d/4-9=-3
Type only the number for "d".

Since twelve apples cost $4, this means that each apple cost:

Therefore, 6 apples cost (6) by (.333333), this means 2 dollars.

Step-by-step explanation:

since we need to multiply only one equation with something, elimination might be a good method here. we bring both equations to 4x terms and then subtract the second from the first equation :

4x + 2y = 6

- 4x - 12y = 20

-----------------------

0 14y = -14

y = -1

=> e.g. in the second original equation

x - 3×-1 = 5

x + 3 = 5

x = 2

Answer:

1,000,000

Step-by-step explanation: I just know

Answer:

6a. 0.02623

b. 0.5692

Thank you :)

According to the solving time will they take together to wax the same car 16 minutes

The minute is a unit of time usually equal to 160 (the first sexagesimal fraction) of an hour, or 60 seconds.

Let's assume that Andrea takes x minutes to wax the car. Then Mathew takes x/2 minutes to wax the same car since he waxes twice as fast as Andrea.

We know that Andrea takes 24 minutes to wax the car. So we can substitute this value in the equation and solve for x.

x = 24 * 2 = 48

So Andrea takes 48 minutes to wax the car alone.

Now we can use the formula:

1/x + 1/(x/2) = 1/t

where t is the time taken by both of them together to wax the same car.

Substituting x = 48, we get:

1/48 + 1/24 = 1/t

Solving for t, we get:

t = 16minutes

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Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

Answer:

2 apples and 4 bananas

Step-by-step explanation:

Given info:

Question given:

Determine the number of apples, x, and the number of bananas, y, that Juan bought.

Solution:

Since, we know that;

apples = x

bananas = y

Cost of each apple = $1 & Cost of each banana = $ 0.50

Total = 6

The equation that represents the following information:

x + y = 6

x + 0.5y = 4

We can multiply the top equation by -1 so it becomes -x -y = 6

-x - y = 6

x + 0.5y = 4

Now, we can use elimination to cancel out the x.

-0.5y = -2

y = 4

Because y=4, x must be 2 since x+y=6. So,

x = 2 and y = 4

Which means;

Juan bought 2 apples and 4 bananas.

~kavinsky

Answer:

14

sorry if i need any.

Step-by-step explanation:

9-8=1 + 13 = 14

Answer:

144in square

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

DE+EF=DF

(x-1)+(3x+3)=(5x-2)

x-1+3x+3=5x-2

4x+2=5x-2

-x=-4

x=4

Answer:

the solution is d

Step-by-step explanation:

Answer:

a

   \(Y  = \$ 30000\)

b

  \(Y  = \$ 11250 \)

c

  \(X  = \$  36250  \)

Step-by-step explanation:

From the question we are told that

   The annual taxable income is \(A = \$ 300,000\)

   The tax rate for next year is  \(r =  0.25\)

   The  present tax rate is  \(R =  0.35\)

Generally the present amount of tax collected from Ms Benoit is  

         \(K =  A   * R\)

        \(K =  300000  * 0.35 \)

=>       \(K =   \$105000 \)

Generally the  amount of tax collected from Ms Benoit nest year  is

          \(B =  A   * r\)

        \(B =  300000  * 0.25 \)

=>       \(B =   \$75000  \)        

The  reduction in the tax amount is mathematically represented as

       \(Y  =  K  - B\)

=>     \(Y  =  105000  - 75000\)

=>    \(Y  = \$ 30000\)

Generally the tax amount of next year when the income is  $375,000 is mathematically represented as

    \(M  =  375 000   *   r\)

=>    \(M  =  375 000   *   0.25\)

=>     \(M  =  \$ 93 750 \)

The  reduction in the tax amount is mathematically represented as when  the income for next year  is  $375,000

             \(Z  =  K  - M\)

=>     \(Z  =  105000  -93 750 \)

=>    \(Z  = \$ 11250 \)

Generally the tax amount of next year when the income is  $275,000 is mathematically represented as

    \(U  =  275,000   *   r\)

=>    \(U  =  275 000*   0.25\)

=>     \(M  =  \$ 68 750  \)

The  reduction in the tax amount is mathematically represented as when  the income for next year  is  $275,000

             \(X  =  K  - M\)

=>     \(X  =  105000  -68 750 \)

=>    \(X  = \$  36250  \)

Answer:

452.39

Step-by-step explanation:

6^2pie * 4 = 452.39

Side of the square

Area

Area of 4circles

Area of shaded region

Answer:

\(x=-6, \: x=3\)

Step-by-step explanation:

\(f(x)=x^2+3x-18\\\\0=x^2+3x-18\\\\0=(x+6)(x-3)\)

\(x+6=0\\\\x=-6\)

\(x-3=0\\\\x=3\)

Remember to separate the factors into 2 equations to get each individual root/solution by the Zero Product Property!

the slope can be calculated

P1=(-2,5)=(x1,y1)

P2=(4,-4)=(x2,y2)

the formula of the slope

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer: x3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The left piece has a slope of 1 and a y-intercept of 3. Its equation is ...

  f(x) = x +3, if -3 ≤ x < -1

The right piece is a horizontal line at y = 5. Its equation is ...

  f(x) = 5, if -1 ≤ x ≤ 1

Then the piecewise function is ...

