Plot the approximate location of √6 on the number line JUST ANSWER IT

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6,-10) & (-2,-10)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4.7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{12 + x = 16.7}[/tex]

Move 12 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{x = 16.7 - 12}}[/tex]

Subtract 12 from 16.7

[tex] \dashrightarrow{ \sf{4.7}}[/tex]

Hope I helped!

Best regards!

Answer:

[tex]\huge\boxed{\sf x = 4.7}[/tex]

Step-by-step explanation:

12 + x = 16.7

Subtracting 12 to both sides

x = 16.7 - 12

x = 4.7

Answer:

36 cents

Step-by-step explanation:

In order to figure out how much one can cost you need to do 6.48/18 which then gets you 33 cents, the cost of one can.

Answer:

3000 square feet

Step-by-step explanation:

Divide 7,500 by 2.5:

7500/2.5

= 3000

So, 3000 square feet of grass seed can be spread per hour

Answer:

15500 pounds

Step-by-step explanation:

The weight of one load is 4 tons and the weight of other load is 7500 pounds.

We know that, 1 ton = 2000 pounds

4 tons = 8000 pounds

Total weight = 8000 pounds + 7500 pounds

Total weight = 15500 pounds

So, the total weight of sand is 15500 pounds.

Answer:

w = -4

Step-by-step explanation:

Answer:

w = -4

Step-by-step explanation:

[tex]-6=-2+w\\[/tex]

Switch sides

[tex]-2+w=-6[/tex]

Add 2 to both sides

[tex]-2+w+2=-6+2[/tex]

Simplify

[tex]w=-4[/tex]

Answer:

19 marshmallows per person.

Step-by-step explanation:

So, 38 marshmallows per bag and 12 bags were brought.

38 x 12 = 456

Walt and 23 of his friends - 24 people

456/24 = 19 marshmallows

Answer:

y = 4

Step-by-step explanation:

Given that y varies jointly with x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 16 when x = 4 and z = [tex]\frac{1}{2}[/tex] , that is

16 = k × 4 × [tex]\frac{1}{2}[/tex] = 2k ( divide both sides by 2 )

8 = k

y = 8xz ← equation of variation

When x = 2 and z = [tex]\frac{1}{4}[/tex] , then

y = 8 × 2 × [tex]\frac{1}{4}[/tex] = 16 × [tex]\frac{1}{4}[/tex] = 4

Answer:

1x+46 is the answer

Step-by-step explanation:

=4(-8x + 5) – (-33x – 26)

opening brackets to simplify

=-32x+20+33x+26

=-32x+33x+20+26

=1x+46 is the answer

hope it will help :)

Answer:

x+46

Step-by-step explanation:

4(-8x + 5) – (-33x – 26) ​

The first step is to distribute and simplify.

4 distributed to -8x will be -32x, and same thing goes with 5, which is 20.

-

The first part of the equation is -32x+20

Now, this is where it gets confusing.

If there is a sign before a pair of parentheses, you always put 1. In this case, it's -1 distributed to -33x and -26.

So, the second part of the expression will be +33x+26

The whole expression is

-32x + 20 + 33x + 26

add like terms, -32x+33x= x.

20+26=46.

The answer is x+46.

Answer:

Step-by-step explanation:

L = ⁵/₂x + 10

W = ⁵/₂x + 5

A = L•W

A = (⁵/₂x + 10)(⁵/₂x + 5)

A = ⁵/₂x•⁵/₂x + ⁵/₂x•5 + 10•⁵/₂x + 10•5

A = ²⁵/₄x² + ²⁵/₂x + ⁵⁰/₂x + 50

A =  ²⁵/₄x² + ⁷⁵/₂x + 50

Or if yoy mean:

L = 5/(2x) + 10

W = 5/(2x) + 5

A = [5/(2x) + 10][5/(2x) + 5] = 25/(4x²) + 75/(2x) + 50

Answer:

The product of the terms in the given expression is -90k⁷

Step-by-step explanation:

10k⁴ · (-9k³)

When we multiply exponents, then we are going to add the exponential together. So, we will add 4 and 3 together which is 7. Since our base numbers are different, then we also multiply them together. So, we will multiply 10 by -9 which is -90.

-90k⁷

Step-by-step explanation:

15) 50 ÷ 2 = 25

17) Mean = 301, Mode = 40-50

(10+20) ÷ 2 = 15, (20+30) ÷ 2 = 25, (30+40) ÷ 2 = 35

(40+50) ÷ 2 = 45, (50+60) ÷ 2 = 55, (60+70) ÷ 2 = 65

(70+80) ÷ 2 = 75

• 15×4 = 60, 25×8 = 200, 35×10 = 350, 45×12 = 540

55×10 = 550, 65×4 = 260, 75×2 = 150

Mean = (60+200+350+540+550+260+150) ÷ 7

= 2110 ÷ 7

= 301.4285....

= 301

Mode : the highest frequency

Answer:

15) 50 ÷ 2 = 25

17) Mean = 301, Mode = 40-50

(10+20) ÷ 2 = 15, (20+30) ÷ 2 = 25, (30+40) ÷ 2 = 35

(40+50) ÷ 2 = 45, (50+60) ÷ 2 = 55, (60+70) ÷ 2 = 65

(70+80) ÷ 2 = 75

• 15×4 = 60, 25×8 = 200, 35×10 = 350, 45×12 = 540

55×10 = 550, 65×4 = 260, 75×2 = 150

Mean = (60+200+350+540+550+260+150) ÷ 7

= 2110 ÷ 7

= 301.4285....

= 301

Mode : the highest frequency

Answer:

2 * 50/(y + 8)

Step-by-step explanation:

"twice the quotient of 50 and a sum of a number y and 8"

y + 8

"twice the quotient of 50 and a sum of a number y and 8"

50/(y + 8)

"twice the quotient of 50 and a sum of a number y and 8"

2 * 50/(y + 8)

Answer:

2*50/ (8+y)

Step-by-step explanation:

twice the quotient of 50=2*50 divided by something

the sum of a number= y and 8

So... 2*50/ (8+y) is the answer

Answer:

0

Step-by-step explanation:

43 rounded to nearest hundred is 0 because 43 is more closer to 0 than to 100.

Answer:

It probably has to deal with a joke or som10.

Step-by-step explanation:

Answer:

1. I

2. R

3. R

4. I

5. W

6. I

7. W

8. I

Step-by-step explanation:

Answer:150

Step-by-step explanation:

600/4=150  (150)3=450  450+150=600

Answer: 150 dollars

Step-by-step explanation: Because the dryer is equal to washer divided by 3 you can substitute Washer/3 in the equation

W+ W/3=600

multiply both sides by 3

3W+W=1800

4W=1800

Divide both sides by 4

The answer to W is 450 dollars which you then divide by three to get 150 dollars

Answer:

£7448

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is principle ( amount invested), R is rate of interest and T is time in years.

Here P = £5600, R = 11 and T = 3 , thus

I = [tex]\frac{5600(11)3)}{100}[/tex] = £1648

Value after 3 years = £5600 + £1848 = £7448

Answer:

I believe it is 1.

Step-by-step explanation:

1. because thats half

Answer:

[-9,0]

Step-by-step explanation:

You use brackets to indicate that the numbers, in this case -9 and 0, are included in the interval.

You use parentheses to indicate that the numbers are excluded from the interval.

Since we want to include the numbers in the interval, we use the brackets.

The answer is [-9,0]

Hope this helps!

Answer:

[tex]Rate = \$0.23[/tex]   and    [tex]Rate = \$0.094[/tex]

Step-by-step explanation:

Given

Sew-on logos

Cost = $2.30

Units = 10

Stick-on logos

Cost = $9.40

Units = 100

Required

Divide cost by units, in both cases

When we divide cost by units, it gives the unit rate.

i.e.

