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Answers

Answer 1

Answer:

w = 5, x = 7, y = 6, z = 12

Step-by-step explanation:

Evaluate each row by solving the corresponding equation, that is

row 1

4w = 20 ( divide both sides by 4 )

w = 5

row 2

2w + 2x = 24 ( substitute w = 5 )

2(5) + 2x = 24

10 + 2x = 24 ( subtract 10 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

row 3

w + 2x + y = 25 , that is

5 + 2(7) + y = 25

5 + 14 + y = 25

19 + y = 25 ( subtract 19 from both sides )

y = 6

row 4

w + x + y + z = 30 , that is

5 + 7 + 6 + z = 30

18 + z = 30 ( subtract 18 from both sides )

z = 12


Related Questions

Rationalize the denominator 1/ (5-2√3)​

Answers

Explanation :-

At first, we have to multiply the numerator and the denominator and the denominator's inverse such that (a-b)(a+b) = a² - b² is formed in the denominator.

Denominator = 5-2√3Rationalizing factor = 5 + 2√3

[tex]\qquad[/tex]_________________________

[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]

[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]

[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]

[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]

[tex]\qquad[/tex]_________________________

Answer is 2/(5+√13)

Rationalize the denominator 1/ (5-2√3)

Which mixed number is equivalent to the improper fraction 4 2/5?

4 2/5

7 4/5

8 2/5

9 3/5

Answers

the answer is 4 2/5, and I don't think others are equivalent to it

Determine the domain and range of the function f(x) = â€""|x| 2. The domain of the function is. The range of the function is.

Answers

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

Learn more here: https://brainly.com/question/25915612

Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:

Boris made $306 for 18 hours of work. At the same rate, how many hours would he have to work to make $119?

Answers

in order to make 119$ he would need to work 7 hours

Answer:

[tex]18 = 306 \\ x = 119 \\ \\ 306x = 2142 \\ x = \frac{2142 }{306 } \\ x = 7[/tex]

22/7 x 1.4

Plz explain this step by step

Answers

Answer:

22/5 (or) 4.4

Step-by-step explanation:

22/7 × 1.4

=22/7 × 1.4/1 <-- to change the decimal into a fraction multiply it with ×10 so the numerator 1.4 will become 14 and the denominator 1 will be 10

=22/7 × 14/10 <-- now you can cancel out as usual

=22/5 (or) 4.4

HEEEELLLLLPPP QUICKKK
28° + x-4°+2x=180°

Answers

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

a)
3
NIX 01/x
b
b)
=
= 8.5

Answers

Answer:

a = 8.5  

Step-by-step explanation:

The perimeter of the figure below is 140 ft.
Find the length of the missing side.

Answers

Answer:

9.2 ft

Step-by-step explanation:

140 - 9.6 - 10.2*8 - 19.8*2 = 9.2

mark me as brainliest PLEASE

Write an equation for a line that passes through (2,5)
and (6, 7).

Answers

Answer:

y=2x-9

Step-by-step explanation:

Chau needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.

PLEASE HELP!!!!
ASAP!

Answers

Answer:

The answer for Brand A is 0.09 because if you divide that would be you answer.

Brand B the answer is 0.10 how you do it is the same you divide and this is you answer.

Step-by-step explanation:

WILL GIVE BRAINLIEST
IN a certain chemical the ratio of zinc to copper is 3 to 11 a jar of the chemical contains 385 grams of copper how many grams of zinc does it contain?

Answers

Answer:

105 grams

Step-by-step explanation:

385/11=35

35 times 3 is 105 grams

Answer:

35 grams

Step-by-step explanation:

3/11= x/385

11x= 385

x= 385/11

= 35 grams

0.00000327 what is the proper scientific notation of this number?

Answers

Answer:

3.27 x 10^-6

Step-by-step explanation:

Hope this helps

From a can containing 10 liters of milk, mrs menon used 3.8 litres in the morning and 2.3 litres in the evening how many hectolitres of milk is in the can?


Plz write the steps cause i want to understand it bcuz tomorrow is my exam

Answers

Answer:

0.039 hectolitres are left in the can

Step-by-step explanation:

One hectolitre equals 100 liters

The can:

10-3.8-2.3=3.9 liters

In hectolitres:

3.9/100 = 0.039

Hope this helps

PLEASE I NEED HELP, ILL MARK AS BRAINLIEST!!

Raul  is filling a 55 gallon fish tank with water. There are 18.5 gallons of water in the take 2.5 gallons of water flows from the hose each minute how many gallons of water are in the fish tank after 12 minutes

Answers

Answer:

All you do is multiply 2.5 x 12

Step-by-step explanation:

multiplying both numbers gets you a toltal of 24.60 or 24.6

Which statement is necessarily true if is an altitude to the hypotenuse of right ?

Answers

Step-by-step explanation:

it's b

i relly don't know cause theres no image

Divide. Then check using multiplication. The first one is done for you. Lesson 22 5.2 485 divided by 15.

