Answer:
x≥2
Step-by-step explanation:
Let's solve your inequality step-by-step.
12−7x≤−2
Step 1: Simplify both sides of the inequality.
−7x+12≤−2
Step 2: Subtract 12 from both sides.
−7x+12−12≤−2−12
−7x≤−14
Step 3: Divide both sides by -7.
−7x/−7 ≤ −14/−7
x≥2
Answer:
About 41.5%
Step-by-step explanation:
<em>Given:</em>
<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.</em>
<em>To Find:</em>
<em>What is the probability that both grapes are red?</em>
<em>Answer choices:</em>
<em>about 39.7%</em>
<em>about 41.5%</em>
<em>about 42.5%</em>
<em>about 44.5%</em>
<em>Solution:</em>
<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .</em>
<em>As the red grapes are 15..</em>
<em>Thus,</em>
<em>The probability of choosing a red grape the first time is 15/23.</em>
<em>Because out of the total 23 grapes only 15 were red grape.</em>
<em>The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>
<em>Hence, the probability of choosing or eating two red grapes will be :</em>
<em>15/23×14/22</em>
<em>=105/253</em>
<em>=0.415</em>
<em>= 41.5%</em>
<em>Therefore, the probability that both grapes are red is about 41.5%</em>
Answer:
2.0625
Step-by-step explanation:
2+1/16
= 2.0625
= 206.25%
Answer:
Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values
solve for x
Combine like terms
Group terms
Find the measure of angle CDE
substitute the value of x
Answer:
With Two points is enough to describe this graph
![\left[\begin{array}{ccc}\frac{4}{6} &0\\0&-4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B4%7D%7B6%7D%20%260%5C%5C0%26-4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Interception with Y axis (y=0), thus we have the following equation:
The point for this is (4/6 , 0)
Interception with x axis (x=0), thus we have the following equation:
The point for this is (0, -4)
