Use elimination to solve this system of equations. X-4y=-11 and 5x-7y=-10

Answers

Answer 1
Answer: x-4y=-11<=> -5x + 20y = 55
                      5x - 7y    = -10
                =>0*x + 13*y = 45 => y =45/13 => x = 4*(45/13) -11 = 180/13 -11 =>
x = 37/13;

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A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, and 10% hazelnuts, and the rest are peanuts. You buy a large can and separate the various kinds of nuts. Upon weighing them, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises. a) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out. b) What might you do instead of weighing the nuts in or- der to use a test

Which choices are in the solution set of the inequality below? Check all that apply.20x>70

A: 6.5
B: 3
C: 3.5
D: 1
E: 5
F: 4

Answers

70 divided by 20 is 3.5, so the answer is any that are larger than 3.5
20x>70
x>7/2 so C is the write answer
put best answer.i need this

The sum of two consecutive integers is 99, what is the 2nd integer??

Answers

The two consecutive numbers are 40 and 59.

Simplifying square root of 96

Answers

To do this you need to find the prime factors of 96 ( 2·2·2·2·2·3) now, the numbers that are the same pair up to make one of the numer. So 2·2= 2 and the other 2·2= 2 also. Now bring the new 2s to the left of the square root sign and multiply to get 4. now you have 4√2·3 and to finish the equation you just multiply 2 and 3 to get:

4√6 as your answer.

How many degrees of a full circle can you travel eastward or westward from the zero (prime) meridian before heading back toward that Prime Meridian?

Answers

Answer:

The Prime Meridian is a line of longitude designated as 0 degrees, and it runs through Greenwich, London. When traveling eastward or westward from the Prime Meridian, you can travel up to 180 degrees in either direction before heading back toward the Prime Meridian.

So, you can travel a maximum of 180 degrees eastward or 180 degrees westward from the Prime Meridian before changing direction and heading back toward it. Beyond 180 degrees, you would start approaching the Prime Meridian from the opposite direction.

Final answer:

You can travel 180 degrees eastward or westward from the prime meridian before you start heading back towards it. This is primarily due to the arrangement of longitude and the physical structure of the earth.

Explanation:

If you travel eastward or westward from the zero (prime) meridian, the maximum degree that one can travel in either direction, assuming from the zero meridian, prior to heading back is 180 degrees. This is primarily due to the spherical structure of the earth and the way longitude is arranged.

This is defined as the International Date Line and lies exactly opposite the Prime Meridian, creating a semi-circular line. The Prime Meridian, by international agreement, is set at 0° and runs through Greenwich, England. This serves as a starting point for the measurement of longitude.

As you travel in either direction, the degree of longitude increases until you hit the International Date Line at 180°. Beyond the 180° mark, the degree starts decreasing heading back towards the Prime Meridian. Geography and astronomy recognise and adhere to these conventions.

Learn more about Prime Meridian here:

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Estimate the sum of 202 and 57.

Answers

The estimated sum of 257 and 57 is 260.

What is estimation?

An estimation is a guess or an assumption about a value that isn't too far off, estimate in math is an approximate value close enough to the correct value. A lot of guesses are made to make math easier and clearer.

Given that, what can be the estimate the sum of 202 and 57.

To find the estimate the sum of 202 and 57, we will take round numbers for 202 and 57,

In 202, the last digit is 2 which is less than 5, so we will round down to make it 200

In 57, the last digit is 2 which is more than 5, so we will round up to make it 60

Now, 200+60 = 260

Hence, the estimated sum of 257 and 57 is 260.

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The estimate sum of 202+57 is equal to 259

Draw or write to explain why 1 hundred 4 tens and 14 tens name the same amount

Answers

Solving the expressions, we find 140 = 140, thus, they are the same amount.

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  • One hundred is 1 multiplied by 100, thus 1 * 100 = 100
  • 4 tens is 4 multiplied by 10, thus 4 * 10 = 40
  • 1 hundred 4 tens is 100 + 40 = 140

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  • 14 tens is 14 multiplied by 10, thus 14 * 10 = 140
  • Applying the multiplications, that is, solving the expressions, we get the same amount, this is why the measures are the same amount.

A similar problem is given at brainly.com/question/20742606

1 hundred can also be 10 tens so when you add 10 tens and 4 tens you 14 tens and that is the same thing as 14 tens