Use Cramer's rule to solve for x
x + 4y - z=-14
5x + 6y + 3z = 4
-2x + 7y + 2z = -17

Answer:

Planteas un sistema de ecuaciones 2x2 y solucionas por el método que prefieras.

Step-by-step explanation:

Edad de Jorge: j

Edad de Pedro: p

    [tex]\left \{ {{j=3p}\atop {j+10=2(p+10)}}\right.[/tex]

Ec (1) en Ec (2)

[tex]3p+10=2(p+10)[/tex]  → [tex]3p+10=2p+20[/tex] → [tex]3p-2p=20-10[/tex] → [tex]p=10[/tex]

Reemplazamos en Ec (1)

[tex]j=3(10)[/tex] → [tex]j=30[/tex]

Por ende, Jorge tiene 30 años y Pedro 10

Answer:

answer 1 goes in 1st box

answer 2 goes in box 3

answer 3 goes in box 2

answer 5 goes in the last box

answer 4 goes in 2nd to last box

Step-by-step explanation:

Answer:

8 tablespoons of butter.

Step-by-step explanation:

12/3= 4

4x2= 8

Answer:

40

Step-by-step explanation:

Firstly, i solved for the first pair of parenthesis and got 20. If there is no sign in between a pair of brackets of parenthesis  its multiplication

Put as brainliest if you wish

Answer:

0.3137 ; 0.2228

Step-by-step explanation:

Given a normal distribution :

Morning class :

Mean(Mm) = 71%

Standard deviation (Sm) = 12%

Afternoon class:

Mean(Ma) = 78%

Standard deviation (Sa) = 8%

M = Mm - Ma = (71 - 78) = - m7

S = √Sm + Sa = √12² + 8² = √208

A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class?

P(morning > afternoon) = p(morning - afternoon > 0)

Using:

Z = (0 - (-7)) / S

Z = 7 / √208

Z = 0.4853628

P(Z > 0.49) = 0.3137

B)

What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class?

Using:

Z = (4 - (-7)) / S

Z = 11 / √208

Z = 0.7627127

P(Z > 0.49) = 0.2228

In the construction of the equilateral triangle EFG inscribed in a circle, Chase can find points F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E.

It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.

After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius the circle.

In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.

Learn more about triangles on:

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Answer: D

Step-by-step explanation:

I got it write on edmentum

Answer:

4 : 7

Step-by-step explanation:

Answer:

X=115/22

Step-by-step explanation:

22x-15=100

22x=100+15

22x=115

X= 115/22

Answer:

For inequation 1:

(2, 6)(1, -3)(-2, 5)

For inequation 2:

(2, 6)(-1,-1)(-3. 4)(1,-3)

For the system:

(2, 6)(1, -3)

Step-by-step explanation: got it right on the test

Answer:

C. 12

Step-by-step explanation:

[tex]4x=2x+6[/tex]

[tex]4x-2x=6[/tex]

[tex]2x=6[/tex]

[tex]x=3[/tex]

~

[tex]AB=4x\\=4(3)\\=12[/tex]

~

Therefore, your answer is C) 12 !!!!!!

Answer:

x = -10

Step-by-step explanation:

2(x + 3) = x - 4

2x + 6 = x - 4

x = -10

Answer:

b. 625

Step-by-step explanation:

you just have to find the square root

which is 25

the rest have decimals

Answer:

Well "0.0000000025 x 6" is "1.5e-8" but

Step-by-step explanation:

Sadly I can't explain anything, It's just not one of my skills :(

The 6 times the width of DNA in Scientific notation will be 1.5 × 10⁻⁸.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The width of DNA is approximately 0.0000000025 meters wide.

The 6 times the width of DNA in Scientific notation will be given as,

⇒ 6 × 0.0000000025

⇒ 6 × 2.5 × 10⁻⁹

⇒ 1.5 × 10⁻⁸

The 6 times the width of DNA in Scientific notation will be 1.5 × 10⁻⁸.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

I think it's 2

Step-by-step explanation:

You have to put x and y in the right places where they belong, where x = - 1 and y = 2, that's it !

Answer:

There is no particular formula for integer as it is nothing but a set of numbers. But there are certain rules when we perform any mathematical operations like addition, subtraction, etc on integers: Adding two positive integers will always result in a positive integer.

Step-by-step explanation:

Answer:

26x + 25

Step-by-step explanation:

3/4(8x + 12) + 4/5(25x + 20)

Distribute

3/4(8x) + 3/4(12) + 4/5(25x) + 4/5(20)

24/4x + 36/4 + 100/5x + 80/5

Reduce the fractions

6x + 9 + 20x + 16

Combine like terms

26x + 25

Answer:

3/8

Step-by-step explanation:

3/4 x 1/2 = 3/8

3/8 x 1/1 = 3/8

Hope that helps!

Answer:

180 months

Step-by-step explanation:

15x12=180

Answer:

180 months

Step-by-step explanation:

Hope I helped:)

-Adiel

Answer:

x + 5 ≥ 25 [Inequality]

Minimum no. of hours = 15 hours

Step-by-step explanation:

Given :-

Price of video game console = $500

Money in hand = $100

Rate at which money is gained = $20/h

To Find :

Inequality to represent the situation

Variables :-

h = number of hours

Solving :-

20x + 100 ≥ 500

x + 5 ≥ 25 [Inequality]

x + 5 ≥ 20

x ≥ 15

Minimum no. of hours = 15 hours

Answer:

6

Step-by-step explanation:

5y - 12 = 18

5y = 30

y = 6

Answer:

I would say five, not positive though. if it isn't five then i'd say 12!

Step-by-step explanation:

Answer

2.5

Step-by-step explanation:

125 vitamins, 20 milligrams in each.

convert 20 milligrams to grams, 0.02

multiply 0.02 by 125

2.5

Answer2.5

Step-by-step explanation:

hope it helps

If we plot it, we see that the two inequalities have no commonality in any range of numbers.

Thus I think it never alerts.(( I'm not sure about it ))

Answer:

Make a presentation/video explaining how you convert the measures of length stated, using an object. Use different objects for different lengths. I'm guessing you do online school? So, send it to your teacher or instructor when you're done.

Answer:

Step-by-step explanation:

your answer if 4

Answer:

12.87  12.1  12.07  12.07

Step-by-step explanation:

Answer:

55°

Step-by-step explanation:

In the triangle towards the bottom-left, we can see that it is an iscosceles triangle, which means that the two angles opposite of those two sides are also equal. Along with this, a triangle will also only have 180° for the sum of all of its angles.

When you put another x in the angle next to the 37°, you get an equation similar to:

[tex]x+x+37+33 = 180\\2x + 70 = 180\\2x = 110\\x = 55[/tex]

x in this case will then be 55 degrees.

The given area of the shape of 57.8·π cm², and length of the slant sides

being a factor of the radius, gives the length of the radius as 3.4 cm.

Given;

Radius of the two cones are equal.

Slant height of one cone = 2 × Radius

Slant height of the other cone = 3 × Radius

Surface area of the shape = 57.8·π cm²

The curved surface area of a cone = π·r·l

Required:

The radius of the cone.

Solution;

Surface areas of the cones are therefore;

π·r × 2·r, and π·r × 3·r

The total surface area is therefore;

π·r × 2·r + π·r × 3·r = 57.8·π

5·r²·π = 57.8·π

Which gives;

r² = 57.8 ÷ 5 = 11.56

r = √(11.56) = 3.4

Learn more about finding the surface area of 3-D shapes here:

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