Use the distributive property to clear parentheses.

-6(3x+4)

Answer:

A) LM || NO

Step-by-step explanation:

In a trapezoid one pair of opposite sides is always parallel.

Here, in the given figure, LM is parallel to NO

A) LM || NO is the correct answer.

Answer:

[tex](-1,\frac{17}{6})[/tex]

[tex](3,\frac{3}{2})[/tex]

[tex](-5,\frac{25}{6})[/tex]

Step-by-step explanation:

The given equation is [tex]2x+6y=15[/tex]

We substitute the ordered pairs to see which ones satisfies the equation.

For (-1,-8), we put x=-1 and y=-8 to get:

[tex]2(-1)+6(-8)=^?15[/tex]

[tex]-2+-48=^?15\\-50=^?15[/tex]

This is not true.

For [tex](-1,\frac{17}{6}))[/tex] we put x=-1 and [tex]y=\frac{17}{6}[/tex] to get

[tex]2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15[/tex]

This is true

For (3,3/2) we have 2(3)+6(3/2)=15

This implies 6+9=15

15=15

This is also True

For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15

This is also true.

(1) ∠ABC = 65°, ∠DBE = 65°, ∠CBE = 115°, ∠ABD = 115°

(2) ∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°

Solution:

(1) In the given image ABC and DBE are vertical angles.

Vertical angle theorem:

If two angles are vertical then they are congruent.

⇒ ∠ABC = ∠DBE

⇒ 3x° + 38° = 5x° + 20°

Arrange like terms one side.

⇒ 38° – 20° = 5x° – 3x°

⇒ 18° = 2x°

⇒ x° = 9°

∠ABC = 3(9°) + 38° = 65°

∠DBE = 5(9°) + 20° = 65°

Adjacent angles in a straight line = 180°

⇒ ∠ABC + ∠CBE = 180°

⇒ 65° + ∠CBE = 180°

⇒ ∠CBE = 115°

∠ABD and ∠CBE are vertical angles.

∠ABD = 115°

(2) In the given image ABC and DBE are vertical angles.

⇒ ∠ABC = ∠DBE

⇒ 4x° + 2° = 5x° – 13°

Arrange like terms one side.

⇒ 13° + 2° = 5x° – 4x°

⇒ 15° = x°

∠ABC = (4(15°) + 2°) = 62°

∠DBE = 5(15°) – 13° = 62°

Adjacent angles in a straight line = 180°

⇒ ∠ABC + ∠CBE = 180°

⇒ 62° + ∠CBE = 180°

⇒ ∠CBE = 118°

∠ABD and ∠CBE are vertical angles.

∠ABD = 118°

0.486 % of world population lives in canada

Solution:

From given,

World population = 7691 million

Canada population = 37.4 million

We have to find the percent of world population lives in canada

Let "x" be the percent of world population lives in canada

Therefore, from question,

x % of world population = canada population

x % of 7691 = 37.4

Solve the above equation for "x"

[tex]x \% \times 7691 = 37.4\\\\\frac{x}{100} \times 7691 = 37.4\\\\7691x = 3740\\\\Divide\ both\ sides\ by\ 7691\\\\x = \frac{3740}{7691}\\\\x = 0.486[/tex]

Thus 0.486 % of world population lives in canada

Answer:

About 191 people

Step-by-step explanation:

Given:

On the subway 8 out of 11 people are carrying a briefcase.

There are 700 people on the subway.

Question asked:

About how many people do not have a briefcase ?

Solution:

By applying unitary method:

Out of 11 people, number of people having  briefcase = 8

Out of 1 , number of people having  briefcase = [tex]\frac{8}{11}[/tex]

Out of 700 people, number of people having  briefcase = [tex]\frac{8}{11} \times700\\[/tex]

                                                                                             = [tex]\frac{5600}{11}[/tex]

Number of people not having  briefcase = [tex]700 -[/tex][tex]\frac{5600}{11}[/tex]

                                                                   = [tex]\frac{7700-5600}{11}[/tex]

                                                                   = [tex]\frac{2100}{11}[/tex] = [tex]190.90[/tex]

Therefore, about 191 people  do not have a briefcase on the subway.

Final answer:

To find how many people do not have a briefcase out of 700, calculate the number of people with a briefcase and then subtract that from the total.

Explanation:

On the subway 8 out of 11 people are carrying a briefcase. This can be represented as 8/11 of the people have a briefcase. To find out how many people do not have a briefcase out of 700 people, we can first calculate the proportion that have a briefcase and then subtract that from the total.

To find the number of people with a briefcase:

Proportion with briefcase: 8/11

Number with briefcase out of 700: (8/11) x 700 = 509.09 (round down to 509)

Therefore, the number of people without a briefcase would be: 700 - 509 = 191 people.

Answer:

10% of 60 means (10 X 60)/100 so the answer is 6. Similarly 5% of 60 means (5 X 60)/100 , So the Answer is 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To figure out which value of y makes this true, plug in each option:

y = 8

25 - y < 15       Plug in 8 for y

25 - 8 < 15

17 < 15      This is false because 17 is not less than 15

y = 9

25 - y < 15     Plug in 9 for y

25 - 9 < 15

16 < 15     This is false because 16 is not less than 15

y = 10

25 - y < 15       Plug in 10 for y

25 - 10 < 15

15 < 15    This is false because 15 can't be less than itself (15)

y = 11

25 - y < 15     Plug in 11 for y

25 - 11 < 15

14 < 15       This is true because 14 is less than 15

Your answer is D

Answer:

B. R/3

Step-by-step explanation:

Well, first off, any ameteur who read the question once would know he is INCORRECT, this is because you can easily see he's dividing it by 3 not 6 like you should be, so 2.99 divided by 6 is 0.498333 ( continuing ) so since this must be rounded to the nearest hundredth, so, 50 cents per bottle.

So question 1: No, because he divided with the incorrect numbers.

Question 2:( I actually don't understand this question, cause we just established he was wrong ) so since I don't understand this one, imma say no, or meh.

CORRECT unit rate: 50 cents per bottle.

Hope this helps, if not, comment below please!!!!

Based on a sample of 60 students, where 8 have more than 3 siblings, approximately 112 students out of 840 at Showton Middle School are estimated to have more than 3 siblings.

If there are 840 students at the school, we can use this sample to estimate the total number of students likely to have more than 3 siblings across the entire school population. This is a problem related to proportions within a population.

To make this estimation, we need to set up a proportion based on the sample data:

Now we can set up a proportion:

(number of students with >3 siblings) / 840 = 8 / 60

We solve for the unknown number of students with more than 3 siblings by cross-multiplying:

(number of students with >3 siblings) * 60 = 8 * 840

(number of students with >3 siblings) = (8 * 840) / 60

(number of students with >3 siblings) = 112

Therefore, based on Teresa's sample, approximately 112 students at Showton Middle School are likely to have more than 3 siblings.

Answer:

12a + 24 = 6(2a + 4) is the equivalent expressions

Step-by-step explanation:

Given the terms ; 4, 12a, 6, 2a, and 24

There are two terms with unknown = 12a and 2a

but 12a = 2a x 6 .........(1)

from the last term = 24 = 6 x 4 ...........(2)

add both equation 1 and 2 = 12a + 24

12a + 24 = 6(2a + 4) is the equivalent expressions .

to VERIFY; Use a = 2

substitute into the expression ; LHS = RHS

= 12(2) + 24 = 24 + 24 = 48 (LHS)

FOR RHS = 6(2a+4) = 6(2x2 + 4)

= 6(4+4) = 48

Hence LHS = RHS

Hey there!

To solve for x, you must isolate the x term. To do so, first add 13y to both sides so you can leave 3x isolated on one side:

3x - 13y + 13y= 2 + 13y

3x= 2 +13y

Now, divide both sides by 3 to isolate the x variable and get your final answer:

(3x)/3 = (2 + 13y)/3

x = [tex]\frac{2 + 13y}{3}[/tex]

The equation could also be written as  x= [tex]\frac{2}{3}+\frac{13y}{3}[/tex] if you choose to separate the 2 and 13y.

I hope this helps!

Answer:

[tex]x = \frac{2 + 13y}{3} \\ [/tex]

Step-by-step explanation:

[tex]3x - 13y = 2 \\ 3x = 2 + 13y \\ \frac{3x}{3} = \frac{2 + 13y}{3} \\ x = \frac{2 + 13y}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Consider the ratio of the x and y- coordinates, image to original, that is

scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

I think the slope is zero

Answer:

The slope is 0.

Step-by-step explanation:

If the slope line is straight with the x-axis, its 0.

If the slope isnt going straight on x nor y-axis, it had a slope of anything greater or less than 0, but not 0.

Answer:$493.33

Step-by-step explanation:

$373.75  Terry paid per month.

A division is a process of splitting a specific amount into equal parts.

Given that Terry shared an apartment with three other people. .

The total number of people is 4.

Each person paid an equal share of the rent. Together they paid $1495.00 per month.

We have to find the Terry pay per month.

To find this we have to divide $1495.00/4

$373.75

Hence, $373.75  Terry paid per month.

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Check the picture below.

