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3 years ago

Select 2 strategies that we can use to add 115+497

Mathematics

1 answer:

Gemiola [76]3 years ago

6 0

Answer:

B. Add 115+500 then subtract 3

C. Add 112+500

Step-by-step explanation:

Any strategy that gives a sum of 612 will work. Strategy A gives a sum of 602, so is not useful.

The appropriate choices are B and C.

B: 115 +497 = 115 +(500 -3) = (115 +500) -3

C: 115 +497 = 115 +497 -3 +3 = (115 -3) +(497 +3) = 112 +500

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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p

sveticcg [70]

Answer:

Part 1: 25x ≥ 600

Part 2: 15y ≥ 600

Part 3: y ≤ 40

Explanation:

Verbal statements must be translated into algebraic expressions, equations or inequalities.

1. Money earned by Jamie washing cars for $25 each

Let x represent the number of cars Jaime washes.

2. Money earned by Stella making pecan pies for $15 each

Let y represent the number of pies she makes

3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies.

Write an inequality using the symbol ≤, since y can take any integer value up to 40.

y ≤ 40

4. First question:

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip

25x ≥ 600

5. Second question:

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

15y ≥ 600

6. Third question

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

From step # 3

y ≤ 40

7. Conclusion

You can solve the inequalities fo find whether Stella can or not afford the trip:

Solve for the inequalities that represent Stella's situation:

15y ≥ 600

y ≥ 600 / 15

y ≥ 40

From step 6: y ≤ 40

The solution set is the intersection of the two solutions:

y ≥ 40 ∩ y ≤ = 40 = 40.

Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.

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3 years ago

M little sister needs help with a geometry problem

Svetllana [295]

Answer:

Segment bisector = KL

IJ = 11⅓

Step-by-step explanation:

Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.

Length of IJ:

From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.

Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓

Segment bisector = KL

IJ = 11⅓

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3 years ago

Leland was able to build 1/4 of a shelf in 2/3 of an hour. How many shelves can he build per hour?

Gre4nikov [31]

Answer:

7/20 of one shelf in an hour

Step-by-step explanation:

if you think about the problem in numbers out of 100, we know that

- 2/3 of an hour is 40 minutes per hour because 60/3 = 20

- 1/4 of a shelf is 25% of the shelf

In an hour Leland can build 35% of a shelf in an hour or 7/20 of a shelf

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3 years ago

SOMEBODY PLEASE HELP ASAP

mina [271]

Answer:

Step-by-step explanation:

$\frac{RW}{24}=\frac{30}{18} \\ \\ RW=40$

8 0

2 years ago

In the right triangle ABC, angle A is 36 degrees.

tankabanditka [31]

Answer:

Step-by-step explanation:

Start with the Big 3. The Big three are the ones on your calculator. The other three are the reciprocals of the big 3.

Sin A = 0.5878

Cos A = 0.8090

Tan A = 0.7265

=============

Now for the reciprocals. I'll leave you to put them in the order that the question asks for.

Cot A = 1/ Tan(A) = 1/0.7265 = 1.3763

CSC A = 1/sin (A) = 1/0.5878 = 1.7013

SEC A = 1/ Cos(A) = 1/0.8090 = 1.236

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3 years ago