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ser-zykov [4K]
3 years ago
12

The Jones family was one of the first to come to the U.S. They had 9 children. Assuming that the

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer:

At least 7 girls: 0.5^7 OR 0.0078125

At least 8 girls: 0.5^8 OR 0.00390625

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I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!
Colt1911 [192]

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

10x = 80

x = 8

Replace x with 8 in the second equation.

3(8) - 2x = 0

24 = 2x

x = 12

Answer: x = 8, and y = 12

8 0
3 years ago
Read 2 more answers
Graph y=-2x. give the domain and range. is the function dicrete or continou?
r-ruslan [8.4K]

Answer:

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

6 0
2 years ago
3/4 ÷ 1/6 help plz ​
Tresset [83]

Answer:

4 1/2

Step-by-step explanation:

3/4 divided by 1/6 turns into 3/4 divided by 6/1, but then you multiply instead so its 3/4 x 6/1 = 4/12

7 0
3 years ago
Read 2 more answers
Calculate the distance between each given pair of points. Round your answer to the nearest tenth, if necessary.
Ksju [112]
The answer is 5 

Here are the steps:

First off, we will be using the distance formula of 
d=\sqrt{(x_ {2}- x_{2}) ^{2}+( y_{2}- y_{1})^2     }

So we have the ordered pairs of (3,1) and (6,5)

Once you plug them into the formula it should look like this: 
d= \sqrt{(6-3)^2+(5-1)^2}

Now we do the math inside the parenthesis and end up with:
d=\sqrt{3^2+4^2}

Then you multiply by the power and simplify to get:
d=\sqrt{25}

And the \sqrt{25}=5

So your answer is 5
8 0
3 years ago
Need help Asap thank you in advance
julia-pushkina [17]

Answer:

12x^4-20x^2+32x=4x(3x^3-5x+8)

Step-by-step explanation:

<u>Common Factors</u>

An algebraic expression that is formed by sums or subtractions of terms can be factored provided there are numeric or variable common factors in all the terms.

The following expression

Z=12x^4-20x^2+32x

Can be factored in the constants and in the variable x.

1. To find the common factor of the variable, we must locate if the variable is present in all terms. If so, we take the common factor as the variable with an exponent which is the lowest of all the exponents found throughout the different terms. In this case, the lowest exponent is x (exponent 1).

2. To find the common factors of the constants, we take all the coefficients:

12 - 20 - 32

and find the greatest common divisor of them, i.e. the greatest number all the given numbers can be divided by. This number is 4, since 12/4=3, 20/4=5 and 32/4=8

3. The factored expression is

Z=12x^4-20x^2+32x=4x(3x^3-5x+8)

\boxed{12x^4-20x^2+32x=4x(3x^3-5x+8)}

3 0
3 years ago
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