Answer:
x = 12
y = 9
12 coins of dimes
9 coins of quartes
Step-by-step explanation:
x ---> coins of dimes
y ---> coins of quartes
x + y = 21
0.1x + 0.25y = 3.45 * 100
x + y = 21 L1
10x + 25y = 345 L2
x = 21 - y
Reemplace in L2
10(21 - y) + 25y = 345
210 - 10y + 25y = 345
15y = 345 - 210
15y = 135
y = 9
x = 21 - y
x = 21 - 9
x = 12
Answer:
Step-by-step explanation:
Given that a car mechanic rounds a car's weight to the nearest thousand
By rounding off to nearest 1000, we mean we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.
To simplify the above we can say the 100th digit if greater than or equal to 5, we round off the 1000th digit by 1 up otherwise leave it as it is
Example, 18765 is rounded off as 19000 while
15462 is rounded off as 15000
Here the answer after rounding off is 4000
This is possible if the weight was atleast 3500 because in this case he would round off to 4000 or highest 4499.
If 3499 or 4500 the rounding off would not have been 4000
So least number is 3500 and greatest number is 4499.
For 0 minutes she can burn 0 calories
For 10 minutes she can burn 20-40 calories
For 15 mins she can burn 40-60 calories
For 30 minutes she can burn 140-295 calories
I hoped this helped!
Have a great day/night! :)
The length of the rectangle is defined by
.
Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a <em>third</em> <em>order</em> polynomial and width by a <em>first order</em> polynomial and, thus, length must be a <em>second order</em> polynomial.
By factor the polynomial we get the following roots:

Then, the length of the rectangle is defined by
.
To learn more on rectangles, we kindly invite to check this verified question: brainly.com/question/10046743
The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).
Option B represents the correct factors of the equation.
<h3>
What is a Factor of the number?</h3>
A factor of the number can be defined as a divisor of the number that divides it completely without leaving any remainder.
Given equation is 4x^3+10x^2 – 6x. This can be factorized as given below.

We take the common term 2x, then,




Hence we can conclude that the factors of the given equation are 2x(x+3)(2x – 1). Option B shows the correct factors.
To know more about the factors, follow the link given below.
brainly.com/question/3423184.