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4 years ago

Alma is 6 3/4 years old,while her brother david is 3 5/6 years old.What is the sum of the ages of alma and david?

Mathematics

1 answer:

valina [46]4 years ago

7 0

Answer:

127/12 = 10 7/12

Step-by-step explanation:

convert mixed fractions into improper fractions

6¾ =[(6×4)+3]/4 = 27/4

3 5/6 = [(6×3)+5]/6 =23/6

sum up the fractions

we get

(27/4)+(23/6)

= (81+46)/12. LCM is 12

= 127/12

divide 127 with 12

the remainder is 7, quotient is 10 and the

divisor is 12

we get the mixed fraction

10 7/12

You might be interested in

A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number.

pogonyaev

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the smaller number

y ----> the larger number

we know that

A larger number is 2 more than 4 times a smaller number

<u><em>Identify the key words</em></u>

is (=)---> equal

more (+) ---> addition

times (*) ---> multiplication

That means

The larger number y is equal to multiply the smaller number x by 4 and then adds 2

$y=4x+2$ ----> equation A

The larger number is also 8 more than 2 times the smaller number

<u><em>Identify the key words</em></u>

is (=)---> equal

more (+) ---> addition

times (*) ---> multiplication

That means

The larger number y is equal to multiply the smaller number x by 2 and then adds 8

$y=2x+8$ ----> equation B

Solve the system of equations by substitution

equate equation A and equation B

$4x+2=2x+8$

$4x-2x=8-2\\2x=6\\x=3$

Find the value of y

substitute the value of x in equation A or equation B

$y=4(3)+2=14$

therefore

The smaller number is 3 and the larger number is 14

5 0

3 years ago

Read 2 more answers

Which expression can go in the blank to make the equation true? 60 – 31.2 + ? = 0 a. 60 – 31.2 b. -60 + (-31.2) c. 31.2 - 60 d.

Ne4ueva [31]

Answer:

Step-by-step explanation:

Given that

60 – 31.2 + ? = 0

$\Rightarrow ?=31.2-60$

This is the same as the expression in option (c) 31.2-60.

Hence, option (c) is correct.

6 0

3 years ago

Evaluate the expression 4x/2x for x=3

gayaneshka [121]

Hey there!

If $\bold{x=3}$ then your equation becomes $\downarrow$

$\bold{\frac{4(3)}{2(3)}}$

$\bold{4\times3=12}$
$\bold{2\times3=6\\}$
Your equation should becomes: $\bold{\frac{12}{6}=2}$
$\boxed{\boxed{\bold{Answer:2}}}$

Good luck on your assignment and enjoy your day

~ $\bold{LoveYourselfFirst:)}$

5 0

3 years ago

find an equation in the form y=ax^2+bx+c for the parabola passing through the points. (2,28),(4,116),(-3,88)

IgorC [24]

<h3>Answer:</h3>

y = 8x² -4x +4

<h3>Explanation:</h3>

I find it quick and easy to let a graphing calculator do quadratic regression on the given points. It gives the coefficients of the equation directly. (See attached.)

_____

If you want to do this "by hand," you can substitute each of the x and y value pairs into the equation to get three linear equations in a, b, and c. These are generally easy to solve, as the "c" variable can be eliminated right away.

... 28 = a·2² +b·2 +c = 4a +2b +c

... 116 = a·4² +4b +c = 16a +4b +c

... 88 = a·(-3)² +b·(-3) +c = 9a -3b +c

Subtracting the first and third equations from the second, we have ...

... (16a +4b +c) -(4a +2b +c) = (116) -(28) ⇒ 12a +2b = 88

... (16a +4b +c) -(9a -3b +c) = (116) -(88) ⇒ 7a +7b = 28

Dividing the first of these reduced equations by 2, and the second by 7, we have ...

6a +b = 44
a +b = 4

Subtracting the second of these from the first gives ...

... (6a +b) -(a +b) = (44) -(4) ⇒ 5a = 40

From which we find

... a = 8

... b = 4 -a = 4 -8 = -4

We choose the first of the original equations to find c:

... c = 28 -4a -2b = 28 -4·8 -2(-4)

... = 28 -32 +8 = 4

With (a, b, c) = (8, -4, 4), the equation of the parabola is ...

... y = 8x² -4x +4

5 0

4 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify ( 6 x − 2 ) 2 ( 0 .

den301095 [7]

Answer:

$\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}$

Step-by-step explanation:

We want to simplify:

$(6x-2)^2(0.5x)^4$

We expand to get:

$(36x^2-24x+4)*\frac{x^4}{16}$

We expand further to get:

$\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}$

8 0

3 years ago