Solve the simultaneous equation:
8d - 4e = 28
6d + 3e = 3​

Answers

Answer 1

Answer: d=2 and e= -3

Step-by-step explanation:

(8d-4e=28)*3 => 24d-12e=84

(6d+3e=3)*4 => 24d+12e=12

24d+24d-12e+12e=84+12

=> 48d=96

=> d=2

d=2 => 8*2-4e=28

=> e= -3


Related Questions

The perpendicular room is 4m long, 3m wide and 2.5m high. They tiled and painted the interior walls of the room. How many square meters of tiles should be used? Answer only

Answers

Answer:

12m²

Step-by-step explanation:

are the files to be used only for the floor, or also for the walls ? ceiling ?

if it is only for the floor, then the height of the room is irrelevant.

perpendicular clearly stands here for rectangular.

so, the good of the room is a rectangle of 4m length and 3m width.

the area of a rectangle is length×width.

area = 4×3 = 12m²

so, 12m² of tiles will be needed (in reality there would be at least 10% to 20% added for bad tiles, wrong cuts, ...).

if walls need to be included, then you will have to add the areas of 4 more rectangles of length×height.

which would be 2 times 3×2.5 = 7.5m² and 2 times 4×2.5 = 10m².

so, the total area incl. walls would be

12 + 7.5 + 7.5 + 10 + 10 = 47m²

if the ceiling has to be included too, then you need to add the area of another rectangle of the same size as the floor.

so, that total would then be

47 + 12 = 59m².

Pls I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!

Answers

Answer:

Question 1: 75 minutes

Question 2: 4:07

Question 3: 30 minutes

Question 4: 8:35

Step-by-step explanation:

An hour is sixty minutes; that's the key to solving these questions.

The time basketball was played is 75 minutes or 1 hour 15 minutes

The time I get home is at 4:07

The cook was cooked for 30 minutes.

The cheerleading was over at 8:35.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

We have,

Trey and Na Asia played basketball from 10:30 - 11:45.

From 10 to 11 we have 60 minutes.

= 60 minutes - 30 minutes [10:30] + 45 minutes [ 11:45]

= 105 minutes - 30 minutes

= 75 minutes

The time basketball was played.

= 75 minutes

= 1 hour 15 minutes

I left school at 3:15 on the bus. I got home 52 minutes later.

1 hour = 52 minutes

= 3:15 + 52 minutes

= 3  + 15 minutes + 52 minutes

= 3 + 67 minutes

= 3 + 1 hour +  7 minutes

= 4:07

The time I get home is at 4:07

Antavious makes Macaroni and cheese. He begins making it at 6:35 and finished at 7:05.

= 6:35 to 7:05

From 6 to 7 we have 60 minutes.

So,

= 60 minutes - 35 minutes [6:35] + 5 minutes [7:05]

=  65 minutes - 35 minutes

= 30 minutes

The cook was cooked for 30 minutes.

Makhiya and Madison went to cheerleading at 7:15. It was over 1 hour and 20 minutes later.

= 7:15 + 1 hour + 20 minutes

= 7 + 15 minutes + 1 hour + 20 minutes

= 8 + 35 minutes

= 8:35

The cheerleading was over at 8:35.

Thus,

The time basketball was played is 75 minutes or 1 hour 15 minutes

The time I get home is at 4:07

The cook was cooked for 30 minutes.

The cheerleading was over at 8:35.

Learn more about unit conversion here:

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Someone started fishing at 15.30 am after fishing for 2hours 15 min he rested for half an hour he then continued until 11am how long did he fish?

Answers

Answer:

7 Hours

Step-by-step explanation:

According to the Question,

Given, Someone started fishing at 3:30 am after fishing for 2hours 15min. he rested for half an hour(30min). Thus,  Now The Clock is Rotating to 3:30 am + 2hour 15 min. + 30 min. = 6:15 am .

He then continued doing Fishing until 11 am. As a result, he fished for 4 h 45 min. more after resting.

