11. How can you solve the system? Complete the
sentence
(3x + 3y = 9
-6x – 4y = -14
Multiply 3x + 3y = 9 by ?and add
it to -6x – 4y = -14.
X Х

[tex]\boxed{D)\:5}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{A)\:-4}[/tex] ❌

[tex]x - 4 < - 2 \\ = - 4 - 4 < - 2 \\ = - 8 < - 2[/tex]

[tex]\sf\purple{B)\:-1}[/tex] ❌

[tex]x - 4 < - 2 \\ = - 1 - 4 < - 2 \\ = - 5 < - 2[/tex]

[tex]\sf\purple{C)\:0}[/tex] ❌

[tex]x - 4 < - 2 \\ = 0 - 4 < - 2 \\ = - 4 < - 2[/tex]

[tex]\sf\red{D)\:5}[/tex] ✅

[tex]x - 4 > - 2 \\ = 5 - 4 > - 2 \\ = 1 > - 2[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

(17/12)π radians

Step-by-step explanation:

π radians = 180º

255 * (π/180) = (17/12)π

Answer:

15 is the answer

Step-by-step explanation:

20×4=80

80-65=15

Answer:

The answer is 15

Step-by-step explanation:

(20×4)-65=15

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

The chords subtended by equal arcs are equal.

Therefore,

Hence, value of x = 7

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

[tex]18 \: gallons = 45 \: seconds \\ 40 \: gallons = ( \frac{40}{18} \times 45) \: seconds \\ = 100 \: seconds[/tex]

Answer:

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

Step-by-step explanation:

From the given information:

Let assume the population is denoted by L

The rate of change of the young adults per year given  can be represented as;

[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]

where;

x = 0 since 2010

[tex]dL = -x^2 +90x -200 dx[/tex]

[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]

[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]

here;

L(0) = 31000

∴

[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]

C = 31000

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

Answer:

10x+10 = 110

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

10x+10 = 110

Answer:

A - 1,4

B -5,8

C -5,4

D -4,2

Step-by-step explanation:

im not shure how to explain

Answer:

A' ( -1, -4 )

B' (-5, -8 )

C' (-5, -4 )

D' ( -4, -2 )

Step-by-step explanation:

I took the test

Answer:

15.8% = 16%

Step-by-step explanation:

The change (expected result - actual result):

95-80 = 15

Now we divide it by the expected 95 minutes and multiply by 100 to get a percentage.

15/95*100 = 15.8% = 16%

Answer:

[tex]Area = 279ft^2[/tex]

Step-by-step explanation:

Given

See attachment for tent

Required

The material needed

This implies that we calculate the surface area of the tent.

This is calculated as:

Area = 2 * Area of Congruent triangles + 2 * Area of Congruent Rectangles + Area of Base Rectangle

So, we have:

[tex]Area = 2 * \frac{1}{2} * 6 * 8 + 2 * 10.5 * 7 + 10.5 * 8[/tex]

[tex]Area = 48 + 147 + 84[/tex]

[tex]Area = 279ft^2[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]P(B/C)=0.7[/tex]

Step-by-step explanation:

From the question we are told that:

The probability that Bob and Chris go to the movies [tex]P(BnC)= 0.35.[/tex]

The probability that Chris goes to the movies [tex]P(C)= 0.5[/tex]

Generally the equation for the probability that Bob goes to the movies given that Chris goes P(B/C) is mathematically given by

 [tex]P(B/C)=\frac{ P(BnC)}{P(C)}[/tex]

Therefore

 [tex]P(B/C)=\frac{0.35)}{0.5}[/tex]

 [tex]P(B/C)=0.7[/tex]

Answer:

y = 50x+40

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

First find two points on the line

(0,40) and (2 ,140)

The slope is

m= (y2-y1)/(x2-x1)

   = (140-40)/(2-0) = 100/2= 50

The y intercept is where it crosses the y axis which is 40

y = 50x+40

Answer:

Step-by-step explanation:

Wat

Answer:

tdxutdxfhdxfhx hd tudbtd tudbytd

Step-by-step explanation:

fc fcgbtufnyufnutfiygniygmyufniygnyigfntudb rsdut rd utddutestur dutrd uttu uhgugfutfuy8. f utfuy. dutugvu v gigv. uvv gihg ihg igg gv ugv vug ugf ugv ugv v igiugigougojgohgiohgk h. i gigiy gygiygiytiy

Answer:

a) 42

b) 42/120

Step-by-step explanation:

Oof, I was just about done with answering this question but I deleted it all by accident so I had to rewrite it.

Anyways, the first part of it is correct.

The second part of it is a bit harder. See, this is conditional probability, which uses the equation that I've attached below.

For Event A, you'll need the total boys / total students:

0.44166

For Event B, you'll need the total counters / total students:

0.83333

Now, plug these values into the equation. The weird U thingy is called "Union". It basically means "and".

