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2 years ago

i am the largest 6-digit number you can make that has a 1 in the thousands place and a 5 in the ten-thousands place

Mathematics

1 answer:

Nitella [24]2 years ago

8 0

The answer is 951,999. Now have a great day.

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What is the value of x if the average of 10, 11, 12 and x is 9?

frosja888 [35]

Answer: The value of x is 3.

Step-by-step explanation:

Since we have given that

10,11, 12 and x

Average of above numbers = 9

As we know that

Average is given by

$\dfrac{\text{Sum of observation}}{\text{Number of observation}}\\\\\\\dfrac{10+11+12+x}{4}=9\\\\10+11+12+x=9\times 4\\\\33+x=36\\\\x=36-33\\\\x=3$

Hence, the value of x is 3.

6 0

3 years ago

Whats the 90'/, angle

yaroslaw [1]

Answer:

An angle shaped as a long L is a right angle...

Step-by-step explanation:

7 0

3 years ago

Tony wants to purchase a baseball glove for $14.96, a baseball bat for $19.87, and a baseball for $5.37. He figured out that he

eimsori [14]

To solve this, first we calculate all the total cost of the items that is:

total cost = $14.96 + $19.87 + $5.37

total cost = $40.20

So we see that the actual cost is similar with the estimate so his calculation is reasonable.

7 0

3 years ago

Explain why the graph of the equation g(x) = -(x + 1 ) - 3 would be a parabola opening downward.

sashaice [31]

Answer: Because the a-value is negative.

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k where

"a" is the vertical stretch
-a is a reflection over the x-axis
h is the horizontal shift (positive = right, negative = left)
k is the vertical shift (positive = up, negative = down)

Given: g(x) = - (x + 1)² - 3

↓

a= -1

Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).

3 0

3 years ago

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

<em>The percentage in y is 300%</em>

7 0

3 years ago