The sum of three consecutive integers is 171. What is the largest integer ?

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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Hello again,

You multiply 53 beats to 5 seconds: 53 x 5 = 265

hope that helps :)

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.

The answer is 225 because 75x3 =225

Final answer:

The length of the rectangle is 15 inches and the width is 5 inches, determined by setting up an equation using the given conditions that the area is 75 square inches and the length is three times the width.

Explanation:

The question asks us to find the length and width of a rectangle given that the length is three times the width and the area of the rectangle is 75 square inches. To solve this, let's denote the width of the rectangle as w inches. The length would then be 3w inches since it is three times the width. The area of a rectangle is found by multiplying the length and width, so we can write the equation:

Area = length × width

75 = 3w × w

To find the width (w), we need to solve the quadratic equation:

w² × 3 = 75

w² = 75 / 3

w² = 25

To find w, we take the square root of 25, which gives us:

w = 5 inches

Now that we have the width, we can easily find the length by multiplying the width by 3:

Length = 3 × 5

Length = 15 inches

Therefore, the width of the rectangle is 5 inches and the length is 15 inches.

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!

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.

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.

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*

Answer:

since no one got the point on 2018 i will be getting it thxxxx

Step-by-step explanation:

Answer:

There are an infinite number of fractions in between numbers on a number line.

Step-by-step explanation:

The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.

Answer:

Infinite number

Step-by-step explanation:

Because they were flipped and turned

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.

Answer:

[tex]107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ[/tex]

Step-by-step explanation:

9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:

[tex]x+73^\circ=180^\circ[/tex]

[tex]x=107^\circ[/tex]

10. For the lines  'm' and 'n' to be parallel the alternate exterior angles should be equal that is:

[tex]147^\circ=x+14^\circ[/tex]

[tex]x=147^\circ-14^\circ[/tex]

[tex]x=133^\circ[/tex]

11. For the lines  'm' and 'n' to be parallel alternate angles should be equal that is:

[tex]180^\circ-3x=2x+20^\circ[/tex]

Solving for 'x' we get:

[tex]180^\circ-20^\circ=3x+2x[/tex]

[tex]5x=160^\circ[/tex]

[tex]x=32^\circ[/tex]

12. For the lines  'm' and 'n' to be parallel corresponding angles should be equal that is:

[tex](7x-11)^\circ=(4x+58)^\circ[/tex]

[tex]7x-4x=58^\circ+11^\circ[/tex]

[tex]3x=69^\circ[/tex]

[tex]x=\frac{69}{3}=23^\circ[/tex]

-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:

"conversion factor"

Step-by-step explanation:

Answer:

Conversion factor.

Step-by-step explanation:

A conversion factor may be a ratio of two proportionate measures in completely different units.

Answer:

The answer would be UNSOLVABLE

this is true because there is no way they can equal the same number

Hope this helped:)

Step-by-step explanation:

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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Hey there! :)

Answer: x = 9.4

Step-by-step explanation : How do we know this? Well, let's first rewrite our question.

(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)

Let's multiply everything out.

(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)

Simplify.

1089.648 = 115.92x

Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92

Simplify.

9.4 = x

So, our final answer is x = 9.4

~hope I helped!~

Answer: x = 9.4

Step-by-step explanation : How do we know this? Well, let's first rewrite our question.

(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)

Let's multiply everything out.

(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)

Simplify.

1089.648 = 115.92x

Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92

Simplify.

9.4 = x

So, our final answer is x = 9.4

~hope I helped!~

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

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

The two given angles are Supplementary angles and when added together need to equal 180 degrees.

2x +5 + x-5 = 180

Simplify ( Combine like terms):

3x = 180

Divide both sides by 3:

x = 180 / 3

x = 60

Hello There!

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

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

Answer:

C) Real numbers from 0 to 8.

Step-by-step explanation:

We have been given a graph between depth (dependent variable) and time (independent variable). We need to figure out the domain of the given graph.

We know that domain is the set of values of independent variable for which the graph produces a finite value of dependent variable.

From the graph, we can see that for values of time between 0 and 8 minutes, the graph produces a finite value of depth. Therefore, domain of the given graph is all real numbers between 0 and 8 (inclusive).

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.

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.

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