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2 years ago

15 less than 2 times a number is the same as 7 more than half of the number. what is the number?

Mathematics

1 answer:

romanna [79]2 years ago

5 0

Answer:

x = 14 and 2/3

Step-by-step explanation:

Make an equation where x is the number.

2x - 15 = 7 + 1/2x

Then, solve the equation.

multiply both sides by 2 to get rid of the fraction

4x - 30 = 14 + x

subtract x from both sides

3x - 30 = 14

add 30 to both sides

3x = 44

divide both sides by 3

x = 14 and 2/3

You might be interested in

121-y=197 Solve for y

netineya [11]

Answer:

-76

Step-by-step explanation:

121 - y = 197

-121 -121

-y = 76

*-1 *-1

y = -76

4 0

1 year ago

What is the quotient of −1 and y

Tom [10]

Answer:

-1/y

Step-by-step explanation:

This quotient is the result when you divide y into -1: -1/y

3 0

2 years ago

jolli1 [7]

Answer:

Part 1) $r=3.5\%$

Part 2) $t=6\ years$

Part 3) $21.9\ ft$

Step-by-step explanation:

Part 1) we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

Let

x -----> amount of money to be invested

2x ---> Final Investment Value

we have

$t=20\ years\\ P=\$x\\A=\$2x\\r=?$

substitute in the formula above

$2x=x(e)^{20r}$

$2=(e)^{20r}$

Apply ln both sides

$ln(2)=ln[(e)^{20r}]$

$ln(2)=(20r)ln(e)$

$ln(2)=(20r)$

$0.693=(20r)$

$r=0.693/20$

$r=0.035$

$r=3.5\%$

Part 2) we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

Let

x -----> amount of money to be invested

2x ---> Final Investment Value

we have

$t=?\ years\\ P=\$x\\A=\$2x\\r=0.126$

substitute in the formula above

$2x=x(e)^{0.126t}$

$2=(e)^{0.126t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.126t}]$

$ln(2)=(0.126t)ln(e)$

$ln(2)=(0.126t)$

$0.693=(0.126t)$

$t=0.693/0.126$

$t=5.5=6\ years$

Part 3) we have

$f(x)=18.4+2.5ln(x+1)$

where

f(x) -----> is the long jump record in feet

x -----> the number of years since the school was opened

For x=3 years

substitute

$f(3)=18.4+2.5ln(3+1)$

$f(3)=18.4+2.5ln(4)$

$f(3)=18.4+2.5(1.386)$

$f(3)=21.9\ ft$

4 0

2 years ago

Which two equations have a solution of x=16

HACTEHA [7]

｡☆✼★ ━━━━━━━━━━━━━━ ☾

I'm not entirely sure of how complex or simple you need them so I'll put a few options that all solve to x = 16.

7x - 6 = 106

x / 4 = 4

3x + 7 = 55

8x = 128

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

｡☆✼★ ━━━━━━━━━━━━━━ ☾

5 0

2 years ago

Read 2 more answers

In witch quadrant dose the point -4,15 lie

andriy [413]

check the picture below.

3 0

2 years ago

Read 2 more answers