Capacity of tank be x
At end of journey the tank was half filled.
Hence x/2 filledNow used percentage is 30%
[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]
Now
added gasoline=8gallonExpression:-
[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]
Lucy works as a tutor for $7 an hour and as a waitress for $12 an hour. This month, she worked a combined total of 86 hours at her two jobs.
Lett be the number of hours Lucy worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
==========================================================
Explanation:
t = number of hours she worked as a tutor86-t = number of hours she worked as a waitressThe two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.
7t = amount earned as a tutor12(86-t) = amount earned as a waitressWe multiply the number of hours by the wage per hour to get the amount earned per job.
Lastly, we add those two subtotals to get the grand total earned
7t + 12(86-t)
Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.
If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032
Which is the better buy 31 once bottle of katchup for $2.53 Or a 64 once bottle for $5.05
Answer:
64 once bottle for $5.05
Please help me π_π π_π
Lea worked for 3 hours 20 minutes and rested for 30 minutes. The she continued worked for 2 hours till 3.40 pm. What time did she start working?
Answer:
9.50 am
Step-by-step explanation:
3.40pm minus 2 hours = 1.40pm
1.40 minus 30 min = 1.10pm
1.10am minus 3 hours = 10.10am
10.10 am minus 20 min = 9.50 am
start at 9.50 .... works for3hrs and 20 min which ends at 1.10... 30min break which ends at 1.40...works for 2hrs that finally ends at 3.40pm
hope this helps☆☆☆
Please help question in pic
Answer:
7,3
Step-by-step explanation:
for every 5 it goes right it goes 4 up. 2,1+5,4=7,3
HELP!! BRAINLIEST!! +15 POINTS!! REAL ANSWERS ONLY PLEASE
What is the value of the expression when h = 5? h + 7
Answer:
12
Step-by-step explanation:
if h=5
then h+7 = 5+7 = 12
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
[tex]\implies\sf{h + 7} \\ \\ \implies\sf{5 + 7} \\ \\ \implies\sf{12}[/tex]
If Delta FGH sim Delta KJH find FH .
Answer:
39
Step-by-step explanation:
Two triangles are similar so we can use the similarity ratio to calculate the value of x this way we can find the length of FH
(x+8)/32 = (4x-25)/52 cross multiply expressions
52x + 416 = 128x - 800 export like terms to the same side of equation
416 + 800 = 128x - 52x
1216 = 76x divide both sides by 76
16 = x then the length of FH
4*16 - 25 = 39
A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line
Answer:
Step-by-step explanation:
The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Since the slope is (1/2), we can write:
y = (1/2)x + b
We want a value of b such that it forces the line to go through point (-10,9). Enter that point in the equation and solve for b:
y = (1/2)x + b
9 = (1/2)*(-10) + b
9 = -5 + b
b = 14
The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:
y = (1/2)x + 14
See attachment.
nolan is taking a multiple choice test his grade is given by the equation y=70-2x where y represents his final score and x represents the number of questions he got wrong . waht could the number 70 represents in the equation?
Answer:
70 could represent the total number of points nolan can earn on the test
Step-by-step explanation:
Four movie tickets cost $30.00. Each ticket cost the same amounts.what was the cost of each tickets in dollars and cents
Answer: $7 and 50 cents
Four movie tickets cost $30.00
1 movie ticket will cost 30.00/4 = $7.50
what is 1/5 of 15? ( algebra)
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Solve for x
-1/5x -25 = -9
Answer:
-80
Step-by-step explanation:
you pass the 25 to the right side adding and the the 1/5 multiplying by -5 to the right side
Simplify. Pls help really need help
Answer:
the answer is 5a
Step-by-step explanation:
"flower, heart, circle." what is The 35th shape is
Answer:
heart
Step-by-step explanation:
Answer:
heart
Step-by-step explanation:
The 36th shape will be the last shape in the 12th repeat of the sequence.
The 35th shape is next-to-last: heart.
Can i get some help :
Answer:
sorry i dont under stand it either would it be ok if i repost this
Answer:
t<28 Tia ran the race under 28 seconds
t>28 The temperature is warmer than 28°F
t<29 Tony is younger than 29 years old
t>29 The table is heavier than 29 kilograms
Step-by-step explanation:
the first sentence does not apply
Hope this helps
the two-way table shows information about the subjects studied
Answer:
a) 62
b) 31/45
Step-by-step explanation:
a) The table tells you there are 42 males, and 20 more females that study biology.
42 +20 = 62 . . . are male or study biology or both
__
b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...
62/90 = 31/45 = P(male or biology)
The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of m?
Answer:
m = 3
Step-by-step explanation:
Slope of first one is -1/3
Perpendicular therefore m = -(-1/3)^(-1) = 3
m = 3
Answer:
Given the equation line 4x+12y=8
Step-by-step explanation:
The equation is y=mx+5y=mx+5
The line passes through A(3,14)A(3,14)
Putting (x,y)=(3,14)(x,y)=(3,14), we have…
14=3m+514=3m+5
⟹3m=9⟹3m=9
⟹m=3
Prove that the equation x^2+px-1=0 for every p has two different solutions
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
We know p2≥0 for all values of p
⇒p2+4≥0 (since 4>0)
Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
BRAINLIEST
Please solve
A recipe that serves 8 people requires 4 1/2 cups of flour. How many servings are in one recipe? Suppose you need to make enough to serve 24 people. How many batches of the recipe would you need to make?
Answer:
check online for more information
Answer:
Check online for more informations.
Solve 54=y−14. i need help anything helps.
Answer:
y=68
Step-by-step explanation:
isolate the variable by adding 14 to both sides
54+14=y+14-14
68=y
Please help me:( The volume of the above solid is
O A. 208.87 cm3
O B. 216T1 cm2
O C. 1807 cm3
O D. 2161 cm3
Answer:
the volume of cylinder = πr²h
h = 5cm
r = 6cm
volume = π × 6² × 5
= π × 6 × 6 × 5
= 180πcm³
What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?
Answer:
[tex]f(x)\longrightarrow\infty[/tex] as [tex]x\longrightarrow\infty[/tex]
Step-by-step explanation:
We can see that all parts of the polynomial are positive, so as x gets larger, y will also get larger.
1/2 - (-1/3 + 2/5)
please help?
1/2-(-1/3+2/5)
= 1/2-(-0.33333333333333+2/5)
= 1/2-(-0.33333333333333+0.4)
= 1/2-(0.066666666666667)
= 1/2-0.066666666666667
= 0.5-0.066666666666667
= 0.43333333333333
Answer: 13/30 or 0.4333333333
Step-by-step explanation:
Just add and subtract them.
Correct me if I am incorrect.
Solve 4,200 ÷ 70 = ________. Rewrite as a fraction to help you.
A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?
Answer:
$24,000
Step-by-step explanation:
The difference for principal amount P is ...
(8% × P) - (7 3/4% × P) = $60
0.0025P = $60
P = $24,000 . . . . . multiply by 400
His principal was $24,000.
Evaluate the expression. 5 x (-6 / -1 + -10)
Answer:
-20
Step-by-step explanation:
[tex]5 * (-6 / -1+ -10)[/tex]
According to PEMDAS, we need to do the math in the parentheses first.
[tex]-6 / -1 + -10[/tex]
Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.
[tex]6 + -10[/tex]
Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.
[tex]6 - 10[/tex]
Subtracting, we get 6 - 10 = -4 and we're left with:
[tex]5 * (-4)[/tex]
Multiplying, our final answer is -20.
Hope this helps!
A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop
Answer
If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45
Select all the functions whose output is 4 when the input is 16.
A.
y = 2x
B. y=x?
2
= x
C.
y = x + 12
D.
y = x - 12
E. y = 1
x
Answer:
Please check your post. I did the best I could.
Step-by-step explanation:
A. y = 2x 4 = 2*(16)? Nope
B. y=x? I don't understand the equation: y = x? 2 = x?????
C. y = x + 12 4 = 16 + 12? Nope
D. y = x - 12 Same???
E. y = 1 x 4 = 16? Nope
Can someone please help me with this and I’ll give you a lot of points
Answer:
C
Step-by-step explanation: