Aiden has a rectangle that is 8 centimeters long by 4 centimeters wide. He wants to divide the rectangle into squares with 1/2 centimeter side lengths. Will Aiden’s plan result in at least 200 squares?

Answers

Answer 1
Answer:

Answer:

128 squares

Step-by-step explanation:

If the rectangle is 8cm long by 4cm wide, the area is:

A=8*4cm^2=32cm^2

The squares have 1/2=0.5cm side length, hence the area of the squares is:

A'=(0.5)cm^2=0.25cm^2

By dividing A between A' you can obtain the number of squares:

n=(A)/(A')=(32cm^2)/(0.25cm^2)=128

hence, the number of sqares that Aiden is able to produce is 128

Answer 2
Answer:

Answer:

No, Aiden's plan will be a maximum of 128 squares

Step-by-step explanation:

We have a rectangle with 8 cm long by 4 cm wide, that is to say

8*4 = 32 squares, but you want to divide the rectangle into 1/2 cm squares, therefore

(8)/((1)/(2))*(4)/((1)/(2))=(32)/((1)/(4))=32*4=128

So Aiden's plan will have to be limited to max 128 squares


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Linda is paid double her normal hourly rate for each hour she works over 40 hours in a week. Last week she worked 52 hours and earned $544. What is her hourly rate? Equation = (use h as variable)
Weekly Rate = $

Answers

Answer:

$837.96

got u bro good luck

Step-by-step explanation:

Final answer:

By setting up an equation based on her hourly work and pay, we find that Linda's hourly rate of pay is $8.5 per hour.

Explanation:

To answer this question, we need to set up an equation based on the information provided. We know that Linda earns a normal hourly rate for her first 40 hours and twice that for the hours she works over 40. The total money she made is $544.

If we define h as her hourly rate, then for the first 40 hours, she earns 40h dollars. For the extra hours (in this case 12), she earns double her normal rate, meaning she earns an additional 2h*12 dollars. Setting up the equation gives us:

40h+2h*12 = 544

Solving this equation will give us the value of h, which is her hourly rate. 40h+24h=544, simplifying this will result in 64h=544. So her hourly rate is 544/64 = $8.5.

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9/8+7/40= and does the answer simplify

Answers

Answer:

1  3/10

Step-by-step explanation:

9/8  +7/40

Get a common denominator of 40

9/8 *5/5 + 7/40

45/40 + 7/40

52/40

Rewriting as

40/40 +12/40

1 + 3/10

1  3/10

Answer:

1 3/10

Step-by-step explanation:

First, you need to get a common denominator:

8x5=40 <-- common denominator

45/40+7/40= 52/40

yes you can simplify it.

your final answer will be: 1 3/10

The only swimming pool at the El Cheapo Motel is outdoors. It is 5.0 m wide and 12.0 m long. If the weekly evaporation is 2.35 in., how many gallons of water must be added to the pool if it does not rain?

Answers

Answer:

946.10 gallons per week

Step-by-step explanation:

1 cm = 0.393701 inch

Width = 5.0m = 196.85 inch

Length = 12.0 m = 472.44 inch

The volume evaporated weekly is given by:

V = L*W*2.35 = 196.85*472.33*2.35\nV=218,550.12\ in^3

Converting to gallons:

1\ gal = 231\ in^3\nV=(218,550.12)/(231)\nV= 946.10\ gal

946.10 gallons of water must be added to the pool each week.

Final answer:

To determine the volume of water evaporated from the pool at the El Cheapo Motel, we converted all measurements to a common unit and calculated the volume of water evaporated. The motel has to add approximately 946.13 gallons of water weekly, considering there is no rain.

Explanation:

To answer this question, we first need to convert the measurements to a common unit. Given that the pool is 5.0 m wide and 12.0 m long (a total area of 60.0 m2) and the weekly evaporation is 2.35 inches, we first convert the inches to meters. Since 1 inch is equal to 0.0254 meters, 2.35 inches equals 0.05969 meters.

Then, we calculate the volume of water evaporated in a week, which is calculated by multiplying the surface area of the pool by the depth of the water evaporated. Hence, it's 60.0 m2 * 0.05969 m = 3.58 m3. As 1 m3 is approximately 264.17 gallons, 3.58 m3 equals 946.1296 gallons approximately.

In conclusion, the El Cheapo Motel needs to add around 946.13 gallons of water to their pool on a weekly basis, if there is no rain.

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Which of the following have a common denominator of 182 1/2 and 4/9
7/10 and 1 3/8
11/18 and 1 3/4
1 5/6 and 7/12

WILL MARK BRAINIEST AND WILL GET 5 STARS

Answers

Answer:

1.) 2(1)/(2) and (4)/(9)

Step-by-step explanation:

To see which have the common denominator of 18, you must convert the mixed factions to improper fractions first, then try to find the LCM. Use a(b)/(c)=(ac+b)/(c)

1.)

2(1)/(2)=(5)/(2)

(5)/(2),(4)/(9)

Find the LCM:

2,4,6,8,9,10,12,14,16,18,20

9,18

They both have the LCM of 18.

:Done

I really really need help the problem is confusing to me


image attached

Answers

Step-by-step explanation:

this is only asking about the functional values.

in what intervals are the functional values going up (when increasing x from left to right), and in what intervals is the functional value going down (again, when increasing x from left to right) ?

and so we see in the graph,

it is increasing (y-values are going up) in

(-infinity, -1], (2, +infinity)

it is decreasing (y- values are going down) in

(-1, 2]

please consider the used types of brackets.

"(", ")" means the corresponding interval end is NOT included.

"[", "]" mags the corresponding interval end is included.

"infinity" is only a concept and not a value, so it can never be included.

and I wanted the intervals to have no overlap. so, I included "-1" in one and excluded it in the connecting interval. the same for "2".

but if your teacher prefers to have the interval ends overlapping, then please change these brackets to "["as needed. it all depends on what your teacher defined for you.

265000 in standard form

Answers

Answer:

2.65×10^5

Step-by-step explanation:

Answer:

2.65 \cdot 10^5

Step-by-step explanation:

265000 can be rewritten as 2.65 \cdot 10^5, since the decimal place moved 5 to the left. Hope this helps!