Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24

She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.

Step 3: 4x + y = 24

4(5) + y = 24

20 + y = 24
-20 -20

y = 4




Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)


+ 12x + 3y = 72
14x = 70

→ x = 5



Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.

Step 3: 4x + y = 24

4x + 4 = 24
-4 -4

4x = 20

x = 5


Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)


Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28

→ y = 4



“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”

Explain how you know that a system od equations has an infinite numbe of solutions.

Answer:

Please check the explanation.

Step-by-step explanation:

Given

P(Z > 1.96)

To determine

What probability expression is equivalent to P(Z > 1.96)

Suppose Z is a standard normal variable.

Therefore,

P(Z > 1.96) = 1 - P(Z ≤ 1.96)

solving

                 = 1 - Ф(1.96)

                 = 1 - 0.9750

                 = 0.0250

The probability of the expression being equivalent to P(z > 1.96) is calculated as 0.0250.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The given information is P(z > 1.96)

Let z is a standard normal variable. Then we have

P(z > 1.96) = 1 – P(z ≤ 1.96)

P(z > 1.96) = 1 – 0.9750

P(z > 1.96) = 0.0250

More about the z-score link is given below.

https://brainly.com/question/13299273

Answer:

-0.333333333333

Step-by-step explanation:

Answer:

This will be as a decimal: 0.33333333333

Step-by-step explanation:

0.4 = 2/5. 0.33333333333… =1/3. 0.237 = 237/1000.

Answer:

64 books

Step-by-step explanation:

The first step is to find the number of books that will fit in the shelve per foot

= 40/5

= 8

Therefore the number of books that will fit perfectly in 8-foot shelf can be calculated as follows

= 8×8

= 64

Hence 64 books would fit in 8-foot shelf

Answer:

The answer is y = 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

~Hoped this helped~

~Brainly, please?~

Answer:

80 degrees because if you look at 1 its 62 plus 18

Answer:

go to photo math on your phone it will help you and please give me brainleist

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

1/8 = 0.125

12 = 12

0.125 and 12 do not match; the expression is false.

Answer:

one gallon is $3.80

Step-by-step explanation:

divide 28.12 by 7.4 then bam

Answer:

BOTH ARE CORRECT

Step-by-step explanation:

Given that:

Triangle ABC Is right angled ;Angle ABC

Hypotenus = 15

If legs are 9 and 12 units long ;

From Pythagoras :

9² + 12² = hypotenus²

81 + 144 = 225²

2.) if:

B = 20° ; BC = will be

Using :

Cos θ = BC / 15

Cos 20 = BC / 15

BC = Cos 20 * 15

BC = 0.939692 * 15

BC = 14.09

BC = 14.1

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

=10.7

The length of f from the given triangle FGH is 10.7 inches.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.

Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°

f² = 57.76+10.24-48.64×(- 0.9396)

f² = 68+45.70

f² = 113.7

f = √113.7

f = 10.7 inches

Therefore, the length of f is 10.7 inches.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ3

Answer:

x + 6.8 = 8.9

Step-by-step explanation:

First let's break this sentence down into parts.

A number increased by 6.8 is 8.9.

"A number" - This value is unknown, therefore we will represent it with x.

"increased by" - This signifies that we will be adding.

"is" - This represents the equal sign (=)

Now let's put these together.

x + 6.8 = 8.9

This is your expression.

Hope this helps!

Answer: 11

Step-by-step explanation:

Based on the information that have been given in the question, we can use the information to form an inequality which goes thus:

5 + 9.95h < 125

9.95h < 125 - 5

9.95h < 120

h < 120/9.95

h < 12.06

h < 12

Therefore since h is less than 12, the greatest number of hat that can be ordered will be 11.

Answer:

Step-by-step explanation:

No, the answer is y=-0.30x2-0.48x+15.83

Answer: 751

Step-by-step explanation:

Answer:

751

Step-by-step explanation:

delta math

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

Answer:

Y = 5/2x - 8

Step-by-step explanation:

m = 5/2

Answer:

16/5

Step-by-step explanation:

Since y varies inversely as x,  then xy = k  

                                                          2(8) = 16 = k

Therefore, xy = 16

Now,  5x = 16

x = 16/5

Answer:

x=3

Step-by-step explanation:

Answer:

17x+11

Step-by-step explanation:

-10x+20-9+27x

-10x+27=17x

20-9=11

17x+11

Answer:

Step-by-step explanation:

Here you go :)

Step 1

5(-2x + 4) - 9(1 - 3x)  Question

Step 2

5(-2x + 4) - 9(1 - 3x)  Remove parenthesis

-10x+20+-9+27x

Step 3

-10x+20+-9+27x  combine terms

17x+11

Answer

17x+11

Answer:

Hey, I'm not sure if my assumptions were correct or not because there is no diagram. I assumed the triangle to be equilateral, the two lines are parallel and the height of the triangle is 1.

