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Ray Of Light [21]
3 years ago
6

Scarborough High School ordered several replacement books for the mathematics department. When the box of books arrived at the h

igh school, it contained Algebra I, Geometry, and Algebra II textbooks. A label on the box reads: “Contents: 23 books, Weight: 93 lbs.” An Algebra I book weighs 4 pounds, a Geometry book weighs 3 pounds, and an Algebra II book weighs 5 pounds. The number of Geometry books and Algebra II books combined is one less than the number of Algebra I books.
Formulate a system of equations to represent the problem situation.
Solve the system of equations to determine the number of Algebra I textbooks, the number of Geometry textbooks, and the number of Algebra II textbooks that are in the box.
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

Let us represent the number of books as:

Algebra 1 = A1

Algebra 2 = A2

Geometry = G

A1 + A2 + G = 23........Equation 1

An Algebra I book weighs 4 pounds, a Geometry book weighs 3 pounds, and an Algebra II book weighs 5 pounds.

4A1 + 5A2 + 3G = 93

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8 times the quotient of difference of a number X and 2 and 10
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Answer:

(4x - 8)/5

Step-by-step explanation:

8(x - 2/10)

= (8x - 16)/10

= (4x - 8)/5

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3 years ago
Please help me quick! <br><br> Find the sums and differences 8 -- 0.21
Rama09 [41]

Answer:

8 + .21 = 8.21

8 - .21 = 7.79

Step-by-step explanation:

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3 years ago
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I need help ASAP PLEASEEEEEEEE
Lorico [155]

Answer:

g has an average rate of change of zero at the intervals [-5,4] and [-2,2]

Step-by-step explanation:

When we talk of the average rate of change, we mean the change in y values divided by the change in x values

Once the change in y-values is zero, then over that interval, the average rate of change is zero

at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6

As we can see here, within the interval [-5,4]; the average rate of change is 0

This same pattern is repetitive at points or ranges where we have same values for g(t)

such as;

[-2,2]

5 0
3 years ago
The following table gives projections of the
stellarik [79]

The function that models the growth of the population is P = 276.6e^0.009t

<h3>What is the function?</h3>

We can see that the table shows the increase in population over time. We know that population growth is an example of exponential function. We have to apply the formula of exponential function.

Let us now obtain the function that could show the population at each time;

Given that;

Po = initial population

P = population at time t

r = rate of population growth

P = Poe^rt

P = 305.9

r = ?

t = 10

Po = 276.6

Substituting values;

305.9 = 276.6e^10r

305.9/276.6 = e^10r
1.1 = e^10r

ln 1.1 = 10r

r = ln1.1/10

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Thus the function is;

P = 276.6e^0.009t

Learn more about population growth:brainly.com/question/18415071

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8 0
2 years ago
Find the value of x if b is the midpoint of AC, AB=3-2x, BC=x-12
Galina-37 [17]

-------------------------------------

Answer:

<u>5 = x</u>

--------------------------------------

Step-by-step explanation:

AB ≅ BC (because median cuts a line segment into two equal (congruent ≅) parts

Set up your equation now:

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3 + 12 = 2x + x

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15/3 = x

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3 years ago
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