Angle DAB measures ( 2x4 )°− and angle BCD measures 47°. Find x.

Two numbers are 30 and 60 that have 2,3 and 5 as factors.

LCM is the least common multiple of two or more that two given numbers which is exactly divisible by these given numbers.

According to the given question we have to find two numbers that have 2, 3 and 5 as common factors.

To find least such number which have common factor of 2, 3 and 5 we have to take LCM of 2, 3 and 5.

The LCM of 2, 3 and 5 is 30.

The next such possible higher numbers will be of the form 30k, where k is an integer.

At k = 2,
The number 30k will be 30(2) which is

= 60.

We can find any such form of numbers by putting different integer value of k.

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Answer:

No, it's not possible

Step-by-step explanation:

We know that for various values of x , [tex]-1\leq \sin x\leq 1[/tex]

and [tex]-1\leq \cos x \leq 1[/tex]

For values of [tex]\alpha[/tex], [tex]-1\leq \sin \alpha\leq 1[/tex]

On multiplying all sides by 3, we get

[tex]-3\leq 3\sin \alpha\leq 3[/tex]

For values of [tex]\beta[/tex], [tex]-1\leq\cos \beta\leq 1[/tex]

On multiplying all sides  by 4, we get

[tex]-4\leq 4\cos \beta\leq 4[/tex]

On adding all sides of [tex]-3\leq 3\sin \alpha\leq 3\,\,,\,\,-4\leq 4\cos \beta\leq 4[/tex] , we get

[tex]-3-4\leq 3\sin \alpha+ 4\cos \beta\leq 3+4\\-7\leq 3\sin \alpha+ 4\cos \beta\leq 7[/tex]

Therefore, maximum value of [tex]3\sin \alpha+ 4\cos \beta[/tex] is 7.

So, it's not possible that [tex]3\sin \alpha+ 4\cos \beta=8[/tex]

y=5

5=1/4x^2+1

4=1/4x^2

16 = x^s

x = square root (16) = 4

x=3

y= 1/4(3)^2+1 = 3 1/4 = 13/4

Among the given options, (c) 0.108 is the only number that lies between 0.10 (which is the decimal equivalent of 10%) and 0.111 (which is approximate decimal equivalent of 1/9).

To answer the question "Which of the following numbers has a value that is between 10% and 1/9?", we first need to convert 10% and 1/9 into decimal form. 10% is equivalent to 0.10, and 1/9 is approximately 0.111. We are therefore looking for a number between 0.10 and 0.111.

Reviewing the options, (a) 0.151, (b) 0.112, (c) 0.108, and (d) 0.019, we see that only (c) 0.108 fits because it falls between 0.10 and 0.111.

Therefore, the correct answer is (c) 0.108.

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multiply 8 by 1/3

8* 1/3 = 8/3 =2 2/3 hours

Final answer:

To calculate Nicole Tobin's earnings for a week in which her sales totaled $3000, we first determine the total sales eligible for commission and then calculate 15% commission on that amount. Adding the resulting commission to her weekly salary of $250 gives us Nicole's total earnings for the week, which are $475.

Explanation:

Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. To calculate her earnings during a week in which her sales totaled $3000, we need to find out the commission on the sales exceeding $1500 and then add it to her weekly salary.

First, we calculate the amount eligible for commission:

Sales = $3000

Threshold for commission = $1500

Eligible amount for commission = Total sales - Threshold for commission = $3000 - $1500 = $1500

Next, we calculate the commission:

Commission rate = 15%

Commission = Eligible amount for commission × Commission rate = $1500 × 0.15 = $225

Finally, we find Nicole's total earnings:

Weekly salary = $250

Total earnings = Weekly salary + Commission = $250 + $225 = $475

Nicole's earnings for the week are $475.

3 7/12 = 43/12

2 7/9 = 25/9

both denominators must be the same to add together.

(25/9)x 12

(43/12) x 9

300/108 + 387/108 =

687/108

which in its simplest form is 229/36

and in a mixed number is 6 13/36

Answer:

Tess is wrong and  Dan is correct because the tax is calculated after discount.

Step-by-step explanation:

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

[tex]\frac{Rs}{x}=\frac{1}{4}[/tex]

We need to solve the given equation for x.

On cross multiplication we get

[tex]Rs\times 4=1\times x[/tex]

On further simplification we get

[tex]4Rs=x[/tex]

The value of x is 4 times of Rs. Only option D represents this situation.

Therefore, the correct option is D.

The inequality from the given graph is y≤-3x+5.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

From the graph, the coordinate points are (2, -1) and (1, 2).

Here, slope (m)=(2+1)/(1-2)

m=-3

Substitute m=-3 and (x, y)=(2, -1) in y=mx+c, we get

-1=-3(2)+c

-1=-6+c

c=5

Substitute m=-3 and c=5 in y=mx+c, we get

y=-3x+5

So, the inequality is y≤-3x+5

Therefore, the inequality is y≤-3x+5.

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Answer:

Given the functions:

[tex]f(x) = 3x^2+2[/tex]

[tex]g(x) = x-8[/tex]

we have to find [tex](f \cdot g)(2)[/tex]

[tex](f \cdot g)(2) = f(2) \cdot g(2)[/tex]         ....[1]

Substitute the value of x = 2 in f(x) and g(x) we have;

[tex]f(2) = 3(2)^2+2 =12+2 = 14[/tex] and

[tex]g(2) = 2-8 = -6[/tex]

Substitute these in [1] we have;

[tex](f \cdot g)(2) = 14 \cdot -6 = -84[/tex]

Therefore, the value of  [tex](f \cdot g)(2)[/tex] is, -84

3 is the number whose four times the square is equal to twelve times 3.

An equation is a relationship between two or more variables expressed in equal to sign. It is solved to find the value of variables. Equation of two variables will look like ax+ by=c.

Let the required number be x.

According to question we have to form an equation which will be:

4[tex]x^{2}[/tex]=12x

[tex]4x^{2} -12x=0[/tex]

4x(x-3)=0

4x=0, x-3=0

x=0, x=3

Non negative number=3

Hence 3 is the number whose 4 times square is equal to 12*3.

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Answer:

{174,000, 134,000, 420,000, 452,000, 474,000}