Answer: The length of rectangle is 15 cm and width is 20 cm
Step-by-step explanation:
As according to question
Let the width of rectangle = x cm
Length of rectangle =(x- 5) cm
Area of rectangle is 300 cm²
As we know Area of rectangle is given by
[tex]Area = length \times breadth \\\\\Rightarrow 300 = (x-5)x\\\\\Rightarrow 300 = x^2-5x\\\\\Rightarrow x^2-5x-300 = 0 \\\\\Rightarrow x^2-20x+15x-300 = 0 \\\\\Rightarrow x(x-20) +15(x-20) =0\\\\\Rightarrow (x-20)(x+15)=0[/tex]
Therefore either (x-20)= 0 or (x+15)=0
i.e. either x= 20 or x = -15
Now width can not be negative
Therefore it cant be -15
Hence the width is 20 cm
Length = x- 5 = 20-5 = 15 cm
Hence the length of rectangle is 15 cm and width is 20 cm
Final answer:
To find the dimensions of a rectangle when given the area, set up an equation using the information and solve for the unknowns.
Explanation:
To find the dimensions of the rectangle, we can set up an equation using the given information. Let's use 'L' to represent the length and 'W' to represent the width. The problem states that the length is 5 centimeters less than the width, so we can write the equation as: L = W - 5.
We also know that the area of a rectangle is found by multiplying the length and width together. In this case, the area is given as 300 square centimeters. So, we can write another equation: L * W = 300.
Now, we can substitute L = W - 5 into the second equation to solve for the width. (W - 5) * W = 300. Simplifying this equation will give us a quadratic equation, which we can solve to find the width. Once we know the width, we can subtract 5 to find the length.
Will give brainliest! please answer!
Answer:
B 5x = 25
Step-by-step explanation:
Please mark brainliest ;)
ΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.
Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45
What sub category best fits the following words from list 2
Answer:
It is discovery verbs
Step-by-step explanation:
Answer: Organized contests
Step-by-step explanation:
When you go to a tournament or a pageant, it’s most likely an organized event.
what goes in the purple box
Answer:
-4
Step-by-step explanation:
(x + -4) (28-7)
Answer: -4
Step-by-step explanation:
bc math
Select the statements that are true.
1. Correlation coefficients must be between 0 and 1
2. Correlation coefficients must be between-1 and 1
3. A correlation coefficient of r-0.92 indicates a strong positive correlation.
4. A correlation coefficient of r -0.01 means there is no significant correlation.
5. A correlation coefficient of r--0.17 indicates a strong, negative correlation.
6. Correlation coefficient is a numeric measure of the strength and the direction between two quantative variables.
The true statements regarding correlation coefficients are explained.
Explanation:The statement that are true regarding correlation coefficients are:
Correlation coefficients must be between -1 and 1A correlation coefficient of r -0.92 indicates a strong positive correlationA correlation coefficient of r -0.01 means there is no significant correlationA correlation coefficient of r -0.17 indicates a strong, negative correlationCorrelation coefficient is a numeric measure of the strength and the direction between two quantitative variablesCorrelation coefficients must be between -1 and 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation.
Solve the quadratic equation: 6x^2-15x=0
Answer:
x=0
x=5/2
Step-by-step explanation:
6x^2-15x=0
x(6x-15)=0
y=2x-3 what is the slope and what is the y-intercept
Answer: THe slope is 2 and y intercept is -3
Step-by-step explanation:
Answer:
Slope: 2
Y-intercept: -3
Step-by-step explanation:
The line is in point-slope form, or
y=mx+b
where m is the slope, and b is the y intercept
If we compare the 2 equations:
y=2x-3
y=mx+b
We can tell that the slope is 2, and the y-intercept is -3
What is 1,289,778 rounded to the nearest ten?
Answer:
1289780
Step-by-step explanation:
$32 for 8lbs of meat.
What is the unit rate?
Final answer:
The unit rate for meat priced at $32 for 8 pounds is $4 per pound. This method of calculation is important in retail settings, such as butcher shops, where items need to be labeled with the correct price per unit.
Explanation:
The unit rate is calculated by dividing the total price by the number of pounds of meat to determine the price per pound. For $32 and 8lbs of meat, the calculation is $32 ÷ 8lbs, which equals $4 per pound.
