The length of a room is 2 metre longer than its breadth if the area of the room is 63 square metre find the length and the breadth of the room
Answer:
7 metre
Step-by-step explanation:
Let the breadth of the room is x.m. , then the length is (x+2).m. , accordingly:-
(x+2).x. = 63.
or, x^2 +2 x - 63 = 0.
or, (x + 9).(x -7) =0.
or, x = - 9 (not valid) , 7 .
Thus , the length = (x+2).m.= (7+2) = 9.m. , breadth = x .m. = 7.m. , Answer.
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sum of
5 3/7 - 2 1/5
Answer:
Step-by-step explanation:
5 3/7= 38/7 (move the wholes into the fraction)
2 1/5=11/5
38/7- 11/5 we need the common denominator=35
190/35 -77/35= 113/35
=3 8/35
In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs? Select all that apply. (2, 4), (6, 3), (5, 4), (7, 3), (8, 2)
Answer:
I dont see the statements but this is a parabola. As you can see some of the ys repeat.
Step-by-step explanation:
in the figure angle D measures 31 and angle a measures 27
The measurement of angle B is
The measurement of angle F is
Answer:
Angle b is 63
Angle f is 59
Step-by-step explanation:
which is the correct answer?
Step-by-step explanation:
Options B and C are wrong because 0 as a numerator is totally fine as a real solution.
In Option A,
15(x² - 1) = 10(3x - 3)
15x² - 45x + 30 = 0
x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
x = 1 or x = 2.
This is correct as x cannot be 1 (dividing by zero).
In Option D,
(x + 2)(x - 1) = 40
x² + x - 42 = 0
(x - 6)(x + 7) = 0
x = 6 or x = -7.
In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)
Hence the answer is A.
Which graph represents the function y = 2/3x-2
Answer:
C
Step-by-step explanation:
so the y-int is where the point is on the y-axis (0,X). Or, in this situation-2.
for slope, you just need to do rise over run, or up and down first then, left and right. If I do that for C, I go 2 up and 3 right. So the slope os 2/3 (P.S. up and right is positive, and down and left is negative)
What is the value of x?
x= -8
2x + 5 – įx = 3
O x =
0.x = -2
0 x = 1/2
x = 8
Each of the following trinomials has a leading coefficient that is prime. Using a guess-and-check technique,
write each trinomial in its factored form. Show each guess and its check.
(a) 5x² - 41x+8
(b) 3x² + 4x - 20
I
(c) 2x - 29x-15
(d) 7x? +39x + 20
Answer:
14
Step-by-step explanation:
In a remote village, a person used five beaver pelts
Answer:
what're we supposed to do?
Step-by-step explanation:
Express each ratio as a fraction in the simplest form.
21 beetles out 36 insects
Answer:
8274
Step-by-step explanation:
Plot the points O(0,0) R(1,4) C(−4, −1)and K(−4, 8)to form triangles ∆ORK and ∆OCK. Decide the relationship between m∡KOC and m∡KOR. Be sure to justify with any algebra and theorems !
Answer:
i think its c
Step-by-step explanation:
The equation -7(u+3)=49 is solved in several steps below.
For each step, choose the reason that best justifies it
Answer:
u = -25/7
Step-by-step explanation:
-7(u + 3) = 4
-7u -21 = 4 (distribute the -7)
-7u = 25 (add 21 to get -7u by itself)
u = -25/7 (divide by -7 by both sides to find the value of u)
Solve for x. -1/5(x - 4) = -2
Answer:
x=14
Step-by-step explanation:
Help me like seriously I don’t understand this at all
Answer:
option C
Step-by-step explanation:
Group common terms
8u³+7u³+7u²-6u+6+6
15u³+7u²-6u+12
Diana creates a graph of money she earns y for working x hours the graph contains the points 34,408 40,489 46 588
Answer:D and E I think
Step-by-step explanation:
Priya is sharing 24 apples equally with some friends. She uses division to determine how many people can have a share if each person gets a particular number of apples. For example, 24 ÷ 4 = 6 means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:
Answer:
1 apple: 24 people
2 apples: 12 people
3 apples: 8 people
4 apples: 6 people
6 apples: 4 people
8 apples: 3 people
12 apples: 2 people
24 apples: 1 person
Step-by-step explanation:
The number of 6 people can have 4 apples each.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Priya is sharing 24 apples equally with some friends.
