1/4z + 8 = 12
1/4z = 12 - 8
1/4z = 4
z = 4 / (1/4)
z = 4 * 4/1
z = 16 <===
==================
-3(2n + 1) + 7 = -5
-6n - 3 + 7 = -5
-6n + 4 = -5
-6n = -5 - 4
-6n = -9
n = -9/-6
n = 3/2 <===
===================
2.5(t - 2) - 6 = 9
2.5t - 5 - 6 = 9
2.5t - 11 = 9
2.5t = 9 + 11
2.5t = 20
t = 20 / 2.5
t = 8 <===
Answer:
4
Step-by-step explanation:
point is -2,4
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90
I encountered this problem before but it had an accompanying image and list of answer choices.
I'll attach the image and include the list of options.
Each unit on the grid stands for one mile. Determine two ways to calculate the distance from Josie's house to Annie's house.
A) Distance Formula and Slope Formula
B) Midpoint Formula and Slope Formula
C) Distance Formula and Midpoint Formula
<span>D) Distance Formula and Pythagorean Theorem
</span>
My answer is: D.) Distance formula and Pythagorean Theorem.
When looking at the image, I can visualize a right triangle. I'll simply get the measure of the long and short legs and solve for the hypotenuse.
Since the distance formula is derived from the Pythagorean theorem, it can be used to determine the distance from Josie's house to Annie's house.