Proportional and linear functions are very similar. The only difference is the addition of the “b” constant to the linear function. A proportional relationship is just a linear relationship where B = 0, or where the line passes through the origin (0, 0).
Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?
Answer:
Step-by-step explanation:
The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.
A car travels 108 miles on 8 gallons of gas. Find the distance the car can travel on 25 gallons of gas.
337.5 miles, or 337 miles!
Answer: It will be able to travel 162 miles
Step-by-step explanation:
300000÷_________=300.
Answer:
1000
Step-by-step explanation:
Answer:
100000
Step-by-step explanation:
A store owner has a total of 87.95 lbs of
flour. If she puts the same amount of flour in
7 jars, how many pounds of flour will each
jar contain?
Answer:
12.56
Step-by-step explanation:
87.95 divided by 7
Step-by-step explanation:
Total amount of flour = 87.95lbs
Amount of flour in each jar = 87.95 ÷ 7 = 12.56
You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 900 different songs (your favorite song is among them). Assuming that the singers are equally likely to pick any song and no song repeats, what is the probability that your favorite song is one of the 20 that you hear that night?
Answer: I'm assuming it's 20/900 because there is 900 songs in total.
Step-by-step explanation:
The probability that your favorite song is one of the 20 songs you hear that night is 1/900.
To find the probability that your favorite song is one of the 20 songs you hear that night, we can use the concept of probability.
The total number of songs in the karaoke song book is 900. Since each song is equally likely to be picked, the probability of randomly selecting your favorite song from the entire song book is 1 out of 900, or 1/900.
Now, you will hear a total of 20 songs that night. Out of those 20 songs, you want to know the probability that your favorite song is one of them. Since there is only one favorite song, the favorable outcomes are 1.
Therefore, the probability that your favorite song is one of the 20 songs you hear that night is:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 1 / 900
So, the probability that your favorite song is one of the 20 songs you hear that night is 1/900.
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Can u help me with my homework
Do it on a piece of paper and put it in the answer box ASAP
Step-by-step explanation:
absolutely. there is no mathematical problem to solve.
just do what the instructions tell you.
that is an exercise for you to get a feeling what is what.
I want to know how to find the area of polygon.
Answer:
The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
Step-by-step explanation:
{NOBITA}
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Find the apothem of the polygon. If you're using the apothem method, then the apothem will be provided for you. Let's say you're working with a hexagon that has an apothem with a length of 10√3.
Step-by-step explanation:
but for a rectangle the area formula is
width*height
for a trapezoid area formula is 1/2(base1+base2)*height
for a hexagon area formula is
area = (3/2) · sqrt(3) · s2
12 - 33/4 equal in fraction form?
Answer:
The answer is 3 3/4 I think
Step-by-step explanation:
order of operations : simplify completely (6-2X2)X3
Answer:
6 is the answer.
Step-by-step explanation:
Using PEMDAS, let's solve.
(6 - 2 x 2) x 3(6 - 4) x 32 x 36Therefore, 6 is the answer.
Hoped this helped.
Please help me ill put the question up for a lot of point, and i will mark as brainliest!!!
Step-by-step explanation:
(2x³y^-4)^-2 = 1/(4x⁶y^‐8) = y⁸/(4x⁶)
1/(8x⁵y^-7) = y⁷/(8x⁵)
4x^-9y⁴ = 4y⁴/x⁹
so, the whole expression is then
y⁸/(4x⁶) × y⁷/(8x⁵) × 4y⁴/x⁹
4y¹⁹/(32x²⁰) = y¹⁹/(8x²⁰)
so, D is the correct answer.
[tex]5/4+3/4+1/4=[/tex]
help help help help math math
Answer:
[tex]2916^3\\[/tex]
Step-by-step explanation:
As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]
But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]
And the radius is 9 half of Diameter
We would write it like this
= [tex]\frac{4}{3}3\cdot 9^3[/tex]
Then when we solve it would become [tex]2916^3\\[/tex]
I hope this helps :)
recursive rule for 1 4 9 16
Step-by-step explanation:
The rule is to add 5 to each number to make next number
1 4 9 16 21 26 31 36 41
in 2011 i sold 105276 tickets.
This is 7% less then the number of tickets i sold in 2018.
How many tickets i sell in 2018?
And
Show a check of your answer.
Answer:
sorry I don't know the answer of this
4. Write an equation of the vertical line that passes through the point (-2,-8)
Find the Simple interest paid for eight years on a $850 loan at 7.5% a year
Answer:
850 divided by 7.5
Step-by-step explanation:
. There are 11 boys and 5 girls that tried out to
sing a duet in a chorus concert. If the
director must choose two, what is the
probability that both students chosen are
boys?
We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458
If we assume that the selection is totally random, then all the students have the same probability of being chosen.
This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:
P = 11/16
For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).
Q = 10/15
The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:
Probability = P*Q = (11/16)*(10/15) = 0.458
So the probability that both students chosen for the duet are boys is 0.458
If you want to learn more, you can read:
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6
0 0 0
TIME RE
44
Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
Answer:
112.81 miles
Step-by-step explanation:
304.6 divided by 2.7
11
Y1
0
4
1
12
2
36
3
108
Write an explicit function
56566965577553666645556566667
Can someone help me please
I been on this for days and no one can give me a right answer
Answer:
2x²=6x-5= x=3+i/2
-x²-10x=34= x = -(5+3i)
Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers
Which of the following is a solution of 4x + 3x = 12?
(a) (4,0)
(b) (3,0)
Answer:
B
Step-by-step explanation:
Given equation is 4x+3y = 12
(3,0) is a solution because
LHS =
⇛ 4(3)+3(0)
⇛ 12+0
⇛ 12
⇛ RHS
LHS = RHS
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Which is a solution to the equation y=12-3x A.(4,3) C.(4,0) B.(-4,4) D.(0,4)....
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An elliptical mirror measures 20 inches wide and 24 inches high. The ellipse is centered at (0, 60) on a coordinate plane, where units are in inches. Which equation represents the mirror?
The height and width of the outline (perimeter) of the mirror, as well as the
center in relation to the plane of the edges are given.
[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]
Reasons:
Width of the elliptical mirror = 20 inches
Height of the elliptical mirror = 24 inches
Center of the ellipse = (0, 60)
The equation of an ellipse is; [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]
Where;
(h, k) = Coordinates of the center;
a = Semi major axis
b = Semi minor axis
In the mirror, we have;
(h, k) = (0, 60)
a = 24 ÷ 2 = 12
b = 20 ÷ 2 = 10
Which gives;
[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]
Therefore;
[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]
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Ernie’s bakery sells pastries for $.75 each. A customer purchased 112 pastries, and Ernie gave him an 8.375% discount. How much did that customer pay for the pastries he purchased?
Answer:
$7.6965 or $7.70
Step-by-step explanation:
We multiply the price by the amout he bought.
0.75 x 112 = 84 or $8.40
This is how much he would have paid without a discount. To find the discount we multiply the initial amount by the discount percent in decimal form.
8.4 x 0.08375 = 0.7035
This is the amount thay will be subtracted from the initial price.
8.4 - 0.7035 = 7.6965 or $7.70
What is nx25=5x60 and how did you get the answer?
Hey there!
n * 25 = 5 * 60
25n = 5 * 60
25n = 300
DIVIDE 25 to BOTH SIDES
25n/25 = 300/25
CANCEL out: 25/25 because it gives you 1
KEEP: 300/25 because it helps solve for the n-value
NEW EQUATION: n = 300/25
SIMPLIFY IT!
n = 12
Therefore, your answer is: n = 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which statements are correct interpretations of this graph?
Select each correct answer.
a.4 boxes are filled every 3 min.
b.3 boxes are filled every 4 min.
c.1.3 boxes are filled per minute.
d.0.75 boxes are filled per minute.
A city park is in the shape of a triangle where
the sides have lengths 170 m, 162 m, and
177 m. If a fence was built around the
perimeter of the park, how long would the
fence need to be?
Answer:
solution here
length
c=170
a=162
b=177
perimeter=?
now,
perimeter of triangle = a+b+c
=170+162+177
=511
perimeter=511 cm
perimeter = length of fence
therefore,the fence should be 511 cm long.
The length of the fence needed would be 509 meters.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.Given is that a city park is in the shape of a triangle where the sides have lengths 170 m, 162 m, and 177 m.
The length of the fence needed would be the perimeter of the triangle. We can write the perimeter of the triangle as -
P = sum of the side lengths
P = 170 + 162 + 177
P = 509 meters
Therefore, the length of the fence needed would be 509 meters.
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Find the unit rate if you got paid $104 for 8 hours of work
and said the answer is 52/4. Is he right or wrong?
what did he do wrong and what is the correct answer?
I am confused, can someone help me
Answer:
bc=10
Step-by-step explanation:
12/bc=18/(33-18)
12/bc=18/15
18bc=12*15
18bc=180
bc=180/18
bc=10
