The Second Statement is the ____ of the first.

Answer: x= -1/2 y=3/4

Step-by-step explanation:

Answer:

x = -4y + 5/2

Step-by-step explanation:

step 1: 2x +8y + -8y = 5 + -8y

2x = -8y+ 5

step 2: divide both sides by 2

2x /2 = -8y+5/2

x= -4 + 5/2

Answer:

The last answer choice is the correct answer

Step-by-step explanation:

im hoping this helped, if not im sorry.

Answer:

325 adults

Step-by-step explanation:

x=#adults

y=#children

x+y=937

2x+0.75y=1109

2x+2y=1874

-2x-0.75y=1109

1.25y=765

y=612

x=937-612

x=325

Answer:

Length of DE is 25.

Step-by-step explanation:

Right, so this is something called midsegment theorem. ΔDBE is similar (but not congruent) to ΔABC because of the angles they share. Since DE is described as a midsegment, this means BE=EC and BD=DA; so ΔDBE is half the size of ΔABC, meaning its side lengths are also half that of the larger triangle.

(Sorry if this information was unnecessary. Just got an answer deleted because I wasn't detailed enough.)

Answer:

6. composite figure

7. 60+432=492

This is a [tex]90^\circ[/tex] sector of a circle of radius 8, or one-fourth of the circle, so the area is [tex]\frac{\pi(8)^2}{4}=\boxed{16\pi}.[/tex]

Answer: 50.2656

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Use sine rule

17/sin130=5/sinB

(5×sin130)÷17=sinB

sinB=0.2253017892

B=sin^-1ans above

=13.4

A=(130+13) subtracted from 180=37°

a/sin37=17/sin130

=13.4

Answer:

smaller r = ( 6.5 , 0)

larger r = ( 21.5 , 0)

vertex = ( 14, -56.25)

Step-by-step explanation:

f(r) = (r -14)² -56.25 square (r-14)

f(r) = r² -28r +196 -56.25 simplify

f(r) =  r² -28r + 139.75

use quadratic formula

x=−b±√(b²−4ac)/ 2a

a = 1, b =-28, c = 139.75

x=−(−28)±√(−28)2−4(1)(139.75)2(1)

x=(28±√225)/2

x=43/2 or x=13/2

or 21.5 and 6.5

This parabola is given in vertex form f (r) = a(r - h)² + k, where (h, k) is the vertex of the parabola so just write the given numbers ( 14, -56.25)

Answer:

bisects, equal, midpoint

Step-by-step explanation:

According to the "Angle Bisector" Theorem, an angle bisector of a triangle divides the opposite side into segments proportional to the lengths of the other two sides of the triangle.

If a ray bisects an angle of a triangle, it divides the opposite side into segments proportional to the lengths of the other two sides. An angle bisector divides an angle into two equal halves. A perpendicular bisector is the line perpendicular to a segment passing through the segment’s midpoint.

Answer:

penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis

Answer:

300%

Step-by-step explanation:

Let the length of the carpet be L.

Let the width of the carpet be W.

The original area of the carpet is:

A = L * W = LW

The length and width are enlarged by 60%.

The new length is:

L + (L * 60/100) = L + 0.6L = 1.6L

The new width is:

W + (W * 60/100) = W + 0.6W = 1.6W

The length and width are then reduced by 25%.

The new length is:

1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L

The new width is:

1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W

The new area will be:

A = 2L * 2W = 4LW

To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:

4LW - LW = 3LW

% increase is:

[tex]\frac{3LW}{LW} * 100[/tex] = 300%

The area of the final item is 300% greater than the original item.

Answer:

44%

Step-by-step explanation:

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Answer:

0.42

Step-by-step explanation:

The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%.

The expression of the markdown using a decimal can be represented below.

Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal.  Or you can just divide the percentage value by 100.

In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

[tex]cost_1(x) = 0.5*x[/tex]

For the second option we have:

[tex]cost_2(x) = 5000 + 0.1*x[/tex]

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

[tex]cost_1(60000) = 0.5*60000 = 30000[/tex]

[tex]cost_2(60000) = 5000 + 60000*0.1 = 11000[/tex]

The second option will cost her less than the first one.

Answer:

A, C and E.  

Step-by-step explanation:

[tex]70 \% \times 80[/tex]

[tex]70/100 \times 80[/tex]

[tex]560/10[/tex]

[tex]=56[/tex]

[tex]0.7 \times 80[/tex]

[tex]=56[/tex]

[tex]7/10 \times 80[/tex]

[tex]=56[/tex]

Answer:

Step-by-step explanation:

Let sharma age be S and Ankit age be A

S = 3a

(s-10) = 5(a-10)

substitute 1 in 2

3a-10 = 5a -50

40 = 2a

a = 20

s = 3 * 20 = 60

Answer:

The answer is 100% B

Step-by-step explanation:

The graph of the polynomial rational function is f ( x ) = x / ( x + 2 ) ( x - 5 )

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the polynomial function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x / ( x + 2 ) ( x - 5 )

The rational function is of the form P ( x ) / Q ( x ) , where Q ( x ) ≠ 0

So , the value of P ( x ) = x

And , the value of Q ( x ) = ( x + 2 ) ( x - 5 )

Therefore , the graph of the rational function is plotted

Hence , the graph of the polynomial is f ( x ) = x / ( x + 2 ) ( x - 5 )

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Answer:

Step-by-step explanation:

The graph of f(x) = + (4) is the same as that of g(x) = 4; it's a constant function defined for all x values but its range is just one number:  4.

