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olya-2409 [2.1K]
3 years ago
5

What is an expression that equals 1 using the numbers 6, 3, and 5 only once

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0
Answer: 1 = 6 - 5 + 3 × 0
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How do I solve this? (please help to find what goes in the boxes as well)
natta225 [31]

Answer:

First Box: Factor by difference of squares

Second Box: It has all perfect squares

Third Box: see my work

Step-by-step explanation:

We have the equation 4x^2=36

Before we do anything, let us bring all of the terms to the left side

4x^2-36=0

Now that we have moved the terms to one side, it is clear that we have a difference of squares.

-Work-

4x^2=36\\\\4x^2-36=0\\\\(2x+6)(2x-6)=0\\\\

-

2x+6=0\\\\2x=-6\\\\x=-3

-

2x-6=0\\\\2x=6\\\\x=3

5 0
3 years ago
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
rusak2 [61]

The answer is incomplete. Here is the complete question:

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 pay $600 upfront. Jamie earns his money by washing cars for $25 each. Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stella does because Stella only has enough supplies to make 40 pies. let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

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

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

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

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer:

Part 1: 25x\geq 600

Part 2: 15y\geq 600

Part 3: y\leq 40

Part 4: Yes, she makes exactly 600 dollars by making 40 pies.

Step-by-step explanation:

Given:

Total money needed for the trip is 600 dollars.

Money earnt by Jamie for washing one car is $25.

Money earnt by Stella for making one pie is $15.

Let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1:

Since the cost for washing one car is $25

Therefore, the cost of washing x cars is 25x.

Now, in order to sign up for the trip, money obtained from car washing must be greater than or equal to $600.

Therefore, 25x\geq 600

Part 2:

Since the cost for making one pie is $15

Therefore, the cost of making y pies is 15y.

Now, in order to sign up for the trip, money obtained from pie making must be greater than or equal to $600.

Therefore, 15y\geq 600

Part 3:

As per the question, the maximum number of pies that Stella can make is 40. So, the value of y can't exceed 40 and must be less than or equal to 40. Therefore,

y\leq 40

Part 4:

Now, in order to sign up for the trip, Stella's total earning must be at least $600. So, 15y=600 is the minimum condition for signing up for the trip. Now, let us solve the above equation for y. This gives,

15y=600\\y=\frac{600}{15}=40

Therefore, minimum number of pies required for signing up for the trip is 40 and luckily that's the maximum supply Stella has for pies. Therefore, she can sign up for the trip by making all the 40 pies and earning a total of 600 dollars.

8 0
3 years ago
A train travels 3.5 kilometers on a straight track with grade of 1 degree 10'. What is the vertical rise of the train distance?
denpristay [2]
The answer is 
h = AB sin tetha, 
tetha is <span>1 degree 10' = 1.1°, and AB = 3.5km

the vertical rise is h = 4.7</span>
3 0
3 years ago
X:y=5:3 and x+y=56<br> work out he value of x-y
Alex

Answer:14

Step-by-step explanation:

x+y=56

x:y=5:3

Sum of ratio=5+3

Sum of ratio=8

x=5/8x56

x=(5x56) ➗ 8

x=280 ➗ 8

x=35

y=3/8x56

y=(3x56) ➗ 8

y=168 ➗ 8

y=21

x-y

35-21=14

x-y=14

3 0
3 years ago
Read 2 more answers
What fraction does 4 triangles represent when 1 hexagon is worth 1 whole
strojnjashka [21]

Answer: 2/3

Step-by-step explanation: a hexagon is made up of 6 triangles so it would be 4/6 which can be simplified is 2/3

4 0
2 years ago
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