Answer:
[tex]6\frac{11}{15}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3}[/tex] equals to [tex]\frac{7}{3}[/tex]
[tex]\frac{11}{5}+\frac{11}{5}=\frac{22}{5}[/tex]
but the denominator is not the same in [tex]\frac{7}{3}[/tex] and [tex]\frac{22}{5}[/tex]. So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.
[tex]\frac{7}{3}*\frac{5}{5} =\frac{35}{15}[/tex]
[tex]\frac{22}{5}*\frac{3}{3} =\frac{66}{15}[/tex]
[tex]\frac{35}{15} +\frac{66}{15} =\frac{101}{15}[/tex]
[tex]\frac{101}{15} =6\frac{11}{15}[/tex]
LMNP is a rectangle. Find the value of x and the length of each diagonal.
The value of x is equal to 3.
The length of diagonal LN is equal to 18 units.
The length of diagonal MP is equal to 15 units.
What is a diagonal?In Mathematics, the diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.
This ultimately implies that, the length of each diagonal of a rectangle is always equal to each other. Therefore, the diagonals of any rectangle is always equal to one other.
How to determine the value of x?We would determine the value of x by equating the length of each diagonal as follows;
LN = MP
7x - 3 = 4x + 3.
7x - 4x = 3 + 3
3x = 6
x = 6/2
x = 3.
Next, we would calculate length of each diagonal as follows;
LN = 7x - 3
LN = 7(3) - 3
LN = 21 - 3
LN = 18 units.
MP = 4x + 3.
MP = 4(3) + 3.
MP = 12 + 3
MP = 15 units.
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Complete Question:
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 7x - 3 and MP = 4x + 3.
Find the perimeter of the polygon.
S cm
6 cm
6 cm
8 cm
a. 25 cm
b. 20 cm
C. 30 cm
d. 28 cm
Please select the best answer from the choices provided
Ο Α
Answer:
A. 25 cm
Step-by-step explanation:
Perimeter of a polygon = the sum of all sides of the polygon
Therefore,
Perimeter of the given polygon = 5 + 6 + 8 + 6
Perimeter = 25 cm
Help! Cant figure out math question!
Fine the volume for the shape below:
Please help ASAP, will mark brainlist.
WILL MARK BRAINLIEST!
Calculate mF in parallelogram FGDE.
Order from least to greatest √_220 , -10, √_100 , 11.5
Answer: -10, √_100, 11.5, √_220
Step-by-step explanation:
-10 is the least bc it just is and √_100 simplified is 10 and 11.5 is a little greater so duh and √_220 simplified is 14.83
Half of the class of 40 students are absent. How many students are absent today?
Answer:
20 students were absent
Step-by-step explanation:
Half means divide by 2:
40/2 = 20
PLEASE HELP ME! There are 2 Images below!!!
Answer:
A
Step-by-step explanation:
The slop formula is [tex]\frac{rise}{run}[/tex] and in the first one the rise increase per y (x) is 2 units and the run (y) is 1 as we calculated the run as how many units x rises per y and A is the answer due to it being the one which follows the rule.
The weight of the square is 10 grams. How much heavier is the circle than the square?
The weight of the circle is heavier than the weight of the square by the weight of the triangle
How to find how much weightier is the circle as compared with the squareExamining the weights, can lead to a linear equation, the equation will have the follows parameters
let t represent triangle
let c represent circle
let s represent square
6s + 3t = 3s + 3c
6s - 3s + 3t = 3s + 3c
3s + 3t = 3c
divide through by 3
s + t = c
10 + t = c
From the equation 10 + t = c we can say that the weight of the circle is a triangle weight more than the square
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if you earn 3250 over the 10 year period, how much will be in the account at the end of the 10 year period?
If earning 3250 per month over 10year period, At the end of 10th year, the amount on the account will be 390,000
What is multiplication?To multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.
The amount earned In a month is 3250.
There are 12 months In a year.
The total month in 10 years = 10× 12 = 120 months
The total amount in the account for 10years = 120×3250 = 390,000
Therefore there will be 390000 in the account at the end of 10th year.
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(6 × 10a) + (6 × 10b) + (6 × 10c) = 6006.6
Write down a possible set of values of a, b and c.
