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WINSTONCH [101]
3 years ago
14

Please help with system of equations formula creation.

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

The cooperative has to make 70 shirts per day.

Step-by-step explanation:

Let x shirts be the number of shirts in a day  the cooperative has to make to fulfill his plan.

In 8 days, it will make 8x shirts.

Everyday, overfilling the norm by 10 shirts, the cooperative makes x + 10 shirts in a day.

The cooperative fulfilled his plan in 1 day less, so it spent 8-1=7 days and made 7(x+10) shirts.

The number of shirts is the same, so

8x=7(x+10)\\ \\8x=7x+70\\ \\8x-7x=70\\ \\x=70

The cooperative has to make 70 shirts per day.

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A teacher is buying pencils for her classroom. If a dozen pencils cost $0.97, how many pencils can she purchase with $5?
mixas84 [53]

Answer:

The teacher can purchase 61 pencils with $5

Step-by-step explanation:

This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas

It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083

With $5 she will be able to purchase 5/0.08083=61.85 pencils

We must round to the nearest lower integer

The teacher can purchase 61 pencils with $5

6 0
3 years ago
Find the value of x using SohCahToa.
AlexFokin [52]

Answer:

x=6.55\ units

Step-by-step explanation:

we know that

In the right triangle of the figure

The cosine of the angle of 35 degrees is equal to divide the adjacent side to the angle of 35 degrees by the hypotenuse

so

cos(35^o)=\frac{x}{8} -----> by CAH

solve for x

x=(8)cos(35^o)

x=6.55\ units

4 0
4 years ago
A system of equations is shown below. Find the solution by using substitution.
Irina18 [472]

Answer:

a) (1, 1)

Step-by-step explanation:

5x - 4 = −2x + 3

-5x - 5x

____________

−4 = −7x + 3

- 3 - 3

_________

−7 = −7x

__ ___

−7 −7

1 = x [Plug this back into both equations above to get the y-coordinate of 1]; 1 = y

I am joyous to assist you anytime.

7 0
3 years ago
Im almost done with my last few khan academy assignments but i think i frogot how to do this one
Strike441 [17]

Answer:

x--------------y

4--------------2

8--------------3

12-------------4

Step-by-step explanation:

y = 1/4x + 1

We substitute the values under x into the equation

Equation 1: y = 1/4(4) + 1

Equation 2: y = 1/4(8) + 1

Equation 3: y = 1/4 (12) + 1

Let's solve for equation 1:

Equation 1: y = 1/4(4) + 1

y = 1/4(4) + 1

Multiply number in parenthesis

y = 1/4 * 4/1 + 1

1/4 and 4/1 turn into 1

y = 1 + 1

Add 1 to 1

y = 2

Let's solve for equation 2:

y = 1/4(8) + 1

Multiply number in parenthesis

y = 1/4 * 8/1 + 1

1/4 and 8/1 turn into 2

y = 2 + 1

Add 2 to 1

y = 3

Let's solve for equation 3:

y = 1/4 (12) + 1

Multiply number in parenthesis

y = 1/4 * 12/1 + 1

1/4 and 12/1 turn into 3

y = 3 + 1

Add 3 to 1

y = 4

So the table of values would be:

x--------------y

4--------------2

8--------------3

12-------------4

look at the graph        

3 0
2 years ago
A spinner is divided into four sections of equal size, numbered 1, 2, 3, and 4. You spin it three times, and get 1, 4, and 3. Wh
N76 [4]

Answer:

hello your question lacks the required statements here are the statements

A spinner is divided into four sections of equal size, numbered 1, 2, 3, and 4. You spin it three times, and get 1, 4, and 3. Which statement is FALSE?

A. The theoretical probability of a 1 is 25%.

B. The experimental probability of a 1 is 25%.

C. If you spin the same spinner again and get different results, the experimental probabilities are different, but the theoretical probabilities have not changed.

D. The experimental probability of a 2 is 0%.

Answer : The experimental probability of a 1 is 25%  ( B )

Step-by-step explanation:

The first statement is true because since the spinner is divided into 4 sections  the theoretical probabilty is equal for all sections i.e 25% each

The second statement is false because after spinning the spinner three times ( experimental ) the results obtained were 1,4,3 hence the experimental probability of 1 would be 33.3%

the theoretical probabilities remains unchanged but the experimental probabilty can change

the experimental probabilty of 2 is 0% because after the 3 experiments the number 2 did not show up

7 0
4 years ago
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