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3 years ago

How many positive terms are in an arithmetic progression: 17.2; 17; 16.8

Mathematics

1 answer:

Fittoniya [83]3 years ago

7 0

Answer:

Step-by-step explanation:

a = first term = 17.2

tn = last term = 16.8

d= common difference = -0.2

n = number of terms = ?

To find the number of positive terms, we'll use the formula;

tn = a + (n - 1) d

Substituting the figures,

=> 16.8 = 17.2 + (n -1) -0.2

=> 16.8 - 17.2 = (n - 1) - 0.2

=> -0.4 = (n - 1) - 0.2

=> -0.4/-0.2 = n - 1

=> n - 1 = 2

=> n = 3

Therefore, the number of positive terms in the sequence is 3

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Two angles in a triangle have measures of 42 and 82 what is the measure of the third angle

skelet666 [1.2K]

Answer:

angles of the triangle are equal 180

so 42+82=124

180-124=56

so the answer is 56

Step-by-step explanation:

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3 years ago

IT'S URGENT PLEASEE What is the slope of a line perpendicular to the line 2y = 3x - 10?

belka [17]

<h3>Answer: perpendicular slope is -2/3</h3>

=================================================

Work Shown:

Solve the given equation for y

2y = 3x - 10

y = (3x-10)/2 ..... divide both sides by 2

y = (3x)/2 - 10/2

y = (3/2)x - 5

The equation is in y = mx+b form with m = 3/2 as the slope.

The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.

Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1

(3/2)*(-2/3) = -1

This is true for any pair of perpendicular lines, assuming neither line is vertical.

5 0

3 years ago

Read 2 more answers

Which of the following is equal to 4 1/2 ÷ 2 2/3 ??? I need help answering this question.

bagirrra123 [75]

Step-by-step explanation:

9/2 ÷ 8/3

= 9/2 × 3/8

= 27/16

= 1 11/16

6 0

3 years ago

Read 2 more answers

The last one need the right answer please

Llana [10]

Answer:

Part 1) The unit rate is $16\frac{dollars}{ounce}$

Part 2) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 3) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 4) The unit rate is $4\frac{dollars}{ounce}$

see the attached figure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{d2-d1}{n2-n1}$

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

Verify each case

1) we have

$d=16n$

This is a proportional relationship between the variables d and n

The slope is

$m=16\frac{dollars}{ounce}$

therefore

The unit rate is $16\frac{dollars}{ounce}$

2) we have

First table

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{4-1}{16-4}$

$m=\frac{3}{12}\frac{dollars}{ounce}$

simplify

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

3) we have

$n=4d$

This is a proportional relationship between the variables d and n

isolate the variable d

$d=\frac{1}{4}n$

The slope is

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

4) we have

Second table

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{8-4}{2-1}$

$m=4\frac{dollars}{ounce}$

therefore

The unit rate is $4\frac{dollars}{ounce}$

5 0

3 years ago

PLS HELP WILL GIVE BRANLIEST

AnnZ [28]

Answer:

she took 13 classes that were worth 3 credits

Step-by-step explanation:

well we know that some of the classes are worth 3 and some are worth 4 and that all of these together = 59 so your first equation would be

3x+4y=59

x would be the number of classes worth 3 credits and y would be the number of classes worth 4 credits.

then it says the total number of classes that they took was 18 so we know that

x + y =18.

you want to solve for the number of 3 credit classes so lets go ahead and get rid of the y values. SO you need you multiply the x+y equation by 4

4x+4y=72

then subtract 4x+4y=72 from 3x+4y=59 to get

-x = -13

and then x is a negative so you need to divide -1 from both sides and you get that she took 13 classes that were worth 3 credits.

3 0

2 years ago