Write the number in expanded form 68,020

1.

Paul's present age = x

John's present age = 18

Paul's age 4 years ago = x - 4

John's age 4 years ago = 18 - 4 = 14

Also,

Paul's age four years ago was twice that of John's age four years ago.

Therefore,

Paul's age 4 years ago = 2(14)

= 28

Paul's age 4 years ago = x - 4 = 28

x - 4 = 28

x = 28 + 4

x = 32

Therefore, the present age of Paul is 32.

2.

Cost of one bottle of milk = $3.2

Cost of five bottles of milk = $3.2 × 5 = $15

Cost of four bottles of juice = $15 - $4.4

= $10.6

Cost of one bottle of juice = x

= Cost of four bottles of juice

4

= 10.6

4

= 2.56

Therefore, one bottle of juice costs $2.56.

3.

Savings spent on personal ornaments = 1/8

Savings spent on clothing = 5/6

Total savings spent = 1/8 + 5/6

= 3/24 + 20/24

= (3+20)/24

= 23/24

Savings left = 1/24 = $130

Total amount of savings = x

As 130 is one part of the total savings,

Total amount of savings =

x = 130 × 24

x = 3120

Therefore, original amount of savings is $3120.

Answer:

[tex]1 + (3 \times 3) = 1 + 9 = 10 \\ thank \: you[/tex]

Answer:

its 10

Step-by-step explanation:

1+(3x3)

1+(9)

10

plz give brainliest im tryna level up

Answer:

2/3 quarts

Step-by-step explanation:

Paint used by 9 artists = 6 quarts

So, paint used by 1 artist if shared equally among the 9 artists

= 6 quarts/9

= 2/3 quarts

= 0.6666...... quarts

Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.

To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist

To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.

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Answer:

56,601

Step-by-step explanation:

Answer:

Irrational Number is the answer

Answer:

[tex] \sqrt{11 + 10} = \sqrt{22} = 4.69041576 [/tex]

THIS IS IRRATIONAL

Step-by-step explanation:

The correct answer is irrational and the reason for that is the decimals for sqrt of 22 are non-recurring, are non-terminating and lastly it cannot be expressed in a form of a fraction.

I hope this makes sense

:)

Answer:

11

Step-by-step explanation:

[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]

154 divided by 14 equals 11.

To find the quotient of 154 divided by 14, we perform long division as follows:

     11

14 | 154

First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.

Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.

We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.

Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.

Since there are no more digits to bring down, we can conclude that the quotient is 11.

Therefore, 154 divided by 14 equals 11.

Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.

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Answer:

25 sq feet

Step-by-step explanation:

Length = 5 feet

Area = (Length)²

        = 5²

        = 25 sq feet

Answer: 39/14

Step-by-step explanation:

Given

5 2/7 - 2 2/4

Convert mixed fraction to improper fraction

5 2/7 = (5 × 7 + 2) / 7 = (35 + 2) / 7 = 37/7

2 2/4 = (2 × 4 + 2) / 4 = (8 + 2) / 4 = 10 / 4 = 5/2

Find the common denominator for 37/7 and 5/2

First 10 multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

First 5 multiples of 7 = 7, 14, 21, 28, 35

Since 14 is the first common multiple in the lists, 14 would be the common denominator of 37/7 and 5/2

Convert to the common denominator

(37 × 2) / (7 × 2) = 74 / 14

(5 × 7) / (2 × 7) = 35 / 14

Simplify by subtraction of numerator

=74/14 - 35/14

=(74 - 35) / 14

=[tex]\boxed{\frac{39}{14} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

3.004

Step-by-step explanation:

If you were to round it like this: 3.0041, the thousands place would still be 4, so it would come out to be 3.004. Hope that helps!!

Answer:

No

Step-by-step explanation:

<JAC = 93

< DBE = 90

The two angles are not equal

9514 1404 393

Answer:

  Each colored block in Figure 20 will be a 20×20 square of smaller squares of the same color. The red-green pattern will be identical.

Step-by-step explanation:

Each colored block in Figure N is an N×N array of small blocks the same color. The pattern of red and green N×N blocks is the same from one figure to the next. We expect Figure 20 to fit this description.

[tex] - 3( - 2w + 3y - 6) \\ = 6w - 9y + 18[/tex]

I hope I helped you^_^

Hi there!  

»»————-　★　————-««

I believe your answer is:

[tex]6w-9y+18[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression...}}\\\\-3(-2w+3y-6)\\-------------\\\rightarrow -3 * -2w = 6w\\\\\rightarrow -3 * 3y = -9y\\\\\rightarrow -3 * -6 = 18\\\\\rightarrow -3(-2w+3y-6)= \boxed{6w-9y+18}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

D: 1,130 cm³

Step-by-step explanation:

You need the volume of  a cylinder.

V = πr²h

V = 3.14159 * (6 cm)² * 10 cm

V = 3.14159 * 36 cm² * 10 cm

V = 1130.97 cm³

Answer: D: 1,130 cm³

Answer:

The choose D. 1130 cm³

v = r² pi/ h

v = (6)² × 3.14 × 10

v = 1130.4

v = 1130

Answer: 3.6

Step-by-step explanation:

Answer:

63.6 pounds

Step-by-step explanation:

Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.

So 6% of 60 is

[tex]\frac{x}{60} *100=6[/tex]

x=360/100

x=3.6

So Jimmy's dog weighs 60+3.6=63.6 pounds

Answer:

6x - 15

Step-by-step explanation:

(2x - 5)3

3(2x) - 3(5)

6x - 15

We have that these are the key points given below

The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event.

Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.

Bayesian Theorem

The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event

i'll explain further with an example

Given that when two unfair dice are thrown a 100 times the probability of getting the higher figure in the range of 6-8 , Therefore the Bayesian Theorem simply assumes that this range of 6-8 to be the highest for all 100 throws of two dice.

The Bayesian model is given  as

[tex]B=Prior * Likelihood=Posterior * Marginal[/tex]

Bayesian model is a statistical model.

This leads us to the definition of the Likelihood function

Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.

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Arithmetic involves carrying out addition, subtraction, division and multiplication on numbers and expressions. The result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]

Given that:

[tex]50 + 10 \times 0 + 7 + 2[/tex]

To do this, we apply BODMAS.

First, we evaluate all multiplication operations

[tex]50 + 10 \times 0 + 7 + 2 = 50 + 0 + 7 + 2[/tex]

Then evaluate all addition operations

[tex]50 + 10 \times 0 + 7 + 2 = 59[/tex]

Hence, the result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]

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Answer:

it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.

y<-2x+3/2

-2 = m and the y-intercept is 3/2

Step-by-step explanation:

Answer:

The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3

Step-by-step explanation:

Answer:

6 buses

Step-by-step explanation:

i believe you just have to divide 380/68

then it'll give you 5.5 and then have to round to the nearest integer

Step-by-step explanation:

Root:(1/2, 0)

Domain: x∈R

Range: y∈R

Vertical intercept: (0, 1)

Answer:

(x+x1)(x-x2)

let x1=7 and x2=-4

(x+7)(x-(-4))

(x+7)(x+4)

x^2+4x+7x+28

x^2+11x+28

Recall the definition of absolute value:

• |x| = x if x ≥ 0

• |x| = -x if x < 0

So we have 2 cases to consider:

• If 4 - 3x ≥ 0, then |4 - 3x| = 4 - 3x, and we have

4 - 3x = 5x + 4

8x = 0

x = 0

• If 4 - 3x < 0, then |4 - 3x| = -(4 - 3x) = 3x - 4, which gives

3x - 4 = 5x + 4

2x = -8

x = -4

However, keep in mind that |x| is always non-negative. If x = -4, then the right side of the equation becomes

5(-4) + 4 = -20 + 4 = -16 < 0

so the solution in this case is extraneous.

Answer:

-1

Step-by-step explanation:

Subtract the numbers: y+5-y-6

Combine like terms: y-1-y

= -1

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx} =20x^{19}[/tex]

Answer:

Step-by-step explanation:

6(1)(-2) -2(1)(-2)^2 - 3(1)(-2) +(-2)^2

-12 -8 +6 +4

=-10

-10 is the value of the given polynomial.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

First, we can simplify the polynomial by combining like terms:

[tex]2x^2y + 4x^2y + 3xy^2 - 5xy^2 - 3xy + y^2\\= (2x^2y + 4x^2y) + (3xy^2 - 5xy^2) + (-3xy + y^2)\\= 6x^2y - 2xy^2 - 3xy + y^2[/tex]

Now, to evaluate for x = 1 and y = -2, we substitute those values into the simplified expression:

[tex]6(1)^2(-2) - 2(1)(-2)^2 - 3(1)(-2) + (-2)^2\\= 6(-2) - 2(4) + 6 + 4\\= -12 - 8 + 6 + 4\\= -10[/tex]

Therefore, the value of the polynomial for x = 1 and y = -2 is -10.

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Answer:

$4

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

Answer and Step-by-step explanation:

Essentially, you are describing the position of point K using the location of the other points on the graph.

Let's start listing some descriptions:

K is:

3 more than H

2 more than J

3 less than L

4 less than M

7 less than N

12 less than P

Now look at the answer choices and compare it to what we wrote.

We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.

[C. 7 less than N] is the correct answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer: LESS THAN FOUR

Step-by-step explanation:

Step-by-step explanation:

13

[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]

[tex]3 + 4 - 4 = 3[/tex]

15

[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]

[tex] \frac{10 - 9}{20 - 12} [/tex]

[tex] \frac{1}{8} [/tex]

Answer:

Here is your answer. HOPE THIS HELPS YOU! STAY BLESSED.

Answer:

28,21

Step-by-step explanation:

let the numbers be x and y

x+y=49

y=49-x

xy=588

x(49-x)=588

49x-x²=588

x²-49x+588=0

[tex]x=\frac{49 \pm \sqrt{49^2-4*1*588} }{2*1} \\=\frac{49 \pm \sqrt{2401-2352} }{2} \\=\frac{49 \pm\sqrt{49} }{2} \\=\frac{49 \pm 7}{2} \\=\frac{49+7}{2} ,\frac{49-7}{2} \\=28,21[/tex]