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2 years ago

Once again, you know the rules. Solve for x

Mathematics

2 answers:

avanturin [10]2 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

Angles are complementary so:

10x + 16 + 54 = 90

10x + 70 = 90

10x = 20

x = 2

galben [10]2 years ago

3 0

Answer:

Step-by-step explanation:

We know that these angles HAVE to add up to 90°.

First lets eliminate the extra number (16). To do so, we just need to add it to 54.

54 + 16 = 70

Now there is 20 degrees missing.

So we just need to divide 20 by 10

20 ÷ 10 = 2

So 2 is the answer

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55 is 40% of what number

SCORPION-xisa [38]

You simply put 40 over a hundred and 55 over n (which is the number were trying to find) so you do cross multiplication. 55 times a hundred and after you get the answer. You divide it by 40 and should get 137.5.

3 0

3 years ago

Which linear inequality is represented by the graph?

zheka24 [161]

Answer:

I am going to say x3

Step-by-step explanation:

3 0

3 years ago

Solve the linear equation. 2x+3(x-4)=(2x+3)

I am Lyosha [343]

Answer:

X=5

Step-by-step explanation:

Cancel equal terms remove parentheses.

Move the constant to the right.

Add the numbers.

Divide by 3 on both side. and X=5

Hope this helps

3 0

3 years ago

Illinois license plates used to consist of either three letters followed by three digits or two letters followed by four digits.

DENIUS [597]

Answer:

The probability that a randomly chosen plate contains the number 2222 is 0.000028 approximately.

The probability that a randomly chosen plate contains the sub-string HI is 0.002548 approximately.

Step-by-step explanation:

Consider the provided information.

Illinois license plates used to consist of either three letters followed by three digits or two letters followed by four digits.

Part (A)

Let A is the ways in which plates consist of three letters followed by three digits and B is the ways in which two letters followed by four digits.

Here repetition is allow. The number of alphabets are 26 and the number of distinct digits are 10.

The numbers of ways in which three letters followed by three digits can be chosen is: $26\times 26\times 26 \times 10 \times 10 \times10$

$26^3\times 10^3=17576000$

The numbers of ways in which two letters followed by four digits can be chosen is: $26\times 26\times 10 \times 10 \times 10 \times10$

$26^2\times 10^4=6760000$

Hence, the total number of ways are 17576000 + 6760000 = 24336000

Randomly chosen plate contains the number 2222 that means the first two letter can be any alphabets but the rest of the digit should be 2222.

Thus, the total number of ways that a randomly chosen plate contains the number 2222 number are: $26^2=676$

The probability that a randomly chosen plate contains the number 2222 is:

$\frac{676}{24336000} \approx 0.000028$

Part (B)

The number of ways in which chosen plate contains the sub-string HI:

If three letters followed by three digits plate contains the sub-string HI, then the number of possible ways are:

$26\times 1\times10^3+1\times 26\times10^3$

If two letters followed by four digits plate contains the sub-string HI, then the number of possible ways are:

$1\times 10^4$

Thus, the total number of ways that a randomly chosen plate contains the sub-string HI are:

$1\times 10^4+26\times 1\times10^3+1\times 26\times10^3$

$62000$

From part (A) we know that the total number of ways to chose a number plate is 24336000.

The probability that a randomly chosen plate contains the sub-string HI is:

$\frac{62000}{24336000} \approx 0.002548$

7 0

3 years ago

During one hour of television there are two shows on what is the ratio of hours to shows if you watch three hours of television

3241004551 [841]

During one hour of television there are two shows on. That would be the ratio 1:2. We need to find 3:?. Since 1×3 is 3, we multiply the second number by 3 as well. 2×3 is 6. So the ratio would be 3:6.

4 0

2 years ago