Answer:
C. 1
Step-by-step explanation:
f(2) simply means x = 2.
We are trying to find the y-value when x = 2.
According to the graph, when x = 2, y = 1.
Therefore, f(2) = 1.
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Chloe's birthday.
Answer:
C=-3t+30
Step-by-step explanation:
The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
Answer:
a. The equation is y = 19 x
b. The height of 13 DVD cases is 247 mm
Step-by-step explanation:
- A proportional relationship is about two quantities vary directly with
each other
- Ex: If y proportion to x, then y is varies directly with x
That means y ∝ x ⇒ y = k x, where k is the constant of variation
- The height of a stack of DVD case is proportional to the number of
case in the stack
- That means the height of DVD cases varies with the number of cases
- The height of 6 DVD case is 114 mm
a.
∵ The number of cases = x
∵ The height of the cases = y
∴ y ∝ x
∴ y = k x
- To find k lets use the first information above
∵ y = 114 mm when x = 6
- Substitute these values in the equation above to find k
∵ 114 = 6 k
- Divide both sides by 6
∴ k = 19
- Substitute the value of k in the equation above
∴ y = 19 x
* The equation is y = 19 x
b.
- We need to find the height of 13 DVD cases
∵ y = 19 x
∵ x = 13
- Substitute the value of x in the equation
∴ y = 19 × 13
∴ y = 247 mm
* The height of 13 DVD cases is 247 mm
The height will be 143 mm for a stack of 13 DVD cases.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The overall height of the 8 cases stacked on top of each other is 88 mm.
Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):
⇒ 88/ 8 = 13
⇒ 88 ÷ 8 = 13
Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:
11 × 13= 143
Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.
To learn more about the constant of proportionality here:
https://brainly.com/question/17302514
#SPJ2
The question seems to be incomplete the correct question would be:
The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
The height of the 8 cases stacked on top of each other is 88 mm.
Help please I’lol really appreciate it
Answer:
j+z+12
Step-by-step explanation:
The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters, what is the height?
Answer:
7 cmStep-by-step explanation:
Given:Volume of a rectangular prism ( V ) = 504 [tex]\sf{ cm^{3} }[/tex]
Length of a rectangular prism ( l ) = 9 cm
Width of a rectangular prism ( w ) = 8 cm
To find:Height of a rectangular prism ( h ) = ?
Volume of a rectangle = lwh[tex]\dashrightarrow[/tex] 504 = 9 * 8 * h
[tex]\dashrightarrow[/tex] 504 = 72 h
[tex]\dashrightarrow[/tex] 72h = 504
[tex]\dashrightarrow[/tex] h = [tex]\frac{504}{72}[/tex]
[tex]\dashrightarrow[/tex] h = 7 cm
The height of a rectangular prism is 7 cm.
Hope I helped!
Best regards!
~TheAnimeGirl
The height is 7 cm of the rectangular prism whose volume is 504 cm³.
What is a rectangular prism?A rectangular prism is a solid three-dimensional structure with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.
Given, The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters.
From the general formula of the rectangular prism
Volume = length *width *height
Substituting the data given above
504 = 9 * 8 * height
Height = 7 cm
Therefore, the Height of the rectangular prism is 7 cm.
Learn more about rectangular prism here:
https://brainly.com/question/29753475
#SPJ2
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 70ft . and the width is 16ft .
Answer:
Step-by-step explanation:
Givens
P = 2*L + 2*W
P = 70
w = 16
Solution
70 = 2L + 2*16
70 = 2L + 32
70-32 = 2L
38 = 2L
38/2 = 2L/2
L = 19
A farmer paid $500 per month for deliveries over 10 months. For the other 2 months of the year, he paid $600 per
month. Which numerical expression can be used to find the total the farmer paid for deliveries this year?
Answer:
500(10) + 600(2)
Step-by-step explanation:
Solve for r.
19.72 = 4r
Answer: R = 4.93
Step-by-step explanation:
19.72/4 = 4.93
sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
HELPP ME PLEASEEE
ill give brainiest to whoever answers first
Answer:
the answer is d
Step-by-step explanation:
it would be 9.7 x 10^3
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
Javier has a cell phone plan that allows him to use up to 4 gigabytes (GB) of data per month. Streaming videos is the only action he does on his phone that uses up this data. Each time he streams a video, the number of gigabytes of his phone's data plan dec
Answer:
d=4-0.004m
Step-by-step explanation:
i did it on khan academy
Alice drove 170 miles in 2.5 hours. At this rate, how far will she drive in 4 hours? miles
Answer:
She will drive 272 miles in 4 hours.
Step-by-step explanation:
Six students are working to simplify the expression shown 4y+13x-5+6y-x
Answer:12x+10y-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
how many times 92 go in too 100
Answer:
5
Step-by-step explanation:
Answer:
1 time
Step-by-step explanation:
A high school class wants to make atleast $1500 by hosting a dance. The class knows that hey will make $500 in refreshments.
If the class sells tickets for $5 what’s the inequality to determine the number of tickets the class would need to sell to make at least $1500.
And determine the number of ticket the class would need to sell to make $1500
Answer:
1000=5x
Step-by-step explanation:
200 tickets
200*5 is 1000. 1000+500 is 1500
Write an equation in point-slop form that
goes through the points (5, 7) and (-1, 3).
Answer:
y−7=2/3⋅(x-5)
Step-by-step explanation:
Find the point-slope form.
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds
Answer:
.44 repeating would be your decimal of dogs that weigh under 20 pounds.
