Answer:
I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5
-8=-8
Step-by-step explanation:
Answer: 7 packs of gum.
Step-by-step explanation:
If the total amount of the purchase is $8.82 and the individual price is $1.26, to find out how many packs Kareem purchased, we need to divide the total amount spent ($8.82) by the amount of each pack ($1.26), so:
8.82 ÷ 1.26 = 7
So, Kareem bought 7 packs of gum.
Answer:
D = 25
Step-by-step explanation:
For 2 lines to be parallel, they must have the same sloe;
Given the coordinates (-2,4)and (5,D)
Slope = D-4/5-(-2)
Slope = D-4/5+2
Slope = D-4/7
Given the equation y = 3x + 4, comparing to y = mx+b
mx = 3x
m = 3
Hence the slope is 3
Equating the slopes
D-4/7 = 3
D-4 = 3*7
D-4 = 21
D = 21+4
D = 25
Hence the value of D is 25
Answer:
a = 5 and b = 12
Step-by-step explanation:
<u>Step 1: Find angle B</u>
<em>Angle C = 90°</em>
<em>Angle A = 22.6°</em>
<em>Angle B = B</em>
<em>All angles in a triangle are equal to 180°.</em>
Angle A + Angle B + Angle C = 180°
22.6 + 90 + B = 180°
B = 180 - 112.6
B = 67.4°
<u>Step 2: Find the value of side AC 'b'</u>
<em>Hypotenuse = 13</em>
<em>Adjacent = b</em>
<em>Angle A = 22.6°</em>
Cos (Angle) = Adjacent/Hypotenuse
Cos (22.6) = b/13
b = 12
<u>Step 3: Find the value of side CB 'a'</u>
<em>Hypotenuse = 13</em>
<em>Opposite = a</em>
<em>Angle A = 22.6°</em>
Sin (angle) = Opposite/Hypotenuse
Sin (22.6°) = a/13
a = 4.99 rounded off to 5
Therefore, the value of a=5 and b=12.
!!
Step-by-step explanation:
this is your answer...........
