7. A recipe for a smoothie calls for 5 cups of strawberries for every 2 cups of bananas. The line represents the relationship between the amount of strawberries and the amount of bananas needed to make a smoothie according to this recipe. The point (1, 2.5) is on the line. Show your reasoning.
Answers
Answer/Step-by-step explanation:
This is a proportional relationship between amount of strawberries and the amount of bananas needed in making smoothie.
Thus, a constant of proportionality, k, is a ratio that exist between both quantities.
k = y/x = amount of strawberry/amount of bananas.
Since we are given that a recipe of smoothie contains 5 cups of strawberries for every 2 cups of bananas, therefore,
k = ⁵/2 = 2.5.
Any point that will be on the line shown must have the same value of k (y/x).
Thus, given the point (1, 2.5). The ratio between y and x is:
k = 2.5/1 = 2.5.
Since this also shows the same constant of proportionality as 2.5, therefore, the point is also on the line.
Answer/Step-by-step explanation:
This is a proportional relationship between amount of strawberries and the amount of bananas needed in making smoothie.
Thus, a constant of proportionality, k, is a ratio that exist between both quantities.
k = y/x = amount of strawberry/amount of bananas.
Since we are given that a recipe of smoothie contains 5 cups of strawberries for every 2 cups of bananas, therefore,
k = ⁵/2 = 2.5.
Any point that will be on the line shown must have the same value of k (y/x).
Thus, given the point (1, 2.5). The ratio between y and x is:
k = 2.5/1 = 2.5.
Since this also shows the same constant of proportionality as 2.5, therefore, the point is also on the line.
Related Questions
Ms. Andrew currently earns $4,225 per month. She will receive a 17% increase in pay beginning next month. How much can she expect to earn next month, to the nearest cent?
Answers
Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
To calculate Ms. Andrew's new monthly salary, we need to add 17% of her current salary to her current salary:
New salary = Current salary + 17% of current salary
New salary = $4,225 + 0.17($4,225)
New salary = $4,225 + $717.25
New salary = $4,942.25
Therefore, Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.
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Given PQR is congruent to STU, find the value of x
Answers
Answer:X=15 Y=4
Step-by-step explanation:
1. PR=US or 3y=12 divide 3y by 3 and cancel 3 out then divide 12 and get Y=4.
2. QR=TU or 2x=30, divide 2x by 2 and cancel out 2, then divide 30 by 2 and get X=15.
3. PQ=ST or 64=4x+y or 64=4(15)+4 and get 64=64
In the diagram above, Z1 = 40°.
Find the measure of Z2.
Z2 = [?]°
Answers
Answer:
40 = <2
Step-by-step explanation:
<1 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel
<1 = <2
40 = <2
Para la clase de Ciencias cada 1 de los estudiantes puso a germinar un grano de frijol
luego de 2 semanas cada 1 midió la altura de su planta en centímetros los resultados
se muestran a continuación
a. Halla la media, Halla la moda, Halla la mediana
b. Responde las siguientes preguntas: cuántas plantas crecieron 10, 11 y 12 cm cuantas plantas crecieron mas de 12 centimetros, cual fue el promedio de
crecimiento de las plantas (para esto saca la media), cual fue el crecimiento que mas
veces se repitió (para esto halla la moda)
Answers
Answer:
uhhh
Step-by-step explanation:
Which of the following transformations would result in two congruent triangles?
A
vertex I should be moved up 5 units
B
vertex x should be moved down 10 units
c
vertex y should be moved left 4 units
D
vertex Z should be moved left 4 units
Help pls!!!
Answers
Answer:
B
Step-by-step explanation:
I just did it in illuminate
What is the playing surface called where the college basketball semi-finals are played?
Answers
Answer:
The answer is "floor".
Step-by-step explanation:
The playground on which the semi-finals of basketball was performed is called the Floor. It also has a double-dimensional or three-dimensional ground throughout the form of a square or a rectangle. It may be a Cube, or Cuboid, which would be a Pyramid whenever a surface becomes three-dimensional elevated beyond Earth's level.
