The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answers
The length we can set as y, meaning the width would be (y-5).
So, from these equations, which are the correct ones?
1. y(y+5) = 750
This not correct, as it should be a minus sign instead of addition.
2. y^2-5y = 750
This is correct, because when we do the normal area calculation, y^2-5y is what you would get if you do y(y-5).
3. 750 - y(y-5) = 0
This is correct, the total area minus the calculation of the total area would be 0.
4. y(y-5) + 750 = 0
This is not correct, because this is an area calculation it's impossible to get a negative. So it would not work.
5. (y+25)(y-30) = 0
This is correct. Once you simplify it, it becomes y^2 - 5y - 750 = 0. And then we can move the -750 over so it becomes a positive.
Hope this helped! <3
Related Questions
is this correct?
just making sure...
Answers
Answer:
you are right bro keep up
what is an complementary angle?
Answers
Step-by-step explanation:
Angles whose sum is 90° .
For ex - 30° and 60°
Answer/Step-by-step explanation:
Complementary angle is two angle that add up to 90 degree.
Complementary angle also put together form a right angle.
ex:
To determine the complement, subtract the given angle from 90. 90 - 43 = 47° The complement of 43° is 47°.
Find the measure of AD
Answers
Answer:
x=6
Step-by-step explanation:
triangles CDB and ADB are equal so we know that CD=AD and can write this equation:
3x+5 = 5x-7
subtract '3x' from each side:
5 = 2x-7
add 7 to each side:
12 = 2x
12/2 = x
6=x
how The Marine Discovery Aquarium sells ocean-themed cookies in their gift shop. Last month, they sold 65 shark cookies and 85 clown fish cookies. The cookies were so popular that they want to order more cookies this month. They plan to order 170 clown fish cookies this month.
If they keep the same ratio, how many shark cookies should they order this month?
Answers
There are 130 shark cookies should they order this month.
We have to given that;
Last month, they sold 65 shark cookies and 85 clown fish cookies.
Hence, If they plan to order 170 clown fish cookies this month.
Then, Number of shark cookies should they order this month is, x
Hence, We get;
65 / 85 = x / 170
x = 130
Thus, There are 130 shark cookies should they order this month.
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find the value of x
Answers
Answer:
x = 73⁰
Step-by-step explanation:
all values show are measures of exterior angles
the sum of all exterior angles for any polgon is 360 degrees
to find 'x':
50 + 48 + 59 + x + x + 58 + 39 = 360
combine like terms:
2x + 214 = 360
2x = 146
x = 73
Leon has a bag of 4 red balls, 3 green balls and 6 yellow balls. He takes a ball out and replaces it 50 times. Out of those 50 trails he pulls out a green ball 12 times. What is the experimental probability of getting a green ball on his next trial?
Answers
How many rearrangements of abcd are there in which no two adjacent letters are also adjacent letters in the alphabet? For example, no such rearrangements could include either ab or ba.
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Answers
There are 2 rearrangements of abcd in which no two adjacent letters are also adjacent letters in the alphabet.
What is letter arrangements?
A sorting technique that allows the person to arrange alphabets as conditioned according to the question. Then total arrangements are calculated to know the result.
According to the given question:
Using XXXX as stencil for letters arrangement
We can't put B in either of the middle positions, as there would only be the far end at which to put both A and C and we can't put two things in one slot. That is, XBXX would require A and C to both be in the red X in order to avoid putting them next to B...can't do that, so B can't go in the middle.
Similarly, we can't put C in either of the middle positions, as there would only be the far end at which to put both B and D and we can't put two things in one slot.
So, B and C must go on the ends.
BXXC can only be filled in as BDAC.
CXXB can only be filled in as CADB.
Hence there are 2 such arrangements.
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Given the equation y = 3(2)x
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Regarding the exponential function y = 3(2)^x, we have that:
We know that the graph has a y-intercept at (0,3), because the a-value is of 3.We know that the graph models exponential growth, because the b-value is of 2.The numeric value of the function at x = 3 is given as follows: 24.What is the exponential function?An exponential function is defined as follows:
y = ab^(x/n).
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.n is the time needed for the rate of change.The function for this problem is given as follows:
y = 3(2)^x.
Hence the parameters are given as follows:
a = 3 -> y-intercept at (0,3).b = 2 > 1, hence exponential growth.At x = 3, the numeric value of the function is obtained as follows:
y = 3 x 2^3
y = 3 x 8
y = 24.
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Use the three-point centered-difference formula to approximate f'(o), where f(x)=e, for (a) h=0.1 (b) h = 0.01(c) h = 0.001
Answers
Using the three-point centered-difference formula, we can approximate the value of f'(0) for f(x) = e. For three different values of h, namely h=0.1, h=0.01, and h=0.001, we can obtain three approximations of f'(0).