Answers

Answer:

Its answer is 32.33

Step-by-step explanation:

1/7 of the pupils in a class like dark chocolate. 1/2 of the pupils like milk chocolate and the rest prefer white chocolate. what fraction of the class prefers white chocolate​

Answers

14+50=64, leaving 36% prefer white chocolate or approximately 1/3

I have three bits of tinsel measuring the following: 2.3m, 45cm and 750mm. How long is my tinsel altogether in metres?​

Answers

100 cm= 1 meter 1,000 cm=meter
——————-
750 mm = 0.75 m
45 cm = 0.45 m
2.3 m
——————
Add and you should get 3.5. The tinsel is 3.5 meters long.

Find the product of 6b(2 over 3b).

20 over 3b
4b
23 over 3 b2
4b2

Answers

Answer:

c is my opinion

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

trust me.

Determine if they are congruent. State how they are.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~ D

[tex] \textsf{Not enough information }[/tex]

The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~

The area of a rhombus is 40 sq cm and one of its diagonals is 8 cm long. Find the length of the other diagonal.​

Answers

Answer: The length of the other diagonal is 10 cm...

So the diagonal formula is -  1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.

So,

1/2 * (8*d2) = 40

8d2= 40*2

d2= 80/8

d2= 10

There is a row of 15 trees in a garden. Starting from the first tree, a gardener marked every second tree, then, on his way back, he marked the first tree, and then every third tree. How many trees are left without a mark?

Answers

Answer:2

Step-by-step explanation:

15/3 = 5

15/2 = 7.5

+1

= 13

15 - 13 = 2

Answer:  5

=====================================================

Explanation:

The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.

The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.

Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.

Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}

We see that the following trees aren't marked: {2,6,8,12,14}

There are  5   items in that last set.

Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.

Will give brainly,5 stars,and thank if it CORRECTLY PLEASE

Answers

Answer:

31.68

Step-by-step explanation:

1.4×9.15= 12.81

0.8×10.75= 8.6

2.6×3.95= 10.27

10.27+ 8.6+ 12.81= $31.68

Hope this helps!

Plz mark brainliest

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

ABC is a triangle. AC=19cm, BC=17cm and angle BAC=60

Answers

Answer:

In the picture

Step-by-step explanation:

it's an acute triangle

more information in the picture

the table shows the daily temperatures for a city what is the mean absolute deviation for this data

A) 2
B) 10
C) 70
D) 71​

Answers

B is the answer if you look at the data the test gives you

I rlly need help on this homework

Answers

Hi there! :)

First, let's use the Distributive Property.

It states that

a(b+c)=ab+ac

Therefore

5(2h+8)=10h+40

10h+40<60

Move all the numbers to the right, using the opposite operation:

10h<60-40

10h<20

h<2

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen whose hobby is helping others

Good luck.

Hey there!

5(2h + 8) < 60

= 5(2h) + 5(8) < 60

= 10h + 40 < 60

SUBTRACT 40 to BOTH SIDES

= 10h + 40 - 40 < 60 - 40

CANCEL out: 40 - 40 because it gives you 0

KEEP: 60 - 40 because it helps solve for the h-value.

NEW EQUATION: 10h < 60 - 40

SIMPLIFY IT!

= 10h < 20

DIVIDE 10 to BOTH SIDES

= 10h/10 < 20/10

CANCEL out: 10/10 because that gives you 1

KEEP: 20/10 because it gives you the result of the h-value

NEW EQUATION: h < 20/10

SIMPLIFY IT!

= h < 2

Therefore, your answer is: h < 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

how do I do this question?

Answers

Answer:

x = (y +2)/3

Step-by-step explanation:

y= 3x-2

y+2=3x

x=(y +2)/3

Complete the proof(using sas congruence)! Use to sas congruence to prove that two angles are congruent

Answers

Here are all of the blanks filled in:

1. (Statement) AC is the perpendicular bisector of BD.

3. (Statement) BC is congruent to DC. (Reason) Definition of Congruence.

4. (Reason) Definition of a perpendicular bisector.

5. (Reason) Right Angles are Congruent.

6. (Statement) AC is congruent to AC.

7. (Statement) Triangle ABC is congruent to Triangle ADC. (Reason) SAS Congruence Theorem

Hope this helps!

THE AREA OF A LAKE ON THE MAP IS 12CM SQUARE CALCULATE THE ACTRUAL AREA OF THE LAKE IN KM
SQUARE

Answers

Answer:

if 1cm is for 1km there are 12km

Step-by-step explanation:

it can depend on the size of the map but if there is a scale which shows how many km per cm then multiply by 12

A potter can make 24 vases in 8 days. If the potter works 6 hours each day, how long does it take to make one vase?

Answers

Answer: 2
Explaintion/
24/8 =3
6/3=2
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