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3 years ago

Tom is trying to write 2 3/47 as a decimal

Mathematics

1 answer:

exis [7]3 years ago

5 0

It's about 2.064 if you make the number an improper fraction then divide

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Which table shows a proportional relationship between x and y?

Semenov [28]

Answer:

Step-by-step explanation:

A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

Table A

$\frac{12}{3} \neq \frac{15}{6} \neq \frac{18}{8} \neq \frac{20}{10}$

These fractions are not equal. This is not proportional.

Table B

$\frac{0.5}{1}=\frac{1}{2} =\frac{3.5}{7} =\frac{4}{8}$

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.

Table C

$\frac{1}{3}\neq \frac{2.5}{7.5} \neq \frac{4}{15} \neq \frac{6}{20}$

These fractions are not equal. This is not proportional.

Table D

$\frac{7}{2} \neq \frac{9}{3}\neq \frac{11}{4} \neq \frac{13}{5}$

These fractions are not equal. This is not proportional.

3 0

3 years ago

A rectangle has an area of 189 m2 and the length of 21m. What is it’s width?

makvit [3.9K]

Answer:

9 meters

Step-by-step explanation:

189 divided by 21 is 9 (:

7 0

3 years ago

Read 2 more answers

Solve for the unknown in the following diagram. Round the answer to two decimal places. in

Alexxandr [17]

Answer:

172.27 in

Step-by-step explanation:

Apply the Sine Rule

Sine Rule is given as:

$\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}$

c = x = ?

C = 180 - (52 + 48) = 80° (sum of triangle)

b = 130 in.

B = 48°

Plug in the values

$\frac{130}{sin(48)} = \frac{x}{sin(80)}$

Multiply both sides by sin(80)

$\frac{130*sin(80)}{sin(48)} = x$

172.274641 = x

x = 172.27 in. (to 2 decimal places)

4 0

3 years ago

Solve log 2x + log 5 = 1. Round to the nearest thousandth if necessary.

Aloiza [94]

I think that 0.015 is the answer?

4 0

4 years ago

: Logan is driving a boat that has a speed of 18 mph in standing water (no current). She drives the boat up and down a river to

nadya68 [22]

Answer: the speed of the current is 6 mph

Step-by-step explanation:

Let x represent the speed of the current.

Logan is driving a boat that has a speed of 18 mph in standing water.

Assuming the current slowed down the boat while she was going up(upstream), it means that his total speed was (18 - x) mph

Also, if the current helped the boat while she was going down(downstream), it means that his total speed was (18 + x) mph

Time = distance/speed

The boat travels 4 miles each way. The time taken to travel upstream is

4/(18 - x)

Time taken to travel downstream is

4/(18 + x)

The round trip took 0.5 hour. It means that

4/(18 - x) + 4/(18 + x) = 0.5

Multiplying through by (18 - x)(18 + x), it becomes

4/(18 - x) + 4/(18 + x) = 0.5(18 - x)(18 + x)

4(18 + x) + 4(18 - x) = 0.5(18 - x)(18 + x)

72 + 4x + 72 - 4x = 0.5(324 + 18x -

18x - x²)

144 = 0.5(324 - x²)

144 = 162 - 0.5x²

0.5x² = 162 - 144

0.5x² = 18

x² = 18/0.5 = 36

x = √36

x = 6

8 0

3 years ago