Let us say that:
a = ones
b = fives
c = twenties
So that the total money is:
1 * a + 5 * b + 20 * c = 229
=> a + 5b + 20c = 229 -->
eqtn 1
We are also given that:
c = a – 5 -->
eqtn 2
a + b + c = 30 -->
eqtn 3
Rewriting eqtn 3 in terms of b:
b = 30 – a – c
Plugging in eqtn 2 into this:
b = 30 – a – (a – 5)
b = 35 – 2a -->
eqtn 4
Plugging in eqtn 2 and 4 into eqtn 1:
a + 5(35 – 2a) + 20(a – 5) = 229
a + 175 – 10a + 20a – 100 = 229
11a = 154
a = 14
So,
b = 35 – 2a = 7
c = a – 5 = 9
Therefore there are 14 ones, 7 fives, and 9 twenties.
Answer:
Option D.The number of dollars it costs to rent the house for 10 days
Step-by-step explanation:
we have
f(x) -----> the total cost for renting a vacation house
x ------> the number of days rented
we know that
f(x)=10+250x
so
For x=10 days
substitute in the function
f(10)=10+250(10)=$2,510
f(10) represent the number of dollars it costs to rent the house for 10 days
It will be .6 because u divide
3.2d - 4d = 2.3d + 3...simplify by combining like terms
-0.8d = 2.3d + 3....subtract 2.3d from both sides
-0.8d - 2.3d = 3 ...simplify again
-3.1d = 3...divide both sides by -3.1
d = 3/ -3.1
d = - 0.97
or
3.2d - 4d = 2.3d + 3....multiply the equation by 10, gets rid of the decimals
32d - 40d = 23d + 30....subtract 23d from both sides
32d - 40d - 23d = 30....simplify
-31d = 30...divide by -31
d = -30/31
d = - 0.97
Answer: 11 muffins
Step-by-step explanation:
Since Maria mixes 1/4 cup white sugar with 2/3 cup brown sugar, this will give us a mixture of:
= 1/4 + 2/3
= 3/12 + 8/12
= 11/12
Ww are then told that she uses 1/12 cup of the mixture to top each muffin. Therefore, the number of muffins that she can top will be:
= 11/12 ÷ 1/12
= 11/12 × 12/1
= 12
She can top 11 muffins.
