Given that 110ₓ = 40₅ , find the value of x.

Answer:

When an equation that has no solution, it means that the equation does not have an answer and that there is no way that the equation will be true regardless of the values given to variables or where the variables are on one side or both sides of the equation because of the way the equation was set up or constructed.

Step-by-step explanation:

For example, the following equation with variables on both sides of the equal sign that has no solution, we have;

21 + 9·x = 15+ 5·x + 4·x

21 + 9·x = 15+ 9·x

Subtracting 9·x from both sides gives;

21 + 9·x - 9·x  = 15+ 9·x - 9·x

21 + 0 = 1 5 + 0

21 = 15 (Which not true and cannot be true because 21 ≠ 15)

For example of equation with variables on one side of the equal sign has no solution, we have;

21 + 9·x - 5·x - 4·x = 15

21 + 9·x - 9·x  = 15

21 + 0  = 15

21 = 15 (Which not true and cannot be true because 21 ≠ 15).

Answer:

they don't always have solutions

Answer:

Step-by-step explanation:

Hello,

[tex]\dfrac{x^2-100}{x+10}=\dfrac{x^2-10^2}{x+10}=\dfrac{(x-10)(x+10)}{x+10}=x-10\\\\\text{so, we can conclude.}\\\\\displaystyle \lim_{x\rightarrow-10} \ \dfrac{x^2-100}{x+10}=-10-10=-20[/tex]

Thanks

Answer:

The are two types of terms.

One is Express terms: these are laid down by the parties themselves.

The second is Implied terms: these are read into the contract by the court on the basis of the nature of the agreement and the parties' apparent intentions, or on the basis of law on certain types of contract.

Hope this helps!

Answer:

[tex]\frac{17}{2}[/tex]

Step-by-step explanation:

To convert a mixed fraction to a improper fraction, you have to multiply the denominator (2) by the whole number (8). 8 multiplied by 2 is 16. Then add the numerator (1). 16+1=17. That becomes your numerator, the denominator (2) stays the same.

I hope this helps!

Answer:

Step-by-step explanation:

[tex] {7}^{2} \times {7}^{0} \div 7[/tex]

Follow PEDMAS order of operations

[tex] {7}^{2} = 49 \\ {7}^{0} = 1 \\ = 49 \times 1 \div 7 \\ = 49 \div 7 \\ = 7[/tex]

If you have any more questions, please let me know.

Answer:

the third one

Step-by-step explanation:

B = p ∩ q

B is the common part of p and q

The p v q represents region B.

Option A is the correct answer.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

From the Venn diagram,

We see that,

Region B is the intersection between regions p and q.

Now,

The intersection s denoted by V.

So,

B = p V q

Thus,

The p v q represents region B.

Learn more about the Venn diagram here:

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Hope you find this Helpful

Answer:

Step-by-step explanation: let me drive the bus

Hi there! Hopefully this helps!

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[tex]\frac{175-172}{\frac{29}{\sqrt{20} } }[/tex]

Subtract 172 from 175 to get 3.

[tex]\frac{3}{\frac{29}{\sqrt{20} } }[/tex] ≈ 0.462634754

Factor [tex]20=2^{2} \times 5[/tex]. Rewrite the square root of the product [tex]\sqrt{2^{2} \times 5 }[/tex] ≈ [tex]4.472135955[/tex] as the product of square roots [tex]\sqrt{2^{2} } \sqrt{5}[/tex] ≈ 4.472135955. Take the square root of [tex]2^{2}[/tex] ≈ [tex]4[/tex]

[tex]\frac{3}{\frac{29}{2\sqrt{5} } }[/tex]

Rationalize the denominator of [tex]\frac{29}{2\sqrt{5} }[/tex] ≈ [tex]6.484597135[/tex] by multiplying numerator and denominator by [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977.[/tex]

[tex]\frac{3}{\frac{29\sqrt{5} }{2(\sqrt{5} )^{2} } }[/tex]

The square of [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977[/tex] is 5.

