Sara's mother bought 8 large oranges for $12.00. Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange. Sara's friend Daniel said he thought the ratio would be 8:12, so the unit rate would be 8/12 of an orange per dollar.

Explain how both Sara and Daniel might have found their unit rates and how both could be correct.

As per the concept of simple interest the term principal refers the original amount invested.

Simple interest:

Basically, the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given,

Here we need to find the correct definition of the term principal.

As per the definition of the concept simple interest, then term principal refers the amount to be invested on the particular assets.

And at the nd of the particular, period the principal amount is either increase or decrease based on the interest applied on it.

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Answer:

2

Step-by-step explanation so, you got the question 1+1? let me help.  So the first 1 in the question right? You add another 1 that equals 2 hope this helps.

Answer:

24

Step-by-step explanation:

well u see 1+1 would usually = 2 but because i dont like the number 2 by its self i add another 2 therefore its 22 and then i like to spice it up with adding another 2 to the last 2 then u have 24.

HOPED THIS HELPED!!!!! :b

The kangaroo traveled 1.2 km in 3 minutes.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line. This will also be perpendicular to the line.

Given,

kangaroo travel the distance in 5 min = 2

in 1 min, the distance covered by kangaroo = 2/5

and in 3 minutes, kangaroo will traveled = 2/5(3) = 1.2 km.

Hence, the distance covered by the Kangaroo in 3 minutes is 1.2 km.

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Answer:

22.5 mg of nic

Step-by-step explanation:

1.5*15=22.5mg

don't smoke kids! (idc)

Using the equation, the number of acorns that fell if 46 leaves fell is 33.

Leaves and acorns are falling from the trees. To work out the exact number of each you need to solve the following equation.

l + 3a  = 145

where

Let's find the number of acorns that fell if 46 leaves fell off from th tree.

Therefore,

l + 3a  = 145

46 + 3a  = 145

3a = 145 - 46

3a = 99

divide both sides by 3

a = 99 / 3

a = 33

Therefore,

number of acorns = 33

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Answer:

The answer is C

Step-by-step explanation:

-3/9 is bigger than -1 and -9/3 is smaller than -1

i wish you good luck

Answer: B

Step-by-step explanation: A is a translation, C is reflection and B is the reflection.

Hoped This Helped!

Answer:

A. Yes

Step-by-step explanation:

Each input corresponds to only one output, which satisfies the definition of a function.

Answer:

The transformations that have been done are reflected vertically -1/2 and moved to the right by 3 units.

Step-by-step explanation:

To find out what transformations differ from your parent graph, look at the a,h, and k values.

A value means if it is being vertically stretched or reflected

In this case, -1/2 is a vertically reflection(upside down).

We also have -3 as our h value. This tells us how many units right or left our graph moves. If the value is negative, it moves to the right. If the value is positive, it moves to the left.

Now you know how to find transformations that differ from the parent graph

The level of production that minimizes the average cost is the quantity of units produced when the value of the average cost function has a minimum value, which is 110 units of production

The minimum value of a function is given by the point of the graph of the function where the value is minimum.

The total cost function is C(x) = 0.2·(0.01·x² + 120)

x = The number of units produced (manufactured)

The average cost is the cost to produce one unit

Therefore;

[tex]Average\, cost, \, AC = \dfrac{Total \, cost }{Quantity \, produced}[/tex]
Therefore;

[tex]Average\, cost \, function,\, f(x) = \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}[/tex]

The quantity that minimizes the average cost is given by the minimum value of the average cost function, which is the point at which the slope of the function, f'(x) is zero as follows;

[tex]f'(x) =\dfrac{d}{dx} \left( \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}\right) = 0[/tex]

[tex]\dfrac{d}{dx} \left( \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}\right) =\dfrac{x^2-12000}{500\cdot x^2} = 0[/tex]

x² - 12000 = 0

x² = 12000

x = √(12000) = 20·√(30) ≈ 110

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First picture answer:

⇒Sum of interior angles of a triangle is 180°,this means that ∠1 +37°+24°=180°

[tex]< 1+61=180\\ < 1=180-61\\ < 1=119[/tex]

⇒m∠1=119°

______________________________________________________

Second picture answer:

⇒An exterior angle of a triangle is created by extending one side of the triangle.

⇒ Exterior angle at this point is m∠1

⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

⇒The two interior angles at this point are 76° and 52°

⇒The statement above just means m∠1=76°+52°

m∠1=128°

______________________________________________________

Third picture answer:

⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

⇒The exterior angle at this point is 104° and the two interior angles are 79° and m∠1

⇒The statement above means that

104°=m∠1 +79°

⇒Let us solve for the unknown angle m∠1

m∠1=104°-79°

m∠1=25°

Answer: 30/240 = 1/8

Step-by-step explanation: There are 30 $50 bills and 240 total. There is a 30/240 chance that the bill you pick is a $50 bill. To simplify the fraction - 1/8.

The image of the rotation in the transformation is (-1, 4)

The coordinates of the point are given as

Point = (3, -5)

The transformations are given as

T₁, ₄ rₓ-axis R₉₀°

Mathematically, this is represented as

(x, y) = (x + 1, y + 4) = (x + 1, -y - 4) = (y + 4, x + 1)

So, we have

(x, y) ⇒ (y + 4, x + 1)

Recall that

Point = (3, -5)

This gives

Image = (-5 + 4, 3 + 1)

Evaluate

Image = (-1, 4)

Hence, the coordinates of the image are (-1, 4)

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Answer:

6 cookies

Step-by-step explanation:

himself + 6 friend = 7

(17+25)/7

= 42/7

= 6

Each friende get:

6 cookies

Answer:

6 cookies each person

Step-by-step explanation:

(17+25=42)

The Volume of the Ball Bearings is 1.76 cubic. inches

Given :

The diameter of the ball bearings = 3/2 inches

The radius of the ball bearings = 3/4 inches

Now, The Volume of the Sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

Putting the value of radius = 3/4 in the formula of the Volume,

We have :

The volume of the ball bearings =

[tex]V =\frac{4}{3} \pi (\frac{3}{4} )^{3} = \frac{4}{3} *\frac{22}{7}*\frac{3}{4} *\frac{3}{4} *\frac{3}{4}\\ \\V = 1.76[/tex]

Hence, The Volume of the Ball Bearings =  1.76 cubic. inches

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Option-3 is correct. The mean difference in confidence between the two samples' 95% confidence interval falls between 4±3.7856.

Given that,

A sample has n = 18, SS = 102, and M = 12 for one sample. In a second sample, the n is 5, the SS is 171, and the M is 8.

We have to find The mean difference in confidence between the two samples' 95% confidence interval falls between which of the following ranges.

n₁=18 and SS=102

We get,

S₁=[tex]\sqrt{SS/n_{1}-1 }[/tex]=[tex]\sqrt{102/18-1}[/tex]=2.45

n₂=5 and SS=8

We get,

S₂=[tex]\sqrt{SS/n_{2}-1 }[/tex]=[tex]\sqrt{8/5-1}[/tex]=6.54

C is 95%=0.95

d=0.05

Pooled variance is

S²p=273.13/21=13.01

Standard error= S₁-S₂= 1.82

Confidence interval is

μ₁-μ₂

4±3.7856

Therefore, Option-3 is correct. The mean difference in confidence between the two samples' 95% confidence interval falls between 4±3.7856.

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There are two pairs of triangles given. Using transformation of triangles we can say that ΔABC and ΔEFG are congruent. ΔDEF and ΔJKL are non-congruent to each other.

There are three types of transformations in triangles. They are translations, rotations and reflections.

Translation is nothing but changing the position of the figure without disturbing its shape and size. Two triangles are said to be congruent if their corresponding sides and angles are proportional.

In triangles ΔABC and ΔEFG, the sides AB and EF are proportional to each other, AC and EG are proportional to each other and BC and FG are proportional to each other. Translation is seen in ΔABC and ΔEFG.

In triangles ΔDEF and ΔJKL, neither the sides nor the angles are proportional to each other. Hence, ΔDEF and ΔJKL are not congruent to each other.

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Yes At = 0.025 is there enough evidence to reject the claim.

Given:

A random sample of 10 buildings is selected, and the heights in feet are shown.

485 511 841 725 615 520 535 635 616 582

Mean x = 6065/10

= 606.5

H : μ ≤ 700

n = 10

s = 109.08

α = 0.25

Test stat t = x - μ / s/[tex]\sqrt{n}[/tex]

on submitting the above values

t = -2.71.

so reject h.

Therefore Yes At = 0.025 is there enough evidence to reject the claim.

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Answer:

89 decimeters I THINK...

Step-by-step explanation:

1 m → 10 dm

8.9 m → L(dm)

Solve the above proportion to obtain the length L in decimeters:

L(dm) = 8.9 m × 10 dm

L(dm) = 89 dm

The final result is:

8.9 m → 89 dm

Answer:

89 decimeters

Step-by-step explanation:

8.9 m × 10 = 89 dm

Answer:

the answer is A

Step-by-step explanation:

you are dividing with a - so the signs will switch

For the given set of marbles at random draw 3 marbles without replacement then the probability of withdrawing all marbles are red is equal to 0.0545 and none of the given marbles are red is equal to 0.2378.

As given in the question,

Total number of marbles in a bag = 9 red + 6 white + 7 blue

                                                     = 22 marbles

Number of marbles drawn from a bag without replacement = 3

Probability of all the three marbles are red without replacement :

First marble is red = 9 /22

Second marble is red = 8 /21

Third marble is red = 7/20

Required probability of all marbles are red

= (9/22) (8/21)(7/20)

= 504/ 9240

= 0.0545 (round off to 4 decimals)

Probability of all the three marbles are not red without replacement :

First marble is not red =(1- 9 /22)

                             = 13/22

Second marble is not red = 1- (8 /21)

                                        = 13/21

Third marble is not red = 1- (7/20)

                                    = 13/20

Required probability of all marbles are not red

= (13/22) (13/21)(13/20)

= 2197/ 9240

= 0.2378 (round off to 4 decimals)

Therefore, for the given set of marbles at random draw 3 marbles without replacement then the probability of withdrawing all marbles are red is equal to 0.0545 and none of the given marbles are red is equal to 0.2378.

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The point-slope form of the equation is y - 1 = 0

From the graph, we have the following points

(-2, 1) and (0, 1)

Start by calculating the slope of the points

This is calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

This can be rewritten as

m = (y₂ - y₁)/(x₂ - x₁)

Where

slope = m

(x, y) = (-2, 1) and (0, 1)

So, we have

m = (1 - 1)/(0 + 2)

Evaluate the expression

m = 0

From the question, we understand that:

(x₁, y₁) = (-2, 1)

The equation of the line is then calculated as

y - y₁ = m(x - x₁)

Substitute the known values in the above equation, so, we have the following representation

y - 1 = 0(x + 2)

Evaluate

y - 1 = 0

Hence, the equation of the line is y - 1 = 0

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[tex]\fbox{64 or 8*8}[/tex]

[tex]2^6=64[/tex]

[tex]8\times8=64[/tex]

the difference between 9 and 2 is 7

Answer:

7?

Step-by-step explanation:

Uhhhh
You subtract 9 and 2
7
That's crazy now

Answer:

a

Step-by-step explanation:

cause

The range for the third side will be around 5<x<10

What is Pythagoras theorem?

Pythagoras theorem is a theorem applied to right angled triangle. It states that sum of squares of sides of a right triangle is equal to the square of the hypotenuse.

Let use consider that the given triangle is right triangle

We know the length of the hypotenuse is 10

And one of the side is of length 7

Let the side of the triangle be 'x'

Hence by Pythagoras theorem

We have

7^2+x^2=10^2

49+x^2=100

x^2= 51

x= 7.2

Hence this range is in between 5<x<10

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A. Her estimate is not reasonable, as she does not have enough money to buy the 3 sunglasses.

B. The change that she will receive is of $4.67.

C. Her $30 will be enough to take advantage of the deal.

The values are obtained applying the proportions, which are the prices of each product in this problem.

For item a, the cost of three sunglasses should be of:

3 x 14.72 = $44.16.

The estimate to the nearest tenth is not reasonable, as she does not have enough money to buy the sunglasses.

The cost in item b is given as follows:

9.83 + 2 x 2.75 = $15.33.

The change is given by the amount paid subtracted by the total cost, hence:

Change = 20 - 15.33 = $4.67.

The amount paid in item c is of:

3 x 9.83 = $29.49.

Which is less than $30, hence her $30 will be enough to take advantage of the deal.

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