Answer:
Car Z has better petrol consumption. Choice C. Z
Step-by-step explanation:
Petrol Consumption
Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon
Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.
This means that car Z has better petrol consumption. Choice C. Z
What is the equation of the line that passes through the point (5, 1) and has a slope
of 1?
Answer:
y=1x-4
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=1(x-5)+1
1x-5+1
y=1x-4 (y=mx+b)
Find the value of c that makes the equation a perfect square trinomial.
x^2+8x+c
Answer:
16
Step-by-step explanation:
(x + 4)(x + 4)
x² + 4x + 4x + 16
x² + 8x + 16
Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work follows, but the last two lines of work are missing.
Which answers correctly fill in the blanks?
Select two answers: one for blank 1 and one for blank 2.
Answer:
Blank 1: 2xy(4x-5)=3(4x-5)
Blank 2: (2xy+3)(4x-5)
Step-by-step explanation:
The first step in factoring this polynomial is to find the biggest common factor in both numbers inside the parenthesis, and the second step is to find the biggest common factor of the 2 addents.
The other steps are invalid, either because they don't respect positive or negative signs, or that they just factor it wrong completely.
The only correct answer are:
Blank 1: 2xy(4x-5)=3(4x-5)
Blank 2: (2xy+3)(4x-5)
Solve for AB. Round your answer to the nearest tenth if necessary.
Answer:
See Below
Step-by-step explanation:
You want to find AB.
They give the equation for AB, BC, and AC
AC - BC = AB
substitute the equations
(30) - (8x + 3) = 6x + 8
30 - 8x - 3 = 6x + 8
27 - 8x = 6x + 8
+8x +8x
27 = 14x + 8
-8 -8
19 = 14x
19/14 = 14x/14
1.3571428 = x
0.1 = tenth
1.4 = x
Substitute x into the equation for AB
6(1.4) + 8
16.4
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~First~you~need~to~make~an~equation:[/tex]
[tex]\bold{30-8x+3=6x+8}[/tex][tex]\bold{You~do~this~by~using~all~the~information~available~and~set~it~up~to~solve~for~AB.}[/tex][tex]2.)~Add~30~and~3~to~get~33:[/tex]
[tex]\bold{33-8x=6x+8}[/tex][tex]3.)~Subtract~6x~from~both~sides:[/tex]
[tex]\bold{33x-8x-6x=8}[/tex][tex]\bold{Causes~signs~to~change~and~the~equation~gets~rearranged.}[/tex][tex]4.)~Combine -8x~and~-6x:[/tex]
[tex]\bold{-8x-(-6x)=-14x}[/tex][tex]\bold{33-14x=8}[/tex][tex]5.)~Subtract~33~from~both~sides:[/tex]
[tex]\bold{33-33=Cancels~out}[/tex][tex]\bold{8-33=-25}[/tex][tex]5.)~Divide~both~sides~by~-14:[/tex]
[tex]\bold{-14x}[/tex] ÷ [tex]\bold{-14=x}[/tex][tex]\bold{-25}[/tex] ÷ [tex]\bold{-14=-1.78571429}[/tex][tex]6.)~Simplify:[/tex]
[tex]\bold{1.78571429}~(Take~Away~the~Negative!)[/tex][tex]\bold{1.8}~(Round~to~the~Nearest~Tenth!)[/tex][tex](To~Round~look~at~that~number~in~the~tenth~place:~7,\\~now~look~to~the~number~to~the~right:~8.~\\\\So~if~that~number~is~greater~than~or~equal~to~5,~then~you~round~up.\\If~that~number~is~less~than~or~equal~to~5,~then~you~round~down.)[/tex]
______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{AB=1.8}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
You read 9.75 pages in your science book and 24.5 pages of a play for English class
It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?
Answer: 1. You have to multiply 9.75x1.2= 11.7
2.You have to multiply 24.5x0.8= 20.4
3. Add the to products 11.7+20.4= 32.1
4. Answer is- 31.3 minutes
Step-by-step explanation: Hopefully this helped a lot ;D
8^ 1/3 what is it simplified
Step-by-step explanation:
Simplifying mixed numbers
Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.
Answer:
8^1/3= 2
:-))))
Which is an irrational number?
Answer:
[tex]\sqrt{\frac{5}{3} }[/tex]
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. [tex]\sqrt{\frac{5}{3} }[/tex] is irrational.
Hope this helps! o(〃＾▽＾〃)o
Need help asap
x=4 and y= -9
2xy+15x
Answer:
12
Step-by-step explanation:
2xy+15x
Let x=4 and y= -9
2(-4)(-9) + 15(-4)
Multiply
72 -60
Subtract
12
Answer:
-12
Step-by-step explanation:
2(4)(-9)+15(4) is what it should look like.
Jenny ran 5 more miles this week than she ran last week. Let t be the number of miles she ran last week. Write an expression that tells how many miles she ran this week.
Answer:
t+5+x
Step-by-step explanation:
It says Jenny ran 5 more miles than last week so you find the number from last week then add 5. X is the miles she ran this week
Answer:
t + 5
Step-by-step explanation:
In this problem, you have to recognize what the information is telling you in terms of the vocabulary used. For example, the first sentence tells us that she ran 5 more miles than last week. This is key because it lets us know that our expression will have an addition sign.
Once you recognize that the problem is telling you to add 5 to her previous distance, you get a final expression of t + 5. Hope this helps!
1. You pay $25.00 to fill up the 13-gallon gas tank of your internal combustion engine car.
How much are you paying for one gallon of gas?
Answer:
$1.92 a gallon!!
Step-by-step explanation:
Answer:
You will pay $1.92 per gallon.
Step-by-step explanation:
Divide 25.00 by 13 to by how much money per gallon:
[tex]25.00/13=1.923[/tex]
You cannot round up.
You will pay $1.92 per gallon.
-Hope this helps! :)
What is the displacement of the red ball between 0 s and 24 s
Answer:
12s
Step-by-step explanation:
Because 24 divided by 2 is 12
Answer:
Step-by-step explanation:
You deposited a check for $1,200 into your checking account that had a balance of $625 and it "bounced". You had written checks for $450, $225, $215, and $187. Your bank will pay the largest check that you wrote first. Your account is overdrawn, and the remaining checks written to pay monthly bills did not clear. Your bank charged you a $35 overdraft fee and each of the remaining creditors receiving bounced checks charged you a $25 late payment fee. What did the $1,200 check that "bounced" on you cost you?
Answer:
total cost = $110
Step-by-step explanation:
Your bank will charge you $35 as overdraft fee.
The bank will only pay one check for $450, so that means that 3 more checks will remained unpaid. Since your creditors charge you $25 per bounced check, then they will charge you 3 x $25 = $75.
Total costs = $35 + $75 = $110
At the gym, Garson always completes 3 pull-ups for every 8 sit-ups he does. Last night, Garson completed 24 sit-ups. Which ratio represents the relationship between the number of pull-ups and the number of sit-ups Garson completed last night?
Answer:
9:24 simplifies to 3:8
Step-by-step explanation:
3:8
24/8=3
3*3=9
last night he did 9 pull ups and 24 situps
joe needs to transfer 28 quarts of oil into containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error
This question is incomplete
Complete Question
Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error
Joe's error:
28 quarts × 4 quarts/ 1 gallon
= 28 quarts/1 × 4 quarts/ 1 gallon
= (28 × 4)/ ( 1 × 1) = 112 gallons
Answer:
7 gallons is the correct answer
Joe needs to transfer 28 quarts of oil into 7 gallons
Step-by-step explanation:
Joe's error:
28 quarts × 4 quarts/ 1 gallon
= 28 quarts/1 × 4 quarts/ 1 gallon
= (28 × 4)/ ( 1 × 1) = 112 gallons
Correcting Joe's error, we have:
4 quarts = 1 gallon
28 quarts = x
Cross Multiply
4 quarts × x = 28 quarts × 1 gallon
x = 28 quarts × 1 gallon/ 4 quarts
x = 7 gallons
= 28 quarts/x gallons × 1 gallon/4 quarts
= (28 × x)/ ( 1 /4) = 7 gallons
Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons
10.7+(-3.5) help plz
7.2
Step-by-step explanation:Hi there !
10.7 + (-3.5) =
= 10.7 - 3.5
= 7.2
Good luck !
please help me with this!!!!!
All you have to do is add up all of the numbers and then yo uwill have your answer
Find the GCF of the terms of the polynomial.
35Z^4 - 70z3 + 14z2
Answer:
7z^2
Step-by-step explanation:
WILL GIVE BRAINLIEST
Which descriptions can describe more than one triangle? Select two option:
side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 350, 350, and 110°
angle measurements of 30°, 409, and 50°
angle measurements of 40°, 60°, and 80°
side lengths of 4 cm, 6 cm, and 9 cm
Answer:
angle measurements of 40°, 60°, and 80°
side lengths of 4 cm, 6 cm, and 9 cm
Step-by-step explanation:
Find the missing side using the pythagorean theorem.
9 in
12 in
x =
Answer:
225 in
Step-by-step explanation:
PLEASE HELP!!! How many solutions does each polynomial have?
Answer:
answer in picture
Step-by-step explanation:
Please help fast
If you drew lines to model the verbal statement, the equation, and the table that you created in the three parts of question 1, would you get the
same line for all three? Explain
Answer:
The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.
Answer:
The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.
Step-by-step explanation:
Pocndnsmwntjjwbsnsns. Dhaka be d
Answer: m = 4
Step-by-step explanation: 2x4+5=13, 2x4=8 and 8+5=13.
PLEASE HELP AND SHOW WORK PLS
Function or not a function?
Answer:
fuction
Step-by-step explanation:
find the DIFFERENCE between 901.28 and 375.54
Answer:
Pretty sure its 525.74
Lionel Messi, who is running 20 feet per second is 15 feet behind Cristiano Ronaldo who is running at 17 feet per second. How long will it take Messi to catch up with Ronaldo?
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet
Step-by-step explanation:
Find the product 0.025 x 7
A. 0.0175
B: 0.175
C. 1.75
D. 17.5
Answer:
b
Step-by-step explanation:
used a calucator
Find the common difference for the sequence shown
SUPER EASY
1/4, 5/16, 3/8, ...
A. 1/16
B. 1/4
C. 1/2
Answer:
B.
Step-by-step explanation:
divide the 2nd term to 1st term of sequence
-2(39% + **)+(855 + 2K)
Answer:
42711 /50
Step-by-step explanation:
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) Slope = 6, y-intercept = 5
2) Slope = -1/3, y-intercept = 1
Answer:
1.) y= 6x+5
2.) y= -1/3x+1
Step-by-step explanation:
Slope Intercept Form is y=mx+b,
where slope is m
the y-intercept is b
So I just plugged in the slope and y-int to get the equation