Answer:
2,500
Step-by-step explanation:
Multiply 10,000 with 1/4 and since 1/4 equals to 25%.
10,000 x 1/4 = 2,500
Your answer is there and I hope this helps!
I assume a unit rate is simply ms^-1 or whatever.
In order to determine m/s one must make the "per whatever" part equal to 1. In this case it is seconds, so we must make seconds equal to 1.
If in 17 seconds it travels 238 metres, that means in 1 second it travels 238/17m=14m
Therefore the unit rate (speed) of the car is 14m/s or 14ms^-1
1. all functions are relations.
2.
-7 + 3(-12) ÷ (-3)
-7 - 36 ÷ -3
-7 - (-12)
-7 + 12
5
3.
f(n) = n² - n f(-4)
f(-4) = -4² - (-4)
f(-4) = 16 - (-4)
f(-4) = 16 + 4
f(-4) = 20
hope this helped, God bless!
A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.
“Or” indicates that, as long as either statement is true, the entire compound sentence is true.
Now as shown in the graph, the solution inequality of the graph is :
x > 3 and x < 5 [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]
Now let's solve each option to find if it fits in with the above inequality
Option 1 : 2x-4 > 6 or 3x < 9
⇒ x > 5 or x < 3
Option 2 : 2x - 4 < 6 and 3x > 9
⇒ x < 5 and x > 3
Option 3 : 3x + 8 > -7 or -4x < 12
⇒ 3x > -15 or x < -3
⇒ x > -5 or x < -3
Option 4 : 3x + 8 < -7 and -4x > 12
⇒ 3x < -15 and x > -3
⇒ x < -5 and x > -3
So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9
has its solution set on the graph.
Suppose you add <em>x</em> oz of 10% alcohol to <em>y</em> oz of pure alcohol. Then the mixture has a total volume of <em>x</em> + <em>y</em> oz, and we want to end up with 16 oz so that
<em>x</em> + <em>y</em> = 16
For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then
0.1<em> x</em> + 1 <em>y</em> = 2.24
Solve for <em>y</em> in both equations:
<em>y</em> = 16 - <em>x</em>
<em>y</em> = 2.24 - 0.1 <em>x</em>
Set them equal to one another and solve for <em>x</em>, then for <em>y</em>.
16 - <em>x</em> = 2.24 - 0.1 <em>x</em>
13.76 = 0.9 <em>x</em>
<em>x</em> = 13.76/0.9 ≈ 15.29
<em>y</em> = 16 - 15.29 ≈ 0.71
So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.
