Solve the following system of equations graphically on the set of axes below. y=2x−5.
3x+4y=24

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:

it is c:41 just to verify

Remember that in fractions the small fractions are greater then big fractions and also remember that this rule doesn't apply with negative fractions and it's the opposite.

[tex]\frac{3}{4} -\frac{7}{10} -\frac{3}{4} \frac{8}{10}[/tex]

[tex]\frac{3}{4} >\frac{8}{10}[/tex]

[tex]\frac{8}{10} >-\frac{7}{10}[/tex]

[tex]-\frac{7}{10} >-\frac{3}{4}[/tex]

[tex]= \frac{3}{4} ,\frac{8}{10} ,-\frac{7}{10}, -\frac{3}{4}[/tex]

Therefore your answers are "3/4, 8/10, -7/10, and -3/4."

Hope this helps.

Answer:

see the explanation

Step-by-step explanation:

The question is

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

[tex]0\ kWh \leq x < 400\ kWh[/tex]

The price is equal to

[tex]y=\$30[/tex]

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh  and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

[tex]x\geq 400\ kWh[/tex]

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

[tex]y=0.097x[/tex]

Find the range

For x=400 kWh

[tex]y=0.097(400)=\$38.8[/tex]

so

[tex]y\geq \$38.8[/tex]

The range is the interval -----> [38.8, infinite)

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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Answer:

8052600

Step-by-step explanation:

According to the Order of Operations, in this case, you deal with all multiplication before adding everything up.

I am joyous to assist you anytime.

the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.

To express the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form, we can simplify the multiplication and then sum up the products.

8 x 1,000,000 = 8,000,000

5 x 10,000 = 50,000

2 x 1,000 = 2,000

6 x 100 = 600

Adding these values together:

8,000,000 + 50,000 + 2,000 + 600 = 8,052,600

Therefore, the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.

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Answer:

B. 4m

Step-by-step explanation:

What you do is you just take the 8 and put it into the m.

m-8, 8-8=0 so A isn't your answer.

4m, 4(8)=32 so B is your answer.

B. 4m is your answer.

The expression 4m will give 32 at m=8 the correct option is B.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be calculated as:-

A. m - 8 = 8 - 8 = 0

B. 4m = 4 x 8 = 32

C. m / 2 = 8 / 2 = 4

D. m + 8 = 8 + 8 = 16

Therefore, the expression 4m will give 32 at m=8 the correct option is B.

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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

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:

I would say 3, since you would need to move the decimal point up 3 times to get .0264

Answer:

X= -5

Step-by-step explanation:

Hope I helped! :)

Sorry about the whole dang essay lol

Answer:

x= -5

Step-by-step explanation:

1. subtract 3 from both sides. You should have 2x = -10

2. divide both sides by 2. You should end up with x = -5

Answer:

1st, 2nd, and last.

Step-by-step explanation:

For the first two common rules can be applied such as [tex]n\sqrt{a/b}[/tex] = [tex]\frac{\sqrt[n]{a} }{\sqrt[n]{b} }[/tex] and that [tex]\sqrt[n]{\frac{a}{b} } = (\frac{a}{b})^{n}[/tex]

and for the last one this is just simplifying the radical and if you factor it you realize that, [tex]\frac{750}{512} = \frac{5^3}{8^3}*6[/tex] meaning that you can take the radical off of 5/8 and end up with that final answer

Answer:(A), (B) and (E)

Step-by-step explanation:

I got a 100% on my test

Answer:

The solution is

13

12

π.

Step-by-step explanation:

Arc Length=

m(ARC)

360

· 2πr

Answer:

40

Step-by-step explanation:

11 plus 4 divided by 3 times square root of 64 equals to 40

Answer:

40

Step-by-step explanation:

11+4=15÷3=t

5x8==40

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:

7

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

Answer: 0

Step-by-step explanation:

12 + 5 = 17

17 - 17 = 0

Hope this helps!

Answer:

0

Step-by-step explanation:

1. you want to add 12 +5 because "product" is the name of the answer to an addition problem

2. you'll get 17

3. subtract 17 from 17

4. you'll get 0

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:

Your input: factor 4x2+18x−10.

Factor the common term:

(4x2+18x−10)=(2(2x2+9x−5))

To factor the quadratic function 2x2+9x−5, we should solve the corresponding quadratic equation 2x2+9x−5=0.

Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).

Solve the quadratic equation 2x2+9x−5=0.

The roots are x1=12, x2=−5 Therefore, 2x2+9x−5=2(x−12)(x+5).

2(2x2+9x−5)=2(2(x−12)(x+5))

Simplify: 4(x−12)(x+5)=2(x+5)(2x−1).

Thus, 4x2+18x−10=2(x+5)(2x−1).

Answer: 4x2+18x−10=2(x+5)(2x−1).

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:

x= -4

Step-by-step explanation:

Combine alike terms:

-7x-3=25

Add a 3 to both sides:

-7x=28

Divide by -7 on both sides:

x= -4

Answer:

3 <= x <= 8

Step-by-step explanation:

A number is denoted as an arbitrary variable, let's call it x.

We have a double inequality:

1. No more than 8 means less than or equal to 8

2. No less than 3 means greater than or equal to 3

3 <= x <= 8

Answer:

Step-by-step explanation:

Let n - number

Nine less than a number: n - 9

is no more than 8: ≤ 8

and no less than 3: ≥ 3.

We have the inequality:

[tex]3\leq n-9\leq8\qquad\text{add 9 to all sides}\\\\3+9\leq n-9+9\leq8+9\\\\12\leq n\leq17[/tex]

Answer:

there 18 glue sticks left

Step-by-step explanation:

4 times 5= 20-2 it says that she uses 2 glue sticks and to start she had 20 so 20-4 =18

Answer:

18

Step-by-step explanation:

I did it and got it correct

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

Final answer:

The solution for x cannot be provided as the actual equation is missing from the question. Therefore, we are unable to solve for x or determine which of the given options is correct.

Explanation:

The solution for x in the equation cannot be determined from the information provided. The equation itself is missing from the question, so we cannot assess what the correct answer might be from the options A.3, B. -3, C. -1/3, and D. 1/3. Solving for x in any given equation generally involves isolating x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, division, and sometimes applying the quadratic formula if the equation is a quadratic one (ax² + bx + c = 0).

For example, if the equation were as simple as x + 2 = 5, we would solve it by subtracting 2 from both sides to isolate x, finding that x = 3. However, without the specific equation, we cannot proceed with finding a solution for x.

The correct answer is: D. [tex]\(x = -3\)[/tex]

To find the solution for x in the given equation, let's combine like terms and solve for x:

[tex]\[16x - 4 + 5x = -67\][/tex]

Combine the x terms:

[tex]\[21x - 4 = -67\][/tex]

Add 4 to both sides:

[tex]\[21x = -63\][/tex]

Divide by 21 to solve for x:

[tex]\[x = -3\][/tex]

Complete Question:

Select the correct answer. What is the solution for x in the equation?

16x-4+5x=-67

A. x = 1/3

B. x = -1/3

C. x = 3

D. x = -3

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:

i think 18 or twenty not sure tho

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

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.