Step-by-step explanation:
Answer:
.44
Step-by-step explanation:
what is 2 to the power of 8 minus 10 minus 15 divided by 3
Answer:
241
Step-by-step explanation:
241
Answer:
241
Step-by-step explanation:
2^8 - 10 -15 / 3
256 - 10 - 15 / 3
256 - 10 - 5
246 - 5
241
Hope this helps!
Question 5 of 10 If f(x) = 4x - 12, what is f(2)? h O A. -20 O B. 8 O c. -4 O D. 4 SUE
Answer:
-4
Step-by-step explanation:
a mercury thermometer records a temperature of 8 degrees fahrenheit at 10 a.m. if the temperature drops by 3 degrees fahrenheit every hour what will be the temperature by 2 p.m. of the same day
Answer:
-4 Degrees Fahrenheit
Step-by-step explanation:
Given
[tex]Initial\ Temperature = 8[/tex] ---- at 10am
[tex]Difference = -3[/tex]
Required
Determine the final temperature at 2pm
First, we need to determine the hour from 10am to 2pm (Both inclusive)
[tex]Interval = 2pm - 10am + 1hr[/tex]
[tex]Interval = 4hr + 1hr[/tex]
[tex]Interval = 5hr[/tex]
To solve further, we make use of the following Arithmetic Progression formula:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 8[/tex] --- Initial
[tex]d = -3[/tex] --- difference
[tex]n = 5[/tex] -- 5th term
[tex]T_n[/tex] --- Final temperature at 2pm
So: we have:
[tex]T_n = 8 + (5 - 1) * -3[/tex]
[tex]T_n = 8 + (4) * -3[/tex]
[tex]T_n = 8 + 4 * -3[/tex]
[tex]T_n = 8 -12[/tex]
[tex]T_n = -4[/tex]
Hence:
The temperature is -4 Degrees Fahrenheit
the quotient of a number and 15 plus 1
Answer:
The equation for this is 15÷n+1
Step-by-step explanation:
Hope this helps!
Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?
Given:
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
There are 48 blue raspberry and cherry flavored ice sticks altogether.
To find:
The total number of ice sticks.
Solution:
Let x be the total number of ice sticks.
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Blue raspberry [tex]=\dfrac{2}{5}x[/tex]
Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]
[tex]=\dfrac{3}{5}x[/tex]
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]
[tex]=\dfrac{1}{5}x[/tex]
Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]
[tex]=\dfrac{2}{5}x[/tex]
There are 48 blue raspberry and cherry flavored ice sticks altogether.
[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]
[tex]\dfrac{4}{5}x=48[/tex]
[tex]x=48\times \dfrac{5}{4}[/tex]
[tex]x=60[/tex]
Therefore, the total number of ice sticks is 60.
HELP ASAP DUE TOMORROW!!!
On a family outing, Tyler bought 5 cups of hot cocoa (x)
and 4 pretzels (y) for $18.40. Some of his family members
would like a second serving, so he went back to the same
food stand and bought another 2 cups of hot cocoa (x) and
4 pretzels (y) for $11.20.
Answers:
x = 2.40
y = 1.60
This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60
=======================================
Work Shown:
x = cost of 1 cup of hot cocoa
y = cost of 1 pretzel
5x = cost of 5 cocoas
4y = cost of 4 pretzels
5x+4y = cost of 5 cocoas+4 pretzels
5x+4y = 18.40
----------------
2x = cost of 2 cocoas
4y = cost of 4 pretzels
2x+4y = cost of 2 cocoas+4 pretzels
2x+4y = 11.20
----------------
The system of equations we have is
[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]
Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.
How? By subtracting the equations straight down
The x terms subtract to 5x-2x = 3x
The y terms subtract to 4y-4y = 0y = 0 and they go away
The right hand sides subtract to 18.40 - 11.20 = 7.20
After those three separate subtractions, we have this new equation:
3x = 7.20
Divide both sides by 3 to isolate x
3x/3 = 7.20/3
x = 2.40
Each hot cocoa costs $2.40
Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation
5x+4y = 18.40
5(2.40)+4y = 18.40
12+4y = 18.40
4y = 18.40-12
4y = 6.40
y = 6.40/4
y = 1.60
Each pretzel costs $1.60
If we picked on the second equation, we should get the same y value
Let's find out
2x+4y = 11.20
2(2.40)+4y = 11.20
4.80+4y = 11.20
4y = 11.20-4.80
4y = 6.40
y = 6.40/4
y = 1.60
We get the same result as before.
To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.
is 7.66 a rational number
Answer:
yes
Step-by-step explanation:
HELP URGENT!!!!!!!!!!!!!!!!!!!
NEEDED IN 10 MINUTES
Answer:
1. 124 degrees 2.141 degrees
3. b then a 4.b then b
Step-by-step explanation:
The right triangle ABC, shown below is reflected over the line y = -x. Where will the point C' be located?
Answer:
(4, -3)
Step-by-step explanation:
It says my answers need to be at least 20 characters long so I had to write this.
what is 4%5*7-2= to?
Solve.
5
2x+
1
2x=5
1
2+
7
2x
The value of x is
Answer:
-64
Step-by-step explanation:
The radius of the red circle is 7 units and the distance between the two circles is 3 units.
What is the diameter of the red circle?
A 8 units
B 12 units
C 14 units
D 20 units
Answer:
14
Step-by-step explanation:
The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14. Most of the information presented is unrelated.