Please help 30 points If do it is also timed so hurry
Answers
Answer:
It's the first one.
Step-by-step explanation:
0.6 represents 60%.
Please Help. Write an equation of the line that passes through (1,2) and is perpendicular to the line
that passes through y=-3x - 4
Answers
Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
Slope of [tex]y=-3x-4[/tex] is the m of the general equation [tex]y=mx+b[/tex] which [tex]-3[/tex] The slope a line perpendicular to this line is the number that if multiplied with -3 will give us -1 so that [tex]\frac{1}{3}[/tex] With that slope and the point [tex](1,2)[/tex] use the formula[tex]y-y_1=m(x-x_1)\\y-(2)=\frac{1}{3} (x-(1))\\y-2=\frac{1}{3}x-\frac{1}{3}\\y=\frac{1}{3}x+\frac{5}{3}[/tex]If your bike wheel has a diameter of 2.5 feet, how many times does the wheel make a full rotation?
Answers
Answer:
159 times
Step-by-step explanation:
Answer:
every 2.5 feet
Step-by-step explanation:
the diameter is 2.5feet so to make 1 full rotation you need to move 2.5 feet
help asap plspls !! :)
Answers
Answer:
16/9 pounds or 1.667... pounds
Step-by-step explanation:
8/9 + 1/9 = 1
2/3=6/9
1 + 6/9 = 16/9 or 1.667
Please give me the correct answer.
Answers
Answer:
One thing I see here is that we have to open the parenthesis by multiplying 4 by (n+10), so the option that says "Multiply (n + 10) by 4." Not sure how I can show explanation for this question.
what is 168 divided by 12 but using estimation
Answers
Answer:
14
Step-by-step explanation:
The division of the number 198 by 12 is approximately 17.
A mathematical process known as division can be used to divide a sum of money into equal parts or to calculate how many times one number can be found inside another.
A quotient is produced as a result of dividing a dividend (the number being divided) by a divisor (the number by which the dividend is divided).
To estimate the division of 168 by 12, we can use rounding to simplify the calculation.
Round the numbers to a more manageable value. In this case, we can round 168 to 170 and 12 to 10.
Divide the rounded numbers. 170 divided by 10 is equal to 17.
Therefore, an estimated answer to the division of 168 by 12 is approximately 17.
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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 100 mm?
Answers
Answer:
157,143 mm/s
Step-by-step explanation:
Formula for the volume of a sphere is;
V = 4/3 * pi * r^3
dv/dr = 4 pi r^2
dv/dt = dv/dr * dr/dt
dr/dt = 5 mm/s
dr/dt = 4 * pi * r^2
r = d/2 = 100/2 = 50 mm
dr/dt = 4 * 22/7 * 50^2 = 220,000/7
dv/dr = 220,000/7 * 5 = 157,142.8571428571
Approximately 157,143 mm/s
Which statements are true about the solution of 152 22+x? Select three options.
O x2-7
OXS-7
The graph has a closed circle.
0-6 is part of the solution.
0-7 is part of the solution.
Answers
Answer:
it's a c e actually......
The true statements about 15 ≥ 22 + x are
x ≤ -7, the graph has a closed circle and -7 is part of the solution.
How to determine the true statements?The inequality is given as
15 ≥ 22 + x
Subtract 22 from both sides
-7 ≥ x
Rewrite as:
x ≤ -7
The ≤ implies that the solution is a closed circle, and the other true statement is: (e) -7 is part of the solution.
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a. What is the y-intercept?
b. What is the slope?
c. What is the equation of the line in slope-intercept form?
Answers
Answer:
slope is (2/3)x. equation is y=(2/3)x-1
Step-by-step explanation:
** SOLVED **
Allison has some pennies and some nickels. She has no more than 23 coins worth a minimum of $0.75 combined. If Allison has 6 pennies, determine all possible values for the number of nickels that she could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer: {14, 15, 16, 17}
Answers
Answer:
15 i think im not completely sure
Step-by-step explanation:
When a number is decreased by 10% of itself, the result is 27. What is the number?
Answers
Answer:
3090%. 27
--------- -------------
100%. x
cross multiply and then divide by the number withh and x
Step-by-step explanation:
Answer:
3 is ten percent of the number
Step-by-step explanation:
because if 27 is 90% then 30 is 100%
Which of the following is equivalent to 4/20? 1. 1/10 2. 3/15 3. 3/19 4. 2/12
Answers
Answer:
3/15=1/5
Step-by-step explanation:
4/20=3/15
3/15 is not all the way simplified. So i'm going to make it simple.
3 divided by 3=1
15 divided by 3=5
1/5 x 4=4/20
4/20 divided by 1/5=4
Can I still pass the School Year if I failed the 1st and 2nd 9 weeks? Someone please answer
( HIGHSCHOOL)
Answers
Answer:
Step-by-step explanation:
yes you can depending on your grades in that class though you might have to redo the semester in your free time if your grade is not high enough
Simplify 2x2 - y for x = 3 and y = -2.
Answers
Answer:
16
Step-by-step explanation:
2x2-y
2(3)2-2
2(9)-2
18-2
16
The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm?
Answers
Answer:
9th min?
Step-by-step explanation:
lol sorry im set 4 maths
144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Radius of a spherical ball is increasing at a rate of 2 cm/min.
We need to find exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm
S = surface area at time t, and r = radius at time t
r=9cm
dr/dt = 2 cm/min
S = 4πr²
Differentiate with respect to t
ds/dt=2.4πrdr/dt
=8πr(2)
=16πr
=16π(9cm)
=144π cm²/min
Hence 144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.
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If 18 g of a radioactive substance are present initially and 9 yr later only 9 g remain, how much of the substance will be present after 12 yr?
After 12 yr there will be g of a radioactive substance.
(Round the final answer to three decimal places as needed. Round all intermediate values to seven decimal places as needed.)
Answers
Answer:
Him hhhuuu vividly
Step-by-step explanation:
a turntable has a diameter of 40 cm what is its circumference
Answers
Answer:
125.6 cm
Step-by-step explanation:
Diameter (d) = 40 cm
Circumference = πd
= 3.14 * 40
= 125.6 cm
I needs hheeellllppppp
Answers
Answer:
It's C.7
Step-by-step explanation:
Use the foil method
Which expressions can be used to represent the sum of 3 consecutive odd integers?
Answer choices:
A. n, n+2, n+4
B. n, n+1, n+2
C. n, n+1, n+3
D. n+1, n+2, n+3
Answers
The sum of 3 consecutive odd natural nos. can be represented by n + ( n+2 ) + (n + 4 ).
What are consecutive nos. ?Consecutive nos. are every no. after each other.
According to the given question we have to represent the sum of 3 consecutive odd natural nos.
We know that consecutive odd natural nos. come after every two digits.
∴ Assuming the first odd natural no. to be n.
So, Next odd natural no. will be (n + 2) and the third consecutive odd natural no. will be (n + 2) + 2 which is = (n + 4).
∴ The sum of 3 consecutive natural numbers can be represented by
n + (n + 2) + (n+4).
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Please help me it due today at 7:10pm please help me
Answers
Answer:
that is easy false hope u get it to By 7:10
Need and answer ASAP please helppp
1. Name the line that represents the diameter
2. Name the line that represent the radius
Answers
Answer:
Diameter is Line D and Radius is Line R
Step-by-step explanation:
I don't really know how to explain it because I've known this for years now lol.
Which statement best describes points P and Q?
Answers
Answer:
i need more info
Step-by-step explanation:
Explain the steps you took to solve parts b and c. Explain why you did the operations you did,and why the answers are positive or negative. Use at least 4 pieces of unit vocabulary correctly and appropriately in your response.
Answers
Answer:
What!? If you could elaborate more i could help you!
The ratio of two supplementary Angles is 2:7 what is the measure of the smaller angle
1 10
2 14
3 20
4 40
Answers
(i need my answer to be 20 characters long)