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Amiraneli [1.4K]
4 years ago
9

Tony took a math quiz last week. There were 80 problems on the quiz and Tony answered 70% of them correctly. How many problems d

id Tony get correct?
Answer: 56


(not a question but just trying to help) :)
Mathematics
2 answers:
Nutka1998 [239]4 years ago
7 0

Answer:

56 problems

Step-by-step explanation:

So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.

Tony's quiz had 80 questions

Tony correctly answered 70% of them.

We can always write a percentage amount as a ratio by dividing the amount by 100.

70\% = \frac{70}{100} = 0.7.

This means that for every 100 questions, tony will respond correctly 70.

So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:

C = n*\frac{70}{100}

If n = 80 then:

C = 80 * \frac{70}{100}\\\\C = 56

Alja [10]4 years ago
5 0

<u>Answer:</u>

The correct answer is 56.

<u>Step-by-step explanation:</u>

We are given that there were 80 problems on the quiz and Tony answered 70% of them correctly.

We are are to find the number of problems Tony get correct.

Problems Tony got correct = \frac { 7 0 } { 1 0 0 } \times 8 0 = 56

Therefore, Tony got 56 problems right out of 80 on his math quiz.

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s2008m [1.1K]

Answer:

x = -3

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Step-by-step explanation:

<u>Given</u><u> </u><u>equations</u><u> </u><u>:</u><u>-</u><u> </u>

<u>-x</u><u> </u><u>+</u><u> </u><u>2</u><u>y</u><u> </u><u>=</u><u> </u><u>3</u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u> </u><u>(</u><u> </u><u>i</u><u> </u><u>)</u>

<u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>6</u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u> </u><u>(</u><u> </u><u>ii</u><u> </u><u>)</u>

<u>From</u><u> </u><u>(</u><u> </u><u>i</u><u> </u><u>)</u><u> </u><u> </u>

<u>-x</u><u> </u><u>+</u><u> </u><u>2</u><u>y</u><u> </u><u>=</u><u> </u><u>3</u><u> </u>

<u>-x</u><u> </u><u>=</u><u> </u><u>3</u><u> </u><u>-</u><u> </u><u>2</u><u>y</u><u> </u>

<u>x</u><u> </u><u>=</u><u> </u><u>2</u><u>y</u><u> </u><u>-</u><u> </u><u>3</u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u> </u><u>(</u><u> </u><u>iii</u><u> </u><u>)</u>

<u>From</u><u> </u><u>(</u><u> </u><u>ii</u><u> </u><u>)</u><u> </u>

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<u>x =  \frac{ - 6 + 3y}{2}</u>

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<u>2y - 3 =  \frac{ - 6 + 3y}{2}</u>

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The length of rectangle is 31 yards and width is 24 yards.

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = w+7

Area of rectangle = 744 square yards

Area = Length * width

744=w(w+7)\\744=w^2+7w\\0=w^2+7w-744\\w^2+7w-744=0

Factorizing the equation

w^2+31w-24w-744=0\\w(w+31)-24(w+31)=0\\(w+31)(w-24)=0

Either,

w+31=0,    =>w= -31

Or,

w-24=0     =>w=24

As width cannot be negative, therefore,

Width = 24 yards

Length = w+7 = 24+7 = 31 yards

The length of rectangle is 31 yards and width is 24 yards.

Keywords: area, rectangle

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4 years ago
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EastWind [94]

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Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

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For putting value of y in second equation, we will find from equation 1

From equation 1:

2x-y=-10\\-y=-10-2x\\y=10+2x

Putting value of y i.e y=10+2x in equation (2) to find value of x

2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}

So, now finding value of y by putting value of x= -29/4 in eq(1)

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So, value of x is x=-\frac{29}{4} and value of y is y=-\frac{9}{2}

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