One number is 12 more than half another number. The two numbers total 60. Find the numbers.

Answers

Answer 1
Answer: The answer would be 36 and 24. I'm sorry I can't give you an explanation like I normally do for people. I was just fiddling with my calculator to find the answer for you. Sorry.

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Name four fractions whose
values are between 1/7 and 1/5

Answers

Answer:

21/140, 22/140, 23/140, 24/140

Step-by-step explanation

7 and 5 have a common multiple of 140.

140/7 = 20 , 20/140

140/5 = 28, 28/140

21, 22, 23, 24, 25, 26, and 27 are all numbers between 20 and 28.

Final answer:

Four fractions that fall between 1/7 and 1/5 are 2/14, 3/21, 4/28 and 5/35. These fractions simplify to 1/7 when simplified but can serve as a reference. You could also use fractions like 2/13, 2/12, 2/11, and 2/10, which all fall between 1/7 and 1/5.

Explanation:

To find four fractions whose values are between 1/7 and 1/5, we can increase the denominator while keeping the numerator constant or slightly increase the numerator. Some examples include 2/14, 3/21, 4/28, and 5/35. Let's analyze these:

  1. In fraction 2/14, if we simplify it, we get 1/7. This is not strictly between 1/7 and 1/5 but is a good starting point.
  2. In fraction 3/21, if we simplify it, we get 1/7. This is not strictly between 1/7 and 1/5 but it's a good reference.
  3. Next, we have 4/28 which simplifies to 1/7. Again, it's not strictly between, but it's a good reference.
  4. Finally, we have 5/35. This simplifies to 1/7, it's not strictly between, but it's a good reference.

Please note that you could also find fractions by increasing the numerator slightly, such as 2/13, 2/12, 2/11, and 2/10 where all these fractions will lie between 1/7 and 1/5.

Learn more about Fractions here:

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How do I find the nth term of the arithmetic sequence -2,2,6,10

Answers

Answer:

the answer is 30

Step-by-step explanation: gie the other guy brainliest

Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?

Answers

Answer:

Option B

Step-by-step explanation:

The figure is shown in the attachment.

The first figure is the main question.

The options are in the second attachment.

We want to chose the figure that could be the result of dilating this rectangle with a scale factor between 0 and 1.

When we dilate a figure with a scale factor between 0 and 1, the size of the figure shrinks but maintains the same orientation as the original figure.

Therefore the correct option is B.

Answer:

The sides of the resulting rectangle must be shorter than the original figure.

Step-by-step explanation:

The figures are missing, so I will answer this question in general terms. When a rectangle is dilated by a scale factor between 0 and 1 the resulting rectangle must have shorter sides than the original.

Let's say for example that the original has 2 sides 5 units length and the other 2 sides 8 units length. Then, the resulting figure will have 2 sides less than 5 units length and 2 sides 8 units length, where the proportion 5:8 must still be satisfied.

Evaluate the expression. Express the result in scientific notation.(9.08 × 106) – (2.25 × 105)

Answers

Answer: 8.855*10^6

Step-by-step explanation:

Scientific notation has the form:

a*10^n

Where "a" is a number between 1 and 10 but less than 10 and "n" is a integer.

To make the subtraction, the bases must have the same exponent.

Then you can move the decimal point of 2.25 one place to the left, then:

(9.08*10^6)-(0.225*10^6)

Now you can make the subtraction. Then you get:

8.855*10^6

Answer:

Step-by-step explanation:

step 1: do (9.08 x 106) and (2.25 × 105) first

Step 2: bring down the minus sign

Step 3: subtract

Step 4: you should get 726.23 as your final answer

If f(x) = 3x – 2 and g(x) = 6 – 4x, find f(x) + g(x).

Answers

f(x)+g(x)=3x-2+6-4x=-x+4

f(x) = 3x - 2, g(x) = 6 - 4x

f(x) + g(x) = (3x - 2) + (6 - 4x)

= 3x - 2 + 6 - 4x       combine like terms

= (3x - 4x) + (-2 + 6)

= -x + 4

Solve the equation.

−3(y+5)=15

Answers

Answer:

y = -10

Step-by-step explanation:

−3(y+5)=15

Divide each side by -3

−3/-3(y+5)=15/-3

y+5 = -5

Subtract 5 from each side

y+5-5 = -5-5

y = -10