Answer:
i) 2 + 2x
ii) 154 = 2(2 + 2x + x)
iii) Length = 52m
Breadth = 25m
Step-by-step explanation:
Perimeter of swimming pool = 154m
Breadth = x
Length = 2 + 2x
Formula for finding perimeter = P = 2(l + b)
Therefore,
154 = 2 ( 2 + 2x + x)
154 = 4 + 4x + 2x
154 = 4 + 6x
154 - 4 = 6x
150 = 6x
150/6 = x
25 = x
With the value of x,
we can fInd the length and the breadth
Breadth = x
= 25
Length = 2 + 2x
= 2 + 2(25)
= 2 + 50
= 52
Jillian bought 3 pounds of apples for $3.09 per pound. she then bought 6 pounds of peanuts for $0.87 per pound. How much did Jillian spend all together?
Answer:
Jillian spent $14.49 altogether.
Step-by-step explanation:
Let a = pounds of apples, p = pounds of peanuts, and t = total cost
t = 3.09a + 0.87p
t = 3.09(3) + 0.87(6)
t = 9.27 + 5.22
t = 14.49
The difference of a number and 11
Answer:
x - 11
Step-by-step explanation:
"A number" is the same thing as a variable.
Answer:
x-11
Step-by-step explanation:
Is 6272 a perfect square? If not find the smallest number by which it must be divided so that the product becomes a perfect square.
Answer:
(2^7)*(7^2)
Step-by-step explanation:
2*2*2*2*2*2*2*7*7=6272where2 is the smallest number by which it becomes a perfect square
Complete the tables, and the graph… HELPPP
Answer:
answer is - 1
Step-by-step explanation:
- x + y = 3
x = 4
- ( - 4 ) + y = 3
4 + y = 3. take 4 to the right
y = 3 - 4
y = - 1
I hope this answers your question.
*NEED AN ANSWER ASAP* Find x+y given the angle measures in trapezoid EFGH below.
Answer: x + y = 150
Explanation
y - 65 = 110
y = 110 + 65 (Alternate Interior)
y = 175
y - 65 = 110
∠FGH = 70
70+55+x+45+110 = 360 (sum of angles of a quadilateral is 360)
x + 280 = 360
x = 360 - 280
x = 80
So
x + y = 70 + 80
= 150
Must click thanks and mark brainliest
What is the quotation of 6 and -1/2?
1. -12
2. -1/12
3. 1/12
4. 12
Answer: Option 2: -1/12
Explanation
= -1/2÷6
= -1/2×1/6
= -1/12
Must click thanks and mark brainliest
Samuel takes 5 hours to make a table and a chair. He takes 9 hours to make 3 chairs
and a table. How much time does he take to make a table?
Answer:
3 hours
Step-by-step explanation:
t = time to make a table
c = time to make a chair
t + c = 5
t+3c = 9
Subtract the second equation from the first
t+3c = 9
-(t + c = 5)
-----------------------
2c = 4
Divide by 2
2c/2 = 4/2
c =2
2 hours for the chair
t+c = 5
t+2 = 5
t = 5-2
t = 3hours
Answer:
It takes 3 hours to make a table.
Step-by-step explanation:
Table and chair : 5 hours
Table and 3 chairs : 9 hours
(Table and 3 chairs) - (Table and chair) = (2 chairs)
9 hours - 5 hours = 4 hours
2 chairs : 4 hours / 1 chair : 2 hours
Table and chair : 5 hours
Chair : 2 hours
Table: x hours
5 - 2 = 3
Table : 3 hours
Find the least common multiple of 4 and 10
Answer:
LCM of 4 and 10 is 20
Step-by-step explanation:
yes that is the answer
Answer:
Step-by-step explanation:
Factor 4 and 10 into primes
4: 2 * 2
10:2 * 5
Number of 2s = 2 twos
Number of 5s = 1 five
LCM of 4 and 10 = 4 * 5 = 20
Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.
prove this theorem
Answer:
The essence of Mathematics lies in its freedom
Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.
Answer:
-2.
Step-by-step explanation:
Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]
= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10
= (1 - 10 + 18 - (121 - 110 + 18) / 10
= (9 - (29) /10
= -20/10
= -2.
Answer:
Step-by-step explanation:
The answer is +2 or 2.
9.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 15
A. 3, –5
B. 3.74, 4
C. 4, –4
D. 15, –17
Answer:
x = 3 , x = -5
Step-by-step explanation:
Given x^2 +2x=15 add 1 to both sides to get:
x^2 + 2x + 1 =16
(x+1)^2 = 16
x + 1 = ± [tex]\sqrt{16}[/tex] = ± 4
x = -1 ± 4
x = 3 or x = -5
find LCM of 60,40 and 90
Answer:
Step-by-step explanation:
Prime factorize.
60 = 2 *2 * 3 * 5 = 2² * 3 * 5
40 = 2 * 2 * 2 *5 = 2³ * 5
90 = 2 * 3 * 3 * 5 = 2 * 3² * 5
LCM = 2³ * 3² * 5 = 8 * 9 * 5 = 360
42 deliveries in 3 hours = deliveries per hour
Answer:
14 deliveries per hour
Step-by-step explanation:
42/3
14
The person makes 14 deliveries per hour
Answer:
14
Step-by-step explanation:
42 / 3 = 14
I will mark you as BRAINLIEST Please help me out here!!
Step-by-step explanation:
C1:
The pattern for this: you add 1/2 every time.
C2:
3, 3 1/2, 4, 4 1/2
C3:
5 1/2
C4:
The 14th
C5:
10
D1:
You add twice as more than you did before, starting at 3.
D2:
48, 96, 192, 384
D3:
192
D4:
The 9th
D5:
384
Hope this all helps.
Answer:
C)
1) As the sequence progresses, each term in the sequence increases by 1/2. 2) 3 ; 3 1/2 ; 4 ; 4 1/2
3) The 10th term in the sequence is 5 1/2.
4) 7 1/2 is the 14th term in the sequence.
5) The 17th term is 9.
D)
1) As the sequence progresses, each term multiplies by 2.
2) 48 ; 98 ; 192 ; 384
3) The 7th term in the sequence is 192.
4) 768 is the 9th term in the sequence.
5) The 8th term in the sequence is 384.
Step-by-step explanation:
FOR C : 1 + 1/2 = 1 1/2, 1 1/2 + 1/2 = 2, 2 + 1/2 = 2 1/2, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.
FOR D: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.
Look at this sphere:
If the radius is doubled, then which of the following statements about its surface area will be true?
In the equation for surface area the radius is squared ( r^2)
If the radius is doubled, the radius would be 2^2 more which equals 4
The surface area would be 4 times the old surface area.
please help I will give brainly, please and thank u :D
1 . the answer is wrong . correct answer is 3,531.33
2. I would give you suggestions that you need to work on your calculations skills
A retailer bought 1000 glass tumblers at rs 80 each.50 glass tumblers were broken and he sold the rest at Rs 96 each .find his profit or loss percent
Step-by-step explanation:
Soln
Given
Cp of 1 glass tumbler=80.1000
=Rs 80000
Number of broken glass tumbler=50
Number of remaining glass tumbler=1000-50
=950
Sp of one glass tumbler=96
Sp of 950 glass tumbler=96.950
=91200
Now
Sp > Cp so it is profit
Profit%=sp-cp/cp.100
=91200-80000/80000.100
=11200/80000.100
=14%
Answer:
14%profit
Step-by-step explanation:
Cost of 1000 tumblers=1000×80=80,000
50 of them were broken: 1000-50=950
: He sells 950 tumblers of rs.96 each= ( 950×96)
S.P=91200
We can clearly see he gains for rs.11200.
P%=gain/C.P×100
11200×80000×100
=14%
You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level?
Answer:
There is not enough evidence to support the claim that drug is effective at 1%
Step-by-step explanation:
For this we use the pored test as we have dependent test;
Difference :
10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
The mean of d, dbar = Σd / n = 44 / 18 = 2.44
The standard deviation, Sd = 4.45 (using calculator)
The test statistic, T : dbar / (Sd/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
The Pvalue = 0.0326
α = 0.01
Since Pvalue < α ; we fail to reject H0
PLEASE HELP ASAP ON THESE TWO QUESTIONS BLESS YOUR HEART IF YOU HELP ME 9) Look for two points and find the sloope.
10) Plot the given points and find the slope.
Answer:
the two points are (-3,-3
Step-by-step explanation:
You must first check if the line is a straight line two the you check the intersection of the two points and the write it
If 1 angle is four time of another angle in linear pair find the angles. Please do it fast as you can
Answer:
let the angle be x then other angle is 4x
so,
x + 4x = 180
5x = 180
x = 36
so other angle I.e 4x = 4 × 36 = 144
Let one angle be x
Other angle=4xBoth are linear pair hence their sum will be 180
[tex]\\ \sf \longmapsto x+4x=180[/tex]
[tex]\\ \sf \longmapsto 5x=180[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{180}{5}[/tex]
[tex]\\ \sf \longmapsto x=30[/tex]
[tex]\\ \sf \longmapsto 5x=5(30)=150[/tex]
Which expression is equivalent to….
Answer:
the answer is {2^5}
hope it helps :)
(2^1/2×2^3/4)^2
(2^(2/4+3/4))^2
(2^5/4)^2
2^(5/4×2)
2^(5/2)
√2^5
Answered by Gauthmath must click thanks and mark brainliest
A. Determine if a given set ie a well-defined or not.
1. the set of all poor people in batangas.
2. the set of books well-liked by my classmate.
3. the set of handsome teachers in your school.
4. the set of whole numbers greater than 8 but less than 20.
5. the set of intelligent students.
Answer:
Step-by-step explanation:
1. yes
2. No
3. No
4. Yes
5. I have no idea about this one, but I think its not a well defined set
any 5
algebraic formulas
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b2
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
a4 – b4 = (a – b)(a + b)(a2 + b2)
a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b2
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
a4 – b4 = (a – b)(a + b)(a2 + b2)
a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
A typical television newscast has three cameras. The center camera directly faces the news anchor’s desk. The other two cameras are both angled 45 degrees away from the center camera. Suppose each camera has a filed if 60 degrees. What is the total angle covered by three cameras? Explain your reasoning.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The data value that occurs most often in the data set is the ____________.
A. mean
B. median
C. mode
D. range
(3 1/3) (6) What is the answer?
Answer:
20
Step-by-step explanation:
(6x3=18) (6x1/3=2) (18+2=20)
First things first!
Multiply 6 by 3 (18).
Mulitply 6 by 1/3 (2).
Add 18 and 2, and ... *drum roll*, the final answer is 20!
Hope this helps :)
PLEASEE HELP ASAP........
Answer:
(C). 126
Step-by-step explanation:
[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]
x = 126
Answer:
Hello,
Answer C\\
Step-by-step explanation:
Triangle EUT is similar to triangle EGF
[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]
tìm điều kiện xác định để phân thức A=(1/x-2-2x/4-x^2+1/2+x).(2/x-1)
Х
49°
x=
degrees
PLEAIEJEHEHEHDJDJDJDI
Answer:
Step-by-step explanation:
Exterior equals the sum of opposite interior angles
x = 49 + 90
x = 139°
What is the sale price of this bed after the discount has been taken off the standard price?
Answer:
585 is the answer of your question.
Step-by-step explanation:
because formula is
Mp _ d% of mp