The values of a , b and c from the equation is ( 3 , 0 , -1 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
( 6 × 10ᵃ ) + ( 6 × 10ᵇ ) + ( 6 × 10^c ) = 6006.6 be equation (1)
Now , the number 6006.6 is written as
6000 + 6 + 0.6 = 6006.6
On simplifying the equation , we get
( 6 × 10ᵃ ) = 6000
Divide by 6 on both sides of the equation , we get
10ᵃ = 1000
So , 10ᵃ = 10³
Therefore , the value of a = 3
Now , ( 6 × 10ᵇ ) = 6
Divide by 6 on both sides of the equation , we get
10ᵇ = 1
when b = 0
10⁰ = 1
Therefore , the value of b = 0
Now , ( 6 × 10^c ) = 0.6
Divide by 6 on both sides of the equation , we get
10^c = 0.1
when c = -1
10⁻¹ = 0.1
Therefore , the value of c = -1
Hence , the value of a , b and c is 3 , 0 and -1 respectively
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How many solutions do the systems of equations have?
y =-1/3 x + 9
y =- 2/6x
What is a remainder
A remainder is the remaining amount of a number than comes out of a division. I'm not sure how to explain it better, so I'll give you an example:
Let's say you want to divide 5 by 2. We know that 5 can't be divided by 2 evenly, it won't give you a whole number. Instead it will give you a decimal 2.5.
In this case, 1 is the remainder and I will explain why! Do the long division for 5/2. 2 fits into 5 two times, so you multiply 2 * 2, which gives you 4. If you subtract that number from 5, you get 1. We know that 2 can't fit into one, therefore, 1 is the remainder. once you start getting into decimals, you can fit numbers into other numbers, which is why technically you can fit 2 into 5, but you can't fit it in evenly, if that makes sense!
I hope this example helps see what a remainder is. It's just the number in a long division that the divisor (in my example, 2 is the divisor) can't fit in!
Suppose we want to choose 6 letters with out replacement from 13 distinct letters. How many ways can this be done if the order of the choices is not relevant? How many ways can this be done if the order of the choices is relevant?
Suppose we want to choose 6 letters with out replacement from 13 distinct letters.
a. The number of ways this be done if the order of the choices is not relevant is 1,235,520 ways.
b. The number of ways this be done if the order of the choices is relevant is 1716 ways.
How to find the number of ways?a. Number of ways if choice are not relevant
[tex]^nP_r = n!/ (n-r)![/tex]
Where:
n =13
r = 6
So,
[tex]^1^3P_6[/tex] = 13! / (13 - 6)!
[tex]^1^3P_6[/tex] =6,227,020,800 /7!
[tex]^1^3P_6[/tex] =6,227,020,800/5,040
[tex]^1^3P_6[/tex] = 1,235,520 ways
b. Number of ways if choice are relevant
[tex]^nC_r =n!/ r! (n-r)![/tex]
[tex]^1^3C_6[/tex] = 13! / 6!(13-6)!
[tex]^1^3C_6[/tex] = 13! / 6! × 7!
[tex]^1^3C_6[/tex] =6,227,020,800 / 720×5040
[tex]^1^3C_6[/tex] =6,227,020,800 / 3,628,800
[tex]^1^3C_6[/tex] = 1,716 ways
Therefore the number of ways are 1,235,520 ways and 1,716 ways.
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Which value makes the number sentence true?
Answer:
D) 19
Step-by-step explanation:
-7 + 19 = 12
Find the area. The figure is not drawn to scale.
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
Answer:
[tex](a)\ Area = 28.12cm^2[/tex]
[tex](b)\ Volume = 1437.33cm^3[/tex]
Step-by-step explanation:
Solving (a): The parallelogram
[tex]h = 7.6[/tex] --- height
[tex]b = 3.7[/tex] --- base
The area is calculated usng:
[tex]Area = base * Height[/tex]
[tex]Area = 3.7 * 7.6[/tex]
[tex]Area = 28.12cm^2[/tex]
Solving (b): The sphere
[tex]d = 14cm[/tex]
Required
The volume
First, calculate the radius
[tex]r = d/2[/tex]
[tex]r = 14cm/2 = 7c,[/tex]
The volume is calculated using:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
This gives:
[tex]Volume = \frac{4}{3} * \frac{22}{7} * 7^3[/tex]
[tex]Volume = \frac{4}{3} * 22 * 7^2[/tex]
[tex]Volume = \frac{4}{3} * 1078[/tex]
[tex]Volume = \frac{4*1078}{3}[/tex]
[tex]Volume = \frac{4312}{3}[/tex]
[tex]Volume = 1437.33[/tex]
The manager of an apartment complex is ordering new tile to lay around the perimeter of the apartments swimming pool. The specifications for the pool are shown below. The solid lines represent the perimeter of the pool.
What is the approximate perimeter of the pool?
Answer: 158 feet
Step-by-step explanation: I’ve gotten this question right on a test.
The approximate perimeter of the pool will be 157.36 feet.
What is the perimeter of the shape?The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
The perimeter of the shape is a combination of the perimeter of two small quarter circles, one big circle, and the sides of a rectangle. Then the perimeter is calculated as,
P = πr + 2L + w + πR
P = 3.14 x 9 + 2 x 35 + 12 + 3.14 x 15
P = 157.36 feet
The approximate perimeter of the pool will be 157.36 feet.