The three-point centered-difference formula is given by:
f'(x) =\([f(x+h) - f(x-h)] / (2h)\)
For x=0 and f(x)=e, we can use this formula to approximate f'(0) for different values of h.
(a) For h=0.1, we have:
f'(0) = \([f(0.1) - f(-0.1)] / (2*0.1) ≈ [1.10517 - 0.90483] / 0.2 =1.0017\)
(b) For h=0.01, we have:
f'(0) =\([f(0.01) - f(-0.01)] / (2*0.01) ≈ [1.01005 - 0.98995] / 0.02 = 1.00017\)
(c) For h=0.001, we have:
f'(0) = \([f(0.001) - f(-0.001)] / (2*0.001) ≈ [1.0005 - 0.9995] / 0.002 = 1.00017\)
As h gets smaller, the approximation gets closer to the exact value of f'(0), which is \(e^0\)= 1. Therefore, the approximation for f'(0) using the three-point centered-difference formula for h=0.001 is the most accurate.
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if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
Answers
Answer $1,255.50
Do the following using the given information: Utility function u(x1+x2) = .5ln(x1) + .25ln(x₂) .251 Marshallian demand X1 = - and x₂ = P₂ . Find the indirect utility function . Find the minimum expenditure function . Find the Hicksian demand function wwww
Answers
Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²
Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.
The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)
Thus the indirect utility function is undefined.
Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:
Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²
Minimum expenditure function is thus:
Exp = P₁(-) + P₂²
Hicksian demand functions can be derived from the utility function and prices of goods:
H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*
Hicksian demand functions are:
x1** = 2P₁x₂
x₂** = P₂²
If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.
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Please help! 10 points!!!
Answers
Answer:
10
Step-by-step explanation:
1000 = 10 × 10 × 10 = 10³ , then
\(\sqrt[3]{1000}\)
= \(\sqrt[3]{10^3}\)
= 10
Question 9
V - 15 = -27
Pls find the value of V?
Answers
Then, you’ll have -27+15, to which it equals -12.
Therefore, v = -12
Hope this helps :)
ASAP HELP ME!!!!!!!
1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.
Answers
Answer:
1. Linear functions are written in the form \(mx+b\) whereas exponential functions are written in the form \(b^{x}\).
2. Increasing exponential growth functions will rise much quicker than increasing linear functions.
3. Example of a linear function: \(y=2x+1\), example of an exponential function: \(f(x)=3^{x}\)
Step-by-step explanation:
Answer:
Linear functions are written in the form whereas exponential functions are written in the form .
Step-by-step explanation:
Eduardo's percent grades for the fall semester along with the credit earned per subject are given in the table. Calculate his weighted average for the semester. Round your answer to the nearest percent Credit 3 1 Subject Algebra Chemistry II Finance Communication Business Management Percent Grade 75 69 79 53 89 2 3 1 The student's average is ?
Answers
In order to calculate the weighted average, we will multiply the percentage grade for each subject by the credit earned and divide by the total credits earned. The student's weighted average is 74.6% and average score is 73.
Weighted Average Calculation:
Credit | Subject | Percent Grade | Credit × Percent Grade
3 | Algebra | 75 | 225
1 | Chemistry II | 69 | 69
1 | Finance | 79 | 79
2 | Communication | 53 | 106
3 | Business Mgmt | 89 | 267
Total credit earned in the fall semester = 3 + 1 + 1 + 2 + 3 = 10
Weighted Average = (225 + 69 + 79 + 106 + 267) / 10
= 746 / 10
= 74.6%
Thus, Eduardo's weighted average for the semester is 74.6%.
Average Score Calculation: (75 + 69 + 79 + 53 + 89) / 5 = 365 / 5 = 73
Thus, Eduardo's average score is 73.
Therefore, the student's weighted average is 74.6% and average score is 73.
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Determine which fraction is larger 2/9 or 3/10
Answers
Answer:
2/9 is smaller than 3/10
Step-by-step explanation:
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary. $31.69, 6%
Answers
The total amount given the original price and tax rate is $33.59
How to determine the total amount?From the question, we have the following parameters:
Original price = $31.69
Sales tax rate = 6%
In order to determine the total sales amount, we make use of the following total sales equation
Total sales = original price + original price * sales tax rate
Substitute the known values in the above equation
So, we have the following equation
Total sales = 31.69 + 31.69 * 6%
Evaluate
Total sales = 33.59
Hence, the total amount is $33.59
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Hannah either walks or cycles to school. The probability that she walks to school is 0.75 If she walks, the probability that she is late is 0.6 If she cycles, the probability that she is late is 0.2 Work out the probability that on any one day Hannah will not be late for school.
Answers
If Hanna is walking there is a 0.4 chance of not being late. 0.75 x 0.4 = 0.3 probability of not being late.
If Hanna cycles there is a chance of 0.8 of not being late. 0.6 x 0.8 = 0.48.
0.48 + 0.3 = 0.78.
