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Salsk061 [2.6K]
3 years ago
6

The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. Th

e second number is:
(a) 15, (b) 20, (c) 30, (d) 32, (e) 33
Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

Let the three numbers be x, y and z.

Sum of the numbers is 98.

x + y + z = 98………………(i)

The ratio of the first to the second is 2/3.

x/y = 2/3.

x = 2/3 × y.

x = 2y/3.

The ratio of the second to the third is 5/8.

y/z = 5/8.

z/y = 8/5.

z = 8/5 × y.

z = 8y/5.

Put the value of x = 2y/3 and z = 8y/5 in (i).

2y/3 + y + 8y/5 = 98

49y/15 = 98.

49y = 98 × 15.

49y = 1470.

y = 1470/49.

y = 30 .

Therefore, the second number is 30.

Answer: (c)

Step-by-step explanation:

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Could it be like 1/8 of 100?
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Which equation represents a line that passes through (–9, –3) and has a slope of –6?
tatiyna

Answer:

y+3 = -6(x+9)

Step-by-step explanation:

m(x-x1)= (y-y1)

-6[x-(-9)] = [y-(-3)]

-6(x+9) = y+3

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6 0
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math question: i write 17 text messages to friends each week for x weeks in a row. write an expression for total members
8090 [49]

Answer:

17x = y

Step-by-step explanation:

Since we know that you write 17 text messages a week. 17 will be our constant number, now then after you said for x weeks.

Meaning that x would be our variable cause we can put an input of any number, then put it next to 17 because that is how many times you text a week.

17x = y

17 (how many times you text per week) x (how many weeks) = y (texts in total)

6 0
3 years ago
Find the equation for the trend line through the points (0, 11) and (100, 33). Then use it to predict the number of baskets Romy
sleet_krkn [62]

Answer:

28 baskets

Step-by-step explanation:

The equation for a linear trend line is given by:

y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x is zero).

The equation of a line passing through two points (x_1,y_1)\ and\ (x_2,y_2) is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

y represent the number of baskets made and x represents the time take. Given that the line passes through the points  (0, 11) and (100, 33), hence:

y-11=\frac{33-11}{100-0}(x-0)\\\\y-11=\frac{11}{50}x\\\\y=  \frac{11}{50}x+11

The number of baskets Romy would make after practicing for 80 minutes (x = 80) is:

y=\frac{11}{50}x+11\\\\y=\frac{11}{50}(80)+11  \\\\y=17.6+11\\\\y=28.6\\\\Therefore\ y\ =\ 28\ baskets

5 0
3 years ago
a city has a population of 370000 people. suppose that each year the population grows by 4,5%. what will the population be after
sashaice [31]

Population=370000

Population growth=4.5%

Increase in Pop growth in a year=

( {100+4,5}/100 )×370000= 386,650 people

Therefore growth in 15years=

386650×15 =

5,413,100 people

6 0
3 years ago
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