Plums cost $0.77 per pound Mangoes cost $1.32 per pound Write an expression that can be used to find the cost of buying p pounds of plums and m pounds of mangoes
Answer:
The graphs below show the cost y of buying x pounds of fruit. One graph shows the cost of buying x pounds of peaches, and the other shows the cost of buying x pounds of plums.
Which kind of fruit costs more per pound? Explain.
Bananas cost less per pound than peaches or plums. Draw a line alongside the other graphs that might represent the cost y of buying x pounds of bananas.
IM Commentary
This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.
Solutions
Solution: Slope as Unit Rate
The graph that represents the cost of x pounds of peaches is steeper, so it must have a larger slope. The slope can be interpreted as the unit rate; in this case it tells you the cost of a single pound of fruit.
Since the slope for the peach graph is greater than the slope of the plum graph, the cost of a pound of peaches is greater than the cost of a pound of plums.
For b, students should realize that the cost per pound of bananas will be represented by a slope that is less than either of the other two, and draw a line through the origin labeled "Bananas" and lying below both of the other graphs.
Solution: Adding a scale to the graph
Students who prefer to work with specific numbers can approach this problem by sketching in a scale on the x-axis and y-axis. For example, if they decided that a pound of peaches might cost a dollar, then they might plot the point (1,1) on the line labeled "Peaches", then fill out the rest of the scale accordingly. They could then read off the cost of a pound of plums and see that it is less than for peaches.
For the second question, they could choose any price per pound b for bananas that is less than the one they read off for plums, and then draw a line from the origin through the point (b, 1), and label it "Bananas".
SI Unit is used for scientific work why?
Answer:
SI is used in most places around the world, so our use of it allows scientists from disparate regions to use a single standard in communicating scientific data without vocabulary confusion.
Multiply. Answer with a mixed number in simplest form
2 1/5 x 3 4/7
Answer:
7.85714285714
Explanation:
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Given that f(x)=4x3-12x2+10 and g(x)=x3 – 2x2 + 5x
The value of f(x)- g(x)= ax'+bx?+ cx+d. What are the values of the coefficients a,b,c,d?
Answer:
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
Step-by-step explanation:
Given functions are:
[tex]f(x) = 4x^3-12x^2+10\\g(x) = x^3-2x^2+5x[/tex]
We have to find the value of f(x) - g(x). This means we have to subtract function g(x) from function f(x)
So,
[tex]f(x) - g(x) = (4x^3-12x^2+10)-(x^3-2x^2+5x)\\= 4x^3-12x^2+10-x^3+2x^2-5x[/tex]
Combining alike terms
[tex]= 4x^3-x^3-12x^2+2x^2-5x+10\\= 3x^3-10x^2-5x+10[/tex]
Now it was given that:
f(x)- g(x)= ax^3+bx^2+ cx+d
By comparing both we get
a = 3, b = -12, c = -5, d = 10
Hence,
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
3. Use your graphing calculator to find the value of f'(0) for f(x) = cos(x) - eX. (4 points)
Answer:
-1
Step-by-step explanation:
Derivative of cos(x)=-sin(x)
Derivative of e^x=e^x
Derivative of cos(x)-e^x= - sin(x)-e^x
plug in 0 to the spots of x and you will get 1 because sin(0) is 0 e^0 is 1
0-1=-1
3983774 divided by 693.9
Answer:
5741.135
Step-by-step explanation:
Hope that helped
Answer:
5741.13561032
Step-by-step explanation:
brainliest?? just sayin
You need exactly 47 bottles of water. You don’t want to buy more than you need, but you want the least expensive way. List the best way to buy exactly 47 bottles of water.
GIVING 10 POINTS PLZ DO QUICLY
Answer: That would be 1 case + 112 pack + 16 pack + 5 singles
Step-by-step explanation:
what is the missing length???
Answer:
25
Step-by-step explanation:
144/60 = 2.4
60/2.4 = x
x = 25
help 6th grade math i will give brainliest
can yall please help me i need this now
Answer:
74
Step-by-step explanation:
i really hate math so please
Answer:
personally i think c
Step-by-step explanation:
its because for the graph there is 90 and it has a point and when i used a calc i put the points and the a=18 so 90 eould be 18 again this what i think i am not really AMAZING at it but i get some of it for ex the chart equals it only equals a=5
A river is at -150 ft below sea level. A nearby mountain has an elevation of +1350 feet. If Tina hikes from the river to the top of the mountain, how many feet has she hiked?
From the river to sea level would be -150 to 0 = 150 feet.
From sea level to the top of the mountain would be 0 to 1350 = 1350 feet.
Total feet = 150 + 1350 = 1,500 feet
An airplane traveled 108 miles in 20 minutes? How long will it take to fly 162 miles?
a
30 min
b
25 min
c
8.1min
d
35 min
omg pls help me im giving like all my points out for this
Answer:
poopy
Step-by-step explanation:
Tee Hee
Answer:
a, 30 minutes
Step-by-step explanation:
108 divided by 20 is 54
162 divided by 54 is 30
Gayla draws a rectangle. Jared then draws a different rectangle by increasing both the length and the width by 5%. Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches. Are any of the resulting rectangles scale drawings of one another? List whose rectangles, if any, and explain how you know..
1/2
Step-by-step explanation:
Second rectangle and third rectangle are resulting rectangles scale drawings of one another
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
Gayla draws a rectangle.
