Answer:
$16
Step-by-step explanation:
[tex]0.75x = 12\\3x = 48\\x = 16[/tex]
least common denominator of 2/5 and 3/10
1. Aubrey is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 6 hours? How much gas would be left after tt hours?
2. Find the sum of -8x^2+3 and -9x^2+3x-3−
3.Simplify the expression to a polynomial in standard form:
(-3x-5)(-x^2+x-5)
Answer:
See solutions below
Step-by-step explanation:
1) Total amount of gallons = 14 gallons
If she uses up 0.75 gallons of gas each hour then;
1 hour = 0.75gallons
after driving 6 hours, amount of gallons used will be;
6 hours = x
Divide both expressions
1/6 = 0.75/x
x = 6 * 0.75
x = 4.5gallons
Amount of gas left = 14 - 4.5 = 9.5 gallons of gas
Hence 9.5 gallons of gas will be left after 6 hrs
Similarly;
1 hour = 0.75gallons
after driving t hours, amount of gallons used will be;
t hours = x
x = 0.75t
Amount of gas left after t hours = (14 - 0.75t) gallons of gas
2) We are to find the sum of -8x^2+3 and -9x^2+3x-3
-8x^2+3 + (-9x^2+3x-3)
= 8x^2+3 -9x^2+3x-3
Collect like terms
= 8x^2 -9x^2+3x + 3-3
= -x^2 + 3x
Hence the sum is -x²+3x
3) Expressing in standard form;
(-3x-5)(-x^2+x-5)
Expand
= 3x³-3x²+15x+5x²-5x+25
Collect like terms
= 3x³-3x²+5x²+15x-5x+25
= 3x³+2x² + 10x + 25
Hence the product in polynomial form is 3x³+2x² + 10x + 25
The division property of equality could be used to solve which of the following equation
A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me
Answer:
A
Step-by-step explanation:
5x = 30
divide both sides by 5:
x = 6
Nerissa has 5 pink bows 1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow
A. 1/2
B. 2/5
C. 1/10
D. 3/5
I’ll mark brainliest
Answer: The probability is 2/5.
Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.
The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].
Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.
She will randomly choose 1 box from the box.
What is Probability?
The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Now,
Total number of bows = 5 + 1 + 4 =10
Number of purple bow = 4
Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]
= [tex]\frac{4}{10}[/tex]
=[tex]\frac{2}{5}[/tex]
So, probability to choose purple bow is 2/5.
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f(x) = 4+9x, find f(-3)
Answer:
R3EWS.
Step-by-step explanation:
Find the area of the following shape:
Answer:
63 in^2
Step-by-step explanation:
Area = base x height
Base: 7
Height: 9
9 x 7 = 63
Answer:
63 inches squared or [tex]63in^{2}[/tex]
Step-by-step explanation:
The answer is 63 inches squared.
The area of a parallelogram is always base times height.
In this case, the base is seven and the height is nine.
To find the area, we must multiply nine by seven
We get 63
But, we are multiplying inches and inches together
When we multiply something by itself, it becomes squared
Since we are multiplying inches by inches, it becomes inches squared
Therefore, the area of the shape is 63 inches squared, or
[tex]63in^2[/tex]
Which is bigger 57.8% or 0.578 ?
Answer:
They are the same
Step-by-step explanation:
When you convert 0.578 into a percentage you get 57.8%
When you convert 57.8% into a decimal you get 0.578
Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely. Stock A decreased by m cents per share and Stock B increased by n cents per share. Which equation can be used to find the total change in value of Jabari's shares per month
Answer:
what hcomp10 said he is right
Step-by-step explanation:
Answer:
(100-m)+(45+n)
Step-by-step explanation:
100 -n and 45-m. You would have to add them together to get the amount of the shares.
40 pointssssss!!!!!!!
Answer: A.
Step-by-step explanation: It's 20 pionts bro.
I NEED HELP PLEASE PLEASE HELP ME I WILL THANK YOU A LOT
Answer:
$8.50
Step-by-step explanation:
First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.
PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)
Answer:
x = 13, z = 184
Step-by-step explanation:
(14x-94) = 88
14x = 182
x = 13
z = 360 - 88*2 = 360 - 176 = 184
Answer:
x = 13; z = 92
Step-by-step explanation:
88 = 14x - 94
14x = 182
x = 13
180 = z + 88
z = 92
there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?
Answer:
3/8
Step-by-step explanation:
Your need to change the 1/4 to eighths
so multiply it by 2
1/4 x 2/2
which equals 2/8
then you need to subtract it from the 5/8
5/8 - 2/8 = 3/8
How to solve (
7•6-4^2)+4
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
(7*6 - 4^2)+4 = (42 - 16) + 4 = 26 + 4 = 30
Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11
HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G
Answer:
M₁=Fr²/GM₂
Step-by-step explanation:
The original formula is
F = GM₁M₂/r²
Rearrange it so M₁ is isolated:
Fr²=GM₁M₂
M₁=Fr²/GM₂
List two examples of words/phrases that describe the mathematical operation of multiplication.
