Answer:
y=2.25x
Step-by-step explanation:
4.50 ÷ 2 = 2.25 per pound
11.25 ÷ 5 = 2.25 per pound
22.50 ÷ 10 = 2.25 per pound
Proportional relationship as each pound cost $2.25, and will increase accordingly per pound.
constant of proportionality: 2.25
pounds: x
cost: y
y = kx
y = 2.25x
Answer:
Step-by-step explanation:
Y=2.25
Because 4.50/2 = 2.25
11.25/5 = 2.25
22.50/10 = 2.25
1. Write three different ratios that would form a proportion with the ratio of
5/3
Answer:
5.7
Step-by-step explanation:
The three ratios that would form a proportion with the ratio of 5/3 are,
10/6, 15/9, and 20/12.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
The three ratios that would form a proportion with the ratio of 5/3 are,
(5×2)/(3×2), (5×3)/(3×3) and (5×4)/(3×4).
10/6, 15/9, and 20/12.
learn more about proportion here :
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A rectangular section of wilderness will be set aside for a new wildlife refuge. It's dimensions are 5.2 × 105meters by 3.7 × 106meters. Find the area of the land in square meters.
Answer:
The area of the land in square meters is 1.924 x 10⁷ m²
Step-by-step explanation:
Given;
length of the wilderness, L = 3.7 × 10⁶ meters
width of the wilderness, W = 5.2 × 10⁵ meters
Area of the land in square meters is given by;
A = L x W
Where;
A is the area of the land
L is length of the land
W is width of the land
A = 5.2 × 10⁵ meters x 3.7 × 10⁶ meters
A = 5.2 × 10⁵ meters x 37 × 10⁵ meters
A = 192.4 × 10⁵ m²
A = 1.924 x 10⁷ m²
Therefore, the area of the land in square meters is 1.924 x 10⁷ m²
Sharon has 10 ½ gallons of paint. She plans on using 1 ½ gallons to paint each room in her house. How many rooms will she be able to paint if she shares the paint equally in each room?
Answer:
3 rooms can be fully painted if the paint is shared equally.
As well as 2/3 of another room.
Step-by-step explanation:
Sharon has 10 ½ gallons of paint. She plans on using 1 ½ gallons to paint each room in her house.
Hence:
1 ½ = 1 room
10 ½ = x
Cross Multiply
x × 1 ½ = 10 ½ × 1
x = 10 ½ × 1/1 ½
x = 11/2 ÷ 3/2
x = 11/2 × 2/3
x = 11/3
x= 3 2/3 rooms
How many rooms will she be able to paint if she shares the paint equally in each room?
Hence, she will be able to paint 3 rooms fully as well as 2/3 of another room.
A gardener planted flowers of different colors.
3/10 of the flowers are yellow.
3/4 of the remaining flowers are green.
The rest are purple.
The gardener planted 119 purple flowers, how many flowers did the gardener plant?
Answer:
The gardener planted 680 flowers
Step-by-step explanation:
The different colors of flowers planted by the gardener are;
The proportion of the flowers planted that are yellow = 3/10
The proportion of the remaining flowers planted that are green = 3/4
The color of the rest of the flower planted = Purple
The number of purple flowers planted = 119 purple flowers
Let the number of flowers the gardener planted = x
Therefore, the number of yellow flowers planted = 3/10 × x
The number of green flowers planted = 3/4 × (x - 3/10 × x) = 21/40×x
The number of the rest of the flower which are purple = x - (3/10 × x+ 21/40×x) = x - 33/40×x = 7/40×x
∴ The number of the purple flowers planted = 7/40×x = 119
x = 119 × 40/7 = 680
The number of flowers the gardener planted = x = 680 flowers
The gardener planted 680 flowers.
Solve the following equation for a number x.
Verify that your solution is correct.
-34 = 7x + 1
Answer:
-5
Step-by-step explanation:
-34=7x+1
-34 -1=7x
7x = -35
x = -5
Please help me ASAP I will mark you brainliest!!
Answer:
i think it is b
Step-by-step explanation:
NEED HELP AND FAST IM ONLINE WITH MY TEACHER
Daniel worked for 2 1/3 hours and earned $18.20.
