Which equation calculates the number of 13-foot pieces that can be cut from a piece of wood that is 7 feet long?

Answer: [tex]x=-8\\y=0[/tex]

Step-by-step explanation:

You can apply the elimination method:

- Multiply the first equation by -2.

- Add both equations to cancel out the variable x.

- Solve for y:

[tex]\left \{ {{(-2)(x-4y)=-8(-2)} \atop {2x-3y=-16}} \right.\\\\\\\left \{ {{-2x+8y=16} \atop {2x-3y=-16}} \right.\\ ------\\5y=0\\y=0[/tex]

- Substitute y=0 into any of the original equations ans solve for x. Then:

[tex]x-4(0)=-8\\x=-8[/tex]

The answers are:

[tex]x=-8\\y=0[/tex]

Since we have to equations, first we need to isolate one variable, and then substitute it into the other equation.

So, isolating x from the first equation we have:

[tex]x-4y=-8\\x=-8+4y[/tex]

Then, substituting "x" into the second equation, we have:

[tex]2(-8+4y)-3y=-16\\-16+8y-3y-=-16\\5y=-16+16\\5y=0\\y=\frac{0}{5}=0[/tex]

Therefore, substituting "y" into the first equation, we have:

[tex]x-4(0)=-8\\x-0=-8\\x=-8[/tex]

So, the solutions for the system of equation are:

[tex]x=-8\\y=0[/tex]

Have a nice day!

Answer:

Just take out the two lines and make it stay a negative number!

Which is (c) -11

2 bar represents absolute value which is positive value of passed number.

so |-6| will give positive of 6 that it 6.

so after taking absolute value now you have a nagetive sign in front of value we obtained. so your number now become negative.

so

- (|-11| )= -(11) = -11

so answer is option C

Answer:

6. x=10

8. B

Step-by-step explanation:

6.  The x intercept is when y=0

Let y=0

4x -5(0) = 40

4x = 40

Divide by 4

4x/4 = 40/4

x = 10

The x intercept is 10

8.  f(0) means x=0

The point on the y axis is B

Answer:

A- Students who do not act

B- Every 4th student selected from an alphabetical register of the club

E- Students whose names are randomly selected from a hat

Step-by-step explanation:

A drama teacher wants to decide where the drama club should go to celebrate their performance.

We are to determine whether which of the options is not a representative sample.

By definition, a sample which is the subset of the bigger population reflecting the characteristics is said to be a representative sample.

So the correct options are:

A- Students who do not act

B- Every 4th student selected from an alphabetical register of the club

E- Students whose names are randomly selected from a hat

Answer:

Step-by-step explanation:

The objective is to determine where the drama club should go to celebrate their final performance.

In orther to achieve that objective, the sample must be representative. For example, the sample must be formed by students that actually acts.

Therefore, A, B and E are not representative samples because they don't act, every 4th student selected doesn't imply that all of them act, and selecting randomly names won't represents students that actually acts.

Answer:

This graph is a line passing for the points (15/4,0) and (0,-5)

Step-by-step explanation:

It doesnt matter other options, the system represents a line, so you all need to do is graph a line according to the given equation.

-3y=15-4x which can be written as y=-5+x*4/3

This equation have one crossing point with y axis (15/4,0) and other at (0,-5)

So just put a line passing these points and you are good to go.

Answer:

750 sq. ft

Step-by-step explanation:

To understand the area of a triangle, we can start with the area of a rectangle. The area of a rectangle with some length (which I'll call L) and some width (which I'll call W) is just the product of those two values, L × W. How does this carry to triangles? Well we can take any triangle we want and draw a rectangle around it, using the base of the triangle as one of the rectangle's sides.

Now, the key here is to cut that original rectangle into two smaller ones, starting at the top point of the triangle. Notice now that half of the left rectangle is taken up by the orange triangle, and half of the right one as well. Putting those two together, we can say that the big orange triangle takes up exactly half of the green rectangle, or in other words, its area is (L × W) ÷ 2. Of course, when we talk about triangles, we use the words "base" (B) and "height" (H) rather than length and width, so you could also say that the area of a triangle is (B × H) ÷ 2.

Taking this into our problem, we're given a base of 100 ft and a height of 15 feet; using our newly-discovered equation, we find its area to be

(100 × 15) ÷ 2 = 1500 ÷ 2 = 750 sq. ft.

Step-by-step explanation:

a)

Subtract 0.4 from both side.

-9x +0.4 = 4

-9x + 0.4 - 0.4 = 4 - 0.4

-9x = 3.6

b)

divide by -9 both side

-9x/-9 = 3.6/-9

x = -0.4

c) x = - 0.4

The steps needed to solve the given equation is required.

Adding the opposite value of the constant to both sides.

Divide both sides by the coefficient of the variable.

The solution to the equation is [tex]x=-0.4[/tex]

The given equation is

[tex]-9x+0.4=4[/tex]

In order to solve this we first move constants to the side opposite of the variable.

This is done by adding the opposite value of the constant to both sides.

[tex]-9x+0.4-0.4=4-0.4[/tex]

Here [tex]0.4[/tex] is the constant so we add [tex]-0.4[/tex] to both sides.

[tex]\Rightarrow -9x=3.6[/tex]

Now, we divide both sides by the coefficient of the variable.

[tex]\Rightarrow \dfrac{-9x}{-9}=\dfrac{3.6}{-9}\\\Rightarrow x=-0.4[/tex]

The solution to the equation is [tex]x=-0.4[/tex]

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The given points have the same Y value.

Find the distance between the X values -3 to 1 is 4 units.

All sides of a square are the same length so the other points must be 4 units away.

Add 4 units to the Y values:

(-3,2) = (-3,(2+4)) = (-3,6)

(1,2) = (1,(2+4)) = (1,6)

Two other points to make a square could be (-3,6) and (1,6)

Answer:

The correct answer is option c) y = 6

Step-by-step explanation:

It is given that|10-5y| =20

Check each option

a) y = 2

|10 - 5y| = |10 - 5 * 2| = | 10 - 10 | = 0 ≠ 20

b) y = 4

|10 - 5y| = |10 - 5 * 4| = | 10 - 20 | = |-10| = 10 ≠ 20

c) y = 6

|10 - 5y| = |10 - 5 * 6| = | 10 - 30 | = |-20| = 20

d) y = 10

|10 - 5y| = |10 - 5 * 10| = | 10 - 50 | = |-40|  ≠ 20

From the above result we get the correct answer is option c) y = 6

Answer:

The correct answer option is a) y =2.

Step-by-step explanation:

We are given the following equation and we are to find its solution:

[tex] | 1 0 - 5 y | = 2 0 [/tex]

Since the expression [tex]10-5y[/tex] is enclosed in a modulus, it means that its value cannot be negative, it has to be positive always.

[tex] 1 0 - 5 y = 2 0 [/tex]

[tex] -5 y = 2 0 - 1 0 [/tex]

[tex] -5 y = 1 0 [/tex]

Ignoring the negative sign because of mod.

[tex]y=\frac{10}{5}[/tex]

y = 2

Answer:

3 in

Step-by-step explanation:

A cubes sides are all the same length. The volume is 27. We take the cube root of the volume to find one length. the cube root of 27 is 3 so one side length is 3.

Answer:

The correct answer would be B.

Step-by-step explanation:

Answer:

I'd say the answer is B. P ∧ Q

Answer:

B. 7x - 4

Step-by-step explanation:

A product of 7 and X means they will be multiplied. You can't subtract 4 until you know the product of 7 and X so that's why you subtract it after.

-32-4y=90

-4y=122

Y=-30.5

The solution is y =30.5

-4 (8+y) = 90

-32 - 4y = 90

Adding 32 on both sides

-32 - 4y +32 = 90 + 32

-4y = 122

or y = 30.5

The answer would be C

The phrase that describes the expression is 3 subtracted from the product of 7 and a number b

Given the expression 7b -3, we are to interpret the expression as a statement.

Hence the phrase that describes the expression is 3 subtracted from the product of 7 and a number b

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Answer:

Step-by-step explanation:

Payment Shock is when there is a risk that future periodic payments of a loan increases and thus may put the borrower at risk of defaulting on the loan.

It can occur for many reasons, such as:

People are usually attracted to these mortgages because low initial monthly payments. But sometimes, these backfire on them because of reasons stated above and put them at risk when monthly payments rise above being comfortable.

