Find the set of solutions for the linear system Use s1, s2, etc. for the free variables if necessary. ,

====================================

Explanation:

The order is important for ABC and XYZ so we can see what letters pair up.

Based on that, we can see that AB pairs with XY as they are the first two letters of ABC and XYZ respectively.

Divide the length XY over AB and reduce

XY/AB = 10/15 = 2/3

We could also divide XZ over AC

XZ/AC = 14/21 = 2/3

and we get the same ratio

Answer:

Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!

Step-by-step explanation:

9514 1404 393

Answer:

  $11.69 per pound

Step-by-step explanation:

To find price per pound, divide price by pounds:

  $46.76/(4 lb) = $11.69/lb

(6) 2xº = 86º  ==>  x = 43

(7) 108º = 3xº  ==>  x = 36

(8) 72º = 4xº  ==>  x = 18

(9) 111º = (x + 21)º  ==>  x = 90

Answer:

1.

2x=86

x=43

2.

3x=108

x=36

3.

4x=72

x=18

4.

x+21=111

x=90

Answer:

x= -3

Step-by-step explanation:

4x+1=3x-2

4x-3x=-2-1

x={-3}

Answer:

1 gallon water has leaked

Step-by-step explanation:

Answer:

8.05 cups per loaf

Step-by-step explanation:

divide 64.4 and 8

equation

64.4÷8=8.05

Answer: $1.67

Let's make an equation for the problem. To find the price for each sushi roll, divide the price by the number of sushi rolls.

30.06 ÷ 18 = 1.67

Answer:

60% would be the correct answer

Step-by-step explanation:

The girls percentage among students is 60%.

A percentage is a proportion that shows a number as parts per hundred. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

For the given situation,

Total number of students = 50

Number of boys = 20

Number of girls = [tex]50-20[/tex]

⇒ [tex]30[/tex]

Thus, girls percentage is

⇒ [tex]\frac{30}{50}(100)[/tex]

⇒ [tex]60[/tex]

Hence we can conclude that the girls percentage among students is 60%.

Learn more about percentage here

https://brainly.com/question/12861068

#SPJ2

Answer:

The beginning part is 19 seconds.

The middle part is 57 seconds.

The end part is 114 seconds.

Step-by-step explanation:

First, you have to form expressions. Let the end part be x :

Beginning = (1/6)x

Middle = (1/2)x

End = x

Next, you have to add up altogether equals to 190 :

(1/6)x + (1/2)x + x = 190

(5/3)x = 190

x = 190 ÷ (5/3)

x = 114 s

Lastly, you have to substitute the x-value into the expressions :

Beginning = (1/6)(114) = 19 s

Middle = (1/2)(114) = 57 s

End = 114 s

Answer:

b is 19 seconds

m is 57 seconds

e is 114 seconds

Step-by-step explanation:

total = b + m + e

total = 1/6e + 1/2e + e

190 = 1/6e + 1/2e + e

190 = 10/6e

190 * 3/5 = e

114 = e

(1/6)e = b = (1/6)(114) = 19

(1/2)e = m = (1/2)(114) = 57

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

Answer:

It is 3

Step-by-step explanation:

Answer:

It is 3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Integers are whole numbers that are positive and negative. Since -5 is an integer then is also a rational number because all integers are rational numbers

Answer:

32 ft

Step-by-step explanation:

First we can add up all the sides we already know as perimeter is the sum of all the lengths of a shape. 9+6+3+4 = 22

There are two unknown side lengths in the diagram, the long one at the top, and the short one between the 3ft side and the 4ft side. Luckily these can be easily found using the given sides. Since this shape is rectangular in nature (all 90-degree angles), the top length is the same as the bottom length. We know the total bottom length to be 7ft (3+4) so the top length must be 7ft as well.

Similarly, all the vertical lengths on the right side must be equal to the 9ft length on the left side, therefore the unknown length is 3ft (9-6).

Adding on these two new lengths and our total perimeter is 22+7+3 = 32ft.

Hope this helped!

Answer:

7 + 9x

Step-by-step explanation:

add 5 and 2 and 9x doesn't have a like term so it stays the same

Answer:

9x + 7

Step-by-step explanation:

Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.

Answer:

8 because this is a negitive and the oppisite is postivie so it is 8

Step-by-step explanation:

-8 is negitive on the oppisite side of the number line is positive 8 the answer is 8.

Answer:

The opposite of -8 is 8. The absolute value of -8 is 8.

Step-by-step explanation:

Answer:

[tex]x^2+1[/tex] cannot be factored, thus it's a prime polynomial

Step-by-step explanation:

A prime number or expression cannot be factored in any factor different from 1 and the number or expression itself.

One of the following expressions is prime. The rest of them can be factored.

[tex]x^3-1[/tex] is the difference of two cubes. It can be factored as:

[tex]x^3-1=(x-1)(x^2+x+1)[/tex]

[tex]x^3+1[/tex] is the sum of two cubes. It can be factored as:

[tex]x^3+1=(x+1)(x^2-x+1)[/tex]

[tex]x^2-1[/tex] is the difference of two squares. It can be factored as:

[tex]x^2-1=(x-1)(x+1)[/tex]

[tex]\mathbf{x^2+1}[/tex] cannot be factored, thus it's a prime polynomial

Answer:

47.56

Step-by-step explanation:

Answer:

subtract -4-6/5-5

Step-by-step explanation:

Answer is no solution

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180 (subtract 4 from both sides)

16x=176 (divide 16 from both sides)

x=11 (plug 11 into the angles)

9(11)+1=RQS & 7(11)+3=TQS

only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180

16x=176  

x=11  

9(11)+1=RQS & 7(11)+3=TQS

you only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary .

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

5(2c+5)

I hope this helps

Given:

[tex]f(x)=4x^3-5x^2-3x+2[/tex]

[tex]g(x)=x-3[/tex]

To find:

The remainder when f(x) is divided by g(x).

Solution:

According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).

Using remainder theorem, if [tex]f(x)=4x^3-5x^2-3x+2[/tex] is divides by [tex]g(x)=x-3[/tex], then remainder is f(3).

Substitute x=3 in f(x).

[tex]f(3)=4(3)^3-5(3)^2-3(3)+2[/tex]

[tex]f(3)=4(27)-5(9)-9+2[/tex]

[tex]f(3)=108-45-7[/tex]

[tex]f(3)=56[/tex]

Therefore, the required remainder is 56.

Answer:

-54

Step-by-step explanation:

(-5)^2 = -25

2(-25)+ -5 +1 =-54

Answer:

f(-5) = -2

Step-by-step explanation:

f(-5) = 2x2 + -5 -1

f(-5) = 4 - 6

f(-5) = -2

Answer:

4.2

Step-by-step explanation:

Answer:

I think its 3/2

hope it will help you