A standard number cube is rolled . What is the probability of getting a factor of 4?A standard number cube is rolled . What is the probability of getting a factor of 4?

Answer:

27

Step-by-step explanation:

Let x be the number

2/3 x+4 = 22

Subtract 4 from each side

2/3x +4-4 = 22-4

2/3 x = 18

Multiply each side by 3/2

3/2 ( 2/3x) = 18 * 3/2

x = 27

Answer:

[tex]\Huge \boxed{27}[/tex]

Step-by-step explanation:

Let the number be x.

[tex]\frac{2}{3} x+4=22[/tex]

Solve for x.

Subtract 4 from both sides.

[tex]\frac{2}{3} x+4-4=22-4[/tex]

[tex]\frac{2}{3} x=18[/tex]

Multiply both sides by [tex]\frac{3}{2}[/tex].

[tex]\frac{2}{3} x \cdot \frac{3}{2} =18 \cdot \frac{3}{2}[/tex]

[tex]x=27[/tex]

The number is 27.

Answer:

Step-by-step explanation:

Answer:

the first one im pretty sure

Step-by-step explanation:

Answer:

The First one is correct im pretty sure.

Answer:

X= blue tiles

Y = red tiles

X/y = 4/21

X+y= 425

Y= 357 tiles

X= 68 tiles

Step-by-step explanation:

red and blue ceramic tiles are laid according to a pattern.

The pattern= every 21 red tiles used, 4 blue tiles are used

Total number of tiles used = 425 tiles

X= blue tiles

Y = red tiles

X/y = 4/21

X+y= 425

21x= 4y

X= 4y/21

X+y= 425

4y/21 + y = 425

25y= 425(21)

Y=( 425*21)/25

Y= 357 tiles

X= 4y/21

X= (4*357)/21

X= 1428/21

X= 68 tiles

Using proportions, it is found that there are 68 blue tiles.

The rule of three is:

4 blue - 25 total

x blue - 425 total

Applying cross multiplication:

[tex]25x = 4(425)[/tex]

[tex]x = \frac{4(425)}{25}[/tex]

[tex]x = 68[/tex]

There are 68 blue tiles.

To learn more about proportions, you can check https://brainly.com/question/24372153

Answer:

2208

Step-by-step explanation:

So first we can write this as 4(500+50+2)

Then we distribute it 4*500+4*50+4*2

Multiply to get 2000+200+8

So the answer is 2208

Answer:

Hey there!

0.28 times 0.86 is equal to 0.2408

Let me know if this helps :)

Answer:

15 years

Step-by-step explanation:

Given:

Building inequality:

Adding current year to 14 we get 15 years as answer

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂

Finding the midpoint

[tex] \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}[/tex]

[tex]\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}[/tex]

[tex] \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}[/tex]

Hope I helped!

Best regards! :D

Answer:

[tex]z = 1.66[/tex]

Step-by-step explanation:

Given

Mean = 4.68

Standard Deviation (SD) = 2.83

Value, x = 9.38

Required

Determine the z score

z score is calculated using the following formula;

[tex]z = \frac{x - Mean}{SD}[/tex]

Substitute 9.38 for x; 2.83 for SD and 4.68 for Mean

[tex]z = \frac{9.38 - 4.68}{2.83}[/tex]

[tex]z = \frac{4.7}{2.83}[/tex]

[tex]z = 1.66[/tex] (Approximated)

Hence, the z score is 1.66

[tex]8y=5y+24[/tex] collect like-terms

[tex]8y-5y=24[/tex] subtract

[tex]3y=24[/tex] now divide

[tex]y = \frac{24}{3}\\[/tex]

[tex]y=8[/tex]

plug in the value of [tex]y[/tex] to check if the answer is correct:

[tex]8y=5y+24\\8(8)=5(8)+24\\64=40+24\\64=64[/tex]

ergo, [tex]y = 8[/tex]

Answer:

hey thanks for ur points too

Step-by-step explanation:

Answer:

In the first sequence, the next term here is 1. In the second sequence; the next term is 162.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

In the first sequence,  256, 64, 16, 4, ...

Consider ratio of the next term with its preceding term, so we will get the common ratio;

4/ 16 = 1/4

So, we can see that the next term of the sequence is 1/4 times the previous term.

Hence, the unknown term will be; 1/4 times of previous term.

That is , 1/4 × 4 = 1

Therefore, the next term here is 1

In the second sequence; 2, 6, 18, 54, ...

Do the same procedure as above, we will get the common ratio as :

54 / 18 = 3

Thus, the next term is 3 times the preceding term, that is :

3 × 54 = 162

Hence, the next term is 162

Learn more about arithmetic sequence here:

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Correct question is;

Among all pairs of numbers with a sum of 149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms

Answer:

The pair whose product is maximum is 149/2 and 149/2

Step-by-step explanation:

We are told that pair of number with sum as 149 and to find the product that is maximum.

Now,let x and y be the numbers. Thus;

x + y = 149 and xy is maximum.

So, y = 149 - x

Thus, plugging 149 - x for y into the product equation gives; x(149 - x). This can be expanded to be -x² + 149x.

Using method of completing the square, we will arrive at;

-(x² - 149x) = -(x² -149x + (149/2)²) + (149/2)² = (149/2)² - (x - (149/2))²

Now, the expression gotten will have a maximum of (149/2)² when (x - (149/2))² has its minimum value of zero. This means that when x = 149/2, as x moves away from 149/2, (149/2)² would be reduced by the square of the difference between the value of x and 149/2, and the square would always be positive.

