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Tems11 [23]
3 years ago
6

Help: I am a number between 60 and 100. My ones digit is six less than my tens digit. I am a prime number.

Mathematics
2 answers:
marysya [2.9K]3 years ago
8 0
The correct answer is 97 if I’m not mistaken hope you have a wonderful day
Reptile [31]3 years ago
5 0

Answer:

Let's name the digit:

x- ones digit

y - tens digit

we know that x=y-2.

Now, y can be 6,7,8,9 (the number is between 60 and 100 (so depending on your understanding of "between", 0 is also possible. but then the number would have to have -2 as its ones digit, so in any case, it's not possible).

So the possibilities with x=y-2:

64

75

86

97

Out of those 64 and 86 are even, so they can't be prime.

75 has 5 in its ones number: it's divisible by 5.

so the correct answer is 97.

Step-by-step explanation:

Hope this helps!

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A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is
Katen [24]

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".

5 0
2 years ago
Solve the system of equations using substitution. Show your work<br> y=2x + 3<br> y=3x + 1
FrozenT [24]

Answer:

x=2 and y=7

Step-by-step explanation:

Step: Solvey=2x+3for y:

y=2x+3

Step: Substitute2x+3foryiny=3x+1:

y=3x+1

2x+3=3x+1

2x+3+−3x=3x+1+−3x(Add -3x to both sides)

−x+3=1

−x+3+−3=1+−3(Add -3 to both sides)

−x=−2

−x

−1

=

−2

−1

(Divide both sides by -1)

x=2

Step: Substitute2forxiny=2x+3:

y=2x+3

y=(2)(2)+3

y=7(Simplify both sides of the equation)

3 0
3 years ago
How many grams of barium chloride are there in 0.200 moles
Anni [7]
There are 41.646600000013 grams of barium chloride in 0.200 moles
5 0
3 years ago
Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?
Alekssandra [29.7K]

Answer:

See Explanation

Step-by-step explanation:

Given

New function: y = 3 \cos(10 (x -\pi))

We can assume the parent function to be:

y = \cos (x)

The new function can be represented as:

y = A*\cos((\frac{2\pi}{B})(x-c))

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

y = A*\cos((\frac{2\pi}{B})(x-c)) to y = 3 \cos(10 (x -\pi))

A = 3

c = \pi

\frac{2\pi}{B} = 10

Solve for B

B = \frac{2\pi}{10}

B = \frac{\pi}{5}

Using the calculated values of A,\ B\ and\ c. This implies that, the following transformations occur on the parent function:

  • <em>Vertically stretched by </em>3<em />
  • <em>Horizontally compressed by </em>\frac{\pi}{5}<em />
  • <em>Right shifted by </em>\pi<em />
5 0
3 years ago
Read 2 more answers
Which statement correctly explains how Andre could find the solution to the following system of linear equations using eliminati
grin007 [14]

umm ,this is too long could you maybe putt it in smaller form so I can answer

7 0
2 years ago
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