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lbvjy [14]
4 years ago
7

Admission to a theme park is $12. Students receive a 10% discount. What is the amount of the discount? How much would a student

pay?
A.) $2.00; $10.00
B.) $1.20; $10.40
C.) $1.20; $10.80
D.) $1.20; $9.80
Mathematics
1 answer:
KATRIN_1 [288]4 years ago
3 0
The answer is C

10% = 0.10

12 x 0.10 = 1.20
12 - 1.20 = 10.80
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Erin is 8 years younger than twice Paula’s age. The sum of their ages is 40. How old is Erin
Lina20 [59]
You do the sum(40) subtracted by 8, the answer from that divided by 2 since Erin's two times younger.
40-8=32
32÷2=16
Then if you want to check it you do the opposite and get the same sum(40) so 16×2=32 and 32+8=40
6 0
3 years ago
How many Solutions does this system have? (1 point)
mixas84 [53]

The given system of equation that is 2x+y=3 and 6x=9-3y has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}

Let us first bring the equation in standard form for comparison

\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}

\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

To check how many solutions are there for system of equations a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0, we need to compare ratios of \frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}

In our case,  

a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3

a_{2}  = 6, b_{2} = 3,\text{ and }c_{2} = -9

\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}

As \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}, so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

5 0
3 years ago
PB_WINT FSA DIAG_MA_GRTA_682
8090 [49]
Really any option.

Explanation: A triangle can be obtuse of acute, either of these answers will make one of those.
4 0
3 years ago
PLEASE SOMEONE ANSWER THIS ASAP !!!!!!!!!
kotykmax [81]

Answer:

for the second one,

f(4)= 2⁴-7= 9

g(4)= 1.5x4-3= 3

therefore 9>3

f(4)>g(4)

8 0
3 years ago
River raft rentals are $7 per hour plus a deposit fee of $25 per person. Write an expression for the total cost of renting a raf
madreJ [45]
7h+25
7 for each hour plus 25 per person


4 0
4 years ago
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