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1 year ago

Show your work 2 1/5 × 3 1/8

Mathematics

1 answer:

vesna_86 [32]1 year ago

4 0

Solution

For this case we can do the following:

$2\cdot\frac{1}{5}=\frac{2\cdot5+1}{5}=\frac{11}{5}$ $3\cdot\frac{1}{8}=\frac{3\cdot8+1}{8}=\frac{25}{8}$

And then if we multiply we got:

$\frac{11}{5}\cdot\frac{25}{8}=\frac{55}{8}$

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A segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.

Furkat [3]

The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)

<h3>What is a line segment?</h3>

A line segment is formed by joining two points by a straight line.

Analysis:

The coordinates of point B(x,y) are gotten by the formula

x = $\frac{px2 + qx1}{p+q}$

y = $\frac{py2 + qy1}{p + q}$

where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B

are the values of the ratio p:q.

x1 = 4, x2 = 1 y1 = 5, y2 = 2, p = 1, q = 3

x = $\frac{(1 x 1) + (3 x 4)}{1 + 3}$ = 3.25

y = $\frac{(1 x 5) + ( 3 x 2)}{1+3}$ = 2.75

coordinates of B are ( 3.25, 2.75)

In conclusion, the coordinates of point B are (3.25, 2.75)

Learn more about line segment : brainly.com/question/2437195

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4 0

2 years ago

Hector works 12 hours per week at a part-time

iren [92.7K]

Answer:

b. $2.50

Step-by-step explanation:

Let us take a step by step approach by simplifying each sentence:

Sentence 1: Hector works 12 hours per week at a part-time hours per week at a part-time job

Number of hours worked per week = 12hours

Sentence 2: His original pay rate was $8.00 per hour. but he recently received a raise of x dollars per hour

Pay per hour is 8hr, a raise of x gives 8 + x

Sentence 3: New total wage = 12(8+x)

Sentence 4: Amount earned last week = $126

New total wage = Amount earned last week

12(8 + x ) = 126

96 + 12x = 126

12x = 126 - 96

12x = 30

x = $2.50

Amount of raise is $2.50

8 0

3 years ago

Is it true that the 6 in 26.495 is 10 times the value of the 6 in 17.64

Andreyy89

Yes because if you multiply 0.6 by 10, it would equal 6. So yes, the 6 in 26.495 IS 10 times the value of the 6 in 17.64.

8 0

3 years ago

Read 2 more answers

WILL MARK BRAINLYEST<br> ❤️❤️❤️❤️❤️❤️

Valentin [98]

Answer:

$108.19

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3.6%/100 = 0.036 per year.

Solving our equation:

P = 119.88 / ( 1 + (0.036 × 3)) = 108.19494584838

P = $108.19

The principal investment required to get a total amount, principal plus interest, of $119.88 from simple interest at a rate of 3.6% per year for 3 years is $108.19.

Hope this helps!

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3 years ago

Find AC, round to the nearest whole number

xxMikexx [17]

Triangles are 180 total so just add 118 and 22 then subtract it from 180 for your answer

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3 years ago