2(6 – 3x) = 6

do I add 6x or minus 12??

\(\huge\text{Hey there!}\)

\(\large\text{When you hear/see the word of in mathematics, it usually means }\\\large\text{\bf multiplication. }\)

\(\large\text{So, when you think of think of the word \underline{of} think of its asking you to}\\\large\text{\bf multiply }\)

\(\large\text{Now that we got that run down out of the way lets answer your given}\\\large\text{question}\)

\(\large\textsf{0.25\% of 2,000}\)

\(\large\textsf{= 0.25\%} \times \large\textsf{2,000}\)

\(\large\textsf{0.25\%} = \mathsf{\bf \dfrac{25}{100}}\)

\(\mathsf{= \dfrac{25}{100} \times 2,000}\)

\(\mathsf{\dfrac{25}{100}= \bf 0.0025}\)

\(\large\textsf{= 0.0025} \times \large\textsf{2,000}\)

\(\large\text{= \bf 5}\)

\(\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 5}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Question⬇️  

              subtracting fractions with unlike denominators​

Answer⬇️

           13/24

Further Explanation⬇️

                                 For the problem:

2

3

+  

1

8

= ?

The Least Common Multiple (LCM) of 3 and 8 is 24. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

2

3

+  

1

8

=  

2 × 8

3 × 8

+  

1 × 3

8 × 3

=  

16

24

+  

3

24

Now that the fractions have like denominators, add the numerators:

16

24

+  

3

24

=  

16 + 3

24

=  

19

24

The result is:

2

3

+  

1

8

=  

13

24

Answer:

C

Hope this helps!

The length of the side BC is approximately 21.6 cm.

Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.

Given a right angled triangle ABC.

We have another smaller right angled triangle ABD.

∠BAD = 180° - (90° + 70°) = 20°

Similarly, ∠BAC = 180° - (90° + 40°) = 50°

Using the definition of tangent function,

tan 20° = BD / AB and tan 50° = BC / AB

Dividing,

tan 20 / tan 50 = BD / BC

Let BD be x.

Now, BC = BD + CD = x + 15

So the equation becomes,

tan 20 / tan 50 = x / (x + 15)

(x + 15) tan (20) = x tan (50)

x (tan 50 - tan 20) = 15 tan 20

Solving,

x = 6.595 cm

So, BC = BD + 15 = 21.595 ≈ 21.6 cm

Hence the length of BC is 21.6 cm.

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The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

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Answer:

To make $175, he has to sell 644 hotdogs.

Step-by-step explanation:

Lets do this together step by step.

To calculate the cost of a single hot dog, divide the profit recieved by the number of hot dogs.

So that would be 14/56 which would result in $0.25.

Now we know that 1 hot dog = 25 cents.

Now, all of the money we receive ( $175) comes from selling a certain number of hot dogs.  

We can see that in order to calculate how many hotdogs we could buy with this sum of money, we would need to divide the total by the price of each hot dog.

175/0.25 = 700 ( Thats quite a lot.)

700-56 =644

He has to sell 644 hotdogs to earn $175.

Step-by-step explanation:

the other answer is absolutely correct.

just the last part was not fully explained :

the question was how many additional hot dogs have to be sold to earn $175 in total ?

to make $175, 700 hot dogs have to be sold.

but 56 have been sold already (for the initial $14 earnings).

so, 700 - 56 = 644 additional hot dogs have to be sold.

9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

Answer:

36

Step-by-step explanation:

Answer:

a)  ( 31.92 < μ < 33.88 )  

The confidence interval is not very different from the confidence interval given in the question

b) ( 31.74 ,  34.66 )

Step-by-step explanation:

n = 250

x ( mean ) = 32.9

std = 6.9

95% confidence interval

df = n - 1 = 250 - 1 = 249

a) construct confidence interval estimate

calculate for the margin of error

= \(t_{0.05/2} ,_{250-1} ( \frac{s}{\sqrt{n} } )\) ( using excel function:  T.INV.2T(0.025,249) )

= 2.255 ( 6.9 / 15.81 )

= 0.98

Hence the confidence interval for the population

= ( x - 0.98 < μ < x + 0.98 )

= ( 31.92 < μ < 33.88 )  

The confidence interval is not very different from the confidence interval given in the question

b) when n = 19

x = 33.2 and std = 2.6

margin of error = \(t_{0.05/2} ,_{19-1} ( \frac{s}{\sqrt{n} } )\) = 2.45 * ( 2.6 / 4.36 )  = 1.46

confidence interval

= ( 33.2 - 1.46 , 33.2 + 1.46 )

= ( 31.74 ,  34.66 )

Answer:

Step-by-step explanation:

[1/(x^2)]÷[(1/y^3)]

(y^3)/(x^2)

Answer:

f(x) = 2.25x + 5

Step-by-step explanation:

The cost from the weight in pounds of the box can be represented by 2.25x, since the charge is $2.25 per pound.

The flat fee of $5 can be represented in the function by adding 5 to 2.25x.

Put these together in function notation:

f(x) = 2.25x + 5

So, the equation is f(x) = 2.25x + 5

The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

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Answer:

Step-by-step explanation:

I'm going to guess that you mean 3x^2

3x^2 - 30x - 72                 Take out 3 as a common factor

3(x^2 - 10x - 24)

This factors into

3(x - 12)(x + 2)

If you have a common factor, take it out. It makes finding an answer that much easier.

The factored form of the quadratic equation is A = 3 ( x - 12 ) ( x + 2 )

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

A = 3x² - 30x - 72

where the common factor of the expression is determined as:

So , Taking the common factor , we get

A = 3 ( x² - 10x - 24 )

On further simplification , we get

Combining the like terms , we get

A = 3 ( x - 12 ) ( x + 2 )

So , the factored form of the equation is A = 3 ( x - 12 ) ( x + 2 )

Hence , the factored form is A = 3 ( x - 12 ) ( x + 2 )

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Answer:

i think its C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its just division tbh

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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Answer:

câu này là 500 nhen

Answer:

(2u+7)(3u+1)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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Answer:circle

Step-by-step explanation:

I just got it right

Answer:

Circle

Step-by-step explanation

Answer:

1575

Step-by-step explanation:

3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.

Answer:

its 33.333333% or 3 out of 9 or 3/9

Step-by-step explanation:

Answer: 53 degrees

Step-by-step explanation:

X = 360 - 307 = 53 degrees

Answer:

53

Step-by-step explanation:

subtract 307 from 360

Answer:

Step-by-step explanation:

You must place in the question sign box the value of x that is above the question sign box because you are trying to fill out the y row.

Example: y=\(-\frac{0}{3} +2\)= -0+2=2

Answer:

Step-by-step explanation:

tip:

plug the x values from the table ( the top row values ) into the equation

in this case its 0

BOX 1:

\(-\frac{0}{3} +2\\\)

0 divided by anything = 0

so, 0 + 2 = 2

box 1 = 2

BOX 2:

\(-\frac{3}{3} +2\)

3 div by 3 = 1 ( in this case negative 1 )

so, -1 + 2 = 1

box 2 = 1

BOX 3:

\(-\frac{6}{3} +2\)

6 div by 3 = 2 ( in this case negative 2)

-2 + 2 = 0

box 3 = 0

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

63*

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

X    |   y

---------------

-2   |   3

-1   |   0

0   |  -3

1   |  -6

Answer:

First Slot is B and the second slot is A

Step-by-step explanation:

B is in the x coordinate

A is in the y coordinate

And when you look at the formula it should make sense ;D

Answer:

y = 2x+4

Step-by-step explanation:

When we substitute the value of x in y =2x+4. The output of function is exactly like in the table shown.

x = 1 —> y = 2(1)+4 = 6

x = 3 —> y = 2(3)+4 = 10

x = 5 —> y = 2(5)+4 = 14

x = 7 —> y = 2(7)+4 = 18

x = 9 —> y = 2(9)+4 = 22

Since the output is exactly like in the table. Therefore, y = 2x+4 represents the following table.

Answer:

1) V = 336mm

2) V = 64.33ft

Step-by-step explanation:

1) V = lwh + lwh

V = 4(6)(5) + 9(6)(4)

V = 120 + 216

V = 336mm

2) V = \(\frac{1}{3}\)\(\pi\)\(r^{2}\)h +  

Cone = \(\frac{1}{3}\)\(\pi\)\(r^{2}\)h

Cylinder = \(\pi\)\(r^{2}\)h

V = \(\frac{1}{3}\)\(\pi\)\((1.5)^{2}\)(3) +

V = \(\pi\)\((1.5)^{2}\) +

V = 7.07 + 57.26

V = 64.33ft