x+6
Answer:
It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.
x2−5x+6x2−2x−3x−6(x−2)(x−3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)
Division by zero is undefined, so x≠-2 and x≠-3.
Vertical asymptotes: x=-2, and x=-3
As x approaches ∞, f(x) approaches 2.
As x approaches -∞, f(x) approaches 2.
Horizontal asymptote: y=2
At the end of a 10-year loan, $13,570 had been paid in interest. If the initial loan amount was $23,000, find the interest rate
Answer:
5.9%
Step-by-step explanation:
Given the functions =−12 (2)x+3. Select all statements that are true.
The ratio of the three angles of a triangle is
9:13:3. What is the measure of the MIDDLE angle?
Answer:
64.8°
Step-by-step explanation:
in the given ratio 9:13:3 the required middle angle is presented as 9;
1) if the sum of the angles of triangle is 180, then the given ratio can be re-written as
9x+13x+3x=180, ⇒ x=36/5;
2) if x=36/5, then the required measure of the middle angle can be calculated:
m(∠MIDDLE)=9*36/5=64.8°.
Help me pleaseeeeeeeeeeeeee
A fair coin is flipped 10 times and lands on heads 8 times. Why is there a difference between the experimental and theoretical probabilities of observing 8 heads in 10 coin flips?
A.
Since the number of heads in the 10 coin flips is 8, the theoretical probability of observing a head in a coin flip increases from 0.5 to 0.8.
B.
Since 10 is a large enough number of trials, there is probably some error in the recording of the coin flip outcomes.
C.
The theoretical probability has no basis in reality, so the new probability of flipping heads is now 0.8.
D.
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Answer:
Step-by-step explanation:
If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. sorry if this isn't right have a nice day.
Answer:
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Step-by-step explanation:
I had the same on my test and got it correct, "trust me man"
for the salad bar Jenning must divide 8 bags of lettuce equally among 3 serving bowls how many bags of lettuce would be in each serving Bowl if they were divided equally?
A. 3/8
B. 3/7
C. 2 1/3
D. 2 2/3
Answer:
[tex]Unit = 2\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]Bags = 8[/tex]
[tex]Bowls = 3[/tex]
Required
Determine the amount in each bowl
This implies that we calculate the unit measurement. This is calculated using:
[tex]Unit = \frac{Bags}{Bowls}[/tex]
[tex]Unit = \frac{8}{3}[/tex]
[tex]Unit = 2\frac{2}{3}[/tex]
13
Owen and Tony are helping pick apples on their aunt's farm. Owen has picked 127 apples and Tony has picked 261 apples.
Choose the equation that can be used to find how many more apples Tony picked than Owen.
OA. ? - 261 = 127
OB. 261-127 = ?
OC. 127 - 261 = ?
OD. ?-127 = 261
Reset
Submit
Answer:
The answer is B
When the piggy bank was opened, it yielded $4.75 in nickels and pennies. If there were 175 coins in all, how many were nickels and how many were pennies?
Answer:p + n = 175
1p + 5n = 475
------------------ Subtract
Step-by-step explanation:
when the piggy bank was opened, it yielded $4.75 in nickels and pennies. If there were 175 coins in all, how many were nickels and how many were pennies?
If the radius of a clock face is 4.5 inches, what is the diameter? *
Answer:
9
Step-by-step explanation:
1/4 divided by 3 1/2
Answer:
1/14
Step-by-step explanation:
dont really know how to explain... just make sure to change both to a common denominator
Answer:
1/14
Step-by-step explanation:
A map has a scale of 2 in : 6 mi. If Clayton and Centerville are 10 in apart on the map, what is the actual distance between the two cities?
Do this 2/6 times 10 that will give you 20/6 if you need to simplify then it is 10/3 hope that helps
Step-by-step explanation:
Find 142.1% of 469.6. Round to the nearest thousandth.
Answer:
667.302???
Step-by-step explanation:
I tried my best but I don't know if it's right though
What ordered pair would be located 2 units up on the y-axis?
Write answer (x,y);
10
9
8
2
0
5
7 8 9 10
n electric vehicle has a battery pack that is made up of 10 individual cells. With a 95% probability, we know that any given cell will last at for least 10,000 charge-discharge cycles. Assuming that the failure of any given cell in the battery pack does not depend, in any way, on the performance of any other cell in the battery pack, what is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Answer:
0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Step-by-step explanation:
For each cell, there are only two possible outcomes. Either it will least for at least 10,000 charge-discharge cycles, or it will not. Cells are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 individual cells.
This means that [tex]n = 10[/tex]
95% probability
This means that [tex]p = 0.95[/tex]
What is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
This is P(X = 10).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]
0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
"Seven eights of a number is 63" equation and solve
Answer:
x = 72
Step-by-step explanation:
7/8 * x = 63
x = 63 / (7/8)
x = 72
Pls hurry and help!!!!3x-2y=4
6x-2y =-2 solve the equations by using elimination show work
I hope my steps are clear to uh
Answer:
x=−2 and y=−5
Step-by-step explanation:
Solve3x−2y=4for x:
3x−2y=4
3x−2y+2y=4+2y(Add 2y to both sides)
3x=2y+4
3x /3 = 2y+4 /3 (Divide both sides by 3)
x= 2 /3 y+ 4 /3
Substitute 2 /3 y+ 4 /3 for x in6x−2y=−2:
6x−2y=−2
6( 2 /3 y+ 4 /3 )−2y=−2
2y+8=−2(Simplify both sides of the equation)
2y+8+−8=−2+−8(Add -8 to both sides)
2y=−10
2y /2 = −10 /2 (Divide both sides by 2)
y=−5
Substitute−5 for y in x=
2 /3 y+ 4 /3 :
x= 2 /3 y+ 4 /3
x= 2 /3 (−5)+ 4 /3
x=−2(Simplify both sides of the equation)
Arithmetic question: You need to serve 58 people, 2 slices of pizza each. (Each pizza will be cut into 12 slices each.) (1) How many pieces of pizza do you need altogether? Identify the original improper fraction (or its reduced form) needed to solve this problem. Calculate the solution to give a mixed number answer? (2) How many pizzas do you need to order and how many extra slices will you have? Show any work needed to answer questions.
Answer:
5 order pizza
Step-by-step explanation:
12+12+12+12+12=60 I have 2 extra pizza
D = r t: A train travels 300 miles on level ground in the same amount of time it travels 120 miles in the mountains. The rate of the train in the mountains is 30 mph. Find the rate of the train on level ground and in the mountains.
Answer:
The rate of the train on level ground is 75 mph, and the rate of the train in the mountains is 30 mph like you mentioned. If you were asking for the time it takes for the train to travel 120 miles in that speed in the mountain, then it would be 4 hours.
(-13) + (-14)+6
explain
Answer:
21
Step-by-step explanation:
-13)+(-14)= -27
-27+6= -21
Please help me with this 30 points
Answer:
D
Step-by-step explanation:
For every 1 unit, it goes vertically 1/2
What is the value of
2021
−
2223
+
2425
2021
−
2223
+
2425
?
Answer:
the answer is 2223 please mark as brainliest
Answer:
2223
Step-by-step explanation:
its a simple math issue
what's the radius plz help me
Answer:
i need help to plz its 75932389 i need help its wrong
Step-by-step explanation:
A company claims that their new bottle holds 40% more laundry soap.
If their original container held 53 fluid ounces of soap, how much does the new container hold?
Answer:
The bottle will hold 74.2 floz
Step-by-step explanation:
53 x .4 = 21.2
21.2 + 53 = 74.2
Kevin made 4 of his 6 shots on goal at soccer practice.
If he continues to shoot in the same manner throughout the
practice, how many shots would he make out of 72?
Answer:
48
Step-by-step explanation:
4/6 = 2/3
2/3 times 72 = 48
.................................................
Answer:
(7,-4)
Step-by-step explanation:
3+2=5. 5+2=7
6-5=1 1-5=-4
(7,-4)
Ex astea 2 plzzzzzzzz