Dorinda worked 2 part- time jobs and earned $234.50 for working a total of 30 hours at both jobs. She is paid $7.50 per hour at Job A and $8.00 per hour at Job B. How many hours did Dorinda work at Job A?

Answer:

The interest rate= 12.05%

Step-by-step explanation:

The interest rate= 12.05%. I added the steps down below to help you understand.

Steps:

1: I=$160.67

2: p= $2000

3: t= 8 months = 8/12 = 2/3 years.  I=prt

4: 160.67 = 2000.r. 2/3 Substitute

5: 160.67 = 4000/3r  Multiply

6: 3/4000 .160.67= 3/4000 . 4000/3r Multiply both sides by 3/4000

The interest rate= 12.05%

Answer: 12.05%

Hope this helps.

Answer:

12%

Step-by-step explanation:

Your equation would be 160=2000xRx2/3 (8 months=2/3

First, multiply 2000x2/3 which equals 1333.33

So now we have 160=1333.33r

Second, divide 160 by 1333.33 which equals 0.1200003

Lastly, move the decimal two spots over to get your percent which is 12%

Hope this helped :)

Answer:

Mean: 16; Mode: 15

Step-by-step explanation:

I did it.

Answer:

I think the mean is 16.

The mode is 15 because it is the most seen number in the data set.

Step-by-step explanation:

Add then divide for the mean (add all numbers, then divide by how many numbers there are).

The mode is the one that you see the most.

Hope this helps guys!

Answer:

SV = 41 units

QT = 21 units

Step-by-step explanation:

Please refer to the attached figure.

It is given that line segment TV has a perpendicular bisector as line N which intersects on line on TV at point R.

So, TR = RV

We are given that:

[tex]RV = 3 x + 2\\QV = 4 x + 1\\TS =9 x -4 \\TR = 17\ units[/tex]

Comparing the values of TR and RV:

[tex]3x +2=17\\\Rightarrow x = 5[/tex]

We can easily observe that due to the nature of the construction of this figure there is symmetry present.

As a result, we can draw the following conclusions:

1. [tex]QT = QV = 4x+1\\[/tex]

Putting value [tex]x=5[/tex]:

[tex]QT = 4\times 5+1\\\Rightarrow QT =21\ units[/tex]

2. [tex]TS =SV = 9x-4[/tex]

Putting value [tex]x=5[/tex]:

[tex]\Rightarrow SV = 9 \times 5-4\\\Rightarrow SV = 41\ units[/tex]

Hence the values are:

SV = 41 units

QT = 21 units

Answer:

41,21

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25

Answer:

The answer is true

Step-by-step explanation:

Answer:

16088

Step-by-step explanation:

Add the base price and the destination charge

15499+589

16088

Answer:

it is 16088

Step-by-step explanation:

$15,499+589=16088 You just Add it

Answer:

If he spent 10 hours one week and 11 hours the next, it is correct that he spent 110% more time.

Step-by-step explanation:

Now it would actually be 10% but the way this question is asked here is why it would be 110%.

Answer:

A. 260°

Step-by-step explanation:

The measure of the arc in the circle given is 260°

A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the centre). Any interval joining a point on the circle to the centre is called a radius. By the definition of a circle, any two radii have the same length.

Given is a circle, with an inscribed angle of 50°, we need to find the arc ABC,

So, according to the inscribed angle theorem,

∠ BAC = 1/2 arc BC

So, arc BC = 2 x ∠ BAC

arc BC = 2 x 50

∠ BAC = 100°

Now,

arc ABC = 360° - arc BC

Since, we know that the whole circle, measures 360°

So,

arc ABC = 360° - 100°

arc ABC = 260°

Hence, the measure of the arc in the circle given is 260°

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Answer:

yes

Step-by-step explanation:

Answer:

yesssssssssssss

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

3x+2=2x+13÷3

9x+6=2x+13

9x-2x=13-6

7x=7

x=1

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x after solving the equation is 1.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation

3x + 5 = 3 is an equation

We have,

3x + 2 = (2x + 13) / 3

Multiply both sides by 3.

3 x (3x + 2) = 2x + 13

Remove the parentheses.

(3 x 3x) + 3 x 2 = 2x + 13

9x + 6 = 2x + 13

Subtract 2x on both sides.

9x + 6 - 2x = 13

7x + 6 = 13

Subtract 6 on both sides.`

7x + 6 - 6 = 13 - 6

7x = 7

Divide 7 on both sides.

x = 1

Thus,

The value of x after solving the equation is 1.

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Answer:

The last graph or

Graph C

Step-by-step explanation:

Answer:

I'm glad you asked!

Step-by-step explanation:

Factor [tex]25x2+30x+9[/tex]

[tex]25x2+30x+9[/tex]

[tex]=(5x+3)(5x+3)[/tex]

Answer:

[tex]=(5x+3)(5x+3)[/tex]

Answer: C. (5x+3)(5x+3)

Step-by-step explanation:

This is assuming this is a quadratic with 25x2 actually being 25x^2

We can start by simplifying the 25 to be 5^2

As well as the 9 to be 3^2

The expression now looks like: [tex]5^{2}x^{2} + 30x + 3^2[/tex]

Now we can apply an exponent rule to the 5^2 x^2

The rule states: [tex]a^{m}b^{m} = (ab)^m[/tex]

So this means: [tex]5^{2}x^{2} = (5x)^2[/tex]

We can now rewrite 30x as 2 * 5x * 3

The expression now looks like: [tex](5x)^{2} + 2 * 5x * 3 + 3^{2}[/tex]

Now this expression matches with the perfect square formula which states:

[tex](a+b)^{2} = a^{2} +2* a * b + b^{2}[/tex]

Our a value is 5x and our b value is 3.

So: [tex](a+b)^{2} = (5x+3)^{2}[/tex]

The answer is (5x+3)(5x+3)

Answer:

Cost of procedure is $45

Step-by-step explanation:

In this question, we are concerned with finding the cost of the procedure, given the tip amount and the percentage of which it is of the procedure cost.

From the question, we are told that the cost of the procedure is b

Mathematically, 12% of b = tip

Thus,

12/100 * b = 5.4

12b = 5.4 * 100

12b = 540

b = 540/12

b = $45

Answer:

100

Step-by-step explanation:

perfect square  (a - b)^2 = a^2 - 2ab + b^2

In this case

20x = 2 * x * 10

and

10^2 = 100

so

(x - 10)^2 = x^2 - 20x + 100

Therefore, the missing constant term is 100

.

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: [tex](x + 7)^2 + (y - 10)^2 = 13^2[/tex]

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

Option A (5,12)

When x=5, y=12

[tex](5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2[/tex]

Option B (-7,-3)

When x=-7, y=-3

[tex](-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2[/tex]

Option C (-6,-10)

When x=-6, y=-10

[tex](-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2[/tex]

Option D (6,23)

When x=6, y=23

[tex](6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2[/tex]

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

a2+b2=25

or, (a+b)^2-2ab=25

or, (7)^2-2ab=25 [a+b=7]

or, 49-25=2ab

or, 24/2=an

•°• ab=12....

Answer:

[tex]I=\frac{P}{V}[/tex]

Step-by-step explanation:

We are given the equation [tex]P=I*V[/tex], and we need to solve the equation for [tex]I[/tex]. Solving an equation for a variable means that we manipulate the equation so it is in the form (variable being solved for) = ?, where the ? is any expression.

To solve for [tex]I[/tex], we need to isolate the variable. This is the process of getting the equation into the form mentioned above by essentially getting all [tex]I[/tex] terms on one side and all [tex]\text non-I[/tex] terms on the other side.

In this case, we need to "get rid" of the [tex]V[/tex] from the right-hand side (RHS). Notice that it is being multiplied by the variable we are solving for. Therefore, to remove it from the RHS, we will need to perform the opposite operation, which is division. We will use what's called the Division Property of Equality to do this, which states that in order to maintain equality, you need to divide both sides of an equation by the same number.

Dividing both sides by [tex]V[/tex], we get:

[tex]P=I*V[/tex]

[tex]\frac{P}{V}=\frac{I*V}{V}[/tex]

[tex]\frac{P}{V} = I[/tex] (simplify RHS)

[tex]\bf I=\frac{P}{V}[/tex] (this uses the Symmetric Property of Equality - if a = b then b = a)

For more practice with solving literal equations, check out the following questions:

Answer:

Step-by-step explanation:

First look at the tangent function f(x) = tan x.  Its domain is restricted:  (-pi/2, pi/2).  There are no restrictions on the function value, so the range is (-infinity, +infinity).  The primary interval on which tan x is defined is (-pi/2, +pi/2, which has length pi.

In comparison, the domain of f(x) = tan 2x is only half as long as that of f(x) = tan x:  (-pi/4, +pi/4), with length pi/2.

Now, focusing on f(x) = 3cot(2x):  the range is the same:  (-infinity, +infinity).  The period is half that of tan x:  pi/2 instead of pi.  Remember that the cotangent function repeats itself every pi/2 radians.

Domain:  (-pi/4, +pi/4) (centered on the origin), (-3pi/4. 3pi/4), and so on, continuing to both the left and the right.

Range:  (-infinity, infinity)

The Answer is A. 6.67 in

Step-by-step explanation:

Given : The aspect ratio of a rectangular shape is its length divided by its width (L/W).

Let's Make  'L'  to be the length of the rectangular shaped chalkboard.

If  the aspect ratio of a chalkboard is 4:3 and the width is 5 in then we have To Multiply 5 on each side , we get the length of the chalkboard = 6.67 in.

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Bacon Hair

Answer:

x=10

Step-by-step explanation:

9*10=90+7=97

hope it helps

Answer:

x = 10

Step-by-step explanation:

[tex]9x +7 = 97\\Collect-like-terms\\9x = 97-7\\9x = 90\\Divide-both-sides-of-the-equation-by-9\\\frac{9x}{9} =\frac{90}{9} \\x = 10[/tex]

Answer:

$3600

Step-by-step explanation:

To find the total budget, you need to divide the amount money for the mortgage payment by the percentage is is of the budget.

21% = 0.21

756/0.21 = 3600

$3600 is the total family budget.

Answer: b 96 plus 160 cm

Step-by-step explanation:

Answer:

B. (96π + 160) cm2

Step-by-step explanation:

right on edge

Answer:

1: 2.65= x: 600

x= (1 * 600)/ 2.65= 226.41

Answer:

x^2+9x+20

Step-by-step explanation:

Answer:

q=7

Step-by-step explanation:

3(q +4/3)+2=23

3q+4+2=23

3q+2=23

3q=23-2

q=21/3=7

Answer:

- 2/3

Step-by-step explanation:

on khan academy

Answer:

6+7+5+4+2+10=34 (Units?)

Step-by-step explanation:

Add All the Sides Together

Answer:

i) If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 1 DVD player

[tex]P(\frac{D_{1} }{R} ) =0.6097[/tex]

ii)  If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 2 DVD player

[tex]P(\frac{D_{2} }{R} ) =0.2926[/tex]

iii) If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 2 DVD player

[tex]P(\frac{D_{3} }{R} ) =0.09756[/tex]

Step-by-step explanation:

Explanation:-

Given data

Let D₁ be the event of brand 1 DVD players

Given P( D₁) = 50% = 0.5

Let D₂ be the event of brand 2 DVD players

Given P( D₂) = 30% = 0.3

Let D₃ be the event of brand 3 DVD players

Given P(D₃ ) = 20% = 0.2

Let 'R' be the event of brand 1's DVD players require warranty repair work

Given data

         [tex]P(\frac{R}{D_{1} } ) = 0.25[/tex]

         [tex]P(\frac{R}{D_{2} } ) = 0.20[/tex]

         [tex]P(\frac{R}{D_{3} } ) = 0.10[/tex]

If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 1 DVD player

         [tex]P(\frac{D_{1} }{R} ) = \frac{P(D_{1} )P(\frac{R}{D_{1} }) }{P(D_{1} )P(\frac{R}{D_{1} }) +P(D_{2}) P(\frac{R}{D_{2} } )+P(D_{3}P(\frac{R}{D_{3} } ) }[/tex]

     Substitute all values

       [tex]P(\frac{D_{1} }{R} ) = \frac{0.50 X 0.25 }{0.50 X 0.25+0.30 X 0.20 + 0.20 X 0.10 }[/tex]

       [tex]P(\frac{D_{1} }{R} ) = \frac{0.125}{0.205} =0.6097[/tex]

   If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 2 DVD player

        [tex]P(\frac{D_{2} }{R} ) = \frac{P(D_{2} )P(\frac{R}{D_{2} }) }{P(D_{1} )P(\frac{R}{D_{1} }) +P(D_{2}) P(\frac{R}{D_{2} } )+P(D_{3}P(\frac{R}{D_{3} } ) }[/tex]

       [tex]P(\frac{D_{2} }{R} ) = \frac{0.30 X 0.20 }{0.50 X 0.25+0.30 X 0.20 + 0.20 X 0.10 }[/tex]

      [tex]P(\frac{D_{2} }{R} ) = \frac{0.06}{0.205} =0.2926[/tex]

If a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 3 DVD player

        [tex]P(\frac{D_{3} }{R} ) = \frac{P(D_{3}) P(\frac{R}{D_{3} } )}{P(D_{1} )P(\frac{R}{D_{1} }) +P(D_{2}) P(\frac{R}{D_{2} } )+P(D_{3}P(\frac{R}{D_{3} } ) }[/tex]

        [tex]P(\frac{D_{3} }{R} ) = \frac{0.20 X 0.10 }{0.50 X 0.25+0.30 X 0.20 + 0.20 X 0.10 }[/tex]

       [tex]P(\frac{D_{3} }{R} ) = \frac{0.02}{0.205} =0.09756[/tex]

1) The probability that a randomly selected purchaser has bought a brand 1 DVD player that will need repair while under warranty is 12.50%.

2) The probability that a randomly selected purchaser has a DVD player that will need repair while under warranty is 20.50%.

3) If a customer returns to the store with a DVD player that needs warranty repair work, the probability that it is a brand 1 DVD player is 60.975%, a brand 2 DVD player is 29.268%, and a brand 3 DVD player is 9.756%.

Since a chain of video stores sells three different brands of DVD players, and of its DVD player sales, 50% are brand 1, 30% are brand 2, and 20% are brand 3, and each manufacturer offers a 1-year warranty on parts and labor, and it is known that 25% of brand 1's DVD players require warranty repair work, whereas the corresponding percentages for brands 2 and 3 are 20% and 10%, respectively, to determine 1) what is the probability that a randomly selected purchaser has bought a brand 1 DVD player that will need repair while under warranty, 2) what is the probability that a randomly selected purchaser has a DVD player that will need repair while under warranty, and 3) if a customer returns to the store with a DVD player that needs warranty repair work, what is the probability that it is a brand 1 DVD player, a brand 2 DVD player and a brand 3 DVD player, the following calculations must be performed:

1)

2)

3)

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Answer:

-7 ≤ x

Step-by-step explanation:

4x – 12 ≤ 16 + 8x

Subtract 4x from each side

4x-4x – 12 ≤ 16 + 8x-4x

– 12 ≤ 16 + 4x

Subtract 16 from each side

-16 – 12 ≤ 16 -16+ 4x

-28  ≤  4x

-28  ≤ 4x

Divide each side by 4

-28/4 ≤ 4x/4

-7 ≤ x

Answer:

a^32

Step-by-step explanation:

(а^8)^4

We know that x^y^x = x^(y*z)

(а^8)^4 = a^(8*4) = a^32

Hey!!!!

Here's your answer:

(a^8)^4

=a^8*4

=a^32

Here, just we have to multiply the powers.

Hope it helps...

Good luck on your assignment