Multiply all terms by 15 to get rid of fractions
10x-3x=105
Combine like terms
7x=105
Divide both sides by 7
x=15
Final answer: x=15
Answer: option B
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
Answer:
C.
Step-by-step explanation:
C. best describes the situation:
$3.50 (per drink she buys) is subtracted from her $40 gift card.
—Example———————————
Let’s say Katie wants 2 drinks.
(x is the amount of drinks she wants.)
So in this case:
x = 2 (because she wants 2 drinks.)
Plug it into your equation.
3.50x - 40 —> 3.50(2) - 40
($3.50 times 2 is $7. Aka 2 drinks cost $7.)
$7 - $40
7 dollars is deducted from her 40 dollars.
———————————
While A describes:
$3.50 (per drink she buys) is added to her $40 gift card.
B describes:
$40 (per drink she buys) is subtracted from $3.50
D describes:
-$40 (per drink she buys) added to $3.50
E describes:
-$3.50 (per drink she buys) is added to her $40 gift card.
Answer:
∠RST = 40°
Explanation:
We are given that:
SQ bisects angle RST.
This means that:
∠QST = ∠QSR
2x = 3x - 10
10 = 3x - 2x
x = 10
Therefore:
∠QST = 2x = 2(10) = 20°
∠QSR = 3x - 10 = 3(10) - 10 = 30 - 10 = 20°
Note that both angles are equal.
Now, we can get ∠RST as follows:
∠RST = ∠QST + ∠QSR
∠RST = 20 + 20 = 40°
Hope this helps :)
Answer:
$2.00 is the original price
Step-by-step explanation:
Step 1:
Turn 25% into a decimal which makes it 0.25
ex. 50% would be 0.50, 5% would be 0.05 etc.
Step 2:
Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price
x - 0.25x = 1.50 this is basically 1x - 0.25x = 1.50 so,
Solving the left side of our equation gives us 1x - 0.25x = 0.75x
so now you have: 0.75x = 1.50
Step 3:
Divide both sides by 0.75 which gets x by itself and gives us the original price which is $2.00