Harold walks 3/4 mile in each 5/6 hour. Calculate Harold's unit rate. Explain how you found your answer.

Answers

Answer 1
Answer: To solve this problem, you must apply the proccedure shown below:

 1. The problem gives the following information: Harold walks 3/4 miles in each 5/6 hours. Therefore, you have to divide  3/4 miles by 5/6 hours, as below:

 unit rate=(3/4)(5/6)
 unit rate=(3x6)(4x5)
 unit rate=18/20 

 3. When you simplify, you obtain:

 unit rate=9/10

 4. Therefore, as you can see, the answer is: Harold's unit rate is 9/10.

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A square field had 3 m added to its length ad 2 m added to its width. The field then had an area of 90 m squared. Find the length of a side of the original field.

Answers

Answer:

The length of a side of the original field  = 7 m.

Step-by-step explanation:

Here, the initial field is in form of a square.

Let us assume the side of the original square field = k meters

Now, the new length of the field = ( k + 3)  m

The new width of the field = ( k + 2) m

So, the new field is now a rectangle with area  = 90 sq. m

AREA OF A RECTANGLE  = LENGTH x WIDTH

Here, the area of the new field  =  New length x new width

                                                      =   ( k + 3) x ( k + 2)

90   =   ( k + 3) * ( k + 2)\n\implies k^2 + 2k + 3k + 6 = 90\nor, k^2 + 5 k - 84 = 0\n\implies k^2 + 12k - 7k -84 = 0\nor, k (k+12) -7(k+12) = 0\n\implies (k+12)(k-7) = 0

⇒ either (k +12) = 0 ⇒  k = -12

or, ( k-7) = 0 ⇒  k = 7

But, here k = SIDE OF A FIELD, and it CANNOT be negative.

⇒  k = 7

Hence, the length of a side of the original field  = 7 m.

Final answer:

To find the length of a side of the original field, you can solve the equation for the area of the expanded field.

Explanation:

To find the length of a side of the original field, we need to solve the equation for the area of the expanded field. Let's assume the original length of the square field is x meters. After adding 3 meters to its length and 2 meters to its width, the new length becomes (x+3) meters and the new width becomes (x+2) meters. The area of the expanded field is (x+3)(x+2) square meters, and it is given that this area is equal to 90 square meters. So, we have the equation (x+3)(x+2) = 90.

Next, we can solve this quadratic equation for x by factoring or using the quadratic formula. Once we find the value of x, we will have the length of a side of the original field.

Learn more about Quadratic equations here:

brainly.com/question/30098550

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A prism has the surface area of 100 cm². What sentence describes the effect of measuring the surface area in square millimeters?A. The Surface area increases

B. The Surface area decreases

C. The surface area stays the same, but the number representing the surface area increases.

D. The surface area stays the same, but the number representing the surface area decreases.

Answers

Answer:

 A. The surface area stays the same, but the number representing the surface area increases.

Answer:

C

Step-by-step explanation:

1 gallon = 4 quarts1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces

How many ounces are in 4 gallons?
A) 32 ounces
B) 64 ounces
C) 256 ounces
D) 512 ounces

Answers

From Conversion of units, there are Option(D) 512 ounces in 4 gallons.

What ounces are there in 4 gallons ?

Given information -

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 ounces

Thus we have from conversion of units,

2 cups = 16 ounces.

2 pints = 2*16 = 32 ounces

4 quarts = 32*4 = 128 ounces

Given that 4 quarts = 1 gallon

Thus 4 gallons = 16 quarts = 4 * 128 = 512 ounces.

Therefore, from Conversion of units, there are Option(D) 512 ounces in 4 gallons.

To learn more about Conversion of units, refer -

brainly.com/question/141163

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4 gallons= 512 ounces

Answer:D

two unidentified flying discs are detected by a receiver, the angle of elevation from the receiver to each disc is 38.48 degrees. The discs are hovering at a direct distance of 826metres and 1.296km from the receiver. Find the difference in height between the two flying discs.

Answers

Answer:

292.45 m

Step-by-step explanation:

Both disk are at an angle of 38.48°

From the image below we calculate as,

For disk B, direct distance is 1.296 km from receiver = 1296 m

Vertical height from ground will be = 1296 x sin38.48 = 806.42 m

For disk A, direct distance is 826 m from receiver

Verival height above ground = 826 x sin38.48 = 513.97 m

Difference in height between disks is 806.42 - 513.97 = 292.45 m

Sarah started with 50 dollars in her bank account. Each month, she puts 25 more dollars in her account. The amount of money in dollars D in her account is given by D = 25m + 50 where m is the number of months she has added 25 dollars to her account.How much money will be in Sarah’s account after 8 months?

A.
$82

B.
$200

C.
$250

D.
$300

Answers


D=25m+50

D=(25)(8)+50

D=200+50

D=250

There will be $250 after 8 months.

The answer is C.$250

Is 1/3 greater than 2/7

Answers

1/3 is greater  than 2/7 because   if  you put them the same denominator in  this case it would be 21 you would multiply 1/3 by 7 and 2/7 by 3 so 1/3 would be 7/21 and 2/7 would be 6/21 so  yes 1/3 is   greater than 2/7