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2 years ago

How do you solve -4+3x</= -12 +5x? inequalities

1 answer:

6 0

You were trying to write -4+3x≤12+5x

remember, you can do anything to an equaiton as long as you do it to both sides

-4+3x≤-12+5x
minus 3x both sides
-4≤-12+2x
add 12 to both sides
8≤2x
divide both sides by 2
4≤x
x≥4
x≥7.5

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HELP PLEASEEE

jeka94

The exact circumference of the circle is $7 \frac{49}{150} k m$

The approximate circumference of the circle is $7.33 k m$

Explanation:

The diameter of the circle is $2 \frac{1}{3} \mathrm{km}$

Now, we shall find the circumference of the circle.

The formula to determine the circumference of the circle is given by

$C=\pi d$

Where C is the circumference , $\pi$ is 3.14 and $d=2 \frac{1}{3} \mathrm$ is the diameter of the circle.

The exact circumference of the circle is given by

$\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}$

Multiply both numerator and denominator by 100, we get,

$C=\frac{2198}{300} \\C=\frac{1099}{150}$

Converting $\frac{1099}{150}$ into mixed fraction, we get,

$C=7 \frac{49}{150}$

Thus, the exact circumference of the circle is $7 \frac{49}{150} k m$

The approximate value of the circumference can be determined by dividing the value $\frac{1099}{150}$

$C=\frac{1099}{150}=7.327$

$C=7.33km$

Thus, the approximate circumference of the circle is $7.33 k m$

3 0

3 years ago

In an experiment, a ball is drawn from an urn containing 11 orange balls and 8 blue balls. If the ball is orange, three coins ar

Sophie [7]

Answer:

a) 4

b) 12

Step-by-step explanation:

Since, when an orange ball is drawn, three coins are tossed. So, sample points are OHHH, OHHT, OHTH, OHTT. OTHH, 0THT, OTTH, OTTT

So, clearly, 8 sample points will have an orange ball.

When a blue ball is drawn, two coins are tossed. So, sample points are BHH,BHT,BTH,BTT.

So, clearly, 4 samples points will when a blue ball is drawn.

Total samples points=4+8=12

4 0

3 years ago

Brandon earns $6 for every shirt he sell.which equation could Brandon use to determine the amount of money he earns for any numb

maw [93]

I got B. Hope it helps

8 0

3 years ago

I NEED HELP SO BAD PLEASE!!!!!!!!!!!

inysia [295]

Answer:

I think its 6 :)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e $\dfrac{dV}{dt}= 20 \ ft^3/min$

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago