No 13 perimeter and the area of the rectangle.40 km/h and3y km at 50 km/h is 11 hoursson. How old were they three years ago?The diagram below is a rectangle. Find thetive numbers is 2200. If the differenceA pen and a ruler cost N30. If the pen coor senior secondary schools (2)O The sum of the ages of a woman and her 5.4 Graphidifference is 20. Find the two numbersat 40 km/h and takes 2 hours for thewill be three and half times as old as herits width. If the perimeter of the rectangle isA man travels x km at 60 km/h and y kmbetween the two numbers is 22, find theThe product of two numbers is-30 and their64 cm, find the area of the rectangle.The length of a rectangle is 8 cm longer thanjourney. If the time taken to travel 5x km atson is 64 years. In 4 years time the womanNote: For more examples, see WABP E17 The difference of the squares of two posi-One angle of a triangle is 70°. If the diffeSimultaneous linear and otial Mathematics JSS book 3 chapter 1sand QuExercise 5.4To use graphica(1)and thI The sum of two numbers is 110cquation on theand y coordinatecross to obtain(2)Example 5.13Solve the folegraphically.y 2x+x-5N8 more than the ruler, how much doeitem cost?ence between the other two angles isfind the two angles.Tubers of yams are Ny per kg andare Np each. 4 kg of yams and 24 plantacost N200, while 8 kg of yams and 10 platains cost N210. Find the combined costda kg tuber of yam and a plantain.A doctor and three nurses in a hospital to-gether earn N255 000 per month, whilethree doctors and eight nurses togetherearns N720 000 per month. Calculate(a) how much a doctor earns per month.(b) how much a nurse earns per month.Solution42 minutes, find x and y.Make a table olplantan-3 -2r 18(5x + 5) cm-3(5x- y) cm-5-5(4x + 1) cm10yold(x + 7y) cmMake a table oneirges(Hint: opposite sides are equal, so equateopposite sides to form two equations)15 Find the perimeter and the area of the equi-lateral triangle in the diagram below.-25.Remember thapoints are suffindIn a positive number of two digits, the sumof the digits is 15. If the digits are inter-changed, the number is increased by 9. Findthe number.(WAEC)口口口Find a two-digit number such that threetimes the tens digit is 2 less than twice theunits digit, and twice the number is 20greater than the number obtained by revers-ing the digits.8.(JAMB)(a + 5) cmFive years ago, a father was 3 times as oldas his son, now their combined ages amountto 110 years. How old are they?(Hint: All sides are equal, so equate oneSide to each of the other two to form twoequations).(JAMB)9 Np is invested at 10% and Ng is invested at12%. The annual income from these in-vestments is N3800. If these investmentsare interchanged the annual income will beN3900. Find p and q.10 The ages of a man and a woman are in uheratio 5: 4. In 12 years' time the ratio oftheir ages will be 19:16. How old are theySum is -1. Find the two numbers.Notice that theQ as shown. Rthe dotted linetwo numbers.now?(2a - b) cm(2b + 8) cm

Speed, time, and distance are related to each other by the following formula: speed=distancetime…

Answered: 13 A man travels x km at 60 km/h and y…

13 A man travels x km at 60 km/h and y km 1 40 km/h and takes 2 hours for the journey. If the time taken to travel 5x km at 40 km/h and 3y km at 50 km/h is 11 hours 42 minutes, find x and y. y

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

No 13

perimeter and the area of the rectangle.
40 km/h and3y km at 50 km/h is 11 hours
son. How old were they three years ago?
The diagram below is a rectangle. Find the
tive numbers is 2200. If the difference
A pen and a ruler cost N30. If the pen co
or senior secondary schools (2)
O The sum of the ages of a woman and her 5.4 Graphi
difference is 20. Find the two numbers
at 40 km/h and takes 2 hours for the
will be three and half times as old as her
its width. If the perimeter of the rectangle is
A man travels x km at 60 km/h and y km
between the two numbers is 22, find the
The product of two numbers is-30 and their
64 cm, find the area of the rectangle.
The length of a rectangle is 8 cm longer than
journey. If the time taken to travel 5x km at
son is 64 years. In 4 years time the woman
Note: For more examples, see WABP E
17 The difference of the squares of two posi-
One angle of a triangle is 70°. If the diffe
Simultaneous linear and o
tial Mathematics JSS book 3 chapter 1s
and Qu
Exercise 5.4
To use graphica
(1)
and th
I The sum of two numbers is 110
cquation on the
and y coordinate
cross to obtain
(2)
Example 5.13
Solve the fole
graphically.
y 2x+x-5
N8 more than the ruler, how much doe
item cost?
ence between the other two angles is
find the two angles.
Tubers of yams are Ny per kg and
are Np each. 4 kg of yams and 24 planta
cost N200, while 8 kg of yams and 10 pla
tains cost N210. Find the combined costd
a kg tuber of yam and a plantain.
A doctor and three nurses in a hospital to-
gether earn N255 000 per month, while
three doctors and eight nurses together
earns N720 000 per month. Calculate
(a) how much a doctor earns per month.
(b) how much a nurse earns per month.
Solution
42 minutes, find x and y.
Make a table ol
plantan
-3 -
2r 18
(5x + 5) cm
-3
(5x- y) cm
-5
-5
(4x + 1) cm
10
y
old
(x + 7y) cm
Make a table o
neir
ges
(Hint: opposite sides are equal, so equate
opposite sides to form two equations)
15 Find the perimeter and the area of the equi-
lateral triangle in the diagram below.
-2
5.
Remember tha
points are suffi
nd
In a positive number of two digits, the sum
of the digits is 15. If the digits are inter-
changed, the number is increased by 9. Find
the number.
(WAEC)
口
口口
Find a two-digit number such that three
times the tens digit is 2 less than twice the
units digit, and twice the number is 20
greater than the number obtained by revers-
ing the digits.
8.
(JAMB)
(a + 5) cm
Five years ago, a father was 3 times as old
as his son, now their combined ages amount
to 110 years. How old are they?
(Hint: All sides are equal, so equate one
Side to each of the other two to form two
equations).
(JAMB)
9 Np is invested at 10% and Ng is invested at
12%. The annual income from these in-
vestments is N3800. If these investments
are interchanged the annual income will be
N3900. Find p and q.
10 The ages of a man and a woman are in uhe
ratio 5: 4. In 12 years' time the ratio of
their ages will be 19:16. How old are they
Sum is -1. Find the two numbers.
Notice that the
Q as shown. R
the dotted line
two numbers.
now?
(2a - b) cm
(2b + 8) cm

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