Answer:
d) x = 2
Step-by-step explanation:
3(x - 6) + 3 = -9
<em>open the parenthesis</em>
3x - 18 + 3 = -9
3x - 15 = -9
<em>add 15 to both sides of the equation</em>
3x - 15 + 15 = - 9 + 15
3x = -9 + 15
3x = 6
<em>divide both sides by 3</em>
3x/3 = 6/3
x = 6/3
x = 2
You did not specify the brother's age, so I make a expression, <em>b</em> as the variable.
(3<em>b</em> + 5) - 11
Now do that with the brother age instead of the variable.
Answer:
20 diamonds
Step-by-step explanation:
It is given that,
Length of the sash when it is completed = 8 feet
Joseph wants to add a diamond shape every 0.4 feet along the sash.
We need to find no of diamonds the sash have when it is completed. It can be calculated by dividing total length by 0.4 feet. As a result,
n = 8/0.4
n = 20
Hence, 20 diamonds the sash will have when it is completed
Distance<-------------300--------------><-------------------x----------------->
⊕---------------------------------⊕--------------------------------------⊕ Express Freight Overtaking point
Speed 55 speed 30
Let x be the distance travelled by Freight until the point of overtaking
Time = Distance/Speed, then:
Time (freight) = Distance (fright)/Speed (freight) And
Time (Express) = Distance (Express)/Speed (Express).
Now plug in the relative number:
Time (freight) = x/30 and Time (express) = (x+300)/55. But note that both times are equal, then:
x/30 = (x+300)/55 OR (x÷30 = (x+300)÷55) [Answer C]
Now let's find the distance x. Cross multiplication;
55x= 30(300+x) →55x = 9,000 + 30x
55x - 30x = 9,000 → 25x = 9,000 and x = 9,000/25 = 360 miles
Time needed for Freight to travel 360 m = 360/30= 12 Hours
Time needed for Express to travel (300+360) m = 660/55= 12 Hours
As you see, it's the same time of 12 hours
Don't forget that Distance = Speed x time or time = Distance/Speed, etc.
Answer:
156 ≤ 5 (Which is wrong)
Step-by-step explanation:
You start with:
16(6)+20(3) ≤ 5
96+60 ≤5
156 ≤5
Which is wrong.
