Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. Write the ratio of red grapes to blueberries in simplest form. [Type your ratio using a colon and without spaces.]

Answer:

33 blue marbles

Step-by-step explanation:

sum up all the ratio

4+2+3+8=17

since we are looking for blue then we take a ratio of the blue marbles multiplied by the total number of marbles

3/17 *187

= 33

Answer:

33 blue marbles

Explanation:

As we are finding only how many blue marbles are there, we can make the ratio 3:14 instead, 3 being the blue marbles and 14 being other colors. This ratio is 17 then. There are 187 marbles in the bag, and there are eleven 17s in 187 (this can be calculated by doing 187 ÷ 17 to get 11) so you just multiply 3 and 11 to get 33.

Hope this helps! :D

Answer: 459 cheeseburgers

Step-by-step explanation:

To find out the number of cheeseburgers that can be made, divide the amount of meat set aside by the amount of meat it takes to make one cheeseburger.

The amount of meat they have is:

= 114²/₃

= 344/3

Number of cheeseburgers is:

= 344/3 ÷ 1/4

= 344/3 * 4/1

= 1,376 / 3

= 458.67

= 459 cheeseburgers

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

Answer:

x = 5

Step-by-step explanation:

x2 means that we are multiplying a number to get 10, therefore you divide 10 and 2 which is 5.

You can check your answer by replacing the 5 and then it would be 5 times 2 which equals 10 hope that helps

Answer:

Step-by-step explanation:

9

Answer:

2280

Step-by-step explanation:

The two options that could result from combining two linear functions with addition are "16x – 12" and "17x – 12". The r to your question is:

To combine two linear functions with addition, you simply add the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with addition, you add the coefficients of x and the constant terms. So, 3x + 4 + 2x - 5 becomes (3 + 2)x + (4 - 5) = 5x - 1.

To combine two linear functions with multiplication, you multiply the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with multiplication, you multiply the coefficients of x and the constant terms. So, (3x + 4)(2x - 5) becomes

(3 * 2)x^2 + (3 * -5)x + (4 * 2x) + (4 * -5)

= 6x^2 - 15x + 8x - 20

= 6x^2 - 7x - 20.

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Answer: g(f(10)) = g(√2x+5) = 6x-3

We need to substitute x = √2*10 + 5 into g(x) = 6x - 3

g(f(10)) = 6(√2*10 + 5) - 3 = 6√20 + 30 - 3 = 6√20 + 27

So g(f(10)) = 6√20 + 27.

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ - 2, - 1 ] , then

f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )

f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus

average rate of change = \(\frac{5-7}{-1-(-2)}\) = \(\frac{-2}{1}\) = - 2

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

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When the eigenvalues of a matrix are equal, it means that the matrix has repeated eigenvalues. This can occur for matrices of any size, but is most commonly encountered for 2x2 or 3x3 matrices.

When a matrix has repeated eigenvalues, it can exhibit some special behaviors that are not observed for matrices with distinct eigenvalues. In particular, the matrix may not be diagonalizable, meaning that it cannot be transformed into a diagonal matrix using a change of basis. Instead, it may have only one eigenvector associated with the repeated eigenvalue, or it may have a full set of linearly independent generalized eigenvectors.

In the case of a 2x2 matrix A with repeated eigenvalues λ, the matrix may be expressed in Jordan canonical form as:

A = P * J * P^-1

where J is a matrix with λ on the diagonal and 1 on the super-diagonal, and P is the matrix whose columns are the eigenvectors and generalized eigenvectors of A. In this case, the solutions of the system x' = Ax may have a non-trivial component along the generalized eigenvector, which can lead to more complicated behavior than for matrices with distinct eigenvalues.

Overall, the presence of repeated eigenvalues in a matrix can indicate that the matrix has some special structure or symmetry, and may require additional techniques beyond diagonalization to fully understand its behavior.

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Answer:

2 sides are \(\frac{33}{13}\) or 2.5

2 sides are \(\frac{47}{13}\) or 3.6

Step-by-step explanation:

There must be 2   2x+3s  and 2   3x+2s

The perimeter is the sum of the sides (it has 4 sides)

2(2x+3) + 2(3x+2) = 4(4x-5)

distributive property

2*2x + 2*3

4x+6

other one

2*3x + 2*2

6x+4

perimeter

4*4x + 4*-5

16x-20

together...

(4x+6) + (6x+4) = 16x-20

add like terms

10x+10 = 16x-20

add 20 to both sides

10x+30 = 16x

subtract 10x from both sides

30 = 26x

divide by 26 on both sides

\(\frac{30}{26} = x\)

simplify

\(\frac{15}{13}\)

Substitute the x value

2 of the sides are 2x+3

so

\(2(\frac{15}{13} ) + 3\)

\(\frac{30}{13} + \frac{3}{1}\)

\(\frac{33}{13}\)

or 2.5

other sides

\(3(\frac{15}{13} ) + 2\)

\(\frac{45}{13} + \frac{2}{1}\)

\(\frac{47}{13}\) or 3.6

That's all I can say for now! Hope this helps and a thank won't hurt! :)

Answer:

 50 %

Step-by-step explanation:

From the diagram attached,

Percentage of total students that like watching television = [(WnR)/μ]×100......... Equation 1

The number of students that like watching television and reading (WnR) = 70

The total number of students (μ) = 40+20+70+10

The total number of students (μ) = 140

Substitute these values into equation 1

Percentage of total students that like watching television = (70/140)×100

Percentage of total students that like watching television = 1/2(100)

Percentage of total students that like watching television = 50 %

The relation {(1, 1), (1, 2), (2, 2), (2,3), (3, 3), (4,4)} is a poset on A={1,2,3,4}. The given statement is False.

Since poset is a reflexive relation which is antisymmetric and transitive in nature whereas in the given relation {(1, 1), (1, 2), (2, 2), (2,3), (3, 3), (4,4)} which is not a partial order since it is not anti-symmetric, as both (1,2) and (2,1) are in the relation, but 1 ≠ 2.

An equivalence relation is a relation that is reflexive, symmetric, and transitive. But in the relation A={(1,1),(1,2),(2,2),(2,1),(3,3),(4,3),(3,4),(4,4)} it is not reflexive as 5 is also an element of A which is not present in the relation. There can be a graph with degree sequence 5,4,3,2,2,2,1The given statement is True.

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The amount received by Ahmed is 168 gm.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

Here, let the amount received by Ahmed be 7x

          and amount received by Babar be 3x

       Total amount of sweets = 240 gm

Now, according to question,

           7x + 3x = 240

              10x = 240

               x = 240/10

              x = 24

Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

0.48 feets

Step-by-step explanation:

Given that :

Length of stone = x

Number of stones used = 25

Length of path made from the stones = 12 feets

Hence. The length of each stone could be obtained by dividing the length of path by the number of stones used :

length of path / number of stones

= 12 feets / 25

= 0.48 feets

Hence length of each stone = 0.48 feets

Answer: First point 6x -2y and second point 3x 4y

Step-by-step explanation:

Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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The correct answer is 5/8. Option b)

In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases.

from given statements that, the product of n x 4/5 is greater than 4/5 because multiplication always increases a number.

n × 4/5 > 4/5  ⇒?

so, what are the "n" values will prove that above statement is incorrect.

so, if we put the all given options values of "n" in n × 4/5, then

⇒ n=2

8/5 > 4/5

⇒ n=5/8

20/40 < 4/5

⇒ n=6/6

1 > 4/5

⇒ n=7/6

28/30 > 4/5

⇒ n=5/4

20/4 > 4/5

Therefore, The correct answer is 5/8. Option b)

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

(6.5,4)

Step-by-step explanation:

First write the formula of finding the midpoint...

step 1: M=(x1+x2÷2,y1+y2÷2)

step 2:substitute for coordinates x1,x2,y1 and y2

step 3:(8+5÷2,2+6÷2)

step 4:(13÷2,8÷2)

then you get the answer...which is

step 5: (6.5,4)

im done

Answer:

(6.5,4)

Step-by-step explanation:

The perimeter of the rug is 37.2

The first line says that the rug is twice as long as its width. If the width is taken as w and length is taken as l, we get an equation l= 2w. Since it is a rectangle, the area of the rectangle will be (length*width) which is equal to l*w.

Since l=2w, area = 2w*w = 2w^2. This is given equally to 76.88.

2w^2 = 76.88

w^2 = 38.44

w = 6.2

l = 2w = 2*6.2 = 12.4

Now, perimeter of rectangle is 2w+2l = 2*6.2 + 2*12.4 = 37.2

Hence the perimeter of the rug is 37.2

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Answer:

Matt had 14 bears

Step-by-step explanation:

We already know how many dinosaurs Matt has, but fewer means that we need to subtract. However, we don't know how many bears there are, so we will have to leave it blank.

The equation should look like this:  ?-9=5

To find out the missing number we would add 9 and 5 which equals 14.

Answer:

512cm

Step-by-step explanation:

same length of 128 4 times. 512