Answer:

C y=800(1.15)^12

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

<1=<8 -->alt exterior angles

<4=<1 --> vertical angles

= <1=<4=<8(128)

256

Answer:

D. [tex] \frac{4 \sqrt{33} }{33} [/tex]

Step-by-step explanation:

[tex] \tan \alpha = \frac{4}{ \sqrt{33} } \\ = \frac{4}{ \sqrt{33} } \times \frac{ \sqrt{33} }{ \sqrt{33} } \\ \\ = \frac{4 \sqrt{33} }{ {( \sqrt{33)} }^{2} } \\ \\ \tan \alpha = \frac{4 \sqrt{33} }{33} [/tex]

Answer:

[tex]1538.6mm^{3}[/tex]

Step-by-step explanation:

[tex]V=\pi r^{2} h[/tex]

[tex]V=3.14*7^{2} *10[/tex]

[tex]V=31.4*49=1538.6[/tex]

Answer:

[tex]x=-1/2[/tex]

Step-by-step explanation:

[tex]4^x=1/2[/tex]

Make the bases 2 on both sides of the equation.

[tex]2^{2^x}=2^{-1}[/tex]

Multiply the exponents.

[tex]2^{2x}=2^{-1}[/tex]

Cancel the bases.

[tex]2x=-1[/tex]

Divide 2 into both sides of the equation.

[tex]x=-1/2[/tex]

Answer:

x = -3        x=2

Step-by-step explanation:

x^2 + x - 6 = 0

Factor

What two numbers multiply to -6 and add to 1

3*-2 =-6

3+-2 =1

(x+3) (x-2) = 0

Using the zero product property

x+3 = 0   x-2 = 0

x = -3        x=2

Answer:

Range could be 205000 to 214999. Any number in this range, when rounded to two signnificant digits will yield 210000.

The answer to the question what is the value of this expression when a = 7 and b = -4? | 2a | - b/3 it is D.) 6

The value of this expression (|2a| - b)/3 when a = 7 and b = -4 is 6. So, option D is correct.

The absolute value of a number or variable is returned by a modulus function. It is defined as

|x| = x, x > 0

= -x, x < 0

= 0, x = 0

The given expression is (|2a| - b)/3. Here, we have to put a = 7 and b = -4 to get the value.

Now, (|2a| - b)/3 = (|2×7| - (-4))/3 = (|14| + 4)/3 = (14 + 4)/3 [Since 14 is a positive integer]

i.e. (|2a| - b)/3 = 18/3 = 6

Therefore, the value of this expression (|2a| - b)/3 when a = 7 and b = -4 is 6. So, option D is correct.

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Answer:

m = 4

Step-by-step explanation:

m−10+6m=10+2m

7m-10=10+2m

Subtract 2m from both sides

5m-10=10

Add 10 to both sides

5m=20

Divide both sides by 5

m=4

Answer:

m=4

Step-by-step explanation:

m − 10 + 6m = 10 + 2m

7m - 10 = 10 + 2m   (subtract 2m from both sides)

7m - 10 - 2m = 10

5m - 10 = 10   (add 10 to both sides)

5m = 10 + 10

5m = 20  (divide both sides by 5)

m = 20/5

m = 4

Answer:

0.966053748

Step-by-step explanation:

[tex] \sin \bigg( \frac{5\pi}{12} \bigg) \\ = \sin \bigg( \frac{5 \times 180 \degree}{12} \bigg) \\ = \sin ( 5 \times 15 \degree) \\ = \sin ( 75 \degree) \\ = \sin ( 45 \degree + 30 \degree) \\ = \sin 45 \degree \times \cos 30 \degree + \cos 45 \degree \times \sin 30 \degree \\ \\ = \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} + \frac{1}{ \sqrt{2} } \times \frac{1}{2} \\ \\ = \frac{ \sqrt{3} }{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} } \\ \\ = \frac{ \sqrt{3} + 1}{2 \sqrt{2} } \\ \\ = \frac{1.732 + 1}{2 \times 1.414} \\ \\ = \frac{2.732}{2.828} \\ \\ = 0.966053748[/tex]

Answer:

Option (B)

Step-by-step explanation:

If A = [tex]\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}[/tex] and B = [tex]\begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}[/tex]

Multiplication of these matrices,

A.B = [tex]\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}\times \begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}[/tex]

      = [tex]\begin{bmatrix}(1(-2)+3(3) & 1(1)+3(4)\\ (-2)(-2)+5(3) & 1(-2)+5(4)\end{bmatrix}[/tex]

      = [tex]\begin{bmatrix}7 & 13\\ 19 & 18\end{bmatrix}[/tex]

Therefore, Option (B) will be the answer.