Discussion Topic Ratios and rates are ways to relate different quantities. For example, for every 1 car, there are 4 tires. This is a ratio. What other examples of ratios can you think of? A rate is similar to a ratio. Rates usually include the word per. One example of a rate is a car driving 60 miles per hour. What other examples of rates can you come up with?

Answer:

5/32, 3/16, 1/4

Step-by-step explanation:

Make an common denominator: multiply 1/8 by 4/4 to get 4/32

Multiply 3/4 by 8/8 to get 24/32

all possible values: 4/32 through 24/32

5/32

6/32 (Divide by 2 => 3/16 )

8/32 (Divide by 8 to get 1/4)

Answer: x = − 116/3

Step-by-step explanation:

Evaluate 5/3​x + 1/3 = 13/1/3 +8/3​x

Multiply the numbers 5x/3 + 1/3 = 13/1/3 + 8/3x

Simplify 5x/3 + 1/3 ​= 39 + 8x/3

Multiply both sides  5x/3 ​× 3 + 1/3 × 3 = 39 × 3+ 8/3x ​× 3

Simplify the expression 5x+1=117+8x

Move the variable to the left side 5x+1−8x=117

Subtract the terms −3x+1=117

Move the constant to the right side −3x=117−1

Subtract the terms −3x=116

Divide both sides −3x/-3 ​ = 116/-3

Simplify −3x/-3 ​ = 116/-3

Solution  ​x = − 116/3

The 2lb candy cost the owner $8 and the 3lb candy cost the owner $4.5

The total weight of the candy is

[tex]3 + 2 = 5[/tex]

Let's write equation for this.

[tex]3(1.50) + 2x = 2.5(5)\\4.5 + 2x = 12.5\\12.5 - 4.5 = 2x \\8 = 2x\\x = 4[/tex]

The cost of the 2 pound candy is $4 per unit and the store owner spent $8 in the 2lb candy.

The cost of 3 pound candy was $4.5

Learn more on linear equations here;

https://brainly.com/question/4074386

#SPJ1

The smallest possible value of the seventh term of the sequence is 104 .

A sequence is an ordered group of items in mathematics where repetitions are permitted and order is important.

Let the first two terms of the first sequence be a and b and the first two of the second sequence be c and d.

Computing the seventh term,

we see that 5a + 8b = 5c + 8d.

Note that this means that a and c must have the same value of |8|.

To minimize, let one of them be 0;

We assume that a= 0.

Thus, the smallest possible value of c is 8; and since the sequences are non-decreasing we get d > 8.

To minimize, let d = 8. Thus, 5c + 8d = 40 + 64 = 104.

to learn more about sequence visit:

https://brainly.com/question/21961097

#SPJ4

Answer: (x+2)(x+3)

Step-by-step explanation:

1) Try to simplify with the line method

List the multiplicative numbers for a and c.

x^2 + 5x + 6 = 0

1x----------->  3

1x----------->  2

3 + 2 = 5

Make sure the two numbers multiply-add to b

Afterward, flip the top and bottom numbers.

1x--------------> 2

1x--------------> 3

Put them into an equation.

(x+2)(x+3)

Answer:

It would be 4/(-1) , which is -4

Step-by-step explanation:

You take f(1) and g(1) and then divide them to get f/g of (1)

Hello!

Let's solve:

  [tex]\dfrac{f}{g} (1)=\dfrac{f(1)}{g(1)} \\\\\\\\\text{Plug in the value for f(1) and g(1) given by the table}\\\\\dfrac{f(1)}{g(1)}=\dfrac{4}{-1} =-4[/tex]

Answer: -4

Note:

To find value of f(1) and g(1) on the table

Hope that helps!

We can conclude that (A) yes, the table shows the constant of proportionality of 1/5.

So, the constant of proportionality of the given table:

Formula: k = y/x

So, substitute the values in the formula as follows:

So, yes, the table shows the constant of proportionality of 1/5.

Therefore, we can conclude that (A) yes, the table shows the constant of proportionality of 1/5.

Know more about the constant of proportionality here:

https://brainly.com/question/28413384

#SPJ13

Regarding the situation described, we have that:

a. The ball travels 21.4 feet.

b. The assumption is that the ball was served at an angle of 90º.

c. The Pythagorean Theorem was used to solve this problem.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle(triangle which has an angle of 90º between the two legs) with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following rule:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In the context of this problem, it is found that:

Assuming that the ball was served at an angle of 90º, the distance traveled by the ball is the hypotenuse of a right triangle of legs 7.5 feet and 20 feet, hence:

d² = 7.5² + 20².

d = sqrt(20² + 7.5²)

d = 21.4 feet. (which is Justin's estimate).

Learn more about the Pythagorean Theorem at https://brainly.com/question/343682

#SPJ1

A yard is a unit of measurement of length equal to 3 feet or approximately 0.914 meter. Hence, to measure the length of a parking lot we use unit yard

What is a Unit ?

A unit, like a building block, is a single, complete portion of something. Before moving on to another unit on geometry in math class, you might complete a unit on algebra. There are also other types of units of measurement, such inches and miles.

Since we know that
A Parking lot is a big area

So we should take a unit that is used to measure bigger area

Thus we use yard for measuring the Parking lot

A yard is a unit of measurement of length equal to 3 feet or approximately 0.914 meter

Hence, to measure the length of a parking lot we use unit yard
To learn more about Unit click on the link
https://brainly.com/question/25862883
#SPJ10

Answer:

A is 5

B is 3

C is 2

D is 4

E is 3

F is 5

The incorrect statement is  50-500 individuals (cross section, more cohorts) - months to years

The answer provided above has been developed in a clear step by step manner.

Stage 1: 5-50 individuals (healthy, young); few weeks to months is correct considering the hypothesis

Second option is incorrect

Stage 2: 50-500 individuals (cross section, more cohorts) - months to years

Stage 3: 500-50,000 individuals - usually 4-5 years is also correct

Stage 4: millions of individuals - between 1-2 years is also correct

Appropriate sample size generally depends on the specified statistical hypotheses and a few study design parameters. These include the minimal meaningful detectable difference (effect size), estimated measurement variability, desired statistical power, and significance level

Therefore,50-500 individuals (cross section, more cohorts) - months to years can't be used to describe the sample sizes and time frames for conducting the various stages of human clinical trials

To learn more hypotheses about click here :

brainly.com/question/23056080

#SPJ4

answers are in the photo

goodluck

Answer:

my best answer is C) angle 7. But there is not much context so i'm not 100% sure

Step-by-step explanation:

To the nearest hundredth, pi + the square root of forty roughly equals 9.47. The best choice is B.

Rounding a number to a particular value reduces the complexity of the number while increasing readability and accessibility.

When you round to a certain point, the exact digits are maintained on the left side of that point but are rounded or somewhat trimmed from the right.

The limit is set at five.

All right-sided values are made zero if the right-side digit to the digit where we must round off is less than or equal to five; otherwise, it is increased by one and the remaining right-side digits are made zero. If the digit to the right of the decimal point is 5, and there are just zeros or no values after it, we round up (raise by 1 as in 347500 to 34800). (Well there are many detailed rules of rounding)

The following can be used to represent the provided expression, "pi plus the square root of forty to the closest hundredth,"

π + √40

= 3.1416 + 6.3245

= 9.4661 ≈ 9.47

Value is therefore 9.47.

To learn more about rounding numbers from given link

https://brainly.com/question/28244557

#SPJ9

The margin of error associated with the confidence interval is 0.02.

The 95% confidence interval for the population proportion is defined as:

p ± z(0.05 / 2) × √[p ( 1 − p )/ n]

We have,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73                                     ----------- ( 1 )

p + z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.77                                    ----------- ( 2 )

Adding the above two equations,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] + p + z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73 + 0.77

2p = 0.73 + 0.77

2p = 1.5

p = 0.75

Now, Subtracting the equations ( 1 ) and (2),

We get,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] - p - z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73 - 0.77

−2 × z(0.05 / 2) × √[ p ( 1 − p )/ n ] = -0.44

z( 0.10 / 2) × √[ p ( 1 − p )/ n] = 0.02

The margin of error is defined by the formula:

M E = z(0.05 / 2) × √[ p ( 1 − p )/ n]

Therefore, The margin of error will be:

M E = 0.02

Learn more about margin of error here:

brainly.com/question/10218601

#SPJ4

By the concept of unitary method she can run 320 yards  in 2 minutes at the same rate.

The unitary method is a technique used to determine the value of a single unit from the value of many units and the value of multiple units from the value of a single unit. We typically utilize it for math calculations. This approach might be helpful for answering questions on ratio and proportion, algebra, and other subjects. "It is a method where we get the value of a single unit from the value of many units and the value of multiple units from the value of a single unit." bra, geometry, etc. Before determining the value of additional or less items, we must first determine the value of one item by dividing it. There are two categories of unitary approaches.

720 yards = 4.5 minutes

1 minute = 720/4.5

= 160 yards

2 min = 160(2)

= 320 yards

To know more about unitary method ,visit:

brainly.com/question/2827695

#SPJ13

Answer:

3 should be the answer to your question

Answer:

31.4

Step-by-step explanation:

C=2πr=2·π·5≈31.41593in

The volume the rest of the items in the box take up (in cubic inches) is (x-3240) cu in.

What is volume?

Let the volume of the full box be = x cu in

The volume of the computer box = 9 in. x 18 in. x 20 in. = 3240 cu in

Volume the rest of the items in the box take up (in cubic inches)

= x cu in - 3240 cu in = (x-3240) cu in

To learn more about volume visit:

https://brainly.com/question/463363

#SPJ1

Answer:

  (b)  30

Step-by-step explanation:

Given a set of ordered pairs (green, red) = {(2, 6), (3, 9), (5, 15), (6, 18), (10, x)}, you want to know the value of x.

The ratio of the red value to the green value is 6/2 = 3 in each case. To keep that ratio, we must have ...

  x/10 = 3

  x = 30 . . . . . . multiply by 10

Answer:

8 inches can be purchased for 32 cents.

Answer:

I can't tell if this is division or two separate answers. So, I'll answer both!

Division: 0.222

Answer to (12)^1/6: 2

Answer to (3)^1/2(2)^1/3: 1

The statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence due to  being a reflection of itself

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

WE have been given that the statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence.

The reflexive property of congruence says that any geometric figure is congruent to itself.

Any figure being a reflection of itself and that is why they are congruent. For example, the triangle ∠CBA is congruent to ∠ABC.

The statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence due to  being a reflection of itself

Learn more about the Reflexive Property of Congruence;

https://brainly.com/question/3456320

#SPJ1

​5.8×10^-10 in standard form is: 0.00000000058.

Standard form can be defined as the way of written a number of digit in a simple form for easy understanding.

Given data:

​5.8 × 10 ^ -10

Now let ​this scientific notation 5.8 × 10 ^-10 into a standard form.

We know that  5.8×10^-10  can be re-written as :

5.8 ÷ 10 ^-10

= 5.8 × 10×10×10×10×10×10×10×10×10×10

= 5.8 ÷ 10000000000

= 0.00000000058

Hence,

​5.8×10^-10 = 0.00000000058

Therefore we can conclude that 0.00000000058 is the standard form of ​5.8  ×10 ^-10.

Learn more about standard form here: https://brainly.com/question/17136267

#SPJ1

Answer:

-4 = s

Step-by-step explanation:

6=-3(s+2) multiply -3 into the parenthesis.

6=-3s-6 add 6 to the other side

12=-3s divide by -3 on both sides.

-4=s

In the estimation, the missing values are 8 and 1 respectively.

Approximation is the process of using rounded values when presenting numerical data and making rough calculations.

The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.

Since the number after the digit 8 in 8.41 is 4, we will round down 8.41 to 8

Also, the number after the digit 0 in 0.61 is 6, so we will round up 0.62 to 1

Therefore, the missing values in the estimation are 8 and 1 respectively.

Learn more about approximation on:

https://brainly.com/question/28128444

#SPJ1

x and y intercepts are the points where lines cut off the x and the y axis respectively.

In this case, the line cuts the x axis at x=-8. It means that the x intercept of the line is (-8,0).

The line also cuts the y axis at y=-6, which means that the y intercept of the line is (0,-6).

a)

The x-intercept can be found as:

Therefore, the x-intercept is: (-2,0)

The y-intercept can be found evaluating the function for x = 0, so:

b) The parent function for this is given by:

c)

1st: A reflection over y-axis:

2nd: A horizontal compression:

3rd: A horizontal translation 8 units to the left:

4th: A reflection over y-axis:

5th: A vertical compression:

6th: A vertical translation 1 unit up:

d)

Where the blue graph is the parent function:

And the red graph is the function after the transformations:

e)

The domain and the range are: