Answer:
Tiffany has 13 dimes and 4 nickels.
Step-by-step explanation:
To solve this problem, you will need to write a systems of equations, n will be the number of nickels and d will be the number of dimes.
n+d=17 This means that the number of nickels plus the number of dimes is equal to 17.
5n+10d=150, This means that for each nickel, there is 5 cents and for each dime, there is 10 cents. The equation is equal to 150 cent because the coins are worth 150 cents.
Next, solve the system:
n+d=17
5n+10d=150 First simplify the second equation by dividing it all by 5.
n+d=17
n+2d=30, Next, isolate n to use substitution on the system.
n=17-d
n=30-2d, Substitute n to solve for d
17-d=30-2d, Solve for d
d=13, this means that there are 13 dimes, plug in the d value in either of the equations to find n.
n+(13)=17
n=4, There are 4 nickles
9514 1404 393
Answer:
D. If a sum of two numbers is multiplied by a factor, you can multiply each number by that factor and then add the products.
Step-by-step explanation:
The point of the distributive property is that it allows multiplication to be distributed over addition. That is, ...
a(b +c) = ab +ac
The product of a factor and a sum is the same as the sum of the products of that factor with each of the elements of the sum. This is expressed in statement D.
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Statement A refers to the commutative property of multiplication.
Statement B is a restatement of the multiplication rule in the "order of operations."
Statement C refers to the associative property of multiplication.
Statement D is a restatement of the distributive property.
Answer:
∡x = 20°
∡y = 160°
∠z = 160°
Step-by-step explanation:
Angles on a straight line sum to 180°
⇒ ∠z + 20° = 180°
⇒ ∠z = 180° - 20°
⇒ ∠z = 160°
The central angle measure equals the corresponding arc measure.
⇒ ∡x = 20°
⇒ ∡y = ∠z = 160°
Answer:
2r+1+(-4r)+7
= -2r+8
= -2(r+4)
Step-by-step explanation:
Answer:
B
Step-by-step explanation: