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antiseptic1488 [7]
4 years ago
14

13. Higher Order Thinking Kyra has a rock collection. When she puts her rocks into 2 equal piles, there are no rocks left over.

When she puts her rocks into 3 equal piles, there are still no rocks left over. When she puts her rocks into 4 equal piles, there are still no rocks left over. How many rocks could Kyra have?
Mathematics
1 answer:
NNADVOKAT [17]4 years ago
3 0

she has 12 rockes in her collection. Hope this helps!


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The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
RoseWind [281]

The length of longer base is 41 feet

<em><u>Solution:</u></em>

<em><u>The area of trapezoid is given as:</u></em>

A = \frac{a+b}{2} \times h

Where , "a" and "b" is the length of base and "h" is the height

The length of one base of a trapezoid is 19 less than five times the length of the other base

a = 19 less than fives times b

a = 5b - 19

Height of 18 feet and an area of 477 ft squared

h = 18 feet

area = 477 square feet

<em><u>Substitute the values in above formula</u></em>

477=\frac{5 b-19+b}{2} \times 18\\\\477=(6b-19) \times 9\\\\477 = 54b-171\\\\54b = 648\\\\b=12

Therefore,

a = 5b - 19 = 5(12) - 19 = 41

Thus length of longer base is 41 feet

5 0
3 years ago
A scale drawing shows a circular fountain with a diameter of 12 units. The actual fountain has a diameter of 60 feet. Select all
EleoNora [17]

Answer:i think its 70 if im wrong im very sorry

Step-by-step explanation:

5 0
3 years ago
Write the sentence as an inequality.
KiRa [710]

Answer:

1. n + 7 ≤ 9

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3. 3 < s + 4

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7 0
1 year ago
Una compañía de danza de 156 bailarines hace una coreografía formando filas y columnas.Si en una fila hay 20 bailarines más que
Zigmanuir [339]

Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado lo siguiente:

Número de bailarines = 156

Sea número de bailarines en una columna = c

Número de bailarines seguidos = c + 20

Multiplicar el número de bailarines en fila y columna dará el número total de bailarines.

Por lo tanto,

c * (c + 20) = 156

c² + 20c = 156

c² + 20c - 156 = 0

c² + 26c - 6c - 156 = 0

c (c + 26) - 6 (c + 26) = 0

(c + 26) = 0 o (c - 6) = 0

c = - 26 o c = 6

C no puede ser negativo

Por lo tanto,

Número de bailarines en columna = 6

Número de bailarines en fila = 20 + 6 = 26

6 0
3 years ago
Please help me out and make sure to show your work! thanks
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Answer:

1075 sq ft

Step-by-step explanation:

There are a few ways to do this but I am only going to show one.

35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075

8 0
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