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3 years ago

What is d equal to? 3(2d-8)=11d-18(d-3)

Mathematics

1 answer:

never [62]3 years ago

6 0

Answer:

d = 6

Step-by-step explanation:

3(2d-8)=11d-18(d-3)

6d - 24 = 11d -18d +54

6d-11d+18d = 24+54

13d = 78

d = 6

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Graph by using the slope and the y intercept.

Mashutka [201]

1. a) equation of the line :

$y = \dfrac{2}{5}x - 7$

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

$y = (\dfrac{2}{5} \times 5) - 7$

$y = 2 - 7$

$= - 5$

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

$y = - 3x + 5$

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

$y =( - 3 \times 1) + 5$

$y = - 3 + 5$

$y = 2$

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

6 0

2 years ago

A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing according to the función f(t)

TiliK225 [7]

Answer:

0 ≤ t ≤ 5.

Step-by-step explanation:

In the function $f(t)$ , $t$ is the independent variable. The domain of $f$ is the set of all values of $t$ that this function can accept.

In this case, $f(t)$ is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,

$t \ge 0$ .
$f(t) \ge 0$ .

The first condition is an inequality about $t$ , which is indeed the independent variable.

However, the second condition is about $f$ , the dependent variable of this function. It has to be rewritten as a condition about $t$ .

$\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}$ .

Hence, t ≤ 5.

Combine the two inequalities to obtain the domain:

0 ≤ t ≤ 5.

6 0

2 years ago

What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to the nearest hundredth if necess

zvonat [6]

The answer is D. Hope this helped =)

3 0

3 years ago

Sales at an airport shop has increased by 25 transactions to a total of 400 transactions per day. What is the increased transact

Zielflug [23.3K]

Answer:

6.66

Step-by-step explanation:

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2 years ago

Which of the following numbers is closest to 7?

Sphinxa [80]

Answer:

B. √50

Step-by-step explanation:

$7^{2}$ is 49 so √49 is 7

So,

since the <u>closest number to 49 is 50</u>, that is the answer.

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2 years ago