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3 years ago

16) Which fraction is 36 84 written in lowest terms? A) 3 8 B) 3 7 C) 6 13 D) 6 14

Mathematics

1 answer:

Natali [406]3 years ago

6 0

Answer:

Step-by-step explanation:

to simplify a fraction, divide numerator/ denominator by the largest common factor, often called cancelling

the largest common factor of 36 and 84 is 12

$\frac{36}{84}$ = $\frac{3}{7}$ ← in simplest form

A fraction is in simplest form ( lowest terms ) when no factor but 1 divides into the numerator/ denominator.

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John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the numbet

ahrayia [7]

So, you have to have your equation in terms of dimes. What you said about what he has: four more nickels than dimes in his pocket. Will help with our equation.
We know what a nickel and dime is worth. A nickel is .05 and a dime is .1
We don't know how many dimes are in his pocket, since we're trying to solve it.
.1x+(4+x).05=1.25;
In the parenthesis, it shows how there are four more nickels. Let's solve it now.
.1x + (4+x).05=1.25
.1x + .2+ .05x = 1.25; Let's add like terms.
.15x + .2 = 1.25; Subtract .2 from both sides.
.15x= 1.05
1.05÷.15= 7 =x
There are 7 dimes in his pocket, let's check our answer.
We now know there are 11 nickels, since there are four more nickels than dimes.
11(.05) +.1(7) = 1.25
.55+ .7 = 1.25
Now that we've tried it, we know there are 7 dimes in his pocket.
Tell me if this helps!

7 0

3 years ago

Harold’s farm is 134 acres. Merle’s farm is 100 acres. How many more acres does Harold own than Merle

sleet_krkn [62]

Answer:

Step-by-step explanation:

134-100

3 0

3 years ago

Read 2 more answers

What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0

3 years ago

At the city museum, child admission is

Irina18 [472]

You have to multiply ......... and use 186 and divide. i think.

5 0

3 years ago

4x + 11 = 15 what is an equivalent equation for each given equation

slavikrds [6]

I can solve it?

take away 11 from both sides to make..
4x = 4
simplified (4 ÷ 4) to make x=1

3 0

3 years ago

Read 2 more answers