[tex]\frac{3}{\frac{29\sqrt{5} }{2 \times 5 } }[/tex] ≈ [tex]0.462634754[/tex]

Multiply 2 and 5 to get 10.

[tex]\frac{3}{\frac{29\sqrt{5} }{10 } }[/tex] ≈ [tex]0.462634754[/tex]

Divide 3 by [tex]\frac{29\sqrt{5} }{10}[/tex] ≈ 6.484597135 by multiplying 3 by the reciprocal of [tex]\frac{29\sqrt{5} }{10}[/tex] ≈ [tex]6.484597135.[/tex]

[tex]\frac{3\times 10}{29\sqrt{5} }[/tex] ≈ [tex]0.462634754[/tex]

Rationalize the denominator of [tex]\frac{3\times 10}{29\sqrt{5} }[/tex] ≈ 0.462634754 by multiplying numerator and denominator by [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977.[/tex]

[tex]\frac{3\times 10\sqrt{5} }{29(\sqrt{5})^{2} }[/tex] ≈ [tex]0.462634754[/tex]

The square of [tex]\sqrt{5}[/tex] ≈ [tex]2.236067977[/tex] is 5.

[tex]\frac{3\times 10\sqrt{5} }{29 \times {5} }[/tex] ≈ [tex]0.462634754[/tex]

Multiply 3 and 10 to get 30.

[tex]\frac{30\sqrt{5} }{29 \times {5} }[/tex] ≈ [tex]0.462634754[/tex]

Multiply 29 and 5 to get 145.

[tex]\frac{30\sqrt{5} }{145 }[/tex] ≈ [tex]0.462634754[/tex]

[tex]\frac{175-172}{\frac{29 }{\sqrt{20} } } = \frac{3}{\frac{29}{\sqrt{20} } } =\frac{3\sqrt{20} }{29}=\boxed{\frac{6\sqrt{5} }{29} } = \boxed{0.463}[/tex]

Refer to the attached image for further explanation:

Answer:

[tex]Rate = 0.125[/tex]

Step-by-step explanation:

Given

[tex]Daily\ Cups = 500[/tex]

[tex]Weekly\ Cups =4000[/tex]

Required

Determine the day to week rate

This can be calculated by dividing the daily medicine cups by the weekly cups;

[tex]Rate = \frac{Daily}{Weekly}[/tex]

Substitute 500 for Daily and 4000 for Weekly

[tex]Rate = \frac{500}{4000}[/tex]

[tex]Rate = 0.125[/tex]

Hence, the rate of the daily to weekly medicine cup is 0.125

Answer:

32

Step-by-step explanation:

hope you have an amazing day, friend!

Answer:

[tex]\Huge \boxed{32}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]8[20-( [9-5)]^2][/tex]

Evaluating according to PEMDAS:

[tex]\Rightarrow \ \ 8[20-( 4)^2][/tex]

[tex]\Rightarrow \ \ 8[20-16][/tex]

[tex]\Rightarrow \ \ 8[4][/tex]

[tex]\Rightarrow \ \ 32[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

(0,13/3)

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

We know the slope is 2/3 and a point on the line is (-5,1)

y = 2/3x +b

Substitute the point into the equation

1 = 2/3 (-5) +b

1 = -10/3 +b

3/3 = -10/3 +b

Add 10/3 to each side

10/3 = b

The equation is

y = 2/3 x+13/3

The y intercept is

(0,13/3)

Answer:

[tex](0,13/3)[/tex]

Step-by-step explanation:

Since we know the slope and a point, we can use the point-slope form.

