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emmasim [6.3K]
3 years ago
12

How many solutions does the equation have?

Mathematics
2 answers:
timurjin [86]3 years ago
7 0
4(2x+3)=2(3x-4)\\
8x+12=6x-8\\
2x=-20\\
x=-10 \Rightarrow A
creativ13 [48]3 years ago
6 0
A. One Solution.
If you distribute the 4 and 2 you're left with
8x+12=6x-8
+8 to both sides
8x+20=6x
-8x both sides
20=-2x
Divide by -2
X=-10
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Knitting: You are knitting a blanket. You want the area of the blanket to be 24ft^2. You want the length of the blanket to be 2
andriy [413]
You can use factors to solve.  Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!


Algebraic way to solve using Quadratics:
l = 2 + w

A = lw

A = (2 + w)w  Substitute (2 + w) for l

24 = (2 + w)w  Substitute 24 in for the area

24 = 2w + w^2  Distribute

w^2 + 2w - 24 = 0  Set equal to 0 (put in standard form)

(w + 6) (w - 4) = 0  Factor

w + 6 = 0  and w - 4 = 0    Set each factor equal to 0.

So w= -6 or w = 4 ... -6 makes no sense for a length!  So the width must be 4 and the length will be 4 + 2, which is 6.

5 0
4 years ago
How to know how to do percent of change
IgorC [24]
Work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number then this is a percentage decrease.
4 0
3 years ago
Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.
disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\

So the perimeter is:

Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units

Using hero's formula,

s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units

Rounding off will give us 30 square units ..

4 0
4 years ago
HELP ME PLEASE
GrogVix [38]
     Male 0.271 0.198
Female 0.229  0.302

I think that's right because that's what my quiz said

7 0
3 years ago
Read 2 more answers
Which of the following values of r will result in a true statement when substituted into the given equation? -r + 5(r + 2) = -10
kramer

Answer:

Choice B is correct.

Explanation:

The given equation is -r+5(r+2)=-10

Put r=-5 into the above equation

-(-5)+5(-5+2)=-10

5+5(-3)=-10

5-15=-10

-10=-10

Right and left side of above equation is equal by putting r=-5 so it is true statement.

6 0
3 years ago
Read 2 more answers
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