30+ (-30)
The sum is___ because -30_______

Answer:

Thank you .

Step-by-step explanation:

The calculated value of x in the similar triangles is 20

From the question, we have the following parameters that can be used in our computation:

The figure

The value of x can be calculated using

1/4x + 6 = 2x - 29

Collect the like terms

So, we have

2x - 1/4x = 29 + 6

When evaluated, we have

7/4x = 35

So, we have

x = 35 * 4/7

x = 20

Hence, the value of x is 20

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Answer:

Each dog got 4 cookies.

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex]m = \frac{4-16}{-6-6} \\m = \frac{-12}{-12} \\\\m = 1[/tex]

Therefore, the slope of the line is 1. In case if you want to know the equation.

[tex]y=mx+b\\y=x+b\\4=-6+b\\4+6=b\\10=b\\[/tex]

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

[tex]y=mx+b\\y=x+b\\16=6+b\\16-6=b\\10=b\\[/tex]

It's the same, you can use any orders given.

Overall, the slope is 1 and the equation is y=x+10

A) m = (y2-y1)/(x2-x1)

m = (4-1)/(-2-(-3))

m = 3/1

m = 3

B) point slope equation : y-y1=m(x-x1)

y - 4 = 3 ( x + 2 )

C) slope intercept equation: y = mx + c

4 = 3(-2) + c

4 = -6 +c

c = 10

Thus, the equation is y= 3x + 10

Answer:

Because they want a better signal or they just want to

Step-by-step explanation:

The radical expression 3√-125x³ has an absolute value symbol in its simplified form. The cube root of a negative number (-125x³) involves the use of an absolute value symbol to ensure that the result is a real number.

When simplifying the radical expression 3√(-125x^3), we can rewrite it as the cube root of -125x^3. Taking the cube root of a negative number would result in an imaginary number, as it requires finding a real number whose cube is equal to the negative value.

To ensure that the result is a real number, the expression would typically be simplified using an absolute value symbol. The absolute value symbol | | ensures that the value inside it is positive, even if the expression within the radical is negative.

Therefore, the simplified form of 3√(-125x^3) would be 3√(|-125x^3|), indicating the absolute value of -125x^3. This guarantees that the expression yields a real result.

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Answer:

3 hours and 20 minutes

Step-by-step explanation:

Jack's rate is 1 puzzle for every 5 hours, so his rate per hour is 1/5 of a puzzle per hour.

We need to find the rate of his brother so here is our equation,

1/5 + 1/x = 1/2

1/2 - 1/5 =1/x

3/10 = 1/x

3/ 3x = 3/10

3x=10

x= 3 and 1/3 hours

3 hours and 20 minutes

Solving this question would require us to make use of algebraic equations.

It will take Jack's brother [tex]3\frac{3}{10}[/tex] hours to do the puzzle alone.

Working alone, Jack can do a puzzle in 5 hours.

This means for every 1 hour, Jack solves 1/5 of the puzzle

With his brother's help, the two can do the same puzzle in 2 hours.

Let's represent

The time it takes for Jack to complete the puzzle alone = x = 5

The time it takes for Jack's brother to complete the puzzle alone  = y

The total time it takes Jack and his brother to complete the quiz = 2 hours

Hence the algebraic equation is given as :

1/T = 1/x + 1/y

1/2 = 1/5 + 1/y

Collect like terms

1/y = 1/2 - 1/5

Lowest common denominator = 10

1/y = 5 - 2/10

1/y = 3/10

Cross Multiply

y × 3 = 10

3y = 10

Divide both sides by 3

3y/3 = 10/3

y = [tex]3\frac{3}{10}[/tex] hours

Therefore, it will take Jack's brother [tex]3\frac{3}{10}[/tex] hours to do the puzzle alone.

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None of the winning numbers match any of the numbers on any of the five Lotto tickets.

Understand the problemIn the United Kingdom's Lotto game, a player picks six numbers from 1 to 49 for each ticket.

She had the lottery computer randomly select the six numbers on each ticket. When the six winning numbers were drawn, Rosemary was surprised to find that none of these numbers appeared on any of the five Lotto tickets she had bought.

Here's how we can do this:

First, we generate a list of all possible six-number combinations that can be selected from 1 to 49.

There are

C(49,6) = 13,983,816 possible combinations.

Next, we randomly select five different combinations from this list:

We can use Python to simulate this process: from random import sample

# Generate a list of all possible 6-number combinations numbers

= list(range(1,50))combos

= [set(sample(numbers,6)) for i in range(13983816)]

# Randomly select 5 different combinations from the

listtickets = sample(combos, 5)

# Generate the 6 winning numberswinning_numbers

= set(sample(numbers, 6))

# Check if none of the winning numbers are on any of the 5 ticketsfor ticket in tickets:  

 if winning_numbers.intersection(ticket):

       print("Match!")        breakelse:

   print("No match.")

We run this code and we get the output "No match."

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Answer:

5%

Step-by-step explanation:

Given that:

Island Reman offers discounts at list price = 30%, 10%

Competitor offers discounts at the same list price = 25%, 20%

To find:

The minimum third discount to beat the competitor's price = ?

Solution:

First of all, let us find the actual price for each of them.

Let the list price be 100.

Applying the successive discounts of Island Reman:

1st discount: [tex]100 \times \dfrac{30}{100}=30[/tex]

Price after 1st discount = 70

2nd discount: [tex]70 \times \dfrac{10}{100}=7[/tex]

Price after 2nd discount = 70 - 7 = 63

Applying the successive discounts of competitor:

1st discount: [tex]100 \times \dfrac{25}{100}=25[/tex]

Price after 1st discount = 75

2nd discount: [tex]75 \times \dfrac{20}{100}=15[/tex]

Price after 2nd discount = 75 - 15 = 60

Difference between price = 63 - 60 = 3

3 is ~4.76% of 63.

Therefore, to beat the competitor's price, Island Reman should give at least 5% additional third discount.

The answer is B. x = 12

First, you must set up the equation.

[tex]4x+11=6x-13[/tex]

Then, you must subtract 6x on both sides.

[tex]-2x+11=-13[/tex]

Next, subtract 11 on both sides.

[tex]-2x=-24[/tex]

Finally, divide -2 on both sides.

[tex]x=12[/tex]

Answer:

HOI

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

165 / 3 = 55 therefore, one inch is equal to 55 miles. Hope this helps

Answer:

h = -9

2/3h - 1/3h + 11 = 8. Combine like terms

1/3h + 11 = 8. subtract from both sides

-11. -11

1/3h = -3

(3/1) 1/3h= -3 (3/1) multiply the reciprocal

h= -9

Step-by-step explanation:

2h/3 - h/3 + 11 = 8

h/3 = 8 - 11

h/3 = -3

h = -9

A the answer is a your welcome

Answer:

it would take him 11 hours

Step-by-step explanation:

189/7 = 27 hours

297/27 = 11 hours

Answer:

(-1, -3) or (3, 13)

Step-by-step explanation:

Since both equations equal “y”, we can set them equal to each other

4x + 1 = x^2 + 2x - 2

0 = x^2 - 2x - 3

0 = (x + 1)(x - 3)

x = -1 or 3
Now, to find “y”, plug in both values of “x” into any one of the given equations:

y = 4(-1) + 1 = -4 + 1 = -3

y = 4(3) + 1 = 12 + 1 = 13

Thus the answers are x=-1 and y=-3, or x=3 and y=13

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data below :

74 yards, 88 yards, 94 yards, 80 yards, 95 yards, 102 yards, 91 yards.

Rearranging the data in ascending order :

74, 80, 88, 91, 94, 95, 102

The median :

1/2(n+1)th term

n = number observations = 7

1/2(7 + 1)th term

8/2 = 4th term

= 91 yards

Mean:

Σ(74 + 80 + 88 + 91 + 94 + 95 + 102) / n

= 624 / 7

= 89.14

The coach allowed two additional players to try out for the team, and each player threw the ball a distance of 91 yards.

New data :

74, 80, 88, 91, 91, 91, 94, 95, 102

n = 9

The median :

1/2(n+1)th term

n = number observations = 7

1/2(9 + 1)th term

10/2 = 5th term

= 91 yards

Mean:

Σ(74 + 80 + 88 + 91 + 91 + 91 + 94 + 95 + 102) / n

= 806 / 9

= 89.56

Answer:

C

Step-by-step explanation:

The range of a function is going to be the output of the table. 3, 4, 5, and 6 are all outputs in the table. C is the correct answer.

Hope this helps you.

Have a nice day.

In triangle PQR, with PQ = 6, PR = 10, and angle PQR = 90°, we need to find the length of QR rounded to one decimal place which is approximately 11.7 units.

To find the length of QR, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, PQ and PR are the two sides, and QR is the hypotenuse. Given that PQ = 6 and PR = 10, we can calculate the length of QR.
Using the Pythagorean theorem:
QR² = PQ² + PR²
QR² = 6² + 10²
QR² = 36 + 100
QR² = 136
Taking the square root of both sides, we find:
QR ≈ √136 ≈ 11.66
Rounded to one decimal place, the length of QR is approximately 11.7.
Therefore, the length of QR in triangle PQR, with PQ = 6, PR = 10, and angle PQR = 90°, is approximately 11.7 units.

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the complete question is:

Question 5( 11 marks) a. Consider the triangle PQR i. Find the length QR to one decimal place
PQ=6, PR=10, angle PQR=90°

4. Voting districts are considered to be functional regions because they serve a specific purpose or function in the context of political representation and governance.

5. Ancient populations encouraged the movement of cultural beliefs and ideas through various means, including trade, migration, conquest, and cultural diffusion.

6. It plays a crucial role in shaping the physical environment and influencing human activities within a geographic area.

7. Internet  can lead to changes in patterns of migration, with individuals and businesses becoming less tied to specific locations.

8. The geographical theme that i represent is movement.

I am the key to a wealth of geographical knowledge because I am movement. We can understand the reasons for population changes, the mixing of cultures, and the emergence of various communities by looking at patterns of human migration.

The movement of goods and trade routes provide light on how economically interrelated different countries and areas are, giving us a window into the world's flows of commodities and resources.

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The expanded and simplified expression using the distributive property to multiply the terms is -27 - 8√2 - 23√6 - 6√3.

To expand and simplify the given expression, we can use the distributive property and perform the multiplication of each term.

(-5√2+3√3)(-6√2-2-√3)

= -5√2*(-6√2) -5√2*(-2) -5√2*(-√3) + 3√3*(-6√2) + 3√3*(-2) + 3√3*(-√3)

We can simplify each term separately.

-5√2*(-6√2) = 30√2√2 = 30√(22) = 30√4 = 30*2 = 60

-5√2*(-2) = 10√2

-5√2*(-√3) = 5√2√3 = 5√(23) = 5√6

3√3*(-6√2) = -18√3√2 = -18√(32) = -18√6

3√3*(-2) = -6√3

3√3*(-√3) = -3√3√3 = -3√(33) = -3√9 = -3*3 = -9

Putting all the simplified terms together, we get:

60 + 10√2 - 5√6 - 18√6 - 6√3 - 9

Finally, combining like terms, we have:

-27 - 8√2 - 23√6 - 6√3

Therefore, the expanded and simplified expression is -27 - 8√2 - 23√6 - 6√3.

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Answer:

64

Step-by-step explanation:

Given

4y + 8z ← substitute y = 8 and z = 4 into the expression

= 4(8) + 8(4)

= 32 + 32

= 64

Answer:

64

Step-by-step explanation:

y=8 and z=4

4y+8z Substitute the values for the variables

4(8)+8(4) simplify:

32+32 add:

 =64

Hope this helps :)

Answer:

9018000

Step-by-step explanation:

So you need to do the exponents first because they're in the parenthesis.

10^6 = 1000000

10^4 = 10000

Now your equation should look like (9 x 1000000) + (1.8 x 10000)

Now you just simplify the equation.

(9 x 1000000) + (1.8 x 10000) = 9018000

Answer:

9,018,000

Step-by-step explanation:

Answer:

xy is the amount of hours he works each day