Answer:

[tex]d = \sqrt{164} = 12.8[/tex]

Step-by-step explanation:

We can find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We then substitute (2,-3) as [tex](x_1,y_1)[/tex] and (10,7) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(10-2)^2+(7--3)^2} \\d=\sqrt{(8)^2+(10)^2} \\d=\sqrt{64+100}\\d=\sqrt{164}=12.8[/tex]

Answer:

The bottom right, middle top, and bottom left are NOT cubes.

Step-by-step explanation:

Cubes are defined as a three dimensional object with the same length, width, and height. Since the square on the bottom left is two dimensional, It is not a cube. Since the hexagon on the bottom right is two dimensional, It can't be a cube. The Middle top shape doesn't have the same length height as it's width is, so it is not a cube. The rest are cubes.

Answer: Circle 1st, 2nd, 4th, and 6th

Step-by-step explanation:

A cube is 4 perfect squares in a 3-D shape. Only shape 3 and 5 show this.

340 divided by 0.3 = 1133.3

hope this helps xx

Answer:

The result is 7.8 * 10^3

Step-by-step explanation:

When we are dividing in scientific notation, divide the numbers in front

7.8/1 = 7.8

Subtract the exponents on the powers of 10

10^(7-4) = 10 ^3

The result is 7.8 * 10^3

Applying the angle bisector theorem, the value of x is: B. 5.3.

An angle bisector divides an angle into two congruent halves. According to the angle bisector theorem, an angle bisector of a triangle divides the interior angles opposite sides in such a way that the corresponding lengths are proportional to each other. This means that the corresponding sides have ratios that are equal.

In the image given, applying the angle bisector theorem, we have the following proportion which we can use to find the value of x in the triangle given above:

6/x = 9/8 [according to the angle bisector theorem]

Cross multiply

(9)(x) = (6)(8)

9x = 48

Divide both sides by 9

9x/9 = 48/9

x = 5.333

Thus, to the nearest tenth, the value of x is approximately calculated as: B. 5.3

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Answer:

-22

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

got it right on test

Answer:

C

Step-by-step explanation:

5.95(x)=71.40

7140/595=12

5.95(12)=71.40

The correct equation to find the number of sandwiches sold, X, is C: 5.95X = 71.40, which shows a direct correlation between the price per sandwich and the total income.

The question asks which equation can be used to determine the number of sandwiches, X, sold by the sandwich shop one afternoon given that each sandwich is sold for $5.95 and the total revenue is $71.40. The correct choice is C: 5.95X = 71.40. This is because to find the number of sandwiches sold (X), we need an equation that relates the price per sandwich to the total income from selling X number of sandwiches. Here, each sandwich is $5.95, and when you multiply that by the number of sandwiches sold, you should get the total sales of $71.40. Therefore, the equation is 5.95X = 71.40, where you can solve for X to find the total number of sandwiches sold.

your answer is 3,697

it is 3,697. just take the first digit in each number, put it in the proper place by combining them

4= 1/4

1/4x1/4 = 1/16

Answer: the person who answered this is wrong it’s 1/12.

1/4 divided by 3 (4 x 3=12, so 1/12)

Step-by-step explanation:

Answer:

6x + 8

Step-by-step explanation:

The perimeter of the rectangle

P = 2(L + W)

Plug in

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

= 2(3x + 4)

Distributive property

= 6x + 8

Answer:

The perimeter of the rectangle = 6x + 8

Answer: 12cm

Work is shown in the attached sheet! :)

Answer:

12

Step-by-step explanation:

Answer:

The volume would be 942

Cheers pal

Step-by-step explanation:

Answer: 942cm^3

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

4, 5 and 6 are all numbers greater than 3.

The chances of rolling a 4 is 1/6, that of a 5 is 1/6, and that of a 6 is 1/6.

The chances of rolling a number greater than 3 is thus 3/6, or 1/2.

This is theoretical probability; you haven't actually observed this happening.

We can now multiply (300 rolls) by this probability 1/2, obtaining 150.

We predict that in 300 rolls, 150 numbers greater than 3 would be rolled.

[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ A=5\\ b=x\\ h=x-9 \end{cases}\implies 5=\cfrac{1}{2}(x)(x-9)[/tex]