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The rectangle below is dilated by a scale factor of 3/2. Find the area of the dilated rectangle.

Answer:

slope = - 2, y- intercept = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

m = [tex]\frac{-1-5}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

The y- intercept is the point on the y- axis where the line crosses

The y- intercept = 5

Answer:

27 minutes

Step-by-step explanation:

please check the image it has all the steps to solve it . Thank you.

Answer:

It must be C.

Step-by-step explanation:

x² - 9 = 16

=> 16 + 9 = x²

=> 25 = x²

=> x = 5

Referring to the options, C is the only one that is accurate to me. Hoped this helped.

Answer:

$2016

Step-by-step explanation:

Simple Interest equation: I = Prt

So,

P = $4800

r = [tex]\frac{7}{100}[/tex] = 0.07

t = 6

I = (4800) · (0.07) · (6)

Thus,

The simple interest is $2016.

A system of equations is simply a system that contains related equations of multiply variables

It took 5 seconds for the adults to go 20 yards and catch up to the kids

Let x represents the time of the race

The kids started 15 yards ahead, and they raced at 1 yard per second.

So, the kids' equation is represented as: [tex]\mathbf{k =15 + x}[/tex]

The adults' raced at 4 yards per second.

So, the adults' equation is represented as: [tex]\mathbf{a =4x }[/tex]

When they are side by side, we have the following equivalent equation

[tex]\mathbf{4x = 15 + x}[/tex]

Subtract x from both sides

[tex]\mathbf{3x = 15}[/tex]

Divide both sides by 3

[tex]\mathbf{x = 5}[/tex]

It means that, it took the adults 5 seconds to catch up with the kids

Substitute 5 for x in any of the equations to calculate the distance travelled.

[tex]\mathbf{a =4 \times 5}[/tex]

[tex]\mathbf{a =20}[/tex]

It means that, the adults catch up with the kids at 20 yards

Read more about systems of equations at:

https://brainly.com/question/12895249

Answer:

The adults went 123 yards and caught up to the kids in 41 seconds

Step-by-step explanation:

ixl :)

Answer:

Zero

Step-by-step explanation:

The question is impossible to answer. 501+5 does not equal 551, 501+5 equals 506.

Answer:

15h+10n

Step-by-step explanation:

You forgot to list the equations.

10 * n = 10n = $ paid for amount of televisions sold

15 * h = 15h = $ paid for hours worked

15h + 10n = Total amount paid

The answer for n television sold and h hours working is 15h  +10n.

Expression:

An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations

Given that

Cliff earned for one hour = $15

Therefore for h hours = 15h

Also he earned additional for each television sold = $10

Therefore for n television sold = 10n

Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.

Therefore the total earning is the addition of both

15h + 10n

The final answer is 15h + 10n

Learn more about expression here-

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Answer:

8

Step-by-step explanation:

4+4 =8

Answer:

y = 8

Step-by-step explanation:

To find this simply you have to put values instead of x and y,

For an example,

If the value of x is 1, you have to put 1 instead of x to the equation to find the value of y,

x = 1,

y = x + 4

y = 1 + 4

y =  5

In the same way, you can find the value of y when the value of x is 4.

x = 4,

y = x + 4

y = 4 + 4

y = 8

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

yes it is

Step-by-step explanation:

40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.

Since a grower wishes to mix a one peso per gram chemical with 80 cent per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 cent a gram, to determine how many grams of each price of chemical should he use you must perform the following calculation:

Therefore, 40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.

Learn more in https://brainly.com/question/1012696

Answer:

16 road trips

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.

For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that at least one household has a television set is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]

0.99999984 = 99.999984% probability that at least one household has a television set.

A similar problem is given at https://brainly.com/question/24863377

we have f (x)= -3x + 10

so f(-5)= (-3)(-5) +10 = 15 + 10 = 25

we have g (x) = x^2 - 7x

so g(2)= 2^2 - 7.2 = 4 - 14 = -10

we have f (x)= -3x + 10

so f(4m)= -3(4m)+10 = -12m + 10

ok done. Thank to me :>

Answer:

  State A loses a seat to State B when the total is increased

Step-by-step explanation:

The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.

The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).

If the whole number is 1 or greater, the number of seats allocated at least that whole number.

If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.

__

The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.

When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.

_____

Additional comment

Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.

Answer:

x = 3

Step-by-step explanation:

In a parallelogram the diagonals bisect each other , then

6x + 11 = 5x + 14 ( subtract 5x from both sides )

x + 11 = 14 ( subtract 11 from both sides )

x = 3

Answer:

1st part:

0.65= 13/2

0.425=4251000

9.35=9 7/20

2nd part:

19/25= 0.76

311/500=0.622

5/8=0.625

14 3/5=14.6.

Step-by-step explanation:

hope this helped good luck!<3

Answer:

SAS || Side - Angle - Side

Step-by-step explanation:

You have 2 sets of congruent sides, and one set of congruent angles between them. (SAS)

That angle is congruent because ∠QRP and ∠TRS are vertical angles, and vertical angles have the same measurement.

Answer:

x < -2

Step-by-step explanation:

2(x+4)<2-x

2x+8<2-x

+x        +x

3x+8<2

   -8  -8

3x<-6

x<-2    Divide both sides by 3

Hope this helps!

Answer:

2x+8<2-x

8-2<-x-2x

-3x>6

x>6/3

x<2

Step-by-step explanation:

I think it's smtg like this

Answer:

son 26 age

Father 58 age .........

Answer:

the only number would be 5

Step-by-step explanation:

5 is the first and only prime multiple of 5

There are only ''one'' prime number are multiples of 5.

What is Prime number?

Prime numbers are number that have only two factors, 1 and themselves.

Given that;

The prime numbers multiples of 5.

Now,

The multiples of 5 = 5, 10, 15, 20, 25, ...

But there are only one prime number (that is; 5) which are multiple of 5.

Thus, There are only ''one'' prime number are multiples of 5.

Learn more about the prime number visit:

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Answer:

x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.

Step-by-step explanation:

→ Substitute x = -6 into f ( x )

( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8

→ Simplify

216 - 108 + 12 - 8

→ Simplify further

112

Answer:

242.975609756

Step-by-step explanation:

Answer:

242.975

Step-by-step explanation:

TIP: u can use a calculator if your teacher allows you, it would be faster :)

Answer:

45

Step-by-step explanation:

15+15+15=45

that would increase her practice time by 45 minutes

The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7

Number of cards from previous card = 7

Number of cards per cardstock purchased = 10

Let :

Number of cardstocks purchased = x

Total Number cards made = y

The total number of cards made, y can be expressed thus :

(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards

This means :

y = 10x + 7

Therefore, the required equation is y = 10x + 7

Answer:

p(0)= -7

Step-by-step explanation:

Answer:

-5/6

Step-by-step explanation:

1. Change 3/4 to 6/8 by cancelling the common factors.

2. Divide how you normally would

Answer:

- [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

-3[tex]\frac{1}{8}[/tex] ÷ 3[tex]\frac{3}{4}[/tex]

[tex]\frac{-25}{8}[/tex] ÷ [tex]\frac{15}{4}[/tex]

[tex]\frac{-25}{8}[/tex] × [tex]\frac{4}{15}[/tex]

[tex]\frac{-100}{120}[/tex]

[tex]\frac{-50}{60}[/tex]

- [tex]\frac{5}{6}[/tex]

* Keep in mind that - [tex]\frac{5}{6}[/tex], [tex]\frac{-5}{6}[/tex], and [tex]\frac{5}{-6}[/tex] mean the same thing!

First, I converted -3 1/8 and 3 3/4 to improper fractions. I then switched the sign of division to multiplication and changed 15/4 to 4/15. I then multiplied -25 with 4 and 8 with 15, resulting in -100/120. I simplified this to -5/6.

Hope this helps, and if you have any questions, let me know!

Answer:

my sample ka

Step-by-step explanation:

bigyan mu ako para masagot ko ang tanong nayan.

Answer:

22.5

Step-by-step explanation:

50%of5+20%=22.5

50/100×5=2.5

2.5+20=22.5%

Answer:

3 gallons

Step-by-step explanation:

10=100 percent

10/5 =2

5-2=3

3 gallons