You purchase disposable plates, cups, and forks for a cookout. Plates are sold in packages of 24, cups in packages of 32, and forks in packages of 48. What are the least numbers of packages you should buy in order to have the same number of plates, cups, and forks?

Answer:

x= -3, x=-5

Step-by-step explanation:

Answer:

x = -3 or -5

Step-by-step explanation:

This is a quadratic equation, meaning that the solutions (x-values) will occur when the parabola intersects the x-axis

For now, all you have to do is isolate each mini expression, because you can divide each side by either parenthesis (since it's multiplication)

(x+5)(x+3) = 0                                          (x+5)(x+3) = 0

divide by (x+5)                                         divide by (x+3)

x+3 = 0                                                        x+5 = 0

subtract 3                                                 subtract 5

x = -3                                                           x = -5

Keep in mind that the parabola intersects the axis at BOTH (-3, 0) and (-5, 0)

Therefore, both answers (must be together unless question says otherwise) can be the value of x

x = -3 OR -5

Answer:

654321

Step-by-step explanation:

Answer:   [tex]\sqrt{41}[/tex]

On a keyboard you would type sqrt(41)

===========================================

Work Shown:

[tex]\text{point L} = (x_1, y_1) = (2,-1)\\\\\text{point N} = (x_2, y_2) = (7,-5)\\\\[/tex]

[tex]d = \text{distance from L to N}\\\\d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 } \ \text{ ... distance formula}\\\\d = \sqrt{ (2-7)^2 + (-1-(-5))^2 }\\\\d = \sqrt{ (2-7)^2 + (-1+5)^2 }\\\\d = \sqrt{ (-5)^2 + (4)^2 }\\\\d = \sqrt{ 25 + 16 }\\\\d = \sqrt{ 41 }\\\\[/tex]

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A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.

The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.

The distance formula is an altered version of the Pythagorean theorem.

Answer:

The distance between the two points provided is: [tex]\sqrt{41}[/tex]

Step-by-step explanation:

First thing is to evaluate what the distance formula is:

d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

Then substitute the points provided:

d = [tex]\sqrt{(7-2)^{2}+(-5-(-1)^{2} }[/tex]

(The double negative between -5 and -1 will make the -1 a positive 1). (1)

d = [tex]\sqrt{(5)^{2}+(6)^{2} }[/tex]

Now the exponents:

d = [tex]\sqrt{25+36}[/tex]

Second to last, you must add:

d = [tex]\sqrt{41}[/tex]

If needed ± should be added in front of the radical.

The points are the same as the ones that were given.

Answer: 2

Step-by-step explanation:

Answer:2

Step-by-step explanation:

9+3=12  12*2=24   48/24=2

Answer:

=288

Step-by-step explanation:

=48/2.12

=288

can you give me the crown please :)

Answer:

5

Step-by-step explanation:

7-2=5

Answer:

5

Step-by-step explanation:

7 + q if q = -2

7 + (-2)

7 - 2  

 5

Answer:

6

Step-by-step explanation:

im assume 6 because you just need to multiply them check tho

Answer:

56

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

the answer is 42

Step-by-step explanation:

becuase in decimal 5.25 divided by .125 is 42

Answer:

x+4y is not change because it's parallel what changes is the result 8 + 4 × 2 = 16 so the equation is x + 4y = 16

An equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;

⇒ x + 4y = 16

What is Equation of line?

The equation of line with slope 'm' and y - intercept at point 'b' is given as;

⇒ y = mx + b

Given that;

The point is = (8 , 2)

The line is x + 4y = 28

Since, Slope of line to its parallel line is same.

Hence, We find the slope of given equation of line as;

x + 4y = 28

After solving for y;

y = -1/4 x + 7

Compare with y = mx + b we get;

Slope (m) = -1/4

Thus, Equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;

y - 2 = -1/4 (x - 8)

4(y - 2) = - (x - 8)

4y - 8 = -x + 8

x + 4y = 16

So, An equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;

⇒ x + 4y = 16

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Answer:

1. 3 3/4 2. 2 2/5

Step-by-step explanation:

Answer:

(-12, -8)

Look at the photo for explaination.

Answer:

8.53

Step-by-step explanation:

Answer:

I solved it and my answer is 8.53

Answer: 2x+y=20 (A)

Step-by-step explanation:

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

The standard form of a linear equation is

Ax+By=C,A,B≠0Ax+By=C,A,B≠0

Before you can graph a linear equation in its standard form you first have to solve the equation for y.