Step-by-step explanation:

Since the triangle is parallel*, we can just use ratio and proportion.

[tex] \frac{rise}{run} = \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ 1(9x - 59) = 0.5(34 - x) \\ 9x - 59 = 17 - .5x \\ 9x + 0.5x = 59 + 17 \\ 9.5x = 76 \\ x = \frac{76}{9.5} \\ x = 8[/tex]

Now that we had found the value of x, we will now substitute that to both equations to get the respective distances.

CE = 34 - x = 34 - 8 = 26

Answer:

only 1 and 2 are correct

Step-by-step explanation:

Here, we want to select appropriately

From the question, all we had to do is to make a subtraction; and that is;

3 5/12 -2 2/3

1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes

2. 3 15/36 can be reduced to 3 5/12

and 2 24/36 can also be reduced to 2 2/3; so this is correct also

3. This is wrong

4. This is wrong

Answer:

7.9

Step-by-step explanation:

Answer:

100 x 0.0075 :)

or 1 x 0.75 or 10 x 0.075

Given:

The side of the square garden is 30ft.

To find:

The length of the diagonal of the square garden.

Solution:

We know that, the length of the diagonal of a square is

[tex]d=a\sqrt{2}[/tex]         ...(i)

Where, a is the the side of the square.

We have,

Side of the square garden = 30 ft.

Putting a=30 in (i), we get

[tex]d=30\sqrt{2}[/tex]

The measure of the diagonal path is [tex]30\sqrt{2}[/tex] ft.

Therefore, the correct option is D.

Answer:

y=60x; 60 X 12= 720

Step-by-step explanation:

Answer:

60 x 12= 720

Car A will travel 720 miles

Step-by-step explanation:

PLZ mark me brainliest

Answer:

BC = 4 cm

BE = 10.39

Step-by-step explanation:

ABCD is an isosceles trapezoid.

Measures of base angles of an isosceles trapezoid are equal.

[tex]\therefore m\angle ABC = m\angle DCB [/tex]

[tex]\because m\angle DCB = 120\degree [/tex]

[tex]\therefore m\angle ABC = 120\degree [/tex]

[tex] m\angle ABE = 120\degree-90\degree [/tex]

[tex] m\angle ABE = 30\degree [/tex]

in triangle ABE,

[tex]\cos 30\degree =\frac{BE}{12}[/tex]

[tex]\frac{\sqrt 3}{2} =\frac{BE}{12}[/tex]

[tex] BE = \frac{\sqrt 3\times 12}{2} [/tex]

[tex] BE =6\sqrt 3\: cm[/tex]

[tex] BE = 10.39 cm[/tex]

[tex]\sin 30\degree =\frac{AE}{12}[/tex]

[tex]\frac{1}{2} =\frac{AE}{12}[/tex]

[tex] AE = \frac{12}{2} [/tex]

[tex] AE =6 \: cm[/tex]

Next, Draw [tex] CF\perp AD [/tex]

FD = AE = 6

EF = 16 - (AE + FD) = 16 - (6+6) = 16-12

EF = 4 cm

BCFE is a rectangle.

Measures of the opposite sides of a rectangle are equal.

Therefore

BC = EF

BC = 4 cm

Answer:

A sampling distribution of the sample proportion with n = 20 and p = 0.8

Step-by-step explanation:

We are given that

The probability of tails of a weighted coin, p=0.8

n=20

We have to find the type of distribution is simulated if this procedure repeated 75 times .

Random variable is a proportion of number of tails therefore, type of distribution is   sampling distribution of the sample proportion.

We have n=20 and p=0.8

Hence, we can say that type of distribution is simulated is given by

A sampling distribution of the sample proportion with n = 20 and p = 0.8

Answer:

I chose answer D. A binomial distribution with n=20 and p=0.8, No clue if correct or not

Step-by-step explanation:

Answer:

AllianceRMMS.com

2 points

3) Tati wants to save money to be ready to shop for presents during

Christmas 2021. Tati has $25 in her piggy bank and continues to save $40

per month. What is the rate of change and constant; write Tati's savings

plan in slope-intercept form.*

O y = 65 next month

O y = 25x + 40

y = 40x + 25

O y = 15x + 25

do thatand u find out

Step-by-step explanation:

Answer:

y<1

Step-by-step explanation:

Answer:

3.333333....

Step-by-step explanation: