Evaluate the following expressions. Write your awnserers as integers or reduced fractions. (5r)^3 for r = -2

Answer:

No

Step-by-step explanation:

120/100 is the same as 1 20/100 or 1 2/10. 1 2/10 is not greater than 100

Answer:

Step-by-step explanation:

nop

Answer:

Therefore [tex]m_{2}[/tex] = -3.

Step-by-step explanation:

i) let us say the slope of the line passing through (-2,7) and (4,9) is [tex]m_{1}[/tex].

ii) to find the slope of the line passing through two points ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) we use the formula m = [tex]\dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]. Therefore we can say that  [tex]m_{1}[/tex] = [tex]\dfrac{9 - 7}{4 - (-2)}[/tex] = [tex]\dfrac{1}{3}[/tex].

iii) let us say the slope of the perpendicular line to the line  passing through (-2,7) and (4,9) is [tex]m_{2}[/tex]

iv) from the formula for the slopes of a line and the line perpendicular to it which is given by [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = -1, therefore [tex]m_{2}[/tex] = -1 ÷  [tex]m_{1}[/tex] = -3. Therefore [tex]m_{2}[/tex] = -3

Answer:

The answer is 21.

Step-by-step explanation:

6 * 2 = 12 + 9 = 21

Answer:

66

Step-by-step explanation:

The equation would go like this:

6(2+9)

Next you solve for parenthesis:

6(11)

Lastly multiply:

6(11)=66

Answer:

No it equals to 49

Step-by-step explanation:

490÷10=49

ciro needs 3 cups of flour johanna needs 20 x 15 cups

So, I think I had this for my Imagine math, so I'll help you :D

Ciro (How many cups in 1 batch):; 15 / 5 = 15 divided by 5

Johanna (How many cups for 20 batches):; 15 x 4 = 15 multiplied by 4

I hope this helps :)

Answer:

Therefore the minimum mileage for which Company A will charge more than Company B is 251 miles.

Step-by-step explanation:

i) let x be the number of miles driven

ii) If Joe rents the truck from Company A the Joe will pay Company A

  = $0.8x

iii) If Joe rents the truck from Company B then Joe will pay Company B

   = $50 + $0.6x

iv) the mileage for which the rents of both companies will be equal is given by

  $0.8x = $50 + 0.6x

Therefore 0.2x = $50

Therefore x = [tex]\frac{50}{0.2} = \frac{500}{2} = 250[/tex] miles.

Therefore the minimum mileage for which Company A will charge more than Company B is 251 miles.

Answer:

2 1/3 + 1 3/4

Step-by-step explanation:

First, find a common denominator which is 12.

2 4/12 + 1 9/12

= 4 1/12 or 37/12

Answer:

- 11 m elevation.

Step-by-step explanation:

The driver starts at an elevation of 5 m and he drives to get a change in elevation by - 16 m.

There is no doubt that the driver drives down to the negative elevation.

So, the driver first reaches the zero elevation then drives towards negative elevation.

Now, the final elevation of the driver will be at (5 - 16) m = - 11 m. (Answer)

Answer:

the first one would be m<EOF+m<FOB=180°,

and the second one would be 76ft

Step-by-step explanation:

supplementary angle means the angle that would make it equal 180°. if m<EOF is an acute angle then the angle that is supplementary to EOF would be obtuse, so FOB.

then for the second question, the midpoint splits the angle in HALF, so that means in order to find RT you multiply 38×2.

Answer: $161

Step-by-step explanation: Subtract $808 from $969

Answer: he will have $161 in his account after he buys the computer and dvd player.

Step-by-step explanation:

First, do 969-808 and you simply get 161 as your answer

So, for this problem you are simply subtracting

* brainliest answer this plz....

Answer:

600

Step-by-step explanation:

you round up 19 to 20 then you round up 28 to 30 and multiply 20 and 30

Answer:

20*30

= 600

About 600

C

Answer:

The answer is option b. -4

Step-by-step explanation:

Given: [tex]\frac{x-4}{4+x}[/tex]

the rational expression will be undefined at the zeros of the denominator

To find the zeros of the denominator

the denominator = 0

∴ 4 + x = 0

∴ x = -4

So, the rational expression will be undefined at x = -4

The answer is option b. -4

Answer:

b)

Step-by-step explanation:

[tex]\frac{x-4}{4+x}\ and\ 4+x\neq 0\ (we\ can't\ divide\ by\ 0)[/tex]

[tex]4+x\neq 0\\x\neq -4[/tex]

Answer:

c

Step-by-step explanation:

there are two answers there divisible by three

(12 and 6) so the probability of it landing on one of them is 2/8 as there are 8 numbers altogether. 2/8 is equal to 1/4 so that's the answer

Answer: $1.50

Step-by-step explanation: To find 5% of $30, first write 5% as a decimal by moving the decimal point 2 places to the left to get .05. Next, "of $30" means times 30 so we multiply .05 times 30 which gives us 1.5.

Finally, remember that we want to write our answer in terms of dollars so 1.5 dollars is the same thing as $1.50.

So 5% of $30 is $1.50.

Answer:

The values for the two equations are x=-3 and y=1

Therefore the solution is (-3,1)

Step-by-step explanation:

Given equations are [tex]y=2x+7\hfill (1)[/tex]

[tex]y=-2x+5\hfill (2)[/tex]

To solve the given equations by Substitution method :

We are using here to solve the given equations by Substitution method because equations (1) and (2) are equivalent ( it has same solution )

Therefore we can equate the two given equations  or substitute the y value equation (1) in (2) we get

2x+7=-2x-5

Subtracting with -(2x-5) on both sides we get

2x+7-(-2x-5)=-2x-5-(-2x-5)

2x+7+2x+5=-2x-5+2x+5

4x+12=0 ( adding the like terms )

4x=-12

[tex]x=-\frac{12}{4}[/tex]

Therefore x=-3

Now substitute the value x=-3 in equation (1) we get

y=2(-3)+7

y=-6+7

Therefore y=1

The values are x=-3 and y=1

The solution is (-3,1)

Answer:

See image attached.

Step-by-step explanation:

Final answer:

The initial setup for the equation based on the coin values and the total amount led to an incorrect result with a negative number of nickels. This suggests there was an error in the calculations or assumptions, and the equation should be revisited and the numbers checked to find the correct number of each type of coin.

Explanation:

Let's call the number of nickels Sarah has n. According to the problem, Sarah has 10 more dimes than nickels, which means she has n+10 dimes. It is also given that she has twice as many quarters as dimes, making it 2(n+10) quarters. In terms of their values, nickels are worth 5 cents, dimes are worth 10 cents, and quarters are worth 25 cents. The total value of Sarah’s coins is $9.25, which is equivalent to 925 cents.

To find the number of each coin, we can set up the following equation:

5n + 10(n+10) + 25(2(n+10)) = 925

Simplifying the equation:

5n + 10n + 100 + 50n + 1000 = 925

65n + 1100 = 925

65n = 925 – 1100

65n = -175

n = -175 / 65

n = -2.6923

This result is not possible since we cannot have a negative number of coins. It seems there was an error in the calculations or assumptions. It is important to check the equation and numbers we're using to ensure they properly represent the coin values and the total amount.

I can save $2,128 in my academic year and my roommate can save $392 in their academic year.

Step-by-step explanation:

Total housing amount= rent + electricity= $1,025 + $60= $1,085 per month

My rent is 40% of $1,085 which equals $434 a month while my roommate’s rent would be 60% of $1,085 which equals $651 a month.

The scholarship gives me $700 a month for housing out of which I spend $434 and my roommate spends $651.

I save; $700 - $434 = $266 a month

My roommate saves; $700 - $651 = $49 a month.

An academic year lasts for 8 months so my savings= $266 x 8 = $2,128

My roommate’s savings= $49 x 8 = $392  

Answer:

$2,128

Step-by-step explanation:

Expenses is allocated based on the decided ratios. Expenses and Inflows

Expenses will be calculated for 8 Months time period.

Rent = 1,025 x 8 months = $8,200

Electricity Expense = $60 x 8 = $480

Total Expense = $8,200 + $480 = $8,680

Total Scholarship = $700 x 8 = $5,600

Out of Pocket Cost = $8,680 x 40% = $3,472

Saving is the difference between The scholarship received and the Expenses made from pocket.

Saving = $5,600 - $3,472 = $2,128

Answer:

10.50x = 63

You'll divide 63 by 10.50 to get 6 weeks.

Answer:24 oringal width

49 original length

Step-by-step explanation:

The original dimensions of the rectangular piece of metal were 30 inches by 55 inches, based on the given conditions of making an open box and its volume.

In this problem, we have a rectangular piece of metal that is being converted into an open box. Note that the length of the rectangular piece is 25 in longer than its width.

When squares with side 5 in are cut from the corners and the sides are folded up to make the open box, the dimensions of the box formed become length = w+25-10, width = w-10, and height = 5, where w is the width of the original rectangular piece.

The volume of a box is given by the product of length, width, and height. So if the volume of this box is given as 2730 cubic inches, we can write the equation (w-10)(w+15)(5)=2730.

This can be solved to give w=30 (excluding the negative solution as unrealistic for this context). Therefore, the original dimensions of the metal piece were 30 in (width) by 55 in (length).

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Answer:

59,778

Step-by-step explanation:

The product of 729 and 82 is calculated through standard multiplication, resulting in a final product of 59,778.

