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3 years ago

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Mathematics

1 answer:

PtichkaEL [24]3 years ago

3 0

Answer:

Mark types the fastest rate of words per minute at 75 words per minute

Step-by-step explanation:

In this question, we want to know which of the three typists has the fastest typing rate.

To calculate this, what we need to do is to divide the total number of words they can type by the number of minutes taken to type those words.

For Natasha, we have; 2600 words / 40 minutes = 65 words per minute

For Henry, we have 4900 words/70 minutes = 70 words per minute

For Mark, we have 3750 words/50 minutes = 75 words per minute

We can see that Mark with 75 words per minute has the fastest typing rate

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Translate the figure 3 units left and 4 units down.

stellarik [79]

Answer:

3,-1

Step-by-step explanation:

you go over to the left 3 and than you go down 4.

8 0

3 years ago

Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0

2 years ago

2x² + 4x + 4 + x² + 1 = 180

Tasya [4]

Step-by-step explanation:

$2 {x}^{2} + 4x + 4 + {x}^{2} + 1 = 180$

$3 {x}^{2} + 4x + 5 = 180$

${3x}^{2} + 25x - 21x - 175 = 0$

$x \times (3x + 25) - 7(3x + 25) = 0$

$(3x + 25) \times (x - 7) = 0$

$3x + 25 = 0 = x - 7 = 0$

$x = - \frac{25}{3} = x = 7$

$= x_{1} = - \frac{25}{3} . \: \: x_{2} = 7$

5 0

3 years ago

Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much

iren [92.7K]

Around 16 dollars. 75-27=48. 48/3=16

4 0

3 years ago

3x - 7 = 17 is it <br><br> (x = -8) or (x = 8 )

Schach [20]

Answer:

The answer is x = 8

5 0

4 years ago

Read 2 more answers