On two tests so far this year, a student received a 78 and a 93. The student wants an average between 80 and 90 inclusive. What are all of the possible scores for the third test so that the student falls within this average?

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.

Final answer:

To find how many times greater the chain's profit is than one store's, divide the chain's profit by the store's profit. After dividing the coefficients (30.479/210.2) and subtracting the exponents (7-4), we find that the chain's profit is 145 times greater than that of one store, which is 1.45 × 10² in scientific notation.

Explanation:

To determine how many times greater the profit made by the chain is than by one of its store, we need to divide the total profit of the chain by the profit of one store. Both profits are given in scientific notation as follows:

Chain's annual profit: 30.479 × 107 dollars

One store's annual profit: 210.2 × 104 dollars

To perform the division, we divide the coefficients and subtract the exponents:

(30.479 × 107) / (210.2 × 104) = (30.479 / 210.2) × 10(7 - 4)

Calculating the division of coefficients and exponents separately:

Coefficients: 30.479 / 210.2 ≈ 0.145

Exponents: 103, since 7 - 4 = 3

The result is:

0.145 × 103, which is the same as 1.45 × 102 in scientific notation after adjusting the decimal point one place to the right. Therefore, the chain's profit is 145 times greater than the profit of one store.

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:

is ther any information about how old he will be in ten years from now

Step-by-step explanation:

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Sam's current age is 16 years old based on the provided condition.

Ten years from now, Sam will be twice as old as she was three years ago. Let's represent Sam's current age as x. According to the given condition:
Age after ten years = x + 10
Age three years ago = x - 3
Given that the age after ten years will be twice the age three years ago:
x + 10 = 2(x - 3)
Solving for x:
x + 10 = 2x - 6
x = 16

Therefore, Sam is currently 16 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 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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your answer is rational because it has a decimal value

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]

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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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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Answer:

9 > n

Step-by-step explanation:

think of this <ess it kinnda looks like it says less so > means the greater than symbol

Hopes This Helps :) please make me brainless just one time

The correct statement is :

D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.

The smallest 2 digits is 10, and the smallest 3 digits is 100

Their product is:

[tex]10 \times 100 = 1000[/tex] i.e. 4 digits

The greatest 2 digits is 99, and the greatest 3 digits is 999

Their product is:

[tex]99 \times 999 = 98901[/tex]  i.e. 5 digits

This means that;

No product of the digits can have more than 5 digits

And, no product can have less than 4 digits

Hence, (d) is correct

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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!