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Pavel [41]
3 years ago
5

Student Council sold caps and shirts as a fundraiser. The caps cost $5 and the

Mathematics
1 answer:
Sidana [21]3 years ago
5 0

Answer:

x+y=80 and 5x+10y=650 system of equations can be used to solve for the number of shirts sold.

Step-by-step explanation:

Given that:

Cost of each cap = $5

Cost of each shirt = $10

Total amount made = $650

Total caps and shirts sold = 80

Let,

x be the number of caps sold

y be the number of shirts sold.

According to given statement;

x+y=80

5x+10y=650

Hence,

x+y=80 and 5x+10y=650 system of equations can be used to solve for the number of shirts sold.

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Algebraic expression for the word phrase. 6 more than the difference of W and 3.
sergeinik [125]

Answer:

(W-3)-6

Step-by-step explanation:

it means that the difference between w and 3 is less than the other equation by 6

Read it carefully ;)

8 0
3 years ago
Read 2 more answers
Complete each statement using <, >, or =. Use your number line to explain your reasoning
Stels [109]

Answer:

<

Step-by-step explanation:

6 0
2 years ago
State the the roots of y=x^2+8x
Likurg_2 [28]

Answer:

The roots of the given equation are x = 0 and x = -8.

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

  • Factoring/Expanding

Quadratic Equations

  • Solving quadratic equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

y = x² + 8x

<u>Step 2: Find Roots</u>

  1. [Quadratic] Factor:                                                                                          y = x(x + 8)
  2. [Quadratic] Set up [Solve]:                                                                             0 = x(x + 8)
  3. [Quadratic] Define:                                                                                         x = 0, -8

∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.

---

Topic: Algebra I

8 0
3 years ago
Find all the missing elements:
Evgesh-ka [11]

Answer:

a=10.8; c=4.3

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

Two of the angles are given as 40 deg and 120 deg.

Subtract the measures of both from the sum to get the last angle:

180-40-120=20; ∠C=20°

Using Law of Sines: \frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}

\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084

\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109

8 0
3 years ago
jake performed an experiment to find out which type of chocolate melts the fastest, milk chocolate or dark chocolate. He tested
antoniya [11.8K]

Answer:

The correct option is;

After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt

Step-by-step explanation:

Here we have  for the milk chocolate

Min = 29 s

Lower quartile Q₁ = 44 s

Median = 64 s

Upper quartile Q₂ = 93 s

Max = 129 s

For the dark chocolate

Min = 210 s

Lower quartile Q₁ = 237 s

Median = 259 s

Upper quartile Q₂ = 295 s

Max = 320 s

As seen from the values of the box plot, after the median time of 64 seconds which represents half of the test results of the milk chocolate about half of the brands of milk chocolate are likely to melt, while the dark brands only start to melt after 210 seconds.

Therefore the correct option is

After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt.

8 0
3 years ago
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