Given :
Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 mTo find :
The Length and the BreadthSolution :
As it is given that the length of rectangle is 6 m more than the breadth.
Thus, let us consider the Breadth as ''x''.
Then the Length will be ''x+6''.
We know that,
Perimeter of rectangle = 2(l + b)
According to Question,
➠Perimeter of rectangle = 2(x+6+x)
➠60 = 2(x+6+x)
➠60 = 2(x+x+6)
➠60 = 2(2x + 6)
➠60 = 4x + 12
➠60 - 12 = 4x
➠48 = 4x
➠48/4 = x
➠12 = x
______________________
∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.
And the Length of the rectangle will be,
↠x + 6
↠12 + 6
↠18 m
Hence,
Length = 18 mBreadth = 12 m▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Read this E[2X^2 â€" Y].
I know part of it is read as the expected value of two times x square but what do these symbol mean â€" Y.
Write it down in English letters not mathematical expression
Thanx
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2X ² - Y.
If you don't know how X or Y are distributed, but you know E[X ²] and E[Y], then it's as simple as distributing the expectation over the sum:
E[2X ² - Y] = 2 E[X ²] - E[Y]
Or, if you're given the expectation and variance of X, you have
Var[X] = E[X ²] - E[X]²
→ E[2X ² - Y] = 2 (Var[X] + E[X]²) - E[Y]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.
solve for x,y and z, show your work
2x+y 2=-3
y+z=2
-y +z =12
If f(x)=(x+1)2+3, what is f(5)?
9514 1404 393
Answer:
39
Step-by-step explanation:
Put 5 where x is and do the arithmetic.
f(5) = (5+1)^2 +3 = 6^2 +3 = 36 +3
f(5) = 39
pls help nmn po bukas na pasahan
Step-by-step explanation:
yan na po yung answer .....................................
due in 10 minutes help with explanation
Answer:
first box: -9
second box: -20
Step-by-step explanation:
Group the terms with c and the ones without c:
9c - 15c - 3c = -9c
-12 - 8 = -20
So the simplification is -9c + -20
(which is the same as -9c - 20)
Find the value of y so that the distance between the points (4.7 and 0.6) is equal to 5
Answer:
you now if you wont to find the value you can type distance calculator and see the points
Step-by-step explanation:
Find the slope-intercept form between the two points (0,-4) and (-3,-10) * 2 points
Your answer
Answer:
Y=2x-4
Step-by-step explanation:
Check over my math please.
Answer:
It looks like everything is correct :)
Step-by-step explanation:
Hopefully you guys can see this. This is the 2nd part to my 1st question. The picture with the colored shapes is the 1st part which was already answered gratefully. You can use that picture to help you answer this.
I’ll be giving out a lot points for this as well as Brainliest to whoever answers correctly.
Thank you in advance and take your time.
Answer:
what are the rods? Are they the same ones as used in the diagram
Step-by-step explanation:
On a horizontal number line, -45 is located to the left of -35
Answer:
true
Step-by-step explanation:
<________________________>
-45 -35 0
Order from least to greatest.
0.64, 13/20, 63%
Answer:
63%, 0.64, 13/20
Step-by-step explanation:
Convert to decimal0.64 = 0.6413/20 = 0.6563% = 0.63Therefore, the answer is 63%, 0.64, 13/20Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.
What is the length of SW?
Answer:
it is indeed B
Step-by-step explanation:
a few years late but its fine right
The length of SW will be 9.5. Each median will be divided into segments by the centroid at a ratio of 2:1.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The ratio of the centroid divides each median into segments will be 2:1.
[tex]\rm \frac{SZ}{TS} = \frac{2}{1} \\\\ \frac{4m+8}{3m-1} = \frac{2}{1}\\\\ 4m+8 = 2 (3m-1) \\\\ 4m+8 = 6m -2 \\\\ 2 m = 10 \\\\ m = 5[/tex]
The ratio of the centroid divides each median into segments will be 2:1.
[tex]\rm \frac{XS}{SW} = \frac{2}{1}\\\\ \rm \frac{2 m +12}{SW} = \frac{2}{1}\\\\ SW = \frac{19}{2}\\\\ SW = 9.5[/tex]
Hence the length of SW will be 9.5.
To learn more about the triangle, refer to:
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I need help please!:D
Answer:
18
Step-by-step explanation:
Divide 252 by 14 and you will get 18 and if you substitute x or the number you need to find, 18 x 14 = 252. Hope this helps.
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?
Include A.M. or P.M. in your answer Please help me fast!!
Answer:
7:15 A.M. 1 hour and 45 min = 105 min3 hour 45 min= 225 min1 hour and 15 min = 105 min105(2)+ 225= 435 min= 7 hours and 25 min. Add that to the original total you get 14:40 P.M1. The Honda Accord uses 192 gallons of gasoline to travel 6 miles. At this
rate, how many miles can the vehicle travel per gallon of gasoline? *
A1152 miles
B32 miles
C0.031 miles
D198 miles
what is the nth term for
- 2, 7, 22, 43
Answer:
3n^2 - 5
Step-by-step explanation:
Find the area of this quadrilateral.