This price is a simplified example of how goods are priced on a per unit basis. For instance, if we were discussing the price of fish, the price per pound at an equilibrium quantity may be $3.25 per pound, which is specific to the commercial market.
Real-world Application
Grocery pricing often includes bulk pricing, discounts, or access fees, and the final cost consumers pay can be represented in various unit rates, like $xx.xx/unit in some cases. It’s important for workers in retail settings, such as at a butcher shop or grocery, to understand these concepts to label and price items accordingly.
You are working for a florist that specializes in weddings. You are preparing the flower arrangement orders for three weddings this weekend. The three weddings ordered 120 arrangements, 85 arrangements, and 46 arrangements. How many flower arrangements must you prepare?
Answer:
251 arrangement
Step-by-step explanation:
To know how many arrangements must be prepared in total, each amount of individual arrangement must be added, that is:
120 arrangement + 85 arrangement + 46 arrangement = 251 arrangement
Which means that for that weekend you have to prepare a total of 251 arrangements
In order to find out how many flower arrangements need to be prepared for the three weddings, simply add up all the ordered arrangements for each wedding. The total amounts to 251 flower arrangements.
Explanation:This question is related to the subject of Mathematics, specifically focused on the topic of addition. In this scenario, you are working for a florist and have been tasked with preparing flower arrangements for three weddings. Each wedding has ordered a specific number of arrangements: 120, 85, and 46.
To understand how many flower arrangements you need to prepare in total, you need to add all the numbers given: 120 + 85 + 46. The total number of arrangements you will need to prepare is 251 flower arrangements.
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The given sphere has a radius of 2 inches.
What happens to the volume if the radius is doubled?
lume of the new sphere is
than the volume of the original sphere.
times larger
Intro
Done
Answer: the correct answer is 8
A circle has a circumference of 25 meters. Find the length of an arc formed from a
central angle of 90°.
Answer:
If circumference = 25, then 90 degrees (one quarter of a circle) = 25 / 4 = 6.25 meters.
Step-by-step explanation:
En una huerta, el 20% de los kilos de fruta recogidos son limones, el 15% son peras, el 30% son nueces y el resto almendras. a) ¿Cuál es el porcentaje de almendras que se han recogido? b) Si en total se han recogido 140 kilos, ¿cuántos kilos se han recogido de cada fruto o fruto seco?
Answer:
The percentage of almonds that have been collected is 35%.
Step-by-step explanation:
The question is:
In an orchard, 20% of the kilos of fruit collected are lemons, 15% are pears, 30% are walnuts and the rest are almonds. a) What is the percentage of almonds that have been collected? b) If a total of 140 kilos have been collected, how many kilos have been collected from each fruit or nut?
Solution:
Consider that the percentage of all the fruits and nuts together in a orchard is 100%.
Percentage of lemons = L% = 20%
Percentage of pears = P% = 15%
Percentage of walnuts = W% = 30%
Percentage of almonds= A%
Compute the percentage of almonds that have been collected as follows:
L% + P% + W% + A% = 100%
20% + 15% + 30% + A% = 100%
A% = 100% - 65%
A% = 35%
Thus, the percentage of almonds that have been collected is 35%.
The total weight of products collected is 140 kg.
Compute the weight of lemons collected as follows:
[tex]\text{Weight of lemons}=140\times 20\%=28\ \text{kg}[/tex]
Compute the weight of pears collected as follows:
[tex]\text{Weight of pears}=140\times 15\%=21\ \text{kg}[/tex]
Compute the weight of walnuts collected as follows:
[tex]\text{Weight of walnuts}=140\times 30\%=42\ \text{kg}[/tex]
Compute the weight of almonds collected as follows:
[tex]\text{Weight of almonds}=140\times 35\%=49\ \text{kg}[/tex]
Kendra bought four boxes of donuts they were six donuts in each box she divided the donuts equally among eight people how many donuts to each person receive
Answer:
3
Step-by-step explanation:
Which type of angle is angle ABC
Answer:
I will say 90 degrees right angle. Have a great day.
Step-by-step explanation:
One integer is 5 more than another integer. Their sum is -13. What are the two integers?
Answer:
-4 and -9
Step-by-step explanation:
Let us use variables.
Let x = 5 + y
and x + y = -13
Now we can solve this problem.
x + y = -13
(5 + y) + y = -13
5 + 2y = -13
2y = -13 - 5
2y = -18
y = -9
x = 5 + -9
x = -4
The value of two integers are -4 and -9.
