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3 years ago

Write 4.25% as a fraction in simplest form.

Mathematics

1 answer:

Makovka662 [10]3 years ago

3 0

Percent means parts out of 100
x%=x/100
4.25%=4.25/100=425/10000=85/2000=17/400

answer is 17/400

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The Oregon trail is 2.197 miles long. How long would it take a covered wagon travelling 20 miles a day to complete the trip? Wri

Bess [88]

Answer: It needs 2.4 hours to complete the trip.

Step-by-step explanation:

Since we have given that

Length of Oregon trail = 2.197 miles

Speed at which it travel = 20 miles per day

we need to find the time taken by it ,

As we know that

$Time=\frac{Distance}{Speed}$

$Time=\frac{2.197}{20}\\\\Time=0.10\text{ days}$

So,

it will be changed into hours

$1\text{ day}=24\text{ hours}\\\\0.1\text{ day}=24\times 0.1=2.4\text{ hours}$

so, it needs 2.4 hours to complete the trip.

3 0

3 years ago

1) You are designing a new kiddie soccer arena. The area of the rectangular

nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

$\text{Area} = \text{length}\times \text{width}$

The area of a rectangular field is, <em>A</em> = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

$\text{Area} = \text{length}\times \text{width}$

$60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\$

Factorize the last equation by splitting the middle term as follows:

$w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0$

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

= 5 + 7

= 12

The length of the rectangular field is 12 ft.

7 0

3 years ago

I need help with 33 and 34

kenny6666 [7]

EDIT: Picture

33) When adding matrices, just add the numbers that are in the same spot. In this problem we are given A and C, and we are asked to find B if A + B = C

So B = C - A

$\left[\begin{array}{ccc}2&-1&-3\\1&4&-2\\\end{array}\right]$ - $\left[\begin{array}{ccc}4&9&-2\\-3&5&7\\\end{array}\right]$ = $\left[\begin{array}{ccc}-2&-10&-1\\4&-1&-9\\\end{array}\right]$

34) When multiplying matrices, the number of columns in the first matrix needs to be the same as the number of rows in the second matrix. Then the outcome will have the same number of rows as the first matrix and same number of columns as the second matrix. In this case, the result will be a 2x2.