Answer:
10p coins does he have 102
Step-by-step explanation:
given data
saves= 10p coins and 20p coins
total = 17 pounds
to find out
how 10p coins does he have
solution
we consider here no of 20p coin = x
so equation will be here
3 × 10 x +20 x = 1700
30 x + 20 x = 1700
x = 34
so that
10p coins = 3 time × 34 = 102
20p coins = 34
so that 10p coins does he have 102
Answer:
I'm not sure how euros work but I'm almost certain there are 18 20p coins
Step-by-step explanation:
Answer:
To evaluate the given expressions, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's simplify each expression step by step:
1. 8 + 6:
The addition operation is straightforward. Adding 8 and 6 gives us the answer of 14.
2. 12 - 2.6:
Again, we perform the subtraction operation. Subtracting 2.6 from 12 gives us the answer of 9.4.
3. 28 + 7.4:
Similar to the first expression, we add 28 and 7.4 to get the answer of 35.4.
Therefore, the simplified expressions are as follows:
- 8 + 6 = 14
- 12 - 2.6 = 9.4
- 28 + 7.4 = 35.4
Step-by-step explanation:
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Explanation:
The smaller angles AOB and BOC combine to the largest angle AOC
By the angle addition postulate, we can say,
(angleAOB) + (angleBOC) = (angleAOC)
(3x+4) + (8x-28) = 108
11x-24 = 108
11x = 108+24 .... adding 24 to both sides
11x = 132
x = 132/11 .... dividing both sides by 11
x = 12
We can use this x value to find each angle
angle AOB = 3x+4 = 3*12+4 = 40 degrees
angle BOC = 8x-28 = 8*12-28 = 68 degrees
As a check,
(angleAOB)+(angleBOC) = (40)+(68) = 108
which matches with the measure of angle AOC. This confirms our answers.
Answer:
Step-by-step explanation:
The model rocket is in the air for 0 seconds according to the given equation, which implies an immediate impact upon launch.
In this mathematical scenario, the model rocket's height p(x) over time x (elapsed seconds) is given by the quadratic equation p(x) = 16x^2 + 32x. The total amount of time the rocket is in the air will be the point when the rocket returns to ground level. This occurs when p(x) = 0, which represents the rocket's height being zero feet above the ground.
We can find out when this occurs by solving the quadratic equation for x. We can rearrange the quadratic equation to 16x^2 + 32x = 0. Factoring out 16x gives us 16x(x + 2) = 0. Solving for x will give two potential solutions: x = 0 (the initial launch point) and x = -2. However, since time cannot be negative in this context, we discard the -2 and our answer is x=0 s, the total time the model rocket will be in the air after being launched is 0 seconds.
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