Answer:
18
Step-by-step explanation:
I just counted and put together pieces that would reasonably make a full square
Combine like terms 10p + 9 + 17e - 5e + 1
Answer:
10p + 12e + 10
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
10p + 9 + 17e - 5e + 1
Step 2: Simplify
Combine like terms (e): 10p + 9 + 12e + 1Combine like terms (Z): 10p + 12e + 10Answer:
10p + 10 + 12e would be your answer
what is 1 and 5/32 as a decimal
Answer:
1 5/32 is equal to 1.15625 in decimal form.
Step-by-step explanation:
Hope this helped, Have a Great Day!!
1 and 5/32 is equivalent to 1.15625 as a decimal.
To convert the mixed number 1 and 5/32 to a decimal, you need to combine the whole number and the fractional part.
First, you convert the fractional part to a decimal.
The denominator of 32 tells you that there are 32 equal parts in a whole.
To determine the value of 5/32, you divide the numerator (5) by the denominator (32):
5 ÷ 32 = 0.15625
Next, you add the decimal value of the fractional part (0.15625) to the whole number (1):
1 + 0.15625 = 1.15625
Therefore, 1 and 5/32 is equivalent to 1.15625 as a decimal.
Learn more about mixed number click;
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C С Ε B Н H D in the image point A is the center of the circle. Which two line segments must be equal in length?
Question:
In the image, point A is the center of the circle. Which two line segments must be equal in length?
Answer:
[tex]HI = EF[/tex]
Step-by-step explanation:
See attachment for figure
Required
Which two lines must bet equal
From the diagram, we have the following 4 lines:
BCHIEFADHowever, among the 4 lines, only two lines pass through center A.
These lines are:
HIEFThe length of these two line segments because they both pass through the center and they both represent the diameter of the circle.
Hence,
[tex]HI = EF[/tex]
Mabel has 8 coins, all of which are dimes and pennies. In all, they're worth 35¢. How many of each kind of coin does Mabel have?
Answer:
5 pennies
3 dimes
Step-by-step explanation:
Answer:
3 dimes and 5 pennies
Step-by-step explanation:
Dimes can only add up to 10s so, it would have to be 3 dimes. Pennies can only add one at a time. So the answer for pennies would be 5. And 5+3=8.
Hope this helps!
48/8 = 42/x
Please select the best answer from the choices provided.
A: x = 42
B: x = 7
C: x = 8
D: x = 6
Answer:
D because 48 ÷ 8 = 6 42 +6 = 7
The best answer from the choices provided,
is x = 7.
The correct option is B.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
An expression,
48/8 = 42/x
Applying cross multiplication,
x = 42(8)/48
x = 7
Therefore, the value of x is 7.
To learn more about the expression;
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bd s ssvsg helpppp...
Any help please I appreciate it thank you
Answer:
20 feet
Step-by-step explanation:
Parimeter is how far you would walk if you made a lap around the shape, walking on the edge lines like a balance beam.
To find perimeter, we need to add up all the sides.
Because it's a square each side has the same length.
There are 4 sides.
5 x 4 = 20
or 5 + 5 + 5 + 5 = 20
The perimeter is 20 feet
A vendor bought 100 g of garlic for 20 from a wholesaler. He then sold it at a gain of 10%. Findthe S.P. of 10 g of garlic for the vendor.
Answer:
2.2
Step-by-step explanation:
10% of 20 equals 2
10% of 100g equals 10g
22 = 110% 22/10= 2.2
therefore the S.P. of 10 g of garlic is 2.2
HELP PLEASE!!!!!
Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
The relationship is linear. More than 1 answer
a.) The relationship is non-linear.
b.) The relationship is proportional.
c.) The relationship is non-proportional.
d.) The relationship always results in a positive profit.
e.) The relationship always results in a negative profit.
Answer:
b
Step-by-step explanation:
Solve the given equation for v.
Answer:(3t)^2
Step-by-step explanation:
Steps below
Which phrase describes density? height of a point above sea level force pushing on an area or a surface amount of mass in a certain volume amount of matter an object contains
Answer:
C i think plz let me know ^w^
Step-by-step explanation:
help? URGENTTT i need to do this quickly...
Answer: I think 12...
Step-by-step explanation:
Answer:
Step-by-step explanation
[tex]\frac{4x - y}{2} = 5[/tex]
4x - y = 5 × 2
4x - y = 10
4x = y + 10
x = [tex]\frac{y + 10}{4}[/tex]
hope this helps
Dave bakes 12 cakes in 3 minutes. If b represents the numbers cakes David bakes in minutes . What is a linear equation that represents this situation
Answer:
The linear equation will be:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes
Step-by-step explanation:
Let 'b' represents the numbers of cakes David bakes in minutes.
Let 'a' represents the time David takes to make 12 cakes
As Dave bakes 12 cakes in 3 minutes.
unit rate = 12/3 = 4 cakes / per minute
The unit rate can also be treated as a slope as it is just representing the rate of change.Thus, the linear equation will be:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes
VERIFICATION
if a = 3 minuts
then
b = 4(3) = 12 cakes
and
if a = 2 minutes
then
b = 4(2) = 8 cakes
and
if a = 1 minute
then
b = 4(1) = 4 cakes
Thus, the required equation is:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes