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den301095 [7]
2 years ago
14

A textbook store sold a combined total of 473 chemistry and sociology textbooks in a week. The number of sociology textbooks sol

d was 59 less than the number of chemistry textbooks sold. How many textbooks of each type were sold?
Mathematics
1 answer:
lianna [129]2 years ago
5 0

Answer:

I. C = 266 textbooks.

II. S = 207 textbooks.

Step-by-step explanation:

Let the chemistry textbook be C.

Let the sociology textbook be S.

Translating the word problem into an algebraic expression, we have;

C + S = 473 ..... equation 1

S = C - 59 ..... equation 2

Substituting eqn 2 into eqn 1, we have;

C + C - 59 = 473

2C - 59 = 473

2C = 473 + 59

2C = 532

C = 532/2

C = 266 textbooks.

Next, we would determine the value of S;

S = C - 59

S = 266 - 59

S = 207 textbooks.

Check:

C + S = 473

266 + 207 = 473

473 = 473

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dezoksy [38]

Problem 11

Answer: Angle C and angle F

Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.

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

Problem 12

Answer: 100 degrees

Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.

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

Problem 13

Answer: 80 degrees

Explanation: This was mentioned earlier in problem 11.

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

Problem 14

Answers: complement = 50, supplement = 140

Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.

7 0
3 years ago
Given the probability histogram pictured for a discrete random variable X, what is μx?
zubka84 [21]

Answer:

Step-by-step explanation:

x

8 0
3 years ago
Read 2 more answers
F(1) = 5
MatroZZZ [7]

Answer:

a(7)=3645

Step-by-step explanation:

you have :

f(1) =a= 5

and from recursive rule: f(n) = r · f(n − 1) and f(n) = 3 · f(n − 1)

So r=3

then

a(n)=a*r^(n-1)

a(7)=5*3^(7-1)

a(7)=5*3^6=3645

<em>hope this helps</em>

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7 0
2 years ago
Lisa's favorite chocolate candies are wrapped in the shape of a triangular prism with shiny gold paper as shown below. if all si
ANEK [815]
It is 96.
triangular part:
1/2 a* g = 1/2 * 8 * 3 = 12 = d
c = √(3²+(8/2)²)=5
square part:2*c + 2*b = 7*2 + 5 * 2 = 24 = e
since you have 2x triangular and 3x squares

2*d+ 3*e = 96
7 0
3 years ago
Read 2 more answers
write an expression for the sequence of operations described below. add s to t, add the result to r, then raise what you have to
Kobotan [32]

Answer:

(s+t+r)^7

Step-by-step explanation:

<u>Sequential Operations </u>

Mathematical operations can be done in sequence or in batches if they are of the same type. For example, we can add many terms in one single operation, but we cannot add and multiply in one go, because there are priorities when dealing with products and sums. Same happens with powers.

In our problem we are required to perform a sequence of operations like follows

Add s to t:

s+t

Add the result to r

s+t+r

Raise what you have to the 7th power

\boxed{(s+t+r)^7}

This is the final result

6 0
3 years ago
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