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lbvjy [14]
3 years ago
15

ericas mother saved her quarters and dimes .she counted 48 coins with a value of $7.50.how many quarters and dimes were there?

Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0
28 Quarters and 5 dimes
julsineya [31]3 years ago
6 0
There are 28 Quarters, and 5 dimes!
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For what values of <img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formul
11Alexandr11 [23.1K]

Answer:

x1

Step-by-step explanation:

We have:

(x+5)(x-1)

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

(x+5)(x-1)>0

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

(x+5)(x-1)=0

Zero Product Property:

x+5=0\text{ or } x-1=0

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

x=-5, 1

Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.

So, our solution is:

x1

And we're done!

7 0
3 years ago
Read 2 more answers
Drag the tiles to the boxes to form correct pairs.
FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0
3 years ago
Is due today Help!!! Algebra ll
guapka [62]

-7x-9y=-8

5x+6y=4

-35x-45y=-40

35x+42y=28

-3y=-12

y=4

5x+6(4)=4

5x+24=4

5x=-20

x=-4

(-4,4)

Hope this helps.

頑張って!

7 0
3 years ago
Evaluate if x=4<br> 3x+1<br><br> A)2<br> B)3<br> C)11/4<br> D)13/4
mariarad [96]

Step-by-step explanation:

Given

If x = 4 Then

3x + 1 = 3 * 4 +1 = 12 + 1 = 13

The answer should be 13.

4 0
3 years ago
An advertising company is designing a new logo that consists of a shaded triangle inside a parallelogram.What is the area, in sq
tatyana61 [14]
<h2>Explanation:</h2><h2 />

The complete question is shown in the figure below. As you can see one square units is well shown in the graph. So we can conclude that the distance between two consecutive points is 1 unit. If so, then we can calculate the area of the parallelogram as follows:

A=b\times h \\ \\ A:Area \\ \\ b:Base \\ \\ h:Height \\ \\ \\ CB=b \\ \\ AB=h

Then, finding CB by Pythagorean Theorem:

CB=\sqrt{6^2+4^2} \\ \\ CB=2\sqrt{13}

And:

AB=4

Therefore:

A=(2\sqrt{13})(4) \\ \\ \boxed{A=8\sqrt{13} \ units^2}

6 0
3 years ago
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