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3 years ago

What is the 50th term in the sequence -3n + 23

Mathematics

1 answer:

kogti [31]3 years ago

5 0

$n=50\\\\-3n+23=\\\\-3\cdot50+23=\\\\-150+23=\\\\-127\\\\50th\ term\ is\ -127.$

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The pair of points 6, Y and 10, -1 light on a line with a slope of 1/4 what is the value of Y

andrezito [222]

$\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{y})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-y}{10-6}=\stackrel{\stackrel{given}{\downarrow }}{\cfrac{1}{4}}\implies \cfrac{-1-y}{4}=\cfrac{1}{4} \\\\\\ 4(-1-y)=4\implies -1-y=\cfrac{4}{4}\implies -1-y=1\implies -2=y$

3 0

4 years ago

74 is a rational number but not a whole number. 74 is a whole number but not a rational number. 74 is a whole number and a ratio

Lady_Fox [76]

Answer:

Option C: 74 is both a whole number and a rational number.

Step-by-step explanation:

A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.

Examples include -1/4, 1/2, 12

So it's obvious that the given number of 74 is a rational number.

Now, a whole number is simply a non - negative integer.

An integer is a number that is not a fraction.

Thus, examples of whole numbers are 0, 1, 2, 3, 4...

So 74 is clearly a whole number.

Therefore, we can conclude that 74 is both a whole number and a rational number.

5 0

3 years ago

Can plz help answer number 4

enot [183]

Answer:

It was 6 7/8 pounds of fruit in the fruit salad.

Step-by-step explanation:

Regina bought in total (in pounds) of fruit: B

$B=3\frac{1}{2}+4\frac{3}{4}\\ B=\frac{3(2)+1}{2}+\frac{4(4)+3}{4}\\ B=\frac{6+1}{2}+\frac{16+3}{4}\\ B=\frac{7}{2}+\frac{19}{4}\\ B=\frac{7}{2}.1+\frac{19}{4}\\ B=\frac{7}{2}.\frac{2}{2}+\frac{19}{4}\\ B=\frac{7(2)}{2(2)}+\frac{19}{4}\\ B=\frac{14}{4}+\frac{19}{4}\\ B=\frac{14+19}{4}\\ B=\frac{33}{4}$

Regina bought in total 33/4 pounds of fruit

She used all (33/4 pounds) but 1 3/8 pounds of the fruit in a fruit salad, then she used in the fruit salad (in pounds): S

$S=B-1\frac{3}{8}\\ S=\frac{33}{4}-\frac{1(8)+3}{8}\\ S=\frac{33}{4}-\frac{8+3}{8}\\ S=\frac{33}{4}-\frac{11}{8}\\ S=\frac{33}{4}.1-\frac{11}{8}\\ S=\frac{33}{4}.\frac{2}{2}-\frac{11}{8}\\ S=\frac{33(2)}{4(2)}-\frac{11}{8}\\ S=\frac{66}{8}-\frac{11}{8}\\ S=\frac{66-11}{8}\\ S=\frac{55}{8}\\ S=\frac{48+7}{8}\\ S=\frac{48}{8}+\frac{7}{8}\\ S=6+\frac{7}{8}\\ S=6\frac{7}{8}$

It was 6 7/8 pounds of fruit in the fruit salad.

7 0

3 years ago

Cassify each triangle by its sides and then by angle

Andrei [34K]

What triangle?

Oh no! Something went wrong while adding your answer
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8 0

3 years ago

Part F How many of the 320 million Americans would you predict wear contact lenses?

Tcecarenko [31]

Answer:

there are 2

Step-by-step explanation: happy to help

4 0

2 years ago