Solve for x. Express the answer in simplest form,

Answers

Answer 1

Answer: $(6x-1)/(5)=(3)/(1) \ \ \ |\hbox{cross multiply} \n6x-1=3 * 5 \n6x-1=15 \n6x=15+1 \n6x=16 \nx=(16)/(6) \nx=(8)/(3) \nx=2(2)/(3)$

Answer 2

Answer: In order to solve for x, you need to isolate the x on one side. First, you need to multiply the 5 onto the other side to get rid of the fraction. Then, just add 1 and divide by 6 to isolate the x (steps will be shown below):

$(6x-1)/(5)=(3)/(1)\n5((6x-1)/(5))=5(3)\n6x-1=15\n6x-1+1=15+1\n6x=16\n6x/6=16/6\nx=(16)/(6)=(8)/(3)$

So, x = 8/3

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What is 164 rounded to the nearest 10

Answers

The rounded off to the nearest ten of 164 is 160.

What is rounded off?

The process of putting a number up or down to the nearest whole number or the nearest hundred, thousand, etc., is called rounded off.

Given that. 164 rounded to the nearest ten,

To round to the nearest ten we consider the last digit of the number, if it is less than 5 we round down and if greater than 5 we round up,

Here, the number is 164 and the last digit is 4 which is less than 5, hence, we will round down 164,

164 = 160

Hence, the rounded off to the nearest ten of 164 is 160.

Learn more about rounding off, click;

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If the ones place is below 5 it is rounded down, and if the ones place is 5 or greater you round up. 164 has 4 in the ones place, which is less than 5, so you round down to 160.

I need help NOW!!!!!! Thanks!D
Parallelogra
Base (units) Height (units) Area (units)
m
A
4
6
A-24
B
5
3
A-15
C С
D
Any
Parallelogra
m
b
h
A= bh

Answers

Answer:

Answer: Good thing you provided the image!

Working down the columns:

C base= 2

D base = 4

C height =3

D height = 2

C area = bh = 8

D area = bh = 8

Step-by-step explanation:

Try thinking about drawing a rectangle around the entire image of C and D, connecting each of the corners (sort of like what is being done for B) and then you can perceive the b and h.

The trick to D is to turn your head 90 degrees (or sideways) so you can see those 4 boxes as the base.

Step-by-step explanation:

Looking around a farm, the number of chickens is four times the number of pigs. If there are a total of 48 legs between the chickens and the pigs, how many pigs are there on the farm?

Answers

Answer:

There are 4 pigs on the farm

Step-by-step explanation:

Let x be the number of pigs

We are given that the number of chickens is four times the number of pigs.

Number of chickens = 4x

No. of legs of 1 pig = 4

No. of legs of x pigs = 4x

No. of legs of chicken = 2

No. of legs of 4x chicken = 2(4x)=8x

There are a total of 48 legs between the chickens and the pigs

So, $4x+8x=48$

$12x=48$

$x=(48)/(12)$

x=4

Hence There are 4 pigs on the farm

Answer:

Step-by-step explanation:

4p+%2B+2c+=+78

4%2A12+%2B+2%2A15+=+78

48+%2B+30+=+78

78+=+78

7^2*3.14*a=1077.02
What is a?

Answers

A =7

7^2*3.14*7 sorry I did the equation wrong at first

$7^(2) * 3.14 * a =1077.02$
$49 * 3.14 * a =1077.02$
$153.86 * a =1077.02$
$153.86 / 1077.02 = 7$
$a=7$

Need help ASAP1) A new truck that sells for $42,000 depreciates 11% each year. write a function that models the value of the truck. Find the value of the truck after 8 years. Round to the nearest dollar.

2) Earl mows lawns one weekend. He earns $15 for each lawn that he mows. He spends $50 on gas and other supplies. What function equation represents Earl's profit from mowing x lawns?

A)f(x)=50x-15
B)f(x)=50x+15
C)f(x)=15x-50
D)f(x)=15+50

3) find the common geometric series.
-2,-4,-8,-16.....

Answers

Answer:

$\boxed{1) V = 40 000(0.89)^(n), \text{\$15 746; }\text{2) C) f(x) = 15x - 50 ; 3) }a_(n) = -2^(n)}$

Step-by-step explanation:

1) Depreciation

The formula for the value V of an asset after depreciation by an annual percentage rate is

V = P(1 - r)ⁿ

where

P = present value

r = annual percentage rate

n = number of years

Data:

V = 40 000

r = 11 % = 0.11

n = 8 yr

Calculations:

(a) Function model

V= 40 000(1 - 0.11)ⁿ = 40 000(0.89)ⁿ

The function model is $\boxed{ V= 40 000(0.89)^(n) }$

(b) Future value

V = 40 000(0.89)ⁿ = 40 000 × 0.393 659 = $15 746

In eight years, the truck will be worth $\boxed{ \text{\$15 476}}.$

2) Profit function

Income from 1 lawn = $15

Income from x lawns = 15x

Less gas and supplies = -50

Net income = 15x – 50

The function is $\boxed{f(x) = 15x - 50}$ .

3) Geometric series

(a) Calculate the common ratio

a₁ = -2

a₂ = -4

a₃ = -8

a₄ = =16

The ratios of consecutive pairs are

a₄/a₃ = -16/(-8) = 2

a₃/a₂ = -8/(-4) = 2

a₂/a₁ = -4/(-2) = 2

All adjacent pairs have the same common ratio r = 2.

(b) Write the formula for the series

The formula for the nth term of a geometric series is

aₙ = a₁rⁿ⁻¹

If a₁ = -2, the formula for the series is

aₙ = -2(2)ⁿ⁻¹ = -2ⁿ

The formula for the series is $\boxed{a_(n) = -2^(n)}$ .

What are the first five multiples of 9

Answers

Answer: 0, 9, 18, 27, and 36

Step-by-step explanation: To find the first five multiples of 9, multiply 9 by the first 5 whole numbers {0, 1, 2, 3, 4}.

0 x 9 = 0

1 x 9 = 9

2 x 9 = 18

3 x 9 = 27

4 x 9 = 36

So the first five multiples of 9 are 0, 9, 18, 27, and 36.

9*1 = 9
9*2 = 18
9*3 = 27
9*4 = 36
9*5 = 45

The first five multiples of 9 are 9, 18, 27, 36, 45~