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Elina [12.6K]
2 years ago
8

Choose the correct description of the graph of the compound inequality

Mathematics
2 answers:
elena-s [515]2 years ago
5 0
<span>i think you meant x − 1 is less than or equal to 12 or 2x greater than or equal to 30.
x<=13 or x>=15, both closed going opposite directions so B</span>
Harrizon [31]2 years ago
5 0
<h2>Answer:</h2>

Option: B is the correct answer.

B) A number line with a closed circle on 13, shading to the left, and a closed circle on 15, shading to the right

<h2>Step-by-step explanation:</h2>

We are given a compound inequality as:

(1)              x-1\leq 12

This could also be written as:

              x\leq 13

This means that the region is: (-∞,13]

(2)               2x\geq 30

On dividing both side of the inequality by 2 we get:

                 x\geq 15

This means that the region is: [15,∞)

Hence, the region that we obtain in the number line is

              (-∞,13]∪[15,∞)

Hence, the shaded region is to the left of 13 with the closed circle at 13 and to the right of 15 with closed circle at 15.

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Sally has been measuring the tree in her yard for a science project. The tree has grown 12 of an inch each month and grown a tot
hammer [34]

Answer:

Sally has been measuring the tree for 4 months

Step-by-step explanation:

The correct question is as follows;

Sally has been measuring the tree in her yard for a science project. The tree has grown 1/2 of an inch each month and grown a total of 2 inches taller. How many months has Sally been measuring this tree?

.........................................................................................

Solution;

The tree has grown 1/2 of an inch each month and has grown a total of 2 inch taller.

We now need to know the number of months in which the measuring has been taking place.

To know the number of months, we simply need to divide the change in height which is 2 inch by the individual month growth rate which is 1/2 inch

So mathematically, that would be 2/1/2 = 2 * 2 = 4 months

3 0
2 years ago
Gabe​ Amodeo, a nuclear​ physicist, needs 60 liters of a 60​% acid solution. He currently has a 50% solution and a 70% solution.
FromTheMoon [43]

Answer:

Gabe needs 20 liters of the 40% solution.  

He also needs 40 liters of the 70% solution.

Step-by-step explanation:

Equation:


acid + acid = acid


0.40x + 0.70(60-x) = 0.60*60


40x + 70*60 - 70x = 60*60


-30x = -10*60


x = 20 liters


Gabe needs 20 liters of the 40% solution.  

He also needs 40 liters of the 70% solution.

6 0
3 years ago
Student A starts with $100 in the bank and makes $5 a day. Student B starts with $50 and makes $7 a day. Assuming the students s
nasty-shy [4]
Student A starts with $100 in the bank and makes $5 a day. Student B starts with $50 and makes $7 a day. Assuming the students save their money, when will they have the same amount of money ?
3 0
3 years ago
Read 2 more answers
Candice leaves on a long trip driving at a steady rate of 35 miles per hour. Her sister Liz leaves from the same location travel
VARVARA [1.3K]

Answer:

<h2>D. 7h</h2>

Step-by-step explanation:

v=\dfrac{d}{t}\\\\v-\text{average speed}\\d-\text{distance}\\t-\text{time}\\\\d=vt,\ t=\dfrac{d}{v}\\\\\bold{Candice:}\ v_C=35\ mph,\ d_C,\ t_C\\\\\bold{Liz}:v_L=50\ mph,\ d_L,\ t_L=t-3\\\\\bold{Equation}:\\\\/\text{the distances are the same}/\\\\d_C=d_L\\\\d_C=v_Ct_C,\ d_L=v_Lt_L\\\\35t_C=50(t_C-3)\qquad\text{use the distributive property}\\\\35t_C=50t_C-150\qquad\text{subtract}\ 50t_c\ \text{from both sides}\\\\35t_C-50t_C=50t_C-50t_c-150\\\\-15t_C=-150\qquad\text{divide both sides by (-15)}

\dfrac{-15t_C}{-15}=\dfrac{-150}{-15}\\\\t_C=10\\\\t_L=10-3=7

4 0
3 years ago
What is the value of x 55,105<br> A.50<br> B.20<br> C.160 <br> D.55
Ann [662]

Answer:

c)55

Step-by-step explanation:

7 0
3 years ago
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