How much would he make if he worked for 5 1/4 hours?
Answer:
2 1/3hrs→ $18.20
1 hr→ $7.80
5 1/4hrs→ $7.80x5 1/4= $40.95
Step-by-step explanation:
here u go pls make me brainliest
Answer:
just above 41 dollars but since there is only two decimals $41.00
Step-by-step explanation:
The speed limit on a road is 45 miles per hour. What is this rate in miles per minute?
1 hour = 60 minutes
Divide miles per hour by 60 minutes:
45/ 60 = 0.75 miles per minute
If you need the answer as a fraction 0.75 = 3/4 miles per minute.
A man sold two radios at Rs. 4800 each. On one he gains 20% and on the another
he loses 20% . Find the gain or loss percent in the whole transaction.
SP of first Radio = Rs. 4800
Gain% on first radio = 20%
Find:The gain or loss percent in the whole transaction.
Solution:We know that,
CP = (100/100 + gain% ) * SP
Hence,
⟹ CP of first Radio = (100/100 + 20) * 4800
⟹ CP of first Radio = 100 * 4800/120
⟹ CP of first Radio = Rs. 4000
Similarly,
SP = (100 - loss%/100) * CP
⟹ 4800 = (100 - 20/100) * CP of second Radio
⟹ 4800 * 100/80 = CP of second Radio
⟹ Rs.6000 = CP of second Radio
Now,
Total SP of radios = 4800 + 4800 = Rs. 9600
Total CP of radios = 4000 + 6000 = Rs. 10000.
We observe that,
CP > SP
So, a loss is occured.
⟹ Loss = CP - SP
⟹ Loss = 10000 - 9600
⟹ Loss = Rs. 400
Now,
Loss% = (Loss/CP) * 100
⟹ Loss% = 400/10000 * 100
⟹ Loss% = 4%
∴ The loss occurred in the whole transaction is 4 %.
I hope it will help you.
Regards.
Answer:
your answer is in pic siso❤❤
❤❤
Characterize the slope of the line in the graph.
A. Zero
B. Undefined
C. Negative
D. Positive
What is the range of f
Step-by-step explanation:
The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}
whats 2 plus 2 you get 22 points and brainliest
Answer:
2+2=4
Step-by-step explanation:
You have to 2 circles and another 2 circles how many circles you got?
You got 4 circles in total.
Answer:
2+2 is not 22 its 4
Step-by-step explanation:
if measure of angle TAR and angle RAP are complementary angles where m < TAR is 3 times m
What is 133413.12cm in metres
Answer:
1334.1312
Step-by-step explanation:
Answer:
1334.1312
Step-by-step explanation:
which of the following rational numbers is equal to 2.4 repeating?
22/9, 24/9, 26/9, 28/9
The answer would be 22 over 9. I hope this helps with the test
Answer:
22/9
Step-by-step explanation: I had this answer and got it right.
If 2 pretzel makers can make 444 pretzels in 6 hours, how long does it take 5 pretzel makers to make 88 pretzels? Plz help me What is the answer to this equation?
Answer: Tt will take approximately 19.03 minutes.
Step-by-step explanation:
Formula required: [tex]\dfrac{M_1T_1}{W_1}=\dfrac{M_2T_2}{W_2}[/tex], where [tex]M_1[/tex] = number of men, [tex]T_1[/tex] = time taken,[tex]W_1[/tex] = work in situation 1, and [tex]M_2[/tex] = number of men, [tex]T_2[/tex] = time taken, [tex]W_2[/tex] = work in situation 2.
Given: If 2 pretzel makers can make 444 pretzels in 6 hours.
i.e. [tex]M_1=2,\ W_1=444, T_1=6\ hours[/tex]
To find : [tex]T_2[/tex] for [tex]M_25, W_2=88[/tex]
Substitute all value sin formula , we get
[tex]\dfrac{2\times6}{444}=\dfrac{5\times T_2}{88}\\\\\Rightarrow T_2=\dfrac{8\times88}{444\times5}=0.3171\ hour[/tex]
[tex]=0.3171\times 60= 19.026\text{ minutes}\ \ \ \ [\text{1 hour = 60minutes}][/tex]
hence, it will take approximately 19.03 minutes.
Give the person above me credit
What is the sum of Square root of -2 and square root of -18?
Answer:
5.65685425 i think
Step-by-p explanation:
The variable q varies inversely as the cube of v. If k is the constant of variation, which equation represents this situation
a. qv^3=k
b. q^3v=k
c. q/v^3=k
d. q^3/v=k
Answer:
The answer is A.
Step-by-step explanation:
The equation represents this situation will be qv³ = k. Then the correct option is A.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The variable q varies inversely as the cube of v.
q ∝ 1/v³
q = k/v³
Where k is the constant of variation.
Then the equation represents this situation will be
q = k/v³
qv³ = k
Then the correct option is A.
More about the ratio and the proportion link is given below.
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how do i do this, pls help me asap, thank you.
Answer:
I honestly don't know
Step-by-step explanation:
Honestly
Cash register contains only five dollar and ten dollar bills. Contains twice as many five's as ten's The total amount of money in the cash register is $720. How many tens are in the cash register? 
Answer: 36
Step-by-step explanation:
5x + 10y = 720
y=1/2x
tens = 36
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying t, is t = 1/500 d. how long will it take the airplane to travel 800 miles.
Answer:
Step-by-step explanation:
t = 1/500d....when d = 800
t = (1/500 * 800)
t = 800/500
t = 1.6 hrs <==
What is the value of the expression (-2)^3 (3)^0 (4)^-2
Answer:
(-1)/2
Step-by-step explanation:
Simplify the following:
(-2)^3×3^0/4^2
4^2 = 16:
((-2)^3×3^0)/16
3^0 = 1:
(-2)^3/16
(-2)^3 = (-1)^3×2^3 = -2^3:
(-2^3)/16
2^3 = 2×2^2:
(-2×2^2)/16
2^2 = 4:
(-2×4)/16
2×4 = 8:
(-8)/16
The gcd of -8 and 16 is 8, so (-8)/16 = (8 (-1))/(8×2) = 8/8×(-1)/2 = (-1)/2:
Answer: (-1)/2
PLZ HELP THIS IS COMPLICATED!!!
Answer:
The closet one is 5 mi
Step-by-step explanation:
Its correct
Help please this is very hard idk what to do
Answer:b
Step-by-step explanation:
the answer is the second one
Answer:
Second graph
Step-by-step explanation:
First, solve the inequality:
Add 8 to each side, so it now looks like this: 5x ≤ -10Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x ≤ -2Find the graph the matches the solution:
First one is x ≤ 2, so it incorrectSecond one is x ≤ -2, so it is correctI hope this helps!
A jar contains only pennies, nickels, dimes, and quarters. There are 19 pennies, 29 dimes, and 16 quarters. The rest of the coins are nickels. There are 88 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
Answer:
24 nickles
Step-by-step explanation:
N= 88-(19+29+16)
N= 24
Use the given picture and find the value of x and y
Answer:
heres your answer maybe
Step-by-step explanation:
start with this in a explanation to find your answer.
(9y+17)+(10y)+(11y-1)=the value of Y
(6x-13)cm+(4x+3)cm*divided by 18cm= the value of X
How many different solutions does (x+1)(x-1)(x+2)(x+1) have?
Answer:
Perhaps this will help. We have 11 identical candies, that we wish to distribute between 3 children C1. C2, and C3. (Possibly one or more of the children will get no candies.) For every solution of x1+x2+x3=11, we have a way of distributing the candies, x1 to C1, x2 to C2, and X3 to C3. conversely, every distribution of candies gives us a solution to x1+x2+x3=11.
Step-by-step explanation:
Can u please answer my recent question!!!!
Sarah says that -6 multiplied by -3 is -18. Joseph says -6 multiplied by -3 is 18. Who is correct? Explain.
Answer:
Joseph
Step-by-step explanation:
negative times a negative equals a positive.
If a function is y = x - 8 , then what is the value of the function when x is 10
Answer:
2
Step-by-step explanation:
Simplify
y = x - 8
Substitute
y = 10 - 8
10 - 8 = 2, so y = 2
Estimate the factors 2,047 x 508 and solve
Answer:
1039876,Estimate would be about 1040000
Step-by-step explanation: