what do the word enlightened mean​

Answer:

c. (3, -5)

Step-by-step explanation:

{x + 3y = -12

{y = ⅓x - 6

x + 3[⅓x - 6] = -12

x + x - 18 = -12

2x - 18 = -12

+ 18 + 18

____________

2x = 6

__ _

2 2

x = 3 [Plug this back into both equations to get the y-coordinate of -5]; -5 = y

I am joyous to assist you anytime.

Answer:

The answer would be 4.376. the 6 is repeating

Step-by-step explanation:

You would add up the three jumping distances.

4.34ft+4.56+4.23=13.13

Then you would divide them by the total number of numbers there are.

13.13/3= your answer, which is 4.376

4.376 is the mean of the heights when Kevin jumped three high jumps 4.34 feet, 4.56 feet, and 4.23 feet.

Kevin jumped three high jumps of 4.34 feet, 4.56 feet, and 4.23 feet. We need to find the mean of the heights.

The mean is the average or the most common value in a collection of numbers

The formula for mean= Sum of data values/ Total number of data values.

The given three high jumps of kevin are 4.34 feet, 4.56 feet, and 4.23 feet.

We need to find the mean of his three heights.

From the formula of mean,

The three data values are 4.34 feet, 4.56 feet, and 4.23 feet.

Mean=Sum of data values/ Total number of data values.

=(4.34+4.56+4.23)/3

=13.13/3

=4.3766

Therefore mean of Kevins three high jumps 4.34 feet, 4.56 feet, and 4.23 feet is 4.3766.

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Answer:

You can mow 1/2 a lawn with a gallon of gasoline.

Step-by-step explanation:

Start by setting the amounts equal to each other.   .5*.25.

The .5 should become a 1, so multiply it to become the answer of 1. What you do on one side should be repeated on the other side also. So then multiply .25 by 2 to get .5

Answer:

C. 95.7.

Step-by-step explanation:

|95.7| is the absolute value of 95.7  which is 95.7.

Answer:

The answer is 95.7.

Step-by-step explanation:

In order to determine the answer, we have to know about absolute value function. The notation of this function is | | .

The absolute value function convert any sign into positive. For example, the absolute value of -89.8 is 89.8. The function does not change the number value, just change the sign of the number.

In this case, for 95.7:

[tex]|95.7|=95.7[/tex]

Finally, the answer is letter C. [tex]95.7[/tex]

Answer:

x= 9

Step-by-step explanation:

Move the terms -> -1=14x = -12x + 16

Find out the sum -> 2x=17+1

Divide both by the equation by two -> 2x=18 x=9

Final answer: x=9

Answer:

- 16

Step-by-step explanation:

This is very tricky. Be careful how you do it.

The total of the six numbers is 6*41 = 246

The total of five numbers = 5*46 = 230

What have you you removed to make the number average go up with a smaller sample? The answer is a negative.

230 - 246 = - 16

Answer:

1.84 x10 to the power of 3

Step-by-step explanation:

there is 3 numbers to the right of the decimal making it to the power of three

keep all important numbers, removing the 0 and keeping everything else

i have done maths to this extent in a few months so i would double check

Answer:

1.84 x10 to the power of 3

Step-by-step explanation:

Answer:

x = 11, x = -11

Step-by-step explanation:

I know this is kind of late but the two previous answers were wrong.

We have x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might think that x = 11 but remember, x can be negative as well because you can square negative numbers. Basically, every real number has two square roots - a positive and a negative one. So, the answer isn't just x = 11, it's also x = -11 because (-11)² = 121 as well.

Answer:

x=11

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

The total of all the post cards from the 8 cities is 112 so 112 divide by 4 (because only 4 can fit in a single page) =28

it is c:41 just to verify

Answer:

48 video games

Step-by-step explanation:

Nile has 12 video games, and we know Alex has 4 times the amount. When doing "times" we multiply.

12*4 = 48 video games

Answer:

Alex has 36 more video games than Nile.

Step-by-step explanation:

Answer:

A=22

Step-by-step explanation:

Look at picture in link provided

The value of a is 22 in the equation  1/2a = 11.

The given equation is 1/2a=11.

One by two times of a is equal to eleven.

We have to find the value of a where a is the variable.

1/2a=11

Apply cross multiplication:

a=11×2

When eleven is multiplied with 2, we get 22.

a=22

Hence, the value of a is 22.

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10(1 + 3b) = -20

Isolate b.

Apply the distributive property: a(b + c) = ab + ac.

10(1 + 3b) = -20

10 + 30b = -20

Subtract 10 from both sides.

10 + 30b - 10 = -20 - 10

30b = -30

Divide both sides by the coefficient, 30.

b = -1

-1

Answer:

an inequality is basically two numbers compared between which is larger, smaller or equal.

Step-by-step explanation:

Answer:

Unfortunately, I can't see the picture. Can you please submit the picture once more?

The radius of circle is shown by the red segment.

The radius of a circle is the distance between the circle's centre and any point on its circumference. It is commonly represented by the letters 'R' or 'r'. This number is significant in practically all circle-related formulae. A circle's area and circumference are also measured in terms of radius.

The radius is the distance from the circle's centre to its perimeter. The diameter is always twice as large as the radius.

The point in the center is called as Center of Circle.

Now, the axis of symmetry pass through the center.

Here the red segment which starts from center and touches the boundary of circle is called as the radius of circle.

Thus, the red segment is radius.

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Answer:

22F

Step-by-step explanation:

Absolute value of -8 is 8. Therefor, that'll put you at 0. Then from 0 you want to get to 14, so you'll take the 14 and add 8 to it which will leave you with 22.

Final answer:

Using similar triangles, the basketball hoop which is 10 ft high will cast a 5 ft long shadow.

Explanation:

To find out how much of a shadow the basketball hoop will cast, we can use the concept of similar triangles. Amanda, who is 5.5 ft tall, casts a shadow that is 2.75 ft long.

The basketball hoop is 10 ft high.

To find the length of the shadow cast by the hoop, we set up a proportion based on the heights and shadow lengths:

Height of Amanda / Shadow of Amanda = Height of Basketball Hoop / Shadow of Basketball Hoo

5.5 ft / 2.75 ft = 10 ft / X ft

Cross-multiply to solve for X (the shadow of the basketball hoop):

5.5 * X = 10 * 2.75

X = (10 * 2.75) / 5.5

X = 27.5 / 5.5

X = 5 ft

So, the basketball hoop will cast a shadow that is 5 ft long.

Answer:

She will be able to make 8 wreaths

Step-by-step explanation:

I got my answer by first converting 3 1/4 into 13/4. I then divide 28 by 13/4 which was multiplying 28 by 4/13.

I got 112 when I did 28 × 4

I then divided 112 by 13

and got 8.615.

Since they are asking for how much wreaths she could make, it is going to be 8

Answer:

a.

[tex] \sqrt{ {5}^{4} } = {5}^{2} \\ \sqrt{ {7}^{2} } = 7 \\ {5}^{2} \times 7[/tex]

b.

[tex] \sqrt{ {2}^{6} } = {2}^{3} \\ \sqrt{ {11}^{10} } = {11}^{5 } \\ {2}^{3} \times {11}^{5} [/tex]

Answer:

7.8125

Step-by-step explanation:

6.25 x 1.25

The marked-up price is $7.81 if the amount is $6.25 and the rate in percentage is 25%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

The amount = $6.25

The rate in percentage = 25%

The marked-up price = 6.25 + 25% of 6.25

The marked-up price = 6.25 + (25/100)6.25

The marked-up price = 6.25 + (0.25)6.25

The marked-up price = 6.25 + 1.56

The marked-up price = $7.81

Thus, the marked-up price is $7.81 if the amount is $6.25 and the rate in percentage is 25%.

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Answer:

A little over 31hours

Step-by-step explanation:

Use simple proportion

58miles = 1hr

1805miles = ?

(1805x1)/58 = 31.12hrs

Since the question asks you for an estimation, it should be fine to say a little over 31hours but do show full working and the accurate answer

Answer:The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 12,500 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 12,500

New Number: 1.2500

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 2 5 0 0

Decimal Count: 1 2 3 4

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 1.25 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

1.25 x 104

Step 4

Check your work:

104 = 10,000 x 1.25 = 12,500

Step-by-step explanation:

Answer:

The solution for y is y = 2x + 1

Step-by-step explanation:

* Lets explain how to solve an equation for one of the variables

- We need to solve the equation 16x + 9 = 9y - 2 x for y

- That means we want to find y in terms of x and the numerical term

- the equation has two sides, one side contains x and numerical term

 and the other side contains y and x

- We need to separate y in one side, and other term in the other side

* Lets do that

∵ 16x + 9 = 9y - 2x

- Add 2x to both sides to cancel -2x from the right side

∴ 16x + 2x + 9 = 9y - 2x + 2x

- Add like terms in each side

∴ 18x + 9 = 9y

- Divide each term by the coefficient of y ⇒ (÷9)

∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y

∴ 2x + 1 = y

- Switch the two sides

∴ y = 2x + 1

* The solution for y is y = 2x + 1

Answer:

Its the same area as the original shape.

Step-by-step

If you descompose a original area into smaller pieces. The mathematical process of cutting areas won’t add or substract area. Even of you cut the original area to infinitesimal size pieces, the infinite number of pieces will sum up the same area as original area.

When a rectangle is decomposed along the diagonal and repositioned, the resulting shape is a parallelogram with the same area as the original rectangle.

To decompose the rectangle along the diagonal, we can cut it in half from one corner to the opposite corner. This creates two right triangles. We can then reposition the triangles to create a parallelogram. The area of the parallelogram is the same as the area of the original rectangle.

This can be shown using the formula for the area of a triangle, which is 1/2 times the base multiplied by the height. Since the base and height of each triangle are equal to the length and width of the rectangle, the area of each triangle is (1/2) * length * width.

When we rearrange the triangles to form a parallelogram, the base is equal to the length of the rectangle and the height is equal to the width of the rectangle. Thus, the area of the parallelogram is length * width, which is the same as the area of the original rectangle.

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The answer of this question is 1.

Closest value of the given fraction [tex]\frac{28}{31}[/tex] is equal to [tex]1[/tex].

"Fraction is defined as the part of a whole quantity."

According to the question,

Given fraction,

[tex]\frac{28}{31}[/tex]

Simplify the given fraction we get,

[tex]\frac{28}{31} = 0.903...[/tex]

   ≈ [tex]1[/tex] (closest value to [tex]0.903..)[/tex]

Hence, the closest value of the given fraction [tex]\frac{28}{31}[/tex] is equal to [tex]1[/tex].

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Answer:

the solution is 4.5

Step-by-step explanation:

The ratio 1:5 can be equivalent to the ratio 4:20. To see this, you can multiply both parts of the ratio 1:5 by 4, which gives you 4:20.

The ratio 1:5 can be equivalent to the ratio 4:20. To determine this, you need to find a common factor that you can use to scale up the ratio 1:5 to an equivalent ratio.

In this case, multiplying both parts of the ratio 1:5 by 4 gives you 4:20, which is equivalent.

So, the answer is 4:20.

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Answer:

-45

Step-by-step explanation:

A loss of 45 yards means losing and it would be negative. Example if you ate 5 cookies is it negative or positive, which is negative cause your taking it away.

A loss of 45 yards in Mathematics is represented as -45. Negative integers are used to signify losses or decrease.

In Mathematics, when we're talking about a loss or decrease, we often refer to negative integers. In this case, a loss of 45 yards would be represented by the integer -45. Whenever you lose something or move in the reverse direction, negative integers are used to represent such situations. Thus, the integer describing a loss of 45 yards is -45.

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100% - 70% = 30%

30% of what = £33.60?

Let p = original price

0.30p = 33.60

p = 33.60 ÷ 0.30

p = £112

The statement [tex]1\frac{2}{5}[/tex] - 3/4 = 1/4 + 2/5 is true.

Let's start by converting the mixed numbers into improper fractions:

[tex]1\frac{2}{5}[/tex] = (5 × 1 + 2) / 5 = 7/5

3/4 remains the same.

1/4 + 2/5 = 5/20 + 8/20 = 13/20

To proceed with the calculations, we need to find a common denominator for 5 and 4, which is 20.

Multiplying the numerator and denominator of 7/5 by 4, we get:

(7 × 4) / (5 × 4) = 28/20

Multiplying the numerator and denominator of 3/4 by 5, we get:

(3×5) / (4×5) = 15/20

Therefore, the equation becomes:

28/20 - 15/20 = 13/20

Simplifying the left side:

(28 - 15) / 20 = 13/20

So, 7/5 - 3/4 does indeed equal 1/4 + 2/5, both of which simplify to 13/20.

Hence, the statement [tex]1\frac{2}{5}[/tex] - 3/4 = 1/4 + 2/5 is true.

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Final answer:

After converting all fractions to have a common denominator of 20, it was determined that 1 2/5 - 3/4 is indeed equal to 1/4 + 2/5, as both expressions simplify to 13/20.

Explanation:

To verify if 1 2/5 - 3/4 is equal to 1/4 + 2/5, we will calculate both expressions step by step:

Firstly, to subtract fractions, they must have a common denominator:

1 2/5 can be written as 7/5 since 1 + 2/5 is the same as 5/5 + 2/5.

Now, to make 3/4 have the same denominator as 7/5, multiply both numerator and denominator by 5:

3/4 * 5/5 = 15/20

Next, convert 7/5 to twentieths by multiplying by 4/4:

7/5 * 4/4 = 28/20

We can now subtract the two fractions:

28/20 - 15/20 = 13/20

Now let's calculate 1/4 + 2/5.

To add these two fractions, find a common denominator.

Our common denominator will be 20, as before. Multiply the numerators and denominators as needed:

1/4 * 5/5 = 5/20

2/5 * 4/4 = 8/20

The sum of these two fractions is:

5/20 + 8/20 = 13/20

Through these steps, we have shown that 1 2/5 - 3/4 is indeed equal to 1/4 + 2/5, as they both simplify to 13/20.