In other words, there is a 78% probability of her not being late.
use the 60 mutual funds in the table above to conduct the hypothesis test. what is the p value? p value is (to 4 decimals)
Answers
Welch's two-sample t-test indicates that the average of Load Return's population is significantly greater than the average of No Load Return's population, with a large effect size.
The null hypothesis (H0) that the two population means are equal is rejected as the p-value (0.005) is less than the chosen significance level (α=0.05). This indicates that the chance of a Type 1 error is small, and the alternative hypothesis (H1) that the average of Load Return's population is greater than the average of No Load Return's population is supported.
The test statistic (T=-2.646) falls outside the 95% critical value accepted range, which further supports the rejection of H0. The effect size (0.68) is considered large, indicating that the difference between the two population means is substantial.
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Complete Question:
use the 60 mutual funds in the table below to conduct the hypothesis test. what is the p value? p value is (to 4 decimals)
If you were given the choice of between more initial zombies, but a slower growth rate or fewer initial zombies, but a greater growth rate, which would you pick and why? use at least 3 of these words in the answer, initial value, rate of change, exponential growth or exponential decay.
Answers
I would chose more initial zombies, but a slower growth rate because when they grow stronger, you get stronger so you have a better chance of survival if their development rate is gradual, giving you time to collect weapons and construct a shelter.
What is growth rate?Growth rate refers to the percentage increase or decrease in a particular variable over a specific period of time. It is commonly used in finance, economics, and business to describe the rate of change of various economic indicators such as gross domestic product (GDP), population, revenue, profit, and so on.
To calculate the growth rate, you need to divide the difference between the final value and the initial value of the variable by the initial value, and then multiply the result by 100 to express it as a percentage. The formula for growth rate is as follows:
Growth rate = ((Final value - Initial value) / Initial value) x 100
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Haiii how you doing so far are you having a good morning too ? ʕ •ᴥ•ʔ
Answers
Answer:
HI I AM BORED
Step-by-step explanation:
you draw a single card from a normal deck of cards. what is the probability that it will be a 7?
Answers
The probability of drawing a 7 from a normal deck of cards is 1/13 or approximately 0.0769 (rounded to four decimal places).
A normal deck of cards contains 52 cards, which includes 13 cards in each of the four suits: clubs, diamonds, hearts, and spades. Within each suit, there are cards numbered 2 through 10, plus face cards (jack, queen, king) and an ace.
Since there are four 7's in a deck of cards (one in each suit), the probability of drawing a 7 from a normal deck of cards is simply the ratio of the number of 7's to the total number of cards:
P(7) = 4/52
Simplifying, we get:
P(7) = 1/13
P(7) = 0.0769
It is important to note that the probability of drawing a 7 is independent of any previous draws, assuming the deck is shuffled thoroughly before each draw. That is, the probability of drawing a 7 remains the same whether it is the first card drawn or the tenth card drawn.
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I need help ASAP anyone ???
Answers
Answer: 141.7 ct
Step-by-step explanation: It's quite easy to notate this. Just move the decimal point two units to the right, and there's your notation!
Answer: 141.7
Step-by-step explanation:
Consider this composite figure. Figure a is a cone, figure b is a cylinder, and figure c is a cone. Answer the following questions about the composite figure. What shape is each label? Shape a is a. Shape b is a. Shape c is a. The volume of the composite figure will be calculated by adding
Answers
Shape b is a cylinder.
Shape c is a cone.
To calculate the volume of the composite figure, you will need to find the individual volumes of each shape and then add them together. The formula for the volume of a cone is (1/3)πr²h, where r is the radius of the base and h is the height. The formula for the volume of a cylinder is πr²h, where r is the radius of the base and h is the height.
So, to find the volume of the composite figure, you would calculate the volume of shape a (the first cone), add the volume of shape b (the cylinder), and then add the volume of shape c (the second cone).
Answer:
Cone, Cylinder, Cone, the sum of two cones and a cylinder
Proof:
2-√-9
a.) 2-3i
b.) 2-4=-1
c.) 2+3=5
d.) 2+3i
Answers
A) 2-3i
help please! im begging you D:
Answers
Answer:
it c
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
What is the value of x?
Original 9 inches - 6 feet
Enlargement 12 inches - x feet
Answers
Answer:
Step-by-step explanation:
Can someone help me me I think I'm bad at this honestly..
Answers
Answer:
J
A=7.07cm^2
Step-by-step explanation:
A= (pi)(r^2)
diameter=3
radius= 1/2 of the diameter = 1.5
pi = approximately 3.14
A= (3.14) (1.5)^2
A= 7.065 ----> rounds to 7.07
find the value of x
-3=16-x
Answers
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...
A man has a coupon to buy 8 oranges, he already has six, so how many does he have if he uses his coupon to buy 8 more oranges.
Answers
Answer:
14 oranges
Step-by-step explanation:
8+6