Betty is making a quilt made of various patterns . She buys 3 sheets of fabric that each have an area of 30 square feet. She cuts them up into sections that are each 2/5 of a square foot . How many sections will she have total

Answer:

8.50 gallons of gas.

Step-by-step explanation:

The slope in this scenario is -1.25 gallons per mile, this means that for every mile that Evin drives she is wasting 1.25 gallons of gasoline. Since she only drove 1 hour at the begining and after that hour her tank had 7.25 gallons, then we can simply add 1.25 gallons to her tank at this moment to make up for the 1 hour she drove and that would give us the total amount of gas she had before she started driving.

7.25 + 1.25 = 8.50 gallons of gas.

Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the amount of gallons left after x hours.

She notices that after 1 hour her gas tank has 7.25 gallons left. Hence:

7.25 = m(1) + b

m + b = 7.25   (1)

After 4 hours of driving, it has 3.5 gallons of gas left in it. Hence:

3.5 = 4(m) + b

4m + b = 3.5   (2)

Solving equations 1 and 2 simultaneously gives m = -1.25, b = 8.5

Hence Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.

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Answer:

The sales price of the skirt was $14.3.

Step-by-step explanation:

From the information given, you know that the total for the three items is $32.35 which is:

x+y+z=32.35

x is a skirt

y is a pair of shoes

z is a pair of socks

Also, you know that the pair of socks costs $3.75, so you can replace the value of z and subtract this from the total amount to have the price of the skirt plus the pair of shoes:

x+y+3.75=32.35

x+y=32.35-3.75

x+y=28.6

Now, as the original prices of the skirt and shoes were the same and you know that the sum of the two items is equal to $28.6, you can divide this by 2:

$28.6/2=$14.3

According to this, the answer is that the sales price of the skirt was $14.3.

Answer:

y=x

Step-by-step explanation:

using slope intercept form and slope formula so y=x

Answer:

y=mx+c

x co-ordinates is 5 & -2

y co-ordinates is 5 & -2

m is the gradient so you have to do change in y over change in x (basically the difference in the y axis )

so change in y : (-2)-5 = -7

change in x: (-2)-5= -7

so divide this and you get 1 which is m

Now the equation is y= 1x+C but x=1 theoretically

therefore all you do now is substitute the values onto the equation to find C. ALWAYS USE THE SAME SET OF COORDINATES.

5=1(5)+ C

5=5+C

C= 0

equation is y=x

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

50%=10

100%=20

Answer:

20

Step-by-step explanation:

50% basically means half, so if 10 is 50% then the other 50% is also 10.

so 10x2=20

Answer:

574

Step-by-step explanation:

3200/100 x 7 + 350

Answer:

Step-by-step explanation:

The question doesn't seem complete, but the question is likely to ask for 2 things: the equation of the ellipse and it's foci. So I'll respond to that. Also, the ellipse will be at the center since the artist wants the largest.

Firstly, the equation of an ellipse at the center is given by:

(x²/a²) + (y²/b²) = 1 where a > b.

Since the artist wants to make the largest ellipse, then the length of the rectangle will be the length of the ellipse, same applies to the width.

Since the length is 60, then a = 60/2 = 30

Since the width is 40, then b = 40/2 = 20

Therefore, the equation of the ellipse is:

(x²/30²) + (y²/20²) = 1

To find the foci we need to know the center and this can be gotten by

c² = a² – b²

c² = 30² – 20² = (30 + 20)(30 – 20) = (50)(10) = 500

c = √(500) = 10√(5).

The foci, since it's at th center would be:

(–10√(5), 0) and (+10√(5), 0)

The largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]

For this case, as we have rectangular piece of board the maximum ellipse will have it's major axis of length 60 inches, and of minor axis as 40 inches.

Thus, we have:

[tex]a = 60/2 = 30\: \rm inches\\b = 40/2 = 20 \: inches[/tex]

Thus, if the rectangle is placed such that the major axis is on x-axis, and minor axis is on y-axis, then the equation of that ellipse would be:

[tex]\dfrac{x^2}{30^2} + \dfrac{y^2}{20^2} = 1\\\\\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex]

Thus, the largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)

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Answer:

2+2=4

Step-by-step explanation:

Imagine 2 lItTlE fishies in a pond, 2 more little FIsHiEs swim next to them, how many FisHiEs are in a group? Four WiDdlE fiShies are in the pond. Good LuCk

Answer:

4

Step-by-step explanation:

=1/2×8

=4

Hope this helps u....

Answer:

1/2 ÷1/8

i.e 1/2×8

= 2÷8=4

Answer:

150

Step-by-step explanation:

300-150

Answer:

Ordinal

Step-by-step explanation:

The ordinal measurement level means the arrangement of the number so that it could tell the position of something in the list

Since in the question it is mentioned that the day care center ask the children for listing their five favorite toys and the arrangement could be done from most favorite to least favorite

So this represent the ordinal measurement level

Answer: greater than, the same as

Step-by-step explanation:

The solution is : After 7 weeks, Mia's office will have recycled 21 pounds.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.

3 weeks  →  9 pounds

7 weeks  →         x

x=(7*9)/3

x=21

According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.

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Complete question:

Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled? Choices: 24 21 15 18

Answer:

y=79/73x+644/73

theres the equation, enjoy <3

Answer:

a

Step-by-step explanation: I think A because it makes the most sence plz tell me if i'm wrong

Step-by-step explanation:

There are many different types of variations  as follows:

1) Direct variations in which the relationship between two different variables is direct.

2) Inverse variations in which the relationship between two different variables is opposite.

3) Joint variations in which the relationship between one variable varies directly with the product of two or more variables.

4) Combined variations in which one variable is directly proportion to second variable but inversely proportion with third variables.

option 'A', 'B', 'D' , 'E' are correct.

Answer:

correct answer given

Answer:

C

Step-by-step explanation:

The constant term in a polynomial expression is the numeric term with no variable attached to it.

In this case the constant is + 1 → C

Answer:

the greeks neglected roads

b. roads

Answer:

B. roads

Step-by-step explanation:

The other person got it correct

Answer:

an odd    an even

Step-by-step explanation:

plz mark as brainliest. my first answer

Answer:

she had 23 and 1/4 cups of sugar left to make the cookies.

93/4 is the improper fraction of that.

[tex]\frac{93}{4} / \frac{3}{5}[/tex]

the lowest common multiple is 20, so convert the fractions to have common denominator

[tex]\frac{465}{20} / \frac{12}{20}[/tex]

divide the numerators and you have your answer

38.75 cookies

Step-by-step explanation:

Answer: Equation 3

Step-by-step explanation:

It does not have any exponents, meaning it's linear

Answer:

equation 3

Step-by-step explanation:

no exponents

Answer:

let a be the number of angles is using the ratio of clownfish we can write the proportion

Step-by-step explanation:

cross multiply Zane divide both sides by 5 so there are 48 Angle Fish

for the Goldfish cross multiply or divide both sides by 4 so there are 36 goldfish

Answer:

she will pay $3.75

Step-by-step explanation:

Answer:

12,7

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

The given statement is "Eighteen is six less than four times a number".

Let the number be x.

ATQ,

18 = 4x-6

Taking like terms together,

18+6 = 4x

24 = 4x

x = 6

Hence, the value of x is 6.

The polygon has 6 sides.

'A polygon, in geometry is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross.'

According to the given problem,

Sum of measures of angle = 720

We know,

Sum of interior angles of polygon = 180( n - 2 )

Where, n = number of sides.

⇒ 180( n - 2 ) = 720

⇒ n - 2 = 720/180

⇒ n - 2 = 4

⇒ n = 6

Hence, we can conclude that the polygon has 6 sides.

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Answer:

The figure would move 2 units to the left and 4 units up and the image would be congruent.

Step-by-step explanation:

If you transformed a figure using the rule (x-2, y+4).

Then the figure would move 2 units to the left (x-2) and 4 units up (x+4).

Similar figures would have the same shapes but different sizes.

Congruent figures would have the same shapes and same sizes but might be rotated.

Figures can not be both similar and congruent.

Moving the whole shape will not change the size; therefore, the figures would be congruent.