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Vlad [161]
2 years ago
9

The sum of 5 consecutive numbers is 135

Mathematics
1 answer:
enot [183]2 years ago
6 0
27+27+27+27+27 is 135
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at a concession stand 9 slices of pizza and 5 soft pretzels cost $33.25. If 4 slices of pizza and 6 soft pretzels cost $19.50. W
jok3333 [9.3K]

Answer:

The cost of soft pretzel is $1.25

Step-by-step explanation:

Let $x be the price of one slice of pizza and $y be the price of one soft pretzel.

1. 9 slices of pizza cost $9x and 5 soft pretzels cost $5y. Together they cost $33.25, then

9x+5y=33.25.

2. 4 slices of pizza cost $4x and 6 soft pretzels cost $6y. Together they cost $19.50, then

4x+6y=19.50.

3. Solve the system of two equations:

\left\{\begin{array}{l}9x+5y=33.25\\4x+6y=19.50\end{array}\right..

Multiplythe first equation by 4, the second equation by 9 and subtract them:

4(9x+5y)-9(4x+6y)=4\cdot 33.25-9\cdot 19.50,\\ \\36x+20y-35x-54y=133-175.5,\\ \\-34y=-42.5,\\ \\y=\$1.25.

Then

4x+6\cdot 1.25=19.50,\\ \\4x=19.50-7.50,\\ \\4x=12,\\ \\x=\$3.

6 0
3 years ago
Read 2 more answers
Im in algebra II honors and right now we are working on parabolas and quadratic equations. Can someone help me understand how to
Maurinko [17]

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function.

The standard form of a parabola is y=ax2++bx+c , where a≠0 . The vertex is the minimum or maximum point of a parabola. If a>0 , the vertex is the minimum point and the parabola opens upward. If a<0 , the vertex is the maximum point and the parabola opens downward.

8 0
2 years ago
Luisa recorded her dog’s weight, in kilograms, each week for 9 wk.
svp [43]
<span>In order to find the median weight we must arrange the given values in an ascending order and take the middle one. Doing so lets us see that the dog's median weight was 4.8 kg.</span>
3 0
2 years ago
If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle
SOVA2 [1]

Answer:

35cm

Step-by-step explanation:

Given data

Length= 21cm

Width= 28cm

Diagonal= ???

Applying Pythagoras theorem

D^2= L^2+W^2

D^2= 21^2+28^2

D^2= 441+784

D^2= 1225

D= √1225

D= 35cm

Hence the diagonal is 35cm

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3 years ago
An investor invested a total of ​$1900 in two mutual funds. One fund earned a 7​% profit while the other earned a 4​% profit. If
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You have to add the numbers
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