Answer:
a. The situation is discrete for the domain and continuous for the range.
b. i. 651 ≤ x ≤ 812. ii. $ 195.3 ≤ x ≤ $ 243.6.
Step-by-step explanation:
a. This is because we can only have a whole number of students which in turn leads to a whole number of candies. Also, since the cost of each candy box is $ 3/10 = $ 0.3, it is a real number. So, the total cost of candy will also be a real number. Thus, the situation is discrete for the domain and continuous for the range.
b. i. Let x be the number of students which also equals number of candies to be bought. Since there are 7 teams and between 93 and 116 students per team, the minimum number of students is 93 × 7 = 651 and the maximum number of students is 116 × 7 = 812. So, the domain, the number of candies is 651 ≤ x ≤ 812.
ii. The range of the function is the cost of the candies. Since the cost of the candies is $ 3 per box and there are 10 per box, each candy costs $ 3/10 = $ 0.3. So the total cost of candies C = cost per candy × number of students = $0.3x.
So, the range of the candies is the minimum and maximum values of students times $ 0.3. So, 651 × $ 0.3 ≤ x ≤ 812 × $ 0.3 = $ 195.3 ≤ x ≤ $ 243.6
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
a carton of orange juice contains 540ml a special offer carton contains an extra 35% how many millilitres are in the special offer carton?
The carton contains 729 mL.
What is the Fraction?Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
How to solve it?We have.
540mL x .35 = 189 mL
189 mL + 540 mL = 729 mL
The carton contains 729 mL.
Learn more about Fractions:
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16. A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel?
What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]
A. 105x + 90
B. 105x
C. 45x + 90
D. 60x
Answer:
The equation representing the total distance would be A. 105x + 90.
The time the truck has travelled would be 8 hours while the time traveled by the train would be 6 hours.
Step-by-step explanation:
Firstly, let's set the time travelled by the train to be x hours.
According to the question, the equation would be 45(x + 2) = 60x, because the truck has travelled 2 more hours than the train.
Hence:
[tex]45(x + 2) = 60x[/tex]
[tex]45x + 90 = 60x[/tex]
[tex]90 = 60x - 45x[/tex]
[tex]15x = 90[/tex]
[tex]x = 6[/tex]
Therefore, the truck has travelled a total of (6 + 2) hours = 8 hours, and the train has travelled for 6 hours.
Also, the equation can be found by adding both equations up:
[tex]45(x + 2) + 60x[/tex]
[tex]= 45x + 90 + 60x[/tex]
[tex]= 105x + 90[/tex]
Hope this helped!
what are ratios that are equivalent to 16:12
Answer:
20:15, 24:18, 28:21, etc.
Step-by-step explanation:
Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.
Answer:
4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.
Step-by-step explanation:
The denominators are all multiples of 3 and the numerators are multiples of 4.
Hey guys happy holidays! any help is appreciated :)
Answer:
Nope
Step-by-step explanation:
The reason for this is that if it was rotated 180º, it would mean that the triangle was in QIII.
***And have a nice winter break!!!! ;***
The produce department of a grocery store sold 288 pounds of tomatoes. The rest spoiled and had to be discarded. The amount that spoiled represented 28% of the shipment the store received. How many pounds of tomatoes were originally received?
Will mark brainliest
Answer:
369
Step-by-step explanation:
28% 0f 288=80.64
228lbs sold + 80.64(Round off) =81 = spoiled =369
What is the x intercept
Answer:
The x intercept is 3
Step-by-step explanation:
Because that is where it hits the x axis
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)
Answer:
Thes slope is -4/ -7
Step-by-step explanation:
You use the equation Y2 - Y1 / X2 - X1
So this would look like this: -3 -1 / 0 - 7 when you plugin the numbers
So when you do the math, you're left with -4 / -7, which is the slope
Answer:
slope: 4/7
Step-by-step explanation:
Write this equation in slope-intercept form.
6X-3Y=18
Answer:
y=2x-6
Step-by-step explanation:
subtract 6x from each side. divide each side by -3.
What is the equation of the line that passes through the point (-5, 7) and has a slope of -2/5?
Answer:
I hope that it will be help full for u
Step-by-step explanation:
As we know the equation of line is ,
y= mx+ cAs given
slope=m=-2/5
also given (x, y)= (-5, 7)
we get x=-5 , y=7
putt in the equation of line all these values we get ,
7=(-2/5)(-5) +c
c=7-2
c=5 now putt the value of c and m in equation of line we will get ,required equation of line
y = (-2/5)x + 5 Ans
Using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.
What is slope intercept form?
The equation of the "straight line is in the form y = mx + b where 'm' is the slope of the line, 'b' is the y - intercept form" is called slope intercept form.
According to the question,
The line passes through the point (-5,7) and has slope of -2/5,
The equation of the straight line y = m x + c. Substitute (-5,7) and slope -2/5 in general equation we have 7 = -2/5 (-5) + c
7 = 2 + c
c = 7-2
c = 5
Hence, using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.
Learn more about slope intercept form here
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Which ones have a relationship with functions
Answer:
b. Yes
c. No
d. No
e. Yes
Step-by-step explanation:
hope this helped
Answer:
b no
c no
d yes
e yes
Step-by-step explanation:
there can not be 2 of the same x's but there can be 2 of the same y's
ANSWER THIS URGENTLY PLEASE !!!!
