What is the area of this triangle?

Answer:

Let's solve for x.

−5x + 4y = 3

Step 1: Add -4y to both sides.

−5x + 4y+ −4y =3+ −4y

−5x = −4y +3

Step 2: Divide both sides by -5.

-5x divided by 5 = -4y+3 divided by -5

x=4/5y + −3/5

Step-by-step explanation:

Answer:

solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]5x^2 - 16 = 29[/tex]

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

[tex]5x^2 - 16 = 29[/tex]

Add 16 on both sides

[tex]5x^2 - 16+16 = 29+16\\5x^2=45[/tex]

Now, divide both sides by 5

[tex]\frac{5x^2}{5}=\frac{45}{5} \\x^2=9[/tex]

Now, we know that [tex]\sqrt{x^2}=\pm x[/tex]

Taking square root on both sides.

[tex]\sqrt{x^2}=\sqrt{9}\\x=\pm3[/tex]

So, we get values of x:

[tex]x=3, x=-3[/tex]

Therefore, solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Answer:

the slope is 1

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

2^3=8

8x3=24

24+6=30

Answer

Step-by-step explanation:

You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.

                     Pink Lemonade         Yellow Lemonade       TOTAL

Male                    156                                104                          260

Female                  72                               48                          120

TOTAL                 228                               152                         380

P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6

Independents events are events that can happen independently on their own. Events A and B are independent if P(A|B) = P(A).

The "prefer pink" event and "female" event are independent because [tex]P(P|F) = P(P) = 0.6[/tex]

To do this, we make the following representations:

[tex]P \to[/tex] Pink Lemonade

[tex]Y \to[/tex] Yellow Lemonade

[tex]M \to[/tex] Male

[tex]F \to[/tex] Female

The "prefer pink" event and "female" event are independent if:

[tex]P(P|F) = P(P)[/tex]

[tex]P(P|F) \to[/tex] the probability that a selected person prefers pink provided that the person is female

[tex]P(P) \to[/tex] the probability that a selected person is female

P(P| F) is calculated as:

[tex]P(P| F) = \frac{n(P\ n\ F)}{n(F)}[/tex]

i.e. the number of females who prefers pink divided by the number of females

From the table, we have:

[tex]n(P\ n\ F) = 72[/tex]

[tex]n(F) = 72 + 48 =120[/tex]

So, the probability is:

[tex]P(P| F) = \frac{72}{120}[/tex]

[tex]P(P| F) = 0.6[/tex]

[tex]P(P)[/tex] is calculated as:

[tex]P(P) = \frac{n(P)}{Total}[/tex]

i.e. the all people who prefer pink divided by total number of people

From the table, we have:

[tex]n(P) = 156 + 72 = 228[/tex]

[tex]Total = 156 + 72 + 104 + 48 = 380[/tex]

So, the probability is:

[tex]P(P) = \frac{228}{380}[/tex]

[tex]P(P) = 0.6[/tex]

Recall that:

The "prefer pink" event and "female" event are independent if:

[tex]P(P|F) = P(P)[/tex]

And we have:

[tex]P(P| F) = 0.6[/tex]

[tex]P(P) = 0.6[/tex]

Hence, the events are independent because:

[tex]P(P|F) = P(P) = 0.6[/tex]

Option (a) is correct

Read more about independent events at:

https://brainly.com/question/12543071

Answer:

300, 120, 80 and 32 respectively.

Step-by-step explanation:

To break it down for easy multiplication, write

38 as 30 + 8

14 as 10 + 4

Now let's multiply

(30 + 8)(10 + 4) = 300 + 120 + 80 + 32

So the areas of each part would be

300, 120, 80 and 32 respectively.

Answer:

The Answer to your question is x<-7 Hope This could Help

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3x+6>15

Step 1: Subtract 6 from both sides.

−3x+6−6>15−6

−3x>9

Step 2: Divide both sides by -3.

−3x/−3>9/−3

pls mark as brainliest

Answer:

4x and (1-y)

Step-by-step explanation:

4x(1-y)

this is my answer

The factors of the expression are 18x and 4-y

Given the expression 72x - 18xy

Find the factor of each term:

72x = 18 * 4 * x

18xy = 18 * x * y

Since 18x is common to both terms, hence the factored form is expressed as:

72x - 18xy = 18x (4 - y)

The factors of the expression are 18x and 4-y

Learn more on factors here: https://brainly.com/question/24539261

20cm×15 cm =300

32

/100 = 0.32

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

All areas are in cm^2. For a width w, the border will have an area equal to the product of its centerline length and its width:

  border area = 2((20-w) +(15-w))·w = w(70 -4w)

This area is 32% of the total cover area, so is ...

  0.32(20)(15) = 96

Equating these expressions for the area gives ...

  96 = 70w -4w^2

  w^2 -17.5w = -24 . . . . . divide by -4

  w^2 -17.5w +8.75^2 = -24 +8.75^2 . . . . . complete the square

  (w -8.75)^2 = 52.5625 . . . . simplify

  w -8.75 = ±√52.5625 = ±7.25

A border width only makes sense if it is between 0 and 7.5 cm, so the appropriate value for w is ...

  w = 8.75 ± 7.25 . . . . . . . . . add 8.75

  w = 8.75 -7.25 = 1.50 . . . . . the solution w=16 makes no sense

The border width is 1.5 cm.

Answer:

53.4

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Answer:

I got X = -6 hope I'm right

Answer:

872 is the final answer

Step-by-step explanation:

Answer: The answer is 872

Step-by-step explanation:

Answer:

7 a.m is 5.5

Step-by-step explanation:

(6=4)+1.5=(_+1.5)

make a T chart

thats how it should work for you

Answer:

D

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-5 -15 = -20

-20+4 = -16

-16+15 = -1

Therefore, -5-15+4+15 = -1

Answer:

SSS or SAS

Step-by-step explanation:

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

Use the SOH CAH TOA

Step-by-step explanation:

Angle = 60°

x = opposite o

y = adjacent a

10√ 3 = hypotenuse h

To find x we use SOH {sineø = o/h}

Sin 60° = x/10√ 3

x=10√ 3 * sin 60

X=15

You can use Pythagoras theorem or CAH{cosø = a/h}

Cos 60°= y/10√ 3

y=Cos 60° * 10√ 3

y=5√ 3

Answer:

B

Step-by-step explanation:

Answer:

its B becuase the exspresion of it is the hours of the 16 like 8 16 like that

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

Please mark me brainleist

Answer:

M+R=30

2M+5R=75

R=5

M=25

Step-by-step explanation:

-2(M+R=30)

2M+5R=75

-2M-2R=-60

2M+5R=75

__________

3R=15

R=5

2M+5(5)=75

2M+25=75

2M=50

M=25