Atividade 12 Observe o sistema de equações abaixo. {m−3n=16m+5n=−8​ Quais são os valores de "m" e "n" que satisfazem esse sistema de equações? m=1en=3. m=7en=–3. m=52en=–12. m=–20en=–12.

Answers

Answer 1

Responder:

m = 7; n = - 3

Explicação passo a passo:

Dada a equação:

m − 3n = 16m + 5n = −8

Resolvendo a equação:

m − 3n = 16 - - - (1)

m + 5n = - 8 - - - (2)

Subtraia 1 de 2

m - m - 3n - 5n = 16 - - 8

-3n - 5n = 16 + 8

-8n = 24

n = 24 / - 8

n = - 3

Coloque n = - 3 em (1)

m − 3n = 16

m - 3 (-3) = 16

m + 9 = 16

m = 16 - 9

m = 7


Related Questions

A bag contains 9 red, 6 green, 3 blue, and 2 yellow balls of the same size. A student chooses a colour and then draws a ball from the bag. If she draws a ball of her choice of colour she wins, if not the teacher wins. Who do you think will be the winner after 24 rounds, the student or the teacher

Answers

Answer:

the teacher will win becasue there are less numbers of colors to choose from one of the catagories then there are in total.

Step-by-step explanation:

Debbie has 12 blooms on her lemon tree on the first day she thinks to check it. Each day after that, she notices 3 additional blooms. How many blooms does she have after one week?

Answers

Answer:

33 blooms

Step-by-step explanation:

This can be set up by an equation. x represents the number of days and y represents the number of corresponding blooms. y = 3x + 12 is the equation, as 3 is the rate of change and 12 is the initial amount. One week is 7 days, so 7 can be plugged in for x. 21 + 12 = 33, so after one week, Debbie has 33 blooms.

Which of the following statements is true?

A. All trapezoids are parallelograms.
B. All rectangles are rhombuses.
C. All rhombuses are rectangles.
D. All squares are parallelograms.

Answers

Answer:

D. All squares are parallelograms. (Correct)

PLEASE HELP. (Will Mark Brainliest)

Answers

Answer:

Step-by-step explanation:

17/60 = 0.2833333333.....  3 repeating

25/60 = .025  terminating

31/44 = 0.7045454545.....   45 repeating

54/72 = 0.75    terminating

if a man spends 70% of his income what percent does he save​

Answers

Answer:

30%

Step-by-step explanation:

Let's say he has 100% income

Spends 70%

Remaining=100-70=30%

Step-by-step explanation:

total percentage = 100%

total percentage spend = 70%

remaining percentage = 100% — 70% = 30%

Here's a little something that will tease your brain. I doubt someone will answer this​

Answers

Answer:

500ml orange juice is the most cost effective

500 ml is the answer

For what values of x is the expression below defined?
x +3 + x1 - x
O A. 35xs1
O B. 3 > XS-1
O C. 3 >x>1
O D. -3 sx< 1

Answers

Answer:

D. - 3 ≤ x < 1

Step-by-step explanation:

The numerator cannot be the square root of a neg. no.

So, x + 3 ≥ 0 or x ≥ -3

The denominator cannot be a neg. no. or 0.

So, 1 - x > 0

1 > x or x < 1

So, altogether - 3 ≤ x < 1

Therefore, D is the correct answer.

HOPE IT MAY HELP YOU

PLEASE MARK AS BRAINLIST

no links please, i cant find the answer for q b) ii)

Answers

Answer:

-k

Step-by-step explanation:

Cos(140)=cos(180-40)=-cos(40)=-k

Answer:

Step-by-step explanation:

Sin (90 - A)  = Cos A

Cos (90 + A) =   -Sin A

Sin 50 = Sin (90 - 40)

          = Cos 40

         = k

Cos 140 = Cos (90 + 50)

             = - Sin 50

            = (- k)

how do i solve this
[tex] {x}^{6} [/tex]

Answers

Answer:

You did give anything to solve

Step-by-step explanation:

x⁶ is just a single term

If you had posted an equation like

x⁶ = 64

Take the cube root of both side

x² = 4

Take the square root of both sides

x = ± 2

Please help !!!!!!!!

