All categories

2 years ago

One number is eight more than a second number. Five times the first is 8 less than 2 times the second. Find the numbers.

Mathematics

1 answer:

Elena-2011 [213]2 years ago

4 0

Step-by-step explanation:

let the 2 numbers be x and y.

x - 8 = y --(1)

5x = 2y - 8 --(2)

sub (1) into (2):

5x = 2(x - 8) - 8

5x = 2x - 24

3x = -24

x = -8

sub x = -8 into (1):

y = -8 - 8 = -16

first number is -8 and second number is -16.

Topic: algebraic equations + simultaneous equation

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

You might be interested in

Write an equation for each sentence 13 times the sum of a number and 5 is 91 I

Volgvan

Answer:13( n + 5) = 91

Step-by-step explanation: solve the parenthesis first and then multiply that by 13

7 0

3 years ago

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

a) The x-axis

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {y.y^2} \, dy$

∴ Vol = 8π

b) The line y = 2 ( using the shell method )

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀

∴ Vol = 8/3 π

c) The y-axis ( using shell method )

h = 2-y = h = 2 - √x

p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

= $(2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx$

= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

d) The line x = -1 (using shell method )

p = 1 + x

h = 2√x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

Hence vol = 176/15 π

attached below is the graphical representation of P and h

3 0

3 years ago

Shashi Rimoko earns $620 per week as a chef. He has group

finlep [7]

Out of the weekly amount that Shashi Rimoko makes, a deduction of $37.93 is made for insurance.

The total Medical cost is $9,560 and out of this, the amount paid by Shashi per year is:

= Amount x (1 - percentage paid by restaurant)

= 9,560 x ( 1 - 80%)

= $1,912

The amount he pays for Dental coverage is:

= Amount x (1 - percentage paid by restaurant)

= 172 x (1 - 65%)

= $60.20

The total amount he pays for insurance per year is:

= Medical + Dental

= 1,912 + 60.20

= $1,972.20

The weekly deduction is:

= Year amount / No. of weeks in year

= 1,972.20 / 52

= $37.93

In conclusion, $37.93 is deducted from his paycheck every week.

Find out more at brainly.com/question/16711490.

4 0

2 years ago

IMAX theaters have the world’s largest screens. There are numerous IMAX theaters around the world. The Henry Ford Museum in Dear

SCORPION-xisa [38]

The dimensions would be 5 ft by 7 ft.

4 0

3 years ago

Read 2 more answers

Use perfect square factoring patterns y^2 + 16y + 64 = 0

Pepsi [2]

Arrange your given equation to resembles the form
a^2 +2ab+ b^2 because this equals (a+b)^2

So we get:
y^2+16y+8^2=0

Now compare
y^2+16y+8^2 to a^2 +2ab+ b^2

So we got
y^2+2•8 y+8^2=0 which equals (y+8)^2

8 0

3 years ago