If Martha earns $6.50 per hour for babysitting, how much will she earn in: 1.5 hours? 2.5 hours? 3.5 hours?

Answers

Answer 1
in 1.5 hours she will get 9.75 
in 2.5 hours he will get 16.25
and in 3.5 hours she will get 22.75 
Answer 2

Martha earns $6.50 per hour, so for 1.5 hours, she will earn $9.75; for 2.5 hours, she will earn $16.25; and for 3.5 hours, she will earn $22.75. We simply multiply her hourly wage by the number of hours to find the total earnings for each duration.

If Martha earns $6.50 per hour for babysitting, we can find out how much she will earn for different numbers of hours by multiplying her hourly rate by the number of hours worked.

For 1.5 hours: $6.50 * 1.5 = $9.75For 2.5 hours: $6.50 * 2.5 = $16.25For 3.5 hours: $6.50 * 3.5 = $22.75

As a result:

Martha will earn $9.75 for 1.5 hours of babysitting.Martha will earn $16.25 for 2.5 hours of babysitting.Martha will earn $22.75 for 3.5 hours of babysitting.


Related Questions

Suppose you buy a car with a value of $9,250. Each year the value of your car will depreciate by 5.1%. How much will your car be worth in 8 years?

Answers

9250*0.051*8=3774,,9250-3774=5476

Final answer:

To calculate the value of the car in 8 years with a constant yearly depreciation rate of 5.1%, we can use the formula for compound interest.

Explanation:

To calculate the value of the car in 8 years, we can use the formula for compound interest: A = P(1 - r/n)^(nt), where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, the initial amount is $9,250, the interest rate is 5.1%, and the number of times interest is compounded per year is 1. Plugging these values into the formula, we get:

A = 9250(1 - 0.051/1)^(1*8) = $6630.27

Therefore, the car will be worth approximately $6,630.27 in 8 years.

The LCM of 50, 120, and 225 is 5. true or false?

Answers

Its false because,
50=2x5x5
120=2x3x4x5
225=3x3x5x5
LCM=2x3x3x4x5x5=1800.

Answer:

Its false

Step-by-step explanation:

well first i pt the answer in and it came out correct.

50 coins is worth $5.20. There areally 12 more nickels and dimes, and the rest Andre quarters. How many coins of each type are there?

Answers

x + y + z = 50
x + y = 38
x = 38 - y
z = 12

0.05x + 0.10y + 0.25 (12) = 5.20
0.05x + 0.10y + 3.00 = 5.20
0.05x + 0.10y = 2.20


0.05 (38 - y) + 0.10y = 2.20
1.90 - 0.05y + 0.10y = 2.20
0.05y = 0.30
y = 6

0.05x + 0.10 (6) = 2.20
0.05x = 1.60
x = 32

32 nickles
6 dimes
12 quarters


You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money from the account. How much money will be in the account after 4 years?

Answers

A=2000(1+0.05)^4=2,431.01

Answer:

A=2000(1+0.05)^4=2,431.01

Step-by-step explanation:

Find the numerical value of cosh (ln5)

Answers

Final answer:

The numerical value of cosh(ln5) is 2.55, obtained by using the hyperbolic cosine function definition and the properties of exponential and logarithmic functions.

Explanation:

The question asks you to find the numerical value of cosh (ln5). This involves using hyperbolic trigonometry functions, specifically the hyperbolic cosine function.

The hyperbolic cosine, represented by 'cosh', is a mathematical function whose definition is similar to the ordinary trigonometric cosine function. However, it is defined using exponential functions rather than angular measure. The general definition is cosh(x) = (e^x + e^(-x))/2.

Using this formula and substituting ln5 for x results in cosh(ln5) = (e^(ln5) + e^(-ln5))/2.

The expression e^(ln5) simplifies to 5 since e and ln are inverse functions.

For the second term, e^(-ln5), we can use the fact that a negative exponent signifies taking the reciprocal, so this simplifies to 1/5.

Therefore, cosh(ln5) = (5 + 1/5)/2 = 5.1/2 = 2.55.

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The solution to cosh (ln5) is obtained by substituting ln5 in the formula of hyperbolic cosine function, which simplifies it to (5 + 1/5)/2 yielding a result of 2.6.

