Which is the correct independent and dependent variable in the given situation?
A) Independent variable: employee; Dependent variable: number of hours

B) Independent variable: nursing home; Dependent variable: employee

C) Independent variable: number of hours; Dependent variable: nursing home

D) Independent Variable: empire; Dependent Variable: nursing home

Answer:

32

Step-by-step explanation:

you have to divide 224 by 7

[tex]224 \div 7 = 32 \\ [/tex]

Answer:

they bought 6 tickets

Step-by-step explanation:

8.50t+6.50= 57.50 subtract 6.50

8.50t=51 divide 8.50

t=6

Answer:

6

13

1

-7

Step-by-step explanation:

Answer:

To me it looks to be A: UBA/NBG because I can see two right isosceles. Hope this helps!!

To prove Triangle BUN is isosceles with BU = BN using ASA, additional given information is needed to show that UN = NA.

In order to prove that Triangle BUN is isosceles with BU = BN, we need additional given information. To use the ASA (Angle-Side-Angle) congruence criterion, we already have BUN = BNA, but we also need to know that UN = NA. Without this information, we cannot conclude that the triangles are congruent.

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Answer:

Step-by-step explanation:

[tex]-7x-3x=-8x-8\\\\-10x=-8x-8\qquad\text{add}\ 8x\ \text{to both sides}\\\\-10x+8x=-8x+8x-8\\\\-2x=-8\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{-8}{-2}\\\\x=4[/tex]

Answer:

(x + 7)3y = 3xy + 21y

Step-by-step explanation:

Expand the expression in the question by using the distributive property. This means you multiply the term (number) outside the bracket with each of the terms (numbers) inside the bracket.

(x + 7)3y                  Expand this

= (x)(3y) + (7)(3y)            Multiply 3y with x and 7

= 3xy + 21y                 Simplified, final answer

Answer:

-4

Step-by-step explanation:

-4*-4= 16

[tex]\text{Simplify:}\\\\(5x+5)-(8x-9)\\\\\text{Distribute the negative to the variables in the parenthesis}\\\\5x+5-8x+9\\\\\text{Combine like terms}\\\\-3x+5+9\\\\\boxed{-3x+14}[/tex]

Answer:

54.75

Step-by-step explanation:

219 divided by 4. Just plug it into a calculator

Answer:

54¾

Step-by-step explanation:

To start

4 goes in 219 = 54 times

remaining 3

so, writing as mixed fraction we have

219/4 = 54¾

Answer:

[tex]234.6\%[/tex]

Step-by-step explanation:

we know that

To convert decimal number  as a percent, multiply the number by 100 (just move the decimal point two places to the right)

we have

[tex]2.346[/tex]

Convert as a percent

Multiply by 100

[tex]2.346(100)=234.6\%[/tex]

Answer:

The equation of line is y+2=0

Step-by-step explanation:

The equation of line passing through the point [tex](x_{1},y_{1} )[/tex]and having slope  m is

[tex]y-y_{1} = m (x-x_{1}[/tex]

Given slope m=0 and given point is  is (-2,-2)

[tex]y-(-2)=0(x-(-2))[/tex]

[tex]y+2=0[/tex]

therefore equation of the straight line is [tex]y+2=0[/tex]

Therefore the straight is parallel to negative x-axis(y=-2)

Answer:

160

Step-by-step explanation:

20 percent of 800 is 160

The saleswoman earned a commission of $160 last month from selling $800 worth of merchandise, given that her commission rate was 20%.

The subject of your question lies in the domain of Mathematics, specifically, a concept taught in Middle School known as percentages. In this case, we're tasked with finding out how much commission a saleswoman earned by selling $800 worth of merchandise, given that she earns a 20% commission on all items sold.

The process for calculating this is straightforward. You multiply the total amount of the sold merchandise by the percentage commission to find out the amount earned. In mathematical form:

Total commission earned = Total amount of items sold * Commission Rate

Substitute the given values into this equation:

Total commission earned = $800 * 20%

To convert the percentage to a decimal, you divide by 100, thus, 20% = 20/100 = 0.2

Hence, Total commission earned = $800 * 0.2 = $160

Therefore, the saleswoman earned a commission of $160 last month from selling the merchandise.

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Answer:

AP = 13

Step-by-step explanation:

See the attached figure.

