Use the table to add 287 + 56 vertically. The top row will be for regrouping (numbers that are "carried"). The bottom row will be
for your answer. The addends have already been filled in for you.

Answer:

It takes him 1 minute and 25 seconds

Step-by-step explanation:

5 ÷ 4 = 1.25

The number of laps per minute is 1.25 laps.

Given that, time = 4 minutes and the number of laps = 5.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

Number of laps per minute = Total number of laps/Number of minutes

= 5/4

= 1.25 laps

Therefore, the number of laps per minute is 1.25 laps.

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The interest amount is $622.85

The given parameters are:

The interest amount is calculated as:

I = P(1 + r/n)^(nt) - P

This gives

I = 1000 * (1 + 4.5%/1)^(1 * 11) - 1000

Evaluate the products and the quotient

I = 1000 * (1 + 0.045)^(11) - 1000

Evaluate the sum

I = 1000 * (1.045)^(11) - 1000

Solve

I = 622.85

Hence, the interest amount is $622.85

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Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Answer:

  see attached

Step-by-step explanation:

The legs of the right triangles are drawn along the grid lines. You can count the grid lines to see how long they are. Use the given formula to find the square of the hypotenuse, then take the square root. The hypotenuse of each triangle is the straight-line distance between its end points.

It should be no surprise that 3^2 +4^2 is more than 3^2 +3^2, so the length from B to C will be longer than from A to C.

_____

Additional comment

3√2 ≈ 4.24

Using basic operations, it is found that you have 12 eggs.

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Answer:

In ΔUVW, the measure of ∠W=90°, WV = 39, UW = 80, and VU = 89. What ratio represents the cosine of ∠U? Therefore, the ratio that represents the cosine of ∠U is 39/81.

Step-by-step explanation: hope this helps

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

Answer:

B

D

D

Step-by-step explanation:

please verify and rate 5 stars and say thank you

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

After going through the statement in the question, the number of each colored ornament Nick have is 3.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

There are three colors.

We can infer that there are 3 ornaments of each color because there are 6 ornaments for each of the other two colors.

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In the excerpt, Li's crush gave his girl   friend a rose. The text states: Li's crush gave his girl   friend a rose. She was so happy!

Li's mother was upset about the gift later because she thought it was too expensive.

The text states: Li's mother was upset when she found out how much the rose cost. She thought it was too much money to spend on a gift.

Li's mother's reaction is understandable. Roses are expensive flowers, and it is possible that Li's mother did not have the money to spend on such a gift. However, it is also important to remember that Li's crush was trying to do something nice for his girl friend, and the rose was a symbol of his love for her. In the end, it is up to Li and his girl friend to decide whether or not the rose was worth the money.

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Answer:

20

Step-by-step explanation:

4 + \((m-n)^{4}\) ← substitute m = 7 and n = 5 into the expression

= 4 + \(7-5)^{4}\)

= 4 + \(2^{4}\)

= 4 + 16

= 20

The circumference of the circle is equal to

C=2pir

we have

C=100.48 m

substitute

100.48=2pir

Remember that

D=2r

so

100.48=piD

D=100.48/pi

we have that

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Answer:

3/4 ratio

Step-by-step explanation:

This is the answer

Answer:260000

Step-by-step explanation:

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.

A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

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Answer:

the correct option is D

Step-by-step explanation:

Answer:

? = 900

Step-by-step explanation:

lets change ? to x

(100 + x) / 100 = 10

we will substitute /100

(100 + x) /100 · 100 = 10 · 100

100 + x = 1000

we substitute +100

100 + x -100 = 1000 - 100

x = 900

hope this helps =D happy learning!!

Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

The resulting graph is a circle with center at (-3,-1) and radius 3.

The graph of the equation (x+3)²+(y+1)²=9

is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.

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The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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Answer:

23

Step-by-step explanation:

Answer:

Yes

No

Yes

No

Step-by-step explanation:

The values of x in the triangle is 12

From the question, we have the following parameters that can be used in our computation:

m/T = (3x + 19)°, m/U = (4x - 11) , and m/V = (7x + 4)

The sum of angles in a triangle is 180 degrees

Using the above as a guide, we have the following:

3x + 19 + 4x - 11 + 7x + 4 = 180

Evaluate the like terms

14x = 168

Divide by 14

x = 12

Hence, teh value of x is 12

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Answer:

how to do this

Step-by-step explanation:

The number the spinner is most likely to land on is 2

From the question, we have the following parameters that can be used in our computation:

The spinner

From the spinner, we have the number that covers the largest area to be 2

i.e.

Largest area = 2

This means that the number it is most likely to land on is 2 and it has the highest probability

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Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."

According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.

We can set up two equations based on the given information:

C + B = 60 (equation 1, representing the total number of sweets)

2C + 3B = 144 (equation 2, representing the total cost in dollars)

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From equation 1, we can rewrite it as C = 60 - B.

Now substitute this value of C in equation 2:

2(60 - B) + 3B = 144

Simplify the equation:

120 - 2B + 3B = 144

Combine like terms:

120 + B = 144

Subtract 120 from both sides:

B = 144 - 120

B = 24

Now substitute the value of B back into equation 1 to find C:

C + 24 = 60

C = 60 - 24

C = 36

Therefore, Lily bought 36 cookies and 24 brownies.

The numbers closest to the middle of the squares of consecutive integers around 69² are 4624 and 4761, which are at the squares of 68 and 69, respectively.

To find the number closest to the middle of the squares of consecutive integers around 69², we can use the fact that the squares of consecutive integers increase by an odd number. Specifically, the difference between the squares of consecutive integers n and n+1 is

(n+1)² - n² = 2n + 1

Therefore, the squares of consecutive integers around 69² are

67² = 4489

68² = 4624

69² = 4761

70² = 4900

71² = 5041

The middle of these squares is between 69² and 70², which is

(69² + 70²)/2 = 9674.5

So, we want to find the squares of the integers closest to 9674.5. Since 69 is closer to 9674.5 than 70, the two squares that are closest are

68² = 4624

69² = 4761

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--The given question is incomplete, the complete question is given

" What Interferes are closest to the number in the middle of 69²? "--