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1.Hannah walked the same number of miles each day for 5 days. Let m represent the total number of miles Hannah walked. Write a l

mamaluj [8]

1) Given m represent the total number of miles Hannah walked.

Let us assume Hannah walked x miles each day.

So total number of miles Hannah walked in 5 days is m=5x.

2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.

If d is the number of days the book drive, total number of books they brought

=total number books brought by Jimmy+ total number of books brought by Peter

= 2d+4d = 6d

3) Given that c represent cost of the clothes.

Then 30% discount = 0.3c

Hence cost of the clothes = c-0.3c = 0.7c

4) Given c represent the cost of their meal before tipping.

And tip is 15% of the cost.

Hence tip = 0.15c

Hence total bill = c+0.15c=1.15c

5) Given that Tommy had 40$ in his pocket.

And pair of pants cost 37$ with 10% sales tax.

Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$

Hence Tommy cannot afford the pants with 40$ in his pocket.

For following problems, we should group the like terms together and then simplify.

6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4

7) 5x+7-(3x-4) = 5x+7-3x+4 = (5x-3x)+7+4 = 2x+11

8) (x-2)-(-4x+1)=x-2+4x-1 = (x+4x)-2-1 = 5x-3

8 0

3 years ago

How do you write 6/25 as a decimal

shtirl [24]

Answer:

0.24

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

4 letters are typed, without repetition. What is the probability that all 4 will be vowels? Write your answer asa percent. Round

Marysya12 [62]

There are 26 letters in the alphabet, 5 are vowels, therefore, the probability of choosing a vowel the first time is:

$\frac{5}{26},$

and the second time is:

$\frac{4}{25}\text{.}$

Continuing with this reasoning, we get that the probabilities each time are:

$\frac{5}{26},\frac{4}{25},\frac{3}{24},\frac{2}{23}\text{.}$

Finally, the probability that you get all vowels is the product of the probabilities:

$\frac{1}{2990}\text{.}$

Writing the above result as a percentage we get:

$0.033\%.$

Answer:

$0.033\%\text{.}$

3 0

1 year ago

In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree

Dmitriy789 [7]

$72^{\circ}$

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

$\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}$

Thus, the centra angle of that shaded area is 72º

6 0

1 year ago

Question 2A car dealership has several options for purchasing a new car which includes 7 colours, 6 interior styles, 4 wheelscov

Damm [24]

Answer:

2016 possible combinations

Step-by-step explanation:

7 x 6 x 4 x 4 x 3 = 2016

When finding available combinations, you just take all your numbers with the different options and multiply them :)

6 0

3 years ago