CD = 10 and XY = 24

Line XY bisects and is perpendicular to AB and CD

∴ XY bisects at Y

∴ CY = 0.5 CD = 0.5 * 10 = 5

And from the geometry of the shape

P is the midpoint of XY

∴ XP = YP = 0.5 XY = 0.5 * 24 = 12

XY is perpendicular to CD

∴ ΔPYC is a right triangle at Y

∴ PC (hypotenuse) = [tex]\sqrt{PY^2+YC^2} =\sqrt{12^2+5^2}=\sqrt{144+25} =\sqrt{169} =13[/tex]

From the figure AP = PC = 13

Answer:

The yellow table

Step-by-step explanation:

Because when 9+12=21 or 2+6+2+6+5=21

Its most likely going to show the results of the spinner when spun 20 times.

Answer:

Part a) [tex]y=-2x+4[/tex]

Part b) The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

[tex]m=(0-4)/(2-0)=-2[/tex]

Find the equation of the line in slope intercept form

[tex]y=mx+b[/tex]

we have

[tex]m=-2\\b=4[/tex]

substitute

[tex]y=-2x+4[/tex]

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

[tex]y=-2x+4[/tex]

substitute

[tex]x=-2x+4\\3x=4\\x=\frac{4}{3}[/tex]

[tex]y=x=\frac{4}{3}[/tex]

therefore

The coordinates of the point are [tex](\frac{4}{3},\frac{4}{3})[/tex]

Answer: 45mph

Step-by-step explanation: to solve this, all you have to do is add all of your data, and divide it by the number amount of data you have

Answer:

36 miles per hour

90miles/2.5hr = 36

Answer:

StartFraction 3 (y minus 5) Over 2 EndFraction

Step-by-step explanation:

First we need to factor all the polynomials here using quadratic equation (-b +/- √(b^2 - 4ac)) / 2a :

* 2y^2 - 6y - 20 = 2(y^2 -3y - 10)

From quadratic equation, solutions are 5 and -2, which means that we can factor this to;

2(y+2)(y-5)

* y^2 + 5y + 6, in the same manner, is found to have solutions -3 and -2, so it can be factored to:

(y+3)(y+2)

* 3y^2 + 18y + 27 = 3(y^2 + 6y + 9)

Again, solving quadratic equation, we find solution to be -3, so we factor this to:

3(y+3)(y+3)

* 4y + 12 equals to 4(y+3)

Now, let's rewrite our polynomials:

2(y+2)(y-5) • 3(y+3)(y+3) / 4(y+3) • (y+3)(y+2)

We see that we can cancel out some factors here (x+3) and (x+2), so we are left with 6(y-5) / 4 which is 3(y-5)/2.

Answer:

Option B, 3(y-5)/2

Step-by-step explanation:

Answer:

circumference of a circle [tex]C = 2\pi r=\pi (d)[/tex]

Step-by-step explanation:

Explanation:-

Circumference of a circle having radius is [tex]C = 2\pi r[/tex]

we know that the radius of circle is 'r'

The diameter of a circle is passing through the center of the given circle.

there fore the diameter of circle is equal to the two times of radius of given circle so   d= 2 r

Circumference of a circle having diameter is

[tex]C= 2\pi r = 2r(\pi )[/tex]........(1)

we know that d = 2 r

now the equation (1) is [tex]C= d\pi[/tex]

Therefore The circumference of circle by using diameter is

[tex]C = \pi d[/tex]

Answer:

It is 20.9feet

Step-by-step explanation:

Answer:19.1

Step-by-step explanation:

The student's question is a math problem involving consecutive numbers and a basic linear equation. The page numbers of an open book are consecutive, implying the left page is x and the right is x+1. Solving the equation x+(x+1)=333 results in the left page being 166 and the right page 167.

The problem can be approached using the basic concept of consecutive integers in Mathematics. If the total sum of the two page numbers is 333, this means we are dealing with two consecutive numbers (since the left and right page numbers of an open book are always consecutive). Let's represent the left page number as x (unknown at this point). So, the right page number would be x+1 setting up our equation as x+(x+1)=333. Solving this equation will help us find the actual page numbers.

So, the left and right page numbers are 166 and 167 respectively.

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Answer:

Look at the photo below for the answer.

