Answer:
r = 8,9,10
Step-by-step explanation:
The given inequality is :
5r≤6r−8 ...(1)
We need to find the value of r.
Subtracting 5r to both sides of the inequality .
5r-5r≤6r-5r−8
0≤r−8
r ≥ 8
Hence, the values of r are 8,9,10.
Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
Answer:
Carmen bought 5 pounds of coffee
Step-by-step explanation:
The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.
She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:
80 - 8.44x = 37.80
8.44x = 80 - 37.80
8.44x = 42.2
x = 42.2/ 8.44 = 5
x = 5 pounds.
Carmen bought 5 pounds of coffee
Answer:
Step-by-step explanation:
f(x) = 1/4 x²+bx+10
the derivate is : f'(x) = 1/2 x +b
you have : f'(6)=0
1/2 (6)+b=0
3+b =0
b = -3
so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1
f(x) = 1/4(x-6)²+1... the vertex form
Answer: m< MIH is 34°
M< AVM is 70°
And the angle of the obtuse angle formed at the intersection of AV and HI is 104°
Step-by-step explanation: starting with m<MIH, AH is parallel to MI, so that would make the same angle H has the same for I. (34°)
Next is m<AVM. The angle of m<LAH is 110°. So the angle of m<HAV (because it's supplementary of it) is 70 (110+70=180). Which makes m<AVM 70° since it's vertical to each other.
Since we got those answers, the next one you just plug it in, and the answer would be 104°