Answers

Answer:

table:

x = -2 , y = 5

x = 0 , y = -3

x = 1 , y = -4

x = 3, y = 0

b

i. line A

ii. y = -1,5

iii. x = -1.25

Step-by-step explanation:

as from the table

Step-by-step explanation:

the last one takes allot of steps but I tried those

Which of the following statements are true?

Answers

Answer:

I am not 100% sure but like 75 % sure its A,c , and e

Step-by-step explanation:

Ahmad said that the volume of cone A is half the volume of cone B? Do you agree? Explain

Answers

Answer:

Yes, I agree

Step-by-step explanation:

See attachments for cone

Cone A

[tex]h = 2r[/tex]

Cone B

R = 2r

[tex]h=r[/tex]

The volume of a cone is

[tex]V = \frac{1}{3}\pi r^2h[/tex]

For cone A, we have:

[tex]V = \frac{1}{3}\pi r^2*2r[/tex]

[tex]V_A = \frac{2}{3}\pi r^3[/tex]

For cone B, we have:

[tex]V = \frac{1}{3}\pi *(2r)^2 * r[/tex]

[tex]V = \frac{1}{3}\pi *4r^2 * r[/tex]

[tex]V_B = \frac{4}{3}\pi r^3[/tex]

So, we have:

[tex]V_B = 2 * \frac{2}{3}\pi r^3[/tex]

Substitute [tex]V_A = \frac{2}{3}\pi r^3[/tex]

[tex]V_B = 2 * V_A[/tex]

Make VA the subject

[tex]V_A = \frac{1}{2}V_B[/tex]

Hence, I agree with Ahmad

Which statement are true of functions? (All that applies)
A. All function have a dependent variable
B. All function have a independent variable
C. The range of a function includes its domain
D. A vertical line is an example of a functional relationship
E. A horizontal line is an example of a functional relationship
F. Each output value of a function can correspond to only one input value

Answers

A and B and E.And sorry if I get it wrong.

Solve x- 7.5 = 4.1 for x.​

Answers

Answer: x = 11.6

Step-by-step explanation: 11.6 - 7.5 = 4.1

The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.​

Answers

Answer:

y=40°

Z + Y = 70°

z. = 70°-40°

z. = 30°

POH=X

=180-70

=110°

An archery video game has an auto-aim feature.
An archer wants to hit point T but his bow is aimed at point A, which is 15 m away from T as shown. The
auto-aim feature also knows that the archer is 60 m away from T and 50 m away from A
How many degrees will the auto-aim feature adjust the shot?
Do not round during your calculations. Round your final answer to the nearest degree

Answers

Answer:12

Step-by-step explanation:

Based on the calculations, the number of degrees that the auto-aim feature would adjust the shot is 12°.

How to calculate the angle formed?

Based on the triangle attached in the image above, we can deduce the following parameters:

Side AT = 15 m.

Side CA = 50 m.

Side CT = 60 m.

In this scenario, we would apply the cosine trigonometry function by using this mathematical expression:

AT² = CA² + CT² - 2(CA)(CT)COSθ

15² = 50² + 60² - 2(50)(60)COSθ

225 = 2500 + 3600 - 6000COSθ

6000COSθ = 6100 - 225

6000COSθ = 5875

θ = COS⁻¹(5875/6000)

θ = COS⁻¹0.9792

θ = 11.72 12°

Read more on cosine function here: https://brainly.com/question/4599903

#SPJ2

i need help again u guys

Answers

Answer:

x = -3

Step-by-step explanation:

X = -b/2a

X= -(-12)/2(-2)= -3

X= -3

I hope this answers your question and can u please brainliest my answer I would really appreciate it?!

Calculate the book value of a new maxi taxi costing $44000 after 5 years if it depreciates each year by 13% a. $22,930.52 b. $21,930.52 c. $23,930.52

Answers

Answer:

A=$21930.52

Step-by-step explanation:

Given data

Principal =44000

Time =5years

Rate of depreciation =13%

The expression for the depreciation is

A=P(1-r)^t

Substitute

A=44000(1-0.13)^5

A=44000(0.87)^5

A=44000*0.4984209207

A=21930.52

In ΔMNO, m∠M = 57° and m∠N = 75°. Which list has the sides of ΔMNO in order from shortest to longest?

Answers

Answer:

B. MN, NO, OM

Step-by-step explanation:

Recall: In any triangle, the sides and the angles are related in the following way:

*The largest angle and the longest side are opposite each other

*The medium angle and the mid-sized side are opposite each other

*The smallest angle and the shortest side are opposite each other

In ∆MNO, we are given that

m<M = 57° which is opposite to side NO

m<N = 75° which is opposite to side OM

m<O = 180° - (75° + 57°) (sum of triangle)

m<O = 48° which is opposite to side MN

Therefore, we can write the order of shortest to longest side in relation to their opposite angles as follows:

MN, NO, OM

Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared

Answers

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

882.3529411764706 to the nearest whole number

Answers

Answer:

882

Step-by-step explanation:

If it's over .5 you round up, if It's .4 or under you round down.

5.5 rounded to the nearest whole number is 6.

5.4 rounded to the nearest wholee number is 5.

36 -5x = 7x +48
Which value of x makes the equation true?

Answers

Answer:

[tex]x=-5\frac{1}{3}[/tex]

Step-by-step explanation:

36 - 5x = 7x + 48

3x - 5x + 5x = 7x + 5x + 48

3x = 12x + 48

3x - 12x = 12x - 12x + 48

- 9x = 48

- 9x ÷ - 9 = 48 ÷ - 9

[tex]x=-5\frac{1}{3}[/tex]

36-12x=48
-12x=12
X=-1

PLEASE HELP! Enter answer/code

* show me how you got it and no random answers*

Answers

Answer:

a+b

Step-by-step explanation:

you have to multiply

7(3a-2b)                  5(3b-4a)

7x3=21                     5x3=15

7x2=14                      5x4=20

(21a-14b)                   (15b-20a)

add them

21a-14b+15b-20a

21a-20a=1a

-14b+15b=1b

1a+1b

How would you describe the channel of distribution for Coke using the BreakMate?

Answers

Answer:

Yes

Step-by-step explanation:

1. What

2. Even if that's an actual question, it doesnt make any sense

3. What

4. Even if that's an actual question, it's not math related

5. What

Help and explain pls and thankyouuuuuu

Answers

Answer:

shhsksbsvsvdbdhsbs. c

9514 1404 393

Answer:

  (d)  -3

Step-by-step explanation:

Put the number into the expression and do the arithmetic.

  f(g(-2)) = f(-2-3) = f(-5) = 2(-5) +7 = -10 +7

  f(g(-2)) = -3

Answer please ill apprciate it

Answers

Answer:

is B. 75

Step-by-step explanation:

x+26=101

x=101-26

:. x=75

[tex]\huge\boxed{\fcolorbox{lime}{yellow}{ B. \:75}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]x + 26 = 101[/tex]

[tex]➺ \: x = 101 - 26[/tex]

[tex]➺ \: x = 75[/tex]

Therefore, the value of [tex]x[/tex] is 75.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]➺ \: x + 26 = 101[/tex]

[tex]➺ \: 75 + 26 = 101[/tex]

[tex]➺ \: 101 = 101[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

I also need help with this

Answers

Answer:

7 strips

Step-by-step explanation:

One way we can solve this is through guess and check. Let's start with 4 strips. If Joe's grandma makes 4 strips, she will have 0.75*4 = 3.00 yards of fabric. That's a really low amount of fabric. Let's double that to 8, where Joe's grandma would need 0.75*8 = 6.00 yards of fabric. That's really close! Let's remove one strip. 0.75*7 = 5.25 yards of fabric. Perfect! Joe's grandma can cut exactly 7 strips

What is the measure of

Answers

Answer:

PRQ = 86 degrees

maths help pls.......​

Answers

Answer: (C) 308 cm^2

Step-by-step explanation: Flat surface area is the surface area that is not curved; in this case, it would be the two circular bases. The height is arbitrary as the height is not needed to calculate the area of the bases. The formula for the area of circular bases is πr^2. Let's plug the given values into the formula. (22/7)(7)^2=(22/7)(49)=154. 154 cm^2 is the area of one base. To find the area of both bases, simply multiply the area of one base by two. 154*2 is 308, therefore the answer is (C) 308 cm^2.

HELP THIS IS MY LAST ASSIGNMENT FOR MATH

Answers

Answer:

Decompose each number:

\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}

6)90=9×10

7)40=4×10

8)890=89×10

9)300=3×100

10)7000=7×1000

11)3700=37×100

Correct the error. Write the correct decomposition:

\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}

12)560=56×10

13)4300=43×100

14)6000=60×100 or 6×1000

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