quadrilateral ADCD Is the image of quadrilateral ABCD UNDER TRANSLATION

Jen bought 5 CDs for $57.50. What was the unit rate?

The given price for five CD's is $57.50. You're being asked to find the unit rate, also known as unit price, which is the cost of one CD.

To find the unit rate of an item, you need to divide the price by the quantity.

[tex]\text{Unit Rate} = \frac{price}{quantity}[/tex]

The first step is to substitute the given amounts into the above formula.

[tex]\text{Unit Rate} = \frac{\$57.50}{5}[/tex]

Now, all you need to do is divide.

[tex]\text{Unit Rate} = \frac{\$57.50}{5} \rightarrow \$11.50[/tex]

The unit rate is $11.50 per CD.

Answer:

The unit rate is $11.50 per CD.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given:

Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.

The equation is

[tex]29.95 + 0.79d = 91.57[/tex]

To find:

Whether the statement are true or false.

Solution:

We have,

[tex]29.95 + 0.79d = 91.57[/tex]

Here,

Fixed cost = 29.95

Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.

So, the variable d represents the number of miles Ms. Knowles drove.  Hence, statement A is true.

The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.

You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.

Hence, statement C is false.

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=2x−5 and b=3y

.

(2x−5+3y)(2x−5−3y)

Step-by-step explanation:

hope this helps

Answer:

see below

Step-by-step explanation:

shape LNMP is :

Answer:

lafante

Step-by-step explanation:

Distance in co ordinate units is √27  .

Given,

2+6i and -4+3i in the complex plane

To get distance between these numbers we have to find modulus of their difference:

z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i

So, distance

d = |(-6 -3i)|

Finding the magnitude of the complex plane obtained ,

= √-6² + (-3i)²

=√27 .

Thus the distance between two complex plane is √27 .

Know more about complex plane,

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Answer:

i hate biden

Step-by-step explanation:

Answer: 4x-6=-46

4x-6=-46

Answer:

6/11

Step-by-step explanation: If not this try 12/22

This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11

Answer:

0.5 m

Step-by-step explanation:

Just use the answer

Answer: 270 people

Step-by-step explanation:

Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:

Fraction of people who gets there news from social media = 3/10

Fraction of people who got there news from other sources = 7/10

If there are 900 people, number of people who gets there news from social media will be:

= 3/10 × 900

= 3 × 90

= 270 people

Answer:

44,62, and where is E

Step-by-step explanation:

Part (i)

--------

Reason:

Angle CBA is a right angle (thales theorem), so angle DBA must add to DBC to get 90 degrees. In other words, we solve x+46 = 90 to get x = 44.

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Part (ii)

--------

Reason:

Both inscribed angles DAC and DBC subtend the same arc (minor arc DC), so the inscribed angles are congruent.

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Part (iii)

--------

Reason:

Angle BDC is 28 degrees since angle BAC is also 28 degrees (similar reasoning as part ii above). Let y = angle BCD

Focus on triangle BCD. The three interior angles add to 180

B+C+D = 180

46+y+28 = 180

y+74 = 180

y = 180-74

y = 106

Then subtract 180 from this to get the exterior angle BCE

angle BCE = 180-(angle BCD)

angle BCE = 180-y

angle BCE = 74

Or as a shortcut, you could use the remote interior angle theorem

angle BCE = (angle BDC) + (angle DBC)

angle BCE = (28) + (46)

angle BCE = 74

Answer:

The answer is C. [tex]\frac{\sqrt{6} + \sqrt{2} }{4}[/tex]

Step-by-step explanation:

The value of cos(15°) is (√(6) + √(2))/4.

The correct option is C.

The half-angle formula is a trigonometric identity that relates the trigonometric functions of half of an angle to the trigonometric functions of the original angle.

Using half-angle formula for cosine

cos(x/2) = √((1 + cos(x))/2)

In this case, x = 30°, so we have:

cos(15°/2) = √((1 + cos(30°))/2)

cos(15°/2) = √((1 + √(3)/2)/2)

Now, rationalize the denominator:

cos(15°/2) = √((2 + √(3))/4)

cos(15°/2) = √((1/2 + √(3)/4))

Finally, we factor the numerator by multiplying it by (√(2) + √(6))/(√(2) + √(6)):

cos(15°/2) = (√(2) + √(6))/(2√(2))

cos(15°) = (√(2) + sqrt(6))/(2√(2))

By rationalizing the denominator further, we get:

cos(15°) = (√(2) + √(6))/(2√(2))  (√(2)/sqrt(2))

cos(15°) = (√(2)√(2) + √(6)√(2))/(2√(2)√(2))

cos(15°) = (2 + √(12))/(2 x 2)

cos(15°) = (2 + 2√(3))/(4)

cos(15°) = (√(6) + √(2))/4

Therefore, the value of cos(15°) is (√(6) + √(2))/4.

Learn more about Half angle Formula here:

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Answer:

$1100 per week

Step-by-step explanation:

Amount made per week = $990

Increase amount per week  = $110

Unknown:

What will be his weekly pay per week = ?

Solution:

His weekly pay per week will be = amount made per week + Increase

                                                       = $990 + $110

                                                       = $1100

He now makes $1100 per week.

Answer: -9

Step-by-step explanation:

When you plug in the numbers you get the equation 4* (-6) + 5*3

When you solve it out you get -24 + 15. This equals -9.

Answer:

x=-1

Step-by-step explanation:

-2(x-6)=x+5

-2x-(-12)=x+5

-2x+12=x+15

-2x -----^

x+2x=3x

+15 turns into minus 15

12-15= -3

-3=3x

-1=x

Answer: 7/3 or 2.333333333

Step-by-step explanation:

Distribute -2 to x and -6

-2x + 12 = x + 5

Subtract x from both sides

-3x + 12 = 5

Subtract 12 from both sides

-3x = -7

Divide -3 from both sides

X= 7/3 or 2.333333333

Answer:

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Step-by-step explanation:

Given that:

Total Number of cameras (n) = 8

Defective cameras = 4

X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Answer:

Step-by-step explanation:

-(-2)^2 - (8(-2)-2(-3)) + 4(-3)

-4 -(-16 + 6) - 12

-4 - (-10) - 12

-4 + 10 - 12

6 - 12 = -6

Answer:

2/5 = 4/5 - 2/5 = m

Answer: 15

Step-by-step explanation: Well first you have to minus 33-18=15

Answer:

4:15, 4:3, 1:5

Step-by-step explanation:

Part A:

There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.

4:15

Part B:

As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.

4:3

Part C:

There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.

3:15 = 3/3:15/3 = 1:5

Hope this helps.

Answer:

The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,

Step-by-step explanation:

Answer:

y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P

Answer:

y=2x + (-1)

Slope is m=2 and the y-intercept is b= -1

Answer:

y=-1/2x+3

Step-by-step explanation:

Answer:

x=9, hope I helped :P

Answer:

A

Step-by-step explanation:

yiu have to rotate it in order to make that

Answer:

15

Step-by-step explanation:

15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15

Answer:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).

Step-by-step explanation

If it is wrong then I'm sorry