Answer:
a−4b
Step-by-step explanation:
=4a+−6b+−3a+2b
Combine Like Terms:
=4a+−6b+−3a+2b
=(4a+−3a)+(−6b+2b)
=a+−4b
I like your cut g ;)
Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. If she purchases 4 more child tickets than senior tickets and spends a total of $38, which statement is true?
The solution to this system is no viable because it results in fractional values of tickets.
The solution to this system is viable.
The solution to this system is nonviable because it results in negative values of tickets.
The solution to this system is no viable because it results in fractional values of money.
Answer:
A: The solution to this system is no viable because it results in fractional values of tickets
Step-by-step explanation:
Let number of adult, child, and senior tickets be x, y and z respectively.
Thus;
x + y + z = 12 - - - (eq 1)
she purchases 4 more child tickets than senior tickets.
Thus, y = z + 4
Thus:
x + (z + 4) + z = 12
x + 2z + 4 = 12
x + 2z = 8 - - - (eq 2)
Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,
Thus;
5x + 2(z + 4) + 4z = 38
5x + 2z + 8 + 4z = 38
5x + 6z + 8 = 38
5x + 6z = 38 - 8
5x + 6z = 30
Divide through by 5 to get;
x + (6/5)z = 6 - - - (eq 3)
Subtract eq 2 from eq 1 to get;
2z - (6/5)z = 8 - 6
2z - (6/5)z = 2
Multiply through by 5 to get;
10z - 6z = 10
4z = 10
z = 2½
It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.
Solve this equation for x by graphing.
-4x - 1 = 5^x + 4
Please help! Asap
Answer:
-1.28
Step-by-step explanation:
You would put these two equations into a graphing ccalculator:
y = -4x - 1
and
y= 5^x + 4
Wherver they intersect is your answer.
These two happen to intersect at (-1.28,4.13)
Since the equation has x-values, you would give the first number (x-coordinate) as your answer.
What’s the slope and y intercept of (3,4) and (0,-3)
Slope: 7/3
Y intercept: -3
If the scientific notation is 3.042x10^2 what would it looked like in standard form? please help.
Answer:
Convert to scientific notation. 1.) 2,800 2.8*10%. 2.) 742,00p, 7.42 x 105. 3. ... When translating scientific notation to standard form, you need to decide which way to move the decimal point. If the exponent is negative, you move the decimal point to the. -left ... We should move the decimal point 3 places to the left.
Step-by-step explanation:
Answer:
304.2
Step-by-step explanation:
3.042 * 100 = 304.2
6. Solve the equation: (c+3)−2c−(1−3c) = 2
a. c=−1 b. c=1 c. c=0 d. c=4
Answer:
C- C=0
Step-by-step explanation:
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?
Answer: 0.007%
you divide 56% by 8,000 and you get 0.00007
then you multiply it by 100 and you get 0.007
so its 0.007%
Use inductive reasoning to predict the most probable next number in each list.
6, 9, 15, 24, 36, 51, ?
Answer:
69
Step-by-step explanation:
The numbers increase by 3 more than the previous amount increased by.
6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69
A survey of 100 doctors revealed that 2 out of every 5 doctors recommended Brand M deodorant. Based on these results, how many doctors did NOT recommend Brand M?
60
40
20
140
Answer:
Ok well it’s obviously not 140 Bc that’s more Doctors than they had to start and it isn’t 20, it’s not 40, so it’s 60.
Step-by-step explanation:
Also if you do 100/5 you get 20 and 5-2 is 3 so 20 times 3 is 60 so yeah
3 + 0.1 + 0.006 in a decimal and in word form plz help
Answer:
decimal form: 3.106
word form: 3 and one hundred and 6 thousandths
Step-by-step explanation:
Answer:
Decimal form:
3.106Word form:
Three and one hundred six thousandths.Step-by-step explanation:
find x it is multiple choice.
Answer:
25
Step-by-step explanation:
the city of Picayune has set aside $900,000 to build a new water tower in the shape of a cylinder. If the price per cubic foot is $10.50, what is the largest measure for the radius and height of the cylinder in order to not exceed the budget?
Answer:
So as not to exceed the budget, where π = 22/7, we have;
The radius = 10 ft and the height = 3/11 ft
For standard 40 ft. height, the radius is approximately 0.8259 ft
Step-by-step explanation:
The amount set aside for the water tower = $900,000
The price (amount) per cubic foot = $10.50
Therefore, we have;
[tex]The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{The \ amount \ set aside \ for \ the \ water \ tower}{The \ price \ (amount) \ per \ cubic \ foot }[/tex]
[tex]\therefore The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{\$ 900,000}{\$10.50/ft\\ ^3} = \dfrac{600}{7} ft.^3 = 85 \frac{5}{7} ft^3[/tex]
Whereby the height of a standard water tower = 40 ft., we have;
The shape of the water tower = The shape of the water tower
∴ The volume of the water tower V = π × r² × h
Where;
r = The radius of the water tower
h = The height of the water tower
Taking π = 22/7
600/7 = 22/7 × r² × h
r² × h = 600/7/(22/7) ≈ 300/11 = 100 × 3/11
Solving to get exact dimensions so as to not exceed the budget, we have;
r² × h = 100 × 3/11 = 10 × 10 × 3/11
Therefore, the radius can be 10 ft. and the height = 3/11 ft.
Or for standard 40 ft. height, we have;
r² = 600/7/(π × 40)
r ≈ 0.8259 ft.
How many 8ths of an inch are there in 3/4
Answer:One-half names the same number as two-quarter or as three sixths or as four-eights . Three-fourths is equal to six-eighths because they are different ways of expressing the same number.
Step-by-step explanation:
answer both and i will give you branliest
numbers with a sum of 1
Answer:
0.5 + 0.5, 0 + 1, 0.6 + 0.4, etc etc
Step-by-step explanation:
what is the sample space for the suits of a standard 52-card deck of cards?
Answer:
lo siento tanto pero necesito los puntos:(
Step-by-step explanation:
disssss tooo helllllllpppp shoals shzn
Answer:
3/2
Step-by-step explanation:
Use this formula y2-y1/x2-x1
PLUG IN YOUR POINTS
-3 - -9/ 8- 4 =
6/4 (simplify)
1.5 or 3/2
Hope this helps ya!!
Urgent! Please help!
Solve the given equation:
3(x-2)^4/3 =243
Answer:
x is equal to 29.
Step-by-step explanation:
[tex]3(x - 2)^{\frac{4}{3}} = 243\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2) =( 243 / 3)^{\frac{3}{4}}\\x - 2 = 81^{\frac{3}{4}}\\x = 3^3 + 2\\x = 27 + 2\\x = 29[/tex]
Determine which situation could be represented by the system of linear equations given below
please answer this question
Answer:
16%
Step-by-step explanation:
Add all of the dots together, you get 4/25 (the household of 3/total) and multiply top and bottom by same number. the bottom should equal 100. 25*4=100, 4×4=16. 16/100=16%
The table below shows the distances and travel times for three different flights departing from Minneapolis.
Destination Travel time (in hours) Distance (in \text{km}kmstart text, k, m, end text)
Phoenix 333 168916891689
Minot 222 913913913
San Francisco 444 255625562556
Which flight has the fastest average speed?
Answer:
San Francisco with average speed of 639 km/hour
Step-by-step explanation:
Phoenix 3 1,689
Minot 2 913
San Francisco 4 2,556
Phoenix average speed = distance travelled / time taken
= 1,689 km /3 hours
= 563 km/hour
Minot average speed = distance travelled / time taken
= 913 km / 2 hours
= 456.5 km/hour
San Francisco average speed = distance travelled / time taken
= 2,556 km / 4 hours
= 639 km/hour
The fastest average speed flight is San Francisco with an average speed of 639 km/hour
Answer:
San Francisco with average speed of 639 km/hour
Step-by-step explanation:
Find two consecutive whole numbers that the square root of 85 lies between.
9514 1404 393
Answer:
9, 10
Step-by-step explanation:
It helps if you're familiar with the squares of small integers.
9^2 = 81
(√85)^2 = 85
10^2 = 100
The square root of 85 lies between 9 and 10.
_____
Of course, you can find this answer using your calculator:
√85 ≈ 9.2195, a number between 9 and 10
14.)A baseball team play 34 games in their season. If they won 55% of the
games they played how many did they win
At $1.47 per gallon of gas, what is the cost of 15 gallons?
Answer: $22.05
Step-by-step explanation:
We know,
1 gallon = $1.47
Then,
15 gallons = $1.47 * 15 = $22.05
Answer:
1 gallon gas = 1.47
15 gallon gas = 15×1.47
=22.05
Which equation has no solution? Select all that apply.
A 15 - 3x = 5(x + 4) - 8x
B) 2(x - 7) = 2x – 10
C) -2 - 2x = 6(2x + 2)
D) 24x – 22 = -4(1 - 6x)
Answer:
I think it is C
Step-by-step explanation:
You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.
Answer:
1/8th
Step-by-step explanation:
since there are 24 hours in a day
Answer: 1/8
Step-by-step explanation:
a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.
Hope i helped have a good rest of your day!!
Can anyone help me with this for some reason I can’t get my head round it
Answer:
4116
Step-by-step explanation:
12000÷100=120 2015
120×70=8400
8400÷100=84 2016
84×70=5880
5880÷100=58.8 2017
58.8×70=4116
what is the equation of this graph?
Answer:
C. x=4
Step-by-step explanation:
In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.
HELP WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
Answer: it would be d
Step-by-step explanation:
What is the slope of this line?
Answer:
-3/2
Step-by-step explanation:
you can use the rise over run method to find the slope of this line
HELP ASAP!!!
If f(x) = -4x + 1, find f(2).
Enter the numerical value only
Answer:
-7
Step-by-step explanation:
-4(2)=-8
-8+1=-7........