She uses division to determine how many people can have a share if each person gets a particular number of apples.
For example, 24 ÷ 4 = 6 means that if each person gets 4 apples,
then 6 people can have apples,
= 24 ÷ 6
= 4
Therefore, 6 people can have 4 apples.
To learn more about the division;
https://brainly.com/question/13263114
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kristen and brett found three different deals on the same smart tv they want to figure out which deal is better before tax
1.Original Price: $320
Discount: 15% off
2.Original Price: $349.99
Discount: 75% off
3. Original Price: $360
New Price: $280
Answer:
Option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.
Step-by-step explanation:
To determine which deal is better before taxes, the aforementioned discounts must be made at the original prices and their results compared, through the following calculations:
1)
320 - (320 x 15/100) = X
320 - 48 = X
272 = X
2)
349.49 - (349.49 x 75/100) = X
349.49 - 262.11 = X
87.37 = X
3)
280 = X
Therefore, as can be seen, option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.
How many work cycles should be timed to estimate the average cycle time to within 5 percent of the sample mean with a confidence of 99.0 percent if a pilot study yielded these times (minutes): 4.0, 4.5, 5.0, 4.5, 4.5, and 4.0
Answer:
Following are thew solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]
n = the number of work cycles for 95 confidence interval
z-score = 1.96
So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]
[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]
[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]
[tex]= 8.342943396\\\\[/tex]
[tex]n = 69.6047045[/tex]
[tex]= 70[/tex]
Using the sample size formula, the number of samples required is 919.
Standard deviation, σ = 0.376From the data given :
Mean = (4 + 4.5 + 5 + 4.5 + 4.5 + 4) / 6 = 4.417Standard deviation = 0.376Using the sample size relation thus:
[tex] n = (\frac{T_{critical}σ}{E})^{2}[/tex] E = Margin of Error = 5% = 0.05Tcritical at 99%, df = 5 = 4.032 (T distribution table)Substituting the values into the equation :
[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]
[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]
Hence, the sample size required is 919.
Learn more : https://brainly.com/question/25609130
I need help please I have to finish this
Answer:
Hey,
Let A be (-1,7)
Let B be (5,1)
In order to find the distance we need to do
[tex]d = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
Once we plug x2=5 and x1=-1
and y2=1 and y1= 7
You get
[tex]6 \sqrt{2} [/tex]
Now to find the midpoint:
[tex]( \frac{x1 + x2}{2} \frac{y1 + y2}{2} )[/tex]
Using the same values defined above we get:
(2,4)
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Solve for x and then part b) find JL. Have no clue how to go about this
9514 1404 393
Answer:
x = 4JL = 16Step-by-step explanation:
a) You go about this by using the given equation.
Left + Right = Total
JK + KL = JL
(2x -3) + 11 = 4x
8 = 2x . . . . . simplify, subtract 2x
4 = x . . . . . . divide by 2
__
b) JL = 4x = 4·4
JL = 16
Help Please 10 pointsssssssss
Answer:
A is false
Step-by-step explanation:
A triangle can be drawn with exactly 1 acute angle. FALSE
A triangle can be drawn with exactly one right angle. TRUE
A triangle can be drawn with more than one acute angle. TRUE
A triangle can be drawn with exactly one obtuse angle. TRUE
6 minutes to 16 minutes
Answer:
um im not sure if you need to simplify but then the answer would be 3 minutes to 8 minutes.
What is the fourth root of -16/81?
Answer:
The fourth root of -16/81, whose result is -0.19, is -0.66.
