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Black_prince [1.1K]
3 years ago
5

Multiply. Simplify your answer. Write your final result as a whole number or a mixed number.

Mathematics
1 answer:
belka [17]3 years ago
4 0
4³/₄ × 1¹/₂
¹⁹/₄ × ³/₂
⁵⁷/₈
7¹/₈
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Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rin
Mariana [72]

Answer:

The answer is: 13 minutes

Step-by-step explanation:

First Let us form equations with the statements in the two scenario

time=\frac{distance}{speed}

Let the time in which the bell rings be 'x'

1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes

3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)

2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes

x - 3 = \frac{distance}{80} \\distance = 80(x-3)   - - - - - (2)

In both cases, the same distance is travelled, therefore, equation (1) = equation (2)

50(3+x)=80(x-3)

150 +50x=80x-240\\

Next, collecting like terms:

150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\

dividing both sides by 3:

x =  390÷30 = 13

∴ x = 13 minutes

7 0
3 years ago
How would you write an equation for a non proportional table????
Bad White [126]

Answer:

i need the table

Step-by-step explanation:

But usually it has something to do with an exponent

8 0
3 years ago
What is the center and radius of the circle that has the equation (x + 7)^2 + (y - 4)^2 ? Explain.
lesya [120]

Answer:

(-7, 4) and 7

Step-by-step explanation:

The standard equation of a circle is expressed as (x - a)^2  + (y - b )^2 = r^2

Where the center is the point (a, b) and the radius is r

Note: simply inserting the variables and playing around with your signs gives you the value for (a and b)

The square root of the radius gives you the value for r

7 0
3 years ago
Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect d
Lesechka [4]
<h3>Answer: Choice C</h3>

The surface area of the pyramid is multiplied by 100.

======================================================

Explanation:

Consider a square that is 3 by 3. Its area is 3*3 = 9.

Then we'll multiply each dimension by 10 to get a 30 by 30 square. The new larger area is 30*30 = 900. The jump from the old area (9) to the new area (900) is "times 100". We can write 100 as 10^2, where the base of that exponential is the scale factor 10.

This idea can apply to any surface area and not just squares. This is why the surface area of the enlarged pyramid is 100 times that of the original pyramid.

new surface area = 100*(old surface area)

8 0
2 years ago
Two lines are intersecting what is the value of x​
Dafna11 [192]

Answer:

x=111

Step-by-step explanation:

Since these angles are supplementary, they add up to 180°.

Let's make an equation.

360=(x+23)+(2x+4) \\ \\ 360=x+23+2x+4 \\ \\ 360=3x+27 \\ \\ 3x=333 \\ \\ x = 111

8 0
3 years ago
Read 2 more answers
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