Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which statement best describes triangle P′Q′R′? It is similar to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is congruent to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is similar to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9). It is congruent to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9).

Answer:

First/Top graph.

Step-by-step explanation:

First, we need to solve the inequality for n:

-6n + 5 < 11 (Given)

-6n < 6 (Subtracted 5 on both sides)

n > -1 (Divided -6 on both sides)

NOTE: Whenever you multiply or divide by a negative number when dealing with inequalities, the sign switches.

Now that we know that n > -1, we need to look for a graph that has an open circle on the point -1 and goes in the right direction.

Therefore, the first graph is the correct answer.

Answer:

C. 27

Step-by-step explanation:

4s + t

4(5) +7

20 + 7

27

Answer:

Step-by-step explanation:

Time difference = -2 hours

Train arrival time:

Converting to Denver time:

Answer:

9:00 AM

Step-by-step explanation:

Answer:

n=-3.1

Step-by-step explanation:

2n+3=-3.2

2n=-6.2

n=-3.1

2n+3 =-3.2

2n= -3.2-3

2n= -6.2

n= -3.1

Answer:

$0.30

Step-by-step explanation:

Divide 4.50 by 15.

Step-by-step explanation:

Notice that 2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8...

The exponential function is y = 2^x.

Answer:Linear Algebra Examples ... Linear Algebra. Solve by Substitution y=x+3 , y=2x-1 ... Eliminate the equal sides of each equation and combine. ... Subtract 1 1 from 8 8 . ... The solution to the system of equations can be represented as a point.

Step-by-step explanation:

Answer:

El camión lleva 3000 cajas de patatas

Step-by-step explanation:

Proporciones

La capacidad de carga de un camión es de 68.25 Toneladas de patatas.

Como 1 tonelada es equivalente a 1000 Kg, expresamos la capacidad en Kg:

68.25 * 1000 = 68250 Kg

Cada caja de patatas pesa 22.75 Kg, luego el número de cajas que caben en el camión son:

68250/22.75 = 3000 cajas

El camión lleva 3000 cajas de patatas

Answer:

5 units

Step-by-step explanation:

im pretty sure i did the calculations right

Step-by-step explanation:

5 - 4 + 7x + 1 = 7x + 2.

If there are no solutions, then it is of the form 7x + c, where c is any real number besides 2.

If there is 1 solution, then it is of the form mx + c, where m is any real number besides 7 and c is any real number.

If there are infinitely many solutions, then it is of the form 7x + 2.

Answer: $1225.50

Step-by-step explanation:

Purchase price = $1075

Discount Percent = 14%

Discount = 14% × $1075

= 0.14 × $1075

= $150.50

Marked price = Purchase price + Discount

= $1075 + $150.50

= $1225.50

Answer:

15s + 25c is less than or equal to (the sign that’s pointing left with the aural sign under it) 1500

also d lol

Step-by-step explanation:

the stools are s and each stool cost 15$ same thing with chairs. the chairs are c and they cost 25$, they have to equal or be less than 1500$

Answer:

7.3 or 7 hours.

Step-by-step explanation:

So i divided 58.4 by 8. And got 7.3.

8 x (7) = 56. So, 58 - 56 = 2. Put the decimal up. Now, 8 x (3) = 24. So, now you should have 7.3. But you could round it to 7. Depends.

Answer:

x + 6

Step-by-step explanation:

5x-3(x-2)-x

5x-3x+6-x

5x-3x-x+6

x+6

This question is incomplete

Complete Question

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is :

Answer:

31 kg

Step-by-step explanation:

From the above question:

A ,B and C average is 45.

Hence, the total values of A, B, C is calculated as:

A + B + C /3 = 45

A + B + C = 45 × 3

A + B + C = 135

Also,

B and C average is 43

The total values of B, C is calculated as:

B + C /2 = 43

B + C = 43 × 2

B + C = 86

A and B average is 40

The total values of A, B is calculated as:

A + B /2 = 40

A + B = 40 × 2

A + B = 80

Hence:

A + B + C = 135

B + C = 86

A + B = 80

Hence, we can solve for A, we substitute 80 for A + B

80 + C = 135

C = 135 - 80

C = 55kg

B + C = 86

B + 55 = 86

B = 86 - 55

B = 31 kg

Step-by-step explanation:

The factors are x + 2 and x + 6.

Answer:

90

Step-by-step explanation:

Given that :

Number of soldiers = 8160

Number left out = 60

Result of arrangement gives a perfect square ;

Hence, the number of soldiers which makes up the arrangement will be ;

Total number of soldiers - number left out

8160 - 60 = 8100

Hence 8100 soldiers were used to form a perfect square ;

Number of soldiers in a row :

√8100 = 90

Hence, we have 90 soldiers in a row

Answer:

the unit price that required is $30.60

Step-by-step explanation:

The computation of the unit price that required is shown below

For one mile, the cost is

= taxi ride cost ÷ distance covered

= $50.40 ÷ 56

= $0.90

Now for the cost of 34 mile taxi ride

= Unit cost × distance covered

= $0.90 × 34 mile

= $30.60

hence, the unit price that required is $30.60

We simply applied the above formula so that the correct cost could come

The same is to be considered

Answer:

70 km

Step-by-step explanation:

[tex]\frac{3.5 cm}{x km}[/tex] = [tex]\frac{1cm}{20km}[/tex]

x = (3.5 cm × 20 km) ÷ 1 cm = 70 km

Answer:

70 km

Step-by-step explanation:

Answer:

1 and 5

Step-by-step explanation:

only 1*5 equals 5

Answer:

find the classmark of each interval

do the same up to (190+200)/2

then

draw a graph by using frequently (number of weeks) on y-axis against classmark on x-axis

Answer:

The marked price of the smart phone is Rs 15,000.

Step-by-step explanation:

We proceed to explain step by step how to determine the marked price of the  smart phone:

1) Divide the resulting price by the VAR factor:

[tex]C' = \frac{C''}{1 + \frac{r}{100} }[/tex] (1)

Where:

[tex]C''[/tex] - Resulting price, measured in rupees.

[tex]C'[/tex] - Price of the product after discount, measured in rupees.

[tex]r[/tex] - VAT rate, measured in percentage.

If we know that [tex]C'' = 15,255\,INR[/tex] and [tex]r = 13[/tex], then the price of the product after discount is:

[tex]C' = \frac{15,255\,INR}{1+\frac{13}{100} }[/tex]

[tex]C' = 13,500\,INR[/tex]

2) Divide the price of the product after discount by the discount factor:

[tex]C = \frac{C'}{1-\frac{r'}{100} }[/tex] (2)

Where:

[tex]C[/tex] - Marked price of the product, measured in rupees.

[tex]r'[/tex] - Discount rate, measured in percentage.

If we know that [tex]C' = 13,500\,INR[/tex] and [tex]r' = 10[/tex], then the marked price of the product is:

[tex]C = \frac{13,500\,INR}{1-\frac{10}{100} }[/tex]

[tex]C = 15,000\,INR[/tex]

The marked price of the smart phone is Rs 15,000.

Answer:

t^8

Step-by-step explanation:

t^4 times t^4

exponents you add.

4 + 4 = 8

t^8

Answer:

wait I am solving. oklllllk

Answer:

ZA=85 ZB=85

Step-by-step explanation:

Answer:

i believe its c

Step-by-step explanation:

Answer:

x= 12°

Step-by-step explanation:

The angle measures in the triangle are given as;

A = 4x  

B= 5x

C= 6x

The sum of angle measures in a triangle add up to 180°

Applying the statement in an equation as;

4x + 5x + 6x = 180°

15x = 180°

x= 180° / 15

x = 12°

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D