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natulia [17]
3 years ago
13

PLEASE HELP ME WITH THESE TWO QUESTIONS

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
They are both the second choices 1.)Transitive Property
2.)Reflective Property
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A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 5 pounds of walnuts, the total cost
umka21 [38]

c = cost per pound of chocolate chips

w = cost per pound of walnuts.

\bf \stackrel{\textit{3 lbs of "c"}}{3c}+\stackrel{\textit{5 lbs of "w"}}{5w}~~=~~\stackrel{\textit{costs}}{15} \\\\\\ \stackrel{\textit{12 lbs of "c"}}{12c}+\stackrel{\textit{2 lbs of "w"}}{2w}~~=~~\stackrel{\textit{costs}}{33} \end{cases}\qquad \impliedby \textit{let's use elimination} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llccccccl} 3c+5w=15&\times (-4)\implies &-12c&+&-20w&=&-60\\ 12c+2w=33&&12c&+&2w&=&33\\ \cline{3-7}\\ &&0&&-18w&=&-27 \end{array}

\bf -18w=-27\implies w=\cfrac{-27}{-18}\implies \blacktriangleright w=\cfrac{3}{2} \blacktriangleleft \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{3c+5\left(\cfrac{3}{2} \right)=15}\implies 3c+\cfrac{15}{2}=15 \implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( 3c+\cfrac{15}{2} \right)=2(15)} \\\\\\ 6c+15=30\implies 6c=15\implies c=\cfrac{15}{6}\implies \blacktriangleright c=\cfrac{5}{2} \blacktriangleleft

6 0
3 years ago
Find the number of real number solutions for the equation. x^2+5x+7=0
koban [17]

Given a quadratic equation ax^2+bx+c=0, we define the discriminant as

\Delta = b^2-4ac

The number of real solutions of the equation depend on the sign of \Delta:

  • If \Delta>0 the equation has two solutions
  • If \Delta=0 the equation has one double solution
  • If \Delta the equation has no real solutions

In this case, we have

\Delta = 25-28=-3

And so this equation has no real solutions.

7 0
2 years ago
WILL GIVE BRAINLIEST TO BEST RESPONSE!
Monica [59]

You are given the X value, replace x with 2 in the first equation to solve for y:

y=2x +3

y = 2(2) +3

y = 4+3

y = 7

Now replace y with 7 and x iwth 2 in the second equation and solve for k:

y = -x +k

7 = -2 +k

Add 2 to both sides:

9 = k

so k = 9

The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.

K = 9

5 0
3 years ago
Find the missing side lengths. Show work. <br> x=______ y=_____
olga_2 [115]
X = 5
Y = 6
Simply we just compare the two shapes and we can see that 6 decreases to 4..so we would assume the rest would decrease by 2. If we were not so sure we could simply do a^2 + b^2 = c^2 and fill in the numbers
4 0
2 years ago
How many meters are in 6 feet
taurus [48]

Answer:

6ft=1.8288m

Hope it helps!

:D

7 0
2 years ago
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