Answer:

a. a side length is (a+8)

b. a=9. (9+8)= 17

17×4= 68 is the perimeter

Answer:

90

Step-by-step explanation:

"The answer is 90.

To round 86 to the nearest ten, one must look at the digit in the ones place, which is 6 in this case. Since 6 is greater than or equal to 5, the number in the tens place is increased by one. The digit in the tens place is 8, so when it is increased by one, it becomes 9. Therefore, 86 rounded to the nearest ten is 90."

The actual perimeter of the park is 251 meters

Solution:

Given that, perimeter of a park is 0.251 meters

The actual perimeter of the park is 1,000 times as large

To find: Actual perimeter of park

From given,

Actual perimeter of park = 1,000 times as large as perimeter of park

Here, "times" means multiplication

Actual perimeter of park = 1000 x perimeter of a park

Actual perimeter of park = 1000 x 0.251

Actual perimeter of park = 251

Thus the actual perimeter of the park is 251 meters

Answer:

The modal temperature last year is 11 (March and November)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

A year ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

                     9    10     11   14    19     22  27  29   21    18    11   6

2 years ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

                      7     11     10   13    17     23  25  25    20   18  12  9

2. What was the modal temperature last year?

Let's recall the mode of a data set is the number that occurs most frequently in the set. The number that occurs the most in the average temperatures last year is 11 (March and November) and 2 years ago is 25 (July and August)                  

Answer:

IV. 2(1-2) + 2(w-2)+4

Step-by-step explanation:

III. 2l + 2w - 4

Answer Option C

Step-by-step explanation:please see attachment for explanation

Answer:

C

Step-by-step explanation:

Each element in B is subtracted from the corresponding element in A, that is

A - B

= [tex]\left[\begin{array}{ccc}3-4&-7-(-1)\\6-0&1-8\\-8-(-5)&5-3\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-1&-6\\6&-7\\-3&2\end{array}\right][/tex] → C

Answer:

5 4 3 2 1

Step-by-step explanation:

is this what ur asking

The answer is 3. Counting backwards (In this case) would be 5, 4, 3, 2, 1. After 4, when counting backwards, comes the Number 3. So, your answer is 3.

The future value of a condominium bought for $145,000 with a 5% annual appreciation over 5 years is calculated using the compound interest formula, resulting in a value of approximately $185,061.

The question is asking us to calculate the future value of an investment in real estate, specifically a condominium that was bought for $145,000 with an annual appreciation rate of 5% over a span of 5 years. To find the value of the condo in 5 years, we use the formula for compound interest, which is:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A is the amount of money accumulated after n years, including interest.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for in years.

Since the appreciation is compounded annually, n is 1. So, we can simplify the formula to:

[tex]A = P(1 + r)^t[/tex]

Substituting the given values:

[tex]A = $145,000(1 + 0.05)^5[/tex]

Now, let's calculate the future value:

[tex]A = $145,000(1.05)^5[/tex]

A = $145,000(1.2762825)

A ≈ $185,061

The condominium will be worth approximately $185,061 in 5 years.

[tex]y = \frac{-8}{3}x + 10[/tex] is the equation in slope intercept form

Solution:

Given points are (0, 10) and (3, 2)

We have to find the slope intercept form

Let us first find the slope of line

The slope of line is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex](x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)[/tex]

Substituting the values we get,

[tex]m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}[/tex]

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Substitute [tex]m = \frac{-8}{3}[/tex] and (x , y) = (0, 10) in eqn 1

[tex]10 = \frac{-8}{3} \times 0 + c\\\\c = 10[/tex]

[tex]Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1[/tex]

[tex]y= \frac{-8}{3}x + 10[/tex]

Thus the equation of line in slope intercept form is found

7-3=4 feet per hour

50 : 4 = 12,5  hour

The time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.

It is given that a well has a depth of 50 feet and a frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.

We have to find out what time will it take for frog to get out of the well ?

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

The frog starts from the bottom of the well.

It is given that the well has a depth of 50 feet.

Frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.

Let's check distance covered by frog in 2 hours ;

1st hour = 7 feet

2nd hour = 7 - 3 = 4 feet

So ,

In 2 hours frog covers a distance of 4 feet.

Hence ,

To climb 44 feet or 4 × 11 feet , the frog will take 2 × 11 or 22 hours

and

To climb rest of 6 feet distance , the frog would take [tex]\frac{6}{7}[/tex] of an hour.

Also ;

It is needed to be mentioned that once the frog reaches at the top of well it won't slip back.

So ,

The total time taken by frog to climb 50 feet deep well will be ;

= [tex]22\frac{6}{7}[/tex] hours

Thus , the time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.

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