8. The sum of two numbers is 23 less than twice the first number. Their difference is 19 less than
twice the second number. Find each of the numbers.

I'm assuming you meant to say

P(A) = 2/3

P(A and B) = 1/3

If that is the case, then A and B are independent if and only if the following equation is true

P(A and B) = P(A)*P(B)

So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it

-------------------------

P(A and B) = P(A)*P(B)

P(A)*P(B) = P(A and B)

(2/3)*P(B) = 1/3

P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3

P(B) = (1*3)/(3*2)

------------------------

If P(B) = 1/2, then

P(A and B) = P(A)*P(B)

P(A and B) = (2/3)*(1/2)

P(A and B) = (2*1)/(3*2)

P(A and B) = 1/3

Which is the given probability for both events happening. This confirms we have the correct P(B) value.

Answer:

We will fill 6 containers with 3/7 of another full

Step-by-step explanation:

Take the number of cups of flour and divide by the amount each container will hold

15 ÷ 2 1/3

Change to an improper fraction

15 ÷ ( 3*2+1)/3

15÷ 7/3

Copy dot flip

15 * 3/7

45/7

Change to a mixed number

6*7 = 42 with 3 left over

6 3/7

We will fill 6 containers with 3/7 of another full

Answer:

6 full and 3/7 of container

Step-by-step explanation:

15 cups divided by 2 1/3

(15) /2 1/3 =45/7=6.429  you need 7 containers

6 containers full and 3/7 of container

Answer:

0,.96 : 0.04 =24

Step-by-step explanation:

96 : 4 = 24 because 24 * 4 is 96

9.6 : 0.4 = 24 because 24 * 0.4 = 9.6

0.96 : 0.04 = 24 because 24 * 0.04 = 0.96

or

0.96 / 0.04 = 9.6 / 0.4 = 96 / 4 = 24

The result is number [tex]r[/tex] where:

[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]

Hope this helps.

Answer:

x = 40

Step-by-step explanation:

Step 1: Write out an equation

4/5(x) = 32

Step 2: Solve by dividing both sides by 4/5

x = 32/(4/5)

Use KCF (Keep Change Flip) if you do not have a calc.

x = 40

Answer:

The answer is 40

Step-by-step explanation:

32 times 5 is 160

then: 160 divided by 4 is 40.

check the answer: 4/5 of 40 is 32

because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.

Answer: Francisco is correct

Step-by-step explanation:

Positive 4 and positive 7

Negative 3 and negative 2

4 * 7 = 28

-3 * -2 = 6

Answer:

x+y=5a

5a is added to b which is the sum of x and y multiplied by 3. That is, b=x+y×3=5a×3=15a

Since, 5a is added to b= 5a+15a=20a,

Answer:

r = 5  

I just turned it in it was correct

Step-by-step explanation:

please mark brainliest

Answer:

7 = 2 + r

Step-by-step explanation:

So since we know the hanger is balanced, we can determine that r = the amt. of the other side - 2. =>

We can count the amt. of "1" on the side of the hanger with only 1 --> to get 7 "1" which is 7(1) = 7.

The other side with "r" has 2 "1" thus --> 2(1) = 2

So, 7 = 2 + r is our equation and if we were to solve for r, => r = 5

Hope this helps!

Answer:

d

Step-by-step explanation:

only a scalence triangle has all sides with different length

Answer:

g = 23/16

Step-by-step explanation:

3/16 = (-5/4) + g

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

Step-by-step explanation:

[tex]x \: and \: \frac{1}{2} x \: and \: \frac{ \sqrt{3} }{2} x[/tex]

because

[tex] \sin(30) = \frac{1}{2} \\ \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

Answer: your answer is A

Step-by-step explanation: when you have a 30 6090 triangle your sides will always have a set pattern. Decide across from the 30 angle will be equal to n decide across from the 60 angle Will always be equal to n sqared

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).  

Answer:The answer 60.7371385562.

Step-by-step explanation:

The square root of 3,689 is approximately 60.74.

[tex]\sqrt{3689} = 60.74[/tex] (approx)

Answer:

Rate of power generation when the sky is cloudy= 5 watts per hour.

Rate of power generation when the sky is clear = 32 watts per hour.

Step-by-step explanation:

A large solar panel can generate power at a maximum rate of 400 kilowatts per day.

Let the number of hours when the sky is cloudy =C

Let the number of hours when the sky is clear = L

Given the inequality:

[tex]5C+32L \leq 400[/tex]

The rate at which the solar panel generates power when the sky is cloudy is 5 watts per hour.

The rate at which the solar panel generates power when the sky is clear is 32 watts per hour.

Answer:

Box one: 5

Box two: 32

Part 2 is: No

Step-by-step explanation:

the 10 th term for the sequence 1,3,5,7..... is 19

Step-by-step explanation:

n = 1; 1st = 2*1–1=1;

n= 2; 2nd =2*2–1=3;

n =3; 3rd =2*3–1=5;

n=4; 4th =2*4–1=7;

n=5; 5th =2*5–1=9;

n=6; 6th =2*6–1=11;

n=7; 7th = 2*7-1= 13

n= 8; 8th = 2*8-1 =15

n = 9; 9th = 2*9-1 = 17

n= 10; 10th = 2*10-1 =19

Answer:

Step-by-step explanation:

Area of triangle = 1/2 × b × h

= 1/2 × 24 × 16

= 192 cm^2

Hope this helps

plz mark as brainliest!!!!

Answer:

192 cm²

Step-by-step explanation:

Area of a triangle is equal to base × height × 1/2.

24 × 16 × 1/2

384 × 1/2

= 192

Answer:

x/25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A percentage is the number over 100.

So to find, do 0.03 times 100 which equals 3

Answer:

-10 degree celsius

Explaination:

(-2) - 8

= -2 + -8

= -10 degree celsius

Hope this helps and pls mark as brianliest :)

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

To learn more on Equation:

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Answer:

x+8

Step-by-step explanation:

[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]

Hope this helps!

Answer:

x + 8

Step-by-step explanation:

3 × (x + 2) + 2 × (1 - x)

3(x + 2) + 2(1 - x)

Expand the brackets.

3(x) + 3(2) + 2(1) + 2(-x)

Multiply the terms.

3x + 6 + 2 + -2x

Rearrange.

3x + - 2x + 6 + 2

Add like terms.

1x + 8

Answer:

Length ≈ 31cm

Width ≈ 10cm

Step-by-step explanation:

[tex]Let -the-length-be : x\\Let-the-width-be :y\\\\According- to- the- question ; \\x = 3(y)\\x=3y ---------(1)\\2(l+w)=82\\2(x+y)=82\\2x+2y =82 --------(2)\\Substitute- the - given- value- for ; x -in - equation---(1) into -equation (2)\\2(3y)+2y =82\\6y+2y=82\\8y =82\\\frac{8y}{8} =\frac{82}{8} \\y = 10.25\\\\Substitute 10.25 -for ;y -in -eq 1\\x=3y ---------(1)\\x = 3(10.25)\\x = 30.75[/tex]

CHECK

[tex]Length =31\\Width = 10\\P = ?\\P= 2(l+w)\\P = 2(31+10)\\P = 2(41)\\P= 82cm[/tex]

Answer:

Domain:  

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

(-∞,∞),{x|x∈ℝ}

Range:  

[

−

4

,

∞

)

,

{

y

|

y

≥

−

4

}

[-4,∞),{y|y≥-4}

Step-by-step explanation:

Answer:

Approximate answer: [tex]66.36 \ cm^2[/tex]

Step-by-step explanation:

[tex]DM = 5.66\cdot \cot(65^\circ)[/tex]

Denote the projection of point [tex]B[/tex] onto side [tex]DC[/tex] as [tex]M'[/tex].

[tex]M'C = 5.66\cot(62^\circ)[/tex]

[tex]MM' = AB = 8.9[/tex]

[tex]DC = DM + MM' + M'C[/tex].

Next we should put everything together in area formula for trapizium:

[tex]S = AM\cdot\frac{AB + DC}{2}[/tex]

Answer:

x = 4 2/7

Step-by-step explanation:

2/3 x= -1/2x+5

Add 1/2 to each side

2/3 x 1/2 x = -1/2x+1/2x+5

2/3 x +1/2x =5

Get a common denominator

2/3x *2/2  + 1/2 *3/3 = 5

4/6x + 3/6x = 5

7/6x = 5

Multiply each side by 6/7 to isolate x

6/7 *7/6x = 5 *6/7

x = 30/7

Change to a mixed number

x = 28/7 + 2/7

x = 4 2/7

Answer: 125

Step-by-step explanation:

4/25 = 20/Y

Cross multiply to get the equation

4Y = 500

Divide both sides by 4

Y=125

y=5 when x=20.

Given that, y is inversely proportional to x. When y = 25 , x = 4.

We need to find the y value when x=20.

Inversely proportional variables or quantities are those in which if one variable increases the other will decrease, and if one variable decreases the other increases.

Now, y∝1/x

⇒y=k/x

⇒25=k/4

⇒k=100

Thus, the y value when x=20.

y=100/20=5

Therefore, y=5 when x=20.

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Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

Answer:

In the photo

Step-by-step explanation:

Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.

Answer:

the one above me is right expet for 2 of them purple and orange

Step-by-step explanation:

it was right on edge

Answer:

D.It is a trinomial with a degree of 3.

Step-by-step explanation:

3 terms one to the power of 3