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2 years ago

Question in pic, will mark brainliest.

Mathematics

1 answer:

DENIUS [597]2 years ago

4 0

Answer:

x = 14, y = 12

Step-by-step explanation:

We know that the angles $(2x+7)$ and $(3x-7)$ are equal. We also know that they are equal to $180-(12y+1)$ . Therefore, when we set up the equality and substitute (14, 12):

$2x+7=180-(12y+1)\\2(14)+7=180-[12(12)+1]\\28+7=180-(144+1)\\35=180-145\\35=35$

Therefore, the solution is x = 14, y = 12.

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A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12

Yuri [45]

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be $x$ ,

Speed uphill is $0.5x$ . We are told than speed uphill is $\frac{2}{3}$ the speed on flat ground. Therefore the speed on level ground will be $\frac{0.5x}{2/3}=0.75x$ .

From this info, we can obtain the actual speed, $v_g$ on level ground as:

$x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h$

speed, distance and time have the relation $s=d/t$ so to obtain time to cover 45miles:

$t=d/s\\=45/90\\=0.5h$

Hence it takes 0.5hrs to cover 45miles on flat ground.

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2 years ago

Winston has just gone grocery shopping. The mean cost for each item in his bag was $2.71. He bought a total of 9 items, and the

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The cost of the 9th item is $3.94

Since the mean cost for the 9 items in his bag was $2.71. Then, the total cost will be: = 9 × $2.71 = $24.39

In order to get the price of the 9th item, we have to calculate the price of all the 8 items given which will be:

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Therefore, the cost of the 9th item will be:

= $24.39 - $20.45

= $3.94

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