All categories

2 years ago

We have 6 tents for 18 campers each tent holds 2 or 4 campers exactly how many of our tents hold 2

Mathematics

1 answer:

wolverine [178]2 years ago

8 0

Answer:

3 tents hold 2 campers

Step-by-step explanation:

The given relations can be expressed as a single equation in the number of 2-camper tents.

Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...

2x +4(6 -x) = 18

-2x +24 = 18

-2x = -6 . . . . . . subtract 24

x = 3 . . . . . . . divide by -2

Exactly 3 tents hold 2 campers.

_____

<em>Additional comment</em>

The other 3 tents hold 4 campers.

Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.

You might be interested in

Joel biked 9 miles east and 12 miles north. If he biked back to his starting point using the most direct route, how many miles w

love history [14]

Answer:

36 Miles

Step-by-step explanation: 15 + 9 + 12 = 36 miles

6 0

4 years ago

Read 2 more answers

What is the volume of a rectangular prism with length 7 cm, height 8 cm, and width 15 cm? A. 840 cm3 B. 840 cm2 C. 840 cm

SVETLANKA909090 [29]

It would be A
8*7*15=840

3 0

3 years ago

What can be constructed from polygons alone?

UkoKoshka [18]

Cone (not including the vertex)

Cylinder

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%7D" id="TexFormula1" title="\sqrt[3]{4}" alt="\sqrt[3]{4}" align="absmiddle

Scorpion4ik [409]

Answer:

Simplified from: 2^⅔

4^⅓

(2²)^⅓

2^⅔

4 0

3 years ago

1.) Evaluate the indicated function, where f(x) = x2 − 8x + 3and g(x) = 7x − 5.

noname [10]

Answer:

1) (f + g) (5) = 18, 2) (f + g) (1/2) = - 13/4, 3) (f - g) (-1) = 14, 4) (f * g) (7) = 456, 5) (f/g) (- 2) = - 3/4, 6) (g ○ f)(x) = 6 x - 23, (f ○ g)(x) = 6 x - 6, 7) $(g \circ f) (x) = \frac{9}{x} - 24$ , $(f \circ g) (x) = \frac{1}{x - 2} + 5$ , 8) (f ○ g)(5) = 3

Step-by-step explanation:

1) $(f + g) (x) = x^{2}-8\cdot x + 3 + 7 \cdot x - 5\\(f + g) (x) = x^{2} - x - 2\\(f + g) (5) = 18$

2) $(f + g) (x) = x^{2} - 7 \cdot x + 4 + 6 \cdot x - 7\\(f + g) (x) = x^{2} - x - 3\\(f + g) (\frac{1}{2} ) = - \frac{13}{4}$

3) $(f - g) (x) = x^{2} - 3 \cdot x + 4 - 4 \cdot x + 2\\(f - g) (x) = x^{2} - 7 \cdot x + 6\\(f - g) (-1) = 14$

4) $(f \cdot g) (x) = (x^{2}-4\cdot x + 3) \cdot (3\cdot x - 2)\\(f \cdot g) (7) = 456$

5) $(f / g) (x) = \frac{x^{2}-3\cdot x + 2}{4 \cdot x - 8} \\(f / g) (-2) = - \frac{3}{4}$

6) $(g \circ f) (x) = 3 \cdot (2 \cdot x - 8) + 1\\(g \circ f) (x) = 6 \cdot x - 23\\(f \circ g) (x) = 2 \cdot (3 \cdot x + 1) - 8\\(f \circ g) (x) = 6 \cdot x - 6$

7) $(g \circ f) (x) = 3 \cdot (\frac{3}{x} - 6) - 6\\(g \circ f) (x) = \frac{9}{x} - 24\\(f \circ g) (x) = \frac{3}{3 \cdot x - 6} + 5\\(f \circ g) (x) = \frac{1}{x - 2} + 5$

8) $(f \circ g) (x) = 2 \cdot (x^{2} - 5 \cdot x) + 3\\(f \circ g) (x) = 2 \cdot x ^{2} - 10 \cdot x + 3\\(f \circ g) (5) = 3$

3 0

3 years ago