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3 years ago

Malachy was thinking of a number. Malachy halves the number and gets an answer of 67.3.

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

4 0

Step-by-step explanation:

Let the number be x.

ATQ,

Malachy halves the number and gets an answer of 67.3.

$\dfrac{x}{2}=67.3$

This the equation for the given statement.

It can also be written as :

$x=2\times 67.3\\\\x=134.6$

Hence, this is the required solution.

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A boat traveled 225 miles each way downstream and back. The trip downstream took 9 hours. The trip back took 15 hours. What is t

Karolina [17]

Answer:

Boat = 20 mph

Current = 5 mph

Step-by-step explanation:

If b is the speed of the boat, and c is the speed of the current, then:

b + c = 225 / 9 = 25

b − c = 225 / 15 = 15

Solve the system of equations with elimination.

2b = 40

b = 20

Plug back into either equation to find the speed of the current.

c = 5

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3 years ago

Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as

stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

$a=7\ cm\\c=13\ cm$

substitute

$13^{2}=7^{2}+b^{2}$

Solve for b

$169=49+b^{2}$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

we have that

Jayden's Work

$a^{2}+b^{2}=c^{2}$

$a=7\ cm\\b=13\ cm$

substitute and solve for c

$7^{2}+13^{2}=c^{2}$

$49+169=c^{2}$

$218=c^{2}$

$c=\sqrt{218}\ cm$

$c=14.76\ cm$

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

Sheridan's Work

$a^{2}+b^{2}=c^{2}$

$a=7\ cm\\c=13\ cm$

substitute

$7^{2}+b^{2}=13^{2}$

Solve for b

$49+b^{2}=169$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

therefore

Sheridan's Work is correct

6 0

3 years ago

Read 2 more answers

Can anyone help me with this problem? It's a review.

kifflom [539]

Answer:

The point (0,-2) is the solution to the problem. Substitue 0 into x, the answer is -2 which matches f(x), or y value.

Step-by-step explanation:

8 0

3 years ago

Solve the system of linear equations by graphing. Y = 3.2 y - 4= 32

mihalych1998 [28]

Answer:

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Step-by-step explanation:

4 0

3 years ago

The sum of three consecutive odd numbers is 93. What is the smallest of three numbers ?

Julli [10]

Answer:

Step-by-step explanation: it doesn't matter if it says even or odd it's the same formula

Because think if you start with 1 to get 3 you add 2

If you start with 2 to get the next even number you add 2

So it's X+ (X+2)+ (X+4)=93

X is the first # X+2 is the next # X+4 is the 3rd number if you want to check add the numbers to make sure they add up to 93

The smallest of course is X

4 0

3 years ago