Answer:
$20 on each cat and $40 on each dog
Step-by-step explanation:
Call the amount spent on each, cat, x and let the amount spent each dog = y = 2x
So we have the following constraints:
y = 2x (1)
164(x) + 24y <= 4240 (2)
Substituting (1) into 2 for y, we have
164x + 24(2x) <= 4240 simplify
212x <= 4240 divide both sides by 212
x<= $20 on each cat
And y = 2(20) = $40 on each dog
So she can spend $20 on each cat and $40 on each dog
Answer:
Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.
Step-by-step explanation:
Given:
Cos(45° - 60°)
We have to apply the formula of cosine for difference of the two angles.
Formula:
Plugging the values.
⇒
We know that the values :
and
So,
⇒
⇒
⇒
⇒ ...<em>rationalizing </em>
⇒
⇒ ...<em>taking 2 as a common factor</em>
<em>⇒ </em>
To find the exact values we have to put the values of sq-rt .
As<em>, </em> and
Then
<em>⇒ </em><em />
<em>⇒ </em><em />
⇒
So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.
No slope because the points are vertical.
Answer:
54
Step-by-step explanation:
6500/12=541....
540/10
54
Answer:
2
Step-by-step explanation:
f(-1)=2(-1)+2+1
f(-1)=-2+2+1
f(-1)=1
f(0)=2(0)+2+1
f(0)=0+2+1
f(0)=3
Use slope formula for the average rate of change.
(y2-y1)/(x2-x1)
(3-1)/(0+1)
(2)/(1)
2
Hope this helps!
If not, I am sorry.