which algebraic rule describes the 270° counter-clockwise rotation about the origin?
a) (x, y) → (−x, y)
b) (x, y) → (x, −y)
c) (x, y) → (y, −x)
d) (x, y) → (−y, x)

the origncal price would be $26 I kinda did a guess and check but if you multiple 26 by 15% you get 3.9 and 26 minus 3.9 is 22.10

After paying for the flat rate, she has 10-3.25=6.75 left.

With 6.75 she can go for 6.75/0.75 = 9 miles

Note: solving by reasoning is often faster than mechanically forming an equation.

Final answer:

To find the maximum number of miles Ashley can travel with $10, subtract the flat rate of $3.25 from $10, leaving $6.75, which is then divided by the per mile rate of $0.75 to result in 9 miles.

Explanation:

To calculate the maximum number of miles Ashley can travel with $10 using the cab service that charges a flat rate plus a per mile fee, you first subtract the flat rate from the total amount Ashley has. Then, divide the remaining amount by the per mile charge to find the number of miles she can afford.

Step-by-step Calculation

Subtract the flat rate ($3.25) from Ashley's total amount ($10): $10 - $3.25 = $6.75.

I believe the answers are lower and lower. -20 is lower than -12, and -12 is lower than -3

hey that is my name Blake -20 lower -12 high and -3 higher

264. Is another way once you multiply it.

If you look at clue #2 first then you see that if you know one of the numbers then the other number is 3 less than it, so if I let one of the numbers be x then the other is

x - 3. Now clue # 1 says the sum of the two numbers is 21 so

x + (x - 3) = 21

12+9=21 because 12-3=9 and 9+12 is 21

1 lb = 16 ounces

11.3 lb x 16 oz = 180.8 ounces

11.3 lb equals 180.8 oz

Answer: 180.8 ounces

Step-by-step explanation: To convert 11.3 pounds to ounces, first find the conversion factor for pounds and ounces.

Conversion factor → 16 ounces = 1 pound

Next, notice that we are going from a larger unit "pounds" to a smaller unit "ounces." When we go from a larger unit to a smaller unit we multiply.

Larger ⇒ smaller multiply

In this case, we multiply 11.3 pounds by our conversion factor which is 16 ounces.

11.3 × 16 = 180.8 oz.

This means that 11.3 pounds is equal to 180.8 ounces.

It is $600. Hope i helped

Hey there!!

Given equation :

... 4x +3(x+2) = 5(2x-3)

Using the distributive property :

... 4x + 3(x) + 3 (2) = 5(2x) + 5(-3)

... 4x + 3x + 6 = 10x - 15

Combining the like terms :

... 7x + 6 = 10x - 15

Subtracting 7x on both sides :

... 6 = 3x - 15

Adding 15 on both sides :

... 21 = 3x

Dividing by 3 on both sides :

... x = 7

This is the solved equation. The first step we have done to solve the equation was using the distributive property.

Hope my answer helps!

To represent 8.2 using base 10 blocks, you need 8 one blocks and 2 tenth blocks, where one blocks represent 1 and tenth blocks represent 0.1. This method is effective for visualizing numbers in base 10.

To represent the number 8.2 using base 10 blocks, we use different sizes of blocks to represent different place values in base 10.

Each size block is worth a different value based on its place in the number.

To represent 8.2, we would need:

This method of representation helps in visualizing and understanding the value of numbers in the base 10 system. It's particularly useful in educational settings for explaining the concept of place values and decimals.

10x^5 + 5x^3 - 14x^2 - 7

= 5x^3(2x^2 + 1) - 7(2x^2 + 1)

= (5x^3 - 7)(2x^2 + 1)

Answer is D

(5x^3 - 7)(2x^2 + 1)

Answer:

D.

Step-by-step explanation:

Let's use common factor gruping terms. We have that we have a common factor between the two left terms and another common factor between the two right terms. Then,

for the two left terms we take the common divisor, in this case 5 and the x with the minimun exponent, that is 5x^3.

for the two right terms we take the common divisor, in this case -7 and the x with the minimun exponent, in this case the -7 has no x so we don't include it in the common factor.

[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)[/tex]

Now, we use common factor again, this time the common factor will be [tex]2x^2+1[/tex]:

[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)= (2x^2+1)(5x^3-7)[/tex].

Then, the answer is D.

let x represent the number of apples and y represent the number of oranges.

TOTAL: x + y = 112  

                  y = 112 - x

PEELED: [tex]\frac{3}{8}x = \frac{1}{2}y[/tex]

[tex](8)\frac{3}{8}x = (8)\frac{1}{2}y[/tex]

3x = 4y

3x = 4(112 - x)

3x = 448 - 4x

7x = 448

x = 64

y = 112 - x

  = 112 - 64

  = 48

a) There are 64 apples and 48 oranges

Peeled apples: [tex]\frac{3}{8}x = \frac{3}{8}(64)[/tex]= 3(8) = 24

Unpeeled apples: 64 - 24 = 40

Unpeeled - Peeled: 40 - 24 - 16

b) there are 16 more unpeeled apples than peeled apples

To find the X and Y intercepts from a slope intercept equation, first understand the equation structure (y = mx + b). The 'm' signifies the slope, and the 'b' indicates the y-intercept. To find the x-intercept, set y to zero and solve for x. To find the y-intercept, look at the 'b' value.

In a slope intercept equation written in the form y = mx + b, the x-intercept and y-intercept are determined by values of y and x when they equal zero respectively. The 'm' signifies the slope of the line, indicating the rise over run on the graph, and the 'b' indicates the y-intercept, which is the point at which the line intersects the y axis.

To find the y-intercept from a slope-intercept equation, you consider the 'b' in the equation. For instance, in the line graph, the y-intercept is 9, meaning the line crosses the y-axis at the point (0,9).

To find the x-intercept (the point where the line crosses the x-axis), you set y equal to zero and solve for x. If 'y' is equal to '0', then the equation becomes 0 = mx + b. Solving for 'x' in this equation will give the x-intercept.

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Hello!

[tex]\frac{n}{6}=5.5[/tex]

First you had to multiply by 6 from both sides.

[tex]\frac{6n}{6}=5.5*6[/tex]

Then you simplify by the answer is correct.

[tex]n=33[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

8 + 5n = -27

5n = -35

n = -7

Steps:

[tex]x=\frac{-8+\sqrt{8^2-4\cdot \:1\cdot \:20}}{2\cdot \:1}: -4+2i[/tex]

[tex]x=\frac{-8-\sqrt{8^2-4\cdot \:1\cdot \:20}}{2\cdot \:1} -4-2i[/tex]

=\frac{-8-\sqrt{16}i}{2\cdot \:1}[tex]=-8-\sqrt{16}i[/tex]

[tex]=\frac{-8-\sqrt{16}i}{2}[/tex]

[tex]=\frac{-8-4i}{2}[/tex]

[tex]=-2\left(2+i\right)[/tex]

[tex]=-4-2i[/tex]

[tex]x=-4+2i,\:x=-4-2i[/tex]

Answer:you can use the quadratic formula but if you have to factor do the following:

x^2+8x+20=0

add -4 to both sides of the equation to complete the square

x^2+8x+20+(-4)=0+(-4)

x^2+8x+16=-4

(x+4)^2=-4

take the square root of both sides

x+4=+sqrt(-4)

x+4=+sqrt[(4)(-1)]

x+4=+2sqrt(-1) where sqrt(-1)=i, a complex number

x+4=+2i

x=-4+2i

x=-4+2i and x=-4-2i

you would get the same answer using the quadratic formula

Step-by-step explanation:

t<-3 should be the answer. I hope this helps

3.2=-3.2

2.3=-2.3

1.5=-1.5

5.1=-5.1

We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.

Sam and Bruno were computing how many kilometers.

Also one kilometer equals 0.621 miles.

From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.

In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.

We always divide a larger value by a smaller value to get the smaller unit.

Therefore,

27=2J+B

you can guess and check: 27=2(9)+9

J=jay

B=blair

We can solve this using the equation 2x+x=27. The 2x represents Jay, and the x represents Blair. We can simplify the equation to 3x=27. 27/3=9. Blair caught 9 fish, and Jay caught 18 fish. I hope this helps!

Hello  AskMeBosh

Since we know that there are 3 friends, and 63.90 dollars would be sent, we would divide by 3

63.90/3

= 21.3

Their check for each will be 21.3 dollars

:)

The split of the dinner each has to spend 21.30.

Thus, each person has to pay 21.30.

Learn more about division here:

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Step 1. Factor out common terms in the first two terms, then in the last two terms.

2x^2(x - 5) -5(x - 5)

Step 2. Factor out the common term x - 5

(x - 5)(2x^2 - 5)

Answer:

88

Step-by-step explanation:

You are just adding 82+6=88

Answer:

Problem 1: The correct answer is B.

Problem 2: The correct answer is A.

Problem 3: The correct answer is B.

Let cost of Emma's phone = x

Given that cost of Sophie's phone = 640

Then ratio of their phones cost will be x:640 or x/640

Given that ratio of their phones cost is 7:8 or 7/8

So both ratios will be equal.

[tex]\frac{x}{640}=\frac{7}{8}[/tex]

[tex]x=\frac{7}{8}*640[/tex]

x=560

So the new ratio of the cost of their phones will be 560:640

Now we have to find about how much should the prices of their phones decrease in order to have a ratio of 9:11.

So let that decreased amount is k then we will get equation :

[tex]\frac{560-k}{640-k}=\frac{9}{11}[/tex]

11(560-k)=9(640-k)

6160-11k=5760-9k

6160-5760=11k-9k

400=2k

200=k

Hence final answer is prices of their phones should decrease by 200 in order to have a ratio of 9:11.

Answer:

For the ratio between the price of the phones to be 9:11, the price of Emma's phone must decrease from $ 560 to $ 523.66. That is, the price of Emma's phone should decrease $ 36,364

Step-by-step explanation:

To answer this question, call x on Emma's phone and z on Sophie's phone.

We know that the price relationship between x and z is 7: 8

This means that:

[tex]\frac{7}{8} =\frac{x}{z}[/tex]

We know that the price of Sophie's phone is $ 640

Entoces z = 640  

Now we clear x

[tex]\frac{7}{8} =\frac{x}{640}\\ x =640}\frac{7}{8}=560\\ x = 560[/tex]

Then, if the new relationship is 9:11 then:

[tex]\frac{9}{11} =\frac{x}{640}[/tex]

x = $523,636

For the ratio between the price of the phones to be 9:11, the price of Emma's phone must decrease from $ 560 to $ 523.66. That is, the price of Emma's phone should decrease $ 36,364

Number one would be -8

k=-5/6 would be your answer

The answer you are looking for is K = -5/6.

To find this, you must get K by itself. First, subtract 8k from both sides to get 12k + 11 = 1. Next, subtract 11 from both sides to get 12k = -10. Finally, divide both sides by 12 to get K = -10/12, which simplified, is -5/6. Thus making -5/6 the answer.

I hope this helps!

78 - 19 = 59

If you're looking for the number of boxes that are left, its 59, but if you are looking for how many DVDs are left then you would proceed to do:

116 · 59 = 6844

6844 would be the number of DVDs that are left in the remaining boxes.

We are given the  volume of a spherical tank =  790.272 π cubic feet.

We need to find the diameter of the container .

We know formula for volume of a sphere.

[tex]V=\frac{3}{4}(r^{3}\pi)[/tex]

Where r is the radius.

Plugging V= 790.272 π  in the above formula, we get

[tex]790.272\pi =\frac{3}{4}(r^{3}\pi)[/tex]

Dividing both sides by π, we get

790.272 =[tex]\frac{4}{3}(r^{3})[/tex]

Multiplying both sides by 3, we get

2370.816 = [tex]4r^3[/tex]

Dividing both sides by 4, we get

592.704 = [tex]r^3[/tex]

Taking cube root on both sides, we get

r=8.4.

Diamater is 2 times of radius, that is 2 × 8.4 = 16.8

Therefore, the diameter of the container = 16.8 feet.