Answer:
Part A: y = $250 + $45x
Part B: U = y * 0.75 or U = ($250 + $45x) * 0.75
Part C: $390
Step-by-step explanation:
Part A: In this scenario, we have fixed costs for the treatment and two variables, one of which is the number of appointments which is represented by the letter x and the total amount of costs which is represented by the letter y in the following equation...
y = $250 + $45x
Part B: Now we have the equation for the total cost we can update it to add the 25% discount. Since this is a discount it means that it is being subtracted from the 100% original price. Therefore, we need to multiply the total cost by the decimal form of 75% (100 - 25) which we can get by dividing the percentage by 100 like, which gives us 0.75. Now we multiply this value by the total cost in order to get the updated cost (U).
U = y * 0.75 or U = ($250 + $45x) * 0.75
Part C: Now we can substitute the number of appointments variable (x) by 6 and solve for U.
U = ($250 + $45x) * 0.75
U = ($250 + $45(6)) * 0.75
U = ($250 + $270) * 0.75
U = $520 * 0.75
U = $390
3,910 Divided 25? i need help
Answer:
156.4 would be your answer
Step-by-step explanation:
3,910/25
15.6
Russ has a car that averages 9.8 miles per gallon. Mike's car averages 39.2 miles per gallon. How many times more miles per gallon does Mike's car averages than Russ' s car?
Answer:
4 times
Step-by-step explanation:
This is calculated by putting them in a ratio
Russ's car : Mike's car
9.8 miles per gallon : 39.2 miles per gallon
Converting to fraction
= 9.8/39.2
= 1/4
Hence, we have the ratio:
1 : 4
Hence, Mike's car averages Russ's car 4 times more in miles per gallon
Nathan has a $5 gift card to download Pokemon games. The function m =
-0.5d + 5 represents the amount of money m that remains on the card
after a certain number of games, d, are downloaded. Find the zero and
explain what it means.*
Nathan can download 9 games and have some money left on the card
Nathan can download 10 games and have $0 left on the card
Nathan can download 15 games and have some money left on the card
Nathan can download 20 games and have $0 left on the card
Answer:
B. Nathan can download 10 games and have $0 left on the cardStep-by-step explanation:
Function given
m = -0,5d + 5Each game costs $0.5 so 10 games cost 10*0.5 = $5
m = -0.5*10 + 5m = -5 + 5m = 0Therefore when 10 games downloaded, no money is left on the card.
Correct choice is: B
Are the expressions (3^4)^4 and 3^8 x 3^8 equivalent? I need help ASAP
Answer:
yes
Step-by-step explanation:
(3^4)^4
this is the same as 3^(4x4)
3^16
3^8x3^8
since they are the same base just add the exponent to get
3^16
Four brothers received the same amount of money to go to the movies. Each boy spent $16. Afterward, the boys had $48 altogether. Write an equation that represents the amount of money m each brother received.
Answer:
Equation is: 4(x - 16) = 48
Amount each received = $28
Step-by-step explanation:
We are told that the foot brothers received the same amount of money to go to the movies.
Let's say they each receive "x" in amount.
Which means total amount is;
x + x + x + x
Now,we are told that each boy spent $16.
Thus,amount left after spending is;
(x - 16) + (x - 16) + (x - 16) + (x - 16) = 4(x - 16)
We are told this amount after spending was $48 altogether. Therefore;
4(x - 16) = 48
Divide both sides by 4 to get;
x - 16 = 48/4
x = 16 + 12
x = $28
The perimeter of a triangle is
17
x
−
5
units. One side is
3
x
+
5
units and another is
8
x
−
3
units. How many units long is the third side?
Answer:
[tex]Side\ 3 = 6x - 7[/tex]
Step-by-step explanation:
Given
[tex]Perimeter = 17x - 5[/tex]
[tex]Side\ 1 = 3x + 5[/tex]
[tex]Side\ 2 = 8x - 3[/tex]
Required
Determine the length of the third side
The perimeter of a triangle is calculated as thus:
[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]
Substitute values for Perimeter, Side 1 and Side 2
[tex]17x - 5 = 3x + 5 + 8x - 3 + Side\ 3[/tex]
Collect Like Terms
[tex]17x - 5 = 3x + 8x + 5 - 3 + Side\ 3[/tex]
[tex]17x - 5 = 11x + 2 + Side\ 3[/tex]
Solve for Side 3
[tex]Side\ 3 = 17x - 11x - 5 - 2[/tex]
[tex]Side\ 3 = 6x - 7[/tex]
Hence, the length of the third side is 6x - 7 units
Find the slope of the line described by 2x − 5y = −10.
Answer:
2/5 is the slope
Step-by-step explanation:
Answer: y= [tex]\frac{2}{5}x + 2[/tex] would be the equation the slope would be 2/5x
Help me plsssszzzzzzzzzzzzzzzzzzz
A movie theater offers 30% off the price of a movie ticket to students from your school. The regular price of a movie ticket is $8.50. what is the discounted price that you would pay for a ticket?
Answer:
$5.95
Step-by-step explanation:
To get the discounted price, we need to find how much is taken off from the regular price.
x/8.50=30/100
30×8.50=255
255/100=2.55
$2.55
Next, we need to subtract $2.55 from $8.50 to get the discounted price.
8.50-2.55=5.95
$5.95
$5.95 is the discounted price.
I hope this helped! :)
Answer: 5.95 dollars
Step-by-step explanation:
I NEED HELP ASAP! Solve for x.
Answer:
3
Step-by-step explanation:
A card is drawn at random from a well shuffled pack of 52 cards. What is the probability that the card is neither a spade nor a jack?
Answer:
Okay, So neither a spade nor a jack.
Total no. of cards in adeck =52
Number of spades =13
Total number of non-spades out of 52 cards =52−13=39
Number of jack out of 52 cards =4
Number of jack in each of three suits namely hearts, diamonds and clubs = 3
[Since, 1 jack is already included in the 13 spades so, here we will take number of jacks is 3 ]
Neither a spade nor a jack =39−3=36 cards in total.
Therefore, probability of getting ‘neither a spade nor a jack’=
NumberoffavorableoutcomesTotalnumberofpossibleoutcome
=(362)/(522)
=630/1326=105/221
Step-by-step explanation:
I hoped i helped i might have put to much but there u go!!
SOMEONE HELP IM BEING TIMED I WILL GIVE BRAINLIEST 6TH GRADE MATH
Answer:
its a
Step-by-step explanation:
HELP PLEASEEE I NEED ANSWER RN.
Answer:
The first answer.
Step-by-step explanation:
-4, .075, 2.23, and 3. All you really needed was to know the square root of 5
please help find the area (not cm) i’ll give brainliest
Answer
4.5 centimeters2
Step-by-step explanation:
Answer: 4.5
Step-by-step explanation: To find area, you must multiply the length and width. 3 x 1.5 = 4.5 Hope this helps!
What is the equation of a line that passes through (-10,3) and is parallel to y =2x+9?
Answer:
-2/3.
Step-by-step explanation:
Answer:
y = 2x + 23Step-by-step explanation:
Given
Line y = 2x + 9Parallel line has same slope
y = 2x + bFinding b using the given point (-10, 3)
3 = 2(-10) + b3 = -20 + b3 + 20 = bb = 23So the line is:
y = 2x + 23Vocabulary How do you know if an equation represents a proportional relationship?
Use the drop-down menu to show your answer.
If an equation can be written in the form
Choose...
, then it shows a proportional relationship.
Answer:
Y = kx
I did the test and got it right, so this is it.
Write an equation in slope intercept form of the line that passes through the given point
and has the given slope.
(-3,2), m = -3
Answer:
y=mx+b 2=(-3)(-3)+b
2=9+b -7=b
What's the common denominator of 2/3 and 4/9
Answer:
Um, no lo sé, lo siento, solo necesito los puntos
Step-by-step explanation:
Um, no lo sé, lo siento, solo necesito los puntos
Answer:
9
Step-by-step explanation:
common denominator of 2/3 and 4/9
9 is the answer
Hey, Could any of you provide me a step by step explanation as to how you get to the answer?
(The step by step explanation is what I need most but please don't forget the answer)!
Answer:
Step-by-step explanation:
First start by finding the values of the numbers being multiplied together.
5^-2 = 25
This equals a positive 25 because when ever you multiply a negative by a negative it always equals a positive number. -5 x -5 = 25
[tex]\sqrt[3]{8}[/tex] = 2
This is asking what x what x what equals eight. Remembering that the square root of 4 is 2. We can determine that since 4 x 2 = 8 the cube root of 8 is 2.
2 x 2 x 2 = 8 and 8 divided by 2 divided by 2 = 2
So now solve the equation we have now. 25 x 2 =?
25 x 2 = 50
And 50 is our answer.
Kelsey owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Kelsey charges for a bike rental that lasts x hours?
Answer:
y=10+4x
Step-by-step explanation:
Factor: x^2 - 5x - 24
• (X-5)(x-3)
• (x+8)(x-3)
•(x+3)(x-8)
• not factorable
Peter's paint company made the same number of gallons of paint on Monday, Tuesday, and Wednesday. On Thursday, they made twice as many as any of the previous days. If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday
Answer:
Peter's company uses on:
Monday = 4 gallons
Tuesday = 4 gallons
Wednesday = 4 gallons
Thursday = 8 gallons
Step-by-step explanation:
If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday
Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x
On Thursday, they made twice as many as any of the previous days.
= 2x
Hence:
x + x + x + 2x = 20 gallons
5x = 20 gallons
x = 20 gallons/5
x = 4 gallons
Note that:
Thursday = 2x
Hence, = 2 × 4 gallons = 8 gallons
Hence, Peter's company uses on:
Monday = 4 gallons
Tuesday = 4 gallons
Wednesday = 4 gallons
Thursday = 8 gallons
If you drive 70 miles per hour for 8 hours how far can you drive
Answer:
You could travel 560 miles.
Step-by-step explanation:
To find out the answer you need to multiply 70 by 8.
70 × 8= 560
You are skiing down a mountain with a vertical height of 1200 feet. The distance that you ski as you go from the top down to the base of the mountain is 2900 feet. Find the angle of elevation from the base to the top of the mountain.
Answer:
24.44°
Step-by-step explanation:
The set up will give a right angled triangle.
Given
The length of the hill (hypotenuse) = 2900feet
Vertical height (opposite) = 1200feet(That side is opposite the angle of elevation)
According to SOH;
sin theta = opp/hyp
Sin theta = 1200/2900
Sin theta = 12/29
Sin theta= 0.4138
theta= arcsin(0.4138)
theta = 24.44°
Hence the angle of elevation from the base to the top of the mountain is 24.44°
PLEASE HELP I HAVE A TEST!!A function predicts the number of household online-
devices in the average United States household. Which
domain would be the most appropriate set to use for
this function
Integers
Whole numbers
Rational Numbers
Irrational Number
Answer:
whole numbers probably
this is the third one. to the person that is helping me, thank you so much.
Answer:
B is the answer.
First you do 38.25 divided by 3 and you get 12.75, And option B is 12.75
James has $11. Suppose the function f (x ) = 1.25x + 4 represents the cost to rent x video games each month. How many more dollars will James need to rent 9 video games next month? *
Answer:
$4.25
Step-by-step explanation:
First, find the cost to rent 9 video games by plugging in 9 as x:
f(x) = 1.25x + 4
f(9) = 1.25(9) + 4
f(9) = 15.25
So, it will cost $15.25. Since James already has $11, we can find how many more dollars he will need by subtracting 11 from 15.25:
15.25 - 11
= 4.25
So, James will need $4.25 more dollars
Answer:
$4.25 more dollars
Step-by-step explanation:
f(x)=1.25x+4
James wants 9 video games, so 9 would be x
1.25(9) = 11.25
then you add the fixed cost of 4
11.25+4 = 15.25
He has $11, so 15.25 - 11 = 4.25
Meaning he needs $4.25 more dollar to rent 9 video games
Choose the correct answer.
1. What is the equation of a line that passes
through the origin and intersects (4, 6)?
A. y = -3/2x
B. y = -2/3x
C. y = 2/3x
D. y = 3/2x
Answer:
The equation of the line is y = [tex]\frac{3}{2}[/tex] x ⇒ D
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through the origin (0, 0) and point (4, 6)
∴ x1 = 0 and y1 = 0
∴ x2 = 4 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{6-0}{4-0}=\frac{6}{4}=\frac{3}{2}[/tex]
∴ m = [tex]\frac{3}{2}[/tex]
→ Substitute it in the form of the equation above
∴ y = [tex]\frac{3}{2}[/tex] x + b
∵ The line passes through the origin
∴ The y-intercept = 0
∴ b = 0
→ Substitute it in the equation
∵ y = [tex]\frac{3}{2}[/tex] x + 0
∴ y = [tex]\frac{3}{2}[/tex] x
∴ The equation of the line is y = [tex]\frac{3}{2}[/tex] x
Which steps show how to use the distributive property to evaluate 6 times 49
A. 6(49) = 6(50-1) = 6.50 6.1 300
B. 6(49) = 6(50
1) 6.50
1 300
1299
C. 6(49)=6150 - 16.30
D. 6(19) =6150
1) = 6 to
500 1300 300
Answer:
294
Step-by-step explanation:
The distributive property for multiplication is as follows :
a(b+c) = ab + ac
We need to evaluate 6 times 49 i.e. 6(49).
We can write 49 as (50-1)
6(50-1) = 6(50+(-1))
Here, a = 6, b = 50 and c = -1
So,
6(50+(-1)) = 6(50) + 6(-1)
= 300-6
= 294
So, answer is 294. Option (A) is somehow correct.
Are the ratios 19:10 and 2:1 equivalent?
Answer: No, they are not.
Step-by-step explanation: