which of the following graphs represents the equation y+2=3(x-1)

Final answer:

Katie's mistake was in her division calculation. The correct way to find out how many quarter pounders can be made from 5 pounds of meat involves converting pounds to ounces, because you can make 20 quarter pounders when you multiply 5 by 16 to convert to ounces and then divide by 4.

Explanation:

Katie's strategy to divide the total weight of the hamburger meat by the weight of one quarter pounder is a correct approach, but her calculation is incorrect. When you want to determine how many quarter pounders you can make from 5 pounds of hamburger meat, you need to divide the total pounds of hamburger meat by the weight of one quarter pounder, which is 0.25 pounds.

To correct Katie's mistake, you should multiply the weight in pounds by the unit equivalence to get the weight in ounces since we are dealing with a conversion from a larger unit (pounds) to a smaller unit (ounces). Considering the fact that 1 pound equals 16 ounces, the calculation should be:

5 pounds  imes 16 ounces/pound = 80 ounces

After converting the weight to ounces, now compare it to the weight of a quarter pounder in ounces:

0.25 pounds  imes 16 ounces/pound = 4 ounces per quarter pounder

Finally, divide the total number of ounces of hamburger meat by the number of ounces in a quarter pounder to determine how many quarter pounders you can make:

80 ounces/4 ounces per quarter pounder = 20 quarter pounders

Therefore, you can make 20 quarter pounders from 5 pounds of hamburger meat.

Answer: In a regular decagon, there are 10 lines of symmetry.

Step-by-step explanation:

Line of symmetry divides a figure into two equal halves so that if you flip the half image over the line of symmetry , the figure will look unchanged.

A regular decagon has 10 vertices and 10 edges.

To draw line of symmetry :

1.Draw lines to meet the exactly opposite point [shown by red color in the picture attached with the answer].

∴ 10 vertices will form 5 lines of symmetry.

2.Draw lines from the mid points of all the edges to the midpoint of the exactly opposite edge [shown by blue color in the picture attached with the answer].

∴ 10 edges will form 5 lines of symmetry.

⇒Total lines of symmetry in a decagon =5+5= 10

5/8 to decimal= .625

Hope this helps!

rational number can be represented by a fraction with an integer numerator and integer denominator. An irrational number cannot.

0.625 = 625/1000 so it is rational.

hope this helps!

Angela bought 4 casual shirts, and 6 dressy shirts.

To find this, I used the equation ($18c) + ($25d) = $222, and filled in for c (casual) and d (dressy) until the outcomes were the same. Filling in for c and d, you'll get ($18 * 4) + ($25 * 6) = $222. Solving both sides, you'll get $72 + $150 = $222 or $222 = $222. Thus meaning she bought 4 casual shirts and 6 dressy shirts,

I hope this helps!

7(4n-6)= - 182

28n-42= -182

       +42   +42

28n/28= -140/28

n= -5

This is incorrect, 7x4n=28n and -7x6=-42. There is no way to get -182.

Because they were flipped and turned

Hello There!

Mr. Ramos thumb measures 0 meters. 100cm=1m

Run on sentences is a sentence that doesn't have proper punctuation

Ex: I love to write papers I would write one every day if I had the time.

this is a run-on sentence because you need a comma or a period between them.

7 + 7 = 14, 14 - 1 = 13

hope this helps :)

Answer: 13

Step-by-step explanation:

[tex]14+(-1)[/tex]                 Add [tex]7[/tex] to [tex]7[/tex]

[tex]14-1[/tex]                     Take the parentheses off

[tex]13[/tex]                        Subtract [tex]14[/tex] to [tex]1[/tex]

Additional Information: A runoff sentence is where a sentence have no cut off and continues.

Example: I have a car and the car has black on it and is very shiny with a clean engine and more and it can drive very fast.

*This is an example more examples can vary*

-14+6b+7-2b=1+5b

step 1: simplify the equation

-7+4b=1+5b

step 2: collect your variables

-7=1+b

step 3: collect your whole numbers

-8=b

Alright, so before we can answer this problem we need to go over some basics! For this problem, you'll need to know:

The Triangle Sum theorem states that the interior angles of every triangle must add up to 180 degrees.

Also, corresponding angles are angles that have the same relative position when 2 lines intersect. Therefore, angle I and angle K are corresponding (and as an example, angle J and angle H are corresponding). When lines are parallel (Line HI and Line JK), corresponding angles are equal.

Now that we've covered that, we can use that information to find x!

Let's start with finding angle I since we know it'll be equal to angle X. We also now know that angle H + angle A + angle I = 180. So, plug it in.

56 + 66 + I = 180.

122 + I = 180

Then subtract on both sides:

I = 58.

Since I = X we now know that angle x = 58 degrees.

Answer:

1092 miles/year

Step-by-step explanation:

84/4=21

21 miles/week

21*52=1092

1 year = 52 weeks.

Divide total weeks in a year by 4:

52 / 4 = 13

Multiply 84 miles by 13 = 1092 total miles in a year.

We are given function : [tex]M(t)=-t^2+10t[/tex],  where t is the number of hours of after she takes the madicine.

We need to find, how many hours after Elizabeth takes her madicine is the amount of madicine in her blood is highest.

Note: The given function is a quadratic function and a quadratic function represents a parabolic shape.

The highest point on the parabola is the vertex of the parabola.

The x-coordinate of the vertex of the parabola would represent the number hours after Elizabeth takes her madicine is the amount of madicine in her blood is highest.

We know, x-coordinate of the vertex = [tex]\frac{-b}{2a}[/tex]

For the given quadratic function a= -1 and b=10.

Plugging values of a and b in  x-coordinate of the vertex formula, we get

[tex]\frac{-10}{2(-1)}=\frac{-10}{-2}=5[/tex]

Therefore, after 5 hours Elizabeth takes her madicine is the amount of madicine in her blood is highest.

Answer:

3)198

4)3:4

Step-by-step explanation:

3)

144/8= 18

3*18=  54

144+54= 188

4)

18/2=9

9*3=27

27-3=24

18:24 = 3:4

Let consecutive odd numbers be  

x , x+2 , x+4

Smallest number =x

Middle number =x+2

Largest number =x+4

According to condition (x) +(x+2) -27 = 3(x+4)

                                      x+x+2-27= 3(x+4)

                                      2x-25= 3x+12

Subtracting 2x and 12 both sides

                                   2x-25-2x-12=3x+12-2x-12

                                     -37= x   this is smallest odd number.

Other two odd numbers are (x+2)= (-37+2)=(-35)

                             &                (x+4)=(-37+4)=(-33)

so three consecutive odd numbers are -37 ,-35 , -33

For this one, an easy way to solve it is to break it down into parts.  First lets convert 5 feet to inches.  

Multiply the number of feet by how many inches are in one foot.  

5 times 12= 60 in

Now just add the like terms

60 in + 2 in= 62 inches.

Now we see that Sarah is 62 inches tall, now we can convert to centimeters the same way.

62 times 2.54= 157.48

So that makes C your answer, Sarah is 157.48 cm tall.

Final answer:

To convert Sarah's height to centimeters, multiply her total height in inches (5 feet and 2 inches, which is 62 inches) by 2.54 cm/inch to get 157.48 centimeters. So, the correct answer is option C, 157.48 centimeters.

Explanation:

To convert Sarah's height from feet and inches to centimeters, you start by converting each measurement to inches, and then convert the total number of inches to centimeters. Sarah is 5 feet and 2 inches tall. One foot is equal to 12 inches, so first we convert her height in feet to inches: 5 feet × 12 inches/foot = 60 inches. Then, add 2 inches to this to get her total height in inches: 60 inches + 2 inches = 62 inches.

Now, convert inches to centimeters using the conversion factor 1 inch = 2.54 centimeters: 62 inches × 2.54 cm/inch = 157.48 centimeters. Therefore, the correct answer is C.

3.5(t+6)=7

Use Distributive Property:

3.5t + 21 = 7

Subtract 21 from both sides:

3.5t = -14

Divide both sides by 3.5:

t = -14 / 3.5

t = -4

The answer is A.

To solve for the value of t in the equation 3.5(t+6)=7, we divide both sides by 3.5 and then subtract 6 from both sides, resulting in t = -4.

To find the value of t, we need to solve the equation 3.5(t+6)=7. To do this, we start by dividing both sides of the equation by 3.5 to isolate the t term:

Next, we subtract 6 from both sides to solve for t:

Therefore, the value of t is -4, which corresponds to option A.

answer : option C

[tex]f(x) = x^3 + x^2 - 8x - 8[/tex]

Lets find the number of zeros by factoring

[tex]0 = x^3 + x^2 - 8x - 8[/tex]

Group first two terms and last two terms

[tex]0 = (x^3 + x^2) (- 8x - 8)[/tex]

Factor out GCF from each group

[tex]0 = x^2(x + 1)-8(x + 1)[/tex]

[tex]0 = (x^2-8)(x + 1)[/tex]

Now we set each factor =0 and solve for x

0 = (x^2-8)             and   (x + 1)=0

[tex]x^2 = 8[/tex]            and x = -1

[tex]x= 2+-\sqrt{2}[/tex]     and x= -1

So we have three real zeros

The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

Answer:

Joy definitely does have enough soup for 22 people.

Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285 L                      10÷2=5

280ml

Lower Bound: 275ml turn it  to 0.275 L

Upper Bound: 6.75 L                           0.5÷2=0.25

6.5 Litters

Lower Bound:6.25  L

6.75÷0.275=24.54 or 25  

6.25÷0.285=21.92 or 22

22≤x<25 Joy definitely does have enough soup for 22 people.

The measurement uncertainty in the question gives the range within

which the true value of the given measurement can be found.

Yes, Joy definitely has enough soup to serve 22 people.

Reasons:

Volume of the soup Joy makes = 6.5 L ± 0.5 L = 6,500 mL ± 500 mL

Volume of soup per serving = 280 mL ± 10 mL

Number of people that order the soup = 22 people

Required:

If soup made is enough for 22 people

Solution:

The uncertainty in measurement, u, is expressed as follows;

X ± u

X - u ≤ True value ≤ X + u

Therefore;

Total volume ordered, V₀ = 22 × (280 ± 10) mL = 5,940 mL ≤ V₀ ≤ 6380 mL

The volume of soup made range is given as follows;

(6,500 - 500) mL ≤ M₀ ≤ (6,500 + 500) mL

Which gives;

6,000 mL ≤ M₀ ≤ 7,000 mL

The minimum amount of soup required to serve 22 people = 5,940 mL

The minimum amount of soup Joy makes = 6,000 mL

Therefore, Joy definitely has enough soup to serve 22 people.

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500*0.01+0.1*2=

5+0.1*2=

5+0.2=

5.2 cm thick.

I hope this helped!

The total thickness of the book, including its front and back covers, is calculated to be 5.2 cm.

The question asks for the total thickness of a book including its covers. The calculation combines the thickness of 500 sheets of paper and the front and back covers. Here is a step-by-step breakdown:

Thickness of one sheet: 0.01 cm

Total thickness of all sheets: 500 sheets  imes 0.01 cm/sheet = 5 cm

Thickness of one cover: 0.1 cm

Total thickness of both covers: 2 covers  imes 0.1 cm/cover = 0.2 cm

Total book thickness: 5 cm (sheets) + 0.2 cm (covers) = 5.2 cm

Therefore, the total thickness of the book with its covers is 5.2 cm.

1. 8/2 * 6

We multiply the numerator with the whole number and then simplify the fraction.

8 *6 = 48. then divide by 2 gives us 24

[tex]\frac{8}{2} * 6= \frac{48}{2}=24[/tex]

2. 5/2 * 7

We multiply the numerator with the whole number and then simplify the fraction.

5 times 7 = 35

[tex]\frac{5}{2} * 7= \frac{35}{2}[/tex]

3. 7/2 * 1

We multiply the numerator with the whole number and then simplify the fraction.

7 times 1 =7

[tex]\frac{7}{2} * 1= \frac{7}{2}[/tex]

Question 1. 8/2 * 6

Solution:

8/2 * 6 = 48/2 = 24

                                            Answer of question 1 is 24.

Question 2.  5/2 * 7

Solution:

5/2 * 7 = 35/2 = 17.5

                                            Answer of question 2 is 17.5.

Question 3. 7/2 * 1

Solution:

7/2 * 1 = 7/2 = 3.5

                                          Answer of question 3 is 3.5.

you would end up paying $4,750

but the answer is A) $5000

mark brainliest please it would help alot

:)

Answer:

The principal would be $ 5000.

Step-by-step explanation:

Since, the principal is the initial amount of a loan or we can say that the borrowed amount is called principal amount of a loan,

Given,

$5,000 was borrowed to remodel a home at 5% interest rate,

Thus, the borrowed amount = $ 5000

⇒ Principal amount = $ 5000

Hence, first option is correct.

Answer:

The last graph.

Step-by-step explanation:

In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle.  Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio.  Since it is proportional for all sides, this is a dilation.

Answer:

Last GRaph

Step-by-step explanation:

First, you need to have a similar denominator! so the closest would be 1/6th

put 8 and 24 back into the percentages to get 24/3 and 48/2

then multiply everything by 2 or 3 to make it sixths getting 48/6 and 144/6

these two simplify to 8 and 24 ( Look it didnt change!)

so to answer 1/3 of it is left or 16

I believe that the answer is 12.5%

Reason 100% of 80= 80,

So if 80=100%,

then that means 10=x%

Fore it means that, [tex]x=(\frac{10}{80} )*100[/tex]%=12.5%

Answer:

Let the required percentage be x%.

Atq,

[tex] \: \: \: \: \: \: \: x\% \: of80 = 10 \\ = > \frac{x}{100} \times 80 = 10 \\ = > \frac{4x}{5} =1 0 \\ = > 4x = 5 \times 10 \\ = > x = \frac{5 \times 10}{4} \\ = > x = \frac{5 \times 5}{2} \\ = > x = \frac{25}{2} \\ = > x = 12.5[/tex]

Hence, required percentage = 12.5%

The answer is 0.75 Hope this Helps

36*6= 216 inches in a yard

Each pack of trail mix is targeted to weigh 9.25 oz.

A pack must weigh within 0.23 oz of the target weight to be accepted.

Let the weight of the pack x

The range of accepted weight will be as following:

∴ 9.25 - 0.23 < x < 9.25 + 0.23  

subtract 9.25 from all sides

∴ -0.23 < x - 9.25 < 0.23

which can be written as ⇒⇒⇒  | x - 9.25 | < 0.23

So, the rejected weight is the inverse of that inequality.

∴ The absolute value inequality for the rejected weight range is:

| x - 9.25 | > 0.23

=====================================

So, the range of rejected masses:    x < 9.02   OR  x > 9.48

it would take 10 3/5 cups of liquid fertilizer

By setting up a proportion and solving, we find that it takes approximately 10.67 cups of liquid fertilizer to make 80 gallons of spray.

The problem deals with a simple rate, or ratio. In this case, the rate is 1 cup of fertilizer per 7.5 gallons of spray. We need to find out how much fertilizer is needed for 80 gallons of spray.

To do this, we need to set up a proportion. On one side of the equation, we'll have the original ratio (1 cup fertilizer : 7.5 gallons spray). On the other side, we'll set up a ratio with the quantity we're trying to find (x cups fertilizer : 80 gallons spray).

So, our equation looks like this:

1 cup / 7.5 gallons = x cups / 80 gallons

To solve for x, we can cross-multiply:

1 cup * 80 gallons = x cups * 7.5 gallons

Which simplifies to:

80 = 7.5x

To isolate x, we divide both sides of the equation by 7.5:

x = 80 / 7.5

Through this, we get that it takes approximately 10.67 cups of liquid fertilizer to make 80 gallons of spray.

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