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Annette [7]
3 years ago
7

If 84 cookies will serve 24 students, how many cookies are needed for 30 students ?

Mathematics
2 answers:
Basile [38]3 years ago
7 0

Answer: 105


Step-by-step explanatio: each student gets 3 and a half cookies 3.5 cookies times 30 equals 105


allsm [11]3 years ago
6 0
105 cookies
84 \div 24 = 3.5
3.5 \times 30 = 105
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A uniform density curve goes from negative 5 to positive 1.
Natali [406]

Answer: Choice B) One-sixth

In other words, the fraction 1/6

===========================================================

Explanation:

The base, aka horizontal component, is 6 units long. Count out the spaces from -5 to 1 to get a result of 6.

Or you could subtract and use absolute value in either of these two ways

  • |A - B| = |-5 - 1| = |-6| = 6
  • |B - A| = |1 - (-5)| = |1 + 5| = |6| = 6

Where A = -5 and B = 1 are the endpoints mentioned. Absolute value is used to ensure the result of the subtraction isn't negative. Negative distance on a number line doesn't make sense.

----------

However you determine the base, we'll multiply it by the unknown height which we'll call h. This leads to the area of the rectangle. The area is 6h.

Rule: The area under a probability density curve must <u>always</u> be 1.

So the area 6h must be 1 which helps us see that...

6h = 1

h = 1/6

Divide both sides by 6 to isolate h fully.

3 0
1 year ago
Find either the maximum or the minimum value of the following quadratic equation. Be sure to show all of your work and identify
podryga [215]

Answer:

the minimum is (1,-9)

Step-by-step explanation:

y = 5x^2 - 10x - 4

since the parabola opens upward  5>0, this will have a minimum

it will occur along the axis of symmetry h=-b/2a

y =ax^2 +bx+c

h = -(-10)/2*5

h  = 10/10 =1

the minimum occurs at x =1

the y value for the minimum is calculated by substituting x =1 back into the equation

y = 5 * 1^2 - 10*1 -4

y = 5*1^2 -10 -4

y = 5-10-4

y = -9

the minimum is (1,-9)

6 0
3 years ago
Which function is linear?
jeka57 [31]

Answer:

C

Step-by-step explanation:

Option C is the only one that's linear because it follows all of the rules for a line to be linear. To check, use the process of elimination:

A). When x is an absolute value, the line will not be linear because an input will have two outputs.

B). x cannot be in the denominator of a fraction for the line to be linear

D). Once again, x cannot be an absolute value.

*Note: I'm assuming in option B, 7x is in the denominator and 1 is in the numerator. If the fraction is simply​ 1/7 multiplied by x, it is linear along with C.

5 0
3 years ago
Would someone help me with this question please?
umka2103 [35]

Answer:

49

Step-by-step explanation:

Root is the opposite of a power of 2.

Find 7 to the power of 2 to find the number inside:

7^2 = 7 * 7 = 49

49 is your answer, or B)

~

5 0
2 years ago
Read 2 more answers
The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest hu
beks73 [17]

Answer:

$2.79 per pound of apples.

0.36 pounds per dollar.

The unit rate representing cost of per pound apples is typically used.

Step-by-step explanation:

We have been given that the weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95.

Since we know when rates are expressed as a quantity of 1, such as 100 meter per second or 5 miles per hour, they are called unit rates. We need to have 1 in our denominator to express two quantities as unit rate.

Let us find the unit rate in terms of cost of per pound bag of apples.

\text{Unit rate as the cost of organic apples per pound}=\frac{\$13.95}{5 \text{ pounds of organic apples}}

\text{Unit rate as the cost of organic apples per pound}=\frac{\$2.79} {\text{ pound of organic apples}}

Therefore, our unit rate will be $2.79 per pound of apples.

Let us find unit rate of pounds of apples per dollar.

\text{Unit rate as the pounds of organic apples per dollar}=\frac{5\text{ pounds of organic apples}}{\$13.95}

\text{Unit rate as the pounds of organic apples per dollar}=\frac{0.3584 \text{ pounds of organic apples}}{\$}

\text{Unit rate as the pounds of organic apples per dollar}\approx \frac{0.36 \text{ pounds of organic apples}}{\$}

Therefore, our another unit rate will be 0.36 pounds per dollar.

Since, we purchase apples or other items according to their price per piece or their price per pound in our daily life, therefore, the unit rate representing cost of per pound apples is typically used.

3 0
3 years ago
Read 2 more answers
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