To find the numerical value of cosh (ln5), we need to know the definition of cosh. It is a hyperbolic function defined as cosh(x) = (e^x + e^-x)/2 where e is Euler's number (approximately 2.71828).

So, to find cosh (ln5), we substitute ln5 in place of x in the formula cosh(x) = (e^x + e^-x)/2.

This gives us cosh(ln5) = (e^ln5 + e^-ln5)/2. However, e and ln are inverse functions, so e^ln5 simplifies to 5. Similarly, for e^-ln5, we need to use the property a^-b = 1/a^b to simplify it to 1/5.

Then we just add and divide, yielding cosh(ln5) = (5 + 1/5)/2 = 2.6.

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A local civic theater has 22 seats in the first row and 21 rows in all. Each successive row contains 3 additional seats . How many seats are in thecivic theater

Answers

There are 840 seats in total in Cinema Hall.

What is arithmetic Progression?

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given:

First term, [tex]a_1[/tex] = 22

second row = 22 + 3 = 25

Third row = 25 + 3 = 28

So, the Recursive Formula is

[tex]a_n[/tex] = a + (n-1)d

[tex]a_n[/tex] = 10 + (n-1)3

[tex]a_n[/tex] = 10 + 3n - 3

[tex]a_n[/tex] = 7 + 3n

In 21th rows the seats are

= 7 +3 (21)

= 7 + 63 = 70

Now, to find the number of seats in hall we have to find the sum of seats from row 1 to row 21 using Formula

= n×([tex]a_1[/tex]+ [tex]a_n[/tex])/2

= 21 x (10 + 70) /2

= 21 x 80 /2

= 21 x 40

= 840

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find g'(4) given that f(4)=3 and f'(4) = -5. g(x) = f(x)/x

Answers

g(x) = f(x)/x
g'(x) = (xf'(x) - f(x))/x^2
g'(4) = (4f'(4) - f(4))/4^2 = (4(-5) - 3)/16 = (-20 - 3)/16 = -23/16

simplify completely 5x^2+9x-2/x^2+12x+20*x^2+17x+70/15x-3 ...?

Answers

The solution to the problem is as follows:


5x^2 + 9x - 2 / x^2 + 12x + 20 multiply x^2 + 17x + 70 / 15x - 3 

=[(5x-1)(x+2)]/[(x+2)(x+10)] multiply [(x+7)(x+10)]/[3(5x-1)] 

=(x+7)/3


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Rewrite y = √25-75) + 3 to make it easy to graph using a translation. Describe the graph

A.Rewritten, y = √X-3 + 3. It is the graph of y = √X translated 3 units right and 3 units up.

B. Rewritten, y = √X-3 + 3. It is the graph of y = √X translated 3 units left and 3 units up.

C. Rewritten, y = √X-3 + 3. It is the graph of y = √X translated 3 units left and 3 units up.

D. Rewritten, y = √X-3 + 3. It is the graph of y = √X translated 3 units right and 3 units up.




2. How is the graph of Y=√X) -5 translated from the graph of √X ?

shifted 5 units right

shifted 5 units down

shifted 5 units left

shifted 5 units up

Answers

The answer to number 1 is B.
The answer to number 2 is C.

What percent of 150 is 135?

Answers

135 is 90% of 150, so 90% is the answer
yes it's ans should be 90%

9x^2-y^2=1
(a) find y' by implicit differentiation
(b) Solve the equation explicitly for y and differentiate to get y' in terms of x
(c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a)

Answers

9x^2 - y^2 = 1

a.) 18x - 2y dy/dx = 0
2y dy/dx = 18x
dy/dx = 9x/y

b.) y^2 = 9x^2 - 1
y = √(9x^2 - 1)
y' = 9x / √(9x^2 - 1)

c.) substituting y = √(9x^2 - 1) into solution for part a gives
dy/dx = 9x / √(9x^2 - 1)
Thus the two solutions are consistent.
What is differentiation?

Finding the rate of change in something with respect to something is known as differentiation. For Example, Change in y with respect to x is known as the derivative of y with respect to x.

How to solve it?

