The ratio of strawberries to blueberries in a basket is 3:5. If there are 72 strawberries in the basket, find the total number of strawberries and blueberries in the basket.

Answer:

y = - 4x + 13

Step-by-step explanation:

In order to do this problem you would need a whole new equation, but you will use what is given to you:

instead of going with:

x - 4y = 20

Turn it into y = mx + b form, also known as slope-intercept form:

x - 4y = 20

-x       = -x

_________

- 4y = 20 - x

Then divide both sides by - 4:

[tex]\frac{-4y}{-4} = \frac{-x + 20}{-4}[/tex]

You will then get:

y = [tex]\frac{1}{4}x - 5[/tex]

From this equation we will only need the slope!

m || = [tex]\frac{1}{4}[/tex]

(This slope is for parallel)

but if you want perpendicular to the slope, then we need the negative reciprocal!

Negative reciprocal is a flipped version of the value that is negative, for example:

2 = [tex]-\frac{1}{2}[/tex]

Because [tex]\frac{2}{1}[/tex] = 2

Now we will find the perpendicular slope which is:

m ⊥ = - 4

Now substitute this slope into slope intercept form:

y = mx + b

(-3) = -4(4) + b

(Take away parentheses)

-3 = -16 + b

(Move - 3 to the other side, by making it positive, but what you do to one side, you do to the other)

= -13 + 6

(Move - 13 to the other side, by make - 13 into +13)

+13 = +13

________

13 = b

(This is you b, also known as you intercept)

Your answer is:

y = -4x + 13

Answer:

64[tex]\pi[/tex] in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = [tex]\pi r^2[/tex]

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

[tex]A = \frac{\pi r^2}{4}[/tex]

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

[tex]A = \frac{16\pi}{4} = \frac{4\pi}{1}= 4\pi[/tex]

Now lets get it back to [tex]r^2[/tex] by square rooting the 4

[tex]A = \sqrt{4}\pi = 2\pi[/tex]

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8²[tex]\pi[/tex] which simplifies to 64[tex]\pi[/tex]

And a final answer of

64[tex]\pi[/tex] in²

Hope this helps :)

The area of the larger circle is 64π in²

A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.

Given that, there are 4 identical circles inside a big circle, the total area of the small circles is 16π in²

We know that,

Area = π × radius²

16π = 4π × radius²

Therefore, the radius of each circle = 2 in

Now, according to the arrangement we can say that the adding the diameter of two small circles will give the radius of the big circle,

Therefore, the radius of the big circle = 4 + 4 = 8 in

Therefore, the area of the big circle = π × 8² = 64π

Hence, the area of the larger circle is 64π in²

Learn more about circles, click;

https://brainly.com/question/29142813

#SPJ3

Answer:

Step-by-step explanation:

1/2x + 3 = 6

1/2x = 3

x = 6

Step-by-step explanation:

Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)

Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)

Answer:

x=30

y=52

verticle angles: AOC and DOB

Step-by-step explanation:

Answer:

u didnt put any context

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

$46

Step-by-step explanation:

Answer:

27 - 5n

Step-by-step explanation:

n times 5 (5n) - 27

Answer:

white

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

19.5 divided by 21.8 = 0.89449541 = 0.89% or 0.9%

Answer:

Speed is the rate of change in position of an object, regardless of direction of travel. Walk forward or backward at 2 meters per second, and your speed is just that: 2 m/s. Velocity is speed in the context of direction. Say you were walking backward again; your velocity is negative 2 m/s, although your speed is still positive.

Step-by-step explanation:

The given speed in yards per month will be 10,800 yd/mo.

Speed is the rate of change in position of an object, regardless of direction of travel.

Walk forward or backward at 2 meters per second, then speed is just that: 2 m/s.

Velocity is speed in the context of direction.

An object is moving at a speed of 9 inches per minute.

9 in/ min = (9 in/ min) x (1 yd / 36 in) x ( 60 min/ 1 h) x (24h / 1 d) x (30 d/ 1 mo )

9 in/ min = 10,800 yd/mo

Therefore, the given speed in yards per month will be 10,800 yd/mo.

