In below diagrams, line BC is parallel to DE.

Answer:

k=4

Step-by-step explanation:

cross multiply so it would be:

8k+24=56

subtract 24 from 56

8k+24-24=56-24

8k=32

divde

8k/8=32/8

k=4

Answer:

60 degrees

Step-by-step explanation:

All the angles are the same so 180 divided by 3 is 60

Answer:

y = 5x + 16

Step-by-step explanation:

5y + x = 20

5y = -x + 20

y = [tex]-\frac{1}{5}[/tex]x + 20

Points: (-2, 7)

Slope (m⊥): = 5

y = 5x + b

7 = 5 ( -2 ) + b

6 = -10 + b

b = 16

y = 5x + 16

Answer:

301.44

Step-by-step explanation:

Answer:

The slope of the line that joins the points is negative.

i.e m = -6/5

Step-by-step explanation:

Taking two points from the graph to determine the slope

Finding the slope between (-3, 4),(2, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]'

[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)[/tex]

[tex]m=\frac{-2-4}{2-\left(-3\right)}[/tex]

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

Therefore, the slope of the line that joins the points is negative.

i.e m = -6/5

Answer:

-23, -15, -10, -7, -3, -2, -1, 0, 2, 2, 3, 5, 10, 15, 23  

Step-by-step explanation:

:)

Answer:

c

Step-by-step explanation:

i dont know if its c

Answer: 22

Step-by-step explanation:

From the question the, we are informed that members of a lacrosse team raised $1352.50 to go to a tournament and that they rented a bus for $802.50 and budgeted $25 per player for meals.

The equation which can be used to determine p, the number of players the team can bring to the tournament would be calculated as:

802.50 + 25p = 1352.50

25p = 1352.50 - 802.50

25p = 550

p = 550/25

p = 22

They can bring 22 players to the tournament

Answer:22

Step-by-step explanation:

Answer: it is

Step-by-step explanation: the next numbers are 1.5, 3, 4.5.

Answer:

This is the answer. All the very best

Answer:

$0.50 per kilogram

Step-by-step explanation:

($300/trip)/(50 packs/trip) = $6/pack

($6/pack)/(12 kilograms/pack) = $0.50/kilogram

Answer:

Please check the number line attached below.

Step-by-step explanation:

Please check the attached graph below.

The line graph is representing that a number line:

From the graph, it is clear that the point 0 is taken as arbitrary. The left side number units from 0 represent the negative values and the right-sided number units from 0 represent the positive values.

When we move on the right side from the 0, the numbers increase and when you move on the right side from the 0, the number decreases.

Answer:

The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

Step-by-step explanation:purrr

Answer:

1/512

Step-by-step explanation:

The probability is 2 out of 2^10 , because there are only two sequences when  same result (heads or tails) shows twice in a row exactly once in the ten tosses (HTHTHTHTHT and THTHTHTHTH) out of 2^10 possible sequences.

2/2^10 = 2/1024 =1/512

Answer:

dhdhdgfhhdhdhfhfhhfhfhdhd

Answer:

$14

Step-by-step explanation:

ok so since he is delivering groceries he gets $4.

now when he delivers he get $2 more, so for each house he delivers to he adds $2 to that $4.

so the easiest was to do this is 5x2.

5x2 is 10.

now $10 is how much more he gets on top of the $4, so now we need to add the $4 to the $10.

your answer is $14  

plz mark brainliest!

Answer:

16 students are girls.

Step-by-step explanation:

5:4=36

5x+4x=36

9x=36

x=4.

So we can multiply the ratio by 4.

4(5+4)

20+16.

Since girls is 4, there are 16 girls.

Hope this helps plz hit the crown :D

Answer:

let ratio of boys and girl be 5x and 4x

now

5x+4x=36

9x=36

x=36÷9

x=4

now

number of boys in class is 5x=5*4=20

Number of girls in class is= 4x

=4*4

=16 ans

Answer:

g(x) = 6x+4

Step-by-step explanation:

The given function f(x)=x

Let p(x) be an intermediate function after translation of f(x).

So, after the translation 4 unit down, the new function

p(x) = f(x) - 4

p(x) = x-4

Now, there is a horizontal shrink by a factor of 6, so the required function g(x) is

g(x) = p(6x) [here 6 is the horizontal shrink factor]

g(x) = 6x-4

Hence, the required function is g(x) = 6x+4

Answer:

[tex]70x + 25y + 4x + 4y \leqslant 1500 [/tex]

where x = number of adults

y = number of children

and the extra weights of 4kg of each person.

Answer:

The function of the equation is f(x) =  [tex]-\frac{1}{2}[/tex]  [tex]-\frac{3}{2}[/tex] x

Step-by-step explanation:

The function form of the linear equation is f(x) = m x + b, where

∵ The equation is 3x + 7 = 2(3 - y)

→ Simplify the right side by multiplying the bracket by 2

∵ 3x + 7 = 2(3) - 2(y)

∴ 3x + 7 = 6 - 2y

→ Add 2y for both sides

∵ 2y + 3x + 7 = 6 - 2y + 2y

∴ 2y + 3x + 7 = 6

→ Subtract 7 from both sides

∵ 2y + 3x + 7 - 7 = 6 - 7

∴ 2y + 3x = -1

→ Subtract 3x from both sides

∵ 2y + 3x - 3x = -1 - 3x

∴ 2y = -1 - 3x

→ Divide each term by 2

∴ y = [tex]-\frac{1}{2}[/tex] - [tex]\frac{3}{2}[/tex] x

→ Replace y by f(x)

∴ f(x) =  [tex]-\frac{1}{2}[/tex]  [tex]-\frac{3}{2}[/tex] x

∴ The function of the equation is f(x) =  [tex]-\frac{1}{2}[/tex]  [tex]-\frac{3}{2}[/tex] x

Answer:

5,548.9861375

Step-by-step explanation:

First year

4700/100×5.5=258.5

So his account will be 4700+285.5=4985.5

Second year

4985.5/100×5.5=274.2025

His account will be 4985.5+274.2025=5,259.7025

Third year

5,259.7025/100×5.5=289.2836375

The total in his account after three years equal to

289.2836375+5259.7025=5,548.9861375

Answer:

y=12

x=30

Step-by-step explanation:

2x-3y=24 ... 1

x+6y=18 ... 2

2*2:

2x+12y=36...3

3-1:

y=12

x=30

When the following system of equations 2x - 3y = -24 and x + 6y = 18 are solved, the value of x and y is found to be -6 and -4 respectively.

Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.

Given the system of equations:

2x - 3y = -24 (equation1)

x + 6y = 18 (equation2)

From equation 2,

x = 18 - 6y

Now, substitute this expression for x in equation (1):

2(18 - 6y) - 3y = -24

36 - 12y - 3y = -24

36 - 15y = -24

-15y = -60

y = [tex]\frac{(-60)}{(-15)}[/tex]

y = 4.

Now substitute it back into equation (2) to solve for x:

x + 6(4) = 18

x + 24 = 18

x = 18 - 24

x = -6

Therefore, the solution to the system of equations is x = -6 and y = 4.

Learn more about equations here:

https://brainly.com/question/28953876

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Answer:

They are neither perpendicular nor parallel.

Step-by-step explanation:

Find the gradient of 2x + 6y = 42 by rearranging it in the form y = mx + c:

6y = -2x + 42

y = -(1/3)x + 7

The gradient is the co-efficient of x

Therefore the gradient is -(1/3)

The gradient of y = 2x - 1 is 2.

If they were parallel they would have the same gradient.

If they were perpendicular then the gradient of one would be the negative reciprocal of the other, e.g: if one was 2, the other would be -(1/2).

Neither of these are true, so they are neither perpendicular nor parallel.

The lines 3x+6y=42 and y=2x-1 are perpendicular

Two lines are parallel if they have equal slope

Two lines are perpendicular if the product of their slopes equals -1

The given lines are:

3x+6y=42 and y=2x-1

Rewrite each of the equations in the form y = mx + c

For line 3x + 6y = 42:

[tex]6y = -3x + 42\\\\y=\frac{-3}{6} x+\frac{42}{6}\\\\y=-0.5x+7[/tex]

The slope, m₁  =  -0.5

For line y = 2x - 1

The slope, m₂ = 2

Since m₁  ≠ m₂, lines 3x+6y=42 and y=2x-1 are not parallel

m₁ m₂  =  -0.5(2)

m₁ m₂  = -1

Since the product of the slopes equals -1, the lines 3x+6y=42 and y=2x-1 are perpendicular

Learn more here: https://brainly.com/question/20093063

Answer: 4.17%

Step-by-step explanation:

Formula for percentage error = [tex]\dfrac{|\text{Estimated weight - Actual weight}|}{\text{Actual weight}}\times100[/tex]

Given: Estimated weight = 2.5 oz

Actual weight = 2.4 oz

Percentage error = [tex]\dfrac{2.5-2.4}{2.4}\times100\%[/tex]

[tex]=\dfrac{0.1}{2.4}\times100\%\\\\=\dfrac{100}{24}\%=4.17\%[/tex]

Hence, the percent error = 4.17%

Answer:

D)

Step-by-step explanation:

Line: y = 5x - 1

The shaded space is less than or equal to the line.

So it is y [tex]\leq[/tex] 5x - 1

This is the same as D)

Answer:

$0.18 sales tax will be added to the purchase price.

Step-by-step explanation:

Given that:

Cost of cupcake = $3

Sales tax applied = 6%

Amount of sales tax = 6% of cost of cupcake

Amount of sales tax = [tex]\frac{6}{100}*3[/tex]

Amount of sales tax = 0.06 * 3 = $0.18

Hence,

$0.18 sales tax will be added to the purchase price.