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3 years ago

Double number line 3t+15=45

Mathematics

1 answer:

Reika [66]3 years ago

4 0

Answer:

t=-10 or t=20

Step-by-step explanation:

We want to solve the equation:

$|3t - 15| = 45$

We use the definition of the absolute value function to get:

$- (3t - 15) = 45 \: or \: (3t - 15) = 45$

Divide through the first equation by -1 to get:

$3t - 15 = - 45 \: or \: 3t - 15 =45$

We now add 15 to both sides of the equation to get:

$3t = - 45 + 15 \: or \: 3t =45 + 15$

$3t = - 30 \: or \: 3t =60$

Divide through by 3

$t = - 10 \: or \: t = 20$

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kirza4 [7]

Step-by-step explanation:

A. 18√2

= 25.4558441227

B. 18/√3

= 6√3

= 10.39230485

C. 18√2 /√3

= 6√6

= 14.69693846

D. 18 · √3 / √2

= 9√6

= 22.04540769

6 0

3 years ago

a rectangle swimming pool is 4 ft deep. one side of the pool is 2.5 times longer than the other. the amount of water needed to f

mojhsa [17]

Find the are of the pool by dividing the volume by the depth:

1960 / 4 = 490

The pool is 490 square feet.

Area is found by multiplying the length by the width.

Let the width = X

We are told the length is 2.5X ( 2.5 times longer)

So we now have 2.5x * x = 490

2.5x * x = 2.5x^2

Now we have 2.5x^2 = 490

Divide both sides by 2.5:

x^2 = 490/2.5

x^2 = 196

find X by taking the square root of 196:

x = √196

x = 14

The width is 14 feet

The length is 2.5 * 14 = 35 feet

8 0

3 years ago

Ethan lives 2 5/12 miles from school. Marquis lives 7/12 mile closer to school than ethan. How far does marquis live from school

goblinko [34]

Answer:

1 5/6 miles

Step-by-step explanation:

first, we take the amout ethan lives from school, and turn it into a mixed number

2 5/12 = 29/12

marquis lived 7/12 mile closer

so, we have to subtract that from how far away ethan lives

29/12 - 7/12 = 22/12

22/12 simplified is 1 10/12 or 1 5/6

7 0

2 years ago

Find two consecutive whole numbers that the square root of 105 lies between

erastovalidia [21]

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121

Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

4 0

3 years ago

John is selling tickets to an event. Attendees can either buy a general admission ticket, x,

Masteriza [31]

John sold 18 general admission tickets and 11 VIP tickets.

Step-by-step explanation:

Given,

Cost of each general admission = $50

Cost of each VIP ticket = $55

Total tickets sold = 29

Total revenue generated = $1505

Let,

x represent the number of general admission tickets sold

y represent the number of VIP tickets.

x+y=29 Eqn 1

50x+55y=1505 Eqn 2

Multiplying Eqn 1 by 50

$50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55$

Dividing both sides by 5

$\frac{5y}{5}=\frac{55}{5}\\y=11$

Putting y=11 in Eqn 1

$x+11=29\\x=19-11\\x=18$

John sold 18 general admission tickets and 11 VIP tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago