every natural number is a whole number why?

Answer:

18 gallons containing 20% solvent and 6 gallons containing 60% solvent

Step-by-step explanation:

the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent

let a = 20% solvent paint

let b = 60% solvent paint

a + b = 24

0.2a + 0.6b = 7.2

(replace a = 24 - b in the second equation)

a + b = 24

0.2(24 - b) + 0.6b = 7.2

4.8 - 0.2b + 0.6b = 7.2

0.4b = 7.2 - 4.8 = 2.4

b = 2.4 / 0.4 = 6

a = 24 - 6 = 18

Answer:

(a;b)={(17; 64); (64; 17)}

Step-by-step explanation:

a+b=81 => b=81-a

a*b=1088

a*(81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

=> a=17 and a=64

for a=17 => b=81-17=64

for a=64 => b=81-64=17

(a;b)={(17; 64); (64; 17)}

The two integers are equal to a = 17 and b = 64.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The two integers are,

a+b=81 => b=81-a

a x b=1088

Calculate the value of one integer,

a x (81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

Calculate the value of the second integer b,

=> a=17 and a=64

for a=17 => b=81-17=64

Therefore, the two integers are equal to a = 17 and b = 64.

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Answer:

Try chrord. The picture looks like a tangent but the CG line looks most like a chord.

Step-by-step explanation:

A chord is a line inside of the circle.

Answer:

6x -2y = 8

-6x+5y = 7

3y = 15

y = 5

6x - 2(5) = 8

6x - 10 = 8

6x = 18

x = 3

(3, 5)

Step-by-step explanation:

Answer: i am so confused lol

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

First you type shift then s, o, m, e, t, h, i, n, and g

Answer:

1 hour

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

LA = πrl

Here, l ----> slant height

l= 21 ft

r = 12 ft

LA = 3.14*12*21  =  791.7 square ft

SA = πr(l + r)

= 3.14*12 *(12+21)

=3.14* 12 * 33

= 1244.1 square ft

Answer :

A. 368 ft²

Step by step

[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]

Answer:

386 ft :)

Step-by-step explanation:

Answer:

4.93

Step-by-step explanation:

5.55-0.62=

4.93

Answer:

sin theta = opp/ hypotenuse

Step-by-step explanation:

sin theta = opp/ hypotenuse

cos theta = adj/ hypotenuse

tan theta = opp/ adj

In this case we know the opposite  and the hypotenuse

Answer:

Where is the picture?

Step-by-step explanation:

Answer:

In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

PR5T - 47Y6 = 1998

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

The speed of the airplane was 800 mph and the wind, 480 mph.

Step-by-step explanation:

distance'd'/speed'v'=travel time't' and the distances are the same. The wind speed works against the plane upwind and helps the plane downwind, of course.

considering x=speed of airplane without wind

c=speed of wind

->Forward trip:

d/v=t

4800/(x-c)=15

320= x-c ---> eq(1)

->Return trip:

4800/(x+c)=10

480 = x+c --->eq(2)

Adding eq(1) and (2)

  x-c + x+c = 320+ 480

x= 800 mph

eq(1)=> 320= x-c

c= 800 - 320

c=480mph

The speed of the airplane was 800 mph and the wind, 480 mph.

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Answer:

The boys would have traveled two hours to be at the same point on the trail

Step-by-step explanation:

At the same point on the trail, the two boys would have traveled the same distance.

What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel

Thus, we equate the equation of thur distances.

That would be;

14t = 11t + 6

14t -11t = 6

3t = 6

t = 2 hours

Answer:

2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

But what the question requested was the distance from the top of the dirt to the bottom of the hole

Answer:

Bronze

Step-by-step explanation:

To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:

Mass of necklace = 192g

Volume = 19.5cm^3

Density =...?

Density of a substance is simply defined as the mass of the substance per unit volume.

Density = Mass /volume

Density = 192g / 19.5cm^3

Density = 9.85g/cm^3

Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.

Therefore, the necklace is made of bronze.

Every time, this second restaurant is less expensive; therefore, Lisa should decide to get pizzas for her group from the second restaurant.

All items and services purchased for resale of consumption throughout the production process are included in spending on goods and services, excluding capital goods whose consumption is recorded as consumption for fixed capital.

We have For the first restaurant

the total cost per pizza is $16 + $5 = $21.

For the second restaurant

the total cost per pizza is $17.

If Lisa purchases x pizzas,

the total cost from the first restaurant will be $21x + $5 = $21x + $5.

The total cost from the second restaurant will be $17x.

If x = 1, the first restaurant will cost $26 and the second restaurant will cost $17, so the second restaurant is cheaper.

If x = 2,

the first restaurant will cost $47 and the second restaurant will cost $34, so the second restaurant is cheaper.

If x = 3, the first restaurant will cost $68 and the second restaurant will cost $51, so the second restaurant is cheaper.

So, in every case, the second restaurant is cheaper, and Lisa should choose the second restaurant to purchase pizzas for her party.

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Answer:

The answer is A

Step-by-step explanation:

This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2

Answer:

B, C.

Step-by-step explanation:

B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.

C, since you would also get 255/16.

Please tell me if im wrong! im only a student .m.

Answer:

the 3rd on

Step-by-step explanation:

Answer:

m∠BNP=90∘ and m∠ANP=90∘

Step-by-step explanation:

Looking at the diagram these are perpindicular which means they have 90 degree angles.

Answer:

4.2 inches when rounded

Step-by-step explanation:

volume = pi(r²)h

155.09088in³ = pi(r²)2.8

÷2.8 ÷2.8

55.3896 =pi(r²)

÷pi ÷pi

17.6310572718 = (r²)

Then you have to square root both sides (I tried to use the radical symbol but it didnt work, sorry :( )

After you square root it you should get

4.1989352545 = r

Answer:

4.2 inches(rounded)

Step-by-step explanation:

Hope im right :)

Answer:

Total distance traveled = 56 m

Total displacement is 12 m

Direction of coach is westward

Step-by-step explanation:

It is given that football coach first go 12 meter westward then 16 meter eastward.

So no position of coach in eastward direction = 16 - 12 = 4 m

And then 22 m west westward

Therefore position of coach now is 22-4 = 18 m westward

And finally 6 m eastward

Therefore final position of coach is 18-6= 12 m westward

So displacement of coach is 12 m and direction is westward.

Total distance traveled = 12+16+22+6= 56 m

Answer:

right

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain of a function is the set for which the function is defined. Our function is the function [tex]h(x) = 6x-4[/tex]. This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.

The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.

Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.

Answer:

the answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the number in the tenth place 1

and look one place to the right for the rounding digit 4

Round up if this number is greater than or equal to 5

and round down if it is less than 5

The answer is 14.1

Answer:

A =70 ft^2

Step-by-step explanation:

The area of the triangle is equal to

A = 1/2 bh where b is the base and h is the height

A = 1/2 (20) *7

A =70 ft^2

Answer:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

Step-by-step explanation:

I am going to assume you meant to write

[tex](x-3)^2+(y-1)^2 = 8[/tex]

Since if both variables were x it would not be a circle:

Then you can find the center and radius using the general formula of a circle:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where the center is at (h,k) and r is the radius

Therefore:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

Answer:

2.25 for ONE bottle

Step-by-step explanation:

If you divide 4.50 by 2 the result is 2.25