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2 years ago

Graph 24x+25=−6y+7 . Use the line tool and select two points on the line.

Mathematics

2 answers:

steposvetlana [31]2 years ago

4 0

One attached image has how to simplify the equation. The other has the graph.

vladimir2022 [97]2 years ago

3 0

Answer:

Given equation,

24x+25=−6y+7

24x + 6y = 7 - 25

24x + 6y = - 18

If x = 0, 6y = -18 ⇒ y = -3,

Thus, the line intersects y-axis at ( 0, -3)

If y = 0, 24x = -18 ⇒ x = $-\frac{18}{24}=-\frac{3}{4}$

Thus, the line intersects x-axis at ( -3/4, 0)

By joining these points we get the graph of the given line ( shown below )

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Solve the equation or inequality 3/2t-16=4/3t-6

Tamiku [17]

Answer:

t=60

Step-by-step explanation:

3/2t-16=4/3t-6

(subtract 4/3t from both sides)

3/2t-16-4/3t=-6

(add 16 to both sides)

3/2t-4/3t=-6+16

(simplify)

1/6t=10

(divide by 1/6 (or multiply by 6 on both sides)

t=60

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2 years ago

A research organization wanted to estimate the average number of hours a college student sleeps per night during the school year

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

Given given that

Lower confidence interval = 7.1

Upper confidence interval = 7.5

As such, We are 95% confident that it's somewhere between 7.1 and 7.5 hours per night

Average value = LCI + UCI /2 = 7.1 + 7.5 / 2

= 7.3hours per night, so we are 95% confident that it's somewhere between 7.1 and 7.5 hours per night which is eventually 7.3hrs per night.

4 0

2 years ago

The fish population of Lake Collins is decreasing at a rate of 3% per year. In 2004 there were about 1,300 fish. Write an expone

Sergeu [11.5K]

For this case we have a function of the form:
$y = A * (b) ^ x
$ Where,
A: initial amount
b: decrease rate
x: time in years
Substituting values we have:
$y = 1300 * (0.97) ^ x
$
For 2010 we have:
$y = 1300 * (0.97) ^ 6

y = 1083$
Answer:
an exponential decay function to model this situation is:
y = 1300 * (0.97) ^ x
The population in 2010 is:
y = 1083

6 0

2 years ago

Read 2 more answers

Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (2

Firlakuza [10]

Answer:

The value of x is 3 ⇒ 2nd answer

Step-by-step explanation:

An exterior angle is the angle between one side of a triangle and the

extension of an adjacent side

The measure of an exterior angle at any vertex of a triangle equal the

sum of the measures of the two opposite interior angles

- Triangle R T S is sitting on a horizontal line

- Line S R extends through point Q to form exterior angle T R Q

- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°

* Lets find the value of x

∵ ∠TRQ is an exterior angle of Δ RTS at the vertex R

∵ The opposite interior angles to vertex R are ∠RTS and ∠TSR

∴ m∠TRQ = m∠RTS + m∠TSR ⇒ as the rule above

∵ m∠TRQ = (45 x)°

∵ m∠RTS = (25 x)°

∵ m∠TSR = (57 + x)°

Substitute these measures in the equation above

∴ 45 x = 25 x + 57 + x

∴ 45 x = 26 x + 57

Subtract 26 x from both sides

∴ 19 x = 57

Divide both sides by 19

∴ x = 3

* The value of x is 3

3 0

2 years ago

Read 2 more answers

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She rece

Lady bird [3.3K]

Answer:

Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors

Step-by-step explanation:

Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.

From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.

Now, we want to make a calculation for the amount of wood needed for 2100 sailors.

Let’s have it this way;

40 tons = 300 sailors

x tons = 2100 sailors

So mathematically,

x * 300 = 2100 * 40

x = (2100 * 40)/300

x = 280 tons of wood

We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors

8 0

2 years ago

Graph ​ 24x+25=−6y+7 ​. Use the line tool and select two points on the line.

Graph 24x+25=−6y+7 . Use the line tool and select two points on the line.