Which situation explains when a system of equations has infinitely many solutions ?

Answer:

x = 20

F = 46

Step-by-step explanation:

For x :

( 20 )  * 2 = 40

40 + 3 = 43

For degrees F

Add triangles have a angle sum of 180

So you just subtract 180 by the angles in the triangle

180 - 91 = 89

89 - 43 = 46

46 is remaining so it is the missing degrees ( F )

Answer:

The ratio of red to blue would be 60: 6 which can be simplified to 10:1.

The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1

Ratio is the comparison of two quantities in terms of same units.

Example : If a & b be two numbers, then the ratio is a/b, where b≠0

Let Blue counters = x

Red counters would be = 3 times of blue counters = 3x

There are a total of 120 counters in a box.

First we have to find, the number of red and the number of blue counters:

3x + x = 120

⇒ 4x = 120

⇒ x = 120/4

⇒ x = 30

There are 30 blue counters.

Red counters = 3×30 = 90

Carl took 1/3 of the red, 90 / 3 = 30, so there were 60 red counters left in the box.

Kerry took 80% of the blue, 30 * 0.80 = 24, so there were 6 blue counters left in the box.

The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1.

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Answer:

7 + 3 = 10, difference means the answer to a subtraction problem, not sure I understand the question

Step-by-step explanation:

The given expression (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

Difference of numbers :

We have to express 7 + 3 as difference of two number.

As we know that,

           [tex]a-(-b)=a+b[/tex]

In above expression, (a + b) is difference of two number a and -b.

Similarly,

            [tex]7+3=7-(-3)[/tex]

Thus, (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

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Answer:

too far to be human

Step-by-step explanation:

in 10 mins i walk 1 mile

Answer:

96 miles

Step-by-step explanation:

There are 60 minutes in 1hr so 10*6= 60

16*6= 96

:)

Answers:

9) 16/100 = 8/50 = 4/25

10) >

Answer:4.2

Step-by-step explanation:

Answer:

The answer is B- 531^2

Step-by-step explanation:

l m f a o

your

pfp

The solution is, the area of the following figure is 360 in^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

For this case we have that by definition, the area of a rectangle is given by:

A = l*w

In this case, the rectangle is 18 in side, & 21 in.

then:

A = 18*21

   = 378

On the other hand, the area of a triangle is given by:

A = 1/2 b * h

Where:

b: It is the base of the triangle

h: It is the height

We have according to the figure that:

b = 21 - 17 = 4

h = 18 - 9 = 9

So:

A = 1/2 *4 *9

   =18

Finally, the area of the figure is:

378 - 18

=360

Answer: The solution is, the area of the following figure is 360 in^2.

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Question 4

The error was that in step 2, when distributing -3 into the parentheses, the person did not change the sign of 24 so that it was negative, since a negative number multiplied by a positive number will always make a negative number. Here is the correct way to solve this equation:

[tex]-5x+12-7x=-3(5x+8)\\-12x+12=-3(5x+8)[/tex]

Distrubute -3 into the parentheses

[tex]-12x+12=-15x-24[/tex]

Subtract both sides by 12

[tex]-12x+12-12=-15x-24-12\\-12=-15x-36[/tex]

Add 15x to both sides

[tex]-12+15x=-15x-36+15x\\3x=-36[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} =\frac{-36}{3} \\x=-12[/tex]

Question 5

The error was that 2 was added on both sides in step 5 instead of being subtracted from both sides. Here is the correct way to do it, starting from step 4:

[tex]10=16x+2[/tex]

Subtract both sides by 2

[tex]10-2=16x+2-2\\8=16x[/tex]

Divide both sides by 16

[tex]\frac{8}{16} =\frac{16x}{16} \\\frac{1}{2}=x[/tex]

I hope this helps!

Answer:

9 pounds

Step-by-step explanation:

I converted it

Step-by-step explanation:

3/5 is the correct answer to this

Step-by-step explanation:

.41 is biggee than 3/5......

Answer:

473 yd²

Step-by-step explanation:

bottom area = 11x11 = 121 yd²

each of the 4 sides = 11x16x0.5 = 88 yd²

4(88) + 121 = 473 yd²

Answer: #1) y=5x-73

#2) y= 2/5x - 47/5

Step-by-step explanation:

Answer:

b. 3.3 centimeters

Step-by-step explanation:

[tex]\frac{7}{x} =\frac{15}{7} \\\\15x = 49\\x=3.3[/tex]

Answer:

a) 0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.

b) 5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.

c) 5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The mean number of hurricanes in a certain area is 5.3 per year.

This means that [tex]\mu = 5.3[/tex]

a. Find the probability that in a year, there will be 3 hurricanes.

This is P(X = 3).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = x) = \frac{e^{-5.3}*5.3^{3}}{(3)!} = 0.12386[/tex]

0.12386 = 12.386% probability that in a year, there will be 3 hurricanes.

b. in a 45-year period, how many years are expected to have 3 hurricanes ?

0.12386 each year. So, for 45 years:

45*0.12386 = 5.57

5.57 years are expected to have 3 hurricanes, that is, between 5 and 6 years.

c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 3 hurricanes? Does the Poisson distribution work well here?

5 years is very close to the mean of 5.57, which means that the Poisson distribution works well here.

Answer:

14m+35 is your answer ☺️☺️☺️

Answer:

14m+35

Step-by-step explanation:

7(2m+5)

7(2m)+7(5)

14m+35

Step-by-step explanation:

C≈3.54

Using the formulas

A=πr2

C=2πr

Solving for C

C=2πA=2·π·1≈3.54491

Answer:

-2x - 4

Step-by-step explanation:

Is your expression

-2 x x = -2x

-2 x 2 = 4

therefore, your expression would be:

-2x - 4

Answer:

-2(x + 2)= -2x - 4

Step-by-step explanation:

Answer:

217

Step-by-step explanation:

You would do the area of the big rectangle and subtract the areas of the two triangles. The triangles add up to 63 and the rectangle is 280 ft^2

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

12 degrees below 0 means -12 Degrees

hope it helps you,

Follow me!

Answer:

-3

Step-by-step explanation:

Answer:

(y-2x)(3x+y)

B

Answer:

[tex]B. \left(y-2x\right)\left(y+3x\right)[/tex]

Step-by-step explanation:

[tex]y^2+xy-6x^2[/tex]

Break the expression into group:

[tex](yx^{2} -2xy)(3xy-6x^{2} )[/tex]

factor out  [tex]y[/tex] from [tex]y^{2} -2yx:y\left(y-2x\right)[/tex], and factor out, [tex]3x[/tex] from [tex]3yx-6x^2:3x\left(y-2x\right)[/tex]

[tex]y\left(y-2x\right)+3x\left(y-2x\right)[/tex]

Now, factor out common terms: [tex]y-2x[/tex]

[tex]\left(y-2x\right)\left(y+3x\right)[/tex]

_________________

OAmalOHopeO

Answer:

A. 2

Step-by-step explanation:

Formula for slope of a line (m) = change in y / change in x = ∆y/∆x

Using the coordinates of two points on the line, (1, -4) and (6, 6):

Slope (m) = (6 - (-4)) / (6 - 1) = 10/5 = 2

Slope (m) = 2

Answer:

2

Step-by-step explanation:

m - 5 • n + 5

plug it in

27- 5 * 4+5

well, we gotta follow PEMDAS (there are no parentheses)

5*4

20

now we have

27-20+5

20+5

25

27-25

2

Answer:

43

Step-by-step explanation:

43 miles for every 1 gallon of gas