Answer:
x = 2
Step-by-step explanation:
2(3х + 5) = 22
Divide both sides by 2.
3x + 5 = 11
Subtract 5 from both sides.
3x = 6
Divide both sides by 3.
x = 2
During spring break, a class of 14 children went to Walt Disney World in Florida. The price for each child’s ticket was $75, while each adult ticket was $85. If the total amount spent on tickets was $1,475, how many adults went on the trip?
Answer:
5 adults went on the trip.
Step-by-step explanation:
There are 14 children ($75 each) and the total was $1475. We need to find out how many adults were there ($85 each)
c is for children and a is for adults
equation: $75c+ $85a = $1475
$75(14)+ $85a= $1475
$1050 + $85a = $1475
-1050 -1050
$85a = $425
85a/85 = 425/85
a = 5
5 adults went on the trip. Hope this helps! :)
There were 5 adults that went on the trip.
What is unitary method ?Unitary method is finding the value for a single unit.
According to the given question During spring break, a class of 14 children went to Walt Disney World in Florida the price for each child’s ticket was 75 dollars.
So, Cost of tickets of 14 children is
= (14 × 75) dollars.
= 1050 dollars.
Total amount spent on tickets for children and adults is 1475 dollars.
∴ Total amount spent for tickets for the adults is
= ( 1475 - 1050 ) dollars.
= 425 dollars.
Given price of one ticket for adult is 85 dollars, So for 425 dollars the no. of tickets will be
= 425/85 dollars.
= 5 tickets which states there were 5 adults.
learn more about unitary method here :
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If the shoes cost $25 and he spent $78.85 before tax, how
much do each pair of shorts cost?
Answer:
The shorts cost $53.85
Step-by-step explanation:
The shoes cost $25, and so if he paid $78.85, then the shorts are $53.85.
Describe the effect of the transformation to the graph y = f(x) if it is transformed to y = 7f(x−8)
The transformation y = 7f(x - 8) has two effects on the graph of the original function y = f(x): a horizontal shift to the right by 8 units and a vertical stretching by a factor of 7.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The transformation to the graph y = f(x) if it is transformed to y = 7f(x−8)
The horizontal shift to the right by 8 units means that each x-value in the original function is decreased by 8. This has the effect of shifting the entire graph of the function 8 units to the right along the x-axis.
The vertical stretching by a factor of 7 means that each y-value in the original function is multiplied by 7. This has the effect of stretching the entire graph of the function vertically by a factor of 7.
Together, these two effects cause the graph of the transformed function y = 7f(x - 8) to be a vertically stretched version of the original graph, shifted 8 units to the right along the x-axis.
The shape of the graph will remain the same, but it will be taller and shifted to the right compared to the original graph.
To learn more about the transformations click here :
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1. If it rains on Friday, then the game is postponed.
how do i write the problem in symbolic form?
Answer:
"if it rains on friday then the game is postponed"...
Step-by-step explanation:
The Frosty Ice-Cream Shop sells sundaes for $4 and banana splits for $6. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $182. How many sundaes did they sell?
Answer:
23
Step-by-step explanation:
Answer:
They sold 48 sundaes.
Step-by-step explanation:
Admission to the fair is $8.50 and each ride costs $1.25. He has $40 to spend at the fair. write an inequality to represent the situation. Solve the inequality to determine the maximum number of rides Jaylen can enjoy.
PLSSSSS HELPPP IM TIMED AND I WILL MARK BRAINLIEST AND HELP OUT WITH UR QUESTIONS!!!
Answer:
8.50 divided by 1.25 then when u get the answer subtract 40
Answer:
25
Step-by-step explanation:
so instantly 40-8.50=31.5
The question is very vague because it doesn't state the number of rides he wants to go on in minimum.
if you do 1.25x25=31.25
According to that, he will leave with a change of 0.25 and obv u cannot go on half a ride...
So in about 2 mins i guess it is 25???
Add me on instagram: vnshl
The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters).
What dimensions result in the maximum area?
A rectangle_ meters by_ meters results in the maximum area.
Answer:
The dimensions that result in the maximum area are therefore;
Width = 3.5
Height = 3.5
Step-by-step explanation:
The given parameters are;
The area of the rectangle, y = x × h
Where;
x = The width of the rectangle
h = The height of the rectangle
By examination, we have;
x + h = 7
Therefore, x = 7 - h
Which gives;
y = x × (x - 7) = x² - 7·x
y = x² - 7·x
At x = 0, y = 0
At x = 7, y = 0
However, at x = 1, y = -6
Therefore, the function should be, y = -(x² - 7·x)
The maximum occurs where dy/dx = 0, which gives;
dy/dx = d-(x² - 7·x)/dx = 0
dy/dx = 2·x - 7 = 0
2·x - 7 = 0
x = 7/2 = 3.5
On second derivative, we have;
d²y/dx² = 2, which gives a local minimum
x = 3.5 at maximum height
Which give, the maximum height, [tex]y_{max}[/tex] = -(x² - 7·x) at x = 3.5
∴ [tex]y_{max}[/tex] = -(3.5² - 7×3.5) = 12.25
The maximum height = 12.25
The dimensions that result in the maximum area are therefore;
Width, x = 3.5
Height, h = 7 - x = 7 - 3.5 = 3.5
Height, h = 3.5.
On a horizontal number line, -7 is located to the right of -10.
(9.r + 1)
(11x - 23),
Help me please
Answer
X= 8 i answered it as fast as possible
Ashley just lit a new candle and then let it burn all the way down to nothing. Let LL represent the length of the candle remaining unburned, in inches, tt hours after candle was lit. A graph of LL is shown below. Write an equation for LL then state the slope of the graph and determine its interpretation in the context of the problem.
Answer:
I didn’t mean to click
Step-by-step explanation:
I can’t click off now sorry
Answer:
I'm also solving this out from delta math
Step-by-step explanation:
sorry for not giving you a answer >_<
x - y = 1 in slope intercept form
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
x - y = 1 ( add y to both sides )
x = y + 1 ( subtract 1 from both sides )
x - 1 = y , that is
y = x - 1 ← in slope- intercept form
I am doing Freshman Football and this is my first game I actually get to play. This is my first year and I am the return man. What should I do?
Answer:
you should get off the team
Step-by-step explanation:
cuz you do not know what to do
Answer:
honestly stay if you think you can do it
Step-by-step explanation:
don't do it if you don't want to
Four of you go to an arcade. The owner charges you $6 for 2 hours to play and $2 for each
additional hour. If you paid a total of $10, how long did you play?
Answer:
the answer is 4 hours
Answer:
3 hours
Step-by-step explanation:
Since you payed 10 dollars you would take out $6 first then divide 4 by 2 which gives you two so two plus the first hour gives you 3 hours
In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer:
She used an average of (115/30) gigabytes of data per day
Step-by-step explanation:
To get the average data usage per day, we simply divide the total data used by the number of days
Mathematically, that will be
115 gigabytes/ 30 days = 3.83 gigabytes per day
Noah ordered 16 cupcakes and paid $40. Jada ordered 52 cupcakes and paid $104. Did they pay the same rate? Use ratio table to help your reason. Explain your reasoning.
Answer:
yes
Step-by-step explanation:
Please help!! x squared = 36/64
Answer:
6/8
Step-by-step explanation:
x^2=36/64
x=√36/√64
x=6/8
Chucky grabbed 111111 items in the grocery store that each had a different price and had a mean cost of about \$4.44$4.44dollar sign, 4, point, 44. On his way to the register, he gave in to an impulse to add a 12^\text{th}12 th 12, start superscript, start text, t, h, end text, end superscript item: an entire wheel of cheese that cost \$39.99$39.99dollar sign, 39, point, 99. [Show data] How will adding the wheel of cheese affect the mean and median? Choose 1 answer:
Answer:
[tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]B[/tex] = Both the mean and median will increase, but the mean will increase by more than the median
- written in [tex]2/5/2021[/tex]
What is the slope of the line represented by the equation 5 =10x −15
Answer:
m=2
Step-by-step explanation:
y=mx+b
5y=10x-15 dived all by 5
y=2x-3----------2 is the slope
y=mx+b
multiply (2x – 3)(x2 – 5x + 3)
Answer:
(2x2- 10x2+ 6x -3x2 + 15x -9) simplified to (-12x2+21x-9)
Step-by-step explanation:
I could explain but you would just be confused because I did it in my head and I don't do it the way they teach us to if you want to make sure my answer is right you should be able to simplify my simplified version back into the original problem
what is 48020000 in sintiic notation
Answer:
4.802 x 10^7
Step-by-step explanation:
Hope this helps! :)
If this wasn't what you were looking for please don't hesitate to comment again. Have a nice day/night! :)
Answer:
4.802 x 10 power of 7
Step-by-step explanation:
i did this so i know
a newspaper charges $4 per line for the first three lines in addition to the $30 fee to advertise
and what is the symbol next to the f?