Learn more about speed here;

https://brainly.com/question/7359669

#SPJ2

Answer:

4

Step-by-step explanation:

Known:

Every week Hannah's office recyles 2 kilograms of paper

1 week = 2 kg of paper

To find a rate at which the office recyles paper divide the unit of measurement (kg) by a unit of time (weeks)

So:

2 kg/ 1 week = 2 kg of paper recycled per week

We want to know how many weeks it will take to recycle 8 kg.

Think of it this way.

if you divide kg by kg/week the kg cancel out and you get the unit week.

So divided 8 kg by the rate we discovered (2 kg/week) and you shall get the answer 4 weeks.

The graph of the equation y = 8x - 6 is a straight line.

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept

(0, b).

Given is an equation, y = 8x - 6

Finding the coordinates,

Put x = 0, y = -6

(0, -6)

Put y = 0

8x = 6

x = 0.75

(0.75, 0)

Plotting the graph,

Hence, we will get a straight line of the graph.

Learn more about slope intercept form, click;

https://brainly.com/question/30216543

#SPJ2

Answer:

7 time 11 is 77 so 77 divided by 11 is 7

Step-by-step explanation:

Answer:

It's -7

Step-by-step explanation:

Answer:

the answer is

b. {-5,0,4,12}

Step-by-step explanation:

domain is x

range is y

hope this helps

Answer:

Parallel lines have the same slope, while perpendicular lines have completely opposite slopes. So a line has a slope of 2, a parallel line would have a slope of 2, and a perpendicular line would have a slope of -1/2. The easiest form to identify the slope is standard form because it shows the slope within the equation with out having to solve the equation or convert it into another form.

Answer:

so if Thomas payed $40 for the bus we have to find what he payed not including the $40 bus fee.

so we have to subtract 40 from the total price of $104.40.

the equation is 104.40-40=?

104.40-40=$64.40 payed outside the bus fee.

now we have to figure out how many times .70 fits into 64.40

the equation would be 64.40/.70 which means we are dividing 64.40 by .70

so 64.40/.70=92

Thomas and his friends traveled a total of 92 miles to go to the concert.

Step-by-step explanation:

Answer:

The answer is 12 markers. 4 markers for $7. You multiply 7 x 3and you end up with 21

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

I used my graphing calculator, but you can use the equation y-y/x-x.

Answer:

The red shape

Step-by-step explanation:

This is because they are of the same shape and size.

They must look the same in size and shape type.

HOPE THIS HELPED

Step-by-step explanation: First, we create a table using the equation provided: "y = -2/3x + 1". If x is 0, then y = 1. If x = 3, y = -1. Thus, we plot the points (0, 1) and (3, -1). Then, we draw a line through them.

Answer:

rate of change

Step-by-step explanation:

Answer:

"rise over run" or "rate of change"

Step-by-step explanation:

"Slope" itself is "rise over run", or how quickly the line moves up or down relative to the x-axis as the value of x changes.

A gradient is really just another name for slope, not a description OF a slope.

Answer:

625

Step-by-step explanation:

with long division, you just need to remember these five steps, divide, multiply, subtract, bring it down, and repeat.

hope this helps :3

if it did pls mark brainliest

The number 2000 divided by 3.2, then the quotient is 625.

To perform long division with 2,000 divided by 3.2, follow these steps:

Step 1: Write down the division problem.

2,000 ÷ 3.2

Step 2: Convert the divisor to a whole number.

Since the divisor is a decimal, multiply both the dividend and divisor by a power of 10 to eliminate the decimal. In this case, multiply both numbers by 10 to get rid of the decimal point:

2,000 × 10 = 20,000

and

3.2 × 10 = 32.

Step 3: Divide the first digit of the dividend by the divisor.

In this case, the first digit of 20,000 is 2, and when divided by 32, the quotient is 0. Therefore, write down 0 as the first digit of the quotient.

Step 4: Multiply the quotient digit by the divisor and subtract from the dividend.

Multiply 0 by 32:

0 × 32 = 0

Subtract the result from the dividend:

20,000 - 0 = 20,000

Step 5: Bring down the next digit of the dividend.

Since we have no more digits in the dividend, stop here.

Step 6: Write down the final result.

The quotient is the result of the division:

2,000 ÷ 3.2 = 625

Therefore, when dividing 2,000 by 3.2 using long division, the quotient is 625.

Learn more about Divided here:

brainly.com/question/15381501

#SPJ6