Given 11 different natural numbers, none greater than 20. Prove that two of these can be chosen, one of which divides the other.

Answer:b-40

Step-by-step explanation:

Answer:2 and a half cups of sugar

Step-by-step explanation:

1/4*10

Answer:

A. The graph is not a function of x because the line x = 0 intersects the graph at two points.

Step-by-step explanation:

The required total balance at the end of the 5 years is given as $1995.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
Sue deposited $1,500 into two different accounts. - She deposited $600 into an account that pays 7.5% simple interest. - She deposited $900 into an account that pays 6% compounded annually.

Investment 1,
Amount = P(1 + rt)
Amount = 600(1 + 0.075×5)
Amount = $825

Investment 2,
Amount = P(1 + rt)
Amount = 900(1 + 0.06×5)
Amount = $1170

Total balance = 825 + 1170
Total balance = $1995

Thus, the required total balance at the end of the 5 years is given as $1995.

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Answer:

Step-by-step explanation:

B is the independent variable since the amount of times you drink the water is controlled by you.  

I is the dependent variable since it's depending on how much water you're drinking

Answer:

Step-by-step explanation:

4.

distance=2436-(-1020)=2436+1020=3456 ft

5.

in two turns points=3-4=-1

in 6 turns=-1/2×6=-3 points

6.

-23+40=17

she had 17 dollars balance.

Answer:

5 -3

Step-by-step explanation:

Answer:

0.2 pounds of milk

0.3 pounds of sugar

1.5 pounds of flour

Step-by-step explanation:

If we have the ratio [tex]2:3:15[/tex], then we know that all of these ingredients together will be [tex]15+3+2=20[/tex]. If we want the whole thing to weight 2 pounds, then the total weight of everything else will be [tex]20\div2=10[/tex] percent of the original.

So,

[tex]2\cdot0.1=0.2\\\\3\cdot0.1=0.3\\\\15\cdot0.1=1.5[/tex]

We can confirm this is correct because [tex]1.5+0.3+0.2=2[/tex].

Hope this helped!

Step-by-step explanation:

Simple formula [tex]\frac{item ratio}{total ratio}[/tex]×total amount

milk powder;  ×2= 0.2 lb

sugar; [tex]\frac{3}{20}[/tex]×2= 0.3 lb

flour; [tex]\frac{15}{20}[/tex]×2= 1.5 lb

To check you can add them up :)

Hope this helps :)

The answers are bold*

Answer:

Company C

Step-by-step explanation:

You divide the amount of money it all costs to the number of plushies they are selling it for.

A: 34.08/12 = $2.84 each

B: 42.90/15 = $2.86 each

C: 50.58/18 = $2.81 each

So C has the least amount of money spent for a greater amount of plushies so C would be the Best Buy.

Answer:

Step-by-step explanation:

midpoint of AC=((-3+3)/2,(-5+5)/2)=(0,0)

midpoint of BD=((2-2)/0,(-3+3)/2)=(0,0)

coordinates  of midpoint of AC and BD are same.

∴ AC and BD bisect each other.

[tex]AC=\sqrt{(3-(-3))^2+(5-(-5))^2 } =\sqrt{6^2+10^2} =\sqrt{136} =2\sqrt{39} \\BD=\sqrt{((-2-2)^2+(3-(-3))^2} =\sqrt{16+36} =\sqrt{52} =2\sqrt{13}[/tex]

Midpoint of AC and BD is ( 0, 0 ), so both bisects each other.

The value of AC = 2 √39 and BD = 2 √13

Here, points given as,

A(–3, –5), B(2, –3), C(3, 5), and D(–2, 3).

We have to find,  AC and BD.

What is distance between two points?

Distance between two points [tex]P(x_{1} ,y_{1} )[/tex] and [tex]Q(x_{2} ,y_{2} )[/tex] is given by:

[tex]d(P, Q) = \sqrt{(x_{2}- x_{1} )^2 +(y_{2}- y_{1} )^2 }[/tex]

Now,

Midpoint of AC = [tex](\frac{-3+3}{2} ), (\frac{-5+5}{2} ) = ( 0, 0 )[/tex]

Midpoint of BD = [tex](\frac{-2+2}{2} ), (\frac{-3+3}{2} ) = ( 0, 0 )[/tex]

Hence, Both AC and BD bisects each other.

And, Distance between A and C is,

AC = [tex]\sqrt{(3 - (-3))^2 +(5 - (-5))^2 } = \sqrt{36 + 100} = \sqrt{136} = 2\sqrt{39}[/tex]

Distance between B and D is,

BD = [tex]\sqrt{( -2 -2))^2 +(3 - (-3))^2 } = \sqrt{16 + 36} = \sqrt{52} = 2\sqrt{13[/tex]

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Answer:

1. The amount of jellyfish attracted ,

2. The type of instrument played ,

3. The guitar attracts the most jellyfish,

4. the results are reliable. there are no big outliers .

Answer:

Step-by-step explanation:

y=a(x-h)^2+k

-12=a(1-h)^2+k

16=a(3-h)^2+k

subtract

a(3-h)^2-a(1-h)^2=28

a[(3-h)^2-(1-h)^2]=28

a=2

2[(3-h)^2-(1-h)^2]=28

(3-h)^2-(1-h)^2=14

9+h^2-6h-(1+h^2-2h)=14

9+h^2-6h-1-h^2+2h=14

-4h+8=14

-4h=6

h=-3/2

16=2(3+3/2)^2+k

16=2×81/4+k

k=16-81/2=-49/2

so y=2(x+3/2)²-49/2

Answer: y=a(x-h)^2+k

-12=a(1-h)^2+k

16=a(3-h)^2+k

subtract

a(3-h)^2-a(1-h)^2=28

a[(3-h)^2-(1-h)^2]=28

a=2

2[(3-h)^2-(1-h)^2]=28

(3-h)^2-(1-h)^2=14

9+h^2-6h-(1+h^2-2h)=14

9+h^2-6h-1-h^2+2h=14

-4h+8=14

-4h=6

h=-3/2

16=2(3+3/2)^2+k

16=2×81/4+k

k=16-81/2=-49/2

so y=2(x+3/2)²-49/2

Step-by-step explanation:

Answer:

-17.38

Step-by-step explanation:

-3.28-(4.4) = -7.6

-7.6+(-9.7) = -17.38

Answer:

A or/and B

Step-by-step explanation:

in A the hundreds value is 8 and [tex]\frac{8}{10} = 0.8[/tex]

in B he hundreds value is 7 and [tex]\frac{7}{10} =0.7[/tex]

hope this helps you!

Answer:

C. 1.404

Step-by-step explanation:

The 1000ths place is the 1 in 0.01

The 100ths place is the 1 in 0.001

A = 0.881

The number in the 1000ths place is 1

The number in the 100ths place is 8

1/8 is not 1/10

B = 0.722

The number in the 1000ths place is 2

The number in the 100ths place is 2

2/2 is not 1/10

C = 1.404

The number in the 1000ths place is 4

The number in the 100ths place is 0

BUT the numbe rin the 100ths place could also be written as 40, where the 4 from the 40 has moved up a place to 10th

in which case, 4/40 = 1/10

Answer:

Yes because they are both in the hundredths place

Step-by-step explanation:

Answer:

[tex]f(x)=9(x+\frac{1}{6})^2-\frac{21}{4}[/tex]

Step-by-step explanation:

So, we need to find the equation of a parabolic function that goes through the points (-3,67) and (-1,1) and has a stretch factor of 9.

In other words, we want to find a quadratic with a vertical stretch of 9 that goes through the points (-3,67) and (-1,1).

To do so, we first need to write some equations. Let's use the vertex form of the quadratic equation. The vertex form is:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h,k) is the vertex.

Since a is the leading coefficient, it's also our stretch factor. Thus, let a equal 9.

Also, we have two points. We can interpret them as functions. In other words, (-3,67) means that f(-3) equals 67 and (-1,1) means that f(-1) equals 1. Write the two equations:

[tex]f(x)=a(x-h)^2+k\\f(-3)=67=9((-3)-h)^2+k[/tex]

And:

[tex]f(x)=a(x-h)^2+k\\f(-1)=1=9((-1)-h)^2+k[/tex]

Now, we essentially have a system of equations. Thus, to find the original equation, we just need to solve for the vertex. To do so, first isolate the k term in the second equation:

[tex]1=9(-1-h)^2+k\\k=1-9(-1-h)^2[/tex]

Now, substitute this value to the first equation:

[tex]67=9(-3-h)^2+k\\67=9(-3-h)^2+(1-9(-1-h)^2)[/tex]

And now, we just have to simplify.

First, from each of the square, factor out a negative 1:

[tex]67=9((-1)(h+3))^2+(1-9(((-1)(h+1))^2)[/tex]

Power of a product property:

[tex]67=9((-1)^2(h+3)^2)+(1-9((-1)^2(h+1)^2))[/tex]

The square of -1 is positive 1. Thus, we can ignore them:

[tex]67=9(h+3)^2+(1-9(h+1)^2)[/tex]

Square them. Use the trinomial pattern:

[tex]67=9(h^2+6h+9)+(1-9(h^2+2h+1))[/tex]

Distribute:

[tex]67=(9h^2+54h+81)+(1-9h^2-18h-9)[/tex]

Combine like terms:

[tex]67=(9h^2-9h^2)+(54h-18h)+(81+1-9)[/tex]

The first set cancels. Simplify the second and third:

[tex]67=36h+73[/tex]

Subtract 73 from both sides. The right cancels:

[tex]67-73=36h+73-73\\36h=-6[/tex]

Divide both sides by 36:

[tex](36h)/36=(-6)/36\\h=-1/6[/tex]

Therefore, h is -1/6.

Now, plug this back into the equation we isolated to solve for k:

[tex]k=1-9(-1-h)^2[/tex]

First, remove the negative by simplifying:

[tex]k=1-9((-1)(h+1))^2\\k=1-9((-1)^2(h+1)^2)\\k=1-9(h+1)^2[/tex]

Plug in -1/6 for h:

[tex]k=1-9(-\frac{1}{6}+1)^2[/tex]

Add. Make 1 into 6/6:

[tex]k=1-9(-\frac{1}{6}+\frac{6}{6})^2\\ k=1-9(\frac{5}{6})^2[/tex]

Square:

[tex]k=1-9(\frac{25}{36})[/tex]

Multiply. Note that 36 is 9 times 4:

[tex]k=1-9(\frac{25}{9\cdot4})\\ k=1-\frac{25}{4}[/tex]

Convert 1 into 4/4 and subtract:

[tex]k=\frac{4}{4}-\frac{25}{4}\\ k=-\frac{21}{4}[/tex]

So, the vertex is (-1/6, -21/4).

Now, plug everything back into the very original equation with 9 as a:

[tex]f(x)=a(x-h)^2+k\\f(x)=9(x+\frac{1}{6})^2-\frac{21}{4}[/tex]

And this is our answer :)

Answer:The equation of the line is 9x-5y=9

5y=9x-9

y=9/5x-9/5

Comparing with y=mx+c we get slope m=9/5

Slope of a line parallel to this line=9/5

Slope of a line perpendicular to this line=-5/9

Step-by-step explanation:

The equation (1 + 0.05)x = 7350 to find the actual number of steps you took today will be 7,000.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicate that you took 7350 steps today.

Let x be the actual number of steps. Then the equation will be given as,

(1 + 0.05)x = 7350

x = 7350 / 1.05

x = 7,000

The actual number of steps you took today will be

(1 + 0.05)x = 7350

x = 7350 / 1.05

x = 7,000

The equation (1 + 0.05)x = 7350 to find the actual number of steps you took today will be 7,000.

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Answer:

Let the number be x.

8 times that number would be 8x, and taking away 18 from it 8x - 18. Knowing the result of doing this is 30, we can write the following equation:

8x - 18 = 30

And solve it. First we pass the -18 to the sight umming:

8x = 30 + 18

8x = 48

Then the 8 which is multiplying to the right dividig:

x = 48/8 = 6

Now we verify we have done it preporly:

8x - 18 = 30

8 * 6 - 18 = 30

48 - 18 = 30 TRUE

Answer:

x =6

Step-by-step explanation:

Translate into algebraic equation =

[tex]8(x)-18= 30\\= 8x-13=30[/tex]

Let's solve for x

[tex]\mathrm{Add\:}18\mathrm{\:to\:both\:sides}\\8x-18+18=30+18[/tex]

Simplify

[tex]8x=48[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{48}{8}[/tex]

Simplify

[tex]x =6[/tex]

Answer: The first step would be to divide 12 by 6.

Step-by-step explanation:

Answer:

Division.

Step-by-step explanation:

There are two rules that you follow. One is PEMDAS, and the other is the     left -> right rule.

Note that PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

The order of operation is: P , (E & R) , (M & D) , (A & S), parenthesis meaning they can be interchangeable, due to the left -> right rule.

Solve:

First, divide:

12/6 = 2

Next, multiply:

2 x 3 = 6

Finally, add:

6 + 8 = 14

14 is the answer.

ghyc yh fffffjmnnnnnnnnythcgn hyStep-by-step explanation:

vvvv

Answer:

5 males : 4 females

40 males : X females

5/40 =4/X

(cross multiplication)

5x = 4*40

5x = 160

(divide both sides by 5)

X = 32

therefore, there are 32 females at the camp

Answer: 60.875

Step-by-step explanation:

57+59+60+60+61+61+64+65= 487

then 487/8= 60.875

Answer:

60.5

Step-by-step explanation:

because in 8 options there is no middle instead you put 0 to 8 people, the middle of 1 to 8 is 4.5 then, there is the answer

Answer: I think it's "This is not a function because only one amount of plant food remains each day"....let me know if I am wrong though I am not sure.

the answer is 140000 steps

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdrtgaethrtththt

Step-by-step explanation:

Answer:

38-11=3x

27=3x

27/3=x

x=9

[tex]38=11+3x[/tex] collect like-terms

[tex]38-11=3x[/tex] subtract

[tex]27=3x[/tex] divide

[tex]x=\frac{27}{9}[/tex]

[tex]x=9[/tex]

plug [tex]x[/tex] in the equation to make sure of the answer

[tex]38=11+3x\\38=11+3(9)\\38=11+27\\38=38[/tex]

Answer:

It is 0.56 Hope this helps!

Step-by-step explanation:

Answer:

0.5625

Step-by-step explanation:

divide and you get 0.5625. Simplified to the nearest tenth is .6

to the nearest hundreth if .56

Answer:

three and six hundrend eighty five thousands  grams of gold

Step-by-step explanation:

Answer:

360 square inches

Step-by-step explanation:

(8*10)*4

 80*4

 360

Answer:

The answer is d

Step-by-step explanation: