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Semmy [17]
3 years ago
12

David and Eric each shot 6 arrows at the target shown. David shot 4 arrows into A and 2 into B. His score was 18 points. Eric sh

ot 3 into A and 3 into B. His score was 21 points. How many points were given in an arrow in B?
Mathematics
1 answer:
liq [111]3 years ago
3 0
Lets write an equation for each guy's shots and score:
4A + 2B = 18
3A + 3B = 21
To solve we multiply the first equation by -3 and the second by 2:
-12A - 6B = -54
  6A + 6B = 42
--------------------
-12A + 0 = -12
A = 1
to find B we substitute in the first equation:
<span>4A + 2B = 18
</span><span>4(1) + 2B = 18
</span><span>4 + 2B = 18
</span>2B = 14
B = 7
therefore there were given 7 points in an arrow in B
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A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constar
Masteriza [31]

Answer:

  • <u>5.2 kg per month.</u>

<u></u>

Explanation:

The measure of how fast the wrestler gained weight, in kg per month, is the  weight gain rate.

The table is:

Time (months)           Weight (kg)

    0.5                             80.6

    2                                 88.4

    3.5                              96.2

The weight gain rate, WGR, for a period may be calculated as:

  • WGR = [ weight gain ] / [period]

  • WGR = [final weight - initial weight] / [final time - initial time]

  • WGR₁ = [88.4 kg - 80.6 kg] / [2 month - 0.5 month] = 7.8 kg / 1.5 month = 5.2 kg / month

  • WGR₂ = [96.2 kg - 88.4 kg] / [3.5 month - 2 month] = 7.8 kg / 1.5 month = 5.2 kg / month.

As you see, the wrestler gained weight at a constant rate of 5.2 kg per month.

7 0
3 years ago
The function y = x2 – 4x + 7 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence
Salsk061 [2.6K]
From the function y=x^2-4x+7
to complete the square we proceed as follows:
The vertex form is given by:
y=(x-h)^2+k
where (h,k) is the vertex:
thus from the function we shall have:
y=x^2-4x+7
c=(b/2a)²
c=(4/2)²=4
thus adding an subtracting 4 in the expression:
y=x^2-4x+4-4+7
y=(x-2)^2+3
thus the vertex will be:
(2,3)

The answer is:
<span>D. Minimum at (2, 3)</span>
7 0
2 years ago
Read 2 more answers
How do i solve this proportion? 3t/10 = 1/2
never [62]

Answer:

Multiply both sides of the equation

Step-by-step explanation:

5 0
2 years ago
Triangle ABC is translated to create triangle DFG, as shown below.
Anton [14]

Answer:

x=3

y = 9

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

AB = DF

BC = FG

AB = DF means:

3(2x + 10) = 12x + 12

Open bracket

6x + 30 = 12x + 12

Collect like terms

12x - 6x = 30 -12

6x = 18

Divide by 6

x=3

BC = FG means

2y + 12 = 2(2y - 3)

Open bracket

2y + 12 = 4y - 6

Collect like terms

4y - 2y = 12+6

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Divide by 2

y = 9

5 0
3 years ago
Please help me!!!!!!! It's very important!!!!
IgorLugansk [536]
The formula for the area of a circle is A = (pi)r^2
So if you plugged in the numbers you would get this equation A = (3.14)97^2
Solve the equation and you would get your answer which is 29544.26
Hope this helps! :)
6 0
3 years ago
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