Write as an algebraic expression and then simplify if possible the value in cents of d dimes

10d cents.

Step-by-step explanation:

This is an everyday mathematics question, in which the value of the currency has to be known. It is a fact that:

1 dime = 10 cents and 1 cent = 1/10 dimes

These relationships can be used to determine the value of the dimes in terms of cents and the value of the cents in terms of dimes respectively. In the question, it is given that there are d dimes. Therefore, using the first formula, it can be inferred that:

d dimes = 10*d cents.

So, the value of d dimes in cents is 10d cents!!!

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.