Answers
Answer:
[tex]\huge\boxed{width=12cm}[/tex]
Step-by-step explanation:
[tex]l-length\\w-width\\P-perimeter[/tex]
The formula of perimeter of the rectangle:
[tex]P=2l+2w=2(l+w)[/tex]
Substitute:
[tex]l=6w\\\\P=168cm[/tex]
[tex]168=2(6w+w)\\168=2(7w)\\168=14w\qquad|\text{divide both sides by 14}\\\\\dfrac{168}{14}=\dfrac{14w}{14}\\\\12=w\Rightarrow w=12(cm)[/tex]
Answer:
Width of rectangle = 12 cm
Step-by-step explanation:
Let us assume that,
→ Length = 6x
→ Width = x
→ Perimeter = 168 cm
Perimeter of rectangle,
→ P = 2(L + W)
Forming the equation,
→ 168 = 2(6x + x)
Now the value of x will be,
→ 168 = 2(6x + x)
→ 2 × 7x = 168
→ 14x = 168
→ x = 168/14
→ [ x = 12 ]
Then the length and width is,
→ Length = 6x = 6(12) = 72 cm
→ Width = x = 12 cm
Hence, required width is 12 cm.
Related Questions
On a coordinate plane, a triangle has points A (negative 2, negative 2), B (1, negative 5), and C (negative 5, negative 5).
If a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?
Answers
Answer:
The answer is number 2. hope that helps
Answer:
(3,-12)
Step-by-step explanation:
the triangle has points A(-2,-2) B(1,-5) and C(-5,-5) the translation of (2 horizontally,-7 vertically) will cause B to translate to coordinates (3, -12)
Find AB, given that line AD is the perpendicular bisector of BC
Answers
Answer:
11
Step-by-step explanation:
because line AD divided the triangle ABC into two equal halves
A line segment has one endpoint of A (2,5) and a slope of (2/3). Find coordinates for B
Answers
Answer:
B could be (4,8), (6,11), (8,14), (10,17), (12,20), etc.
Step-by-step explanation:
quick mafhs
What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?
Answers
Complete Question
The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm.
What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?
Answer:
[tex]P(\=x >96 )=0.01884[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=12[/tex]
Sample mean [tex]\=x =90[/tex]
Standard Deviation [tex]\sigma=10[/tex]
Generally
[tex]\sigma_x=\frac{\sigma}{\sqrt{10}}[/tex]
[tex]\sigma_x=\frac{10}{\sqrt{12}}[/tex]
[tex]\sigma_x=2.887[/tex]
Generally the equation for P(\=x >96 ) is mathematically given by
[tex]P(\=x >96 )=P(Z>\frac{\=x-\mu_x}{\sigma_x})[/tex]
[tex]P(\=x >96 )=P*(Z>\frac{90-96}{2.887})[/tex]
[tex]P(\=x >96 )=1-P(Z<2.08)[/tex]
[tex]P(\=x >96 )=1-0.98116[/tex]
[tex]P(\=x >96 )=0.01884[/tex]
A grocery store recently sold 12 cans of soup, 6 of which were black bean soup. Based on experimental probability, how many of the next 20 cans sold should you expect to be black bean soup?
Answers
Answer:
10
Step-by-step explanation:
P(black bean soup) = cans of black bean / total = 6/12 =1/2
out of the next 20
20 *P(black bean)
20 * 1/2 = 10
Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?
Answers
Answer:
8 1/4 kg
Step-by-step explanation:
Add the weight of the fruits together
3 1/2 + 4 3/4
Get a common denominator of 4
3 2/4 + 4 3/4
7 5/4
7 4/4 + 1/4
8 1/4 kg
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answers
Answer:
20 unit²
Step-by-step explanation:
A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.
From the grid :-
[tex]\rm\implies Side_1 = 7 \ units [/tex]
[tex]\rm\implies Side_2 = 3 \ units [/tex]
[tex]\rm\implies \perp \ Distance =4 \ units [/tex]
Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,
[tex]\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}[/tex]
8x - 12
6x + 8
x = [?]
Answers
Answer:
x = 10
Step-by-step explanation:
8x-12 = 6x+ 8
or, 8x -6x = 8 + 12
or, 2x = 20
or, x = 20/2
so, x = 10
Answer:
10
there is a problem with the question...
IF it was : 8x - 12 = 6x + 8
then the answer would be: 2x = 20 .... x = 10
Step-by-step explanation:
14. The following solution contains errors. Identify the errors and explain why they are incorrect.
Explain what should have been done to answer the question properly.
Answers
Find EH , given that line HF is the perpendicular bisector of EG
Answers
Answer:
EH = 5
Step-by-step explanation:
HF is the perpendicular bisector of EG , then
EH = HG = 5
rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)
Answers
Answer:
10
Step-by-step explanation:
not sure please verify
I don’t understand what A is trying to ask please could someone help me? Thank you!
