Combine the like terms to create an equivalent expression: r+(−5r)

For the six numbers in the cube, we have.

So, only two of the numbers in the cube are composite. This means that you have a chance of

[tex]\dfrac{2}{6}=\dfrac{1}{3}[/tex] of rolling one of them.

[tex]\bf 3^{4x}=27^{x-3}\implies 3^{4x}=(3^3)^{x-3}\stackrel{~\hfill \textit{same base, the exponents must also be the same}}{\implies 3^{4x}=3^{3(x-3)}\implies 3^{4x}=3^{3x-9}\qquad } \\\\\\ 4x=3x-9\implies x=-9[/tex]

Answer:

33/56 inches

Step-by-step explanation:

2.75(3/14)=33/56

Answer:

[tex] 8\frac { 1 5 } { 1 6 } [/tex] inches or 8.94 inches

Step-by-step explanation:

We know that the current height of the photo is [tex]3\frac{1}{4}[/tex] inches and the customer wants it to be enlarged by a factor of [tex]2\frac{3}{4}[/tex] its current height.

[tex]  3\frac { 1 } { 4 } = 3.25 [/tex]

[tex] 2 \frac { 3 } { 4 } = 2.75 [/tex]

Multiplying this scale factor with the current height of photo to find the enlarged height.

Enlarged height = [tex]3.25 \times 2.75 = 8\frac{15}{16}[/tex] inches or 8.94 inches

Answer:

3/28

Step-by-step explanation:

Given in the question that,

stack of cards have numbers (1, 1, 2, 2, 3, 3, 3, 4)

Total number of cards = 8

Number of card with 3 on them = 3

Number of card with 2 on them = 2

To find the probability that he pulls out a 3 first and then pulls out a 2, we will multiple the probability of having 3 with 2.

Probability of having 3 = 3/8

Probability of having 2 = 2/7 (without replacing)

3/8 x 2/7 = 3/28

Thus, the answer is 3/28

Answer:3/28

Step-by-step explanation:

Took test got it right

This is an incomplete question.

Answer:

Step-by-step explanation:

This is incomplete

Answer:

[tex]\large\boxed{\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2}{4}-\dfrac{y^2}{4}=\dfrac{x^2}{2^2}-\dfrac{y^2}{2^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x}{2}\right)^2-\left(\dfrac{y}{2}\right)^2\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}[/tex]

Answer:

it is not C i did that so it might be B

Step-by-step explanation:

The approximate area that is shaded blue 77 in².

In this question we simply calculate area of circle where r=5 , and area of rectangle l = 2 and b = 1.

   Area of circle = πr²

                           = [tex]\frac{22 *5*5}{7}[/tex] = 78.57

Area of rectangle = l * b

                              2 * 1 = 2

 Then simply subtract area of rectangle to area of circle .

Area of shaded blue = 78.57 - 2

                                 = 76.57 ⇒ 77 in²

Therefore, The approximate area that is shaded blue 77 in².

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Answer:

volume = 3.5 m * 4.5 m * 2 m

Step-by-step explanation:

The volume of a rectangular prism is

volume = length * width * height

volume = 3.5 m * 4.5 m * 2 m

Answer:

Step-by-step explanation:

(jk^-2/j^-1k^-3)^3

(-2)(-1)^-2

-------------               ^3

(-2)^-1(-1)^-3

switch negative exponenst to other side

(-2)(-2)(-1)^3

__________

(-1)^2

4(-1)

-----

1

= -4

REMEMBER all to the 3rd power!

(-4)^3

-64

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=81\pi \end{cases}\implies 81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies \boxed{9=r}~\hspace{10em}\stackrel{\textit{diameter = twice the radius}}{18}[/tex]

[tex]

A=81\pi \\

A=\pi r^2 \\

81\pi=\pi r^2\Longrightarrow r^2=81

radius=\sqrt{81}=\boxed{9} \\

diameter=2radius = 2\cdot9=\boxed{18}

[/tex]

Answer: no

Step-by-step explanation:

Because of the angles

Answer:

the correct option is option c.

Step-by-step explanation:

We have the expression: (160*243)^1/5

First, we know that 160 = 5(2^5)

And, 243 = 3^5

Then we have: (160*243)^1/5 = [5(2^5)(3^5)]^1/5 = 6(5)^1/5

So the correct option is option c.

