The answer is 177/8 or one hundred seventy seven over eigth.
1/8(8x + 15) = 24
Multiply both sides by 8:
8* 1/8(8x + 15) = 8 * 24
8x + 15 = 192
Subtract 15 from both sides:
8x +15 - 15 = 192 - 15
8x = 177
Divide both sides by 8:
8x/8 = 177/8
x = 177/8
Answer: 6 sandwiches
Step-by-step explanation:
To get the amount of roast beef that Marissa used you would have to subtract 2 3/4 from 5...which is 2.25 pounds of beef that she used.
Then you would divide 2.25 by 3/8 which is 6... meaning Marisa made 6 sandwiches!
1+2i
to find the midpoint you do it just like you did with rectangular coordinates,
add and divide by 2 the real component and the imaginary components.
and
Answer:
The value of the snack bar is $ 2 and that of the magazine subscription is 25 $
Step-by-step explanation:
We have a system of two equations and two unknowns, which would be the following:
let "x" be the cost of the snack bar
Let "y" be the cost of the magazine subscription
16 * x + 4 * y = 132
20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6
replacing:
16 * x + 4 * (190 - 20 * x) / 6 = 132
16 * x + 126.66 - 13.33 * x = 132
2.66 * x = 132 - 126.66
x = 5.34 / 2.66
x = 2
for "y":
y = (190 - 20 * 2) / 6
y = 25
Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $
Answer:
1.) 16.5
2.) 24.2 ft
3.) 10.8 ft
Step-by-step explanation:
1.) So first you need to use Heron's formula
S = (A + B + C)/2
So
S = (17 + 17 + 8)/2
S = 21
Now
Area =
So
So the Area is equal to 66.1
Now to find the height we use the Area of the triangle formula
A = 1/2 B*H
66.1 = 1/2(8) * H
66.1 = 4H
H = 16.525
So the height of the triangle is 16.5 units tall
2.) For this question you just use the Pythagorean theorem.
a² + b² = c²
So 22² + 8² = c²
484 + 64 = c²
548 = c²
= c
c = 24.1660919472 ft
So the length of the wire is 24.2 ft long
3.) Again this is the Pythagorean theorem.
a² + b² = c²
So 10² + 4² = c²
100 + 16 = c²
116 = c²
= c
c = 10.7703296143 ft
So the length of the banner is 10.8 ft long