Second rectangle:
Jared then draws a different rectangle by increasing both the length and the width by 5%.
Third rectangle:
Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches.
Let us assume 1 inches as 1 percentage.
So second rectangle and third rectangle are resulting rectangles scale drawings of one another
Hence, second rectangle and third rectangle are resulting rectangles scale drawings of one another
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someone help simplify it
Answer:
a+11b/3
Step-by-step explanation:
Answer:
3 and 2/3b + 1a
Step-by-step explanation:
Simplifying b:
4b - 1/3b = 11/3b = 3 and 2/3b
Simplifying a:
-5a + 6a = 1a
Given the following set of data, what is the variance? [2 6 8 3 7 9 1 4]
A. 40
B. 5
C. 2.74
D. 7.5
The variance of the set { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 } is 7.5
What is Variance?
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value
Given data ,
The set S = { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 }
Step 1 :
To calculate the mean ,
Mean = Sum of Observations / Number of Observations
= ( 2 + 6 + 8 + 3 + 7 + 9 + 1 + 4 ) / 8
= 40 / 8
= 5
Step 2 :
Take each difference from mean and square it
( 2 - 5 )² = 9
( 6 - 5 )² = 1
( 8 - 5 )² = 9
( 3 - 5 )² = 4
( 7 - 5)² = 4
( 9 - 5 )² = 16
( 1 - 5 )² = 16
( 4 - 5 )² = 1
And Sum of 9 + 1 + 9 + 4 + 4 + 16 + 16 + 1 = 60
Step 3 :
Variance = The mean of squared difference
= 60 / 8
= 7.5
Hence , the variance is 7.5
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The question is Find the constant of proportionality in the graph below
Answer:
4.5
Step-by-step explanation:
Please HELP!! It’s due today
Answer:
For C all she has to do is look at the chart-
0=0
1=4
2=8
3=12
4=16
How many lemons does it take to make an orange?
Answer:
uh 4?
Step-by-step explanation:
Linda Is working at an art shop. She will be paid a daily amount plus a commission of a total sales. The equation y = .10x + 85 represents the amount Linda will make
Answer:
Income Linda make = $150
Step-by-step explanation:
Given:
y = 0.10x + 85
Assume;
Sales = $650
Find:
Income Linda make
Computation:
Income Linda make = 0.10x + 85
Income Linda make = 0.10(650) + 85
Income Linda make = 65 + 85
Income Linda make = $150
Can someone help me!
Honeydew melons are on sale at four different grocery stores. Which store
offers the lowest unit rate for honeydew melons, in dollars per pound?
$3.50
Happy Grocery:
7 pounds
.
sto
• Sullivan's:
5 pound
• Mother Nature:
$4.00
10 pounds
• Farmer's Pride: $0.45/pound
Answer:
Mother Nature
Step-by-step explanation:
Do you want one? Prolly will waste my time sorry :(
Answer:I would think c but let me check
Step-by-step explanation:
PLEASE HELP ASAP I WILL BRAINLIEST
Answer:
32 minutes and 30 seconds.
Step-by-step explanation:
3 hours = 180 minutes, plus 15 added = 195 so 195 ÷ 6 = 32.5 or 32 mins and 30 seconds
Answer:
32.5 minutes
Step-by-step explanation
60x4-45/6
Please answer quickly
Answer:
a and c I think if I'm wrong I will try again
Answer:
The first and third option. (I think)
Step-by-step explanation:
all poets are loners. All loners are taxi drivers. therefore, all poets are taxi drivers
is this valid or invalid?
Answer:valid
Step-by-step explanation:
What is this math please help ASAP
Answer:
A) A line
Step-by-step explanation:
Notice that:
x-y=4
-y=4-x
y=-4+x
y=x-4
The equation y=mx+b produces a line, so A) a line would be correct
Answer: is a line
Step-by-step explanation:
because does it have to be a line from a line
I'll mark you brainiest if you give me the correct answer.
Answer:
42b -7.5
I think that's the answer since you are getting a discount which means you are subtracting
Which ordered pair can be removed so that the resulting graph represents a function?
(–2, 2)
(1, 3)
(5, –4)
(–4, –4)
Answer:
(1,3)
Step-by-step explanation:
A triangle is translated by using the rule (X.Y) =(x-4.y+1). Which describes how the figure is moved?
2
four units left and one unit down
O four units left and one unit up
one unit right and four units down
O one unit right and four units up
Can someone check my work?
Answer:
you're correct! :)
Step-by-step explanation:
Yes it is correct dear.
Now you can make it on a graph by the solutions of the equation.
For the value of x,
[tex]9x + 3y = 15 \\ = > 9x = 15 - 3y \\ = > x = \frac{15 - 3y}{9} \\ = > x = \frac{3(5 - y)}{9} \\ = > x = \frac{5 - y}{3} [/tex]
And for value of y,
[tex]9x + 3y = 15 \\ = > 3y = 15 - 9x \\ = > y = \frac{15 - 9x}{3} \\ = > y = \frac{3(5 - 3x)}{3} \\ = > y = 5 - 3x \: \: \: or \: \: \: \\ y = - 3x + 5[/tex]
Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans. If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg? a. 1 2 hr c. 1 1 2 hrs b. 1hr d. 2 hrs
Answer: d. 2 hrs
Step-by-step explanation:
Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)
Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)
Since the plane flew at the same rate for the entire trip.
i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans
[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]
hence, the flying time for the shorter leg = 2 hours
So (d) is the correct option.