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4 years ago

13

What is the answer to 5+5(x+4)≤20?

2 answers:

Nata [24]4 years ago

7 0

$5+5\left( x+4 \right) \le 20\\ \\ 5\left\{ 1+\left( x+4 \right) \right\} \le 20\\ \\ \frac { 1 }{ 5 } \cdot 5\left\{ 1+\left( x+4 \right) \right\} \le 20\cdot \frac { 1 }{ 5 }$

$\ \\ 1+\left( x+4 \right) \le 4\\ \\ 1+x+4\le 4\\ \\ x+5\le 4\\ \\ x\le 4-5\\ \\ x\le -1$

sashaice [31]4 years ago

7 0

$5+5(x+4) \leq 20$

$5+5x+20 \leq 20$

$5+5x \leq 0$

$5(1+x) \leq 0$

$1+x \leq 0$

$x \leq -1$

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The velocity of an object is given by the following function defined on a specified interval. Approximate the displacement of th

harkovskaia [24]

Answer:

The displacement of the object on this intervals is 1.33 m.

Step-by-step explanation:

Given that,

The function of velocity is

$v=\dfrac{1}{2t+4}\ m/s$

For 0 ≤ t ≤8 , n = 2

We need to calculate the intervals

Using formula for intervals

For, n = 1

$\Delta x=\dfrac{t_{f}-t_{i}}{n}$

$\Delta x=\dfrac{8-0}{2}$

$\Delta x=4$

So, The intervals are (0,4), (4,8)

We need to calculate the velocity

Using given function

$v=\dfrac{1}{2t+4}$

For first interval (0,4),

Put the value into the formula

$v_{0}=\dfrac{1}{2\times0+4}$

$v_{0}=\dfrac{1}{4}$

For first interval (4,8),

Put the value into the formula

$v_{4}=\dfrac{1}{2\times4+4}$

$v_{4}=\dfrac{1}{12}$

We need to calculate the total displacement

Using formula of displacement

$D=(v_{0}+v_{4})\times(\Delta x)$

Put the value into the formula

$D=(\dfrac{1}{4}+\dfrac{1}{12})\times4$

$D=1.33\ m$

Hence, The displacement of the object on this intervals is 1.33 m.

5 0

4 years ago

During the week, Brittney earned 1/4 and 1/3 of her monthly bonus on two sales transactions. If those bonuses amounted to $840,

EleoNora [17]

Answer:

$142.86

Step-by-step explanation:

Let the bonus be x

This implies that

$\frac{1}{3}x + \frac{1}{4}x = 840$

Multiplying through by the L. C. M(that is 12)

$12 \times \frac{1}{3}x + 12 \times \frac{1}{4}x = 12 \times 840$

$\implies4x + 3x=10080$

$\implies7x=10080$

Dividing through by 7

$\implies \frac{7x}{7} = \frac{10080}{7}$

$\implies x=142.86$

Hence her monthly bonus was $142.86

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3 years ago

Convert 1.1521 to a percent

o-na [289]

Answer:

to get a percent you would get the decimal and move it two places and you will get 115.21%

Step-by-step explanation:

with 1.1521 you will get the decimal and move it to the right to get 115.21%

3 0

3 years ago

Read 2 more answers

Kaylee drove 75.5 miles in 54 minutes,if she continues to drive at the same rate, how long will it take her to drive 250 miles?

Crazy boy [7]

Answer:

179 minutes

Step-by-step explanation:

Divide both sides by 75.5 to see how many minutes it would take to drive 1 mile. (54 / 75.5) =108/151
She can drive 1 mile in 108/151 minutes
Times by 250. (108/151 * 250) 178.8
179 to nearest minute

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3 years ago

Graph a line with a slope of -5, that contains the point (-3,-4)

grin007 [14]

Answer:

Answer: Put one point on (-4,1) and another on (-3,-4)

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