:)

Answer: 4

Step-by-step explanation:

Answer:

2x(x - 4)

Step-by-step explanation:

Given

2x² - 8x ← factor out 2x from each term

= 2x(x - 4) ← in factored form

Answer:

no solution

Step-by-step explanation:

if you graph these two equations the line would be parallel.

parallel = no solution

intersect = one solution

overlap = infinite amount of solution

The area of rectangle is 15x - 25y + 30 sqaure units

Solution:

Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6

To find: Area of rectangle

The area of rectangle is given by formula:

[tex]Area = length \times width[/tex]

From given,

Length = 5

Width = 3x - 5y + 6

Substituting the values in formula, we get,

[tex]Area = 5 \times (3x - 5y + 6)\\\\\text{Multiply 5 with each term inside the bracket }\\\\Area = 5(3x) -(5)(5y) +5(6)\\\\\text{Simplify the above expression }\\\\Area = 15x -25y + 30[/tex]

Thus area of rectangle is 15x - 25y + 30 sqaure units

The circumference of above ground pool is 34.54 feet.

Step-by-step explanation:

Given,

Radius of above ground pool = 5.5 feet

Circumference of a circle is given by 2πr

Circumference of above ground pool = 2πr

r = 5.5, π = 3.14

Circumference of above ground pool = 2*3.14*5.5

Circumference of above ground pool = 34.54 feet

The circumference of above ground pool is 34.54 feet.

Keywords: radius, circumference

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Answer:

The solution is x=7

Step-by-step explanation:

We want to solve for x in the equation

[tex] - 2x + 8 = - 6[/tex]

Subtract 8 from both sides of the equation:

[tex] - 2x + 8 - 8 = - 6 - 8[/tex]

Simplify to get:

[tex] - 2x + 0 = - 14[/tex]

This implies that:

[tex] - 2x = - 14[/tex]

[tex]x = \frac{ - 14}{ - 2} [/tex]

[tex]x = 7[/tex]

Answer:

15 and 25

Step-by-step explanation:

the interior angles of a triangle, when added, = 180...so if one angle equals 140, then the other 2 angles have to measure a combined total of 40.

the other 2 angles are in a ratio of 3:5....added = 8

so one angle is 3/8 of 40......3/8 * 40 = 120/8 = 15 <===

the other angle is 5/8 of 40....5/8 * 40 = 200/8 = 25 <==

Final answer:

To find the measures of the other two angles in the triangle, set up a ratio between them: angle 1 is 3x and angle 2 is 5x. Solve the equation and find that the measures of angle 1 and angle 2 are 15° and 25°, respectively.

Explanation:

To find the measures of the other two angles in the triangle, we can set up a ratio between them. Let's call one angle 3x and the other angle 5x. We know that the sum of all three angles in a triangle is 180°. So we can write the equation: 140° + 3x + 5x = 180°.

Simplify the equation: 140° + 8x = 180°.

Subtract 140° from both sides: 8x = 40°.

Divide both sides by 8: x = 5°.

Now we can find the measures of the other two angles: Angle 1 = 3x = 3(5°) = 15°. Angle 2 = 5x = 5(5°) = 25°.

Answer:

No, 8 / 2 and 2 / 8 are not equivalent.

Step-by-step explanation:

2 Numbers switched makes a different result.

For example, switching numbers in 82.

As we switch the 8 and the 2, we get 28.

28 is not equivalent to 82.

As we do 8 / 2, when we switch the numbers, we get 2 / 8.

2 / 8 is not equivalent to 8 / 2.

As we solve both equations, 8 / 2 = 4, 2 / 8 = 0.25.

0.25 is not equivalent to 4.

Therefore, 8 / 2 and 2 / 8 are not equivalent.

Hope this helps!

[tex]\text{Hey there!}[/tex]

[tex]\bf{Are\ 8\div2\ and\ 2\div8\ equivalent?}[/tex]

[tex]\text{The answer to this question is \bf{\underline{NO}}}[/tex] [tex]\checkmark[/tex]

[tex]\bf{Reason: because \ 8\div2=4 \ and\ 2\div8 = 0.25. \ So, both\ gives\ you}\\\bf{different\ answers\ and \ NOT\ the\ same\ answers}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

C. x + 12 = 40

Answer: D. 2(x+12) =40​

Step-by-step explanation:

The Perimeter of a rectangle is calculated by the formula :

P = 2 ( length + width )

Let the width of the rectangle be x , then the perimeter becomes

40 = 2 ( 12 + x )