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sergiy2304 [10]
3 years ago
10

Jean's scores on the first three of four 100-point tests were 82, 86, and 91. what score must she receive on the fourth test to

have an average of at least 87 points for all the tests
Mathematics
1 answer:
monitta3 years ago
5 0

The total for an average to be 87 would have be 87 x the number of tests or 87 x 4 = 348.

Let's see the total for her previous 3: 82 + 86 + 91 = 259

The 4th one needs to take her from 259 to 348.

348 - 259 = 89. she has 89 'to go" to get that 87 average.

She requires an 89 to achieve an 87 test average.

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Ksivusya [100]
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3 0
3 years ago
PLEASE HELP ME!!!!! THX!! will mark brainliest
denpristay [2]

Answer:

34/112 or 17/56

Step-by-step explanation:

( total 12 graders + total swim team ) - (12 grade and swim team)

26/112 + 16/112 - 8/112

42/112 - 8/112

34/112

6 0
2 years ago
The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle
andrezito [222]

Answer:

l=31\ cm\\\\w=24\ cm

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

A=744\ cm^2

And, according to the exercise, its lenght is 7 more than its width; then:

l=w+7

Then, you can make the corresponding substitution into the formula A=lw:

 744=(w+7)w

Simplify:

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

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31

The width of the rectangle is the positive value:

w=24\ cm

Then, the lenght is:

l=24+7\\\\l=31\ cm

8 0
3 years ago
The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.
Airida [17]

Answer:

a = 2, b = - 5

Step-by-step explanation:

Given

y = ax² + bx

\frac{dy}{dx} is the measure of the slope at x = a

Differentiate each term with respect to x using the power rule

\frac{d}{dx}(ax^{n} ) = nax^{n-1}

\frac{dy}{dx} = 2ax + b, hence

2ax + b = 3 at (2, - 2)

Substitute x = 2 into \frac{dy}{dx}

4a + b = 3 → (1) and substitute x = 2 into y

4a + 2b = - 2 → (2)

Subtract ( 1) from (2)

b = - 2 - 3 = - 5

Substitute b = - 5 into (1)

4a - 5 = 3 ( add 5 to both sides )

4a = 8 ( divide both sides by 4 )

a = 2

7 0
3 years ago
M+4+2-7m+6 I need to find how many’s terms are in it and what are the terms
madreJ [45]

Answer:

5 terms:  m, 4, 2, -7m, 6 are the terms in question.

Step-by-step explanation:

Note that terms here are separated from one another by either + or - signs.

m + 4 consists of two terms, since m and 4 are separated by the + operator.

2 - 7m are separated by the - operator, and so there are two terms here.

Completing the counting procedure, we get:

m (first term) + 4 (second term) + 2 (third term -7m (fourth term) + 6 (fifth term).

So, if we do NOT combine like terms, we have five (5) terms altogether.

If we DO combine like terms, we end up with two (2) terms:

m -7m + 4 + 2 + 6, or -6m + 12, or two (2) terms.

5 0
2 years ago
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