25/75 what is the lowest term number that goes into this fraction

In her piggy bank, caitlin has 5.24 dollars the sum is made up of an equal number of four coins from 1 cent, 5 cents, 10 cents,

Ludmilka [50]

Answer:

1c, 5c, 25c and 1 dollar

Step-by-step explanation:

With 4 coins of 1c : 4 cents

4 coins of 5c: 20 cents

4 coins of 25c: 1 dollar

4 coins of 1 dollar: 4 dollars

So, 4c + 20c + 1 dollar + 4 dollars = 5.24 dollars

3 0

3 years ago

Length of the median CP

ehidna [41]

Given:

ΔABC $\sim$ ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}$

$$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}$

Do cross multiplication.

$$\Rightarrow 12(2x+8)=16(3x-12)$

$$\Rightarrow 24x+96=48x-192$

Add 192 on both sides.

$$\Rightarrow 24x+96+192=48x-192+192$

$$\Rightarrow 24x+288=48x$

Subtract 24x from both sides.

$$\Rightarrow 24x+288- 24x=48x- 24x$

$$\Rightarrow 288=24x$

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

= 36 - 12

= 24

The length of median CP is 24.

7 0

3 years ago

What’s the answer ?

Misha Larkins [42]

Answer:

3 one ofx+2 And 4th one x4

6 0

3 years ago

Given the system of linear equations.

Karo-lina-s [1.5K]

Part A:

x + y = 9

4x + y = 6

To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.

x + y = 9

x = 9 - y

Substitute this expression (9 - y) into the second equation for x and solve.

4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10

To find x, substitute 10 for y into either of the original equations.

x + y = 9

x + 10 = 9

x = -1

Finally, check all work by substituting the x- and y-values into each original equation.

x + y = 9 --> -1 + 10 = 9 --> 9 = 9 --> True

4x + y = 6 --> 4(-1) + 10 = 6 --> -4 + 10 = 6 --> 6 = 6 --> True

The answer for Part A is x = -1 and y = 10; (-1, 10).

Part B:

For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.

x + y = 9

y = 9 - x

y = -x + 9

4x + y = 6

y = 6 - 4x

y = -4x + 6

Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.

Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.

Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)

The lines do indeed intersect at (-1, 10); our answer is verified by graphing.