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steposvetlana [31]
3 years ago
6

A grocery clerk sets up a display of oranges in the form of a triangle using 14 oranges at the base and 1 at the top how many or

anges were used by the clerk to make the arrangement?
Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

Answer:

  105

Step-by-step explanation:

The numbers that can be used to form triangles are collectively called "triangle numbers." The n-th triangle number is the sum of all numbers less than or equal to n. It is ...

  n(n+1)/2

For n=14, the number is 14(15)/2 = 7·15 = 105.

The clerk used 105 oranges to make the arrangement.

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ivanzaharov [21]

Answer:

slope = 2

Step-by-step explanation:

Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:

(-2, -1) and (0, 3)

Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a <em>rise</em> of 4. The x went from -2 to 0, so that is a <em>run</em> of 2. "rise over run" means rise literally over run in a fraction like this:

m=\frac{rise}{run}

The more proper way to calculate slope looks like this, but it's really the same thing in the end:

m=\frac{y2-y1}{x2-x1}

where (x1, y1) and (x2, y2) are your 2 points.

Finally, the slope of this line is:

m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2

That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.

8 0
2 years ago
Which one is smallest 0.28,1/4,15%,0.65,32%,1/3
sveticcg [70]

Answer:

15%

Step-by-step explanation:

8 0
3 years ago
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What is the lcm of 18 and 30 using prime factorization?
Nuetrik [128]

18 = 2×3×3

30 = 2×3×5

The LCM will have factors of 2, 3², and 5. (Choose the highest power of each prime.)

2×3×3×5 = 90 is the LCM of 18 and 30.

8 0
3 years ago
Which values of x satisfy the inequality 0. 5 x minus 0. 75 greater-than-or-equal-to 3. 25 x greater-than-or-equal-to 5 x less-t
telo118 [61]

To solve the problem we should know about Expressions.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of x in the inequality should be ≥8.

Given to us

  • (0.5x - 0.75) ≥ 3.25

<h3>Solve the inequality,</h3>

(0.5x - 0.75) \geq  3.25\\\\0.5x  \geq  3.25+ 0.75\\\\0.5x\geq 4\\\\x\geq \dfrac{4}{0.5}\\\\x\geq 8

Hence, the value of x in the inequality should be ≥8.

Learn more about Inequality:

brainly.com/question/19491153

5 0
2 years ago
Is it possible to draw a triangle with angles 150°, 20° and 20°?<br> Explain your answer.
Maksim231197 [3]

Answer:

No, it is not possible.

Step-by-step explanation:

The Triangle Sum Theorem states that all the interior angles of a triangle will always add up to 180°, but 150 + 20 + 20 = 190.

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