Answers
Answer:
The two bowling alleys cost the same when there are 10 people in the group.
Step-by-step explanation:
Bustlin' Bowling first:
$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.
Grand Entertainment next:
$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.
So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.
In variables, it's asking when b = g, what is x?
Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.
I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:
35 + 2x = 20 + 3.5x
Subtract 2x from both sides.
35 = 20 + 3.5x - 2x
35 = 20 + 1.5x
Subtract 20 from both sides.
35 - 20 = 1.5x
15 = 1.5x
Divide both sides by 1.5.
15/1.5 = 1.5x/1.5
10 = x
Sooo, the answer is 10 people.
Please mark as Brainliest! :)
Related Questions
Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.50. Determine the constant of proportionality for dollars earned per hours worked and for hours worked per dollars earned.
Answers
Answer:
Jeff earns $7.50 dollars per hour
Step-by-step explanation: Just divide $37.50 and 5.
Able has a younger sister and an older brother.
- Able’s age can be represented by x.
- Able’s sister is 4 years younger than him.
- Able’s older brother is twice as old as he is.
- The combined age of all three siblings is 32.
How old is Able’s younger sister?
9 years
13 years
5 years
3 years
Answers
Answer:
5 years
Step-by-step explanation:
1. if able's age is x, then his sister's is x-4, and his brother's is 2x
2. if these sum to 32, then we can formulate the equation x+(x-4)+2x=32
3. now solve for x, 4x-4=32, 4x=36, x=9
4. if able's sister is x-4 years old, she is 9-4, or 5 years old
Which of the following can you add/subtract?
A) 5√4 + 6√4
B) 3√7 − 3√5
C) 9 √ + 39√
Answers
Answer:
A
Step-by-step explanation:
you can only +/- an equation like this with the same square root
what is 2.6 divided by 0.4
Answers
Answer:
6.5
Step-by-step explanation:
Can someone please help me with these 50 points I just don't get it I need help?
Answers
Answer: I think the first one is A. and the next one is B
Step-by-step explanation:
An Ice cream machine fills cartons at a rate of 1440 pints per hour. How many gallons are filled per minute? 1 gal is equal to 8 pints.
Answers
Answer:
that will be 3 gallons per minute
Step-by-step explanation:
just took it on a test
99/225 simplified to the lowst term
Answers
Answer:
[tex]\frac{11}{25}[/tex]
Step-by-step explanation:
Answer:
11/25 the lowest this fraction can go.
5) 2-X = 15
Find the value of x
Answers
Answer:
x= -13
Step-by-step explanation:
-x= 13
x=-13
Answer:
13 urgupieux8ttc9y d6 og
The next train will arrive in 32 minutes and 30 seconds.
In how many seconds will the next train arrive?
Answers
Answer:
1950 seconds
Step-by-step explanation:
if sixty seconds are in a minute, then you just multiply 32, the number of minutes by the number of seconds in a minute and add 30.
Is the difference of 18 and 3 a rational number?
Answers
Answer:
it is a whole number but because rational numbers include all intergers and whole numbers it is also a rational number
Step-by-step explanation:
Proving Triangles congruent: ASA, AAS, SAS SSS
Cate:
For each problem give the correct naming order of the congruent triangles Write that name in order on the
lines for the problem number (see box at bottom) Aso indicate which postulate or theorem is being used
2
AVAVAV
N
ASC.
ABC a
by
LABCO
Answers
Answer:
WIR by SAS
EHS by AAS
GTN by SSS
Whats 0.52 / 0.0013?
Answers
Answer:
400
Step-by-step explanation:
Use a calculator if you don’t believe me
5(2x-3)=24
Help me in this pleasee
Answers
Answer:
x = 3.9
Step-by-step explanation:
5(2x-3)=24
Distribute
10x -15 = 24
Add 15 to each side
10x-15+15 = 24+15
10x = 39
Divide each side by 10
10x/10 = 39/10
x = 3.9
OK, this question is a little complicated. Solve v, 5/v=7.25
Answers
Answer:
Hope this helps you .....
Answer:
[tex]v=\frac{145}{8}[/tex]
Step-by-step explanation
[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]
[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]
[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]
[tex]v=\frac{145}{8}[/tex]
Jessica is buying roses to sell at a fundraiser for school. She needs to purchase the roses at the lowest price per rose to allow for the highest profit margin. The roses are sold in bunches of 4, 6, 8, or 12. The chart below shows the prices for the different bunches of roses. Roses in Bunch Price 4 $7.98 6 $8.50 8 $10.25 12 $12.25 Based on the information in the chart, which size bunch would be the least expensive per rose? A. 4 B. 6 C. 8
Answers
Answer:
how do i comment
Step-by-step explanation:
You typed a 600 word essay in 12 minutes. Let w be the number of words you can type in one minute. Can w be 60?
Answers
Answer:
w = 50
Step-by-step explanation:
600 = 12w
600/12 = 12/12w
w = 50
convert the mixed number into a decimal. 5 1/4 That is the fraction of 5 and 1/4
A. 5.25
B. 5
C. 525
D. 52.5
Answers
Answer:
The answer is A.
Step-by-step explanation:
I did it.
Plz help
2.
The midpoint of AB is M. If the
coordinates of M are (,-2) and
the coordinates of B are (6,1),
what are the coordinates of A?
a) (-5,-5)
b) (2, -10)
c) (-10, 2)
d) (-13/4,-3/2
e) (-5,5)
Answers
Answer:
A
Step-by-step explanation:
the distance between M and point be is 5.5 for the x coordinate and 3 for the y coordinate. to find point b you added 5.5 to to the x and 3 to the y so if you subtract this from point M you get (-5,-5).
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 48 and a standard deviation of 9. Using the Standard Deviation Rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 30 and 66?
Answers
Answer:
95.44%
Step-by-step explanation:
Mean (m) = 48
Standard deviation (sd) = 9
n = 12
Zscore = (x - m) /sd
X = 30
Zscore = (30 - 48) / 9
Zscore = - 2
X = 66
Zscore = (66 - 48) / 9
Zscore = 2
percentage of daily phone calls numbering between 30 and 66 = P(z < 2) - p(z < - 2)
P(z < 2) = 0.9772
P(z < - 2) = 0.0228
Hence,
0.9772 - 0.0228 = 0.9544
0.9544 * 100% = 95.44
Please help giving 10 points!
Which statements about the graphs of the equations y = 2x + 4 and y = −x + 4 are true? Select all that apply.
A. The graphs intersect the x-axis at the same point.
B. The graphs intersect the y-axis at the same point.
C. The graphs have different slopes.
D. The graphs are parallel lines.
Answers
Answer:
The answer is B and c.
Step-by-step explanation:
first thing you need to do is look at slopes
the slopes are different then look at the y intersects there the same
and finally they both intersect at the same point.
the correct answer is B and C.
please help me solve this problem
Answers
Explanation: To solve for x, you need to put the two given expressions side by side. (2x-5=x+10). Then you will solve for x using inverse operations. if you need more help or want me to explain further please feel free to message me :)
Is -3/4 rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
The fraction -3/4 can be written as a ratio, and is a finite amount, making it rational.
Which table shows a proportional relationship ?? Pls help
Answers
Answer:
Option 2
Step-by-step explanation:
If you multiply 2 by 2 you get 4. If you multiply 3 by 2 you get 6. If you multiply 4 by 2, you get 8. If you multiply 5 by 2 you get 10. A proportional relationship is where you can multiply all the numbers by a certain number to get the answer. In this case, all the numbers in the left column could get multiplied by 2 to get the number in the right column.
I HAVE 5 MINUTES PLZ HELP ! (its a slope problem)
Answers
Answer:
-1/4
Step-by-step explanation:
Simply draw a slope triangle
Answer:
its -1/4 which is the third option
Step-by-step explanation:
negative because it's going down, 1/4 because every four blocks to the right it goes down by only one block
Will give brainliest will give brainliest will give brainliest and 60 think point
Answers
Answer:
∠3 and ∠2
Step-by-step explanation:
Adjacent angles are angles that have a common side and common vertex which each other.
The first option is incorrect because they don't share a common side. They do share a vertex but that isn't enough to call them adjacent.
The second option is correct because they share a common side and vertex.
The third option is incorrect because they don't share a common side.
The fourth option is incorrect because they don't share a common side. These two angles are congruent and opposite angles.
Best of Luck!
Answer:
3
Step-by-step explanation:
Suppose you had two circular objects. Let the first circular object have a diameter of 26 cm and let second circular object have a diameter that is half as long as the diameter of the first. What would the circumference be for the second item in centimeters?
Answers
Answer:
its sonar
Step-by-step explanation:
h bug
A Toy Story poster is enlarged. The new length is 5 feet and the width is 3 feet. The original length was 6 inches what was the width?
Answers
So, let’s plug the 3 feet into this ratio. 3 feet is equal to 36 inches. This gives you 3.6 inches. (Since 3.6 times 10 is 36)
Hope this helps!!
Need help ASAP
Please
Answers
Answer:
area:[tex]16x^2+24x+9[/tex] Perimeter: 16x+12
Step-by-step explanation:
area :[tex](4x+3)^2[/tex]
thats [tex]16x^2+24x+9[/tex]
P: 4(4x+3)
thats 16x+12
Hope this helped you
<3
Red
Answer:
Perimeter is all sides added together, while Area is one side height times length
Step-by-step explanation:
Since your shape is a square all sides are equal so the equation is the same for all sides
Perimeter = 4z+3+4z+3+4z+3+4z+3 or (4z+3)4
14z+12 <= answer for perimeter
Area = (4z+3) (4z+3)
16z^2+12z+12z+9
16z^2+24z+9 <= answer for area
What is the slope of this graph?
A. −4
B. −14
C. 14
D. 4
(picture down below)
Answers
Evaluate the function f(x) = sec(x - ) for x = 0.
Answers
explanation: