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The rule as a mapping for the translation of a rectangle is (x, y) - (x - 5, y
+ 2). Which describes this translation? *
a translation of 5 units down and 2 units to the right
O a translation of 5 units down and 2 units to the left
a translation of 5 units to the right and 2 units up
O a translation of 5 units to the left and 2 units up​

Answer:

x+y=7

y= x+3

Step-by-step explanation:

i just took the test

The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of x and y is 7. The value of y is three more than the value of x. Then the equation is given as,

x + y = 7                ...1

y = x + 3               ...2

From equations 1 and 2, then we have

x + x + 3 = 7

2x = 4

x = 2

Then the value of the variable 'y' will be given as,

y = 2 + 3

y = 5

The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).

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Answer:

5.125 = [tex]5\frac{125}{1000}[/tex] = [tex]5\frac{1}{8}[/tex]

Step-by-step explanation:

=> 5.125

Changing this into fraction form:

=> [tex]5\frac{125}{1000}[/tex]

In simplified form:

=> [tex]5\frac{1}{8}[/tex]

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Given

[tex]2y-x=-6[/tex]

Required

Determine the x intercept

To get the value of x intercept; we simply substitute 0 for y;

i.e. y = 0

[tex]2y-x=-6[/tex] becomes

[tex]2(0)-x=-6[/tex]

[tex]0-x=-6[/tex]

[tex]-x=-6[/tex]

Multiply both sides by -1

[tex]-1 * -x=-6 * -1[/tex]

[tex]x=-6 * -1[/tex]

[tex]x = 6[/tex]

Hence, the x intercept is 6

Answer:

11/8 or, 1 and 3/8

Step-by-step explanation:

First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!

Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)

Hope this helps! :)

Hey there! :)

Answer:

1,500,000.

Step-by-step explanation:

Convert to standard notation by first deriving the value of 10 to the exponent given:

[tex]10^{6} = 1,000,000[/tex] (6 zeros)

Multiply:

1.5 × 1,000,000 = 1,500,000

Answer:given below

Step-by-step explanation:

sqrt x^2 +81= x + 10

x^2 + 81 = (x+10)^2

x^2 + 81 = x^2 + 20x + 100

so answer is:  

x^2 + 81 = x^2 +20x + 100

..HOPE IT HELPS YOU...ALL THE BEST

Answer:

The answer is D on egdge2020

Answer:  A. Drawing a jack and drawing a six without replacement

Step-by-step explanation:

A Dependent event means the outcome of one event affects the outcome of the other event.

Options B, C, and D:

The first event is completely unrelated to the second event so those options are Independent events.

Option A:

The first event uses 52 cards.  The second event only has 51 cards remaining because we did not replace the first card.  The probability of the second event IS affected by the first event so this is a Dependent event.

Note: If the card was replaced before drawing the second card, then it would be an Independent event.

The example for dependent events is (A) Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack.

If the probability of one event of two events is affected by another one then that two events are called dependent events of one another.

The probability of an event is the ratio of the favorable cases for that event to the total number of possible cases under that event.

Here analyzing the given choices we get,

(A) If we draw a jack from a standard deck of cards that is containing 52 cards.

And then we draw a six replacing without that jack card then it affects the probability as the total number of cards for this event reduces from 52 to 51.

So these two events are dependent events.

(B) Winning a lottery and getting struck by lighting are completely two different events from a different field, so they are independent.

(C) Spinning a 5 on a spinner cannot affect getting tails from flipping a coin. So they are not dependent on events.

(D) Owning a dog cannot affect being in the school chorus so they are independent (not dependent).

Hence the correct answer is (A).

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Answer:

ABC~WXY by AA

Step-by-step explanation:

In ΔABC

∠B = 90°

∠A = 27°

To Find ∠C

Angle sum property: The sum of all angles of triangle is 180°

∠A+∠B+∠C=180°

27°+90°+∠C=180°

∠C=180°-117°

∠C=63°

In ΔWXY

∠X = 90°

∠Y = 63°

We will use angle sum property

So, ∠W+∠Y+∠X=180°

90°+63°+∠W=180°

∠W=180°-(90°+63°)

∠W=27°

So, ∠A=∠W

∠B =∠X

∠C = ∠Y

So, ABC~WXY by Angle - Angle property.

Hence ABC~WXY by AA

Answer:

$0.40 per oz

Step-by-step explanation:

given that the cereal is $3.60 for a 9 oz box

i.e

9 oz ----> costs $3.60

1 oz ----> costs $3.60 ÷ 9 = $0.40

hence the unit rate is $0.40 per oz

Answer:

0.40 per ounce

Step-by-step explanation:

The question asks is to find the unit rate, or price per ounce.

To find this, we need to divide the price by the number of ounces.

price/ ounces

It costs $3.60 for 9 ounces of cereal.

$3.60/9 ounces

Divide $3.60 by 9 (3.60/9=0.4)

$0.4/ounce

It costs $0.40 per ounce of cereal.

Answer:

2 and 30

Step-by-step explanation:

2/3=20/30

2 and 30 means the extremes and 3 and 20 are the means

Answer:

Yes, in fact Bill exceeded his target by £2,200.

Step-by-step explanation:

Cost of the laptops = 50 x 400

= 20,000

Sold 40 at 30% profit

(40 x 400) x 1.30

= 20,800

Sold 10 at 15% profit

(15 x 400) x 1.15

= 6900

Total sales value

= 20800 + 6900 = 27,700

Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.

Note: Profit and loss are always calculated on C.P.

Bill buys 50 laptops for £400 each.

∴ His C.P. of each laptop = £400.

He sells them in two parts,

Part 1:

He sells 40 laptops at 30% profit on each laptop.

∴ Profit on each laptop = 30% of C.P. = 30% of £400 = £(0.3*400) = £120

∴ S.P. of each laptop = C.P. + Profit = £400 + £120 = £520

Total sales 1 = Number of laptops * S.P. of each = 40*£520 = £20,800.

Part 2:

He sells 10 laptops at 15% profit on each laptop.

∴ Profit on each laptop = 15% of C.P. = 15% of £400 = £(0.15*400) = £60

∴ S.P. of each laptop = C.P. + Profit = £400 + £60 = £460

Total sales 2 = Number of laptops * S.P. of each = 10*£460 = £4,600.

Bill's total sales after both parts = Total sales 1 + Total sales 2

or, Bill's sales = £20,800 + £4,600 = £25,400.

Since Bill's total sales are greater than his target, that is, £25,400>£25,000. So, we can say that Bill reached his target.

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Answer:

this question is roung

Answer:

(B)-x-(-x) =0

Step-by-step explanation:

Option A

Our equation is: -x +0+(- x) = 0

Left Hand Side:

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

[tex]($Left Hand Side) $-2x\neq 0$ (Right Hand Side)[/tex]

Option B

Our equation is: -x-(-x) =0

Left Hand Side:

-x-(-x) =-x+x=0

[tex]($Left Hand Side) 0 = 0 (Right Hand Side)[/tex]

Therefore, the equation in Option B is true.

Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

The table that represents the speed of the car that increases and decreases as time increases is Table B.

Option B is the correct answer.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values is given using this formula.

We have,

From the table,

We see that,

Time      5     6     7      8     9

Speed   45   47   49   48   47

This indicates that,

As time increases, the speed increased from 5 minutes to 7 minutes and decreases from 7 minutes to 9 minutes.

Thus,

The table that represents the speed of the car that increases and decreases as time increases are in Table B.

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Answer:

  g + 13 = 76

Step-by-step explanation:

We are told to use the variable "g" for the number of gallons of gas in the tank. When we add 13 to that, we are told the sum is 76. When all numbers are in gallons, this translates to ...

  g + 13 = 76

Answer:

[tex]n^2+3[/tex]

Step-by-step explanation:

4, 7, 12, 19, 28

The differences are 7-4=3, 12-7=5, 19-12=7, 28-19=9.

This is an arithmetic sequence since the differences are constant.

There must be [tex]n^2[/tex] in the nth term.

These are the next terms in the sequence:

4, 7, 12, 19, 28, 39, 52, 67, 84, 103, 124, 147, 172, 199, 228, 259, 292, 327, 364, 403, 444, 487, 532, 579, 628, 679, 732, 787, 844, 903, 964, 1027, 1092, 1159, 1228, 1299, 1372, 1447..

[tex]n^2 +c=4[/tex]

[tex]1^2+c=4[/tex]

[tex]c=4-1[/tex]

[tex]c=3[/tex]

Therefore, the nth term is [tex]n^2+3[/tex].

Answer:

nth term = n^2 + 3.

Step-by-step explanation:

4 7 12 19 28

The differences  are in an arithmetic sequence so this is a quadratic sequence,

- the differences are 3, 5, 7, 9... which is an A.S.

The  common difference of the A.S. is 2 so there is n^2 in the formula for the nth term.

By inspection , we see that each term is 3 more than  the term number squared.

1^2 + 3 = 4

2^2 + 3 = 7

3^2 + 3 = 12  

4^2 + 3 = 19   and so on.

Answer:

Yes, because both figures are rectangles and all rectangles are similar (B)

Question:

The complete question related to this found at brainly (question Id: 2996738) is stated below:

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

a. Yes, because corresponding sides are parallel and have lengths in the ratio 1/4

b. Yes, because both figures are rectangles and all rectangles are similar.

c. No, because the center of dilation is not at (0, 0).

d. No, because corresponding sides have different slopes

Step-by-step explanation:

Coordinates of rectangle EFGH

E (-4,4), F(4,4), G(-4,0), H (4,0)

EF = 8

FG =4

GH= 8

HE= 4

Coordinates of rectangle ABCD

A (-3,3), B(3,3), C(-3,0), D (3,0)

AB = 6

BC = 3

CD = 6

DA = 3

Find attached the diagram.

Image = EFGH, pre-image = ABCD

Scale factor = (sides of the image)/(sides of the pre-image)

= 8/6 = 4/3

Similar shapes have same shapes but different sizes. From the result obtained, the two shapes are similar with different sizes.

Rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin.

Reason: the lines connecting the coordinates of both shapes meet at the origin. And also both figures are rectangles and all rectangles are similar (B)

Answer:

[tex]Total = 7\frac{1}{2} cups[/tex]

Step-by-step explanation:

Given

Initially, he drank 3 pints of water

Then, [tex]1\frac{1}{2}[/tex] more cups

Required

How many cups did Ian drink altogether

This question can be solved by adding the size of water he drank during the hike and when he got home

i.e.

[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]

But the answer should be in cups;

So, number of pints has to be converted to number cups

Given that 1 pint = 2 cups;

3 pints will be 3 * 2 cups

3 pints = 6 cups;

So,

[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]

[tex]Total = 6\ cups + 1\frac{1}{2} cups[/tex]

[tex]Total = 7\frac{1}{2} cups[/tex]

Altogether, he drank [tex]7\frac{1}{2} cups[/tex] of water

Answer:

Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Step-by-step explanation:

Given that there are 4 lines that are extended from a point K.

Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]

Angle between KN and KM is [tex]61^\circ[/tex] i.e.  [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].

Angle between KM and KL is [tex]61^\circ[/tex] i.e.  [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]

Please refer to the attached image for the conditions and dimensions of angles given in the question statement.

Now, let us have a look at the options given:

1. Point K is a midpoint of Line segment JL

JL is not a straight line first of all, and secondly there is no condition given about the line segments.

So, it is incorrect.

2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]

[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and

[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]

So, it is also incorrect.

3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.

Answer:

B.

Step-by-step explanation:

A =  C = 40°

40+40+ 4x = 180

4x = 100

x = 25°

Answer:

3,365 quilo

Step-by-step explanation:

Aqui, temos a tarefa de calcular os quilos de mantimentos coletados.

Para conseguir isso, o que fazemos é somar todos os quilos que temos aqui.

Matematicamente, isso representaria 1480 kg de açúcar + 1207 kg de açúcar + 678 kg de feijão = 1480 + 1207 + 678 = 3,365 kg de mantimentos

Answer:

449/198  or 2 53/198

Step-by-step explanation:

2. 2676767 = x

10x= 22. 67676767

1000x= 2267. 676767

1000x-10x= 2267.676767- 22.67676767

Answer:

Step-by-step explanation: First, create an equation that represents the repeating decimal that you want to convert to a fraction

x = 2.267267....      (1)

There are 3 repeating decimals, multiply both sides of the equation by 103 = 1000 so that both equations have the same repeating digits to the right of the decimal point

1000x = 2267.267267...      (2)

Subtract the equation (1) from equation (2)

1000x

x =

= 2267.267267...

2.267267...

999x = 2265

Solve for the x in the equation to determine the equivalent fraction.

x =

2265

999

Since the greatest common factor of 2265 and 999 is 3, we can simplify the fraction and show the same amount

2265

999

=

2265 ÷ 3

999 ÷ 3

=

755

333

Therefore, 755/333 is simplified fraction of 2.267 repeating. Since this is an improper fraction, converted to mixed number is:

755

333

= 2

89

333

Therefore, 2.267 repeating as a fraction is 755/333 and It is written as 2 89/333 in mixed number form.

Answer:

Option B is correct.

0.0166 is correct.

Step-by-step explanation:

The σrho is the standard error of the sample proportion and it is given as

σₓ = = √[p(1-p)/n]

where p = sample proportion = 55% = 0.55

n = sample size = 900

σₓ = = √(0.55×0.45/900) = 0.016583124 = 0.0166 to 3 s.f.

Hope this Helps!!!

Answer:

can be parallelogram as parallelogram has 2 pairs of parallel sides . this means angles of 2 sides will be the same

Answer:

i think is D

Step-by-step explanation:

because 2×7=21

3×21=63

and the parent still going

Answer:

its d

Step-by-step explanation:

its d cuz if you multiply 2 × 7 it will equal to 21

and then when you multily  them both youll

get 63   3×21=63

Answer:

<MPN is congruent to <Q because they both are corresponding angles while <N is self congruent because it is common in the two similar triangles.

Answer:

x = 55 degrees

Step-by-step explanation:

Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.

=> x = 180-75-50

=> x = 55 degrees

Answer:

55

Step-by-step explanation:

The sum of angles triangles will always be 180

75 + 50 is 135

180-35 = 55

Answer:

g(x) is always decreasing

Step-by-step explanation:

Step 1: Distribute

g(x) = 4 - (2x - 12)

g(x) = 4 - 2x + 12

Step 2: Combine like terms

g(x) = -2x + 16

Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output y will go lower.

Answer: she is 215m from her starting point

Step-by-step explanation:

The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.

Angle B = 28 + 90 = 118°

To determine AC, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes

AC² = AB² + BC² - 2(AB × BC)CosAC

AC² = 60² + 180² - 2(60 × 180)Cos118

AC² = 3600 + 32400 - 21600Cos118

AC² = 36000 - 21600(-0.46947156)

AC² = 36000 + 10140.59

AC² = 46140.59

AC = √46140.59

AC = 215 m