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3 years ago

Three whole numbers are each rounded to the nearest 10

Mathematics

1 answer:

Aloiza [94]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

The maximum whole number that will round to 10 is 14, that is, it may be 4 more than the nearest 10.

If all three numbers are 4 more than the nearest 10, their maximum sum will be 12 more than the sum of the rounded numbers.

For example, consider the numbers 34, 34, 24. These have a sum of 92. When rounded to the nearest 10, their values are 30, 30, 20, which have a sum of 80.

The maximum sum of the three original whole numbers is 92.

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Edwin is shopping with his mom. He sees that oranges are on sale. A bag of 15 oranges costs $3. 75. Calculate the unit rate of e

grin007 [14]

Answer:

$0.25

Step-by-step explanation:

To find the unit rate of each orange, divide the total cost of the bag by the number of oranges in the bag:

⇒ 3.75 ÷ 15 = 0.25

Therefore, the unit rate of each orange is $0.25

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2 years ago

Find the indicated function value for csc -450°

Mekhanik [1.2K]

Step-by-step explanation:

$\csc( - 450 \degree) \\ \\ = - \csc450 \degree \\ \\ = - \csc(360 \degree + 90\degree) \\ \\ = - \csc( 90\degree) \\ \\ = - 1$

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4 years ago

two boats leave the jetty at the same time. one of them returns to the jetty every 25 minutes and the second one returns every 3

mars1129 [50]

Answer:

150 mins or 2 hrs 30 mins

Step-by-step explanation:

This is simply the LCM ( lowest common multiple)

therefore, you find all the prime factors of 25 using a tree diagram resulting in 5^2 and 30 which will be 2 x 3 x 5. Then you multiply all the factors together and you will get 5 x 5 x 2 x 3 = 150

so....

the answer is after 150 mins

or 2 hours and 30 minutes

3 0

3 years ago

Read 2 more answers

The students who attend Memorial High School have a wide variety of extra-curricular activities to choose from in the after-scho

ladessa [460]

Answer:

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Step-by-step explanation:

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3 years ago

40. If l || m, find the measure of each missing angles.

ANTONII [103]

Answer:

∠1 = 93°

∠2 = 35°

∠3 = 52°

∠4 = 35°

∠5 = 93°

∠6 = 128°

∠7 = 52°

∠8 = 128°

∠9 = 52°

∠10 = 93°

∠11 = 87°

∠12 = 93°

Step-by-step explanation:

Here are some things you need to remember:

Supplementary angles are angles that sum up to 180° or they form a straight line.

Corresponding angles are congruent. Corresponding angles are angles that are in the same corner or the same side of the intersection.

Alternating angles are congruent. Alternating angles are angles found on alternate sides of the intersecting line. You have interior alternating angles, so these are alternating angles inside the parallel lines, and you have exterior alternating angles, angles found alternating outside the parallel lines.

Vertical angles are opposite angles made by two lines that intersect. Vertical angles are congruent or they have the same measure.

Attached are examples of each, so you can visualize it yourself.

Let's solve these angles with that in mind (let's show the easier ones first):

∠11 is vertical to the angle that measures 87°

This means that they are congruent. And so we know that

∠11 = 87°

∠10 is supplementary to angle that measures 87°

This means that if we add them up together, we will get 180°.

∠10 + 87° = 180°

Subtract 87° from both sides of the equation:

∠10 + 87° - 87° = 180° - 87°

∠10 = 93°

∠12 is vertical to ∠10

This means that ∠12 = ∠10

∠10 = 93°

∠12 = ∠10

∠12 = 93°

∠1 and ∠10 are corresponding angles.

So this means that they are congruent.

∠1 = ∠10

∠10 = 93°

∠1 = ∠93°

∠1 is vertical to ∠5

This means that they are congruent:

∠1 = ∠5

∠1 = 93°

∠5 = 93°

∠3 is vertical to the angle that measures 52°

This means that they are congruent:

∠3 = 52°

∠3 and ∠7 are corresponding angles.

This means that they are congruent.

∠3 = ∠7

∠3 = 52° by substitution we can say then:

52° = ∠7

∠7 and ∠9 are vertical angles.

This means that they are congruent:

∠7 = ∠9

∠7 = 52°

52° = ∠9

∠9 and ∠6 are supplementary. This means that their sum add up to 180°.

∠6 + ∠9 = 180°

∠9 = 52°

∠6 + 52° = 180°

Subtract both sides by 52°

∠6 + 52° - 52° = 180° - 52°

∠6 = 128°

∠6 and ∠8 are vertical angles:

This meas that they are congruent.

∠6 = ∠8

∠6 = 128°

128° = ∠8

∠3 combined with ∠4 is alternate (interior) to the angle that measures 87°

This means that if we add up ∠3 and ∠4 it will be equal to 87°

∠3 + 4 = 87°

∠3 = 52°

52° + ∠4 = 87°

Subtract 52° from both sides:

52° - 52° + ∠4 = 87° - 52°

∠4 = 35°

∠4 and ∠2 are vertical angles:

This means that they are congruent.

∠4 = ∠2

∠4 = 35°

35° = ∠2

4 0

4 years ago