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nata0808 [166]
3 years ago
13

Solve the system of equations by substitution. Simplify your answer. Write the

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

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If cheese is $4.40 per kilogram, what should i pay for 200 grams
Contact [7]
1 kg is 1,000 grams.


200 grams are 1/5 of 1000 grams, that is 1/5 of 1 kg.

Thus 200 g= 1/5 kg = 0.2 kg.



      1 kg of cheese is <span>$4.40, 
</span>
so 0.2 kg of cheese is \displaystyle{ \frac{0.2kg \cdot \$4.40}{1kg}}=4.40 \cdot0.2 \$= 0.88\$


Answer: $0.88


8 0
3 years ago
Read 2 more answers
Compare simplifying before multiplying fractions with simplifying after multiplying the fractions
Kipish [7]
<span>We will start using a new way to indicate simplifying fractions. When a numerator or 
a denominator gets simplified, we will cross it out with a slash and write the new 
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think about it in your mind: “I divide 12 by 4, and get 3. I divide 20 by 4, and get 5.”</span><span>You may not see any advantage over the “old” method yet, but this shortcut will 
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5 0
3 years ago
Read 2 more answers
What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
Tj worked for 5 hours and 45 minutes how should he write that on his time card
matrenka [14]

Answer:

Tj should write 5.75 hours on her time card.

Step-by-step explanation:

We have been given, Tj worked for 5 hours and 45 minutes.

We will convert 45 minutes to hours by dividing 45 by 60 as one hour has 60 minutes.

\frac{45 minutes }{60} \times\frac{hour}{minutes}

=0.75 hours

Hence, Tj should write 5.75 hours on her time card.

4 0
3 years ago
If Earth was 10 times farther away from the Sun than it is now, which planet would it be closest to? Compare Earth's new distanc
Phoenix [80]
You need the radius of all the orbits
earth radius is 150 million km
1.  150 million x 10 = 1500 million
From the website below Saturn would be the closest at 1,429 million km
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I hope this helps :D
8 0
3 years ago
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