Answer:
Multiplied, Group Addition
Step-by-step explanation:
Again, all I know of.
nature of roots the determining 2x²-13x+15=0
Answer:
Step-by-step explanation:
discriminant = (-13)² - 4·2·15 = 49
discriminant > 0 so there are two real roots
Solve the problem
There were 36,000 people at a ball game in Los Angeles. The day's receipts were $304,000. How many people paid $14 for reserved seats and how many paid $6 for general
admission?
Answer:
paid $14 for reserved seats and
paid $6 for general admission
Answer:
11,000 paid $14 for reserved seats.
25,000 paid $6 for general admission.
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of people that pay $14
y= number of people that pay $6
14*x + 6*y= $304,000
x + y= 36,000
Now, we isolate x in one equation and substitute it in the other one:
x= 36,000 - y
14*(36,000 - y) + 6y = 304,000
504,000 - 8y = 304,000
200,000 = 8y
25,000 = y
x= 36,000 - 25,000
x= 11,000
11,000 paid $14 for reserved seats.
25,000 paid $6 for general admission.
Help me out! Answer? Anyone??
Answer: C and D.
Step-by-step explanation: The pictures show the work. So sorry about the delay -- my computer wasn't letting me type formulas, so I hand-wrote. If you have questions, let me know and I'd be happy to clarify, and if the pictures are sideways, use the rotate button at the top right.
The seller of a watch marked up the price by 30%, and the new price is $468.00. What was the watch’s original price before the markup?
Answer: I THINK SO 608.4
HOPE THIS HELPS
You are applying for graduate school at University A. In the past 42% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 40% of the students who were not accepted had GMAT scores in excess of 550. You take the GMAT exam and score 640. What is the probability that you will be accepted into the graduate school of university A
Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3
42 % of what number is .21
Answer:
0.5
Step-by-step explanation:
0.21=42%
0.21/42=1%
0.005=1%
0.005 x 100 = 100%
0.5=100%
0.5
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.
Answer:
Step-by-step explanation:
You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.
70%of it is 14 min find the valy ofx
Note:
Your questions sound a little unclear.
But, I am assuming your questions as:
''70% of x is 14 min. Find the value of x''.
So, I will solve assuming this statement which anyways would clear your concept.
Answer:
The value of x = 20.
Step-by-step explanation:
Given
''70% of x is 14 min. Find the value of x''.
Thus,
70% of x = 14
70/100 × x = 14
0.7x = 14
divide both sides by 0.7
0.7x/0.7 = 14/0.7
x = 20
Therefore, we conclude that the value of x = 20.
On Monday, a local hamburger shop sold a combined total of 276 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?
Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +
Answer:
h² - 10h + 25
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event
Answer:
Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability
Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability
Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability
Step-by-step explanation:
The probability of the given events is:
[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]According to the question,
Number of outcomes = 8
Event A:
Having the alternative even and odd numbers.
→ [tex](EOE, OEO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event B:
No even number and last two rolls.
→ [tex](EOO,OOO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event C:
Exactly on odd number:
→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]
Thus the above approach is correct.
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There were five winning lottery tickets for a total jackpot of 40,000. 3 of the winners won twice as much as the other two. how much did each of the two that won the least get?
There are five prizes available on the 1000 lottery tickets that were sold, assuming Saket purchased one. Only 0.005% of participants will win something.
What does the term probability mean?Probability measures how likely an event is to occur. It's difficult to know everything that will happen in advance. We can only forecast how likely an event is to occur using it, or how likely it is to occur.The likelihood of an event occurring is determined by probability: P(A) = f / N. Probability and odds are related, but probability is necessary for odds to exist. Probability is required before calculating the likelihood of an event. Classical, empirical, subjective, and axiomatic viewpoints are the four most popular approaches to probability.Here is an easy use of probability in daily life that you probably already utilize. Before we organize a significant outing, we always consult the weather prediction. The forecaster will occasionally say that there is a 60% chance of rain.Given,
Total number of outcomes =1000
Favorable outcomes =5
Simplify, 5 ÷ 1000
Then we get,
∴ Required probability = 0.005.
The complete question is:
1000 tickets of a lottery were sold and there are 5 prizes on these tickets, if Saket has purchased one lottery ticket. What is the probability of wining a prize ?
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Look at the picture
9514 1404 393
Answer:
A
Step-by-step explanation:
When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."
If angles are on opposite sides of the transversal, they are exterior.
If angles are in the same direction from the intersection point, they are corresponding.
Angles in opposite directions from the point of intersection are vertical angles.
same-side interior: {3, 5} and {4, 6}. (supplementary)
same-side exterior: {1, 7} and {2, 8}. (supplementary)
alternate interior: {3, 6} and {4, 5}. (congruent)
alternate exterior: {1, 8} and {2, 7}. (congruent)
corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)
vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)
Angles 6 and 4 are same-side interior angles; their sum is 180°.
