Write 5.48 as a mixed number in simplest form.
5.48=

Answer:

611 miles max

Step-by-step explanation:

250 = 0.09x + 195

-195               -195

  55    = 0.09x

/0.09     /0.09

x=611.11111111111

because of the context of the question, you'd have to round up

x = 611

Hope this helps! If you have any questions ask! :)

Answer:

Babatunde weigh on the Moon would be 124.8 N

Step-by-step explanation:

* The wight of an object on the earth is mg , where m is the the

  mass of the object in kg and g is the acceleration of gravity which

  is 9.8 m/s²

* The mass of an object on earth is the same as the mass of the

  same object on the moon but the weight of the object on the

  earth is different from the weight of the same object on the

  moon because the gravity on the earth different from on the moon

* The wight on the moon is mg , where m is the the mass of the

  object in kg and g is gravitational field strength on the Moon

  which is 1.6 N/kg

∵ Babatunde has a mass of 78 kg

∵ The mass on the moon = the mass on the earth

∵ On the moon the gravitational field strength is 1.6N/kg

∵ Weight = mg

∴ Babatunde weigh = 78 × 1.6 = 124.8 N

* Babatunde weigh on the Moon would be 124.8 N

Babatunde's weight on the Moon is calculated by multiplying his mass (78 kg) by the Moon's gravitational field strength (1.6 N/kg), resulting in 124.8 newtons.

To calculate Babatunde's weight on the Moon, we use the formula for weight, which is the product of mass and gravitational field strength. On Earth, the average acceleration due to gravity is approximately 9.8 m/s², and on the Moon, it is about 1.6 N/kg. Babatunde's mass on Earth is 78 kg. Therefore, to calculate his weight on the Moon, we multiply his mass by the Moon's gravitational field strength.

Weight on the Moon = Mass × Gravitational field strength on the Moon

Weight on the Moon = 78 kg × 1.6 N/kg

Weight on the Moon = 124.8 N

Babatunde would weigh 124.8 newtons on the surface of the Moon, significantly less than his weight on Earth due to the Moon's lower gravitational pull.

Answer:

15

Step-by-step explanation:

5÷1+3+7

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

5÷1= 5, then 5+3=8, then 8+7= 15

7.0717 million

Lets see:

1 million = 1.000.000

So, 7.0717 million = 7.071.700

7.071.700 can be read as "seven million seventy one thousand and seven hunred"

If you wanna split it you can split in

seven million = 7 million

seventy one thousand = 71 thousand

seven hundred = 7 hundred

Answer:

four hundred and fifty six thousand six hundred and ninety eight

Answer:

60% is the answer

Step-by-step explanation:

it becomes 3/5 then 6/10 and 6/10 = 60%

Answer:

8%

Step-by-step explanation:

Answer:

Quadrant IV

Step-by-step explanation:

The points (x,y) such that

y < 0 and x>0, i.e. quadrant IV of the plane.

Answer:

76

Step-by-step explanation:

When you solve the equation you will do parentheses first (10+2) which equals 12 then you carry everything down. Next you will multiply 3 x 12 to get 36 then you carry the 20 and  2 down. Next you will multiply 20 by 2 to get 40 and then add 36 + 40 to get 76.

3(10+2) +20 x 2

3(12) +20 x 2

36 + 20 x 2

36 + 40

76 : answer

The expression 3⋅(10+2)+20⋅2 simplifies to 76.

The given expression is [tex]$$3 \cdot (10+2) + 20 \cdot 2[/tex]

Let's simplify it step by step:

1. First, perform the operation inside the parentheses: [tex]3 \cdot 12 + 20 \cdot 2[/tex]

2. Then, perform the multiplication: [tex]36 + 40[/tex]

3. Finally, perform the addition: [tex]76[/tex]

So, the expression is equal to 76.

Answer:

The combined length is 61 inches

Step-by-step explanation:

we know that

To find out the combined length of all the pieces Meg measured, multiply each measure by the number of pieces and then sum all the values

Let

x -----> the combined length

we know that

we have

1 piece of 3 inches

2 pieces of 5 inches

3 pieces of 6 inches

3 piece of 7 inches

1 piece of 9 inches

so

[tex]x=(1)(3)+ (2)(5)+(3)(6)+(3)(7)+(1)(9)\\x=3+10+18+21+9\\x=61\ in[/tex]

therefore

The combined length is 61 inches

Answer:

11

Step-by-step explanation:

So, we can say that

3 × X - 3 = 30

3 × X = 30+3

3 × X = 33

X = 33/3

X = 11

Answer:

(6y + 1) (6y - 1)

Step-by-step explanation:

The binomial can be factored using the difference of squares formula.

:)

Completely validate answer:)

Answer:

SI=PTR/100

SI=2129*6*1.91/100

SI=24398.34/100

SI=243.9834$

The simple interest will be equal to $243.9834

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Given that:-

principal (p) = $ 530

Interest Rate (R) = 6%

Time (T) = 1 year

Simple Interest = I

The formula to calculate the simple interest is given below:-

Simple Interest (I)= P× T× R/ 100

SI = PTR/100

SI = (2129 x 6 x 1.91) / 100

SI = 24398.34/100

SI = 243.9834$

Therefore, the simple interest will be equal to $243.9834

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Answer:

The possible dimensions of the region are

52 ft by 16 ft

32 ft by 26 ft

Step-by-step explanation:

Let

x -----> the length of the rectangular region

y ----> the width of the rectangular region

we know that

The perimeter of a rectangle is equal to

[tex]P=2(x+y)[/tex]

Remember that

A kennel owner wants to subdivide  this region into three smaller rectangles of equal  length

so

we also have to take into account the divisions

[tex]P=2(x+y)+2y[/tex]

[tex]P=2(x+2y)[/tex]

we have

[tex]P=168\ ft[/tex]

[tex]168=2(x+2y)[/tex]

simplify

[tex]84=(x+2y)[/tex] -----> [tex]x=84-2y[/tex] -----> equation A

The total area to be enclosed is 832 ft^2

The area is equal to

[tex]A=xy[/tex]

so

[tex]832=xy[/tex] ----> equation B

substitute equation A in equation B

[tex]832=(84-2y)y[/tex]

[tex]832=84y-2y^2[/tex]

[tex]2y^2-84y+832=0[/tex]

Solve the quadratic equation by graphing

The solution are y1=16 ft, y2=26 ft

see the attached figure

For

[tex]y=16\ ft\\x=84-2(16)=52\ ft[/tex]

For

[tex]y=26\ ft\\x=84-2(26)=32\ ft[/tex]

therefore

The possible dimensions of the region are

52 ft by 16 ft

32 ft by 26 ft

Answer:

multiplied

Step-by-step explanation:

Answer:

If a scale factor is greater than 1, then your figure gets bigger.

Step-by-step explanation:

For scale factors, you are multiplying the scale factor to get the desired outcome. If the scale factor is greater than 1, you are multiplying by a whole number, which would be ≥ the original number. If the scale is 1, then it would be = too the original number. If the scale factor is a fraction, then the figure would be scaled down.

~

Answer:

B - 16466

C - 13362

total value - 35170

Step-by-step explanation:

to find B add 11124 to 5342 (11124+5342=16466)

to find C subtract 3104 from 16466 (16466-3104=13362)

total value - add them all together

Answer:

ANS IS 2m

Step-by-step explanation:

we can solve it by using coordinate geometry

Answer:

Height of the bottom seats is 2 meter.

Step-by-step explanation:

It has been given in the question seats are located on a slope having gradient [tex]\frac{1}{2}[/tex]

We have to find the height h of the bottom seats.

Since gradient = [tex]tan\theta=\frac{1}{2}[/tex]

Therefore, from the figure attached,

[tex]tan\theta =\frac{(12-h)}{20}[/tex]

[tex]\frac{1}{2}=\frac{(12-h)}{20}[/tex]

12 - h = [tex]\frac{20}{2}[/tex]

12 - h = 10

h = 12 - 10

h = 2 m

Therefore, height of the bottom seats if 2 m.

Answer:

-1.4 or -7/5

Step-by-step explanation:

Slope=y2-y1/x2-x1

Your two points are:

(-3,2) and (2,-5)

1) Plug in the values into the slope formula:

(-5-2)/(2--3)

2) Simplify:

-7/5

3) Write as decimal: - Optional

-1.4

The slope of the linear equation in the graph is -7/5.

If a linear equation passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In the graph we can see the two points (-3, 2) and (2, -5)

Replacing that in the formula for the slope we will get:

a = (-5 - 2)/(2 + 3) = -7/5

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Answer: The graph is attached.

Step-by-step explanation:

 We must design a graph so that the x-axis represents the Time in hours and the y-axis represents the Height in feet.

The plane takes off from this point:

[tex]A(0,0)[/tex].

We know that the plane climbs steadily for 30 minutes (which is 0.5 hours) until it reaches 40000 feet. Then, we can identify another point; this is:

[tex]B(0.5,\ 40000)[/tex]

It travels at that altitude for 2 hours (which indicates a horizontal line) and then it begins to descend to land, giving us another point:

[tex]C(2.5\ 40000)[/tex]

This takes 15 minutes (which is 0.25 hours) at a constant rate. Then, we get a final point:

[tex]D(2.75,\ 0)[/tex]

Knowing these points, we can draw the graph (Observe the image attached)

Answer:

for a

the integer 1 will be represented by 1 pm the same day

for b

-2 will be represented by 10 am

for C:

12 midnight will be represented by 0

for D:

the integer 10 will be represented by that .

Using a number line, integers can be used to represent the following given day time in hours as shown in the diagram below:

a. Integer 1 represents 1 P.M.

b. Integer -2 represents 10 A.M.

c. Integer -12 represents 12 midnight.

d. Integer 10 represents 10 P.M.

Recall:

Integers on a number line has been shown below to illustrate how they can represent measure of time in hours if 12 noon is integer 0.

From the image given showing the integers on a number line, the following integers and their respective day time they represent are:

a. Integer 1 represents 1 P.M.

b. Integer -2 represents 10 A.M.

c. Integer -12 represents 12 midnight.

d. Integer 10 represents 10 P.M.

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Answer:

k=8

The problem:

The function y=2x+2 and y=-x+k intersect at the point (2,6).

Find the value of k.

Step-by-step explanation:

(2,6) is a point contained by both y=2x+2 and y=-x+k.

Let's see if it actually on y=2x+2.

x=2,y=6

y=2x+2

6=2(2)+2

6=4+2

6=6 is true so it (2,6) is on y=2x+2.

Now we want k such that (2,6) is on y=-x+k.

6=-2+k

Add 2 on both sides:

8=k

So k=8.

Answer:

k = 8

Step-by-step explanation:

y = 2x + 2    

y = -x + k

2x + 2  = - x +k

3x = k - 2

x= 2 : k-2= 6

k = 8

Answer:

38.5182

Step-by-step explanation:

54 • 0.7133 is 38.5182.

QUESTION:To decrease an amount by 7% what single multiplier would you use?

ANSWER: You want 7% less than 100%, so the answer is (100%-7%)=93% =0.93.

Hope this helped! Enjoy! :)

Answer: C

Step-by-step explanation:

x-3y=5, y=x-7 *solve it

the answer is (8,1)

so..

C. (8,1) is a solution to both equations so it is a solution to the system

The pair (8,1) satisfies both of the given equations, so it is indeed a solution to the system, making option C correct.

For the first equation:

8 - 3(1) = 5
8 - 3 = 5
5 = 5 (True)

For the second equation:

1 = 8 - 7
1 = 1 (True)

Since both equations are satisfied when x is 8 and y is 1, the pair (8,1) is indeed a solution to both equations and therefore a solution to the system.

The range of values for the measurement 300 ±2% is 294 to 306. This involves considering the concept of accuracy and precision in measurements.

The question is asking for the range of measurements that can be made if the measurement is 300 units with a 2% uncertainty. In mathematical terms, an uncertainty of 2% means we can make measurements that are 2% less or 2% more than the given value.

First you must calculate 2% of 300 to find the value representing the uncertainty. This is (2/100) * 300 = 6. Hence, the measurement can be 6 units less than or more than 300.

Therefore, the range of measurements we can make is from (300 - 6) to (300 + 6). This results in a range of 294 to 306.

This concept is grounded in accuracy and precision. Accuracy describes the close proximity of a measurement to a specific value, while precision relates to the consistency of output using the same measurement process.

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Answer: A beryllium

Step-by-step explanation:

On the given picture, we  have a structure of atom, that has 4 electrons in total in its orbit.

We know that the atomic number= number of protons in it.

⇒ Atomic number of given atom = 4

Since According to the Modern periodic table, The element with atomic number 4 is beryllium.

Hence, the name of the atom shown= beryllium

Answer:

m = 21/16 or 1.325

Step-by-step explanation:

1. 9m/12 - m/12 = 7/8 (find common denominator)

2. 8m/12 = 7/8 (subtract)

3. 64m = 84 (cross multiply)

4. m = 84/64 (solve for m)

5. m = 21/16 (simplify fraction)

~1.325

The value of m is 21/16 or 1.3125.

Given,

3m/4 - m/12 = 7/8

We have to solve for m step by step.

We have,

3m/4 - m/12 = 7/8

Step 1.

Find LCM between 4 and 12 and make 3m/4 and m/12 into one fraction.

LCM of 4 and 12 = 12

( 3 x 3m - m ) / 12 = 7 / 8

( 9m - m ) / 12 = 7 / 8

8m / 12 = 7 / 8

Step 2.

Multiply both sides by 12.

12 x 8m/12 = 12 x 7/8

8m = ( 12 x 7 ) / 8

8m = 84 / 8

Step 3.

Dividing 8 into both sides.

8m/8 = 84 / (8 x 8)

m = 84 / 64

m = 4 x 21 / 4 x 16

m = 21 / 16 or m = 1.3125

Thus the value of m is 21/16 or 1.3125.

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Answer:

6.5 feet is correct yes

Step-by-step explanation:

Answer:

a=200

b=80

I think this would be the answer

if not im sorry.

Using the principle of inclusion-exclusion, we determine that 80 employees use both work and private emails for correspondence. There are 120 employees in violation of company policy to use only their company email for business correspondence.

To solve the question, we can use the principle of inclusion-exclusion. First, we need to find the total number of people who use at least one type of email (work or private). Then we subtract the total number of people who use both to find those who are in violation of company policy.

Part (a)

Let A be the number of employees using work email, B be the number using private email, and C be the number not using email at all.

We know that A = 280, B = 200, and C = 40. We also have a total T = 400 employees.

Employees using both work and private email, represented as AB, can be found by: T - (A + B + C).

AB = 400 - (280 + 200 + 40)

AB = 400 - 520

AB = -120

However, since we cannot have negative users, this means that AB must be equal to 280 + 200 - 400 = 80. Therefore, 80 employees use both their work and private email for correspondence.

Part (b)

To find out how many are in violation of the policy, we just consider the number using private emails, minus those who use both emails (because they also use company email).

Violation = B - AB

Violation = 200 - 80

Violation = 120

Thus, there are 120 employees in violation of company policy regarding email use.

Answer:

cscwwp

Step-by-step explanation: