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just olya [345]
3 years ago
8

A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Whic

h system of equations can be used to
find the number of pencils (x) and pens (/) he bought?
Ox+ 1.5y = 7
X + y = 6
O 1.5x + y = 7
x=6y
Ox + 2y = 7
6x = 1.5y
O 2x + y = 7
6x = 1.5y
Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer: A

Step-by-step explanation:

Because he bought 6 items, x + y = 6.  Because a pencil costs 1 dollar and a pen costs 1.5 dollars, and Stefan spent 7 dollars, 1x+1.5y=7.

<em>Hope it helps <3</em>

Bezzdna [24]3 years ago
6 0

Answer:

The first equation is correct

Step-by-step explanation:

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A fish is 4 feet under water and swims up 1 foot towards the surface. What is its position
vampirchik [111]

Answer: \Large\boxed{-3~\text{feet under water}}

Step-by-step explanation:

<u>Given information</u>

\text{Fish is 4 feet under water (-4)}

\text{Swims up by 1 foot (+1)}

<u>Derived expression from the given information</u>

\text{Position = Initial + Change}

<u>Substitute values into the given expression</u>

\text{Position = }(-4)+(1)

<u>Simplify the position</u>

\text{Position = }-3

<u>Therefore, the current position of the fish is:</u>

\Large\boxed{-3~\text{feet under water}}

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7 0
1 year ago
Kali has a 20 foot ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 5 feet away from t
Musya8 [376]
A^2 + b^2 = c^2
5^2 + b^2 = 20^2
25 + b^2 = 400
b^2 = 375
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3 years ago
Roots of Quadratics 50 PTS!!!
noname [10]

The values of k for the different quadratic equation solutions are as follows

a  the equation 2x² - x + 3k = 0 has two distinct real roots

  • k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

  • k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

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d the equation 3kx² - 3x + 2 = 0 has no real solutions

  • k < ± 1.633

<h3>How to solve quadratic equations to get different answers</h3>

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

-b+\frac{\sqrt{b^{2}-4ac } }{2a}     OR     -b-\frac{\sqrt{b^{2}-4ac } }{2a}

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

  • b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

  • b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots  -x² + 3x + (k + 1) = 0

  • b² - 4ac > 0

substituting the values gives  

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get  no real solutions  3kx² - 3x + 2 = 0

  • b² - 4ac < 0

substituting the values gives  

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

Learn more about roots of quadratic equations: brainly.com/question/26926523

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4 0
9 months ago
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aleksley [76]

Answer:

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Step-by-step explanation:

multiply each term inside the () by 6

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You would want to sell the bag of candy in ounces, unless you have way too much candy.
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