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Elden [556K]
3 years ago
7

Andrew jogs 25 5/6 kilometers a week. Yen jogs 13 3/4 kilometers a week. What is the total distance they jog in a week?

Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer: 39 7/12km

Step-by-step explanation:

From the question, we are informed that Andrew jogs 25 5/6 kilometers a week while Yen jogs 13 3/4 kilometers a week.

The total distance they jog in a week will be the addition of the distance that each person jogged. This will be:

= 25 5/6 + 13 3/4

= 25 10/12 + 13 9/12

= 38 19/12

= 38 + 1 7/12

= 39 7/12

The total Distance covered by both of them is 39 7/12 kilometers

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Answer:

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Step-by-step explanation:

8 0
3 years ago
A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles. HINT [See Example 7.
kirill115 [55]

Answer:

There are 12 sets of four marbles include all the red ones.    

Step-by-step explanation:

Given : A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles.

To find : How many sets of four marbles include all the red ones?

Solution :

Number of red marbles = 3

Number of green marbles = 2

Number of lavender marbles = 1

Number of yellow marbles = 4

Number of orange marbles = 5

We have to form sets of four marbles include all the red ones,

For position of getting red ones we have three red marbles i.e. ^3C_3

For the fourth one we have 12 choices i.e. ^{12}C_1

Total sets of four marbles include all the red ones is

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=1\times 12

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5 0
3 years ago
The sum of two numbers is 75. The second number is 3 less than twice the first
Mandarinka [93]

Answer:

\large{\textbf{The two numbers are: 26 and 49}.\\}

Step-by-step explanation:

\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y =  75  \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$  \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} &  \implies x + 2x - 3 = 75  \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }

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3 years ago
You know that 12x=60, and that x=5. Which property of equality would you use to conclude that 12•5=60?
alexandr402 [8]

ANSWER

The substitution property of equality.

EXPLANATION

We know that:

12x = 60

and that

x = 5

Since x=5 or 5=x , we can substitute x for 5 wherever we see x in the given equation.

When we do that, we obtain;

12 \bullet \: 5 = 60

This is what we refer to as the substitution property of equality.

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