Patrick took a total of 10 quizzes over the course of 2 weeks. After attending 6 weeks of school this quarter, how many quizzes will Patrick have taken in total? Assume the relationship is directly proportional.

Answer:

5

Step-by-step explanation:

=> -4+9

=> 5

Cuz first u have to do 4 plus 5, which'll be 9. And then, since -4 is negative, we have to subtract 9 from 4. So the answer's 5.

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Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

I just guessed random numbers until I got 66 and 130.

Answer:

Step-by-step explanation:

Hi there!

Let one of the number be "x" then the next number is x+64.

According to the question,

The sum of two numbers is 196.

i.e x + (x+64) = 196

or, 2x +64 = 196

Subtract 64 from both sides,

2x +64-64 = 196 - 64

2x = 132

Divide both sides by 2,

\(\frac{2x}{2}\) = \(\frac{132}{2}\)

x = 66

And x+64 = 66+64 = 130

Therefore, the one number was 66 and another was 130.

Hope it helps!

Answer:

See below ~

Step-by-step explanation:

Finding the common ratio (r)

First term (a₁)

The remaining amount of salt that Tom needed to pour was 67.59 grams.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given,

The total amount that Tom needs to pour = 84.99 grams

Amount poured = 17.4 grams

Remaining = 84.99 grams - 17.4 grams = 7.59 grams

Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".

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Answer:

1. 1/2*1/3

1*1/2*3

1/6

2.1/8*12

1*12/8

12/8

3/2

3.2(1/3)*2(6/8)

(3*2+1/3)*(2*8+6/8)

7/3*22/8

7*22/3*8

154/24

77/12

4.3(2/4)*4(2/5)

(3*4+2/4)*(4*5+2/5)

14/4*22/5

14*22/4*5

308/20

77/5

5.16 songs were written by the people

Step-by-step explanation:

Hope this helps u!!

Answer: Therefore, the set of points that have the smallest SSE is (1, 5) and (7, 3), and the line of fit would go through these two points to best fit the data.

Step-by-step explanation:

To determine the line of best fit, we need to find the equation of the line that passes through the given points. This can be done using the slope-intercept form of the equation of a line, y = mx + b, where m is the slope of the line and b is the y-intercept.

For each set of points, we can find the slope using the formula:

m = (y2 - y1) / (x2 - x1)

and then use one of the points to solve for b.

(6, 4) and (9, 1):

m = (1 - 4) / (9 - 6) = -3/3 = -1

Using point (6, 4):

4 = -1(6) + b

b = 10

So the equation of the line is y = -x + 10.

(3, 5) and (10, 1):

m = (1 - 5) / (10 - 3) = -4/7

Using point (3, 5):

5 = (-4/7)(3) + b

b = 41/7

So the equation of the line is y = (-4/7)x + 41/7.

(1, 8) and (10, 1):

m = (1 - 8) / (10 - 1) = -7/9

Using point (1, 8):

8 = (-7/9)(1) + b

b = 71/9

So the equation of the line is y = (-7/9)x + 71/9.

(1, 5) and (7, 3):

m = (3 - 5) / (7 - 1) = -1/3

Using point (1, 5):

5 = (-1/3)(1) + b

b = 16/3

So the equation of the line is y = (-1/3)x + 16/3.

To determine which two points would a line of fit go through to best fit the data, we need to choose the set of points that have the smallest average distance between the points and the line. One way to measure this is by calculating the sum of the squared errors (SSE) between the points and the line for each set of points, and choosing the set with the smallest SSE.

Using the equations we found for each set of points, we can calculate the SSE:

(6, 4) and (9, 1):

SSE = (4 - (-1(6) + 10))^2 + (1 - (-1(9) + 10))^2 = 29

(3, 5) and (10, 1):

SSE = (5 - (-4/7)(3) + 41/7)^2 + (1 - (-4/7)(10) + 41/7)^2 = 16.9

(1, 8) and (10, 1):

SSE = (8 - (-7/9)(1) + 71/9)^2 + (1 - (-7/9)(10) + 71/9)^2 = 28.7

(1, 5) and (7, 3):

SSE = (5 - (-1/3)(1) + 16/3)^2 + (3 - (-1/3)(7) + 16/3)^2 = 7.6

Answer:

A = 25π square feet

Step-by-step explanation:

C = 2πr

10π = 2πr

10π = 2πx

10π / 2π = 2πx / 2π

5 = x

This means 5 is the radius of the circle. We now need to find the area:

A = πr\(r^{2}\)

A = π(5)²

A = π(25)

A = 25π

Answer: 5/12

Step-by-step explanation:

Answer:

Work=Force×Displacement

Force=Force¤

Force cos 75°

Force=26×1/4=6.5N

Answer:

Step-by-step explanation:

x cos(75) + x sin(75) = 26 newton

x ( cos(75) + sin(75) ) = 26

x = 26/ (cos75 + sin75) = 26/1.225 = 21.229

vertical component is 21.229 x sin75 = 20.5055 newton.

amswer:9

Step-by-step explanation:

20.00 - 8.00 = 12.00

1.25 × 9 = 11.25

leftover change is 0.75

The maximum number of rides you can go on are 9.

"An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.  In an algebraic equation, the left-hand side is equal to the right-hand side."

Given,

The admission fee to the country fair is \(\$8.00\)

And the cost of each ride is = \(\$1.25\)

The total number of money that he has = \(\$20.00\)

So the number of rides in $20.00 will be

\(\$(20.00 - 8)/1.25\\ = 12/1.25 = 9.6\)

Hence, the number of rides that he can go in $20.00 will be 9.

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Answer:

There were 89 retail stores in 1997.

Step-by-step explanation:

You know:

y =  11*x + 12

where y is the total number of stores and x is the number of years after 1990.

Being this a linear function (Linear functions are those functions that have the form y = mx + b as it happens in this case), to know the total number of stores and, then you must know the value of x, that is, the number of years after 1990, and replace that value in the given function.

To find out how many retail stores there were in 1997, then since 1990 7 years have passed, calculated by subtracting: 1997 - 1990 = 7

So, 7 is the number of years after 1990, then x=7

Replacing in the function y=11*x + 12 you get:

y=11*7+12

Solving:

y=77+12

y=89

There were 89 retail stores in 1997.

Answer:

9 times 2 because of the 2 sides meaning... the answer is... 18 but also had to round it up to 20 because it's higher than 5 its 2 left but if necessary i think you need to add 9 more on the other side with the 9 across and do the same with the 2 mi!

Step-by-step explanation:

Hope i helped! Your welcome! Have a great week!

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

The composite function g(f(x)) is equivalent to 10x^2 - 1

This are also referred to as function of a function. Given the following functions;

f(x) = 2x^2 - 5

g(x) = 5x + 7

In order to determine the composite function g(f(x))

g(f(x)) = g(2x^2 - 5)

Replace x with 2x^2 - 5 in g(x) to have;

g(f(x)) = 5(2x^2 - 5) + 7

g(f(x)) = 10x^2 - 18

Hence the composite function g(f(x)) is equivalent to 10x^2 - 1

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Answer:

your answer is -2

Step-by-step explanation:

x- x/3+2=0

or. (3x -x +6)/3 =0

or. 3x-x+6 =0

or. 2x+6=0

or. 2x= -6

or. x = -6/2

or. x = -2

Answer:

here is the full question

Step-by-step explanation:

Answer: x = -3

Step-by-step explanation:

2 x 2 + x - 1 = 0

4 + x - 1 = 0

3 + x = 0

x = -3

Answer:

X=-3

Step-by-step explanation:

See steps below:)

Answer:

Step-by-step explanation:

The two congruent sides make the triangle isosceles.

Answer:

Let x be the number of additional outfits.

5 + x < 11

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.

Let:

l = length of the rectangle

w = width of the rectangle

"The length of a rectangle is nine more than triple the width" can be translated as:

l = 9 + 3w

perimeter = 2 l + 2w

Substitute perimeter = 98 and  l =  9 + 3w into the perimeter equation:

98 = 2 x (9 + 3w) + 2w

98 = 18 + 8w

8w = 98 - 18

8w = 80

w = 80/8 = 10 inch.

Substitute w = 10 into the length equation:

l = 9 + 3w

l = 9 + 3 x 10

l = 9 + 30 = 39

Therefore the correct answer is:

The width is _10_inches. The length is 39 inches.

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Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

Answer:

the relation between the x-values and y-values of ordered pairs

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer: 245.46

Step-by-step explanation:

Hundredth is the 2nd number after the decimal so in this, it would be 245.456456. I'd assume you already know how to round.

Answer:

60,000÷5000=12

12×10=120 minutes.

Step-by-step explanation:

12-(-8)=4

12+8=20

because - - sign +