What is the difference between Susan’s and Jim’s lawn-care businesses in the amounts they charge for 10 hours of work?

Answer:

t = 4.5

Step-by-step explanation:

1.8 = 0.4(t) solve for t

Answer:

12 yards

Step-by-step explanation:

side b = √(diagonal^2 - side a^2)

Answer:

4 dimes

2 nickels

Step-by-step explanation:

Answer:

4 dimes 2 nickels

Step-by-step explanation:

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.

Step-by-step explanation:

cv

9514 1404 393

Answer:

  524,160

Step-by-step explanation:

Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:

  16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160

_____

The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.

Given :

To find :

Solution :

As it is given that the length of rectangle is 6 m more than the breadth.

Thus, let us consider the Breadth as ''x''.

Then the Length will be ''x+6''.

We know that,

Perimeter of rectangle = 2(l + b)

According to Question,

➠Perimeter of rectangle = 2(x+6+x)

➠60 = 2(x+6+x)

➠60 = 2(x+x+6)

➠60 = 2(2x + 6)

➠60 = 4x + 12

➠60 - 12 = 4x

➠48 = 4x

➠48/4 = x

➠12 = x

______________________

∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.

And the Length of the rectangle will be,

↠x + 6

↠12 + 6

↠18 m

Hence,

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

4[tex]\sqrt{2}[/tex]  +2

Step-by-step explanation:

[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]

=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]

=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]

=6[tex]\sqrt{2}[/tex] + 2 - 2

=4[tex]\sqrt{2}[/tex]  +2

for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,

[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]

     = ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]

     =2 ×[tex]\sqrt{2}[/tex]

Answer:

[tex]B.\ 3[/tex]

Step-by-step explanation:

Given

[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]

Required

Power of term with coefficient of 1

First, we need to identify the variable in the given polynomial

The variable is x

Each term has the following format:

[tex]mx^n[/tex]  where [tex]n \ge 0[/tex] and m is the coefficient

In this case, we are to look for n where m = 1

Looking at each term of the polynomial, we have the following match:

[tex]mx^n = x^3[/tex]

Substitute 1 for m

[tex]1 * x^n = x^3[/tex]

[tex]x^n = x^3[/tex]

By comparison:

[tex]n = 3[/tex]

Hence, the solution to this question is (B)

Answer:

-21°C

Step-by-step explanation:

Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.

(sorry if this is confusing but I hope this helped)

Answer:

option D

Step-by-step explanation:

In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°

Hypotenuse = m ; Perpendicular = n ; Base = 4

Side opposite to 60° = Base

Side adjacent to 60° = Perpendicular

Side opposite to 30° = Perpendicular

Side adjacent to 30° = Base

So,

[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]

[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]

[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]

Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]

Also,

[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]

[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]

[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]

Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]

Answer:

200 pages

Step-by-step explanation:

( number of pages) ×(2/5) = 80

Number of pages = 80 ÷(2/5)

Number of pages = 200

Answer:

$38.66

Step-by-step explanation:

Answer: x + 16y

Step-by-step explanation:

multiply 4 to x+ 2y

4x + 8y - 3x + 8y (open the bracket)

x + 16y

Answer:

x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)

we open the brackets and the sign of the second bracket changes

4x+8y-3x+8y

we group x's and y's

x+16y

Answer:

The answer is B

Step-by-step explanation:

Lol I just had this same question on edge 2021 (◕‿◕✿)

Answer:

It Is B, x-6.

Step-by-step explanation:

I Just Did The Unit Test Review (ﾉ◕ヮ◕)ﾉ*.✧

Answer:

24

Step-by-step explanation:

you divide 16 by the decimal form of 2/3 (0.66666666666666666666666...) and you get your answer, 24.

I hope this helped :))

Answer:

24

Step-by-step explanation:

you divide 16 by the decimal form of 2/3

you get 24.

Answer:

200 CDs

Step-by-step explanation:

1000 g = 1 kg

2 kg = 2000 g

2000 / 10 = 200 CDs :D

Answer:

P(X = 7) = 0.11712

Step-by-step explanation:

From the information given:

Average no. of claims received per week λ = 9

The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:

[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]

[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]

[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]

[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]

P(X = 7) = 0.11712

Answer:

n = 6

Step-by-step explanation:

[tex](2.4 \times {10}^{3} ) \times (3 \times {10}^{n} ) = 7.2 \times {10}^{9} \\ \\ (2.4 \times 3 \times {10}^{3 + n} ) = 7.2 \times {10}^{9} \\ \\ 7.2 \times {10}^{3 + n} = 7.2 \times {10}^{9} \\ \\ {10}^{3 + n} = {10}^{9} \\ \\ 3 + n = 9 \\ \\ n = 9 - 3 \\ \\ n = 6[/tex]

Step-by-step explanation:

The HCF of 28 and 40 is 4, and the LCM is 280.

Step-by-step explanation:

this is the answer..........

Answer:

7,24,25

3,4,5

Step-by-step explanation:

1. Let assume the three sides of a right triangle are A,B and C, and C is the longest side

2. For the definition of a right triangle, [tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]

3. For all the sets listed, only these two sets meet the definition.

Answer:

3.4.5, 2.3.3, and7. 24. 25

Step-by-step explanation:

Answer:

the domain is that x is a set of real numbers.

the range is y ≤ -3

Step-by-step explanation:

y = -|x + 3|

y is either positive or equal to zero.

Now, x is all real numbers because any value of x used will yield a valid value of y.

Thus, we can say that the domain is that x is a set of real numbers.

Now, for the range:

The minus sign in front of the absolute value indicates that the function has a maximum value.

Thus, the range is y ≤ -3

Answer:If you use quadratic formula the answer is (rounded) 2.88s

Step-by-step explanation:

Answer:

2.882491 seconds

Step-by-step explanation:

H=156-8t-16t²

-16t²-8t+156=0

16t²+8t-156=0

4t²+2t-39=0

t=2.882491 seconds ................

Step-by-step explanation:

a fraction of it and the regular answer it is 33.

Answer:

34

Step-by-step explanation:

19.43 will round to 19

11.5 will round to 12 and

3.08 will round to 3

I hope this helps

Answer:

105 is the part.

Step-by-step explanation:

175 is the whole

60% is the percent

x is the part

175 * 0.60 = 105

Answer: Capitalism

Step-by-step explanation:

hope it helps

Answer:

1:4

Step-by-step explanation:you can simplify the ratio by finding the LCM on both sides and dividing the number by the lcm in which this case is 15.

15/15=1

60/15=4

so 1:4

The answer to the question is 1:4

Step-by-Step explanation:

We have to divide each number over here by the LCF of 15.

The LCF (Least Common Factor) of 15 is 5.

Given the LCF of 15 is 15, we will divide both given numbers by 15.

[tex]\text {60 / 15 = 4 and 15 / 15 = 1}[/tex]

We will put the numbers back in order from least to greatest.

The ratio we find is 1:4, and the answer to your question is 1:4.

Carry on Learning!

Answer:

$406

Step-by-step explanation:

The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.

It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.

His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=  

$406

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