What is system of equation?A system of equations is a collection of two or more equations with a same set of unknowns. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
Let x and y be the two integers.
The equations are
One integer is 5 more than another integer,
[tex]x = y+5[/tex] --------- (1)
Their sum is -13,
[tex]x+y = -13[/tex] ------- (2)
Now substitute the x value of equation 1 in equation 2,
⇒ [tex](y+5)+y=-13[/tex]
⇒ [tex]2y=-13-5\\[/tex]
⇒ [tex]y=\frac{-18}{2}[/tex]
⇒ [tex]y=-9[/tex]
Now substitute the y value of equation 1,
⇒ [tex]x=-9+5[/tex]
⇒ [tex]x=-4[/tex]
Hence we can conclude that the value of two integers are -4 and -9.
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Quadrilateral PQRS is rotated 90° counterclockwise about the origin and then translated 6 units to the right to form Quadrilateral ZWXY
What segment has the same length as PQ?
a. WX
b. XY
c. YZ
d. ZW
Answer:
d. ZW
Step-by-step explanation:
Corresponding vertices are in the same order in the names of the quadrilaterals. That is P corresponds to Z; Q corresponds to W.
PQ ≅ ZW
When Quadrilateral PQRS is transformed by rotation and translation to form Quadrilateral ZWXY, the lengths of corresponding segments remain the same. Thus, the length of segment PQ is the same as segment ZW.
Explanation:In the realm of geometry, a rotation or translation doesn't change the size or length of a shape, only its position and orientation. Therefore, when Quadrilateral PQRS is rotated 90° counterclockwise about the origin and then translated 6 units to the right to form Quadrilateral ZWXY, all corresponding segments would still have the same lengths. Corresponding segments are those that have the same relative positions before and after the transformation. So, in this case, segment ZW has the same length as segment PQ because they are corresponding segments from the original quadrilateral and the transformed quadrilateral, respectively. Therefore, the answer is d. ZW.
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Brad is putting an 8- foot diameter circular flower garden in his yard. He will put plastic edging along the flowerbed. How many feet of edging will Bear need to enclose his flower garden ?
Harper has two cans of paint that he would like to combine into one can. If one can contains 6 11 ounces and the other can contains 22 7 ounces, can he pour them together into one 29-ounce can?
Answer:
Yes, he can.
Step-by-step explanation:
Harper has two cans of paint that he would like to combine into one can.
One can contains 6.11 ounces and the other can contains 22.7 ounces.
The total quantity of paint he has is:
6.11 + 22.7 = 28.81 ounces
Since 28.81 ounces is lesser than 29 ounces, he can put both cans of paint into the 29 ounce can of paint.
If X = 7 units, Y = 11 units, Z = 15 units, and h = 4 units, what is the surface area of the triangular prism shown above?
A.
419 square units
B.
330 square units
C.
359 square units
D.
463 square units
Answer:
B. 330 square units
Step-by-step explanation:
[tex] \frac{1}{2} \times11 \times 4 \times 15 \\ = 11 \times 2 \times 15 \\ = 330 \: square \: units[/tex]
On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.7, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.5, negative 2.75), (3, negative 2), (6, 4).
Which is the rate of change for the interval between 3 and 6 on the x-axis?
–3
–2
2
3
Answer:
2 (c)
Step-by-step explanation:
The rate of change between 3 and 6 is 2 option (C) 2 is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A graph of a parabola is shown in the table:
The rate of change between 3 and 6:
= (4 - (-2))/(6-3)
= (4 + 2)/(3)
= 6/3
= 2
Thus, the rate of change between 3 and 6 is 2 option (C) 2 is correct.
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Can you do this problem and show work
Answer:
[tex]2(3x+5)+5(2x+2)[/tex]
[tex]6x+10+5\left(2x+2\right)[/tex]
[tex]6x+10+10x+10[/tex]
[tex]16x+20[/tex]
[tex]8(3x+2)+7(x+3)[/tex]
[tex]24x+16+7x+21[/tex]
[tex]31x+37[/tex]
What is the answer ???
Answer:
The Answer is B
Step-by-step explanation:
The Japanese 5 yen coin has a hole in the middle.
What are the possible ways to calculate the difference
between the distances from the outer edges and the
inner edges of the coin? Check all that apply.
22 mm
Subtract the two diameters and multiply by it
Calculate the circumference of the coin.
Add the two diameters and multiply by it
Subtract the circumference of the hole from the
circumference of the coin.
Calculate the radius of the hole.
5 mm
Answer:
Subtract the two diameters and multiply by 0.5
Step-by-step explanation:
Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.
By subtracting the output we can then get the difference between both distances.
If hole diameter = 5mm and coin diameter = 22mm
Difference = [(22 - 5)mm] ÷ 2
17mm / 2 = 8.5mm
Answer:
Subtract the two diameters and multiply by 0.5
Step-by-step explanation:
Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.
By subtracting the output we can then get the difference between both distances.
If hole diameter = 5mm and coin diameter = 22mm
Difference = [(22 - 5)mm] ÷ 2
17mm / 2 = 8.5mm
Step-by-step explanation:
Cos -1 ( 1/2) is equal to
Answer:
It's equal to 0.4999238476
The value of Cos⁻¹(1/2) is π/3 radians or 60 degrees
To solve this:
Cosine function is positive in the first and fourth quadrants.
Cos(60°) = 1/2.
Cos⁻¹(1/2) = 60°.
In radians, this angle is π/3.
Therefore, the value of Cos⁻¹(1/2) is π/3 radians (or 60 degrees).
Help me solve this please!!!
Answer:
Step-by-step explanation:
i don't know but i'll help u a little put the dots together for the first one then do it for the rest sorry if i didn't help u
if h= 11 units and r=4 units then what is the approximate volume of the cone
Answer:
V≈184.31
Step-by-step explanation:
V=πr2h
3=π·42·11
3≈184.30677
Answer:
184.31
Step-by-step explanation:
volume= pie time radius cubed time the height thats divided by 3
¿Cuál es el valor de i51
?
A.
−1
B.
−i
C.
1
D.
i
Answer: Option B.
Step-by-step explanation:
We want to find the value of i^51
We know that
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
and it repeats with a period of 4, so i^5 = i^(1 + 4) = i^1= i, and so on.
so we can write it as:
x + n*4 = 51
where n is an integer number, and x is a number between 1 and 4.
clearly n must be an odd number, so we can try:
if x = 1.
1 + n*4 = 51
n*4 = 50
n = 50/4 = 12.5
This is not the solution for x, because n must be an integer number.
Now suppose x = 3.
3 + 4*n = 51
4*n = 48
n = 48/4 = 12
Then x is equal to 3, this means that:
i^51 = i^3*i^4*12 = i^3 = -i
The correct option is B
Find the solution to the system of equations,x+3y and 2x+4y=8
Answer:
x = -7/3y + 8/3
y = -3/7x + 8/7
Step-by-step explanation:
First, set the equations next to each other to find x and y, I'll start with x:
x + 3y + 2x + 4y = 8
Combine like terms
3x + 7y = 8
Subtract both sides by 7y
3x + 7y - 7y = 8 - 7y
3x = 8 - 7y
I'll re-order the equation to make it easier to divide
3x = -7y + 8
Divide both sides by 3
3x / 3 = -7y + 8 /3
x = -7/3y + 8/3
If you need decimals just divide with a calculator
Now to find y:
We already combined like terms so we don't need to do that again...
3x + 7y = 8
Subtract both sides by 3x
3x - 3x + 7y = 8 - 3x
7y = 8 - 3x
I'll reorder the equation once again so the variable comes first
7y = -3x + 8
Divide both sides by 7
7y / 7 = -3x + 8 / 7
y = -3/7x + 8/7
Again, use a calculator to divide completely for decimals.
URGENT
[tex]3y + 2x + 5 = 0 \\ what \: is \: th e \: gradient \: and \: y \: \\ intercept[/tex]
Answer:
Gradient is -2/3 and y-intercept is -5/3.
Step-by-step explanation:
First, you have to make y the subject by moving all the unrelated terms to the other side :
[tex]3y + 2x + 5 = 0[/tex]
[tex]3y = - 2x - 5[/tex]
[tex]y = - \frac{ 2}{3} x - \frac{5}{3} [/tex]
Next, given that the slope-form equation is, y = mx+b where m is the gradient and b is the y-intercept. (*In a slope-form equation, gradient will always stick with x)
In the equation above, m is -2/3 and b is -5/3.