A company decides to drain the water heater to flush out sediments. The water heater has a capacity of 500 gallons. It drains 100 gallons in
20 minutes. After 20 minutes, they open another drain valve and it drains 200 gallons in the next 20 minutes. The drain valves are closed for
10 minutes, while the workers take a break and then the water heater is drained until the water heater is completely empty.
What are the domain and the range of this relation?
Answer:
0<x<70
0<y<500
Step-by-step explanation:
The range is the values horizontally (up to down)
The domain is the values vertically (left to right)
Answer:
0 ≤ x ≤ 70
0 ≤ y ≤ 500
Step-by-step explanation:
By the ways, 0 ≤ y ≤ 70 and 0 ≤ x ≤ 500 look similar BUT not the right answer, so be careful.
What does 9+10 equal?
Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
Given:
Point is T(-3,8).
To find:
The coordinates of T' after [tex]R(y-axis)\circ R(x-axis)[/tex].
Solution:
We know that, [tex]R(y-axis)\circ R(x-axis)[/tex] means the figure reflected across the x-axis then reflected across y-axis.
If a figure reflected across x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]T(-3,8)\to T_1(-3,-8)[/tex]
If a figure reflected across y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]T_1(-3,-8)\to T'(-(-3),-8)[/tex]
[tex]T_1(-3,-8)\to T'(3,-8)[/tex]
Therefore, the required point is T'(3,-8).
please help i will mark brainliest
Answer:
6/11
Step-by-step explanation:
Which of the following inequalities matches the graph? (1 point)
Answer: 2x + y < 7
Step-by-step explanation:
In the graph we can see that:
The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:
y < a*x + b
We also can see that the slope of the line is negative, and that the y-intercept is +7
Then the inequality will be something like:
y < a*x + 7
Now we can see that the line passes through the points (0, 7) and (3, 1)
Then the slope will be:
a = (1 - 7)/(3 - 0) = -6/3 = -2
that is negative, as we already said.
Then we have:
y < -2*x + 7
we can rewrite this as:
2x + y < 7
This is the first solution shown.
What is the length of AE
28=−4x+5−x−2
what is X?
Answer:
X= -5
Step-by-step explanation:
Helppp I’ll mark you as brainlister you
Answer:
[tex]\triangle KLM \sim \triangle GFH[/tex]
Step-by-step explanation:
In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].
Help. Will give brainliest :)
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answer:
18 inches!
Step-by-step explanation:
Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)
hope this helped!
30. One segment of the Mayan civilization started in 300 B.C.E. and ended in 250 C.E. How long did that segment of the Mayan civilization last?
A. 50 years
B. 300 years
C. 250 years
D. 550 years
Answer:
D. 550 years
Step-by-step explanation:
Firstly, you need to understand the meaning of B.C.E. and C.E. B.C.E. means "Before common era", where "common era" is the year where Jesus Christ was born (I will just call it "The Year" since the name is so long). The date has been used as a dating system for many years.
In this case, 300 B.C.E. means 300 years before "The Year" whereas 250 C.E. means 250 years after "The Year". Thus, the total would be:
300 + 250 = 550 years
what is the slope of the line passing through the points (4,3) and (1,-2
Answer:
8/5
Step-by-step explanation:
The figures are similar
Answer:
x is 10
Step-by-step explanation:
9+6=15 4+6=10
(MARKING BRAINLIEST)Which of these is the most helpful first step for solving Frank's equation, 2x+28=40?
A. Multiply both sides by 2
B. Subtract 28 from both sides
C. Divide both sides by 2
D. add 28 to both sides
Please help me out!!
Answer: C or B
Step-by-step explanation:
Answer:
its the first answer
Step-by-step explanation:
Brandon and his son went fishing. Brandon caught 3 3/4 kg of fish while his son caught 2 1/5 kg of fish. What is the total weight of the fishes that they caught?
Answer:
5 19/20
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
5 19/20
Step-by-step explanation:
Line t has an equation of y = x + 2. Line u is parallel to line t and passes through
(10, 4). What is the equation of line u?
Answer:
y=x-6
Step-by-step explanation:
can someone help please??
Find the volume of this solid
Answer:
42.39in^3
Step-by-step explanation:
half of 3= 1.5
Which 1.5 would be our radius. (r)
V= pi(3.14) x r^2 x h (VOLUME FORMULA FOR CYLINDER)
V= (3.14) x 1.5^2 x 6
V= (3.14) x 2.25 x 6
V= 42.39in^3
An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.
Answer:
x² + 12
48m²
Step-by-step explanation:
Find the diagram attached.
The room can be segregated into two rectangles
The area of the room = Area of bottom rectangle + area of the top rectangle
Area of the bottom rectangle = x * (x-3) = x² - 3x
Area of the top rectangle = 3* (4+x) = 12 + 3x
The area of the room = x² - 3x + 12 + 3x
Area of the room = x² + 12
Hence the algebraic expression that the architect can use to find the area of the room is x² + 12
Given x = 6m
The area of the room = x² + 12
The area of the room = 6² + 12
The area of the room = 36 + 12
The area of the room = 48m²