Answer:
70
Step-by-step explanation:
2 + 10 = 12
84 ÷ 12 = 7
7 x 10 = 70
She graded 70 maths papers and 14 science papers.
v + m = 32 and v = 5 + 2m are the equations that are used to determine m, the number of stuffed animals Mariposa has
Number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23
<h3>
<u>Solution:</u></h3>
Let "v" be the number of stuffed animals with Veronica
Let "m" be the number of stuffed animals with Mariposa
Given that,
Together, they have 32 stuffed animals
Therefore,
v + m = 32 --------- eqn 1
Veronica has 5 more than double the number of stutted animals as her friend Mariposa
Therefore,
Number of stuffed animals with Veronica = 5 + 2(number of stuffed animals with Mariposa)
v = 5 + 2m ---------- eqn 2
Thus eqn 1 and eqn 2 can be used to determine m, the number of stuffed animals Mariposa has
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
5 + 2m + m = 32
5 + 3m = 32
3m = 32 - 5
3m = 27
<h3>m = 9</h3>
Substitute m = 9 in eqn 2
v = 5 + 2(9)
v = 5 + 18
<h3>v = 23</h3>
Thus number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23
Answer:
x = 4 or x = 1 or x = -2 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^4 - 3 x^3 - 21 x^2 - 2 x + 24 = 0
The left hand side factors into a product with four terms:
(x - 4) (x - 1) (x + 2) (2 x + 3) = 0
Split into four equations:
x - 4 = 0 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0
Add 4 to both sides:
x = 4 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 4 or x = 1 or x + 2 = 0 or 2 x + 3 = 0
Subtract 2 from both sides:
x = 4 or x = 1 or x = -2 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 4 or x = 1 or x = -2 or 2 x = -3
Divide both sides by 2:
Answer: x = 4 or x = 1 or x = -2 or x = -3/2
C: tan 50 degrees that's your answer
Answer:
-3x - 7
Step-by-step explanation:
-3x - 6 - 1 = -3x - 7
