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Lana71 [14]
3 years ago
15

Mary is 5 years older than bob. If the sum of their ages is 39 write and solve an equation to find ages. Please help me with a c

omplete sentence and your solutions please. Please explain how you got your answer and show your work. Thank you very much because i really need this . Please just dont do it for the points
Mathematics
2 answers:
Irina-Kira [14]3 years ago
6 0
Mary is 5 years older than Bob.
Mary is 22 and Bob is 17.

When you subtract 22 - 17, you will get 5. Mary and Bob are 5 years apart.

When you add 22 + 17, you'll get 39, which is the sum of their age.

The equation would be:
m + b = 39
M standing for Mary, B standing for Bob.

22+17= 39 would be the full equation.

M= 22
B= 17.

Sorry if this is confusing and doesn't help you that much, but I really hope it helped! :-)
nikdorinn [45]3 years ago
4 0
5x=39 x stands for the age of bob so 39/5 =7.8 which is rounded up to 8 and if you multiply 8 by 5 you get 40 but if you multiply 7.8 by 5 you get 39 so his age would be 7.8 years old.
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Therefore the other two missing sides equal a.

Therefore, the other two sides equal 8.

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Answer:

x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}

Second equation:

\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}

Third equation:

\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}

Now we use this value for "x" back in equation 1 to solve for "y":

1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}

And finally we solve for the third unknown "z":

\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12

8 0
2 years ago
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alex41 [277]

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function 'f' in the interval x = a and x = b is given by,

Average rate of change of change = \frac{f(b)-f(a)}{b-a}

Given function is,

g(x) = \frac{5}{x-1}+2

We have to calculate the rate of change in the interval [-4, 3],

Average rate of change = \frac{g(3)-g(-4)}{3-(-4)}

g(3) = \frac{5}{3-1}+1

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g(-4) = \frac{5}{-4-1}+1

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Average rate of change = \frac{3.5-0}{3+4}

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Therefore, Option B will be the answer.

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3 years ago
What is (1. 6x 7. 3) (–0. 6x 2) – (7. 8 – 3. 4x), simplified? (1. 6x 7. 3) (–0. 6x 2) – (7. 8 – 3. 4x) 1. 6x 7. 3 – 0. 6x 2 – 7.
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The simplified form of the equation is 4.4x + 1.5.

Given

Equation; (1.6x + 7.3) + (–0.6x + 2) – (7.8 – 3.4x)

<h3>Addition</h3>

The addition is the process of adding things together.

To simplify the equation follow all the steps given below.

First, open the brackets combine like terms, and simplify.

Then,

The equation in simplified form is;

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Hence, the simplified form of the equation is 4.4x + 1.5.

To know more about addition click the link given below.

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2 years ago
Which expression matches this statement? Divide a number n by 9 and subtract 6 from the result.
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Answer:

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Step-by-step explanation:

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