Answers
You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.
Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.
Going from f(x) to -f(x) is the y-axis reflection part
Going from -f(x) to -f(x-4) will shift the line 4 units to the right.
Answer: g(x) = -f(x-4)Las dimensiones de un paquete de galletas son 2 cm x 0.75 cm x 25 cm. Cuántos paquetes de galletas caben en una caja cuyas dimensiones son 2 cm de ancho, 75 cm de largo y 2.5 cm de alto?
Answers
2 x 75 x 2.5 = 375
375/37.5 = 10
10 paquetes
In the function, g(x) = -2x , the independent variable has a value of 6. Find the value of the dependent variable.
Answers
Answer:
-12
Step-by-step explanation:
x=6
g(6)=-2*6=-12. Answered by Gauthmath
Find the surface area of the composite figure. Round to the nearest square centimeter
Answers
Answer:
Surface area = 726 cm²
None of the options is correct.
Step-by-step explanation:
Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)
✔️Surface area of cone = πr(r + l)
Where,
Radius (r) = 5 cm
Slant height (l) = √(10² + 5²) (Pythagorean theorem)
Slant height (l) = 11.2 cm
Plug in the values
= π*5(5 + 11.2)
= 254.5 cm²
✔️Surface area of the cylinder = 2πr(h + r)
r = 5 cm
h = 15 cm
Plug in the values into the formula
S.A = 2*π*5(15 + 5)
S.A = 628.3 cm²
✔️area of base of cone = πr²
r = 5 cm
Area = π*5² = 78.5 cm²
✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)
= 882.8 - 157
= 726 cm² (nearest square meter)
None of the options is correct.
Jamar has 90 cents in his pocket. One coin is a quarter, and the others are
nickels. How many nickels does he have?
A. 23
B. 65
C. 13
D. 15
Answers
Answer:
C. 13
Step-by-step explanation:
Quarters are worth 25 cents each
Nickels are worth 5 cents each
Let n be the number of nickels that Jamar as in his pocket.
We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:
5n + 25 = 90
5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.
We have to isolate the n so we can subtract 25 from both sides to get:
5n = 65
After that we can get n by dividing 5 from both sides:
n = 13
Therefore there are 13 nickels in his pocket.
Let me know if I did anything incorrectly.
The number of nickels he has is 13. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that quarters are worth 25 cents each and nickels are worth 5 cents each.
Let n be the number of nickels that Jamar has in his pocket.
We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:
5n + 25 = 90
5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.
We have to isolate the n so we can subtract 25 from both sides to get:
5n = 65
After that we can get n by dividing 5 from both sides:
n = 13
Therefore, the number of nickels he has is 13. The correct option is C.
To know more about expression follow
brainly.com/question/723406
#SPJ2
A house has increased in value by 28% since it was purchased. If the current value is $288,000, what was the value when it
was purchased?
Answers
Answer:
$368,640
Step-by-step explanation:
288,000 * .28 = 80640
288,000 + 80640 = 368640
as part of a weight loss plan, Levi's average calories consumed per day, denoted by c, subject to a maximum of 15 calories, is measured to calculate the amount of weight he will lose. if he is losing weight consistently, what is the domain of the function
Answers
Answer:
The domain is;
0 < c ≤ 15
Step-by-step explanation:
We are told that Levi's average calories consumed per day is denoted by c.
Now, we are told it is subject to a maximum of 15 calories.
Thus; c ≤ 15
Now,if he is losing weight consistently, then c must be greater than 0.
Thus,the domain is;
0 < c ≤ 15
asap please help! and explain how you got the answer!
Answers
To start to solve this problem we start by observing what information there is. We need y, to find y we have to know x. We need x to find y because all the angles in a triangle add up to 180. If we find x we can subtract the angles we know and get y. To find x we look and see that it is on a straight line, and on the other side of the line is 100. We know that a straight line is 180 degrees so we subtract 100 from 180 to get x. We now know x is 80, so now we minus 89 and 45 from 180. We get 55. This means that y is 55.
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
Can someone help me with this math homework please!
Answers
Answer:
C
Step-by-step explanation:
What is the solution to the system of equations graphed below? PLSSS HELP
Answers
Answer:
C (-2,0)
Step-by-step explanation:
Find the point where they intersect. It's (-2,0) on the graph
Answer:
C
Step-by-step explanation:
Looking at the graph, the solution is (-2, 0).
This is because on the x axis, the point is 2 units to left (negative number) and does not move on the y axis (leaving it at 0).
Another way to see this is by plugging in these coordinates into the system of equations:
0 = -2(-2) - 4
0 = 4 - 4
0 = 0
0 = -2 + 2
0 = 0
These are both correct, once again proving the solution is (-2, 0).
Least common factor how to do in 121,99
Answers
Answer:
Step-by-step explanation:
Prime factorize 121 and 99
121 = 11 * 11
99 = 11 * 3 * 3
Common factor = 11
The functions f and g are defined as follows.