[tex]Rate = \frac{Cost}{Units}[/tex]

FOR SEW-ON LOGOS

Substitute $2.30 for Cost and 10 for Units

[tex]Rate = \frac{\$2.30}{10}[/tex]

[tex]Rate = \$0.23[/tex]

FOR STICK-ON LOGOS

Substitute $9.40 for Cost and 100 for Units

[tex]Rate = \frac{\$9.40}{100}[/tex]

[tex]Rate = \$0.094[/tex]

Hence, the solution is

[tex]Rate = \$0.23[/tex]   and    [tex]Rate = \$0.094[/tex]

Answer: x=11

Step-by-step explanation:

If m∠XWZ = 90 and is divided into 2 acute angles labeled 5x+5 degrees and 2x+8 degrees then the value of x is 11.

Given,

m∠XWZ = 90.

Right angle ∠XWZ is divided into 2 acute angles labeled as:

- 5x + 5 degrees

- 2x + 8 degrees.

We need to find the value of x.

An acute angle means angles that are less than 90 degrees.

If an angle is divided, the sum of the divided angles must be equal to the angle divided.

Find the right angle.

m∠XWZ = 90

Find the acute angles that are being divided.

= 5x + 5° and 2x + 8°

Find x.

Since m∠XWZ is divided we have,

90° = 5x + 5° + 2x + 8°

Now,

Add the like terms.

90 = 7x + 13

Subtract 13 on both sides.

90 - 13 = 7x

77 = 7x

Divide both sides by 7.

11 = x

x = 11

We can crosscheck the angles:

90° = 5x + 5° + 2x + 8°

90 = 5x11 + 5 + 2x11 + 8

90 = 55 + 5 + 22 + 8

90 = 60 + 30

90 = 90

Thus if m∠XWZ = 90 and is divided into 2 acute angles labeled 5x+5 degrees and 2x+8 degrees then the value of x is 11.

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Answer: answer is C

Step-by-step explanation:

The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C

Answer:

x = -7/2

Step-by-step explanation:

(1/4) ^ (x+1) = 32

Rewriting 32 as 2^5 and 1/4 and 2^-2

2^-2 ^ (x+1) = 2^5

  We know that a^b^c = a^ ( b*c)

2 ^ (-2x-2) = 2 ^ 5

Since the bases are the same, the exponents have to be the same

-2x-2 = 5

Add 2 to each side

-2x = 7

Divide by -2

x = -7/2

Answer:  8

Step-by-step explanation:

EQ1:   a + b + c = 2            -->       b + c = 2 - a

EQ2:  ab + bc + ac = -1     -->        b + c = (-1 - bc)/a

EQ3:  abc = -2                  -->           bc = -2/a

Set EQ1 = EQ2 and substitute bc using EQ3 to solve for "a":

[tex]2-a=\dfrac{-1-bc}{a}\\\\\\\text{Clear the denominator:}\\a(2-a)=-1-bc\\\\\text{Substitute bc:}\\a(2-a)=-1-\dfrac{-2}{a}\\\\\\\text{Clear the denominator:}\\a^2(2-a)=-a+2\\\\\\\text{Simplify and set equal to 0:}\\2a^2-a^3=-a+2\\0=a^3-2a^2-a+2\\\\\text{Factor:}\\0=a^2(a-2)-1(a-2)\\0=(a^2-1)(a-2)\\\\\text{Solve for a:}\\a^2-1=0\qquad a-2=0\\a=\pm1}\qquad \qquad a=2[/tex]

Consider the solution a = 2 and plug it into EQ1 to solve for "b"

b + c = 2 - 2

b + c = 0

b = -c

Plug in a = 2, b = -c, and c = c into a³ + b³ + c³

  2³ + (-c)³ + c³

= 8 - c³ + c³

= 8

Answer:

a. It is a negative pattern

b. Fourth term is 67

c. Explicit formula is Tn = 87 - 5n where n is the number of the term.

d. The value of the 100th term is -413

Step-by-step explanation:

1.Firstly, we want to know if the pattern is positive or negative.

Looking at the pattern, we can see our first term as 82, second as 77, third as 72.

What this show is that the pattern is decreasing as we move on from one term to another. So we can say it is a negative recursive pattern.

2. We are asked which term is the 4th.

This is quite obvious from the spelt out pattern.

