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bonufazy [111]
3 years ago
15

2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two

integers. What are the integers?
Steve helped me yesterday and gave me the hint 8+9=17. Then I thought about it and saw 8*9=72, but I am confused about how to put it into an equation.
Mathematics
1 answer:
Lena [83]3 years ago
8 0
To answer this item, we let x be the first positive integer. Then, the second would be x+1. Their reciprocals would be 1/x and 1/(x+1). Then, the equation that would best represent the scenario above is,
                            1/x + 1/(x+1) = 17/72
Solving the equation above,
                           ((x+1) + x) / (x)(x+1) = 17/72
If we take the numerators of both sides of the equation,
                              (x+1) + x = 17
The value of x from the equation is 8 and x+1 would be 9. Thus, the answer would be 8 and 9. 
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3. A 5 ft tall person casts an 8 ft shadow, and stands next to a tree that casts a 65
NARA [144]

Answer:

104 ft

Step-by-step explanation:

The ratio of object to shadow is 5:8 and the tree is 65 so 65/5 is 13 and 13*8=104 so that's your answer! Sorry if it doesn't make to much sense.

6 0
2 years ago
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed
madreJ [45]
Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³ 
4 0
3 years ago
Read 2 more answers
Can someone please help me with this?
Genrish500 [490]
Answer is x=1.5 100% jus took it lol
8 0
3 years ago
Which equation can be represented using the number line?
kvasek [131]

Answer:

the first one : 3/4 ÷ 1/8 = 6

Step-by-step explanation:

remember, dividing something by a fraction is the same as multiplying by the upside-down fraction.

like here

3/4 ÷ 1/8 = 3/4 × 8/1 = 3×8 / 4×1 = 24/4 = 6

you can see that confirmed in the graph, where every 1/4 contains 2/8. so, 1/8 fits 6 times into 3/4.

the other answer options are simply not true

1/8 ÷ 3/4 = 6

1/8 × 4/3 = 4/24 = 1/6 <> 6

6 ÷ 3/4 = 1/8

6/1 × 4/3 = 24/3 = 8 <> 1/8

6 ÷ 1/8 = 3/4

6/1 × 8/1 = 48 <> 3/4

8 0
2 years ago
a baseball team scored the following number of runs in its game this season: 6, 2, 5, 9, 11, 4, 5, 8, 6, 7, 5. there is one more
frez [133]
After the season, 12 games would be played, and you need to know this to work out the mean
Let's call the number of points needed for a 6 point average 'x'
The mean would be: 6 + 2 + 5 + 9 + 11 + 4 + 5 + 8 + 6 + 7 + 5 + x = 12 * 6
Simply put:
68 + x = 72
Then simplify it
x = 4
They would need 4 points to end the season with an average of 6 points

7 0
3 years ago
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