Answer:
-4/6, -6/9,- 8/12,-10/15
Step-by-step explanation:
hope it helps pls mark brainliest
Answer:
x = 11
Step-by-step explanation:
-3x + 4 = -29
step one : subtract 4 from both sides
-3x = -29 - 4
-3x=-33
step two : divide -3 from both sides
-33 ÷ -3 = 11
x = 11
check your work now
-3(11) + 4 = -29
-3 x 11 = -33
-33 + 4 = -29
For this, you have to understand the ratios of a 30,60,90 triangle. The ratio(in order) is x, x(sqrt 3), 2x (following the 30,60,90 pattern y'know). Well, we know the length of the hypotenuse, 4.2, so let's use ratios to figure the other sides out. The ratio of AC is x and the ratio of AB is 2x, so 2x/2=x=2.1. One side down. BC has a ratio of x(sqrt 3). We already know x so we can substitute it in. We get 2.1(sqrt 3). To calculate the area, use the formula 1/2(bh). Inputting the values in, we get 1/2(2.1*(2.1(sqrt 3)). This can be calculated to around 3.82. To calculate the perimeter, take the sum of the sides. By adding the sides together, we get about 9.98. Hope you can now understand how to do these kinds of questions.
Answer: C) 3/2
Explanation: In math, the reciprocal is the inverse of a number or value. Simply, the number when flipped. Knowing this, one can flip the fraction to find the reciprocal, in this case turning 2/3 into 3/2.
Hope this helps :)
Step-by-step explanation:
We generally assume that when multiple resources are put on a job, the completion rate is the sum of the completion rates of the different resources. Rate is generally measured in units per time. Here, the appropriate "unit" is "job".
Step 1 is convert the hours per job to a rate in terms of jobs per hour.
... Shawn can complete 1/5 job per hour.
... Ellie can complete 1/7 job per hour.
Step 2 is to add the rates to get the total rate when both resources are applied.
... (1/5 job/h) + (1/7 job/h) = (7/35 +5/35) job/h = 12/35 job/h
Step 3 is to convert that rate back to the time require to complete one job. We can divide the work to be done (1 job) by the rate at which it is done in order to find the time required.
... (1 job)/(12/35 job/h) = 35/12 h = 2 11/12 hours = 2 hours 55 minutes
The foreman is incorrect.
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<em>Comment on the solution</em>
The time when workers work together will always be between the longest time divided by the number of workers (7/2 = 3.5 hours here) and the shortest time divided by the number of workers (5/2 = 2.5 hours here). Our answer of 2.92 hours is in that range.
The foreman should know better. (If s/he were to divide the average completion time (6 h) by the number of workers (2), s/he would have a guess of 3 hours—closer, but still incorrect.)