2y−4x=82y−4x=8

2y−4x+4x=8+4x2y−4x+4x=8+4x

2y=4x+82y=4x+8

2y2=4x2+822y2=4x2+82

y=2x+4

(-1, -7), (3/4, 0),(1,1),(2,5) are the  points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

Two or more expressions with an Equal sign is called as Equation.

The given points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

For (-1,-7)

4(-1)-(-7)=3

3=3

So the point (-1, -7) lie on the line.

(0,3)

4(0)-3=3

-3=3

the point (0,3) does not lie on the line.

For point (3/4, 0)

4(3/4)-0=3

3=3

the point (3/4,0)  lie on the line.

For point (1,1)

4-1=3

3=3

The point (1,1) lie on the line.

For point (2,5)

8-5=3

3=3

The point (2,5) lie on the line.

For point (4,-1)

16+1=3

17=3

For point (4,-1) does not lie on the line.

Hence, (-1, -7), (3/4, 0),(1,1),(2,5) are the  points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

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Answer:

49/100

Step-by-step explanation:

Answer:

49/100

Step-by-step explanation: .49 you imagine that the decimal is a 1 and the numbers after it are 0's so there are 2 digits so 100

Answer:

$35

Step-by-step explanation:

50 * 30% = 15$ discount

50 - 15 = 35$ cost

30% discount is additional so based off sales price

Answer:

15

Step-by-step explanation:

First, you must distribute 5 to (x + 3)

5(x + 3) - 5x

5x + 15 - 5x

5x - 5x +15

(You can typically say 0x + 15, as a representation to show there are no more x values, but it is bet not to show any if there are none left)

(5x - 5x will cancel out, leaving only 15)

= 15

Answer:

1.0 x [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

1.0*10^-6!!!

Step-by-step explanation:

the answer is x= -2/5 and y= 2/5

Answer:

X=4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

hope this helps!  <3

The constant of proportionality is 0.2

The constant of proportionality for Josiah's speed is 0.2 miles per minute.

To find the constant of proportionality, we can use the formula:

constant of proportionality = distance / time

In this case, we have the distance Josiah skateboards from his house to school is 4 miles, and it takes him 20 minutes.

So, the constant of proportionality is:

4 miles / 20 minutes = 0.2 miles/minute

Therefore, the constant of proportionality for Josiah's speed is 0.2 miles per minute. This means that he skateboards at a constant rate of 0.2 miles per minute from his house to school.

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Answer:

so the a is considered to be the angle

Answer:

7. 69

Step-by-step explanation:

6x+3(x-7) when x=10

6(10)+3(10)-21

60+30-21

90-21

69

Answer: (7.) the answer is 69

Step-by-step explanation:

The best way to remember this is PEMDAS ("Please Excuse My Dear Aunt Sally)

Parenthesis, Exponent , Multiplication, Division, Addition, Subtraction (this is the order that you should work your problem)

6x+3(x-7) lets see where there is a parenthesis first (x-7), we're going to plug in 10 where x is listed >> (10-7)= 3

The problem now reads 6x+3(3)

We do not have exponents, so we move to see if there is multiplication

6x>> we're going to replace x with 10 to read 6*10 = 60

The other multiplication is 3(3) which =  9

your problem now reads : 60+9

There are no division so we move to Addition

60+9= 69

There are no subtractions so you are now done with your problem and left with the answer 69

Answer:

The two triangles are not similar

Step-by-step explanation:

Similar triangles have equal corresponding angles and proportion sides

Ex: If Δ ABC is similar to ΔXYZ, then

In the given question

∵ One triangle has angles that measure 45° and 83°

→ Find the measure of the 3rd angle

∵ The sum of the measures of the angles of a triangle is 180°

∴ The measure of the 3rd angle = 180° - 45° - 83°

∴ The measure of the 3rd angle = 52°

∴ The measures of the angles of this triangle are 45°, 83°, 52°

∵ Another triangle has angles that measure 45° and 42°

→ Find the measure of the 3rd angle

∴ The measure of the 3rd angle = 180° - 45° - 42°

∴ The measure of the 3rd angle = 93°

∴ The measures of the angles of this triangle are 45°, 93°, 42°

∵ The two triangles have different measures of 2 angles

→ That means their corresponding angles are not equal

∴ The two triangles are not similar

pretty sure it’s D

hope that helps