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3 years ago

What is the solution to the inequality 7<=-3x-4

Mathematics

1 answer:

kipiarov [429]3 years ago

4 0

Answer:

The nearest option is -3 (negative 3)

So, Option B is correct.

Step-by-step explanation:

We need to solve the inequality $7 \leq -3x-4$

Solving:

Step 1: Switching sides of inequality and reversing the inequality

$-3x-4\geq 7$

Step 2: Adding 4 on both sides

$-3x-4+4\geq 7+4\\-3x\geq 11$

Step 3: Dividing both sides by -3 and reversing the inequality

$\frac{-3x}{-3}\leq \frac{11}{-3} \\x\leq -3.6\\$

The nearest option is -3 (negative 3)

So, Option B is correct.

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Please help me I have been stuck on this question for ages

Finger [1]

Answer:28 green and 35 red

Step-by-step explanation:

Given

If there are r red counter and g green counter then

Probability of drawing a green counter is $P(g)=\frac{4}{9}$

and $P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}$

Thus $\frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}$

$\frac{g}{g+r}=\frac{4}{9}$

$\Rightarrow 9g=4g+4r$

$\Rightarrow 5g=4r\quad \ldots(i)$

Also if 4 red and 2 green counter is added the probability of drawing a green counter is

$P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}$

$\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}$

$\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}$

$\Rightarrow 10g+10r+60=23g+46$

$\Rightarrow 10r+14=13g\ quad \ldots(ii)$

Substitute the value of g in equation (ii)[/tex]

$\Rightarrow 10\times \frac{5}{4}g+14=13g$

$\Rightarrow \frac{25}{2}g+14=13g$

$\Rightarrow g=28$

Therefore $r=35$

Thus there 28 green counter and 35 red counter

6 0

3 years ago

The sum of two numbers is <br> 50<br> and the difference is <br> 28<br> . What are the numbers?

elixir [45]

50-28=22

the numbers would be 28+22

sum = answer of addition

3 0

3 years ago

Read 2 more answers

help I’ll give brainliest

Tema [17]

Answer: The median of the upper half of a set of data is the upper quartile ( UQ ) or Q3 . The upper and lower quartiles can be used to find another measure of variation call the interquartile range . The interquartile range or IQR is the range of the middle half of a set of data.

Step-by-step explanation:

6 0

2 years ago

Marco wants to take a taxi cab ride if the cost to ride is 7.00 with the cost per m is 0.25 per mile and mr. o can only spend 30

77julia77 [94]

Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is: