What percent of 300 is 2 1/2

Enter your percent as a fraction in simplest form by filling in the boxes

Answer:

Step-by-step explanation:

Answer:

{y,x}={6,3}

Explanation

System of Linear Equations entered :

 [1]           y=2x

 [2]           5x-y=9

Equations Simplified or Rearranged :

  [1]    y - 2x = 0

  [2]    -y + 5x = 9

Graphic Representation of the Equations :

   -2x + y = 0        5x - y = 9  

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = 2x

// Plug this in for variable  y  in equation [2]

  [2]    -(2x) + 5x = 9

  [2]    3x = 9

// Solve equation [2] for the variable  x

  [2]    3x = 9

  [2]    x = 3

// By now we know this much :

   y = 2x

   x = 3

// Use the  x  value to solve for  y

   y = 2(3) = 6

Solution :

{y,x} = {6,3}

The difference between the sum of the last 10 numbers and the sum of the first 10 numbers will be 200.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

Sₙ = (n / 2)[a₁ + L]

The 20 consecutive even numbers are given below.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

The sum of the first 10 numbers will be given as,

⇒ (10 / 2)[2 + 20]

⇒ 5 x 22

⇒ 110

The sum of the last 10 numbers will be given as,

⇒ (10 / 2)[22 + 40]

⇒ 5 x 62

⇒ 310

Then the difference between the numbers is given as,

⇒ 310 - 110

⇒ 200

The difference between the sum of the last 10 numbers and the sum of the first 10 numbers will be 200.

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Answer:

2

Step-by-step explanation:

Box in your 3m. Subtract 5 from both sides. You get 6. Now, divide 6 by 3 which is boxxed and you get 2.

Answer:

B and A should be the answer I believe because 3m+5=11 which would be 11-5 because you have to change 5 from a positive and that would equal 6 and 6 divide by 3 is 2.

Answer:

(3.9, - 9.3 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

Z (- 3.9, - 9.3 ) → Z' (3.9, - 9.3 )

The coordinates of the point after reflection across y-axis is Z' ( 3.9 , -9.3 )

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the coordinates of the point be represented as Z ( -3.9 , -9.3 )

Now , let the coordinates of the reflected point be Z'

where the axis of reflection is y-axis

So , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Therefore , Z' = Z' ( 3.9 , -9.3 )

Hence , the reflected point is Z' ( 3.9 , -9.3 )

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Answer:

1 1/3

Step-by-step explanation:

3/3 = 1 Whole

Therefore 4/3 = 1 1/3

Answer: For 4/3, the denominator is 3. Improper fraction. This is a fraction where the numerator is greater than the denominator. Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction.

Step-by-step explanation:

Before we begin, let's revisit some basic fraction terms so you understand exactly what we're dealing with here:

Numerator. This is the number above the fraction line. For 4/3, the numerator is 4.

Denominator. This is the number below the fraction line. For 4/3, the denominator is 3.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 4/3 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

4/3= 1.3333333333333 = 1

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (3). The result of that multiplication is then subtracted from the original numerator:

4 - (3 x 1) = 1

Step 3: Our mixed fraction

We've now simplified 4/3 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

1

1

3

Step 4: Simplifying our fraction

In this case, our fraction (1/3) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 3 is 1.

We can now divide both the new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.

1/1 = 1

3/1 = 3

When we put that together, we can see that our complete answer is:

1

1

3

Hopefully this tutorial has helped you to understand how to convert any improper fraction you have into a mixed fraction, complete with a whole number and a proper fraction. You're free to use our calculator below to work out more, but do try and learn how to do it yourself. It's more fun than it seems, I promise!

Answer:

It is a function.

Step-by-step explanation:

You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.

This is the table for the graph.

[tex]\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right][/tex]

Remember these rules:

We can check these two rules for this graph:

Keep in mind that two different x-values can have the same y value.

Figure 1:

It has two x values with the same y-values.

Figure 2 and 3:

The vertical line goes through two points. So the same x-value has two different y-values.

-Chetan K

Answer:

a> -21 1/3

Step-by-step explanation:

I hope it helped

Answer:

y= -2x -3

Step-by-step explanation:

Plug in the values for m and b in y=mx+b

Answer:

Approx. 6 b/m

Step-by-step explanation:

Find out How many minutes in a year which is 525600 then divide that by 3,000,000 which makes 5.7077 so rounded is 6.

Answer:

5.7/min

Step-by-step explanation:

Divide 3 million by 365 to represent 1 day:

3,000,000 / 365 = approximately 8,219.

Divide 8,219 by 24 to represent 1 hour:

8,219 / 24 = approximately 342.

Divide 342 by 60 to represent one minute:

342 / 60 = 5.7.

The birth rate in United States is approximately 5.7/min

Answer:

0 tell me if i am right please

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

(x1,y1)=(-10, -8)

(x2,y2)=(-8, -16)

Slope=(y2-y1)/(x2-x1)=(-16+8)/(-8+10)=-8/2=-4

or,

If you take (x1,y1)=(-8, -16), (x2,y2)=(-10, -8)

Slope=(y2-y1)/(x2-x1)=(-8+16)/(-10+8)=8/-2=-4

Answer:

  y = 0.1(4^x)

Step-by-step explanation:

An exponential function can be written as ...

  y = a(b^x)

where 'a' is the y-intercept, and 'b' is the ratio of terms with consecutive x-values.

The table tells us a=0.1, and b=0.4/0.1 = 4. The equation is ...

  y = 0.1(4^x)

Answer:

Because you are using x which equals to -6.

Answer:

53°

Step-by-step explanation:

Because a triangle is equal to 180°, we subtract the 84° and 43° from the  180° and get the measure of the third angle: 53°

Answer:

u need to provide graph

Step-by-step explanation:

we cant solve it

Answer:

2/3

Step-by-step explanation:

In division with fractions, we use the keep change flip method.

Step 1:

Keep 1/12

Step 2:

Change the ÷ to a ×

Step 3:

Multiply 1/12 by 8

[tex]\frac{1}{12} *8=2/3[/tex]

The right triangles that have an altitude which forms two right triangles

are similar to the two right triangles formed.

Responses:

1. ΔLJK ~ ΔKJM

ΔLJK ~ ΔLKM

ΔKJM ~ ΔLKM

2. ΔYWZ ~ ΔZWX

ΔYWZ ~ ΔYZW

ΔZWX ~ ΔYZW

3. x = 4.8

4. x ≈ 14.48

5. x ≈ 11.37

6. G.M. = 12·√3

7. G.M. = 6·√5

1. ∠LMK = 90° given

∠JMK + ∠LMK  = 180° linear pair angles

∠JMK = 180° - 90° = 90°

∠JKL ≅ ∠JMK All 90° angles are congruent

∠LJK ≅ ∠LJK reflexive property

∠JLK ≅ ∠JLK by reflexive property

By the property of equality for triangles that have equal interior angles, we have;

2. ∠YWZ ≅ ∠YWZ by reflexive property

∠WXZ ≅ ∠YZW all 90° angle are congruent

∠XYZ ≅ ∠WYZ by reflexive property

∠YXZ ≅ ∠YZW all 90° are congruent

Therefore;

3. The ratio of corresponding sides in similar triangles are equal

From the similar triangles, we have;

[tex]\dfrac{8}{10} = \mathbf{ \dfrac{x}{6}}[/tex]

8 × 6 = 10 × x

48 = 10·x

3. From the similar triangles, we have;

[tex]\mathbf{\dfrac{20}{29}} = \dfrac{x}{21}[/tex]

20 × 21 = x × 29

420 = 29·x

4. From the similar triangles, we have;

[tex]\mathbf{\dfrac{20}{52}} = \dfrac{x}{48}[/tex]

20 × 48 = 52 × x

5. From the similar triangles, we have;

[tex]\mathbf{\dfrac{13.2}{26}} = \dfrac{x}{22.4}[/tex]

13.2 × 22.4 = 26 × x

6. The geometric mean, G.M. is given by the formula;

[tex]G.M. = \mathbf{\sqrt[n]{x_1 \times x_2 \times x_3 ... x_n}}[/tex]

The geometric mean of 16 and 27 is therefore;

7. The geometric mean of 5 and 36 is found as follows;

[tex]G.M. = \sqrt[2]{5 \times 36} = \sqrt[2]{180} = \sqrt[2]{36 \times 5} = \mathbf{ 6 \cdot \sqrt{5}}[/tex]

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Answer:

-1.44285714286

Step-by-step explanation:

Answer:

7 ft

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 105 ft²

and we know

length = width + 8

that identity we can use in the area equation and get

(width + 8) × width = 105

width² + 8width = 105

width² + 8width - 105 = 0

and that is how your teacher got the equation

w² + 8w - 105 = 0

the general solution for such a quadratic equation is

w = (-b ± sqrt(b² - 4ac))/(2a)

with our equation

a = 1

b = 8

c = -105

w = (-8 ± sqrt(8² - 4×1×-105))/(2×1) =

= (-8 ± sqrt(64 + 420))/2 = (-8 ± sqrt(484))/2 =

= (-8 ± 22)/2 = -4 ± 11

w1 = -4 + 11 = 7

w2 = -4 - 11 = -15

negative values/ solutions for side lengths of shapes don't make sense, so the only valid solution is w = 7 ft

The width of the rectangular patio in feet is equal to -15 or 7 feet.

Given the following data:

Mathematically, the area of a rectangle is given by the formula;

[tex]A=LW[/tex]

Substituting the given parameters into the formula, we have;

[tex]W^2 +8W-105=0\\\\W^2 +15W-7W-105=0\\\\W(W+15)-7(W+15)=0\\\\(W+15)(W-7)=0[/tex]

Width, W = -15 or 7 feet.

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The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

Inequality is the non equal comparison of two or more numbers and variables.

Let x represent the number of wallpapers and y represent the number of cans.

He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:

x ≥ 30   (1);

y ≥ 20    (2)

Also:

32x + 28y ≤ 2240    (3)

Plotting the 3 equations using geogebra online graphing tool, the possible solution is:

(30, 20), (30, 46)

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

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Answer:

The correct answer is "(B) -$700,000; $0; $0".

Step-by-step explanation:

The tax caused a change in the consumer surplus of $-700000, a change in the producer surplus of $0, and a deadweight loss of $0.

The change in consumer surplus is due to the $ 10 increase lost by consumers (10 x 70000 = 70000).

The rest does not vary because management decided to raise the price of the product, instead of bearing the tax.

Answer:

The top left one.

Step-by-step explanation:

It would be the top left one since the graph starts at the 10 mark and 10 is the y intercept.

Answer:

A) How many total miles Cathy drives to work after 5 days.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The original price was 43 dollars

The new price is 55/100 * 43

The new price is 2365/100

The new price is 23.65 dollars

2365 came from multiplying 43 * 55 which is 2365

Answer:

Sister’s recipe needs 24 Eggs to make 20 pancakes for your family.

Answer:

  m∠V ≈ 61°

Step-by-step explanation:

The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(V) = XW/XV = 7/8

The inverse sine function is used to find the angle:

  V = arcsin(7/8) ≈ 61°