Evaluate.
90 • 4 – 14 ÷ 2 + 10² ÷ 5 • 2
Answers
For this expression, you would use the method PEMDAS.
(Parentheses Exponents Multiplication Division Addition Subtraction)
The first one available in this expression is Exponents (10^2=100)
90 x 4 - 14 / 2 + 100 / 5 x 2
Then Multiplication (90 x 4 = 360 and 5 x 2= 10)
360 - 14 / 2 + 100 / 10
Next is Division (14 / 2 = 7 and 100 / 10 = 10)
360 - 7 + 10
Now Addition or Subtraction (whichever one is first from left to right)
353 + 10
90 x 4 - 14 / 2 + 10^2 / 5 x 2 = 363
Related Questions
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Rewrite the expression with parentheses to equal the given value 100-30÷5 value 14
Answers
Question:
At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.
How many of each type of ticket were sold?
Answer:
350 food tickets and 180 ride tickets were sold
Solution:
Let "x" be the number of food tickets sold
Let "y" be the number of ride tickets sold
Cost of 1 food ticket = $ 2
Cost of 1 ride ticket = $ 3
The number of food tickets sold was 10 less than twice the number of ride tickets sold
Number of food tickets sold = twice the number of ride tickets sold - 10
x = 2y - 10 -------- eqn 1
A total of $1,240 was collected at the carnival
Therefore, we frame a equation as:
number of food tickets sold x Cost of 1 food ticket + number of ride tickets sold x Cost of 1 ride ticket = 1240
2x + 3y = 1240 ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
2(2y - 10) + 3y = 1240
4y - 20 + 3y = 1240
7y = 1260
y = 180
Substitute y = 180 in eqn 1
x = 2(180) - 10
x = 360 - 10
x = 350
Thus 350 food tickets and 180 ride tickets were sold
Answers
Final answer:
To solve this problem, set up an equation using the given weights and solve for 'x' to find the weights of each friend's bag.
Explanation:
To solve this problem, we need to set up an equation based on the given information.
First, let's express the weights of Randall's, Seth's, and Joanna's bags in terms of 'x':
- Randall's bag: 3x - 7 pounds
- Seth's bag: 2x - 10 pounds
- Joanna's bag: 2x + 2 pounds
According to the problem, Randall's and Joanna's bags together weigh 3 times as much as Seth's bag. Mathematically, this can be written as:
(3x - 7) + (2x + 2) = 3(2x - 10)
Solving this equation will give us the value of 'x', which we can then use to find the weights of each friend's bag.
Learn more about Finding weights of bags here:
#SPJ2
Answer:
Randall=68 pounds, Seth's=40, Joanna's=52
Step-by-step explanation:
Randall's = 3x-7
Seth's = 2x-10
Joanna's = 2x+2
Randall's + Joanna's = 3 (Seth's)
Find X:
- Form into an equation (add parentheses)
- (3x-7) + (2x+2) = 3 (2x-10)
- REmove parentheses on left side
- 3x-7+2x+2 = 3 (2x-10)
- Distribute right side
- = 6x-30
- 3x-7+2x+2 = 6x-30
- Combine like terms
- 5x-5=6x-30
- subtract 5x from BOTH sides (always subtract, add, multiply, and divide both sides at the same time)
- -5=x-30
- Add 30 to BOTH sides
- 25=x
Find how many pounds of trash each friend picked up:
Randall's:
- 3x-7
- plug in x
- 3(25)-7
- Distribute
- 75-7
- = 68
Seth's:
- 2x-10
- 2(25)-10
- 50-10
- = 40
Joanna's:
- 2x+2
- 2(25)+2
- 50+2
- =52
Double check your answers:
Randall's+Joanna's= Seth's(3)
68+52=40(3)
120=120
You're good to go!
What is the answer?
Answers
36=10+13s
26=13s
2=s
Hope this helps :)
Distribute the 9:
36-9s=10+4s
Combine like terms (I subtracted the 10 from 36 and added the -9s to 4s)
26=13s
Divide by 13 to get s alone
s=2
Hope this helps
Answers
182/39 = improper fraction
182 ÷ 39 = 4.6...
39 × 4= 156
182 - 156 = 26
4 = whole number
26 = numerator
39 = denominator
4 26/39
This ^^ is how you simplify 182/39.
182/39 = 4 26/39.
182/39 in simplest form is 4 26/39
x > –3
B.
x ≤ –3
C.
x < –3
D.
x ≥ –3
Answers
The circle is filled in so -3 also satisfies the inequality, so it's ≤.
The answer is B. x≤-3.
Answer:
The answer is B. x≤-3.
Step-by-step explanation:
The graph is to the left of -3, so it's < or ≤.
The circle is filled in so -3 also satisfies the inequality, so it's ≤.
hope i helped
Answers
So plugging in x = 4, we get:
4² + 2(4)
Simplifying it, we get:
16 + 2(4)
16 + 8
24
When x = 4, x² + 2x will equal 24.
x² + 2x = 24
Substitute x by its value
4² + 2(4)
16 + 8 = 24