Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When he filled the tank, he recorded the mileage as 24,033 miles. It cost him $83.38 to fill his completely empty gas tank. Then If gas cost $3.79 per gallon, how many gallons of gas can his tank hold? Then When he got to their destination there was exactly ¼ that amount of gas left in the tank. The new mileage on the truck was 24,297 miles. Determine the gas mileage, in miles per gallon, for the trip. How many gallons were used? How many miles were driven? How many miles per gallon did his truck get?
Step-by-step explanation:
Given data
initial mileage=24,033 miles.
cost to fill tank=$83.38
cost per gallon= $3.79
1. capacity of tank=83.38/3.79=22 gallons
remianing gas= 1/4*22= 5.5gal
gas used= 22-5.5= 16.5gal
new mileage= 24,297 miles.
mile covered= 24,297 miles.-24,033 miles.
=264miles
miles per gallon is =264/16.5
=16miles per gallon
Which term is coefficient of 1?
Answer:
the first one.
Answer:
k^7
Step-by-step explanation:
As there is nothing in front of it that means the coefficient is 1
:)
easy?
21st term: 3, 8, 13, 18 ?
Answer: 108
Step-by-step explanation:
Solve the proportion v/84 =2/21
Answer:
there is no solution for this equation, Hope this helps! x <3
Step-by-step explanation:
v/84=2/21
We move all terms to the left:
v/84-(2/21)=0
We add all the numbers together, and all the variables
v/84-(+2/21)=0
We get rid of parentheses
v/84-2/21=0
We calculate fractions
There is no solution for this equation
Tisha paid $10.50 for 6 liters of her favorite soda. To the nearest cent, how much did 3 liters of her
favorite soda cost?
Answer:
$5.25
Step-by-step explanation:
Step 1:
10.50 / 6 = x / 3 Equation
Step 2:
6x = 31.5 Multiply
Step 3:
x = 31.5 ÷ 6 Divide
Answer:
x = 5.25
Hope This Helps :)
HELP PLEASE!!!
1. what's x if
18=6x
2. How do I change my username here on brainly?
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Simply divide both sides of the equation by 6 and it'll be the answer.
Which equation should you use to solve for x?
40°
60°
16x
O 60 + 16x + 40 = 180
O 60 + 40 = 16x
0 60 + 16x = 40
O 60 + 16x + 40 = 90
Answer:
1st Option
Step-by-step explanation:
All angles in a triangle must add up to 180°.
Step 1: Set up equation
40° + 60° + 16x = 180°
Step 2: Rewrite
60° + 16x + 40° = 180°
Answer:
Option: A.
Step-by-step explanation:
Hey there!
In the given triangle;
60° +16x° + 40° = 180° { Sum of interior angle of a triangle}
100° + 16x= 180°
16x = 180° - 100°
[tex]x = \frac{80}{16} [/tex]
Therefore, X= 5°.
So, Option A (equation) is used for solving the value of"X".
Hope it helps...
1. David uses 1 tbsp of sugar for every 1.25 cups of water when he makes lemonade complete the table below by filling in the missing values
Answer:
Step-by-step explanation:
David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.
Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)
⇒ S ∝ w
⇒ S = kw
⇒ k = [tex]\frac{S}{w}[/tex]
⇒ k = [tex]\frac{1}{1.25}[/tex] = 0.8
So the formula to calculate the amount of water will be,
S = 0.8w
⇒ w = [tex]\frac{S}{0.8}[/tex]
where k = proportionality constant
Now we can complete the table with the help of the formula.
Sugar (tbsp) Water (cups)
1 1.25
7 8.75
3 3.75
5 6.25
c^4 divided by c^3
Please help
Answer:
Answer is C
Step-by-step explanation:
i.e (c x c x c x c) / (c x c x c) = c^1 = c
→[tex] {c}^{4} \div {c}^{3} [/tex]
Step 2:→[tex] \dfrac{ {c}^{4} }{ {c}^{3} } [/tex]
Step 3:→[tex] {c}^{4 - 3} [/tex]
Step 4:→[tex] {c}^{1} [/tex](c¹ and c is same thing)
________________________________
with regards!
★Dull Star★
If f(x)=ax²+bx+c and f(1)=6,f(2)=11,f(3)=18 find the value of a,b,c
f(x) = ax² + bx + c
f(1) = 6
f(2) = 11
f(3) = 18
Find:value of a,b,c
Solution:Substitute x = 1 , 2 , 3 in the given polynomial.
★ f(1) = a(1)² + b(1) + c
⟹ 6 = a + b + c -- equation (1)
Similarly,
★ f(2) = a(2)² + b(2) + c
⟹ 11 = 4a + 2b + c -- equation (2)
★ f(3) = a(3)² + b(3) + c
⟹ 18 = 9a + 3b + c -- equation (3)
Subtract equation (1) from (2).
⟹ 4a + 2b + c - (a + b + c) = 11 - 6
⟹ 4a + 2b + c - a - b - c = 5
⟹ 3a + b = 5 -- equation (4).
From equation (3) ,
⟹ 18 - c = 9a + 3b
⟹ 18 - c = 3(3a + b)
Substitute the value of 3a + b from equation (4).
⟹ 18 - c = 3 * 5
⟹ 18 - 15 = c
⟹ 3 = c
substitute the value of c in equation (1).
⟹ 6 = a + b + 3
⟹ 6 - 3 = a + b
⟹ 3 = a + b -- equation (5)
Subtract equation (5) from equation (4).
⟹ 3a + b - (a + b) = 5 - 3
⟹ 3a + b - a - b = 2
⟹ 2a = 2
⟹ a = 1
Substitute a value in equation (5).
⟹ 1 + b = 3
⟹ b = 3 - 1
⟹ b = 2
Therefore,
a = 1
b = 2
c = 3.
I hope it will help you.
Regards.
Emily decides that 3 pizzas will feed 10 people. How many pizzas will feed 150 people?
Answer:
45 pizzas
Step-by-step explanation:
She has to feed a crowd fifteen times bigger
Miguel completed the division problem below. What is Miguel's error? 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145. He included a 5 in the quotient, which does not belong. He multiplied the divisor by 10 and the dividend by 100. He subtracted 208 from 234 incorrectly. He multiplied the divisor by 100 and the dividend by 10.
Answer:
He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
Given that
Divisor = 0.52
And, the dividend is 754
It can be written as
Divisor is 52 i.e. (0.52 × 100)
And, the dividend is 7540 i.e. (754 × 10)
Now if we multiplied by 100 and divide by 10 so it gives the same result
Therefore the last option is correct and the same is to be considered
And all the other options are wrong
Answer:
D He multiplied the divisor by 100 and the dividend by 10
Step-by-step explanation:
Hope this helps:)
Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica
Answer:
Step-by-step explanation:i need points sorry
The perimeter of a rectangle is 72 inches. The ratio of the width to the length is 4:5. What is the width of the rectangle?
9514 1404 393
Answer:
16 inches
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 36 inches.
The width is 4/(4+5) = 4/9 of the total of length and width, so is ...
(4/9)(36 inches) = 16 inches
The width of the rectangle is 16 inches.
Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...
Answer:
djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont
How many real solutions are in the equation 8-4x=0
the floor of a room is in the shape of a square of side 4.8m. the floor is to be covered with square tiles of perimeter 1.2m. Find the cost of covering the floor if each tile costs rupees 27
Answer:
the room square side is 4.8m
Area of the room is= 4.8=²23.04²m
perimeter of square tiles=4a =1.2
a=1.2/4
or a=o.3m
area of the square tiles =0.3²=0.09m²
numbers of the tiles are rcover floor of the room
23.0.4/0.09=256
each tiles cost Rs 27
the total cost=256*27=6912
the th coalst cover by the th floor is Rs .6912
At 7:00 P.M. the temperature was 0°F By midnight, it had dropped 15 degrees. What was the temperature at mid- night?
Answer:
The temparature was -15 degrees f.
Step-by-step explanation:
Brad sells each cup of lemonade for $0.50 he wrote.
Answer:
What are we supposed to solve??? its incomplete
Step-by-step explanation:
F = 9/5C + 32 solve for C
i'm not sure but this is what i got
c=9/5(f−32)
Does this graph show a function?
Answer:
Yes it is a function.
Step-by-step explanation:
B is my answer.
What is the value of the expression x  exponent 2 when x = 4/5
Multiply. Enter the product in simplest form.
9/68 x 17/6
Answer:
3/8
Step-by-step explanation:
Multiply, then divide.
ayo if you answer youll get brainliest
Solve the following Linear Equation.
3a + 2 (2a - 1) = 33
show work pls
Answer:
[tex] \huge{ \boxed{ \tt{a = 5}}}[/tex]
Step-by-step explanation:
[tex] \text{3a + 2(2a - 1) = 33}[/tex]
Distribute 2 through the parentheses
↦[tex] \text{3a + 4a - 2 = 33}[/tex]
Add the terms : 3a and 4a
↦ [tex] \text{7a - 2 = 33}[/tex]
Move 2 to right hand side and change it's sign
↦ [tex] \text{7a = 33 + 2}[/tex]
Add the numbers : 33 and 2
↦ [tex] \text{7a = 35}[/tex]
Divide both sides by 7
↦[tex] \text{7a\: / \: 7 \: = 35 \: / \: 7}[/tex]
↦ [tex] \text{a = 5}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
[tex]
\tt{\huge{ {a = 5}}}
[/tex]
Step-by-step explanation:
[tex]3a + 2(2a - 1) = 33 \\
Distribute \: 2 \: through \: the \: parentheses \: \\ 3a + 4a - 2 = 33 \\ 7a - 2 = 33
\\ 7a = 33 + 2\\ 7a = 35 \\
a = 5.\\ ♨Rage♨
[/tex]
In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORRIW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS
Answer:
Step-by-step explanation:
In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON
GIVEN
KO = 4y+6
ON = 3y+11
Equate
4y+6 = 3y+11
Collect like terms
4y-3y = 11-6
y = 5
KO = 4(5)+6
KO = 20+6
KO = 26
Note that KO = OM = LO = ON = 26
Hence ON = 26
For diagonal KM,
KO+OM = KM
KM = 26+26
KM = 52
LN = LO+ON
LN = 26+26
LN = 52
From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°
<KON = 180-(32+32)
<KON = 180-64
<KON = 116°
<ONM = 90-32
<ONM = 58°
∆ONM is also an isosceles triangle,
<ONM = <OMN = 58°
Hence <KMN = 58°
The sales tax on a $12,000 car is 4%. How much money do you spend on taxes to buy the car?
Answer:
With just sales taxes its $480 in taxes
Step-by-step explanation:
$12,000 x .04 = 480
(71 +29) x 26
HAKSJA HELP RN
Answer:
2600
Step-by-step explanation:
(71+29) * 26
(100) * 26
2600
Answer:
2600
Step-by-step explanation:
Step 1:
First, following the order of operations, you have to do what is in the parentheses.
71+29
The sum of those numbers would be 100
Step 2:
Finally, you multiply 100 with 26
100·26
Which is 2600.
Please answer real quick
Answer:
use symbolab
Step-by-step explanation:
which system of linear inequalities is represented by the graph
Answer:
WOAH CALM DOWN JAMAL
Step-by-step explanation:
Answer:
y < x-2 and y > x+1
Step-by-step explanation:
Which of the following points are correct for the equation (multiple answers)
Y = 3x + 2
(-1, -3)
(0,5)
(1,5)
(2-3)
Answer:
1,5 is your answer
Y=5 and X=1
Insert it in the equation
5=3(1)+2
5=3+2
5=5
Hence proved!