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andrey2020 [161]
3 years ago
15

Solve this system of equations using the substitution methody=x+7-2x-11=y​

Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer:

x=-6, y=1

Step-by-step explanation:

Let's solve your system by substitution.

y=x+7;−2x−11=y

Step: Solve y=x+7 for y:

y=x+7

Step: Substitute x+7 for y in −2x−11=y:

−2x−11=y

−2x−11=x+7

−2x−11+−x=x+7+−x(Add -x to both sides)

−3x−11=7

−3x−11+11=7+11(Add 11 to both sides)

−3x=18

−3x/ −3 = 18/ −3  (Divide both sides by -3)

x=−6

Step: Substitute−6 for x in y=x+7:

y=x+7

y=−6+7

y=1  (Simplify both sides of the equation)

Answer:

x=−6 and y=1

 

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A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor
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Answer:

2.4 hours

Step-by-step explanation:

Let total work = X

Rate of work done = X ÷ time

Rate of A = X/4

Rate of B = X/6

If they work together, rate is the sum of their individual rates, i.e.

X/4 + X/6

= (3X + 2X)/12 (taking LCM)

=5X/12

Rate = X/time

5X/12 = X/time

time = X÷(5X/12)

time = X × 12/(5X)

time = 2.4 hours

Shortcut:

Product of individual times/sum of individual times

= (4×6)/(4+6)

=24/10

=2.4 hours

8 0
4 years ago
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Chandani purchased some parrots. 20% flew away and 5% died. Of the remaining, 45% were sold. Now 33 parrots remain. How many par
Paha777 [63]

Answer:

80 parrots were purchased.

Step-by-step explanation:

Let the total number of parrots be k.

If 20% (or 20/100 = 1/5) flew away and 5% (5/100 = 1/20) died, the remaining parrots will be k – (¹/₅k + ¹/₂₀k) = k – ¼k = ¾k.

Of the remaining, 45% (or 45/100 = 9/20) were sold, which means the total number of sold parrots will be ¾k × ⁹/₂₀ = ²⁷/₈₀k.

The remaining parrots = ¾k – ²⁷/₈₀k = ³³/₈₀k = 33

k = 33 × ⁸⁰/₃₃ = 80 parrots were purchased.

8 0
3 years ago
Work out m and c for the line: y = 1 − 3 x
wolverine [178]

Answer:

m=-3

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Step-by-step explanation:

y=mx+c

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4 0
3 years ago
Some girls in a Girl Scout troop are pairing up with some boys in a Boy Scout troop to practice square dancing. Two-thirds of th
Natalka [10]

Answer:

Fraction of the scouts are square dancing is \frac{19}{30}.

Step-by-step explanation:

Each pair  is one Girl Scout and one Boy Scout.

So,  to  the final fraction ( of the pairs) we are going to get 1/2 from the fraction of girls and 1/2 from the fraction of boys.  

Girls= \frac{2}{3} *\frac{1}{2} =\frac{2}{6}

Boys= \frac{3}{5} *\frac{1}{2} =\frac{3}{10}

To get the fraction of the scouts that are square dancing,  we have to add the fraction of girls ,  with the fraction of boys.  

=\frac{2}{6} +\frac{3}{10}

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This means that  from 30 scouts ,  19 are dancing.  

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Please help, will give brainliest
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Step-by-step explanation:

66 ft would be correct

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