am • an = am + n, where a is a real number and m and n are integers

Use the product of powers property to simplify the expression –2x3y4x2y3.

–2(xy)12

–2(xy)72

–2x6y12

–2x5y7

Answer:

1 rose cost $1.5

1 carnation cost $0.5

Step-by-step explanation:

Let the price for one rose be r, price for one daisies be d and the price for one carnation be c

For Ben;

5r + 8d + 2c = 14.5

For Alex

3r + 12d + c = 14

For Joe

10r + d + 3c = 17.25

From equation iii;

d = 17.25- 10r - 3c

Insert this into the first two equations;

5r + 8(17.25-10r-3c) + 2c = 14.5

5r + 138 - 80r -24c + 2c = 14.5

-75r -22c = -123.5

Thus;

75r + 22c = 123.5

Insert the formula for d in the second equation;

3r + 12(17.25-10r-3c) + c = 14

3r + 207 - 120r -36c + c = 14

-117r-35c = 14-207

117r + 35c = 193

So we have two equations to solve simultaneously;

75r + 22c = 123.5

117r + 35c = 193

Multiply first equation by 35 and second by 22

2625r + 770c = 4322.5

2574r + 780c = 4246

Subtract second from first

51r = 76.5

r = 76.5/51

r = 1.5

Insert this in the equation below;

75r + 22c = 123.5

75(1.5) + 22c = 123.5

112.5 + 22c = 123.5

22c = 123.5-112.5

22c = 11

c = 11/22

c = 0.5

Answer:

20 feet long

Step-by-step explanation:

To solve this you need to use the Pythagorean theorum, [tex]a^2+b^2=c^2[/tex], where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.

So, the equation is

[tex]12^2+16^2=c^2[/tex]

Which is then

[tex]144+256=c^2[/tex]

[tex]c^2=400[/tex]

And the possible values of c are 20 and -20.

From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.

Answer:

20 feet

Step-by-step explanation:

Use Pythagoras's theorem.

[tex]A^{2}+B^{2} =C^{2} \\12^{2} +16^{2}= C^{2} \\400 = C^{2} \\\sqrt{400}= \sqrt{C^{2}\\\\[/tex]

20 = C

Answer:

y=x-2

a. 3=x-2

b. this isn't wrong??

c. 3=x-2

d. add 2 to both side so taht x is on its own so 5=x

e. yes

Answer:

C and E

Step-by-step explanation:

Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.

B is not right because you can replace either y or x

D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.

Hope this helped :)

Answer: too Using the triangle pictured, find the measure of angle A. Round your answer to the nearest tenth.

.205 yep

Answer:

Step-by-step explanation:

1.

The x's and y's will shift to the right and upward. This will make the shape larger because we are multiplying each point (x, y) by 2 [2(x, y)]. The new shape is similar since it is practically the same exact figure with a different scale. Furthermore, the angle measurements are congruent.

2. This will shift the x's and the y's upward and to the right making the shape larger although the shape will be stretched and will not be similar in terms of angle measures and other factors.

3. This will make the figure larger although the angle measurements will not be preserved and a new shape will form. This will not be similar from the original one since it will be stretched and the angles measurements are not congruent..

Answer:

The answer is that they intersect at the right angles 90°

Answer:

they intersect at right angles (90 degrees)

Step-by-step explanation:

Answer: 1/21

[tex]\frac{2}{7}:6=\frac{2}{7}.\frac{1}{6}=\frac{2}{42}=\frac{1}{21}[/tex]

Step-by-step explanation:

Answer:

[tex]\boxed {m = 1}[/tex]

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

First Point: [tex](x_{1}, y_{1})[/tex]

Second Point: [tex](x_{2}, y_{2})[/tex]

-Substitute both points:

First Point: [tex](3, -4)[/tex]

Second Point: [tex](1, 2)[/tex]

[tex]m = \frac{2 + 4}{1 - 3}[/tex]

-Solve for the slope:

[tex]m = \frac{2 + 4}{1 - 3}[/tex]

[tex]m = \frac{-2}{-2}[/tex]

[tex]\boxed {m = 1}[/tex]

Therefore, the slope is [tex]1[/tex].

Answer:

A

Step-by-step explanation:

The question is actually: 2 \sqrt[3]{x^3} ·\sqrt{16x}

The expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].

An expression is a mathematical statement that consists of variables, constants, and mathematical operators.

The expression is [tex]\rm 2\sqrt[3]{x^2} . \sqrt{16x}[/tex]

The expression can be simplified as

[tex]\rm = 2 . 4 x^{2/3} x^{1/2}\\\\\=8 x ^{ 7/6}\\\\\\ = 8x x^{1/6}\\\\= 8x \sqrt[6]{x}[/tex]

Therefore, the expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].

