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2 years ago

One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?

Mathematics

1 answer:

rjkz [21]2 years ago

5 0

Answer:

x(smaller)=4, y(bigger)=5

Step-by-step explanation:

(2x+3)*y=55

11*5=55

so, 2x+3=11

2x=8 after subtracting 3 from both sides

x=4 after dividing by 2 from both sides

y is then equal to 5 because 11y=55

divide both sides by 11, you get y=5, which means y>x, and y is the larger number.

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ivolga24 [154]

A real world example could be:
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3 years ago

Read 2 more answers

A table of values of a linear function is shown below.

ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{-6-(-3)}{0-(-1)}$

$$m=\frac{-6+3}{0+1}$

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y-intercept of the function is the point where x = 0.

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3 0

3 years ago

use the plot of the concentration of cu(no3)3 versus absorbance provided. if the absorbance of an unknown was determined to be 0

Helen [10]

Using the linear regression equation, the concentration of the unknown solution is 0.2161 M.

Linear regression describes the relationship of two variables. It may not be exact but it is the line that best fit the data. The equation for a linear regression is in the form y = bx + a, where x and y are the two variables.

If the absorbance of an unknown was determined to be 0.67 absorbance units, using the linear regression equation provided from the plot, substitute the value of absorbance to the variable y and solve for the value of x or the concentration.

y = 3.8674x - 0.1657

0.67 = 3.8674x - 0.1657

3.8674x = 0.67 + 0.1657

3.8674x = 0.8357

x = 0.2161

Hence, the concentration is 0.2161 M.

Learn more about linear regression here: brainly.com/question/25311696

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1 year ago

Write the equation of this line in Point-Slope Form.

Leona [35]

Answer:

y -3 = (-1/2)(x - 5)

Step-by-step explanation:

Slope of line: Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1. Thus, the slope is m = -1/2.

Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:

y -3 = (-1/2)(x - 5)

5 0

2 years ago

jason runs 440 yards in 75 seconds. At this rate, how many minutes does it take him to run a mile? (1 mile = 1,760 yards).

mamaluj [8]

Answer:

5 minutes

Step-by-step explanation:

we know that

Jason runs 440 yards in 75 seconds

using proportion

Find out how many minutes does it take him to run a 1.760 yards (one mile)

$\frac{440}{75}=\frac{1,760}{x}\\\\x=1,760(75)/440\\\\x= 300\ sec$

Convert seconds to minutes

Divide by 60

$300\ sec=300/60=5\ min$

8 0

2 years ago

One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers? ​

One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?