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irakobra [83]
2 years ago
9

Isabel is thinking of an even number between 234 and 250 . The sum of the digits is double the digit in the ones place. What is

Isabel's number ?
Mathematics
1 answer:
Dvinal [7]2 years ago
4 0
Since the required number is between 234 and 250, then the first digit of the number is 2 and the second digit can either be 3 or 4.

Let the second and the third digits be x and y respectively, then

2 + x + y = 2y

Consider when the second digit is 3, then

2 + 3 + y = 2y
5 = y

Thus, the number is 235.

Similarly, consider when the second digit is 4, then

2 + 4 + y = 2y
6 = y

Thus, the number is 246.

Since the required number is an even number, therefore, Isabel's number is 246.
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inna [77]

Answer:

The height of the tree = 25 feet

 Step-by-step explanation:  

From the given diagram : EF = 5 feet, FA = 8 feet, CA = 40 feet

∠AFE = 90° and ∠ACB = 90°

To find : CB, the height of the tree.  

Solution : In ΔAEF and ΔAB  C

∠AFE = ∠ACB = 90°  

∠A is common angle.  

So, By AA postulate of similarity of triangle, ΔAEF ~ ΔABC  

Now, sides of similar triangles are proportional to each other

\implies\frac{FA}{CA}=\frac{EF}{CB}\\\\\implies \frac{8}{40}=\frac{5}{CB}\\\\\implies CB=\frac{40\times 5}{8}\\\\\implies CB=25

Hence, The height of the tree = 25 feet

8 0
3 years ago
Round 630,379,982 to the nearest hundred thousand
mamaluj [8]

Answer:

630,400,000

Step-by-step explanation:

630,379,982

The 3 above that is bold, between the 0 and the 7, is in the hundred thousands place.

To round to a place, change all digits to the right of that place to zero. If the digit immediately to the right is 0 through 4, you're done. If the digit immediately to the right is from 5 to 9, then you raise the digit you are rounding to by 1.

Step 1. Make all digits to the right of the hundred thousands digit 0.

630,300,000

Step 2. Since the digit immediately to the right of the hundred thousands digit was a 7, which is from 5 to 9, the digit we are rounding to goes up by 1. The 3 becomes 4.

630,400,000

Answer: 630,400,000

5 0
3 years ago
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lesya [120]

Answer:

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Step-by-step explanation:

6 0
3 years ago
out of 45 times at bat, Raul got 19 hits. Find Rauls batting average as a decimal rounded to the nearest thousandth.
Eduardwww [97]
<span>Raul only hit 19 times out of 45 bats.
Now, let’s find the average decimal value of Raul’s hit.
=> 19 hits
=> 45 bats
x = value in decimals

=> 19 = x * 45
=> 19 = 45x
Now, divide both sides with 45
=> 19/45 = 45x / 45
=> 0.4222222 = x
x = 0.422222……..
Since it is a repeating decimals, and we only need to find the thousandths value. Let’s get the value of Thousandths.
=> 4 = tenths
=> 2 = hundredths
=> 2 thousandths
Therefore the value of 19 hits out of 45 bats in decimals is
=> .422 </span>



8 0
2 years ago
Given that f(x) = 5x - 10 and g(x) = x + 3, find f(g(-1)).
musickatia [10]

\bf \begin{cases} f(x) = 5x-10\\ g(x) = x + 3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(-1)=(-1)+3\implies \boxed{g(-1) = 2} \\\\\\ f(~~g(-1)~~)\implies f\left( \boxed{2} \right) = 5(2)-10\implies \stackrel{f(~g(-1)~)}{f(2)}=0

5 0
3 years ago
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