Complete the table with the number of sit-ups you need to do on Sunday so that the mean number of sit-ups per day
is 60.
Day
Monday Tuesday Wednesday Thursday Friday Saturday
Sunday
Number of sit-ups
50
70
80
80
40
60

Answer:

bottom right/ fourth table

Step-by-step explanation:

2 7

4 9

6 11

8 13

2 is added to both sides in both columns, making it a linear function

Answer:

Step-by-step explanation:

Problem 1

Set Up the Proportion

3 cm / 8 km = x / 20 km                Cross multiply

3*20 = 8x                                        Combine the left

60 = 8x                                           Divide by 8

60/8 = x

7 4/8  = x

7 1/2 km = x

7.5 km  = x

Problem 2

3 cm / 8km = 12 cm / x                  Cross multiply

3x = 12 * 8                                      Combine the right

3x = 96                                          Divide by 3

3x/3 = 96/3

x = 32 km

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

Given

Shapes: Square and Rectangle

Square:

[tex]Length = x[/tex]

Rectangle:

[tex]Length = 12 + 2x[/tex]

[tex]Width = x- 8[/tex]

Required

Find x

First, we calculate the area of the square.

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

Next, we calculate the area of the rectangle

[tex]Area = (12 + 2x) * (x - 8)[/tex]

[tex]Area = 12x -96 + 2x^2 - 16x[/tex]

[tex]Area = 2x^2 - 16x + 12x -96[/tex]

[tex]Area = 2x^2 -4x -96[/tex]

Since both areas are equal, we have:

[tex]x^2 = 2x^2 -4x -96[/tex]

Equate to 0

[tex]2x^2 -x^2 -4x -96= 0[/tex]

[tex]x^2 -4x -96= 0[/tex]

Expand:

[tex]x^2 - 12x + 8x -96 = 0[/tex]

[tex]x(x - 12) + 8(x - 12) = 0[/tex]

[tex](x + 8)(x - 12) = 0[/tex]

[tex]x + 8 = 0[/tex] or [tex]x - 12 = 0[/tex]

[tex]x = -8[/tex] or [tex]x = 12[/tex]

But x can't be negative.

Hence:

[tex]x = 12[/tex]

Step-by-step explanation:

3x + 4 + 7x + 16 = 110

10x = 90

x = 9

therefore, Sam = $31 and Tessa = $79

Topic: Algebraic Equations

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

Sam: 31

Tessa: 79

Step-by-step explanation:

3x+4+7x+16=110

10x+20=110

10x=110-20

10x=90

x=9

Money Sam saved

=3(9)+4

=27+4

=31

Money Tessa saved

=7(9)+16

=63+16

=79

Find HCF of 12 and 16 using division method.

Step 1

Step 2

Step 3

HCF of 12 and 16 is 4.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \scriptsize{ \sf{spbankingandsscseries}}[/tex]

Answer:

Step-by-step explanation:

y = mx + b

Unknown:

b = intecept = ?

mx = slope = ?

y = equation = ?

Known:

Coordinates needed

1. Find the slope

(y2 - y1)/(x2 - x1)

(12-5)/(2-2) = undefined

Vertical line

2. Find the intercept

intercept = N/A

x - intercept = 2

Equation:

Hope this helped,

Kavitha Banarjee

Answer:

640 students own a bicycle

Step-by-step explanation:

The rate shows that 4 out of 5 students own a bicycle. 4 out of 5 is 80% of the students. Now, we need to find 80% of 800 students.

To do this, we multiply the number of students by .80, which represents 80%.

800 x 0.8 = 640

I Hope That This Helps! :)

Answer:⅘ x 800= 640 640 out of the 800 students in a school own a bicycle.                    

Step-by-step explanation:    ⅘ x 800= 640                                                                                                

Answer:

x-

Step-by-step explanation:

Answer:

2+2=4

4+18=22

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

Subtract x from 3x ( 2x )

2x+5=-3

Subtract 5 from -3 ( -8 )

2x=-8

Divide ( -4 )

x=-4

Answer:

3 and 12

Step-by-step explanation:

just multiply 2 x 3 and 2 x 12 and it would give you 6 and 24 :) I hope this help

36

Step-by-step explanation:

4 5/8*3 is 13.875

500 decided by 13.875 is a little over 36, so you can make 36 full ribbons

Answer:36

Step-by-step explanation:

4 5/8*3 is 13.875

Answer:

x= 6.02953586.......

Step-by-step explanation:

Answer:

2

x

+

3

y

−

10

=

0

Solve for  

y

.

Tap for more steps...

y

=

−

2

x

3

+

10

3

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

−

2

3

y-intercept:  

10

3

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

1

8

3

2

2

Graph the line using the slope and the y-intercept, or the points.

Slope:  

−

2

3

y-intercept:  

10

3

x

y

1

8

3

2

2

Step-by-step explanation:

i am sorry it came like this

Answer:

Tahukah kamu, mengapa motor berhenti di depan lampu merah?

karena motornya direm. Coba kalau nggak direm bisa bahaya tuh.

Tebak binatang apa yang jago renang?

Bebek. Kalau ikan bukan renang tapi menyelam

Kenapa di rel kereta api ditaruh batu?

Soalnya kalau ditaruh duit nanti pada diambil.

Answer:

[tex]\boxed {\boxed {\sf y= 2x-12}}[/tex]

Step-by-step explanation:

We are given a slope and a point, so we can use the point-slope equation.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is the point.

The slope is 2 and the point is (3,-6).

[tex]m= 2\\x_1=3 \\y_1=-6[/tex]

Substitute the values into the formula.

[tex]y--6=2(x-3)[/tex]

[tex]y+6=2(x-3)[/tex]

Distribute the 2 on the right side of the equation.

[tex]y+6=(2*x)+(2*-3)[/tex]

[tex]y+6=2x-6[/tex]

We want to get the line into the form: y=mx+b. We have to isolate y on one side of the equation. 6 is being added to y. The inverse of addition is subtraction; subtract 6 from both sides of the equation.

[tex]y+6-6=2x-6-6[/tex]

[tex]y=2x-6-6[/tex]

[tex]y=2x-12[/tex]

The line is y=2x-12 (slope=2 and y-intercept=-12)

Answer:

4s

Step-by-step explanation:

The perimeter of a square is 4 times it's side length.

Formula for a perimeter of a square: [tex]4s[/tex]

s - side length

Hope this helps.

Answer:

100.60

Step-by-step explanation:

15% of 87.48 is 13.12

[tex]a/87.48[/tex] x [tex]15/100[/tex]

cross multiply, you get 13.12

add up 13.12 and 87.48, you get 100.60

Answer:

1/2

Step-by-step explanation:

Slope is the change in y over the change in x so:

(7 -5) /(6-2) = (2)/(4) = 1/2

Answer:

13/99

Step-by-step explanation:

First convert the expression, turn 13 into 13/1: 13/1 × 1/99

Next you multiply: 13/1 × 1/99 = 13/99

Answer:

The total amount for 32 people is 15.36

Step-by-step explanation:

we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.

Answer:

3x²y+0.5y+1

Step-by-step explanation:

2+3x²y -0.5y+y -1

2 and -1 is 1

-0.5y and +y is +0.5y so the answer is...

Answer:

117 cups

Step-by-step explanation:

two dozen cookies calls for 234cups of sugar

2 dozen cookies = 234 cups of sugar

How much sugar is needed to make one dozen cookies?

Let x = cups of sugar needed

1 dozen cookies = x cups of sugar

2 dozen cookies : 234 cups of sugar = 1 dozen cookies : x cups of sugar

2 : 234 = 1 : x

2 / 234 = 1 / x

Cross product

2*x = 234 * 1

2x = 234

x = 234 / 2

= 117 cups

Your options are wrong because none corresponds with the answer