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".
Hi can you please help me
Answer:
the y-intercept is 5 the slope is 3
Step-by-step explanation:
simplify (1) ✓(125 square) -1/3. (2) (18/32)-3/2
determine which fraction is larger 3/7 or 1/3 find the common denominator
Answer:
LCM is 21[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3}{7}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3×3}{7×3}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{2}}[/tex]
.[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1}{3}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1×7}{3×7}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {7}{21}}[/tex]
____________________[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{21}}\iff {\dfrac {7}{21}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac{9}{21}} \gt {\dfrac {7}{21}}[/tex]
[tex]\therefore[/tex][tex]\sf {\dfrac {3}{7}} \gt {\dfrac {7}{21}}[/tex]
Solve the system of linear equations by substitution.
x=2y+7
3x−2y=3
solution: (
,
)
Find the area of the shape below
Answer:
????
Step-by-step explanation:
Answer:
where's the shape
Step-by-step explanation:
what's the length and width, maybe I can help
Please help I hate doing these.
Answer:
Step-by-step explanation:
a). 3 ...... 8
3 × 8 = 24
3 + 8 = 11
b). n + 1.5 = 6.5 ⇒ n = 5 (across from OR to the left from 1.5)
5 × 1.5 = 7.5 (under the X sign)
What is the answer for x?
Answer:
x = 15
Step-by-step explanation:
7x + 5x = 180 (because parallelograms are 360 degrees)
add like terms
12x = 180
divide 12 from both sides
[x = 15]
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
WILL GIVE BRAINLIEST TO CORRECT ANSWER(S)
A: What is the value of the correlation coefficient?
A: -0.93
B: 0.96
C: ±1.00
D: -0.96
E: 0.93
B: How strong is the relationship between the two data sets?
A: perfect
B: no strength
C: moderately strong
D: weak
E: very strong
If the trend continues, about how many hours would you expect a student to have studied if the student scores a 68 on the exam? Round your answer to the nearest hundredth.
A: 8.39 hours
B: 8.50 hours
C: 7.83 hours
D: 9.00 hours
E: 8.96 hours
Plz help this is was due yesterday.
Answer:
A: The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.
B: he correlation coefficient is a statistical calculation that is used to examine the relationship between two sets of data. The value of the correlation coefficient tells us about the strength and the nature of the relationship. Correlation coefficient values can range between +1.00 to -1.00.
Step-by-step explanation:
Hopefully this helped!!!
Hey can someone please help quickly thanks!
Answer:
360,000
Step-by-step explanation:
just multiply by 3
Answer:
3,120 second year 3,244.80 the third year.
Step-by-step explanation:
4% of 3,000 is 120
so 3,120 then 3,244.80 the third year after the 4% is compounded
The scatterplot shows the average number of hours each of 12 people spends at work every week and the average number of hours each of them spends on recreational activities every week. Based on the scatterplot, what is the best prediction of the average number of hours a person spends on recreational activities every week if that person spends an average of 40 hours at work every week?
A) 17
B) 22
C. 28
D) 33
Answer: 22
Step-by-step explanation: I took the test
Answer:
22
Step-by-step explanation:same but in the past
4x+7=43 solving two-step equations
Answer: [tex]x = 9[/tex]
Step-by-step explanation:
[tex]4x=43-7 = 36\\x =36/4 = 9\\x = 9[/tex]
Graph the line that represents the equation pls
what is the value of the expression below when z=4
10z=3
Answer:
37
Step-by-step explanation:
10z=3 and z=4
substitute
10(4)-3
simplify
40-3
answer
37
Difference of Squares gives which complex factors for the expression x2 +3?
A. (x+3)(x-WB)
B. (x-3)(x-3)
C. (x+3)(x-3)?
D. (x+3)(x-31)
Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
1/8 of a number is less than or equal to 3
Answer:
1/8n<3
Step-by-step explanation:
The letter "n" represents the number. Less than or equal to is represented by "<" but with a line under it.
Answer:
1/8n<3
Step-by-step explanation:
Select the equation that can be used to solve log4(x+4)+log4(x-2)=2
Answer:
option b ......................
The equation that can be used to solve log₄(x + 4) + log₄(x - 2) = 2 is
x² + 2x - 8 = 0.
What is a logarithm?The logarithm is the opposite of the exponential function.
This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
Given, log₄(x + 4) + log₄(x - 2) = 2.
We know logₐx + logₐy = logₐxy.
log₄(x + 4)(x - 2) = 2.
log₄(x² - 2x + 4x - 8) = 2.
log₄(x² + 2x - 8) = 2.
learn more about logarithms here :
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need helpp!!
Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?
Answer:
$32.65 is the answer.
Step-by-step explanation:
First, we must calculate 7.25% of 30.45.
30.45 x 0.0725 = $2.20
Now, we must add this to the original price
$30.45 + $2.20 = $32.65
Therefore, $32.65 is the total cost of his purchase.
Hope this helps! :)
Answer:
$32.66Step-by-step explanation:
before tax = $30.45
tax sales = 7.25%
total cost = $30.45 x 1.0725
= $32.66
determine the linear factors 18x^3-34x^2+16x
Answer:
good luck tho oh and dont forget to tell me the answer
Step-by-step explanation:
Answer:
2x(9x - 8)(x - 1)
Step-by-step explanation:
6 x 1/4 Multiply 1/4 how many times? Move from 0 to where. Product:
Answer:
Multiply 1/4 six times.
Start from zero and move 1/4 six times.
Product: 1 2/4 Other equivalent fractions: 2/3, 1 4/8, 18/12
Step-by-step explanation:
1. 1/4
2. 1/2 (2/4)
3. 3/4
4. one whole (4/4)
5. 5/4 ( 1 1/4)
6. 6/4 ( 1 2/4) (1 1/2)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. 1/4 + 1/4 = 2/4
2. 2/4 + 1/4 = 3/4
3. 3/4 + 1/4 = 4/4
4. 4/4 + 1/4 = 5/4
5. 5/4 + 1/4 = 6/4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1/4 times 6. In other ways..
6/4 1/4 times 6/1 = 6/4
What is the y-intercept of y = -3 – 7x?
Choose 1 answer:
А
(0,-7)
(В
(0, -3)
(-7,0)
(-3,0)
Answer:
A, sorry if wrong but it can't be b or d
NEED ANSWER FAST: Write an equation of the line passing through the points (4,16) and (-1, - 14).
Answer:
y=6x-12
Step-by-step explanation:
y2-y1
--------
x2-x1
Write the ratio 12 to 18 as a fraction in simplest form.
x to y can be expressed as a fraction this way: x/y.
Let x = 12
Let y = 18
12/18
We can now reduce to lowest terms.
Dividing 12 and 18 by 6, we get 2/3 as the final answer.
The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:
12 ÷ 6 = 2
18 ÷ 6 = 3
Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To know more about simplified fraction:
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Please help me you’ll get brainlest last one!!!!!
5/5
Answer:
Point X is the loacation [tex]\pi[/tex], and is an irrational number
Step-by-step explanation:
[tex]\pi[/tex] ≈ 3.14
it is also a irrational number
Jonathan worked at McDonalds 20 hours a week and earned $195. Use the equation 20h = 195 to find Jonathan's hourly wage. *
Answer: 9.75
Explanation:
To find your answer, you need to divide 195 by 20, which is 9.75
the deer population in an an area decreased by 28 each year for 6 years. find the total change in population.
Answer:
168 is the change in population
Step-by-step explanation:
well if u think about it all u really have to do is take 28×6 and it would help u find the change in population
Answer:
The total change is -168.
Step-by-step explanation:
The deer population changed 6 times, and it decreased by 28 each time, so the equation is:
6 times -28 (because the population is decreasing) = -168
Hope this helps :)
Someone please I’m begging this is due by midnight and I can’t have it be late
Answer:
(1) Coeficcient (2) Constant (3) 4 terms (4) In descending order, 2, 1, 3, 4 (5) -2 (6) 1 (7) 5 (8) 2 (9) -15, 5x, -7x^2, 2x^3 (10) -4x^2y, 2xy, 5x, 7
Step-by-step explanation:
Sorry if I got one wrong
Answer:
1) Coefficient
2) Constant
3) 4
4) 3x^2 = 2
10x = 1
6x^3 = 3
x^2y^2 = 4
5) 3
6) 2
7) 5
8) 1
9) 2x^3-7x^2+5x-15
10) -4x^3y+2xy+5x+7
Please help!
What is 7% of 600
Answer:
42
Step-by-step explanation:
Hope this helps
One runner has run 15 miles this month and plans to run 2 1/2 miles per day for the rest of the month. Another runner has not yet run this month but plans to run 3 1/4 miles per day for the rest of the month. After how many days will the two runners have run the same number of miles?
Answer:
After 20 days, the two runners will have run the same number of miles
Step-by-step explanation:
The problem can be solved by using equations. However, we'll approach the solution by using pure reasoning and logic, besides calculations.
The first runner has already run 15 miles this month and plans to run 2 1/2=2.5 miles per day for the rest of the month.
The other runner has not yet run and plans to run 3 1/4 = 3.25 miles per day for the rest of the month. Since his running rate is greater than the other runner, they will both eventually have the same number of miles.
The difference in their running rates is 3.25 - 2.5 = 0.75 miles per day. Since the current difference between them is 15 miles, the second runner needs to run for 15 / 0.75 = 20 days.
After 20 days, the two runners will have run the same number of miles
Andre wants to make a scaled copy of jada drawing so the side that corresponds to 4 units in jada polygon is 8 units of his scaled copy Andre says i wonder if i should add 4 units to lengths of all of the segments what would you say in response to Andre explain or show your reasoning
Answer:
No she should add extra lengths
Step-by-step explanation:
The difference between scaled copy and jada drawing is that it is in the ratio
8:4
2:1
that is the scaled copy is twice as large as the jada drawing itself.
So every dimension is doubled or made twice as large as the initial measurement. Andre should not add 4 units to all sides instead the drawing is made twice as large . It will serve the same purpose of enlarging the drawing while maintaining its shape. If extra mesurements are added the drawing will be changed.