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Solnce55 [7]
4 years ago
15

Four glasses of milk and 3 snack bars have a total of 93 carbs, and 2 glasses of milk and 4 snack bars have a total of 74 carbs.

Determine how many carbs are in one glass of milk and in one snack bar
Mathematics
1 answer:
Sedbober [7]4 years ago
3 0
Ok... we'll do the same here, elimination

g = carbs in one glass of milk
b = carbs in a snack bar

\bf \begin{array}{llcll}
4g+3b=93&\implies &4g+3b=93\\
2g+4b=74&\boxed{-2}\implies &-4g-8b=-148\\
&&----------\\
&&0-5b=-55
\end{array}
\\\\\\
-5b=-55\implies b=\cfrac{-55}{-5}\implies \boxed{b=11}\\\\
-------------------------------\\\\
\textit{let's plug that in either, hmm the second equation}\\\\
2g+4(11)=74\implies 2g+44=74\implies 2g=74-44
\\\\\\
2g=30\implies g=\cfrac{30}{2}\implies \boxed{g=15}

in this, we can simply multiply by -2 at the bottom to get a -4g, and thus "eliminate" the g-variable
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4 0
3 years ago
The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of
EastWind [94]
If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / <span>3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
</span>s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is <span>n² + 4n + 4.</span>
8 0
3 years ago
A man drove 5 miles directly east from his home, made a left turn at an intersection, and then traveled 11 miles duc north to hi
lubasha [3.4K]
Answer: About 12.083



Explanation:
In order to solve this you would use Pythagorean theorem.

You are given the length of the two legs (5 and 11)

So by plugging in 5 and 11 into A Squared plus B Squared = C Squared, you get that C^2= 146.

By finding the square root of both sides you get square root of 146, which is approximately 12.803

5 0
3 years ago
7. Find the distance between the points (13, 8) and (-12, 6)
Alik [6]

9514 1404 393

Answer:

  √629 ≈ 25.08

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08

The distance between the points is about 25.08 units.

3 0
2 years ago
What is the exact volume of the cone with a radius of 7in and a height of 4in use 3.14 for π
vfiekz [6]

Answer:

The exact volume of the cone is \frac{196}{3}\pi\ in^{3}

Step-by-step explanation:

we know that

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=7\ in

h=4\ in

substitute the values

V=\frac{1}{3}\pi (7^{2})(4)=\frac{196}{3}\pi\ in^{3}

8 0
3 years ago
Read 2 more answers
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