(a) [tex]9{x}^2-{y}^2 = 1[/tex]

Differentiating equation with respect to x :

[tex]9*2x - 2y\frac{dy}{dx} = 0\\ 18x = 2y\frac{dy}{dx}\\9\frac{x}{y} =\frac{dy}{dx}[/tex]

(b)

[tex]9{x}^2-{y}^2 = 1\\9{x}^2-1 = {y}^2 \\\sqrt[2]{9{x}^2-1} = y\\[/tex]

differentiating with respect to x gives:

[tex]\frac{1}{2\sqrt{9{x}^2-1} } *(18x) = \frac{dy}{dx}\\\frac{1}{\sqrt{9{x}^2-1} } *(9x) = \frac{dy}{dx}[/tex]

(c) [tex]9\frac{x}{y} =\frac{dy}{dx}[/tex]

substituting value of y

[tex]\sqrt[2]{9{x}^2-1} = y\\\\\frac{9x}{\sqrt[2]{9{x}^2-1}} = \frac{dy}{dx}[/tex]

Hence the solution is consistent.

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Can someone answer the questions on the sheet for me please?

Answers

1)a)20+20*0.15,,20+3=23,,c)810-810*0.05=769.5

15-28i=3l+(4m)i solve ...?

Answers

Final answer:

To solve the equation 15-28i=3l+(4m)i, separate the real and imaginary parts of the equation and solve for l and m separately.

Explanation:

To solve the equation 15-28i=3l+(4m)i, we can separate the real and imaginary parts of the equation. The real part is 15, and the imaginary part is -28. Similarly, the real part of the right side is 3l and the imaginary part is 4m. Equating the real parts and imaginary parts separately, we get two equations: 15 = 3l and -28 = 4m. Solving these equations will give us the values of l and m.

In the first equation, dividing both sides by 3 gives us l = 5. In the second equation, dividing both sides by 4 gives us m = -7.

Therefore, the solution to the equation 15-28i=3l+(4m)i is l = 5 and m = -7.

please help with this #15

Answers

The answer is 4 ,,y represents the future value of money

Guys i need help. My niece has come over my house and she need help with this question any help?

Loves from KIM.

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet

Answers

using the Pythagoras theorem,

21²=4²+height²
441=16+height²
425=height²
height=√425=20.6

The ladder reaches a height of 20.6 ft on the building.

Answer:

C

Step-by-step explanation:

I took test on Edg

What is 57 divided by 4241

Answers

The result of dividing 4241 by 57 is approximately 74.40.

To divide 4241 by 57, we perform the division as follows:

       74

  ____________

57 | 4241

    - 3996

    _______

       245

      - 228

      ______

        170

       -  171

       ______

            -1

The quotient is 74 with a remainder of 1.

Therefore, [tex]\( \frac{4241}{57} = 74 \)[/tex].40 with a remainder of 1.

Complete question:

What is 4241 divided by 57?

I HAVE 5 MATH QUESTIONS AND NEED HELP ASAP! ONLY COMMENT IF YOU ARE GOING TO HELP.

Answers

I hope this helps you


1) false,true


3) x=3 y=4


4) y= 2. (-1)+3=1

Chandra has 2 liters of a 14% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 7 liters of a 34% solution?

Answers

Since you have 7 liters in all you know that 7 minus 2 is 5.
 
2*14% + 5*x% = 7*34%
0.28 + 5*x% = 2.38
5*x% = 2.38 - 0.28
5*x% = 2.10
x% = 0.42
x = 42%

Chandra must add 5 liters of 42% solution.

Use the relationships in the diagram below to write an equation and solve for X

Answers

a. x^2 + b^2 = c^2  
    x^2 + 18^2 = 30^2
    x^2 + 324 = 900
    x^2 = 900 - 324
    x^2 = 576
    x = sqrt 576
    x = 24 <===

b. (2x + 20) + (2x) + (x) + (3x + 20) = 360
     8x + 40 = 360
     8x = 360 - 40
     8x = 320
     x = 320/8
     x = 40

2x + 20 = 2(40) + 20 = 80 + 20 = 100
2x = 2(40) = 80
3x + 20 = 3(40) + 20 = 120 + 20 = 140

a ball bounces from a height of 2 metres and returns to 80% of its previous height on each bounce. find the total distance travelled by the ball until it stops bouncing a ball bounces from a height of 2 metres and returns to 80% of its previous height on each bounce. find the total distance travelled by the ball until it stops bouncing

Answers

 The solution to the problem is as follows:

We have 2+.8(2) + .8(.8(2)) + .8(.8(.8(2))) + ... = 

2( .8^0 + .8^1 + .8^2 + .8^3 + ... ) = 

2(.8^n -1) / (.8-1) . As n-->infinity, .8^n-->0 giving us 

2(-1)/(-.2) = 2(5) = 10 meters.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:

The distance traveled by the ball until it stops bouncing is:

                                   18 meters

Step-by-step explanation:

It is given that:

a ball bounces from a height of 2 meters and returns to 80% of its previous height on each bounce.

