Shade in the grid to represent the ratio. Then find the missing number.

Final answer:

To find Seth and Eric's current ages, we can set up two equations using the given information and solve them simultaneously.

Explanation:

To solve this problem, let's start by assigning variables to the ages of Seth and Eric. Let Seth's age be represented by 'S' and Eric's age be represented by 'E'. We are given that currently Seth's age is 4/5 the age of Eric:

S = (4/5)E

We are also given that twenty-one years ago Eric was twice as old as Seth:

E - 21 = 2(S - 21)

Now we can solve these equations simultaneously to find their current ages. Let's substitute the value of S from the first equation into the second equation:

E - 21 = 2((4/5)E - 21)

Simplifying the equation, we get:

E - 21 = (8/5)E - 42

Moving all the terms with 'E' to one side, we get:

(8/5)E - E = 42 - 21

Simplifying further, we get:

(3/5)E = 21

To solve for E, we can multiply both sides of the equation by 5/3:

E = (5/3) * 21 = 35

Now that we know Eric's age, we can substitute this value back into the first equation to find Seth's age:

S = (4/5) * 35 = 28

Therefore, Eric is currently 35 years old and Seth is currently 28 years old.

The percent increase after decreasing the dimensions of a rectangle is 66.67%

The question asks for the percent increase in area when the dimensions of a rectangle are decreased, which necessitates understanding of area calculations and percentages. Initially, the rectangle had an area of 24 square feet, which reduced to 6 square feet upon decreasing each dimension by 2 units.

To find the percent increase, one should first understand that a decrease in area actually implies a percent decrease, rather than an increase.

Find the area of the original rectangle: 4 units x 6 units = 24 square feet

Find the area of the new rectangle: (4 - 2) units x (6 - 2) units = 8 square feet

Calculate the percent increase: ((24 - 8) / 24) x 100% = 66.67%

The square root of 106 is between 10 and 11. So, the two consecutive whole numbers are 10 and 11.

The student is asking about the whole numbers that the square root of 106 lies between. To determine this, we calculate the square roots of numbers near 106. The square root of 100 is 10 and the square root of 121 is 11. Therefore, the square root of 106 lies between 10 and 11. So, the two consecutive whole numbers that the square root of 106 lies between are 10 and 11.

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The values of a and b in the expression given are 11 and 7 respectively

Let the numbers be : a and b

The sum of the numbers equals 18 :

The difference of the numbers equal 4 :

From (1):

Substitute the value of a in (3) into (2)

18 - b - b = 4

Collect like terms

18 - 2b = 4

-2b = 4 - 18

-2b = - 14

b = 14 / 2

b = 7

From (3)

Therefore, the values of a and b are 11 and 7 respectively

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Answer:

46√+26√−6√ It Is 5√-6

Answer:

The answer is: [tex]5\sqrt{6}[/tex]

good luck!

The equation of the given graph will be y=-3/2x+3 so none of the options will be correct.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

The point of intersection of the line and x-axis = (2,0)

The point of intersection of the line and y-axis = (0,3)

The slope of the graph or line

Slope = differcne in ys coordinate/difference in xs coordinate

Slope(m) = (3-0)/(0-2) = -3/2

Now equation of a line is given by

y = mx + c

Now keep point (2,0) and slope-3/2

0 = (-3/2)2 + c

c = 3

So, the equation would be

y = (-3/2)x + 3

Hence, The equation of the given graph will be  y=-3/2x+3

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The equation of the graph is - y = [tex]\frac{-3}{2} x + 3[/tex]

We have a graph of a equation of a straight line.

We have to find the equation of the straight line.

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question -

The slope of line = [tex]\frac{3-0}{0-2}[/tex] = [tex]\frac{-3}{2}[/tex]

c = 3

Substituting the values in the general equation of line, we get -

y = [tex]\frac{-3}{2} x + 3[/tex]

Hence, the equation of the graph is - y = [tex]\frac{-3}{2} x + 3[/tex]

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we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem

Jorge bought [tex]16[/tex] apples for [tex]\$8.00[/tex]

This is a direct variation problem

Let

x-----> the number of apples purchased

y-----> the total cost

[tex]y/x=k[/tex]

The value of k is equal to the value of the slope m

Substitute

[tex]8/16=k[/tex]

[tex]k=0.5\frac{\$}{apple} [/tex]

The linear equation is

[tex]y=0.50x[/tex]

using a graphing tool

see the attached figure

The answer in the attached figure

Current worth of the investment = [tex]1.2(10^{7} )[/tex]

Worth of the investment 20 years before = [tex]9.6(10^{5} )[/tex]

To find the number of times greater, we have to divide.

Number of times greater = [tex]\frac{current worth}{worth 20 years before}[/tex]

[tex]=\frac{1.2(10^{7} )}{9.6(10^{5} )}[/tex]

[tex]=\frac{1.2(10^{2} )}{9.6}[/tex]

[tex]=\frac{120}{9.6}[/tex]

= 12.5

Hence, the correct option is (b).

Answer:

4. [tex]f,g\text{ and }h[/tex] only.

Step-by-step explanation:

We have been given an expression [tex]f+2g+\frac{h}{4}-7[/tex]. We are asked to find the variables in the given expression.

We know that variable is a symbol or letter that represents an unknown value in a mathematical expression.

We can see that in our given expression [tex]f,g\text{ and }h[/tex] are unknown, therefore, these are variables for our given expression.

Answer:

-6.809 > -6.812 and [tex]|-6.809 | < |-6.812 |[/tex]

Step-by-step explanation:

It is clear that 6.809 < 6.812. Hence, -6.812 < -6.809, since the minus sing reverses the order. On the other hand,

[tex]|-6.809 |= 6.809 < 6.812=|-6.812 |[/tex]

your answer is rational because it has a decimal value

A portable media can hold up to 9,000 songs. Therefore:

Kylie can add = 9000 – 832 = 8168

Lance can add = 9000 – 3 * 832 = 6504

So the difference is:

8168 – 6504 = 1664

Therefore lance can add 1664 fewer songs than kylie

The temperature which has best degree of precision would actually be the temperature reading which has similar decimal place with the error. So the best answer would have 1 decimal and from the choices given above, this would be:

16.0°C

Answer:

16.0c

Step-by-step explanation:

A P E X Verified

Equal groups division with an unknown multiplier in mathematics refers to a division problem where you know the total and the number of groups, but not the number of items in each group. You solve it by dividing the total by the number of groups. This concept assists in understanding division and acts as a stepping stone to algebra.

In Mathematics, the term 'equal groups division with an unknown multiplier' refers to a division problem where you are given the total and the number of groups, but not the number of items in each group. This is a concept typically introduced in middle school Math.

For example, if you have 24 apples and want to divide them up into 4 equal groups, but you don't know how many apples will be in each group, that's division with an unknown multiplier. The solution would be to divide 24 (the total) by 4 (the number of groups), which gives you 6. So each group has 6 apples.

This concept helps students to better understand division and is often a precursor to learning about algebra, where the unknown multiplier is replaced with a variable.

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