Answers
Answer:
f(4) = -14
g(-2) = 22
Step-by-step explanation:
f(x) = -4x+2
Let x = 4
f(4) = -4*4 +2
= -16+2
= -14
g(x) = -3x^3 -2
Let x = -2
g(-2)= -3(-2)^3-2
= -3(-8)-2
= 24-2
=22
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
Here,
f(x)=-4x+2
we have to find the value of f(4)
[tex]\sf{f(4)=-4(4)+2=-16+2=-14 }[/tex]g(x)=[tex]{-3x^3-2 }[/tex]
we have to find the value of g(-2)
[tex]\sf{g(-2)=-3(-2)^3-2 }[/tex] [tex]\sf{ g(-2)=-3(-8)-2 }[/tex] [tex]\sf{g(-2)=24-2=22 }[/tex] More information:-[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]
Solve the formula A = lw for /
Answers
Answer:
A/w = l
Step-by-step explanation:
A = lw
Divide each side by w
A/w = lw/w
A/w = l
What is value of x if 20x-10*110=50
Answers
Answer:
57.5
Step-by-step explanation:
20x - (10 x 110) = 50
=> 20x - 1100 = 50
=> 20x = 1150
=> x = 1150/20
=> x = 115/2
=> x = 57.5
Type the equation used and answer for credit:
1) You bought a car that was $25500 and the value depreciates by 4.5% each year.
The general Population equation is modeled by: V(x) =
***
a. How much would the car be worth after 5 years?
the Evaluated equation I used to get the following answer is
and
the answer after 5 years the car is worth
dollars.
b. How much would the car be worth after 8 years?
the Evaluated equation I used to get the following answer is
and
After eight years the car is worth
dollars.
Answers
Step-by-Step Explanation:
The depreciate standard deviation is invariant as it does not vary, albeit, given the configurations of the interrogate, fabricating the product of the depreciate and the annuals elapsed is necessary to evaluate for the estimated cost of the vehicle within subsequent years.
5th Year:
4.5(5) = 22.5%
25,500 - 22.5% = $19,762.50 USD.
8th year:
4.5(8) = 36%
25,500 - 36% = $16,320.00 USD.
Thus far, such proposed retorts are in the accordance of the depreciate and the commission per vehicle.
*I hope this helps.
5x + 4 < X-5, when X belongs to Z
Answers
Answer:
Step-by-step explanation:
5x+4<x-5
5x-x<-5-4
4x<-9
x<-9/4
x=(-∞,...,-4,-3]
Answer:
Step-by-step explanation:
5X + 4 < X - 5
5x - x < -5-4
4x<-1
4x/4 > -1/4
x>-1/4
4. (03.05)
The graph shows the production of cars per day at a factory during a certain period of time. What is the domain of this function during this period? (1 point)
The domain is all real numbers o through 9.
The domain is all integers o through 9.
The domain is positive real numbers.
The domain is all positive integers.
Answers
Answer:
B. domain is all integers 0 through 9
Step-by-step explanation:
Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.
The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.
1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."
The dimensions of a garden are 300' by 200'. If a model garden with the
scale of 10' = 1" is to be made, find the dimensions of the model.
A.) 3" by 1"
B.) 30" by 20"
C.) 45" by 10"
D.) 60" by 20"
Answers
Answer:
B
Step-by-step explanation:
We know that 10' = 1". We want to find a x and y for 300' = x" and 200' = y". We can do this by figuring out ratios between similar values. For the numbers ending in ', we can say that 300/10 = 30 and 200/10 = 20. Therefore, to get x and y, we can multiply
10' = 1" by 30 on both sides to get
300' = 30"
and multiply by 20 on both sides to get
200' = 20"
Therefore, we can say that 300' by 200' = 30" by 20"
Good evening, I would need some help on this exercise.
Paul takes advantage of the sales to buy pants for € 29.50 which initially cost € 5 more. He also buys a € 17 T-shirt on which he is entitled to a 25% discount at the cash desk. What percentage of the total amount of his purchases did he save by purchasing these items during the sales?
thank you
Answers
Answer:
He Saved 18.664%
Step-by-step explanation:
Well first we need to find the total of the original price of the items he got
then we can solve for how much (in percentage) he saved
We know the original price of the pant as € 34.50 because 5+29.50=34.50
Now lets find out the original price of the shirt
The shirt's original price can be found by using this equation
x * .75 = 17
17/ .75 = x
22.67 = x
Now since we know the prices of these two items lets add them together
34.50 + 22.67 = 57.17
He actually spent
29.50 + 17 = 46.5
Now what percentage of 57.17 is 46.5?
We can use 46.5/57.17 = 0.81336
.81336 *100 = 81.336%
100-81.336 = 18.664
18.664% was saved