So the Total Time he Spends Fishing is 4 hour 45 min. + 2 hours 15 min.

7 hours  

The variable 100 POINTS!!!!

What is the value of 2 + (-2/3) ^2 ÷1/3 ?

16

3 1/3

-2

0

Answers

Answer:

second option is correct

3 1/3 is the right answer ( thats what i used for mine)

Determine the equation of the line perpendicular to y = 1/5x – 7 and passes through the point (-3,6).

Answers

Answer:

y = -5x - 9

Step-by-step explanation:

y = -5x + b

6 = -5(-3) + b

6 = 15 + b

b = -9

If 1=3

2=3

3=5

4=4

5=4

Then, 6=?

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

For "a = b" it appears that the intention is b = f(a). It appears that f(a) is the number of letters in the spelling of 'a'.

  "One" has 3 letters

  "Two" has 3 letters

  "Three" has 5 letters

  "Four" has 4 letters

  "Five" has 4 letters

  "Six" has 3 letters

so, 6 = 3.

_____

Additional comment

This appears to be a non-standard use of the equal sign, in which it has no relation to the usual meaning of "equals." Using standard symbols with non-standard meanings should generally be avoided, unless the intended meaning is explained.

Help I’m stuck!!!! Solve the equation below for x. Enter your answer as a fraction in lowes
terms, using the slash mark (/) as the fraction bar. 4/21 + 2/9
X=

Answers

Answer:

26/63

Step-by-step explanation:

Try to make the denominators equal so that you can add them:

4(3)/21(3)= 12/63

2(7)/9(7)= 14/63

And now you add, which will give you:

12/63 + 14/63= 26/63

the girls heights in inches are as follows:62,70,60,63,66,what is their average height?​

Answers

Answer:

Average height = 64.2 inches

Step-by-step explanation:

[tex]Average = \frac{sum \ of \ the \ values }{number \ of\ value}[/tex]

            [tex]=\frac{62 + 70 + 60 + 63 + 66}{5}\\\\=\frac{321}{5}\\\\=64.2 \ inches[/tex]

The average of the given heights is 64.2 inches

What is an average?

An average of a list of data is the expression of the central value of a set of data. It is defined as the ratio of summation of all the data to the number of units present in the list.

According to the given problem,

Given data = { 62, 70, 60, 63, 66 }

Sum of the given heights = ( 62 + 70 + 60 + 63 + 66 )

                                          = 321

Average = [tex]\frac{321}{5}[/tex]

              = 64.2 inches

Hence, we can conclude, the average of the given data is 64.2 inches.

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When the park opened for the day, four people were in attendance. Every hour, the number of people tripled from the previous hour's attendance.

Part A: Determine the common ratio between the attendance each hour.

Part B: Write an equation that can be used to determine the attendance for the nth hour the park is open.

Part C: How many people were at the park during the second, fifth, and eighth hours the park was open? Show all work.

Answers

This will be Part:C if you need step
By step just reply but hope this helps !

Pls give an actuel answer to this question. Thx :). WIll give brainest.

Answers

Answer:

47

Step-by-step explanation:

47

4 is 3 less than 7 so fits the requirement for the first part

47 reversed = 74

47 + 74 = 121

Answer:

47

So the number in the unit digit is x since it is unknown.

the number in the tens digit is 3 less than x which can be expressed as x-3.

we have to multiply x-3 by 10 since x-3 is supposed to represent the digit in the tens place. so we have 10(x-3)+x (we are adding x because in any number we always add the tens digit by the ones, for example, 13, 10 + 3)

the reverse number would instead be x in the tens place and (x-3) in the ones place so the equation would be 10x+(x-3)

10(x-3)+x + 10x+(x-3) is equal to 121.

distribute 10(x-3), 10x-30

10x - 30 + x +`10x+x-3

Add like terms, 10x+x and -30-3

11x-33+11x

11x+11x = 22x

so we have 22x-33=121

add 33 to both sides to isolate 22x

121+33= 154

22x=154, divide both sides by 22

154/22 = 7

x=7 but this is only the ones digit.

