A serviceman charges an hourly rate of $60, but also charges a fixed fee for making
house calls regardless of time spend on the job. One day, the serviceman earned a
total of $220 for a 3 hour job. Write an equation for C, in terms t, representing the
total cost of the serviceman's services if the serviceman spends t hours at the house
working?

Answer:

x = 0, x = 5

Step-by-step explanation:

2x² = 10x ( subtract 10x from both sides )

2x² - 10x = 0 ← factor out 2x from each term on the left side

2x(x - 5) = 0

equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x - 5 = 0 ⇒ x = 5

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Alice spent $227.88 on 12 shirts

Step-by-step explanation:

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Step-by-step explanation:

Maureen's pension would be $50,035.20.

What is Percentage?

To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.

First, we need to calculate the average of Maureen's three highest salaries:

Average = (107,000 + 107,800 + 108,198) / 3

Average = 322,998 / 3

Average = 107,666

Next, we need to calculate 1.56% of this average:

Percentage = 1.56% * 107,666

Percentage = 1,667.84

Finally, we multiply this percentage by the number of years worked to find the pension:

Pension = 30 * 1,667.84

Pension = 50,035.20

So, Maureen's pension would be $50,035.20.

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Answer:

Consolidation

Step-by-step explanation:

Maths is a great way to get a job and then you can give it a try for a few days and then again you can give it a try for a few days and then again you can give it a try for a few days

Answer:

X >= 5

Step-by-step explanation:

8 - 4 = 4

So X can be any number greater than or equal to 5.

Hope this helps - have a nice day! :)

The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.

To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.

Given:

h1 = 15 inches

h2 = 20 inches

The ratio of the heights is:

h2 / h1 = 20 / 15 = 4 / 3

Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:

r2 / r1 = 4 / 3

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Here's the solution :

9. Statement : \( \tt{VB\:\: bisects\;\; \angle EVO}\)

10. Statement :\(\tt \angle3 \cong \angle 4\)

11. Statement \( \tt{VB\:\: bisects\;\; \angle EBO}\)

12. Statement :\(\tt \angle1 \cong \angle 2\)

13. Statement : \( \tt \overline{BV }\cong \overline{BV}\)

14. Statement : \( \tt \triangle \:BEV \cong \triangle \:BOV \)

15. Statement : \(\tt \angle E \cong \angle O\)

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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Answer:

A.

Step-by-step explanation:

The angles are not always congruent as the only way for them to all be congruent is if it were to be a square, and not all parallelograms are squares.

Answer:

answer is A, source: a calculator

Step-by-step explanation:

if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION

Answer:

Step-by-step explanation:

It’s 9 because you make 7 and 2 a positive number

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

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

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

Answer:

0.022

Step-by-step explanation:

let me explain the number before the decimal is the whole number now what ever is behind the decimal izs a decimal for example 0.1 is 0 and the .1 is the tenth

Answer:

-6,-8

Step-by-step explanation:

Answer:

Here's the general rule for rounding:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Answer:

6, because anything inside | | are positive so -3 will now be 3.

3 minus -3 = 6

Step-by-step explanation:

Hope it helps! =D

There will be 25 sample outcomes that are possible when two five sided dices are rolled.

Teo five sided dice rolled in this experiment, The sample space can be defined as:

n = (1,1) (1,2) (1,3) (1,4) (1,5)

(2,1) (2,2) (2,3) (2,4) (2,5)

(3,1) (3,2) (3,3) (3,4) (3,5)

(4,1) (4,2) (4,3) (4,4) (4,5)

(5,1) (5,2) (5,3) (5,4) (5,5)

n = 25

The sample space is defined as the event A is the sum of two dices is six :

n(A) = (1,5) (2,4) (3,3) (4,2) (5,1) = 5

The first die can land face-up in any one of n1 = 5 ways. For each of these 5 ways, the second die can also land face-up in n2 = 5 ways. Therefore, the pair of dice can land in n1n2 = (5)(5) = 25 possible ways.

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Answer:

3

Step-by-step explanation:

-4|3| -1 = -13

-12 -1 = -13

-13 = -13

Answer:

3

Step-by-step explanation:

-4|3| -1 = -13

-12 -1 = -13

-13 = -13

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:

1. 3/4 2. -1/3

Step-by-step explanation:

#1:

Given rise/run, the rise is 3, and the run, is 4, so... 3/4

#2:

Given rise/run, the rise is 2, and the run is 6, so... you get 2/6 = 1/3. However, don't forget that the slope is negative, so it'll be -1/3.

Answer:

3. 3/4

4. -1/3

Step-by-step explanation:

Since the rise and run formula is slope = (y1-y2)/(x1-x2),

3. (2 - (-1) ) / (2- (-2) ) = 3/4

4. (-1- (-3) ) / (-2 - (-4) ) = -2/6 = -1/3

Answer:  A= s^2 <- for a square

A= 1/2*b*h <- for a triangle

A= 4^2= 16

A= 1/2*8*6 (The whole height is 8 yd)

A= 1/2*48

A= 24

24+16= 40 yd^2

"B" is the answer.

I hope this helps!

Step-by-step explanation: A= s^2 <- for a square

A= 1/2*b*h <- for a triangle

A= 4^2= 16

A= 1/2*8*6 (The whole height is 8 yd)

A= 1/2*48

A= 24

24+16= 40 yd^2

"B" is the answer.

I hope this helps!

Answer:

40 yd²

Step-by-step explanation:

took test :)

The following two-column proof can be used to demonstrate the congruency of triangles MNO and XYZ:

Two figures are said to be "congruent" if they can be perfectly positioned over each other. When stacked on top of each other, both bread slices are the same size and shape. Things that are exactly the same size and shape are said to be congruent.

Given: Line segment OZ bisects line segment MN and line segment XZ, and MNO is reflected across line OZ to form XYZ.

Prove: Triangles MNO and XYZ are congruent.

Statements | Reasons

OZ bisects MN, OZ bisects XZ | Given

Angle MOZ = Angle XOZ, Angle NOZ = Angle YOZ | Definition of angle bisector

∠MOZ = ∠XOZ, ∠NOZ = ∠YOZ | Using Corresponding angles postulate

∠MON = ∠XOY, ∠NOZ = ∠YOZ | Using definition of angle bisector

m∠MON = m∠XOY, m∠NOZ = m∠YOZ | Using Angle addition postulate

MN = XZ, MO = XO, NO = YO | Using Segment addition postulate

MNO ≅ XYZ | Using SAS congruence theorem

Therefore, we can conclude that the triangles MNO and XYZ are congruent.

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Using the circles:

A circle with a radius of 8 inches has an area and circumference given by:

A = πr² = π(8²) ≈ 201.06 square inches

C = 2πr = 2π(8) ≈ 50.27 inches

Rounding to the nearest hundredth:

A ≈ 201.06 square inches

C ≈ 50.27 inches

Therefore, the area is approximately 201.06 square inches and the circumference is approximately 50.27 inches.

A circle with a diameter of 20 meters has a radius of 10 meters. The area and circumference are given by:

A = πr² = π(10²) ≈ 314.16 square meters

C = 2πr = 2π(10) ≈ 62.83 meters

Rounding to the nearest hundredth:

A ≈ 314.16 square meters

C ≈ 62.83 meters

Therefore, the area is approximately 314.16 square meters and the circumference is approximately 62.83 meters.

Using these relationships, find the measures of some of the angles:

a) mJKP = mJKN (by vertical angles) and mJKP + mPKL = 90° (by complementary angles), so mJKN + mPKL = 90°.

b) mJKN = mJKP (by vertical angles) and mJKN + mKNM = 90° (by complementary angles), so mJKP + mKNM = 90°.

c) mJLK = mMPL (by alternate interior angles) and mMPL = 63°, so mJLK = 63°.

d) mKNM = 90° - mJKN (by complementary angles). We cannot determine the measure of mJKN.

e) mJLK = mMPL (by alternate interior angles) and mJLR = mJLP (by vertical angles), so:

mJLK + mKLP + mPLJ + mJLP = 360° (by the sum of angles in a quadrilateral)

63° + 90° + mPLJ + mJLP = 360°

mPLJ + mJLP = 207°

f) mJLR = mJLP (by vertical angles) and mKPL = 90°, so:

mJLR + mJLP + mKPL = 180° (by the angles in a triangle)

mJLR + mJLP + 90° = 180°

mJLR + mJLP = 90°

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Image transcribed:

Use the circle below for questions 1-7.

1. Name a radius.

2. Name a diameter.

1.

2.

3.

R

3. Name a chord that is not a diameter.

P

4. Name a central angle.

4.

S

5. Name a minor arc.

5.

6. Name a major arc.

7.

7. Name a semicircle.

For questions 8 and 9, find the area and circumference. Round to the nearest hundredth.

8.

A =

C=

9.

A =

20 m

8 in

C=

10. If m∠MPL = 63°, find each measure.

K

a) mR= =

= m KNM d) 이이

=

b) - =

c) L

=

f) mJLR =

N

M

Gina Wilson (All Things Algebra, LLC), 201

Answer:

Yes it will be greater, he is moving back 3 feet so what you are doing is taking the leg (a2) and multiplying it by 3. Once you do, you see triangle 1 has double and so did triangle 2. Triangle 1 was originally 5.6 (rounded to 6) than went up to 26.1. Triangle 2 was originally 24 and went up to 74.7 (or 75)

Step-by-step explanation:

Triangle 1 (when multiply by 3)

a2+b2=c2

7(square to 2)+b2=27(square to 2)

49+b2=729

-49       -49

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

b2=680

(square root it)

b=26.1 Rounded to nearest tenth

Triangle 2:

a2+b2=c2

7(square to 2)+b2=75(square to 2)

49+b2=5625

-49      -49

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

b2=5576

(square root it)

b=74.7 (or 75 rounded to nearest tenth)

Hope this helps anyone who needs it :)

Answer:

\(\sf 872\)

Step-by-step explanation:

Parentheses

\(9 + 3 = 12\)

\(=20^2\cdot \:2+6\cdot \:12\)

Exponents

\(20^2=400\)

\(=400\cdot \:2+6\cdot \:12\)

M/D(Multiply/Div.)

\(6\cdot \:12 = 72\)

\(=800+72\)

A/S(Add/Sub.)

\(800+72=872\)

\(\sf Thus,\\= 872\)

Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

Answer:

me no speak espanol sorry

Francine can type 38 words per minute at this rate.

To find out how many words Francine can type per minute, we need to convert the time she took to type the words into minutes. Since there are 60 minutes in 1 hour, 1 hour and 30 minutes is equivalent to 1 × 60 + 30 = 90 minutes.

Next, we can use the formula:

words per minute = total words / total minutes

where "total words" is the number of words Francine typed (3,420) and "total minutes" is the time she took in minutes (90).

Substituting these values into the formula, we get:

words per minute = 3,420 / 90 = 38

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