The student is asking to calculate the product of two numbers, 729 and 82. To find the product, we can use basic multiplication skills. Here is the step-by-step calculation:

First, set up the multiplication:

Next, multiply 2 by each digit of 729 and write the result below the line.

Then, multiply 8 by each digit of 729, remember to shift one place to the left.

Now, add both results to get the final

product

.

The final product of 729 multiplied by 82 is 59,778.

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Answer:

an equation for how much your phone costs per month=

.15x+10

Answer:

[tex]x_{24} = a_{2} +b_{4} \\y_{13} = a_{1} - b_{3}[/tex]

:)

Answer:

it -3 and 7

Step-by-step explanation:

Answer:

5(x+4)=6

5 times a number and (+) 4 is equal to 6.

Answer: No

Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms.

A fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.

So for our first fraction, 4/9, since the greatest common factor of 4 and 9 is 1, we know that are fraction is already written in lowest terms.

For our second fraction however, since the greatest common factor of 20 and 36 is 4, we must divide both the numerator and the denominator by 4 to write our fraction in lowest terms. This gives us 5/9.

Since 5/9 is bigger than 4/9, te fractions are not equivalent so no, 4/9 is not equivalent to 20/36.

Final answer:

To factor the trinomials x^2 - 2x - 1 and x^2 - 3x + 1, you can use the quadratic formula or factoring by grouping.

Explanation:

To factor the trinomials x^2 - 2x - 1 and x^2 - 3x + 1, we can use the quadratic formula or factoring by grouping.

a) For x^2 - 2x - 1, we can use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac))/(2a)

Plugging in the values, we have:

x = (-(-2) ± sqrt((-2)^2 - 4(1)(-1)))/(2(1))

x = (2 ± sqrt(4 + 4))/(2)

x = (2 ± sqrt(8))/(2)

x = (2 ± 2sqrt(2))/(2)

x = 1 ± sqrt(2)

Therefore, the factored form is: x^2 - 2x - 1 = (x - (1 + sqrt(2)))(x - (1 - sqrt(2)))

b) For x^2 - 3x + 1, we can also use the quadratic formula:

x = (3 ± sqrt(3^2 - 4(1)(1)))/(2(1))

x = (3 ± sqrt(5))/(2)

Therefore, the factored form is: x^2 - 3x + 1 = (x - (3 + sqrt(5))/(2))(x - (3 - sqrt(5))/(2))

a) x^2 - 2x - 1 = (x - 1)(x + 1)

b) x^2 - 3x + 1 = (x - 1)^2

a) x^2 - 2x - 1:

This trinomial is in the form ax^2 + bx + c. To factor it, we need to find two numbers that:

Multiply to ac (in this case, 1 * -1 = -1).

Add up to b (in this case, -2).

These two numbers are -1 and 1.

So, we can rewrite the trinomial as:

(x - 1)(x + 1)

Therefore, the factored form of x^2 - 2x - 1 is (x - 1)(x + 1).

b) x^2 - 3x + 1:

This trinomial is also in the form ax^2 + bx + c. To factor it, we need to find two numbers that:

Multiply to ac (in this case, 1 * 1 = 1).

Add up to b (in this case, -3).

These two numbers are -1 and -1.

So, we can rewrite the trinomial as:

(x - 1)(x - 1)

However, it is common practice to simplify repeated factors, so the fully factored form of x^2 - 3x + 1 is (x - 1)^2.

Answer:

  a = 2; r = -1

Step-by-step explanation:

a is the first term: 2

r is the ratio of successive terms: -2/2 = 2/-2 = -1.

Answer:

 a = 2; r = -1

Step-by-step explanation:

a is the first term: 2

r is the ratio of successive terms: -2/2 = 2/-2 = -1.

Answer:

[tex]A=189\ mm^2[/tex]

Step-by-step explanation:

Surface Areas

Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.

Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

[tex]\displaystyle A_t=2*\frac{b.h}{2}=b.h=(4.5)(6)=27 mm^2[/tex]

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

[tex]A_f=b.h=(7.5)(9)=67.5 \ mm^2[/tex]

The back left area is another rectangle of 4.5 mm by 9 mm

[tex]A_l=b.h=(4.5)(9)=40.5 \ mm^2[/tex]

Finally, the back right area is a rectangle of 6 mm by 9 mm

[tex]A_r=b.h=(6)(9)=54 \ mm^2[/tex]

Thus, the total surface area of the prism is

[tex]A=A_t+A_f+A_l+A_r=27+67.5+40.5+54=189\ mm^2[/tex]

[tex]\boxed{A=189\ mm^2}[/tex]

Answer:

Step-by-step explanation:

y=5x=10

Answer:

7/10 - 1/2 = 7/10 - 5/10 = 2/10 = 1/5 (one fifth)

Step-by-step explanation: