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Zolol [24]
3 years ago
6

Tim answered all the questions on his math test but got 010 answers wrong. He received 44 points for every correct answer, and t

here was no penalty for wrong answers. His score was 76 points. Write an equation to determine the total number of questions
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0
44x is the way the points are calculated. In order to find out the amount of questions there needs to be a constant, 10 which represents the number of wrong questions, and a variable, x which represents the number of correct questions. You have to know that if wrong questions were counted, he would have 440 points just for the 10 wrong questions. Next you have to add the amount of correct questions and their corresponding points. The numbers that you get should be put together with the wrong questions. The points for the wrong questions don't count but the questions do. When you find the number, (I don't know what it is so I will use x but you will have to find out what it is) you will add x, the number of correct questions to the 10 incorrect questions and then you will have 10+x for the questions. You will need to use 44x to find out the number of points and once you have done that, you use this equation to average the points over the total questions: 44x/10+x
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PLLLLLLSSSSSS Help Will Mark Brainlest but must explain what you did in 20 minutes
padilas [110]

Answer:

A) The price of product A is increasing by 3% per year.

(B) The product A recorded a greater percentage change in price over the previous year.

Step-by-step explanation:

(A)

The function representing the price, in dollars, of product A after x years is:

FA(x)=0.69*(1.03)x

The function  FA(x)can be written as:

FA(x)=0.69*1+(0.03)x

The function FA(x) is similar to the exponential growth function, y=a(1+r)x .

Here r is the growth rate.

Thus, it can be said that the price of product A is increasing by 3% per year.

(B)

Consider the data of product B for the year 3 and 4.

The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.

Compute the percent price change from year 3 to 4 as follows:

10406.04-10303.01/10303.01*100

which is 0.999%

~1%

The price of product B is increasing by 1% per year.

Thus, the product A recorded a greater percentage change in price over the previous year.

4 0
3 years ago
In a group of 40 people, 27 can speak English and 25 can speak Spanish. How many can speak
Svetradugi [14.3K]

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Information \: provided \:  with  \: us }}}}}\: \bigstar}

➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{What \: we \:  have  \: to \: find ? }}}}}\: \bigstar}

➻ The required number of people who can speak both English and Spanish .

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Assumption}}}}}\: \bigstar}

<u>Consider</u> ,

➻ A → Set of people who speak English.

➻ B → Set of people who speak Spanish

➻ A∩B → Set of people who can speak both English and Spanish

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Given}}}}}\: \bigstar}

  • ➻ n (A) = 27

  • ➻ n (B) = 25

  • ➻ n (A∪B) = 40

  • ➻ n(A∩B) = ?

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Now}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - n (A∩B)

➻ 40 = 52 - n (A∩B)

➻ n (A∩B) = 52 - 40

➻ ∴ n (A∩B) = 12

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Therefore}}}}}\: \bigstar}

∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>

━━━━━━━━━━━━━━━━━━━━━━

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Verification}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - 12

➻ 40 = 52 - 12

➻ 40 = 40

➻ ∴ L.H.S = R.H.S

━━━━━━━━━━━━━━━━━━━━━━

6 0
2 years ago
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Lana71 [14]

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titutex=cos\alp,\alp∈[0:;π]

\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+

1−x

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∣=

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−1)\Leftright∣cos\alp+sin\alp∣=

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\alp−1)

\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N

2

cos(\alp−

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4

π

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4

π

]

\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−

4

π

)=cos(2\alp)…

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4

3π

;π]

\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−

4

π

)=cos(2\alp)…

1

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6 0
4 years ago
An online grocery store charges $0.10 per pound of produce for handling and delivery after
love history [14]

Answer:

They must buy 501 pounds of produce for the membership to be worth it.

Step-by-step explanation:

You can solve this question by first finding the difference between $0.10 and $0.25.

With some simple subtraction (0.25-0.10) we can find that the difference is that a non-membership person would pay $0.15 per pound.

You then divide 75 by 0.15 to find the extra weight it would take for the produce to equal $75. You should get 500 pounds.

At 500 pounds, the price would be equal if you had a membership or not.

You then must add 1 pound to make it more favorable to have the membership.

At 501 pounds the person with the membership would pay $125.10 and the person without the membership would pay $125.25

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3 years ago
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