  \(f(x)=\left\{\begin{array}{ll}\boxed{x+3}&\text{if $-3\le x<1$}\\\\\boxed{5}&\text{if $-1\le x\le 1$}\end{array}\right.\)

Answer:

B

Step-by-step explanation:

the converse of alternate interior angles theorem states that if two lines are intersected by a transversal forming congruent alternate interior angles then the lines are parallel.

Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

Answer:

Step-by-step explanation (to solve the equation):

I hope this helps!

Answer:

3y = -42

y = -14

Step-by-step explanation:

Setting up the equation is the first step for this.

To start, "times a number" is multiplication. And since the sentence  said "3 times a number y" you can write out 3 x y OR 3y.

Finally, "is -42" is the word form of saying "= -42"

That will give you the equation of 3y = -42

Solving 3y = -42:

Step 1: Divide both sides of the equation by 3

3y/3 = - 42/3

Since any expression divided by itself equals 1, we can turn 3y/3 into just y. This will make our final equation y = -42/3

Step 2: Solve for -42/3, which will get you your answer of y = -14.

Hope I can help!

Answer:

no answer your gay

Step-by-step explanation:

Answer:

\(m = -\frac{2}{3}\)

Step-by-step explanation:

Given

\(P_1 = (-1,3)\)

\(P_2 = (5,-1)\)

Required

Determine and interpret slope

Slope is calculated using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where

\((x_1,y_1) = (-1,3)\)

\((x_2,y_2) = (5,-1)\)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\) becomes

\(m = \frac{-1 - 3}{5 - (-1)}\)

\(m = \frac{-1 - 3}{5 +1}\)

\(m = \frac{-4}{6}\)

\(m = -\frac{2}{3}\)

The above slope is negative and it implies that x increases when y decreases and vice versa.

Answer:

−16y+6

Step-by-step explanation:

2(3−8y)

=(2)(3+−8y)

=(2)(3)+(2)(−8y)

=6−16y

=−16y+6

Answer:

6-16y

Step-by-step explanation:

2(3-8y)

distibute 6-16y

Answer:

\( x = \frac{\sqrt{6}}{2} \)

Step-by-step explanation:

Reference angle = 45°

Opposite side = x

Hypotenuse = √3

Use the following trigonometric ratios formula to find x:

\( sin(\theta) = \frac{opp}{hyp} \)

Plug in the values

\( sin(45) = \frac{x}{\sqrt{3}} \)

Multiply both sides by √3

\( \sqrt{3}*sin(45) = x \)

\( \sqrt{3}*\frac{\sqrt{2}}{2} = x \)

\( \frac{\sqrt{3*2}}{2} = x \)

\( \frac{\sqrt{6}}{2} = x \)

Answer:

47 pounds i think \/'_'\/

Step-by-step explanation:

ANSWER

51 ft²

EXPLANATION

To find the area of the shaded region, we have to find the area of the entire rectangle and then, subtract the area of the right triangle that was removed.

The dimensions of the rectangle are 6 ft and 9 ft, so its area is,

The base and height of the removed triangle are 2 ft and 3 ft long, so the area is,

So, the area of the shaded region is,

Hence, the area of the shaded region is 51 ft².

Answer:

Step-by-step explanation:

In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,

\(m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2\) So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)

y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):

y - (-7) = 2(x - 4) and simplified:

y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B

Step-by-step explanation:

1.

Plane with two axes as a frame of reference. - Coordinate plane

2.

The vertical number line in a coordinate plane - Y-axis

3.

The horizontal number line in a coordinate plane - X-axis

4.

A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate. - Ordered Pairs

5.

Where the x and y axis meet. The point (0, 0). - Origin

6.

One of the four regions into which the x and y axis separate the coordinate plane.- Quadrant

7.

An equation with two variables that makes up a straight line on a coordinate plane. - Linear Equation

8.

The vertical change in a line from one point (x1,y1) to a second point (x2, y2). - Rise

9.

The horizontal change in a line from one point (x1,y1) to a second point (x2,y2). - run

10.

The ratio of a line's rise over its run. - Slope

11.

The point where a graph crosses the x axis. - X Intercept

12.

The point where a graph crosses the y axis. - Y Intercept

13.

A linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. - Slope-intercept form

14.

Lines that have the same slope and never intersect. - Parallel Lines

15.

Two lines that intersect at a 90° angle. Slopes of these lines are opposite reciprocals. - Perpendicular Lines

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The surface area of the pyramid is 74.25 square meters.

Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.

In the given question,

The area of the base is simply the area of a square, which is:

Area of base = length x width = 4.5m x 4.5m = 20.25 square meters

To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).

We can use the Pythagorean theorem to do this:

h²= (1/2 x base)² + height²

h² = (1/2 x 4.5)² + 6²

h² = 2.25 + 36

h² = 38.25

h = √38.25

h = 6.18 meters (rounded to two decimal places)

Now that we know the slant height, we can find the area of each triangular face:

Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters

Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:

Total area of triangular faces = 4 x 13.5 = 54 square meters

Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Surface area = Area of base + Total area of triangular faces

Surface area = 20.25 + 54

Surface area = 74.25 square meters

Therefore, the surface area of the pyramid is 74.25 square meters.

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