Telephone poles, spaced 100 feet apart, line the road on which Jesse lives. If Jesse runs from the first pole to the seventh pole, how many feet does he run? Draw a picture that illustrates the problem. ​

Answer:

1. Mary's mother gave her ten dollars to spend at the Market. Mary then spends two and a half dollars on her favorite candy. Mary wants to know how much money she has left.

2. x represents the amount of money Mary has remaining.

3. x + 2 1/2 = 10

(sub tract 2 1/2 from each side)

x = 7 1/2

Step-by-step explanation:

The standard deviation of 83 million eggs and 2,655 millions eggs represent that of 3% of the farmers, of the production that is normally distributed, indicates that the mean egg production by Queensland farmers is about 2498.1 million eggs.

A normal distribution is a probability distribution such that the values of the distribution are symmetrical around the mean value of the distribution.

The standard deviation, σ = 83 million eggs

The percentage of farmers that produce more than 2,655 million eggs, x = 3%

The formula for the z-score is; [tex]Z = \dfrac{x - \mu}{\sigma}[/tex]

Therefore, we get;

[tex]Z = \dfrac{2655 - \mu}{83}[/tex]

From the z-score table for P(Z > Z₁), where Z₁ is the z-score corresponding to Φ(1 - 0.03) = Φ(0.97)

The z-value corresponding to Φ(0.97) is about 1.89

Therefore;

[tex]Z = \dfrac{2655 - \mu}{83} \approx 1.89[/tex]

83 × 1.89 ≈ 2655 - μ

μ ≈ 2655 - 83 × 1.89 = 2498.1

The mean egg production by Queensland farmers is about 2498.1 million eggs per year

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An equation may have more than one solution.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.

Steps to solve a linear equation:

1. If necessary, remove the parentheses and use the distributive property.

2. By merging like terms, make both sides of the equation simpler.

3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.

4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.

5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.

6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.

7. Get the answer by isolating the variable.

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Answer:

0.944

Step-by-step explanation:

First of all, are you sure the datas are alright? We have a count of 1054 defendants while adding up all these numbers.

Assuming the datas are true, out of the 1054 defendants:

- 399 are sent to prison and guilty

- 567+29 = 596 aren't sent to prison.

Since we are looking for the probability that a randomly selected defendant either pled guilty or was not sent in prison, it means we have

[tex] \frac{399+596}{1054} = \frac{995}{1054} = 0.944[/tex]

(rounded to three decimal places).

Answer:

35.4ft

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

first, you would subtract 1 from 80 and get -9x = -81 then you can just divide -81 by -9 or 9 from 81, either way, you'll have x = 9

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{x=9}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Equation for 'x':}}\\\\-9x+1=-80\\---------\\\rightarrow -9x+1-1=-80-1\\\\\rightarrow -9x=-81\\\\\rightarrow\frac{-9x=-81}{-9}\\\\\rightarrow \boxed{x=9}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]x^2+y^2+14y+36=0[/tex]

Step-by-step explanation:

Given that,

Center = (2,-9)

Radius of the circle, r = 7

We need to find the equation of a circle with a center at  (2, -9) and a radius of 7. It can be given by :

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Put h = 2, k = -9 and r = 7 So,

[tex](x-2)^2+(y-(-9))^2=7^2\\\\x^2+4-4x+y^2+81+18y=49\\\\x^2+y^2+14y+85-49=0\\\\x^2+y^2+14y+36=0[/tex]

Hence, this is the required solution.

Answer:

y is 40.54 degrees

x is 49.46 degrees

Step-by-step explanation:

Recall that Pythagoras theorem states that

a^2 + b ^2 = c^2

where a and b are the opposite and adjacent sides of a right angled triangle and c is the hypotenuse side

Using the notation SOH CAH TOA

Sin y = 13/20 where 13 is the length of the opposite side and 20 is that of the hypotenuse side.

y = sin^-1 0.65

y = 40.54 degrees

Considering angle x,

Cos x = 13/20 where 13 is the adjacent side and 20 is the hypotenuse side

x = Cos^-1 0.65

= 49.46 degrees

Answer:

x=49

y=41

Step-by-step explanation:

Answer: It is 16/21

Step-by-step explanation: Once you find a common denominator just add the top and leave the bottom alone

Answer:

16/21

Step-by-step explanation:

Answer:

C. 15 bundles

Step-by-step explanation:

In this scenario, the okra seller intends selling his products in bundles of 3 and 5. This simply means that each bundle would either contain 3 okra or 5 okra.

Hence, to find the least number of okra that could be sold in these bundles, we would find the lowest common multiple (LCM) of 3 and 5.

LCM = 3 * 5

LCM = 15

Therefore, 15 is least number that okra can be packed in bundles of 3 and 5 because it's the lowest number that could be divided by both numbers at a time.

9514 1404 393

Answer:

  (c)  Not parallel: corresponding angles are not congruent

Step-by-step explanation:

The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.

The length of AB in the line segment is 21 units.

A line segment is bounded by two distinct points on a line. In other words, a line segment is a part of a line that connects two points which are considered to be its endpoints.

Therefore, let's find the length AB, in the line segment AC.

Hence,

AC = AB + BC

AC = 23

AB = 2x + 7

BC = 3x - 19

Therefore,

23 = 2x + 7 + 3x - 19

23 = 5x  - 12

23 + 12 = 5x

35 = 5x

divide both sides by 5

x = 35 / 5

x = 7

Therefore,

AB = 2x + 7 = 2(7) + 7 = 14 + 7 = 21

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Answer:

Step-by-step explanation:

The slope of a line given two points [tex](x_0,y_0)[/tex] and [tex](x_1,y_1)[/tex] is

[tex]m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}[/tex]

Answer:

the flag is 50 feet long and 160 feet wide

Answer: The width is 330 feet and the length is 790 feet.

Step-by-step explanation:

     We will write a system of equations to help us solve. Let w be the width and l be the length.

2w + 2l = 2,240 ft

l = 460 ft + w

     Now, we will solve for w, the width, by substituting one equation into the other.

2w + 2l = 2,240 ft,       l = 460 ft + w

2w + 2(460 ft + w) = 2,240 ft

2w + 920 ft + 2w = 2,240 ft

4w + 920 ft = 2,240 ft

4w = 1,320 ft

w = 330 ft

     The width is 330 feet.

     Now, we will solve for l, the length.

l = 460 ft + w,          w = 330 ft

l = 460 ft + 330 ft

l = 790 ft

     The length is 790 feet.

Answer:

Graph 1: The slope is -1/1 or -1

Graph 2: The slope is -1/1 or -1

Step-by-step explanation:

I hope this helps!

Answer:

f(-2) ≈ 2.00

Step-by-step explanation:

f(x) = e^(4x + 2) + 2

At x = -2

f(-2) = e^(4(-2) + 2) + 2

f(-2) = e^(-8 + 2) + 2

f(-2) = e^(-6) + 2

use calculator

f(-2) = 0.002478752176666 + 2

f(-2) = 2.002478752176666

Rounded to 2DP

f(-2) ≈ 2.00

Answer:

72 laps

Step-by-step explanation:

2/16=8

8x9=72

Answer:

[tex]\boxed{\boxed{\sf x=1}}[/tex]

Step-by-step explanation:

[tex]\sf 25x^2=-25+50x[/tex]

Simplify both sides of the equation:-

[tex]\sf 25x^2-50x=-25[/tex]

Subtract 50x-25 from both sides:-

[tex]\sf 25x^2-(50x-25)=50x-25-(50x-25)[/tex]

[tex]\sf 25x^2-50x+25=0[/tex]

Factor left side of equation:-

[tex]\sf 25(x-1)(x-1)=0[/tex]

Set factors equal to 0:-

[tex]\sf x-1=0\: or\: x-1=0[/tex]

[tex]\sf x=1[/tex]

___________________

Hope this helps!

Have a great day!

Answer:

5

Step-by-step explanation:

Answer:

B. n + 6 = 12

C. 4 • 6 = 24

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is b. n+6 and c. 4×n=24.

hope this helps,have a great day!!

~Pinky~

Its 336 sorry if I'm wrong

Answer:

  c : d : u = 8 : 6 : 27

Step-by-step explanation:

Given c:d = 4:3 and d:u = 2:9, you want c:d:u.

To write the desired ratio, we need to convert the others so they have the same number of ratio units representing 'd'. That number can be the least common multiple of 3 and 2, which is 6. Knowing this, we can write ...

  c:d = 4:3 = 8:6

  d:u = 2:9 = 6:27

Then the desired ratio is ...

  c:d:u = 8:6:27

Answer:

x = 2

Step-by-step explanation:

2 + 3 = 5

Answer:

This Might Be Helpful To You

Step-by-step explanation:

It is a good idea to try to save up money to buy large items or find 0% interest deals so

you are not paying interest. However, this is not always possible, especially when buying

a house or car. That is when it is important to understand how much interest you will be

charged on your loan.

Answer:

Y=-x^2+4/3 (not really sure though)

Answer:

25%

Step-by-step explanation:

slope = (175-100)/300 = 75/300 = ¼

the percent slope = ¼×100%= 25%

Answer: y = -4

Step-by-step explanation:

y = 4x-6

y = 4(1/2)-6

y = 2-6

y = -4

Answer:

Step-by-step explanation:

Y = 4x - 6

Putting value of x = 1/2 in the equation

Y = 4(1/2) - 6

= 2 - 6

= - 4