Recall that the point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let m be 2/3 and let (-5,1) be x₁ and y₁. Therefore:

[tex]y-(1)=\frac{2}{3}(x-(-5))[/tex]

Simplify:

[tex]y-(1)=\frac{2}{3}(x+5)[/tex]

Distribute:

[tex]y-1=\frac{2}{3} x+\frac{10}{3}[/tex]

Add 1 to both sides. The left cancels. 1 is the same as 3/3:

[tex]y=\frac{2}{3} x+\frac{10}{3}+\frac{3}{3}\\[/tex]

Simplify:

[tex]y=\frac{2}{3}x+\frac{13}{3}[/tex]

This is in slope-intercept form. The coefficient is the slope and the y-intercept is the constant. Thus, the y-intercept is 13/3.

Answer:

8 + 10

Step-by-step explanation:

Step 1: Define sum

The sum of any 2 numbers means "add" or "combine" the 2 numbers together.

Step 2: Write out expression

"Sum" = add or +

8 + 10

Answer:

x = 10

PQ = 27

QR = 20

Step-by-step explanation:

You can add up PQ and QR and set it equal to PR.  Solve for x.

(2x + 7) + (2x) = 47

2x + 7 + 2x = 47

4x + 7 = 47

(4x + 7) - 7 = 47 - 7

4x = 40

4x/4 = 40/4

x = 10

Now, use the solved x-value to find PQ and QR.

PQ = 2x + 7

PQ = 2(10) + 7

PQ = 20 + 7

PQ = 27

QR = 2x

QR = 2(10)

QR = 20

Answer:

a) 86,314.

b) 9,162,500.

Step-by-step explanation:

(a) 838(100 + 3)

= 83800 + 2514

= 86314.

(b) 91625 x 179 - 91625 x 79

= 91625(179 - 79)

= 91625 x 100

= 9162500.

Answer:

a,b are the right answers

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

You have to look at the total number of items there are in the problem, since there are 4 cubes in total and there is only 1 dark cube and three white, there will be a quarter of the chance to pull it out, compared to 3/4 of a chance to pull a white one out.

Answer:

[tex]\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}[/tex]

Step-by-step explanation:

Answer:

  a = Δv/Δt

Step-by-step explanation:

The definition of acceleration is helpful: the rate of change of velocity.

The average acceleration is the change in velocity over some time period, divided by the length of the time period.

Answer:  4 hours

Step-by-step explanation:

distance (d) = [rate (r) - current (c)] × time (t)

Given: d = 40, r = 15, c = 5

40 = (15 - 5)t

40 = 10t

4 = t

Answer:

a(first term)=4

d(common difference)=6

sum of first 6 terms=114

The sum of the first 6 terms is given by 114

An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…

Given here The 3rd and the 6th terms of an Arithmetic Progression (A.P) are 16 and 34 respectively. Here on increase in 3 terms the value changes by  34-16=18 Thus if we move by +1 term the common difference must be 18/3=6 and thus the common difference is equal to 3.

∴ The Arithmetic progression is given by:

4,10,16,22,28,34 . . . .

∴ The sum of the first 6 terms is 4+10+16+22+28+34=114

Hence, The sum of the first 6 terms is given by 114

Learn more about an Arithmetic progression here:

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Answer:

the sum of two irrational numbers

Step-by-step explanation:

Answer:

root 49= 7^2

root 100= 10^2

root 144= 12^2

root 324= 18^2

root 441= 21^2

Step-by-step explanation:

Answer:

2.33 × 10^6

Step-by-step explanation:

I just used a calculator, to be honest. It was super simple.

2.33 * 10^6

2.33 * (10*10*10*10*10*10)

which then equals 2,330,000

Answer:

$210

Step-by-step explanation:

Answer:

20 roses at $23 is the better buy

Step-by-step explanation:

Here, we have Alonzo who wants to purchase Roses. He has two buying options.

Either he buys 12 roses at $15 or buys 20 roses at $23. We want to know which of the two options is better for him.

what we shall do here is to get the unit price per each of the roses in each set. The set having the lower rose to dollar value is the better buy.

Firstly, 12 roses for $15.

Price per rose here is 15/12 = $1.25 per rose

For 20 roses at $23

Price per rose here is 23/20 = $1.15 per rose

Since 1.15 is less than 1.25, then the second option is the better buy.

Answer:

a,c,d

Step-by-step explanation:

yea

The set of a number is the list of possible values the number can take. The set of -4 are:

The number is given as -4

Analyze each option as follows

A. Natural numbers are whole numbers greater than 0.  

-4 is less than 0; this means -4 is not a natural number

B. Real numbers is the totality of all numbers.

This means that -4 is a real number

C. Whole numbers are non-negative numbers without decimal point.

-4 is negative; this means -4 is not a whole number

D. Rational numbers are numbers that can be expressed as a fraction

-4 can be expressed as a fraction. e.g. [tex]-\frac{8}{2} = -4[/tex]

This means that -4 is a rational number

E. If a number is rational, then the number cannot be irrational. This means that -4 is not irrational.

F. Integers are numbers without decimal point.

-4 has no decimal point. This means that -4 is an integer.

Hence, the following options are true.

B. real numbers  D. rational numbers  and F. integers

Learn more about numbers at:

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Answer:

$1.49

Just divide 7.45 by 5 and you'll get your answer

Answer:

23

Step-by-step explanation:

8+c

Let c = 15

8+15

23

Answer: 23

Step-by-step explanation:

If c is 15 then plot 15 into the expression and add them

8 + 15 = 23

Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

The given data is:

color            observed frequency               relative frequency

Red                            15                                          3/10

Blue                           12                                          6/25

Green                         8                                           4/25

Yellow                        10                                          1/5

Purple                         5                                           1/10

The experiment was repeated 50 numbers of times.

Solution:

Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a   results of an experiment.

Theoretical probability =  favorable outcomes / all possible outcomes

Experimental probability = no. of times outcome occurs / no. of times

                                                                                      experiment is performed The experimental probability  and theoretical probability are same i.e. 1/5

This can be seen from the table:

Experimental probability = 1/5

As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:

10/50 = 1/5

Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:

1/5

So

experimental probability = 1/5

theoretical probability = 1/5

Hence the experimental probability is the same as the theoretical probability.

Answer: A

Step-by-step explanation: it’s A for the lazy people

Answer:

1/2 cup of dressing

Step-by-step explanation:

To find the total amount of dressing, we just need to add up the amounts of olive oil and balsamic vinegar.

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 cup

Answer:

1/2 cup

Step-by-step explanation:

Simplify the following:

1/3 + 1/6

Hint: | Put the fractions in 1/3 + 1/6 over a common denominator.

Put 1/3 + 1/6 over the common denominator 6. 1/3 + 1/6 = 2/6 + 1/6:

2/6 + 1/6

Hint: | Add the fractions over a common denominator to a single fraction.

2/6 + 1/6 = (2 + 1)/6:

(2 + 1)/6

Hint: | Evaluate 2 + 1.

2 + 1 = 3:

3/6

Hint: | Reduce 3/6 to lowest terms. Start by finding the GCD of 3 and 6.

The gcd of 3 and 6 is 3, so 3/6 = (3×1)/(3×2) = 3/3×1/2 = 1/2:

Answer: 1/2

Answer:

49, 49 , 98

Step-by-step explanation:

AC = AB + BC = 2AB

AB= BC = x + 6 = 43 + 6 = 49

AC = 2AB = 2* 49 = 98

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{112 \: {inches} \: ^{2} }}}}}[/tex]

Step-by-step explanation:

Given,

Height of a parallelogram ( h ) = 8 inches

Base of a parallelogram ( b ) = 14 inches

Area of a parallelogram ( A ) = ?

Finding the area of a parallelogram

[tex] \boxed{ \sf{area \: of \: parallelogram \: = \: base \: \times \: height}}[/tex]

⇒[tex] \sf{area \: of \: parallelogram \: = \: 14 \: \times 8}[/tex]

⇒[tex] \sf{area \: of \: parallelogram = 112 \: {inches}^{2} }[/tex]

Hope I helped!

Best regards! :D