Ask question

Ask question

All categories

brilliants [131]

1 year ago

12

I am thinking of two numbers. The sum of the numbers is 5. The first number is one less than the second number. Write a system o

f equations to represent the situation (you do not have to solve the system, just write the two equations).

1 answer:

Dominik [7]1 year ago

7 0

Answer:

x + y = 5

y = x - 1

Hope this helped!

You might be interested in

Colin invest in £5000 into his bank account. He receives 10% per year simple interest. How much will Colin have after 3 years?

pav-90 [236]

Answer:

£6655

Step-by-step explanation:

Given data

Principal= £5000

Rate= 10%

Time = 3 years

FInal Amount A=???

The expression for the compound interest is given as

A=P(1+r)^t

substitute

A=5000(1+0.1)^3

A=5000(1.1)^3

A=5000*1.331

A= £6655

Hence the final Amount is £6655

5 0

2 years ago

Half a number plus 2.5 times that number equals 18. What is the number?

Sholpan [36]

Answer:

It's 6.

Step-by-step explanation:

this was so confusing

4 0

2 years ago

Triangle BCD is rotated counterclockwise to form

IRISSAK [1]

Answer:

The answer is 90 degrees. Have a good day!

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the area, in square feet, of a triangle whose base is 42⁄3 feet and whose altitude is 84⁄7 feet. A. 135⁄21 B. 20 C. 40 D. 2

CaHeK987 [17]

Answer:

Option B. $20\ ft^{2}$

Step-by-step explanation:

we know that

The area of a triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=4\frac{2}{3}\ ft$

$h=8\frac{4}{7}\ ft$

Convert mixed numbers to an improper fractions

$b=4\frac{2}{3}\ ft=\frac{4*3+2}{3}=\frac{14}{3}\ ft$

$h=8\frac{4}{7}\ ft=\frac{8*7+4}{7}=\frac{60}{7}\ ft$

substitute the values

$A=\frac{1}{2}(\frac{14}{3})(\frac{60}{7})\\ \\A=\frac{14*60}{2*3*7}\\ \\A=\frac{840}{42} \\ \\A=20\ ft^{2}$

5 0

2 years ago

Read 2 more answers

A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

2 years ago