Jorge Claims that the distance between his house and the library is 13 miles. His city is placed on a coordinate plane. Jorge's House is at the coordinates (5, 1), the mall is at coordinates (2, 11) and hte Library is at cordinates (10, 13). What equation verifies his claim?

Answer:

[tex]0.2 = \frac{2}{10} = \frac{2}{10 ^{1} } = 2 \times {10}^{ - 1} \\ 0.03055 = \frac{3055}{100000} = \frac{3055}{ {10}^{5} } = 3055 \times {10}^{ - 5} \\ 0.2 \times 0.03055 = 2 \times {10}^{ - 1} \times 3055 \times {10}^{ - 5} \\ = 2 \times 3055 \times {10}^{ - 1 + ( - 5)} \\ = 2 \times 3055 \times 10^{ - 1 - 5} \\ = 2 \times 3055 \times {10}^{ - 6} \\ = 6110 \times {10}^{ - 6} \\ = \frac{6110}{ {10}^{6} } \\ = \frac{6110}{1000000} \\ = 0.006110[/tex]

Answer:

Inspection fee = $50

h = 2 hours

Step-by-step explanation:

Let

x = the inspection fee

Charge per hour = $22

Number of hours = 4

A customer with a coupon for 40% off the inspection fee

This means the customer paid 60% of the inspection fee

118 = 60% of x + 22(4)

118 = 0.6x + 88

118 - 88 = .6x

30 = .6x

x = 30/0.6

x = $50

Inspection fee = x = $50

How many hours are worked when a customer pays $94 without a coupon?

94 = 50 + 22h

94 - 50 = 22h

44 = 22h

h = 44/22

h = 2 hours

Answer:

probably 2.5/d

Step-by-step explanation:

my mathematical teacher

Answer:

1. D 2. A

Step-by-step explanation:

please tell me if you need an explanation.

Answer:

Step-by-step explanation:

Given equation

Rewrite in slope-intercept form:

The slope is -2/3 and the y-intercept is 9

Correct answer option is C or third option

Given equation

The bill of $25 is represented as:

Correct option is A or the first option.

Answer:

x=50.7°

Step-by-step explanation:

Use the given angle of x° to find which trigonometry ratio to use. We are given the side adjacent to the angle and the hypotenuse. Therefore, we use the cosine ratio:

[tex]cosineX=\frac{adjacent}{hypotenuse}[/tex]

Insert the given values:

[tex]cos.x=\frac{19}{30}[/tex]

In order to fin the angle, use the inverse:

[tex]x=cos^{-1}(\frac{19}{30} )[/tex]

Insert the equation into a calculator:

[tex]x=50.70351976[/tex]

Round to the nearest tenth:

[tex]x=50.7[/tex]

:Done

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

Answer:your mom

Step-by-step explanation:

cause i took it already

The number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, let we had:

R numbers of red counters, and G number of green counters originally.

Then, total counters in the bag originally = R +G

One counter out of R+G counters can be chosen in R+G ways. But one green counter out of R+G counters can be chosen in G ways.

Thus, probability of taking green counter out in one random picking is:

[tex]\dfrac{G}{R + G}[/tex]

It is given that this probability is 4/9. Therefore, we get:

[tex]\dfrac{G}{R+G} = \dfrac{4}{9}\\\\\\9G = 4R + 4G\\\\5G = 4R[/tex](first equation)

When 4 more red counters and 2 more green counters were added, then:

One counter out of R+G+6 counters can be chosen in R+G+6 ways. But one green counter out of R+G+6 counters can be chosen in G+2 ways (since there are G+2 green counters in the considered bag) ways.

Thus, probability of taking green counter out in one random picking is:

[tex]\dfrac{G+2}{R + G+6}[/tex]

It is given that this probability is 10/23. Therefore, we get:

[tex]\dfrac{G+2}{R+G+6} = \dfrac{10}{23}\\\\\\23G + 46 = 10R + 10G + 60\\\\13G = 10R + 14[/tex](second equation)

Thus, we got a system of two linear equations as:

[tex]5G = 4R\\13G = 10R + 14[/tex]

From first equation, getting the value of G in terms of R,

[tex]G = \dfrac{4R}{5}\\[/tex]

Now, substituting this with G in the second equation, we get:

[tex]\\13\left(\dfrac{4R}{5} \right) =10R + 20\\\\52R = 50R + 20\\2R = 20\\R = 10[/tex]

From this value of R, and the value of G in terms of R, we get:

[tex]G = \dfrac{4R}{5}\\\\ = \dfrac{4 \times 10}{5} = 8[/tex]

Thus, R = 10 and G = 8.

Thus, the number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.

Learn more about probability here:

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Answer:

Step-by-step explanation:

y=a*b^x

a=$2,000

This is the amount that the homeowner borrowed from the lender

b=This would be represented as 1.04 in decimal form

The reason why it is 1.04 is that the 1 aka 100% counts as 2,000 which is the whole thing as well as 0.04 or 4% percent of the total amount($2000)

x= You would leave this as x because they did not give a value and the equation is written so that it could be used to solve the amount of money owed after 'x' years or a certain number of years

Therefore the equation would be y=2000*(1.04)^x

Answer: 21x^2 + 44x + 15

Step-by-step explanation:

first, i used the distributive property.

5x x (4 + 7x - 1) + 5 (4 + 7x - 1) - 2x x (4 + 7x - 1)

then, i removed the parentheses.

20x + 35x^2 - 5x + 20 + 35x - 5 - 8x - 14x^2 + 2x

then, i collected the like terms.

44x + 21x^2 + 15

finally, i reordered the terms.

21x^2 + 44x + 15

Answer:

Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Step-by-step explanation:

Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.

The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]

The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]

Each pallet weighs = 1500 pounds

2 pallets weighs = 1500×2=3000 pounds.

We know that 2000 pounds = 1 ton

[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Answer:

13/8 of the chocolate will be left altogether.

Step-by-step explanation:

Given that,

Abey and Anoki are eating chocolate bars. The bars are the same size.

Abey left 3/4 of chocolate and Anoki left 7/8 of chocolate.

Left amount = Abey left amount + Anoki left amount

[tex]=\dfrac{3}{4}+\dfrac{7}{8}\\\\=\dfrac{3(2)+7(1)}{8}\\\\=\dfrac{6+7}{8}\\\\=\dfrac{13}{8}[/tex]

Hence, 13/8 of the chocolate will be left altogether.

Answer:

AB, CB, AC

Step-by-step explanation:

All the angles in a triangle added up equal 180 degrees

Start by finding the measure of angle A

A + 86 + 27 = 180

A + 113= 180

A = 67 degrees

Now order them

86 is greater than 67 and 27 so B is the greatest

27 is less than 86 and 67 so C is the smallest

67 is less than 86 but greater than 27 so A is in the middle

Now for the sides..

AB is opposite angle C so it's the shortest

CB is opposite angle A so it's in the middle

AC is opposite angle B so it's the longest

I hope this helps!!!

Answer:

B

Step-by-step explanation:

On a graph you go rise over run (or Y divided by X) which in this equation is 1 divided by 2 which equals 1/2. You also need to look at what number is being crossed on the y axis, which in this case is 1. Slope intercept form is y=mx+b with m being the slope (1/2) and b being the y intercept (1)

Answer:

B. y = 1/2x + 1

Step-by-step explanation:

I went ahead and graphed each of the answer options for you and when I graphed for B it gave me:

9514 1404 393

Answer:

  (a)  In triangles APD and BPC; AD = BC

Step-by-step explanation:

We're not concerned with triangle APB, eliminating the last 2 choices.

We're not concerned with sides AP and BP, as they're not sides of the square, eliminating the second choice.

The choice that makes any sense in the proof is ...

  In triangles APD and BPC; AD = BC

Answer:

1. 4x-4=24

2. 6-x+y=4

Step-by-step explanation:

Answer:

4x(7) - 4= 24

6 - 5 + 3 = 4

Step-by-step explanation:

The new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=5x³-3.

When a function f(x) is reflected over the x-axis, it becomes a new function g(x)= -f(x).

The given function reflected across the x-axis and shifts up 2 units.

Now, g(x)= -(5x³-3)+2

= -5x³+3+2

= -5x³+5

Therefore, the new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

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Answer:

It is positive 3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Any numbers inside the absolute value are always positive, so in this case, 12 is 12, and -15 is 15.  Add these numbers to get 27 as your answer.

Answer: Because if you think about it it would be 4 because of the fact that it is in the middle of 1-8. So there is a higher chance to land on 4 than any other number.

Step-by-step explanation:

The experimental probability of the spinner stopping on the number 4 is 1/25.

Experimental probability is a probability that is determined on the basis of a series of experiments.

A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.

Given that, a spinner with the numbers 1 through 8 is spun 25 times.

we need to find the experimental probability of the spinner stopping on the number 4

So,

Experimental Probability =

P(E) = Number of times an event occurs / Total number of trials.

Number of times an event occurs = 1

Total number of trials = 25

Therefore,

P(E) = 1/25

Hence, the  experimental probability of the spinner stopping on the number 4 is 1/25.

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Answer:

40

Step-by-step explanation:

3 x 8 = 24

5 x 8 = 40

Answer:

a y a r d = a 2 y r d a y a r d = a 2 y r d

Step-by-step explanation:

Answer:

b,c,d,f

Step-by-step explanation:

[tex]perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\[/tex]

Answer:

negative

Step-by-step explanation:

a positive divided by a negative is a negative

Answer: -1

Step-by-step explanation:

Find the Slope

(0, 2) , (1, 1)

Slope is equal to the change in y over the change in x, or rise over run.

     change in y

m =  _________

     change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called r ise).

     y2 − y1

m = _____

     x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

      1 − (2)

m = _____

      1 − (0)

Simplify.

Simplify the numerator.

       −1

m = ____

     1 − (0)  

Simplify the denominator.

      −1

m = ___

        1

Divide −1 by 1.

m = −1

Answer:

c

Step-by-step explanation:

567

becoz it's merits in increment