Answer:
The expression for the width of the rectangle is [tex]9x^{5}y^{5}[/tex].
Step-by-step explanation:
The formula to compute the area of a rectangle is,
[tex]Area=length\times width[/tex]
Given:
Area = [tex]45x^{8}y^{9}\ square\ yards[/tex]
Length = [tex]5x^{3}y^{4}\ yards[/tex]
Determine the expression for the width of the rectangle as follows:
[tex]Area=length\times width\\45x^{8}y^{9}=(5x^{3}y^{4})\times width\\width = \frac{45x^{8}y^{9}}{5x^{3}y^{4}} \\=\frac{45}{5}\times [x^{8-3}]\times [y^{9-4}]\\ =9x^{5}y^{5}[/tex]
Thus, the width is [tex]9x^{5}y^{5}[/tex].
show work please~
there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint
for every 1 cup of blue paint, ___ cups of red paint are needed
for every 1 cup of red paint, ___ cup of blue paint is needed
for every 4 cups of red paint,___ cups of blue paint are needed
For every 1 cup of blue paint, [tex]\frac{10}{4}[/tex] cups of red paint are needed
For every 1 cup of red paint, [tex]\frac{4}{10}[/tex] cup of blue paint is needed
For every 4 cups of red paint, [tex]\frac{16}{10}[/tex] cups of blue paint are needed
Solution:
Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint
Therefore, ratio is
[tex]Red : blue = 3\frac{1}{3} : 1\frac{1}{3}\\\\Red : blue = \frac{10}{3} : \frac{4}{3}[/tex]
For every 1 cup of blue paint, ___ cups of red paint are neededLet "x" be the cups of red paint needed
Then we get,
[tex]\frac{10}{3} : \frac{4}{3}\\\\x : 1[/tex]
This forms a proportion
[tex]1 \times \frac{10}{3} = \frac{4}{3} \times x\\\\x = \frac{10}{4}[/tex]
Therefore, 10/4 cups of red are needed for 1 cup of blue
For every 1 cup of red paint, ___ cup of blue paint is neededLet "x" be the cups of blue paint needed
Then, we get
[tex]\frac{10}{3} : \frac{4}{3}\\\\1 : x[/tex]
This forms a proportion
[tex]\frac{10}{3} \times x = \frac{4}{3} \times 1\\\\x = \frac{4}{10}[/tex]
Thus, 4/10 cups of blue are needed for 1 cup of red paint
For every 4 cups of red paint,___ cups of blue paint are neededLet "x" be the cups of blue paint needed
Then, we get
[tex]\frac{10}{3} : \frac{4}{3}\\\\4 : x[/tex]
This forms a proportion
[tex]\frac{10}{3} \times x = \frac{4}{3} \times 4\\\\x = \frac{16}{10}[/tex]
Thus 16/10 cups of blue paint are needed for every 4 cups of red paint
The ratio of red paint to blue paint is 5:2. Therefore, for every 1 cup of blue paint, 2.5 cups of red paint are needed, for every 1 cup of red paint, 0.4 cup of blue paint is needed and for every 4 cups of red paint, 1.6 cups of blue paint are needed.
Explanation:The initial statement tells us that the ratio of red paint to blue paint needed is 3 1/3:1 1/3. Converting these mixed numbers into improper fractions, that ratio transforms to 10/3:4/3, which simplifies further to 5:2.
So, if you reduce it down:
For every 1 cup of blue paint, 5/2 or 2.5 cups of red paint are needed.For every 1 cup of red paint, 2/5 or 0.4 cup of blue paint is needed.For every 4 cups of red paint, 4*(2/5) or 1.6 cups of blue paint are needed.Learn more about Ratios here:https://brainly.com/question/32531170
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What is the median value of the data set shown on the line plot?
LMK answer fast!!
Answer:
i cant solve it for you but i will tell you how to do it
Step-by-step explanation:
You add them all up from least to greatest on a piece of paper then use your two fingers starting from the least and the greatest and go down the line if you get more than 1 number you must add them both up and divide by 2.
Which number has exactly 3 factors?
2
4
6
8
Answer:
Given a number N, print all numbers in range from 1 to N having exactly 3 divisors. Examples: Input : N = 16 Output : 4 9 4 and 9 have exactly three divisors. Divisor Input : N = 49 Output : 4 9 25 49 4, 9, 25 and 49 have exactly three divisors.
Step-by-step explanation:
What is the least common multiple of 8, 6, 9, and 5?
Answer:
LCM= 360
Steps:
8=2*2*2
6=2*3
9=3*3
5=1*5
2*2*2*3*3*5
8*9=72*5=360
Answer:
Step-by-step explanation:
p² +6r - 27
factoring quadratics
Step-by-step explanation:
look at the picture shown
Is d(10 + 20) equivalent to d x 10 + 20 X d?
Use a property, or properties, to explain. Please help : ‘ 0
Pleas do step by step!!! If you can’t that’s fine but if you’d like to p l e a s e
Answer:
Yes, it is.
Step-by-step explanation:
d(10 + 20) is equivalent to d * 10 + 20 * d. This can be proved with the distributive property, which states that a(b + c) = ab + ac.
Using the distributive property of multiplication over addition and the commutative property of multiplication, it is proven that d(10 + 20) is equivalent to d × 10 + 20 × d.
The question asks if the expression d(10 + 20) is equivalent to d × 10 + 20 × d, using properties of mathematics to explain.
First, let's simplify the expressions using the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Applying this property, d(10 + 20) becomes d × 10 + d × 20.
Comparing d × 10 + d × 20 with d × 10 + 20 × d, we see they are indeed the same because multiplication is commutative—meaning the order of the operands does not change the result. Therefore, d(10 + 20) is equivalent to d × 10 + 20 × d.
Multiply the binomials (4x + 7) and (2x - 8).
Answer:
8x^2-18x-56
Step-by-step explanation:
(4x+7)*(2x-8)=
4x*2x+4x*(-8)+7*2x+7*(-8)=
8x^2-32x+14x-56=
8x^2-18x-56
8 plus 4 times a number is greater than 5 times the number
Answer:
x<8
Step-by-step explanation:
4x+8>5x
8>5x-4x
8>x
A circle with radius of 6 cm sits inside a circle with radius of 9 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
Equation for the area of a circle- π r²
The 2 radiuses are 6 and 9.
6 squared is 36 and 9 squared is 81.
The smaller one is 36π and the larger one is 81π.
The difference between them is the area of the shaded region.
81π - 36π = 45π
Use 3.14 for π.
45 x 3.14 = 141.3 u²
Hope this helps!
A circle is a curve sketched out by a point moving in a plane. The area of the shaded region is equal to 141.37 cm²
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the shaded region can be found by subtracting the area of the larger circle from the area of the smaller circle. Therefore, the area of the shaded region is,
Area = π(9 cm)² - π(6 cm)²
= 141.37 cm²
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A and B are independent events.
P(A) = 0.40
P(B) = 0.30
what is P(A|B)?
Answer: P(A|B) = 0.40.
Step-by-step explanation: Since A and B are independent events, P(A|B) = P(A).
Therefore, P(A|B) = 0.40.
The probability of A given B is 0.40.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Since A and B are independent events, we know that:
P(A and B) = P(A) x P(B)
But since they are independent, we also know that:
P(A and B)
= P(A) x P(B|A)
= P(B) x P(A|B)
Thus:
P(A|B) = (P(A) x P(B|A)) / P(B)
We are given that P(A) = 0.40 and P(B) = 0.30.
We don't know P(B|A), but since A and B are independent, we know that:
P(B|A) = P(B)
So,
P(A|B) = (0.40 x 0.30) / 0.30 = 0.40
Thus,
The probability of A given B is 0.40.
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What is the solution to this polynomial equation? x3 + 2x2 - 4x - 8 = 0
Final answer:
The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, which yields the solutions x = -2 and x = 2.
Explanation:
The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, using synthetic division, or by using numerical methods such as graphing or using a calculator. Let's use factoring to find the solution.
We can begin by factoring out the greatest common factor, which is 1:
x³ + 2x² - 4x - 8 = (x + 2)(x² - 4)
We can further factor the quadratic term using the difference of squares:
(x + 2)(x + 2)(x - 2) = 0
So, the solutions to the equation are x = -2 and x = 2.
What is the area of this figure?
Enter your answer in the box.
m²
Area of the figure is 532 m².
Solution:
In the given image the shape is splitted into 2 shapes.
First shape is the square.
In square 4 sides are equal.
Area of the square = side × side
= 18 m × 18 m
Area of the square = 324 m²
Second shape is the triangle in the bottom.
Base of the triangle = 18 m + 8 m = 26 m
Height of the triangle = 16 m
Area of the triangle = [tex]\frac{1}{2}\times{\text{base}}\times{\text{height}}[/tex]
[tex]$=\frac{1}{2}\times16\times26[/tex]
Area of the triangle = 208 m²
Area of the given shape = area of the square + area of the triangle
= 324 m² + 208 m²
Area of the given shape = 532 m²
Hence area of the figure is 532 m².
Answer: 532 is answer
Hope u get a good grade
what would a line look like if the equation is y=2
Rationalise: [tex]\frac{\sqrt{48} }{\sqrt{3} }[/tex]
Answer:
4
Step-by-step explanation:
Root(48)/Root(3)
= root(48/3)
= root(16)
=4
What the answer is to question number 4
In an orchard, there are 14 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
The ratio of apple trees to cherry tree is 14:1.
In the orchard, there are 14 apple trees and 1 cherry tree.
To find the ratio of apple trees to cherry trees, we simply divide the number of apple trees by the number of cherry trees, yielding 14:1.
This ratio indicates that for every cherry tree in the orchard, there are 14 apple trees.
Ratios express the relationship between different quantities, providing a comparative measure.
In this case, it illustrates the abundance of apple trees in relation to the singular cherry tree, highlighting the disparity in their numbers within the orchard.
I need help everyone so what is 9x9
The value of 9 × 9 is 81.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
The question is to find the product of 9 × 9.
By the definition of multiplication, 9 × 9 is the addition of the number up to 9 times.
That is, 9 × 9 can also be written as,
9 × 9 = 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9
Adding number 9 to itself 9 times we get 81.
So 9 × 9 = 81
Hence the product after multiplying 9 with 9 is 81.
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on a 45-45-90 angle and the hypotenuse is 2 square root of 14 what is x and y?
Final answer:
In a 45-45-90 triangle, with a hypotenuse of 2√14, both legs x and y are equal and their lengths can be found by dividing the hypotenuse by √2, which results in lengths of √14 for each leg.
Explanation:
In a 45-45-90 triangle, also known as an isosceles right triangle, the legs are of equal length and the hypotenuse is √2 times the length of one leg. If the hypotenuse is given as 2√14, we can use the fact that the hypotenuse is √2 times the length of a leg to find the length of the legs x and y.
Let x represent the length of one leg and y represent the length of the other leg. Since the triangle's legs are equal in this special triangle, x = y. The relationship between the legs and the hypotenuse in a 45-45-90 triangle can be expressed using the Pythagorean Theorem:
x² + y² = hypotenuse²
Solving for x and y, we get:
x = y = hypotenuse/√2 = (2√14)/√2 = √14
Therefore, in a 45-45-90 triangle with a hypotenuse of 2√14, both x and y, which are the lengths of the legs, are √14.
If you build a fence around garden that measures 10 x 15
feet; how many feet of chain link fence will you need
Answer:
We will need 50 feet of chain link fence to build a fence around the garden.
Step-by-step explanation:
Measurements of the garden = 10 * 15 feet
How many feet of chain link fence will you need to build a fence around the garden?
For answering the question, let's calculate the perimeter of the garden, this way:
Perimeter = 2 Width + 2 Length
Replacing with the values we have:
Perimeter = 2 * 10 + 2 * 15
Perimeter = 20 + 30
Perimeter = 50 feet
Please help me on this math problem!
Answer:
427 feet.
Step-by-step explanation:
The sum of two numbers is 39. The smaller number is 11 less than the larger number. What are the numbers
Answer:
14 and 25
Step-by-step explanation:
x = smaller number
y = larger number
x + y = 39
x = y - 11
now we sub
y - 11 + y = 39
2y - 11 = 39
2y = 39 + 11
2y = 50
y = 50/2
y = 25 <=== larger number
x = y - 11
x = 25 - 11
x = 14 <==== smaller number
The problem can be solved by setting up and solving two algebraic equations. The two numbers in question are 25 and 14.
Explanation:The subject of this problem is algebra. To solve it, we can set up two equations based on the problem's statements, and then solve those equations.
First, we know that the sum of two numbers is 39, so we can write that as: x + y = 39 (Equation 1).
Second, we know that the smaller number is 11 less than the larger number. Assuming x is the larger number and y is the smaller one, we can write this as: y = x - 11 (Equation 2).
To solve these equations in parallel, insert Equation 2 into Equation 1, that results in: x + (x - 11) = 39. Solving this equation simplifies to 2x = 50, so x = 25. Substitute x = 25 in Equation 2, we get: y = 25 - 11 = 14. So, the two numbers are 25 and 14.
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Urgent. REALL URGENT. HHHHHHHHHHEEEEEEEEEEEEEEELLLLLLLLLLPPPPPPPPPPPPPPP MMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Subtract. 1.2 – (–7.8) 6.6 –6.6 9 –9
Option c : 9 is the answer.
Explanation:
The expression is [tex]1.2-(-7.8)[/tex]
We need to determine the subtracted value of the expression.
From the expression we can see that the expression contains two negative signs.
To simplify the expression, we know that, When we multiply two negative numbers then the product is always positive.
This means [tex](-) *(-) = +[/tex]
Thus, the expression can be written as
[tex]1.2+7.8[/tex]
Adding the two numbers, we get,
[tex]1.2+7.8=9[/tex]
Thus, the value of the expression is 9.
Hence, Option c is the correct answer.
what ordered pair is a solution for y-4=7(x-6)
Answer: People don't get confused by this guy the answer is basically clear its neither trust me guys.
The ratio of girls to boys in the 6th grade is to 6to7 how many girls are there if there are 364total students
Answer:
168 girls.
Step-by-step explanation:
There are a total of 6 + 7 = 13 'parts'.
So one part = 364 / 13 = 28.
So the number of girls = 6 * 28
= 168.
What 3 ratios that are equivalent
Answer:
1:2, 2:4, 3:6
Step-by-step explanation:
If you times 1:2 by 2, you get 2:4. If you times 1:2 by 3, you get 3:6.
You have to multiply each individual number in the ratio.
Answer:1:3
2:6
4:12
Step-by-step explanation:
What is 5 divided by 25
Answer:
0.2
Step-by-step explanation:
Answer: .2
Step-by-step explanation:
If the question was 25 divided by 5 it'll be 5 but because it's 5 divided by 25 the answer came out as a deciamal.
.2 can also mean it is 2/10 or maybe 20%
Can someone please help first answer gets Brainlist
Answer:
0.45
Step-by-step explanation:
Round the following
numbers to the nearest 100.
817 →
368 →
1,4 51 →
Answer:
817 ---- 800
368 ---- 400
1,451 ---- 1500
Shirts are nine dollars each you have a coupon that saves you five dollars off your purchase how much would it cost you to buy 6 shirts
Answer:$49.00
Step-by-step explanation:
9x5-5=$49
Kira ran three times last week. Here are the distances she ran (in kilometers).
19.16, 13, 8.27
What is the total distance Kira ran on these three days?
Answer:
40.43 Kilometers
Explanation:
19.16, 13, 8.27
19.16 + 13 + 8.27
= 40.43
Final answer:
The total distance Kira ran during the three days is the sum of the individual distances she ran on each day, which is 40.43 kilometers.
Explanation:
The total distance Kira ran on the three days is the sum of the distances she ran on each day. To find the total distance, you simply need to add up the three individual distances.
Add the first distance: 19.16 km
Add the second distance: 13 km
Add the third distance: 8.27 km
Calculate the sum: 19.16 km + 13 km + 8.27 km = 40.43 km
Therefore, the total distance Kira ran during the three days is 40.43 kilometers.