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What is the axis of symmetry for a parabola expressed by the quadratic equation? y=x^2+10x-25
Answer:
the axis of symmetry is: x=-5
4. The profit on one share is Rs20.What is the profit on 5000 shares?
Answer:
The profit is: [tex]Rs100000[/tex]
Step-by-step explanation:
Given
[tex]1 \to Rs20[/tex]
Required
Profit on 5000
Repesent this as: x
So, we have:
[tex]1 \to Rs20[/tex]
[tex]5000 \to x[/tex]
Cross Multiply
[tex]x * 1 = Rs20 * 5000[/tex]
[tex]x * 1 = Rs100000[/tex]
The profit is: [tex]Rs100000[/tex]
Write an explicit formula for An, the nth term of the sequence 16, -8,4, ....
Answer:16(-1/2)^n-1
Step-by-step explanation:
NO LINKS!!!
A researcher found the average cost of one and two-bedroom apartments for different cities and graphed the data in a scatter plot, with costs of one-bedroom apartments along the x-axis. The variables have a strong linear correlation and the equation for the regression line is yˆ=1.182x+19.096 .
Based on the equation, what should the researcher expect for the average cost of a two-bedroom apartment in a city where the average cost of a one-bedroom apartment is $815?
Answer:
i hope it helps mapriend
20. You are buying new car for $24,320. You must put down 17%. How much will you need to finance the car for?
17 percent of 24320 is 4134.4
basically minus that
so
24320 - 4134.4 = 20,185.60
Answer:
24320 - 4134.4 = 20,185.60
Step-by-step explanation:
:)
3) From the figure below, give the area of the shaded blue region
Please ignore the little squares in the corners,
15 cm
9 cm
6 cm
10 cm
Please help me
Answer:
15 cm
Step-by-step explanation:
This could help
go to you tube and paste Area of Shaded Region - Circles, Rectangles, Triangles, & Squares - Geometry
The Organic Chemistry Tutor
Answer:
96 cm²Step-by-step explanation:
Required area is:
A = 10*15 - 6*9 = 96 cm²This is just a end of grade test question, I’m wondering, when you search up “5th Grade Eog (Math/Science/Reading)” It shows something called the ‘released’ EOG. Is that the actual EOG or is it just practice? Please someone tell me!
Answer:
it just a released test from previous year. It is not the real test . I may be use as a practice.
Step-by-step explanation:
mark is thinking of two numbers
his two numbers have a positive sum but a negative product
give an example of what hi numbers could be ?
9514 1404 393
Answer:
-2, 3
Step-by-step explanation:
For the product to be negative, exactly one of the two numbers must be negative. For the sum to be positive, the positive number must be larger than the absolute value of the negative number.
One such pair of numbers is -2 and 3.
__
Their product is -6; their sum is +1.
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=26°, and OP = 13 feet. Find the length of PN to the nearest tenth of a foot.
Answer:
b
Step-by-step explanation:
A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $17 per kilogram and Pennsylvania Jack that costs $8 per kilogram. How many kilograms of each were used to make a 6-kilogram mixture that costs $10.25 per kilogram? pepper cheddar kg Pennsylvania Jack kg
Answer:
The quantity of pepper cheddar cheese required = 2.5 kilograms
The quantity of Pennsylvania Jack required = 4.5 kilograms
Step-by-step explanation:
Let x = Quantity of pepper cheddar cheese
y= Quantity of Pennsylvania Jack
As per given , we have the following system of equations:
Multiply 8 to equation(1) , we get
Eliminate (3) from (2) , we get
Put value of x in (1) , we get
Hence, the quantity of pepper cheddar cheese required = 2.5 kilograms
The quantity of Pennsylvania Jack required = 4.5 kilograms
3y+2=2x is this a direct variation
The equation 3y + 2 = 2x is not a direct variation
How to determine if the equation is a direct variation
From the question, we have the following parameters that can be used in our computation:
Variation = direct variation
3y + 2 = 2x
A direct variation is represented as
y = kx
Where k is the constant of proportion
When the equations y = kx and 3y + 2 = 2x are compared, we can see that
The equation 3y + 2 = 2x has a constant term
Hence, the equation is not a direct variation
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Please help with this question and please no links or things unrelated to the problem. Best answer gets Brainliest :)
Answer:
D. X= -3/2, y= 4
Step-by-step explanation:
Just took the test
please help me thank you so much
Answer:
12(7-3) and 2-0.5
Step-by-step explanation:
All the rest are either terms or equations. The top left one is a term, and all the rest have equal signs, so they're equations. Only the bottom left and bottom right ones are expressions.