Step-by-step explanation:
To determine the fourth root of -16/81, you must first perform this mathematical operation, and then perform the radication of the result of it. Thus, the following process must be carried out:
-16 / 81 = X
-0.19 = X
4√0.19 = -X
0.66 = -X
-0.66 = X
Therefore, the fourth root of -16/81, whose result is -0.19, is -0.66.
-3224 base 5 -3434 base 5
I guess you're asking to compute the difference,
-3224₅ - 3434₅
Ignore the minus signs for now, and consider the sum
3224₅ + 3434₅
In the 5⁰ place (the rightmost digit) we have
4₅ + 4₅ = 8 = 13₅
Carry the 1 to the next place. In the 5¹ place,
2₅ + 3₅ + 1₅ = 6 = 11₅
Carry the 1. In the 5² place,
2₅ + 4₅ + 1₅ = 7 = 12₅
Carry the 1. In the 5³ place,
3₅ + 3₅ + 1₅ = 7 = 12₅
So,
3224₅ + 3434₅ = 12213₅
and hence
-3224₅ - 3434₅ = -12213₅
solve - 9/2y=27/2 for y.
Answer:
It’s y = 3
Step-by-step explanation:
Solve for y by simplifying both sides of the equation, then isolating the variable.
If 2 angles are vertical and one angle is 44 degrees,find the other angle?
Answer:
Step-by-step explanation:
Then the other angle must be 44 degrees as well.
can someone help me please i don't understand the process
Answer:
Yes, because a triangle can have any lengths.
which sentence contains a metapohor?
Answer:
The last one
Step-by-step explanation:
its comparing 2 things without using like or as
Answer:
The park road would be a black ribbon rippling through the majestic landscape
I'm pretty sure :)
Step-by-step explanation:
21) A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. Group members took a random sample of 18 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours with a standard deviation of 1.72 hours. The 90% confidence interval is (-1.93, 0.13). The correct interpretation is
Answer:
We accept H₀ we don´t have evidence of differences between the two toothbrushes
Step-by-step explanation:
Toothbrushes A
Sample mean μₐ = 119,7
Standard deviation sₐ = 1,74
Sample size nₐ = 18
Toothbrushes B
Sample mean μ₀ = 120,6
Standard deviation s₀ = 1,72
Sample size n₀ = 15
With CI = 90 % CI = ( -1,93 ; 0,13 ) that s the acceptance region for H₀
Test hypothesis is
H₀ μₐ = μ₀
Hₐ μₐ ≠ μ₀
We need to calculate t(s) as
t(s) = ( μₐ - μ₀ ) /Sₓ * √ (1/nₐ) + 81/n₀)
and see if it is insde CI
Sₓ = (nₐ - 1 ) * sₐ² + ( n₀ - 1 ) * s₀² / nₐ + n₀ - 2
Sₓ = 17*3,03 + 14*2,96 / 31
Sₓ = (51,51 + 41,44 )/ 31
Sₓ = 2,998
t(s) = 0,9 / 2,998*√(1/18) + (1/15)
t(s) = 0,9 / 1,04
t(s) = 0,87
the area of a rectangle is 72cm2, in which the width is twice the length. what are the dimensions
Answer:
Dimension: 2inches by 4 inches
Step-by-step explanation:
Given
[tex]Width = 2wice\ Length[/tex]
Required
Determine the dimension.
This is calculated as :
[tex]Area = Length * Width[/tex]
[tex]A = L * W[/tex]
So:
[tex]A=L * 2L[/tex]
[tex]A=2L^2[/tex]
Substitute 72 for A
[tex]72=2L^2[/tex]
Divide bith sodes by 2
[tex]36 = L^2[/tex]
Take square root of both sides
[tex]L = 6[/tex]
Recall that:
[tex]Width = 2 * Length[/tex]
Hence:
[tex]LEnhth= 0 * 2[/tex]
[tex]LEnhth= 2[/tex]
Hence, the dimension is: 2 by 3 inches