Answer:
4 dollar for the first 3 lines
Step-by-step explanation:
-4/5(-8x+6)=1+7 Please Help
Answer:
x = 2
Step-by-step explanation:
-4/5(-8x + 6) = 1 + 7 (distribute first)
6.4x -4.8 = 8 (add 4.8 on both sides)
6.4x = 12.8 (divide by 6.4)
x = 2
PLUG IN
-4/5(-8(2) + 6) = 1 + 7
-4/5(-16 + 6) = 8
-4/5(-10) = 8
8 = 8
Solve x – 1 – 5 = 2.
Answer:
x = 8
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
x-1-5=2
first you add 6 to 2 then you get x=8
Which of the following equations is nonlinear?
y = 3
y = 8x - 1
y = 5x
y = 5x3
Answer:
D)y=5x³
Answer:
y = 5x^3
Step-by-step explanation:
If there is an exponent other than 1 on a variable, then it is not linear.
Answer: y = 5x^3 since the exponent on x is 3.
The diagram shows a right-angled triangle.
13 cm
24°
hcm
What is the value of h?
qive your answer correct to 1 decimal place.
Answer:
11.9cm
Step-by-step explanation:
cos = adj/hyp
cos 24°= hcm/ 13cm
13 cos 24°= h
11.88= h
11.9 cm
What is the slope of the line?
Answer:
7/4
Step-by-step explanation:
For every 7 that y increases, x increases by 4.
If you travel 235.6 miles on vacation, how many kilometers is this? (1 mile = 1,609 meters)
Answer:
About 379 kilometers
Step-by-step explanation:
1609 meters / mile = 1.609 kilometers / mile
1.609 kilometers / mile * 235.6 miles = 379.0804 kilometers
Solve the system of linear equations. 4x + 6y = 12 x + 2y = 10 The solution is
Answer:
x = -18, y = 14
Step-by-step explanation:
4x + 6y = 12
x + 2y = 10
Divide both sides of the first equation by 2. Write the second equation below it.
2x + 3y = 6
x + 2y = 10
Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations eliminating x.
2x + 3y = 6
(+) -2x - 4y = -20
-------------------------
-y = -14
y = 14
Substitute 14 for y in the second equation and solve for x.
x + 2y = 10
x + 2(14) = 10
x + 28 = 10
x = -18
Solution: x = -18, y = 14
Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per hour is less than the amount Hamish earns per hour. How much does each of them earn per hour? A. Hamish earns $18 per hour, and Harry earns $23 per hour. B. Hamish earns $19 per hour, and Harry earns $24 per hour. C. Hamish earns $21 per hour, and Harry earns $25 per hour. D. Hamish earns $20 per hour, and Harry earns $26 per hour.
Answer:
D. Hamish earns $20 per hour, and Harry earns $26 per hour.
Step-by-step explanation:
Hamish and Harry work as plumbers. Harry earns a dollar more than 5/4 the amount Hamish earns per hour. The amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour. How much does each of them earn per hour?
Hamish earnings per hour = x
Harry earnings = 1 + 5/4x
The amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
Harry also earns = 7/5x - 2
Equate both Harry's earnings
1 + 5/4x = 7/5x - 2
Collect like terms
1 + 2 = 7/5x - 5/4x
3 = 28x-25x/20
3 = 3/20x
Divide both sides by 3/20
x = 3 ÷ 3/20
= 3 × 20/3
x = 20
Hamish earnings per hour = x
= $20
Substitute Harry's earnings into 7/5x - 2
= 7/5 × 20 - 2
= 28 - 2
= 26
Harry's earnings = $26
D. Hamish earns $20 per hour, and Harry earns $26 per hour.
The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 7 days. About what percentage of births would be expected to occur within 7 days of the mean pregnancy length
Answer:
68.268%.
Step-by-step explanation:
Let \mu be the mean pregnancy length.
The given standard deviation, [tex]\sigma=7[/tex] days
The z-score:
z=\frac{x-\mu}{\sigma}
where x is any pregnancy length.
The range of x within 7 days of the mean pregnancy length is
[tex]\mu-7<x<\mu+7.[/tex]
z-score for this range is:
[tex]\frac{\mu-7-\mu}{\sigma}<z<\frac{\mu+7-\mu}{\sigma}[/tex]
[tex]\Rightarrow -1<z<1[/tex]
So, the area on the normally distributed curve for the above range of z-score will give the expected percentage of birds to occur within 7 days of the mean pregnancy length.
Now, from the z-score table:
The area from [tex]z = -\infty[/tex] to z=1 is 0.84134
and the area from [tex]z = -\infty[/tex] to z=-1 is 0.15866.
So, the area for -1<z<1
=0.84134 - 0.15866
=0.68268
Hence, the percentage of births would be expected to occur within 7 days of the mean pregnancy length=68.268%.