82 77 72 67

1....2......3.....4

67 is the fourth term.

3. We want an explicit formula for the sequence.

What this question is asking us is a formula such that we can use at any point in time to calculate the value of the term at that point.

Firstly we have the first term as 82.

We need the common difference.

Mathematically this is the second term minus the first term which is same as the third term minus the second term.

That would be; 77-82 = 72-77 = -5

Mathematically the nth term of an arithmetic sequence is;

Tn = a + (n-1) d

Where in this case a is 82 and d is -5

Substituting these values, we have;

Tn = 82 + (n-1)-5

Tn = 82 -5n + 5

Tn = 82 + 5 -5n

Tn = 87 -5n

Where Tn is the term we are looking for while n is the number of the term.

4. Value of the 100th term

Simply substitute the value of 100 for n in the explicit formula.

That would be;

87 -5(100) = 87-500 = -413

Answer:

see below

Step-by-step explanation:

Can we simplify the number

-15/3 simplifies to -5, which is an integer

We categorize the number to its smallest category and integer contains less than rational

Answer:

9z

Step-by-step explanation:

4th root of z = z^1/4

=> 3 * z^1/4

=> 3z^1/4

3z^1/4 * 3z^3/4

=> 3 x 3 x z^1/4 + 3/4

=> 9z^4/4

=> 9z^1

=> 9z

The expression [tex]3\sqrt[4]{z}~.~3z^{\frac{3}{4} }[/tex] in the form k . [tex]z^{n}[/tex] is 9z.

We are given:

  =  [tex]3\sqrt[4]{z}~.~3z^{\frac{3}{4} }[/tex]

We need to write this in the form of :

  =   [tex]k~.~z^{n}[/tex]

We use exponents and powers when we want to write very large numbers or very small numbers in a simplified manner.

Example:

8 = 2 x 2 x 2 = [tex]2^{3}[/tex].

Where 2 is the base and 3 is the exponents.

72 = 8 x 9 = [tex]2^{3} \times3^{2}[/tex].

Here we have two bases 2 and 3 and two exponents 3 and 2.

8 / 9 =  [tex]\frac{2^{3} }{3^{2} }[/tex] =  [tex]2^{3} \times3^{-2}[/tex].

Here the bases are 2 and 3 and exponents are 3 and -2.

We have

[tex]3\sqrt[4]{z}~.~3z^{\frac{3}{4} }[/tex]

Here,

[tex]\sqrt[4]{z}[/tex] can be written as [tex]z^{\frac{1}{4} }[/tex].

  [tex]z^{\frac{1}{4} }~.~z^{\frac{3}{4} }[/tex]  can be written as :

                 [tex]z^{\frac{1}{4} +\frac{3}{4} }\\\\ z^{\frac{4}{4} } \\\\z^{1} = z[/tex]

Now we have,

3 x 3 x  [tex]z^{\frac{1}{4} }[/tex]  x [tex]z^{\frac{3}{4} }[/tex]

3 x 3 x z

[tex]3^{2}[/tex] x z

9 x [tex]z^{1}[/tex]

So, comparing with k . [tex]z^{n}[/tex]

we have,

k = 9 and n = 1.

The expression [tex]3\sqrt[4]{z}~.~3z^{\frac{3}{4} }[/tex] in the form k . [tex]z^{n}[/tex] is 9z.

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Answer:

4/5=0.8

-1 1/2= -1.5

The greatest number is=1.3

Mia, Raj, Clara, Jacob

Answer:

4/5 is equal to 0.8

-11/2 is equal -1.5

The greatest number is 1.3

The students names Mia, Raj, Clara, Jacob

Step-by-step explanation:

I took the assignment. Hope this helps! :)

Step-by-step explanation:

[tex] = \frac{20}{5} . {2}^{ - 3} [/tex]

[tex] = 4. \frac{1}{ {2}^{3} } [/tex]

[tex] = \frac{4}{2 \times 2 \times 2} [/tex]

[tex] = \frac{4}{8} [/tex]

[tex] = \frac{1}{2} [/tex]