10(x-3)+x is the equation, so replace x with 7

10(7-3)+7

7-3 = 4 and 4*10 = 40

40 + 7 = 47

original number is 47

Please please help help please

Answers

Answer:

maybe the answer is equal. not sure.

Answer:

The answer is smaller

Step-by-step explanation:

because when we multiply two small ones we get a big one

if 6.2a=0.0143 then what is a?​

Answers

6.2a = 0.0143

=> a = 0.0143/6.2

=> a = 0.0023......

Description:- Note down postal pin code of your place where you reside. Take x times of last 2 digits of that pin code and add number of family members to it. Put it equal to your age and solve for x.​

Answers

Answer:

x = 2/3

Step-by-step explanation:

The last two digit of postal code here is 12

We multiply this by x

so we have x * 12 = 12x

The number of family members is 6 ; and we are to equate it to my age which is 14

thus, we have the equation as;

12x + 6 = 14

12x = 14-6

12x = 8

x = 8/12

x = 2/3

angad was thinking of a number. angad halves the number and gets an answer of 78.5. form an equation with x from the information​

Answers

Answer:

157

Step-by-step explanation:

Let the number Angad was thinking be 'x'

Equation:-

1/2(x) = 78.5

x = 78.5(2)

x = 157

I need help again please!

Answers

Answer:

C = 28

Step-by-step explanation:

6/42 = 32-x/x

Answer:

C = 28

I hope this helped you

The weight of three articles is 856 kg. If two of the articles weigh 502kg, what is 1/2 the weight of the third article?

Answers

Answer:

177 kg

Step-by-step explanation:

Find the weight of the third article by finding the difference between 502 and 856, since 856 kg is the total weight and 502 kg is the weight of the other 2 articles:

856 - 502

= 354

Now, find 1/2 of the weight, by dividing this by 2:

354/2

= 177

So, 1/2 the weight of the third article is 177 kg

ForEASY BRAINLIEST!!!

Answer:
A.
B.
C.

Answers

Answer:

A. x-3

B. x-14

C. x-10

Step-by-step explanation:

Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-

Step-by-step explanation:

a) x - 3

b) x - 14

c) x − 10

What is the mode
of 2, 8, 16, 4,
12, 9, 2?

Answers

the mode is 2
this is because 2 appears twice while the rest of the numbers only appear once.

The mode is the highest frequency data among the given data set is 2.

What is the mode?

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data.

Mode is the highest frequency of any number among data

For example 2,3,5,5,6,5,9,8,5,1

Here mode will be 5 because it has a frequency of 4 remaining all have a lower frequency than 5.

Given the data set is

2, 8, 16, 4, 12, 9, 2

2 has frequency = 2

And remaining all have a frequency as 1

Since 2 has the highest frequency so it will be mode.

For more about the mode,

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Question Progress
Homework Progress
8/17 Marks
91%
Find the Lowest Common Multiple of 3, 5 and 6.​

Answers

30 I think! Hope this helps!

Leona has a large bag of apples. There are 180 apples in the bag. She uses 14of the apples to make some juice. She uses 20% of the apples to make some pies. How many apples are left?

Answers

Answer:

132.8 are left enjoy

if G is the number of seconds that a traffic light says green and n is the average number of cars in each lane per light cycle, then the relationship would be G= 2.1n + 3.7
if the light stays green for 70 seconds then how many cars can cross the intersection in one cycle?
(linear equations)

Answers

Answer:

31.57 cars is the answer rounded to the hundredth, but since its cars you might want to put just 31 since half a car cant pass through. it depends on what your teacher wants really.

Step-by-step explanation:

70=2.1n+3.7

70-3.7=2.1n

66.3=2.1n

66.3/2.1=n

31.57=n

3n^5 ÷ 6n^3, using properties of exponents

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\frac{3n^{5}}{6n^{3}}=\frac{3}{6}*n^{5-3}\\\\=\frac{1}{2}n^{2}[/tex]

Answer:

[tex]\frac{n^{2} }{2}[/tex]

Step-by-step explanation:

Rewrite the division as a fraction.

[tex]\frac{3n^{5} }{6n^{3} }[/tex]

Cancel the common factor of 3 and 6.

[tex]\frac{3(n^{5}) }{6n^{3} }[/tex]

[tex]\frac{n^{5} }{2n^{3} }[/tex]

Cancel the common factor

[tex]\frac{n^{2} }{2}[/tex]

Hope this helps!

If you need more help with questions like these please reach out to me!

please hurry i want the answer of this question please

Answers

B

Please mark me as a brainlist

Answer:

900

Step-by-step explanation:

3²×5 = 45

3×2²×5² = 300

LCM = 900

Hope this helps... pls vote as brainliest

Question 2 Multiple Choice Worth 5 points)
(02.04 LC)
Determine the equation of the line shown in the graph

Answer choices
X= 5
y = 0
x = 0
y = 5

Answers

Answer:

A

Step-by-step explanation:

The line is parallel to y axis, so the equation is x = 5

A rental car costs $36 for one day plus an additional $0.50 per mile. What is the cost of renting a car for two days and driving it a total of 100 miles?

Answers

Answer: $122

I got 36•2=72
Then 0.50•100=50
72+50=122

30 points for 2 questions if you got the question correct I’m gonna give you brainlist

Answers

Answers :

9.) hyperbole

10.) destruction, boxer

(i’m not entirely sure about 10 because your teacher left a note about specific examples used in class, but it makes the most sense)

Someone PLEASE HELP ME. The diagram above shows a plan for a park.
ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.

Answers

Answer:

84 m

Step-by-step explanation:

Perimeter of the park = perimeter of rectangle + perimeter of 2 semicircles

62

Sonya wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 square inches, how much ribbon must she buy to have the exact amount that she needs

Answers

Answer:

48 inches

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

144 = s^2

Taking the square root of each side

sqrt(144) = sqrt(s^2)

12 = s

The side length is 12

We want to find the perimeter to determine the amount of ribbon

P =4s

P =4*12

48 inches

solve for the missing sidebof the triangle shown in the figure​

Answers

Answer:

∠B = 74°

a ≈ 14.5 inches

c ≈ 11.4 inches

Step-by-step explanation:

The given parameters of triangle ΔABC are;

∠A = 62.2°, ∠C = 43.8° and side [tex]\overline{AB}[/tex] = b = 15.8 in

By sine rule, we have;

[tex]\dfrac{a}{sin(\angle A)} = \dfrac{b}{sin(\angle B)} = \dfrac{c}{sin(\angle C)}[/tex]

[tex]a = {sin(\angle A)} \times \dfrac{b}{sin(\angle B)}[/tex]

By angle sum property, we have;

∠B = 180° - (∠A + ∠C)

∴ ∠B = 180° - (62.2° + 43.8°) = 74°

∠B = 74°

[tex]\therefore {a} = {sin(62.2^{\circ})} \times \dfrac{15.8}{sin(74^{\circ})} \approx 14.5[/tex]

a ≈ 14.5 in.

[tex]c = {sin(\angle C)} \times \dfrac{b}{sin(\angle B)}[/tex]

[tex]\therefore {c} = {sin(43.8^{\circ})} \times \dfrac{15.8}{sin(74^{\circ})} \approx 11.4[/tex]

c ≈ 11.4 in.

Which definition best describes vertical angles?
O A. A pair of angles whose sum is 180°
B. A pair of angles that combine to form a straight angle
C. A pair of angles whose sum is 90°
D. A pair of opposite angles formed by intersecting lines
SUBM

Answers

the correct answer is d
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