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
Solve this please I don’t get it
Answer:
=20 becuase you Multiply all terms by the same value to eliminate fraction denominators
Answer:
p = 20
Step-by-step explanation:
In order to solve for "p", you need to isolate p completely on one side of the equal sign. to do such, simply multiply by "4" both sides ofthe equation, to cancel out the 4 in the denominator and get:
p = 5 * 4 = 20
Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3
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°.
40 pointssssss!!!!!!!
Answer: A.
Step-by-step explanation: It's 20 pionts bro.
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
Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes,and a watermelon that weighed 6.78 pounds.
What is the total weight, in pounds, of the fruit that Shawn bought last week?
Answer:
not sure but i think it should be 10.54
2. Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, is the first term, n is the term number and d is the common
difference
A(n) = 2 - 1 + (n - 1)d
A(n) = a + (n - 1)d
A(n) = a + (n)(d - 1)
O A(n) = a + (n + 1)d
Answer:
A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.
Step-by-step explanation:
The difference between the high and low temperatures one day was 26°F. The low was 64°F. find
the high temperature.
A. 38
B. 2
C. 90
D. 1664
Answer:
90 degrees F
Step-by-step explanation:
if the distance from the temperatures is 26 degrees and the low point is 64, just add up 26 and 64 and you will get 90 degrees F.
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
Let LaTeX: x = \text{-}\frac {11} 8x = - 11 8 and LaTeX: y = \text{-}\frac {11} 4y = - 11 4.
Which expression has a negative value?
Group of answer choices
LaTeX: x + yx + y
LaTeX: x - yx − y
LaTeX: x \cdot yx ⋅ y
LaTeX: \frac x y
Answer:
This makes no sense
Step-by-step explanation:
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
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
Can anyone help me pls
Answer: likely
Step-by-step explanation:
What object would be capacity that is best measured in pints
Answer:
The capacity of a carton of ice cream is often measured in pints. A unit equal to 32 fluid ounces, or 4 cups. You often see quarts of milk being sold in the supermarket.
Answer:
Step-by-step explanation:
Pints measure the volume of a fluid. A pint = 16 fluid ounces, while a quart is 2 pints or 32 fluid ounces. Objects holding 16 to 32 fluid ounces are measured in pints.
you need the previous answer to tell how to do the answer. "1232". Now that that's over with, onto the question.
The baker’s recipe for a loaf of bread calls for 12 ounces of flour. If he uses all of his flour to make loaves of bread, how many full loaves can he bake in two weeks?
Answer:
Step-by-step explanation:
1232 oz flour × (1 loaf)/(12 oz flour) = 102 loaves remainder 8 oz flour
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.
I need help with this geometry question
Answer:
x=9; JL= 23
Step-by-step explanation:
To find x:
If JL and KM are equivalent, then JL = KM. Substitute the equations and you get 2x+5 = 7x-40.
Put the similar terms on the same side by subtracting 2x from both sides and adding 40 to both sides. You will get 45=5x.
Get x alone by dividing both sides by 5 and you will get 9=x.
To find JL:
Substitute the x in 2x+5 (JL length equation) with 9. Your new equation will be 2(9) + 5.
2•9 = 18.
18+5=23
When completely factored, 8x + 2y - 4
Answer:...
-4+8x+2xy
Step-by-step explanation:
what is 4000×1mil I'm stuck on it
according to goo.gle:
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
THIS IS URGENT IT IS DUE TODAY I NEED IT FAST, I ONLY NEED THE STEPS NOT THE ANSWER SO PLEASE SOMEONE HELP ME IT WOULD BE MUCH APPRIECIATED.
Please help this is due in 31 minutes
Answer:
X=45
Step-by-step explanation:
You see the congruency markings use B.A.T to determine that the unmarked angle is x, therefore 4x=180 and x=45
2) Add 1/3n + 2/3 and -1/6n + 1/6m
Answer:
m/6+ n/3 +1/2
Step-by-step explanation:
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.
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
Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame. Enter the number of photo frames that can be decorated using 4/5 meter of ribbon?
It’s 4 pieces of ribbon :)
The number of 4 of photo frames that can be decorated using 4/5 meter of ribbon.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame.
And Jamie has 4/5 meter of ribbon.
To find the number of photo frames that can be decorated using 4/5 meter of ribbon:
So, using division operation,
the number of photo frames,
= 4/5 ÷ 1/5
= 4 x 5/5
= 4
Therefore, Jamie can make 4 photo frames from the given ribbon.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
Which two expressions are equivalent
Answer:
A
Step-by-step explanation:
A) the only answer in which the distributive property is used correctly.
Neeed helpp on this question
Answer:
y=4x-9
Step-by-step explanation:
slope is rise/run
choose one point and do rise/run until you get to the next point
from the graph you can see the y-intercept is -9
Answer:
y=2x+-9
Step-by-step explanation:
this is the answer
if ther are 36 eggs in 4 cakes, what should we divide by?