P(A and B) / P(B)

P(0.44166 * 0.8333) / P(0.8333)

0.36803 / 0.8333

This is about 0.44165, or 53/120

Answer:

[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]

Where [tex]C[/tex] is the integration constant.

Step-by-step explanation:

We use integration by substitution to obtain the integral, where:

[tex]u = \sin 3x[/tex], [tex]du = 3\cdot \cos 3x\,dx[/tex]

[tex]I = \int {\sin 3x\cdot \cos 3x} \, dx[/tex]

[tex]I = \frac{1}{3} \int {u} \, du[/tex]

[tex]I = \frac{1}{6}\cdot u^{2} + C[/tex]

[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]

Where [tex]C[/tex] is the integration constant.

Answer:

8 nachos and 5 hot dogs

Step-by-step explanation:

Let x equal number of nachos

let y equal number of how dogs

1.5x + 2y = 22

x + y = 13

y = 13 - x

1.5x + 2(13 - x) = 22

1.5x + 26 - 2x = 22

1.5x - 2x = 22 - 26

-0.5x = - 4

x = -4/-0.5

x = 8

y = 13 - x

y = 13 - 8

y = 5

Answer:

x = -3

Step-by-step explanation:

7 + 2x/3 = 5

7*3 + 2x = 5*3 ( we multiply by 3 to remove the denominator )

21 + 2x = 15

2x = 15 - 21

2x = -6

x = -6/2

x = -3

Answer:

X=4

Step-by-step explanation:

Times both side by 3

then you get 7+2x=15

then minus 7 from both sides

2x=8

divide by 2

x=4

Answer:

225,000 revolutions

Step-by-step explanation:

An air conditioning fan makes 125 revolutions per second

The number of revolution in 30 minutes can be calculated as follows

60 secs= 1 min

x= 30 min

= 30×60

= 1800 secs

1800×125

= 225,000

Hence the airconditioning makes 225,000 revolutions in 30 minutes

Step-by-step explanation:

It will take 42.35 minutes to weed the garden together.

Why?

To solve the problem, we need to use the given information about the rate for both Laura and her husband. We know that she can weed the garden in 1 hour and 20 minutes (80 minutes) and her husband can weed it in 1 hour and 30 minutes (90 minutes), so we need to combine both's work and calculate how much time it will take to weed the garden together.

So, calculating we have:

Laura's rate:

\frac{1garden}{80minutes}

80minutes

1garden

Husband's rate:

\frac{1garden}{90minutes}

90minutes

1garden

Now, writing the equation we have:

Laura'sRate+Husband'sRate=CombinedRateLaura

′

sRate+Husband

′

sRate=CombinedRate

\frac{1}{80}+\frac{1}{90}=\frac{1}{time}

80

1

+

90

1

=

time

1

\frac{1*90+1*80}{7200}=\frac{1}{time}

7200

1∗90+1∗80

=

time

1

\frac{170}{7200}=\frac{1}{time}

7200

170

=

time

1

\frac{17}{720}=\frac{11}{time}

720

17

=

time

11

\frac{17}{720}=\frac{1}{time}

720

17

=

time

1

\frac{17}{720}*time=1

720

17

∗time=1

time=1*\frac{720}{17}=42.35time=1∗

17

720

=42.35

Hence, we have that it will take 42.35 minutes to weed the garden working together.

Answer: It's not equal to 20% discount.

Step-by-step explanation:

Let's assume the cost of a good is $100. Since there's 10% off on every item, the cost of the good will be:

= $100 - (10% × $100)

= $100 - $10

= $90

Since the coupon states that one will receive an additional 10% off, therefore the amount that the person will pay will be:

= $90 - (10% × $90)

= $90 - (0.1 × $90)

= $90 - $9

= $81

If the same good is $100 and there's a 20% discount, the amount that'll be paid will be:

= $100 - (20% × $100)

= $100 - (0.2 × $100)

= $100 - $20

= $80

Therefore, it's not equal to 20% discount.

Answer:

a=-4

Step-by-step explanation:

3(a+2)=-6

3a+6-6=-6-6

3a/3=-12/3

Answer:

32.966 ; 36.034)

Step-by-step explanation:

Given :

Sample size , n = 144

Mean, x = 34.5

Standard deviation = 7.9

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 98% = 2.33

Margin of Error = 2.33 * 7.9/√144 = 1.534

Lower boundary = 34.5 - 1.534 = 32.966

Upper boundary = 34.5 + 1.534 = 36.034

(32.966 ; 36.034)

Answer:

4

Step-by-step explanation: 16/4=4

Answer:

y= -2/5x + 5

Step-by-step explanation:

Answer:

y=-2/5x+5

is the answer

Answer:

C. 22

Step-by-step explanation:

The team played 75 games and 45 remaining.

75+45=120

60% of 120 = 0.6×120= 72

The team must win 72 games and they already won 50 games so the team has to win 72-50=22 games more.

Answer:

1/6th chance

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

there's only one 4 on a normal 1 to 6 die