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3 years ago

On Monday you read 3 pages.

Mathematics

2 answers:

spin [16.1K]3 years ago

8 0

Answer:

27 pages

Step-by-step explanation:

Since you read 3 pages on Monday and you read 3 times that number on Tuesday, the equation should be 3*3 to equal 9. Then, since you read 9 pages on Tuesday and 3 times that number on Wednesday, the equation should be 9*3 to equal 27 pages. So, on Wednesday, you read 27 pages in total.

alukav5142 [94]3 years ago

7 0

Answer:

27 pages

Step-by-step explanation:

Monday=3 pages

Tuesday=3 pages × 3

=9 pages

Wednesday=9 pages × 3

=27 pages

hope it helps!!!

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Before the pandemic cancelled sports, a baseball team played home games in a stadium that holds up to 50,000 spectators. When ti

spayn [35]

Answer:

(a) $D(x)=-2,500x+60,000$

(b) $R(x)=60,000x-2500x^2$

(d)Optimal ticket price: $12

Maximum Revenue:$360,000

Step-by-step explanation:

The stadium holds up to 50,000 spectators.

When ticket prices were set at $12, the average attendance was 30,000.

When the ticket prices were on sale for $10, the average attendance was 35,000.

(a)The number of people that will buy tickets when they are priced at x dollars per ticket = D(x)

Since D(x) is a linear function of the form y=mx+b, we first find the slope using the points (12,30000) and (10,35000).

$\text{Slope, m}=\dfrac{30000-35000}{12-10}=-2500$

Therefore, we have:

$y=-2500x+b$

At point (12,30000)

$30000=-2500(12)+b\\b=30000+30000\\b=60000$

Therefore:

$D(x)=-2,500x+60,000$

(b)Revenue

$R(x)=x \cdot D(x) \implies R(x)=x(-2,500x+60,000)\\\\R(x)=60,000x-2500x^2$

(c)To find the critical values for R(x), we take the derivative and solve by setting it equal to zero.

$R(x)=60,000x-2500x^2\\R'(x)=60,000-5,000x\\60,000-5,000x=0\\60,000=5,000x\\x=12$

The critical value of R(x) is x=12.

(d)If the possible range of ticket prices (in dollars) is given by the interval [1,24]

Using the closed interval method, we evaluate R(x) at x=1, 12 and 24.

$R(x)=60,000x-2500x^2\\R(1)=60,000(1)-2500(1)^2=\$57,500\\R(12)=60,000(12)-2500(12)^2=\$360,000\\R(24)=60,000(24)-2500(24)^2=\$0$

Therefore:

Optimal ticket price:$12
Maximum Revenue:$360,000

3 0

3 years ago

If x is a rational number and y is the opposite of x, why do x and y have the same absolute value

grin007 [14]

Answer:

Absolute value is the distance away from zero, so if x is a rational number and y is opposite, they would both be the same distance away from zero, regardless of their sign.

Step-by-step explanation:

Absolute value is the distance of a number away from zero. For example, if x is equal to the rational number -2, the absolute value of -2 is just 2, given that both 2 and -2 are only a distance of 2 away from the number zero. Think of it as your walk or drive to school. If you live 4 miles from school, you drive a distance of 4 miles there and 4 miles back. That distance is not calculated as a positive 4 miles there and a negative 4 miles back, but rather just 4 miles there and 4 miles back, for a total distance of 8 miles. So, if x=4 and y=(-4), the absolute value of both would be 4.

8 0

3 years ago

(9× 3) = (__x 3) + (__x 3)<br> = __ + ____<br><br> = ___

alekssr [168]

Answer:

(4x3)+(5x3)=12+15=27

Step-by-step explanation:

You can multiple both by any number as long as it adds to nine. 4 plus 5=9.

You can also do 3+6=9, or 8+1=9

5 0

3 years ago

You bought a binder for $5 and four notebooks. You spent a total of $17. How much did each notebook cost?

Alenkasestr [34]

Answer:

Step-by-step explanation:

17 - 5 = 12 divided by 4 = 3

4 0

3 years ago

Read 2 more answers

How do i do this y=−x+2 y=3x−4

Paul [167]

Answer:

x = 1.5 , y = 0.5

Step-by-step explanation:

y = - x + 2 → (1)

y = 3x - 4 → (2)

substitute y = 3x - 4 into (1)

3x - 4 = - x + 2 ( add x to both sides )

4x - 4 = 2 ( add 4 to both sides )

4x = 6 ( divide both sides by 4 )

x = $\frac{6}{4}$ = 1.5

substitute x = 1.5 into either of the 2 equations and solve for y

substituting into (1)

y = - 1.5 + 2 = 0.5

5 0

2 years ago