Answer:

[tex]\large\boxed{\dfrac{n^3}{8}\sqrt{15n}}[/tex]

Step-by-step explanation:

[tex]\sqrt{\dfrac{60n^{11}}{256n^4}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\ \text{and}\ \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}\\\\=\sqrt{\dfrac{60}{256}n^{11-4}}=\dfrac{\sqrt{60n^7}}{\sqrt{256}}=\dfrac{\sqrt{4n^{6+1}\cdot15}}{16}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{\sqrt{4n^6\cdot15n}}{16}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\dfrac{\sqrt{4n^{3\cdot2}}\cdot\sqrt{15n}}{16}\qquad\text{use}\ (a^n)^m=a^{nm}[/tex]

[tex]=\dfrac{\sqrt{4(n^3)^2}\cdot\sqrt{15n}}{16}=\dfrac{\sqrt{4}\cdot\sqrt{(n^3)^2}\cdot\sqrt{15n}}{16}=\dfrac{2\!\!\!\!\diagup^1\sqrt{15n}}{16\!\!\!\!\!\diagup_8}=\dfrac{n^3\sqrt{15n}}{8}[/tex]

Answer:

Option A, The pen cost less than $0.35.

Step-by-step explanation:

The given inequality is d ∠ 0.35

Now we have to define this inequality with the help of given options.

If d represents the cost of pen, then cost of pen should be less than 0.35.

Option A, The pen cost less than $0.35. is the answer.

Answer:

A

Step-by-step explanation:

Answer:

D assuming the black dot means multiplied

Step-by-step explanation:

Answer:

D. Opposite angles are congruent

With option A, we can see that it is clearly wrong, in a parallelogram, only the opposite sides are congruent, if all of the sides are congruent then the shape is more likely to be a square or a rhombus.

With option B, only the opposites angles are congruent. If all four angles are congruent, that will be more likely to be true when we consider a square or a rectangle.

With option C, it is also wrong, unless the shape is a rhombus, square or rectangle.

That leaves us with the last option which is D.

For this case we must solve the following inequality:

[tex]- \frac {t} {5}> 15[/tex]

We follow the steps below:

We multiply by 5 on both sides of the inequality:

[tex]-t> 15 * 5\\-t> 75[/tex]

We multiply by -1 on both sides of the inequality. We must bear in mind, that when multiplying by -1, the sense of the inequality changes.

[tex]t <-75[/tex]

Answer:

Option A

Answer:

Step-by-step explanation:1/3

Is the correct answer

Hello! :)

Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.

Hope I helped and answered in time!

Good luck!

~ Destiny ^_^

Answer:

[tex]13C10 =286[/tex]

Step-by-step explanation:

To solve this problem we must use the formula of combinations.

[tex]nCr =\frac{n!}{r!(n-r)!}[/tex]

Where n is the number of players that there are and elect r of them

In this case there are [tex]7 + 6 = 13[/tex] players and you choose 10 of them

Then we look for  13C10

[tex]13C10 =\frac{13!}{10!(13-10)!}[/tex]

[tex]13C10 =\frac{13!}{10!*3!}[/tex]

[tex]13C10 =286[/tex]

There are 286 possible combinations

Answer:

[tex]\large\boxed{y=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 4x+2y=1.\ \text{Convert to the slope-intercept form y = mx + b:}\\\\4x+2y=1\qquad\text{subtract 4x from both sides}\\\\2y=-4x+1\qquad\text{divide both sides by 2}\\\\y=-2x+\dfrac{1}{2}\to m_1=-2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-2}=\dfrac{1}{2}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{2}x+b.\\\\\text{The line passes through }(-4,\ 3).[/tex]

[tex]\text{Put the coordinates of the point to the equation.}\ x=-4,\ y=3:\\\\3=\dfrac{1}{2}(-4)+b\\\\3=-2+b\qquad\text{add 2 to both sides}\\\\b=5[/tex]

Answer nica  me ayudan a mi pliss...oh mana nose

Step-by-step explanation:

Answer is provided in the image attached.

Answer:

where is the information about bob and paul?

Step-by-step explanation:

Answer:

2x + 4 = 3x + (–1)

Step-by-step explanation:

I just did it so i hope this helped

Answer is

(-16 , 14)

Answer:

-16, 14

Step-by-step explanation:

Answer:

50%

Step-by-step explanation

Each quartile of a box plot contains 25% of the data.

45-48 minutes is 25%

48-53 minutes is 25%

53-56 minutes is 25%

56-64 minutes is 25%

The questions asks for the percentage from 48-56.

48-53 is 25% and 53-56 is 25%. If you add 25% + 25%, you get 50%

Therefore, the percentage of village women who took 48-56 minutes to collect one container of water if 50%.

Hope this helps!

The total space bought for the two ads in the newspaper is 3/4 of a page. This is determined by adding the fractions representing the size of each ad together: 5/8 + 1/8 = 6/8, which simplifies to 3/4.

You are dealing with fractions in this mathematics problem. If you bought two ads, one taking 5/8 of a page and the other taking 1/8 of a page, you need to add these fractions together to find out how much space you bought for ads overall.

Adding the fractions 5/8 and 1/8 would give you:

5/8 + 1/8 = 6/8

The fraction 6/8 can be simplified further by dividing both numbers by their greatest common divisor (which is 2), resulting in:

6/8 = 3/4

Therefore, the ads took up 3/4 of a page in total.

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you bought a total of 3/4 of a page for ads.

To calculate the total space bought for ads in a newspaper, simply add the proportions of the page that each ad takes up. The first ad covers 5/8 of a page, while the second ad occupies 1/8 of a page. Adding these together:

5/8 + 1/8 of a page

This can be calculated by adding the numerators and keeping the denominator the same since both fractions have the same denominator.

Add the numerators: 5 + 1 = 6

Keep the denominator the same: 8

Combine them to get the new fraction: 6/8 of a page

However, notice that 6/8 can be simplified to 3/4, because both the numerator and the denominator can be divided by 2.

Therefore, you bought a total of 3/4 of a page for ads.

Measure of an angle is usually in degrees or radians. The measure of angle M is [tex]36^\circ[/tex]. Thus, [tex]m\angle M = 36^\circ[/tex]

It is a theorem in mathematics that sum of internal angles of a triangle equate to [tex]180^\circ[/tex].

Suppose that two angles are given as [tex]a^\circ[/tex] and [tex]b^\circ[/tex] and let there is one angle missing. Let its measure be [tex]x^\circ[/tex]

Then, by the aforesaid theorem, we get:

[tex]a^\circ + b^\circ + x^\circ = 180^\circ\\\\ \text{Subtracting a + b degrees from both sides} \\\\x^\circ = 180^\circ - (a^\circ + b^\circ)[/tex]

For the given case, we have:

[tex]m\angle S = 84^circ\\\\m\angle A = 60^\circ\\\\m\angle M = x^\circ \text{ (say)}[/tex]

Thus,

[tex]x^\circ = 180^\circ - (60+84)^\circ\\\\x^\circ = 36^\circ[/tex]

Thus,

The measure of angle M is [tex]36^\circ[/tex]. Thus, [tex]m\angle M = 36^\circ[/tex]

Learn more about triangle's angles here:

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Answer: 7

Step-by-step explanation:

mode is the most replicated number

Answer:

The mode is 7.. :)

Step-by-step explanation:

Answer:

Dividing mixed numbers is very similar to multiplying mixed numbers. You just add one step—after changing the divisor into an improper fraction, you then find its reciprocal and multiply. ... First step: Write the whole number and the mixed number as improper fractions.

Step-by-step explanation:

Dividing mixed numbers is essentially similar to dividing whole numbers, with an extra step of converting mixed numbers into improper fractions. The core concepts remain the same but it extends division into fractions.

Dividing mixed numbers is related to dividing whole numbers because the fundamental concepts remain the same. In dividing whole numbers, we take a number (dividend) and distribute it into equal parts. For instance, dividing 6 by 2, we are distributing 6 into 2 equal parts, which will give us 3 in each part.

Similarly, when dividing mixed numbers, we proceed in the same manner. However, it adds an extra step of converting mixed numbers into improper fractions first before proceeding with the division. For example, when dividing 2 1/2 by 1 1/2, we would first convert these into improper fractions and then proceed with the division as we would do with whole numbers.

Therefore, the concept for dividing mixed numbers is essentially an extension of the concept for dividing whole numbers.

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Answer:

y=3/7x

Step-by-step explanation:

Parallel means same slope.

y-y1=m(x-x1)

y-0=3/7(x-0)

y=3/7(x)+0

y=3/7x

Answer: The answer is y=3/7x