Martin needs 3.25 gallons of paint for his small barn and 1.25 gallons of paint for his shed. he spends $81 on paint, how much does the paint cost per gallon?​

Answer:

The sister is 25.5. The brother is 28.5.

Step-by-step explanation:

25.5 + 28.5 = 54.

The boy's age is 9.

The girl's age is 12.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Boy's age = x

Girl's age:

y = x + 3

Now,

x (x + 3) = 54

x² + 3x - 54 = 0

x² + (9 - 6) - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0

x = 6

x + 9 = 0

x = -9 ( cannot be negative)

Now,

x = 9

Boy's age = 9

Girl's age = 9 + 3 = 12

Thus,

The boy's age and the girl's ages are 9 and 12.

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Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Answer:

Step-by-step explanation:

a+b=58 and 4a-2b=28 is the system of equations

solving the first for a, a=58-b, using this value for b in second equation is

4(58-b)-2b=28

232-4b-2b=28

232-6b=28

-6b=-204

b=34, and since a=58-b

a=58-34

a=24

So the two numbers are 24 and 34

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

Answer:

2.57-0.4-0.4-0.4=1.37

2.57-0.4-0.4=1.77

so the answer is 1.37 between 3.77

Step-by-step explanation:

Answer:

x≥1

Step-by-step explanation:

Answer:

your answer will be option B

Step-by-step explanation:

[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]

Answer:

d. and e.

Step-by-step explanation:

i did the test

Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

The area of Rectangle is length times of width.

Given that A rectangular piece of glass is shown.

The length is measured as 4 feet.

The width is measured as 2 and one-half feet.

We have to find the  equations can be used to find the area of the piece of glass.

Area=Length×width

Area=4 feet × 2 and one-half feet

=4×[tex]2\frac{1}{2}[/tex]

=4×5/2

Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.

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Answer:

you 3.15+5 es igual a 8 .15

Step-by-step explanation:

espero que te sirva

Answer:

D

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf D. \ 64x^{12}y^6z^2}}[/tex]

Step-by-step explanation:

This is an example of a power to a power. The exponents inside the parentheses are being raised to another power outside the parentheses. We multiply the exponents and take the coefficients (number in front of the variables) to the power.

[tex](8x^6y^3z)^2[/tex]

Remember that a variable without an exponent has an implied exponent of 1.

[tex]8^2x^{6*2}y^{3*2}z^{1*2}[/tex]

Solve the coefficient's exponent.

[tex]64x^{6*2}y^{3*2}z^{1*2}[/tex]

Multiply the exponents.

[tex]64x^{12}y^{6}z^{2}[/tex]

So, the expression given is equal to Choice D: 64x¹²y⁶z²

Answer: x^2-5x+1

Step-by-step explanation:

A P E X

Answer:

50?

Step-by-step explanation:

31: 62*100 =

(31*100): 62 =

3100: 62 = 50

Answer:

its A

Step-by-step explanation:

Answer:

A. y=5.50x

Step-by-step explanation:

Brainlist plz

Answer:

[tex]m=\frac{2}{5}[/tex]

Step-by-step explanation:

1. To find the slope we need to use the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

2. The points that were given were (0,0) and (5,2). Let's plug those into the formula.

[tex]\frac{2-0}{5-0}[/tex]

[tex]\frac{2}{5}[/tex]

So, your slope would be [tex]m=\frac{2}{5}[/tex]

Hope this helped! C:

Answer:

it's c because it's the missing value

Answer:

21x+−6

work:

Combine Like Terms:

=8x+3x+10x+−6

=(8x+3x+10x)+(−6)

=21x+−6

Answer:

21x-6

Step-by-step explanation:

8x+3x+10x-6

8x+3x=11x+10x+21x

21x-6

you can only combine like terms

Answer:

21

Step-by-step explanation:

asdawda

6(3+2)

Step-by-step explanation:

that xas factor of 18+12

Answer:

30:)

Step-by-step explanation:

I think it's 30!!!!!

Answer:

A. x^2−x+6

B. 2x^2−11x+12

C. x^2−4

Step-by-step explanation:

Hope it helps

A. Distribute:

=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)

=x2+−3x+2x+−6

Combine Like Terms:

=x2+−3x+2x+−6

=(x2)+(−3x+2x)+(−6)

=x2+−x+−6

B. I can't find an explanation

C.  I can't find an explanation

Answer:

So we apply the distributive property to get

a) x^2 - 3x + 2x - 6

b) 2x^2 - 8x - 3x + 12

c) x^2 - 2x + 2x - 4

then we add like terms to get

a) x^2 - x - 6

b) 2x^2 - 11x + 12

c) x^2 - 4

brainliest please?

Answer:

6+4=10 and 10+5=15

Step-by-step explanation:

Answer:

it is 500500

Step-by-step explanation:

learned this fact a few years ago and it stuck with me.

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

Answer:

A

Step-by-step explanation:

[tex]\frac{3}{11} = 0.2727272727[/tex]

27 is repeating so you draw a line over the number

Answer: 0.27 thats the answer hope you pass your grade

Answer:

Speed = distance / time

= 6/3 =2 ft/sec

Time = distance / speed

= 60/2

= 30 seconds

Answer:

0.343

Step by step explanation:

 0. 3 4 3

8    2. 7 5 0

− 0      

 2 7    

− 2 4    

   3 5  

 − 3 2  

     3 0

   − 2 4

       6