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Mkey [24]
3 years ago
9

3. A fence is made up of eight 8 5/7-foot sections. How long is the fence? Write your answer as a mixed number in lowest terms.

Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer:

Step-by-step explanation:

3)A fence is made up of eight 8 5/7-foot sections. This means the total number of feet's is 8 × 8 5/7. Expressing 8 5/7 as improper fraction, it will be 61/7 feet's

The total length of the fence =

8 × 61/7 = 488/7 feet's

Expressing as mixed fraction, it becomes

69 5/7 feets

4) Cynthia spent 3/4 of her time at the gym on the stair machine. She spent a total of 21 3/4 minutes on the stair machine. This means that the time she spent on the gym is 3/4 × 21 3/4 .

Converting 21 3/4 to improper fraction, it becomes 87/4

The time she spent on the gym

= 3/4 × 87/4 = 261/16

= 16 5/16 minutes

5) On Monday, Ryan jogged 1 ½ miles in ¼ hour. On Wednesday he jogged 2 1/3 miles in 1/3 hour. Converting to improper fractions,

the miles ran on Monday= 1 ½ miles = 3/2 miles

the miles jogged on wednesday = 2 1/3 miles = 7/3 miles

How much farther did Ryan jog on Wednesday than on Monday? This would be 7/3 - 3/2

= 5/6 miles

6) One requires 2/3 cup of flour, another requires 7/8 cup of flour, and the third require 3/4 cup of flour.

Total amount of flour that Josh will use is

2/3 +7/8 +3/4 = (16+21+18)/24

= 55/25 = 2 7/25 cups of flour

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Someone help me please
natka813 [3]

15 • 2 = 30

15 • 0.5 = 7.5

15 • 0.25 = 3.75

15 • 2.25 = 33.75


8 0
3 years ago
What is the least common multiple of 4 and 12?
podryga [215]

Answer:

The lcm (least common multiple) of 4 and 12 is 12.

Step-by-step explanation:

Find the prime factorization of 4

4 = 2 × 2

Find the prime factorization of 12

12 = 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3

LCM = 12

6 0
2 years ago
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16 divided by 9 Pleaseeee hellpppp againnnnn!!!!!!
jasenka [17]
As a fraction it is 16/9 and for a decimal it is 1.7777 repeating
7 0
3 years ago
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Can anybody help????
pychu [463]

Answer:

x = 110° (vertically opposite angel)

6 0
3 years ago
I need explanations for Mathematical Proofs.
erma4kov [3.2K]

Answer:

Proofs employ logic expressed in mathematical symbols, along with natural language which usually admits some ambiguity. In most mathematical literature, proofs are written in terms of rigorous informal logic.

According to Bleiler-Baxter & Pair [22], for a mathematician, a proof serves to convince or justify that a certain statement is true. But it also helps to increase the understanding of the result and the related concepts. That is why a proof also has the role of explanation.

There are many different ways to go about proving something, we'll discuss 3 methods: direct proof, proof by contradiction, proof by induction. We'll talk about what each of these proofs are, when and how they're used. Before diving in, we'll need to explain some terminology.

Although I will focus on proofs in mathematical education per the topic of the question, first and foremost proofs are so hard because they involve taking a hypothesis and attempting to prove or disprove it by finding a counterexample. There are many such hypotheses that have (had) serious monetary rewards available.

In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference.

All mathematicians in the study considered proofs valuable for students because they offer students new methods, important concepts and exercise in logical reasoning needed in problem solving. The study shows that some mathematicians consider proving and problem solving almost as the same kind of activities.

More information for you..

https://youtu.be/V5tUc-J124s

https://youtu.be/dMn5w4_ztSw

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3 0
3 years ago
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