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Answer: the slope intercept form of 2x+y=6 is y=-2+6

Step-by-step explanation:

2x+y=6  (subtract 2x from both sides)

-2x    -2x  (the -2x and the 2x cancel leaving...)

y=-2x+6  →( y equals negative two x plus six)

the answer is:

Each equal length of ribbon is 5.25 ft

Step-by-step explanation:

21 divided by 4 is 5.25

To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.

Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.

Given length of ribbon = 21 foot

Number of parts it has to be divided = 4.

So, to get the length of each part divide the total length by 4.

Thus, the length of each part is 21/4 = 5.25 foot.

Hence,  the length Mrs. Wally' s each ribbon is 5.25 foot.

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Answer:

Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.

The solution is: (1.2, -1.6)

Step-by-step explanation:

You can also test this by plugging the values of the point into both equations.

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

True

Step-by-step explanation:

90 degrees is a right angle

Answer:

|4x-2|">"-6

add 2 to both sides

4x">"-4

divide both sides by 4

x">"-1

the ">" means greater than or equal to, I just don't have that character on my keyboard

Step-by-step explanation:

so the answer is x is greater than or equal to -1

IN: (-∞,-1]

for number line: You would write the number line from -1-10  

then, you would put  a closed dot on negative one, with an arrow going to the right!

Hope this helped! <3

Answer: y= 40x-10 , where = number of lawns.

Step-by-step explanation:

In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.

[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]

Given: Peter cuts lawns and makes $40 per lawn.

let x = number of lawns

i.e. slope = $40

He spends $10/day in work expenses.

i.e.  y-intercept = -10  [for each day]

So equation becomes : y= 40x-10 , where = number of lawns.

Answer:

I suppose that this refers to numbers like:

N = abcd

Where a, b, c and d are single digits.

We want to find the number of 4-digit numbers such that:

a, b, c and d are even numbers.

So let's count the number of options for each digit, where we impose that the possible digits must be even.

a: Here we have the options {2, 4, 6, 8} ( 0 is an even digit, but if we take a = 0, then this would be a 3 digit number) Then we have 4 options for a.

b: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.

c: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.

d: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.

The total number of possible combinations will be equal to the product of the number of options for each selection.

C = 4*5*5*5 = 500

There are 500 "nice" numbers of 4-digits.

Answer: 1st question• (-3, -45)

2nd question• x= -3

Step-by-step explanation:

just did it on edge

The vertex of the function p(x) = 30x^2 + 5x^2 is (-3,-45), and it is a minimum

The function is given as:

p(x) = 30x^2 + 5x^2

The description of the function is that the function is a quadratic function

From the question, we have:

p(x) = 5(x + 3)^2 – 45

A quadratic function represented as: p(x) = a(x - h)^2 + h has the vertex (h,k)

This means that the vertex is (-3,-45), and it is a minimum because a is positive i.e. a = 5

This is the x-coordinate of the vertex.

Hence, the axis of symmetry is x = -3

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Answer:

No Mason is not correct you would use fractions and find a common denominator such as 12 and 2/3 would be 8/12 and 3/4 would be 9/12 therefore the two ratios are not equivelent

No, the statement is not correct.

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b

The example given here is not relevant.

This is because if 2:3 is added by 1/1

gives 3/4 or 3:4

but  3:4 cannot be more simplified.

So, let us make the equivalent denominator for both

2/3*4*4= 8/12

3/4*3/3=9/12

So, 2:3 ≠3:4

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Answer:

3 minutes tens seconds or 190 seconds

Step-by-step explanation:

Find the LCM.

Answer:

Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds

Step-by-step explanation:

Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids

Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond

Mathematically 152/6 = 25.3333

Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp

Answer:

(4,0)

Step-by-step explanation:

Answer:

A. 93

Step-by-step explanation:

Each angle is 90 degrees.

18x = 90

x=5

x + y = 90

5 + y = 90

y = 85

30z = 90

z = 3

5 + 85 + 3 = 93

9514 1404 393

Answer:

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...

  5a +1(1275 -a) = 2791

  4a = 1516 . . . subtract 1275 and simplify

  a = 379 . . . . . divide by 4

  1275-a = 896

379 adult and 896 student tickets were sold.

Answer:

40

Step-by-step explanation:

A=5

mhdyudpsitsyooatost

Answer:

Your answer is -25

Step-by-step explanation:

First, you figure out what to do for the equation.

In this case we you would subtract because it says "what is the difference" which means to subtract.

So -55 subtracted by -80 = -25

Answer:

-5 and 2

Step-by-step explanation:

Answer

how much is like saying time the this

Step-by-step explanation:

60,000 time 9.35%= 56100