This means that the distance traveled by the ball is the distance it travels by going down as well as coming up on bouncing.

and is given as follows:

[tex]\text{Total Distance}=2+0.8\times 2\ up+0.8\times 2\ down+(0.8)^2\times 2\ up+(0.8)^2\times 2\ down+.....\\\\\text{Total distance}=2+4\times (0.8)+4\times (0.8)^2+4\times (0.8)^3+....\\\\\text{Total distance}=2+4\times [0.8+(0.8)^2+(0.8)^3+......]\\\\\text{Total distance}=2+4\times (\dfrac{0.8}{1-0.8})[/tex]

Since, the formula of infinite geometric progression is:

[tex]\sum_{n=1}^{\infty} ar^{n-1}=\dfrac{a}{1-r}[/tex]

i.e.

[tex]\text{Total distance}=2+4\times (\dfrac{0.8}{0.2})\\\\\text{Total distance}=2+4\times 4\\\\\text{Total distance}=2+16\\\\\text{Total distance}=18\ \text{meters}[/tex]

Which ordered pairs in the form (x,z) are solution to the equation 3x-4y?

Answers

(7, 0) and (11, 3) HOPE THIS HELPED!!  ( ⸝⸝•ᴗ•⸝⸝ )੭⁾⁾

The following curve passes through (3,1). Use the local linearization of the curve to find the approximate value of y at x=2.8. ...?

Answers

d/dx (2 x^2 y + y = 2x + 13) 4xy + 2x^2 y' + y' = 2 4xy + y'(2x^2 + 1) = 2 y' = (2- 4xy)/(2x^2 +1)

ow we can use this in a linear equation for a slope Ty = -5x/8 +5(3)/8 +8/8 = -5x/8 +(15+8)/8 = -5x/8 +23/8 this will gives us an approximation at x=2.8 now

ANSWER:

y ≈ (-10/19)*(2.8 - 3) + 1 = 1 2/19 ≈ 1.105

STEP-BY-STEP EXPLANATION:

y = (2x+13)/(2x^2+1)

y' = ((2x^2+1)*(2) - (2x+13)(4x)) / (2x^2+1)^2

at x=3, this is

y'(3) = (19*2 - 19*12)/19^2 = -10/19

So, your linearization is

y ≈ (-10/19)*(x-3) + 1

At x=2.8, this is

y ≈ (-10/19)*(2.8 - 3) + 1 = 1 2/19 ≈ 1.105

A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. How many bacteria are grown during the 12th hour?

Answers

The answer is 30720

A = P * rⁿ
A - the final population
r - the growth rate
P - the initial number of bacteria
n - the number of hours

We know:
A = ?
r = 2 (it doubles)
P = 15
n = 12

After 11 hours
A(11) = 15 * 2¹²
A(11) = 15 * 2048
A(11) = 30720

After 12 hours
A(12) = 15 * 2¹²
A(12) = 15 * 4096
A(12) = 61440

How many bacteria are grown during the 12th hour?
A(12) - A(11) = 61440 - 30720 = 30720

A triangle has sides of square root of 2 and 3. Which could not be the length of the third side if it is a right triangle?

Answers

Answer:

the root of 13

Step-by-step explanation:

In 0.57 which is the part and which is the whole

Answers

There is no whole number and .57 is the part...

640, 160, 40, 10, ...

Which correctly describe the graph of the geometric sequence? Check all that apply.

The graph will show exponential growth.
The graph will appear linear.
The domain will be the set of natural numbers.
The range will be the set of natural numbers.
The graph will show exponential decay.

Answers

The graph will show exponential decay and The domain will be the set of natural numbers.

Option C and D will apply.

What is a Geometric Sequence ?

A geometric sequence is a sequence of numbers obtained by either  multiplying or dividing by the same value.

The geometric sequence given is

640, 160, 40, 10, ...

Each number is divided by 4

So the nth term will be

[tex]\rm T_n = a_1 r^{n-1}[/tex]

where [tex]\rm a_1 \; is \; the \; first \; term[/tex]

and r is the common ratio

r =(1/4) for this sequence

The function is

[tex]\rm T_n = 640(\dfrac {1}{4})^{n-1}[/tex]

As from the function it can be understood , That The graph will show exponential decay and The domain will be the set of natural numbers.

Option C and D will apply.

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Final answer:

The sequence is a geometric sequence showing exponential decay with a factor of 0.25 (divisible by 4). The graph will show exponential decay and not appear linear. The domain is the set of natural numbers, while the range consists of specific values from the sequence, not all natural numbers.

Explanation:

The sequence given is 640, 160, 40, 10, ..., which is a geometric sequence. We can determine this because each term is obtained by multiplying the previous term by a constant factor.

In this case, each term is divided by 4 to get the next term (160 is 640 divided by 4, 40 is 160 divided by 4, and so on). Therefore, the common ratio r is ¼ or 0.25, which is less than 1.

Now, let’s evaluate the statements provided:

The graph will show exponential decay because the ratio is between 0 and 1, which means the sequence is getting smaller.The graph will not show exponential growth since the terms are decreasing. Exponential growth would require the terms to get larger as the sequence progresses.The graph will not appear linear because the rate of decrease is not constant in terms of subtraction, but rather in division by a factor.The domain of a sequence typically consists of the set of natural numbers since it represents the position of each term in the sequence.The range will not be the set of natural numbers because the terms do not include all natural numbers but rather specific values determined by the geometric sequence.

So, the correct statements are that the graph will show exponential decay and the domain will be the set of natural numbers.

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Triangle LMN is congruent to triangle HIJ. Angle L measures 35 degrees angle M measures 65 degrees and angle H measures 2x + 10 degrees. Find the value of x.

Answers

The way you have written it, Angle I = Angle M
so
2x + 10 = 65
2x = 55
x = 27.5

Answer: The value of x is 12.5°.

Step-by-step explanation:

Since we have given that

ΔLMN ≅ ΔHIJ

So, According to "Congruency rules":

∠L = ∠H  -------------------------------------(1)

∠M = ∠I

∠N = ∠J

∠M = 65° , ∠L = 35° and ∠H = (2x+10)°

From eq(1), we get that

[tex]2x+10=35^\circ\\\\2x=35-10\\\\2x=25\\\\x=\dfrac{25}{2}\\\\x=12.5^\circ[/tex]

Hence, The value of x is 12.5°.

A secant is a line or segment that passes through a circle in one and only one place. True or false?

Answers

False. Secant enters circle in one point and exits circle in other point. There are infinite number of pairs on which that can be done. So there isnt only one pair of places. Just remember that it has to enter and exit circle...

Answer:

false

Step-by-step explanation:

find the median for the given set of data.
0.6, 1.1, 0.87, 2, 0.87, 1.23
a) 0.87
b)0.985
c)1.1

Answers

The answer is B. Put it least to greatest = 0.6, 0.87, 0.87, 1.1, 1.23, 2. Then you take the two middle number, 1.1 and 0.87, and add them. You get 1.97. Then you divide 1.97 by 2. Which equals 0.985

Hope I helped!! :))

evaluate 3X^2-14X-49/X-7
the quotient of the equation is __X+__

Answers

I hope this helps you

Answer:

[tex]3x+7[/tex]

Step-by-step explanation:

[tex]\frac{3x^2-14x-49}{x-7}[/tex]

before dividing this fraction , lets factor the numerator

[tex]3x^2-14x-49[/tex]

Product is -49 and sum is -14, lets break the middle term using factors

[tex](3x^2+7x)+ (-21x-49)[/tex]

Take out GCF from each group

[tex]x(3x+7)-7(3x+7)[/tex]

[tex](3x+7)(x-7)[/tex]

Now we replace the factors in the numerator

[tex]\frac{(3x+7)(x-7)}{x-7}[/tex]

We have (x-7) at the top and bottom , so we cancel it out

[tex]3x+7[/tex]

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