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jolli1 [7]
2 years ago
9

What is the value of x

Mathematics
2 answers:
bogdanovich [222]2 years ago
8 0

Answer: 37

Step-by-step explanation:

74=2x

37=x

You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.

I'm just confused about how the answer choices are only 108 and 18.

mario62 [17]2 years ago
5 0

Answer:

\huge\boxed{\sf x = 37}

Step-by-step explanation:

Since, vertically opposite angles are equal:

74 = 2x

Divide 2 to both sides

74 / 2 = x

37 = x

OR

x = 37

\rule[225]{225}{2}

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Can someone please help me with this ?!!
bija089 [108]

Answer:

I believe the answer is B

Step-by-step explanation:

8 0
3 years ago
An element with mass 800 grams decays by 8.2% per day. How much of the element is remaining after 15 days,
Serjik [45]

Given:

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

To find:

The remaining element after 15 days.

Solution:

The exponential decay model is

y=a(1-r)^t

Where, a is the initial value r is the rate of interest and t is time period.

Putting a=800,r=0.082,t=15 in the above formula, we get

y=800(1-0.082)^{15}

y=800(0.918)^{15}

y=221.68188

y\approx 221.7

Therefore, the mass of the remaining element is 221.7 grams.

7 0
3 years ago
A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 fee
Mekhanik [1.2K]
The figure is composed of 2 shapes. A rectangle and a right triangle.

Area of the Rectangle = 600 ft * 200 ft = 120,000 ft²
Area of the right triangle = (600 ft * 450 ft)/2 = 270,000 / 2 = 135,000 ft²

Total area = 120,000 ft² + 135,000 ft² = 260,000 ft²

Area of the house = 45 ft * 38 ft = 1,710 ft²
Area of the woods = 118 ft * 60 ft = 7,080 ft²
Area of the front yard = 78 ft * 40 ft = 3,120 ft²

Area of farmed land = 260,000 - 1,710 - 7,080 - 3,120 = 248,090 ft²

248,090 ft² * 1acre/43,560 ft² = 5.695 acres
7 0
3 years ago
Determine whether the quadrilateral is a parallelogram. Justify you answer.
agasfer [191]

Answer:

It is a quadrilateral.

Step-by-step explanation:

Quadrilateral is a 4-sided shape where the total angles is 360°.

So when you add up all the angles, you will get 360°.

4 0
3 years ago
Productive use of machinery on a farm made it possible to decrease the number of tractors by 12. How many tractors does the farm
frez [133]
1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer. 

2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people. 
5 0
3 years ago
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