Plz help with this question ASAP which choice is it and steps to get the answer or explain why
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Answer:
D 20 *1.10 * 1.05
Step-by-step explanation:
We have 19.8 tons of wheat. That is close to 20 tons
We increase by 9.8 percent. 9.8% is close to 10%
When we increase, that is 100% of what we had plus the increase, so we multiply by 100 +10% or 110%. In decimal form that is 1.1
20 *1.10
Then the next year we increase by 5.1%. That is close to 5%
We have 100% plus the 5% or 105%, which in decimal form is 1.05
We multiply what we had (20 *1.10) by 1.05
20 *1.10 * 1.05
This is the total amount we have
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and the number of dimes that Victoria has. Define the variables that you use to write
the system.
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Answer:
0.05n+0.10d=1.90
n=d+2
Step-by-step explanation:
One nickel is worth $0.05, so n nickels are worth 0.05n. One dime is worth $0.10, so dd dimes are worth 0.10d.The total 0.05n+0.10d equals $1.90:
0.05n+0.10d=1.90
Since there are 2 more nickels than dimes, there are more nickels, so if we add 2 to the number of dimes, we will get the number of nickels, meaning nn equals d+2.d+2.
n=d+2
Final answer:
From the problem, we create a system of equations that represent the value and quantity of nickels and dimes Victoria has. The system is: 0.05N + 0.10D = 1.90 and N = D + 2, where N represents nickels and D represents dimes.
Explanation:
The problem is about finding the number of nickels and dimes Victoria has. To do this, we will use a system of equations. We'll define N as the number of nickels and D as the number of dimes.
The first equation is based on the total value: since a nickel is worth $0.05 and a dime is worth $0.10, Victoria's coins add up to $1.90 - hence 0.05N + 0.10D = 1.90
The second equation is based on the quantity of coins: Victoria has 2 more nickels than dimes - hence N = D + 2.
Therefore, the system of equations is:
- 0.05N + 0.10D = 1.90
- N = D + 2
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A.) 1✖️7➗2
B.) 1
➖
2✖️7
C.)1✖️7✖️2
D.)1✖️7
➖
2
E.) 14
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Hope this helps :)
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The equation of the locus is a circle (x-h)²+(y-k)²=5²
What is the area and circumference of a circle?
The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: We are required to find a locus of points which are at a distance of 5 cm from a point D.
Suppose, a circle is the locus of all the points which are equidistant from the centre.
We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.
Thus the equation of the circle with radius 5 is given by
(x-h)²+(y-k)²=5²
Hence, The equation of the locus is a circle (x-h)²+(y-k)²=5²
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