One number is 4 more than another, and their sum is 60. What is the smaller number?

Answers

Answer 1
Answer: According to your question, there are 2 unknown numbers mentioned.Let the 2 unknown numbers be represented by the variables x & y, thenx is considered to be one of the numbers being more than y by the addition of 4, .ie.x = 4 + y --- (1)The sum of the 2 numbers is 60, i.e.x + y = 60 --- (2)To find the smaller number, we solve eqn (1) & (2) using the concept of substitution, i.e. substitute 4 + y for x in eqn (2), i.e.4 + y + y = 604 + 2y = 602y = 60 - 42y = 56y = 28 ...Ans.Recall that x is more than y by 4, then 28 is the smaller number.

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What type of angle is <CEB? ​

Answers

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

How many times can 8 go into 66

Answers

8 can go 8.25 or 8 1/4 times in 66. This is done by using a basic mathematical operation which is division. 66 is divided by 8 which will give us the result of 88.25 or in fraction form it would be 8 1/4.

A 8 can go into 66 eight times, with a remainder of 2.

To calculate how many times 8 can go into 66, we need to perform long division.

Step 1: Set up the long division:

     8 | 66

Step 2: Determine how many times 8 can go into the first digit of 66 (which is 6). It goes 8 times (8 x 8 = 64). Write 8 above the division bar.

     8 | 66

        8

Step 3: Subtract 64 from 66 to get the remainder. Bring down the next digit (which is 6).

     8 | 66

        8

       ---

         26

Step 4: Determine how many times 8 can go into 26. It goes 3 times (8 x 3 = 24). Write 3 above the division bar.

     8 | 66

        8

       ---

         26

        24

Step 5: Subtract 24 from 26 to get the remainder. There is no more digit to bring down, so the division is complete.

     8 | 66

        8

       ---

         26

        24

       ---

          2

The final result is 8 times with a remainder of 2. Therefore, 8 can go into 66 eight times, with a remainder of 2.

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What is rounding 985,538,.86 to the nearest million?

Answers

is 1,000,000 because 538 is greater then 500 so it rounds up

What is the distance between points (10, 7) and (2, 7) on a coordinate plane?

Answers

The distance between points (10, 7) and (2, 7) on a coordinate plane is 8 units.

The given coordinate points are (10, 7) and (2, 7).

What is distance formula?

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].

Substitute (x1, y1)=(10, 7) and (x2, y2)=(2, 7) in the distance formula, we get

Distance = √[(2-10)²+(7-7)²]

= √64

= 8 units

Therefore, the distance between points (10, 7) and (2, 7) on a coordinate plane is 8 units.

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Hey there, you can solve this using the distance formula! 

Distance = \sqrt{(x_(2)- x_(1))^2+(y_(2)- y_(1))^2}

Where x_(1) = 10
            x_(2) = 2
            y_(1) = 7
            y_(2) = 7

So...
Distance = √((2- 10)^2+(7- 7)^2)
Distance = √((-8)^2+(0))
Distance = √(64)
Distance = 8 units

A ski club charges nonmembers $48 per session plus ski rental fee of $24 per session. A memeber pays a monthley fee of $384 plus a ski rental fee of $8 per session. how many sessions would both a memeber and nonmember have to ski in order to pay the same amount?

Answers

Answer:

6

Step-by-step explanation:

Let x be the number of sessions required.

We have (48 + 24)x = 384 + 8x.

=> 72x = 384 + 8x

=> 64x = 384

=> x = 6.

0.45013 in scientific notation

Answers

The Scientific notation of numbers is,

⇒ 4.5013 × 10⁻¹

We have to give that,

A standard form of number is,

⇒ 0.45013

Since Scientific notation is a way of writing very large or very small numbers.

For example; 230,000,000 can be written in scientific notation as

2.3 x 10⁸.

Hence, the Scientific notation of numbers is,

⇒ 0.45013

⇒ 4.5013 × 10⁻¹

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0.45013 in scientific notation is: 4.5013 x 10-1