Determine the number of solutions 3x + 1 = 4x - 2
A) One solution
B) Infinitely many solutions
C) No solution

Answer:

32, because when you are dividing by a fraction, you can multiply by the divident by reciprocal of the divisor.

Step-by-step explanation:

4 ÷ 1/8

4/1 ÷ 1/8

4/1 × 8/1

4 × 8

32

When you are dividing by a fraction, you can multiply by the divident by reciprocal of the divisor.

Answer:

32

Step-by-step explanation:

4

1

1

8

=(

4

1

)(

8

1

)

=

(4)(8)

(1)(1)

=32

Answer:

x=-8 or x=-1 (first option)

Step-by-step explanation:

[tex]\sqrt{1-3x}=x+3\\1-3x=(x+3)^{2} \\[/tex]

now expand the bracket on the right

[tex]1-3x=x^{2} +6x+9\\simplify:\\1-9=x^2+6x+3x\\-8=x^2+9x\\[/tex]

now make it a quadratic equation:

[tex]x^2+9x+8=0\\factorise:\\(x+1)(x+8)\\so:\\x+1=0 \\x=-1\\\\and \\x+8=0\\x=-8[/tex]

Answer: [tex]1\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The equation in terms of a is

[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]

Answer:

The ramp is safe.

The unknown angle measure is, ([tex]23.6[/tex])

Step-by-step explanation:

Assume that the ground makes a (90) degree angle with the wall. This means that the formed triangle is a right triangle. Thus, one can use the right angle trigonometric ratios. These ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

The hypotenuse is the side opposite the right angle of a right triangle. This side's name doesn't change. However, the (opposite) and (adjacent) sides change names based on the angle one is using to describe them in the ratio.

In this case, one is given the side opposite to an angle, as well as the hypotenuse. However, one isn't given the measure of the angle. Thus, one should use the ratio of sine (sin) to find the unknown side. Let theta ([tex]\theta[/tex]) represent the measure of the unknown angle.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(\theta)=\frac{2}{5}[/tex]

Inverse operations,

[tex]\theta=sin^-1(\frac{2}{5})[/tex]

Simplify,

[tex]\theta=23.578178[/tex]

Since the value of ([tex]\theta[/tex]) is less than (30) degrees, the ramp can be used safely.

Note: Consider the below frequency distribution table of the ages of the participants is attached with this question.

Given:

The frequency distribution table of the ages of the participants.

To find:

The number of participants whose age fall between 31 to 33 years old.

Solution:

In the given frequency distribution table the frequencies represents the number of participants of corresponding age group.

From the given frequency distribution table of the ages of the participants, it is clear that the frequency for age class 31-33 is 5.

Therefore, there are 5 participants whose age fall between 31 to 33 years old.

Answer:

39

Step-by-step explanation:

y=arctan(0.8)=38.65=39

Answer:

7 1/2 miles per half hour

Step-by-step explanation:

First let's find how many miles you travel per hour. To find that, you divide 45 by 3. This gives you 15 miles per hour. Now we need to find how many miles in half an hour. To do this we are going to convert into minutes. We need to find out how many miles per minute. There are 60 minutes in 1 hour, so we will divide 15 by 60. That gives 0.25, or 1/4 mile per minute. So now that we know how many miles per minute, we can find out how many for half an hour. Half an hour is 30 minutes, so we are going to multiply 1/4 by 30. You will get 15/2. We need to make that a mixed number, and that gives us 7 1/2 miles per 30 minutes, or 7 1/2 miles per half hour.

I hope this helped :)

(edit: I just realized I did this the hard way. Sorry. The easier way would be to just divide 15 by 2 since it would take two halves of 15 to make the amount of miles per hour.)

Answer:

40

Step-by-step explanation:

27+8+5=40 since 8 & 5 are the total amounts she took out of the original bag.

Answer:

Jane originally had 30 pieces of candy.

Step-by-step explanation:

27 plus the eight pieces she had before

gives you 35. Subtract it by the  5 pieces her grandma gave her and you get 30.

Answer:

d; 200

Step-by-step explanation:

took the quiz

25 is missing in the last step.

Option C is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To complete the square, we add and subtract the square of half of the coefficient of x, i.e., (10/2)² = 25, inside the parentheses:

8(x²+ 10x + 25 - 25) = -5

Simplifying the expression inside the parentheses.

8(x + 5)² = 200

Dividing both sides by 8.

(x + 5)² = 25

Taking the square root of both sides.

x + 5 = ±5

Solving for x.

x = -10 or x = 0

Thus,

The missing number is 25.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Answer:

the answer is true.

4/6

10/15

Answer:

#1

Use Pythagorean:

Apply to given and find c:

#2

#3

We have:

We know that:

Find b:

So

#4

Given

We know that:

Find b:

So

#5

Given

We know:

From the cot we have:

Hypotenuse is:

So,

Answer:

The answer is "[tex]7x^2 +10x -7[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]\to \bold{-2x +8x -9 +4x +7x^2 +2}\\\\[/tex]

Solving the given value:

[tex]\to7x^2 -2x +8x +4x-9 +2\\\\\to7x^2 +10x -7\\\\\to7x^2 +10x -7\\\\[/tex]

Answer:

You need to post the angle too

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)

b)

c)

The answer is 7 months

Answer:

x =55 degrees

y = 35 degrees

Step-by-step explanation:

We know that the distance from the center of the circle to the circumference is the radius

that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same

Let us call one of the angles z

we know that the sum of the angles in a triangle is 180 degrees

That simply means;

80 + 2z = 180

2z = 180-80

2z = 100

z = 100/2

z = 50 degrees

So the angles at each upper end of the cyclic quadrilateral are;

x + 50 and y + 50

we know that the angles that face each other in a cyclic quadrilateral are supplementary

Thus;

95 + y+ 50 = 180

y= 180-95-50

y= 180-145

y = 35 degrees

Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50

Thus;

x + 50 = 105

x= 105-50

x = 55 degrees

Answer:

[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]

Tables--> 2

Each table--> (4*2) 8 boxes

Each box--> (8*6) 48 crayons

On each table--> 48/2

= 24 crayons on each table.

mark me brainliestttt :)))

Mark Brainliest Please

Answer:

Answer is gicen in the image attached.

Step-by-step explanation:

Standard deviation (SD) measured the volatility or variability across a set of data. It is the measure of the spread of numbers in a data set from its mean value and can be represented using the sigma symbol (σ). The following algorithmic calculation tool makes it easy to quickly discover the mean, variance & SD of a data set.

For more help check Khan academy video

https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/sample-standard-deviation/v/sample-standard-deviation-and-bias

Answer:

2.6

Step-by-step explanation:

To calculate standard deviation:

(1) Find the mean - 4.33

4 + 5 + 9 + 1 + 2 + 5 = 26     26 / 6 = 4.333... ≈ 4.33

(2) Subtract the mean from each value and square each result

[tex](4 - 4.33)^2 = 0.1089[/tex]     [tex](5 - 4.33)^2 = 0.4489[/tex]     [tex](9 - 4.33)^2 = 21.8089[/tex]

[tex](1 - 4.33)^2 = 11.0889[/tex]    [tex](2 - 4.33)^2 = 5.4289[/tex]    [tex](5 - 4.33)^2 = 0.4489[/tex]

(3) Find a new mean with the new values from the previous step

0.1089 + 0.4489 + 21.8089 + 11.0889 + 5.4289 + 0.4489 = 39.3334

39.3334 / 6 = 6.555566667

(4) Take the square root of the new mean.

[tex]\sqrt[]{x6.555566667} =2.560384086[/tex]

2.560384086 rounded to the nearest tenth is: 2.6

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

Answer:

Then y = 6

Step-by-step explanation:

y = -x + 7

x = 1

y = -1 + 7

= 6

Answer:

x<−3

Step-by-step explanation:

hope this works

Answer:

it would probably be around 1.8 or either 1.7

Answer:

78.5398163397

Step-by-step explanation:

5x5= 25xpi=78.5398163397

Answer:

LM = 20

LN = 160/7

Step-by-step explanation:

If M is between L and N, then LM = MN

Given

LM = 7x + 4, MN = 20, LN = 10x

7x+4 = 20

7x = 20 - 4

7x = 16

x = 16/7

LM = 16/7(7) + 4

LM = 16 + 4

LM = 20

LN = 10x

LN = 10(16/7)

LN = 160/7

Answer:

4

Step-by-step explanation:

Answer:

m = 5

Step-by-step explanation:

to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2

10 ÷ 2 = 5

Please give me brainliest!

Answer:

Probability of 100 managers being selected= 100C100*1100C800/1200C900

Probability of selecting just one manager = 1C100*1199C899/1200C900

Explanation:

Given 100 managers, 200 factory workers, 900 miscellaneous workers, and workers bring transferred 900

To find probability of 100 managers leaving given that probability = number of favorable outcomes/total number of outcomes

We use combination since order doesn't matter:

Combination formula= n!/r!(n-r)! Where n= total number of outcomes and r is number of outcome at one time and ! is factorial

Probability of 100 managers using nCr formula for each item = 100C100*1100C800/1200C900

Probability of 1 manager also applying nCr formula as above =1C100*1199C899/1200C900

The probability is the ratio of the favorable event to the total number of events. The probabilities are as follows;

a.  P = ¹⁰⁰C₁₀₀ × ¹¹⁰⁰C₈₀₀ / ¹²⁰⁰C₉₀₀

b.  P = ¹⁰⁰C₁ × ¹¹⁹⁹C₈₉₉ / ¹²⁰⁰C₉₀₀

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery.

Assuming that your company currently employs 100 managers, 300 factory workers, and 900 miscellaneous staff.

We can use combination since order does not matter;

a)  The probability of all the managers will be offered the opportunity will be

[tex]P = \dfrac{^{100}C_{100} * ^{1100}C_{800}}{^{1200}C_{900}}\\[/tex]

b)  The probability of you will be offered the opportunity will be

[tex]P = \dfrac{^{100}C_{1} * ^{1199}C_{899}}{^{1200}C_{900}}\\[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1

Answer:

0.8 Miles per minute.  1.6 miles in 2 minutes

Step-by-step explanation:

It says 48 miles for 60 minutes. But we only want one minute, so we can divide 60 to get 1 and divide 48 by 60 to get 0.8 for 1 minute.

For the second question you want 2 munutes so you multily this rate by 2 (0.8*2) to get 1.6 miles.

Hope this helps

:)

Answer:

15

Step-by-step explanation:

f(x)=2x^2-3x+1

f(-2)=2*(-2)^2 -(3*-2)+1

=2*4-(-6)+1

=8+6+1

=15

f(-2)= 15

OPTION C is the correct answer