Thus, the maximum product in it's simplest form is x = y = 149/2

Answer:

(-3,-35), and the slope is -8/1

Step-by-step explanation:

If you're trying to find the other endpoint, that's it, and the slope is -8/1

Answer:

they are in the link. i answered each on in the same order they are in the picture soooo here u are.

Answer:

68+97i

Step-by-step explanation:

work shown and pictured

Answer:

68+97i

Step-by-step explanation:

(39 + 34i) + (76 + 89i) - (47 +26i).

Distribute the minus sign

(39 + 34i) + (76 + 89i) + (-47 -26i)

Combine like terms

(39+76-47)+(34i+89i-26i)

68+97i

Answer:

B, D, and E

Step-by-step explanation:

B) m<1 + m<2=m<4 TRUE. If you and 1, 2, and 3,  you get 180.  If you add 3 and 4, you get 180.  So 1 and 2 must be the same as 4.

D) m<4 is greater than m<2

E) m<4 is greater than m<1

Answer:

5

Step-by-step explanation:

The formula is [tex]\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2}})^{2} }[/tex]

[tex]x_{1}[/tex]=-3 [tex]x_{2}[/tex]=0

[tex]y_{1}[/tex]=5 [tex]y_{2}[/tex]=1

[tex]x_{1}- x_{2}[/tex]=-3

[tex]y_{1}- y_{2}=4[/tex]

Therefore: [tex]\sqrt{(-3)^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex]

Answer: ACE

Step-by-step explanation:

The expression first, third, and fourth becomes zero when plugging x  = -1 in the equation.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

First,

[tex]=\rm \dfrac{4\left(x+1\right)}{4x+5}[/tex]

Plug x = -1

The expression value becomes zero.

Second,

[tex]= \rm \dfrac{4\left(x-1\right)}{5-4x}[/tex]

Plug x = -1

= -8/9

Third,

[tex]\rm \dfrac{4\left(x-\left(-1\right)\right)}{4x+5}[/tex]

Plug x = -1

The expression value becomes zero.

Fourth,

[tex]\rm \dfrac{4\left(x+\left(-1\right)\right)}{4x+5}[/tex]

Plug x = -1

The expression value does not become zero.

Fifth,

[tex]\rm \dfrac{4\left(x+1\right)}{5-4x}[/tex]

Plug x = -1

The expression value becomes zero.

Thus, the expression first, third, and fourth becomes zero when plugging x  = -1 in the equation.

Learn more about the expression here:

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Answer:

22/3

Step-by-step explanation:

[tex]4\times\:7-\frac{62}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:7=28\\=28-\frac{62}{3}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:28=\frac{28\times\:3}{3}\\=\frac{28\times\:3}{3}-\frac{62}{3}\\\\=\frac{28\times\:3-62}{3}\\\\28\times\:3-62=22\\\\=\frac{22}{3}[/tex]

Answer:

There are 8 possible combinations.

Look at this example:

2 sandwiches: PB&J, turkey sandwich

4 drinks: soda, water, lemonade, tea

1 dessert: cake

all 8 combos:

hope this helps

Answer:

15°

Step-by-step explanation:

The sum of three interior angles in a triangle is 180.

180-90-75=15°

Answer:

Step-by-step explanation:

If a family has 7 children, what is the interval within which "the number of children they have" really falls.

Now, number of children is a discrete variable, not a continuous one.

You are sure that the family has 7 children because the question states that.

The true interval within which the number of children they have falls is (0 - 8)

Answer:

  {5, 10, 15, 20, 25, 30, 35}

Step-by-step explanation:

The set can be listed (rostered). When it is, it will be ...

  {5, 10, 15, 20, 25, 30, 35}

__

Set notation can also be used to describe the set as being a natural number less than 37 and divisible by 5:

  [tex]\{n\in\mathbb{N}:(n<37)\land(n\mod{5}=0)\}[/tex]

Answer:

3+(-5) = -2

Step-by-step explanation:

If you were at 3 in the number line then went back 5 spaces (which represents -5) it would be -2

Answer:

4 cups of flour

Step-by-step explanation:

We just need to double 2. The phrase "double" means to multiply by 2 so the answer is 2 * 2 = 4 cups of flour.

Answer:

We know we have to pay $75 per weel plus $0.25 for each mile we traveled, from that, if we call x the miles we have travelled, the total cost would be:

[tex]C = 75 + 0.25x[/tex]

As each mile we travel costs $0.25. Now that we have that expression, they ask us how many miles did we travel if we had to pay $96.25.

The only thing we have to do is replacing the C (our total cost) per $96.25 and solve the equation we get:

[tex]96.25=75+0.25x[/tex]

[tex]96.25-75=0.25x[/tex]

[tex]21.25=0.25x[/tex]

[tex]\frac{21.25}{0.25} = x[/tex]

[tex]85 = x[/tex]

We hve traveled 85 miles.

Answer:

Point C which is 1.

Step-by-step explanation:

A = -6

E = 8

M = (A + E)/2

M = (-6 + 8)/2 = 2/2 = 1

The midpoint is 1 which is point C.

Answer:

Quantity of medicine provide to patient = 36 mcg

Step-by-step explanation:

Given:

Quantity recommend = 0.6 mcg / kg

Weight of patient = 60 kg

Find:

Quantity of medicine provide to patient

Computation:

Quantity of medicine provide to patient = Weight of patient × Quantity recommend

Quantity of medicine provide to patient = 60 × 0.6

Quantity of medicine provide to patient = 36 mcg