Terry the plumber charges a base fee of $40 for each visit to someone's home plus $25 each hour for
labor. When Kathy received her bill after he came to fix a leak in her sink, the total charge was $152.50.
How many hours did Terry work on Kathy's sink?

Answer:

x = 12

Step-by-step explanation:

Step-by-step explanation:

[tex]ab = ob - oa \\ ab = \binom{0}{ - 1} - \binom{3}{ - 2} \\ ab = \binom{ - 3}{ - 1} [/tex]

Answer: 1.75

Step-by-step explanation:

12x-3=18

+3 +3

12x=21

12 12

x=1.75

Answer:

Step-by-step explanation:

Step one:

given data

time takent= 3.5hours

distance = 60.9miles

the average speed is given as

Average speed= distance/time

Average speed= 60.9/3.5

Average speed= 17.4mph

Step two:

we are told that the speed was actually maintained, so we used the previous value obatained for the following computation

For a time taken as 1 hour, the distance will be

distance= average speed * time

distance= 17.4*1

distance= 17.4 miles

Answer:

Step-by-step explanation: A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour?

Answer:

​​

Step-by-step explanation:

Subtract 7y7y from both sides.

-4x=18-7y−4x=18−7y

2 Divide both sides by -4−4.

x=-\frac{18-7y}{4}x=−

​4

​

​18−7y

Answer:

B. 52 per raffle ticket

Step-by-step explanation:

you divide 624 by 12 giving the answer of 52

Answer:

The third side is 3√6 units.

Step-by-step explanation:

Given that this is a 90° triangle so you can apply Pythagoras Theorem :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]

[tex] {a}^{2} = 90 - 36[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

just use theorem pythagoras

Answer:

In triangle ABC, angle B is obtuse.

Step-by-step explanation:

The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.

Answer:

Rs. 23520

Step-by-step explanation:

Given that :

At 12% profit ; sales price = 18,816

At (12 + 3)% profit ; sales price = x

Hence,

0.12 = 18,816

0.15 = x

Cross multiply ;

0.12x = 0.15 * 18816

0.12x = 2822.4

x = 2822.4 / 0.12

x = 23520

Hence, sales price for a 3% increaa in profit should be Rs. 23520

Answer:

The cost of 7 pens is RS 70

Step-by-step explanation:

Let c=the cost of one book and p=the cost of one pen

5b+4p=115

b=15

5(15)+4p=115

75+4p=115

4p=115-75

4p=40

p=40/4

p=10

7p=7*10

7p=70

The cost of 7 pens is RS 70

Answer:

3 hours

Step-by-step explanation:

yes.

Answer:

A

Step-by-step explanation:

Unit rates means is a rate that compares something to "1" :)

Answer:

-3

Step-by-step explanation:

Finding the Equation of a Line Given Two Points:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-

intercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept. b=1

Step 3: Write the answer.

Using the slope of 3 and the y-intercept of 1, the answer is:

y = 3x + 1

Answer:

if i right it (0,2)

Step-by-step explanation:

i hope u get it right

Answer:

No Solutions

The two equations do not have any intersecting points, so the answer would be zero solutions.

Step-by-step explanation:

Answer: 95.15

Step-by-step explanation:

To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15

(I got the .25 from subtracting 100-75, and the 75 is the percent)

Answer: 95.15

Step-by-step explanation:

Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15

Our range is all set of y-values. Focus on y-value only.

Our range is {1,5,-1,7,-2}

So the answer is 1, 5,-1,7 and 2

Answer:

f(-2) = -40

Step-by-step explanation:

f(x) = 2(x - 3) • 4

Plug in -2 for x.

f(-2) = 2(-2 - 3) • 4

Follow PEMDAS

f(-2) = 2(-5) • 4

f(-2) = -10 • 4

f(-2) = -40

Answer:

[tex]f(x) = 2(x - 3) \times 4 \\ f(x) = 8(x - 3) \\ f( - 2) = 8( - 2 - 3) \\ f( - 2) = 8 \times ( - 5) \\ \boxed{f( - 2) = - 40}[/tex]

Answer:

-40

Step-by-step explanation:

I think that's the answer

Answer:

-32

Step-by-step explanation:

solve with order of operations (PEMDAS)

-8(4+1)

-8(4)

-32

Answer:

150 degrees

Step-by-step explanation:

180-20-10

Answer:

10 degrees

Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.

Answer:

The probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

Step-by-step explanation:

The data for a single day is s follows:

The total number of customers is, N = 236 + 202 + 40 = 478.

Let X denote the number of costumes purchased by the next person.

Compute the probability that the next person will purchase no more than one costume as follows:

[tex]P (X\leq 1)=1-P(X>1)[/tex]

               [tex]=1-\frac{40}{478}\\\\=\frac{478-40}{478}\\\\=\frac{438}{478}\\\\=\frac{219}{239}[/tex]

Thus, the probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

Answer:

c

Step-by-step explanation:

C is 3/5 of the way down on section -2

Answer:

Its A

Step-by-step explanation:

I just answered on edge

Answer:

10,2

Step-by-step explanation:

Answer:

stem: 5

leaf: 0, 6

stem: 6

leaf: 0, 2, 5, 6

stem: 7

leaf: 1, 5

stem: 8

leaf: 6

stem: 9

leaf: 9

i hope this helps <3

Step-by-step explanation:

Answer:

1. Zero Slope

2. Negative Slope

3. Negative Slope

4. Undefined Slope

Step-by-step explanation:

Answer:

28.46in

Step-by-step explanation:

C=2πr

C=2π*4.53

C≈28.46in

Answer:

the 100th term would be 193

Step-by-step explanation:

5-(n-1) times 2

5-99 times 2

5-198

193

I hope this helps

The Answer isssssssss  x<6

Answer:

Step-by-step explanation:

Combine your like terms!

Hope this helps!