Savannah divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/4 of a liter into each bottle. How many smaller bottles did Savannah fill?

Step-by-step explanation:

Explanation:

Less Men, means more Days {Indirect Proportion}

Let the number of days be x then,

27 : 36 :: 18 : x

[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]

=>27x = 36 * 18

=> x = 24

So 24 days will be required to get work done by 27 men..

Answer:

36 men can complete work in 18 days

so, one man can complete work in 18×36 days

Therefore, 27 can complete work in 18×36/27 = 24 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

i am not really fully sure

Answer:

156,23

Step-by-step explanation:

let the numbers be x and y and x>y

x+y=179

x-y=133

add

2x=312

x=156

156+y=179

y=179-156=23

Answer:

156 and 23

Step-by-step explanation:

Step 1: Set up the system of equations.

Step 2: Solve x + y = 179 for x.

Step 3: Substitute -y + 179 for x in x - y = 133.

Step 4: Substitute 23 for y in x = -y + 179

Therefore, the numbers are 156 and 23.

Answer:

£3150

Step-by-step explanation:

First you divide 5 by 100.

5% Interest Rate = 0.05

Then you times 3000 by 0.05.

3000 × 0.05 = 150

Then your add your answers together.

3000 + 150 = 3150

Answer:

£3150

Step-by-step explanation:

is the correct 1

Answer:

27+a

Step-by-step explanation:

Answer:

Your answer is  B = 6

Step-by-step explanation:

[tex]A^{2} +B^{2} = C^{2} \\5^{2} + B^{2} = \sqrt{61} ^{2} \\B^{2} = \sqrt{61} }^{2} -5^{2} \\B^{2} = 61 - 25\\B = \sqrt{36} \\B = 6[/tex]

Hope this helps!

112.5 miles in 2.5 hours

Answer:

Step-by-step explanation:

speed × time = distance

45 × 2.5 = 112.5

45 is the speed

2.5 is the time

11.25 is the distance

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

Answer:

-3

Step-by-step explanation: i got it right on my test

Answer:

A. y=x2 - 7

   y=x + 6

B. 7

Answer:

A.) 2x = y + 7

     y = x + 6

The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.

B.) They are both correct so Jacob's score is 13 points and Paul's is 19.

6 + 7 = 13 (the difference between scores in both equations)

6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.

Hope This Helps!

Answer:

∠ B= 107°

Step-by-step explanation:

The sum of the 3 angles in  Δ ACD = 180° , then

∠ D = 180° - (32 + 41)° = 180° - 73° = 107°

The opposite angles D and B are congruent in a kite , so

∠ B = ∠ D = 107°

Answer:

shorter piece is 28.8 inches

Step-by-step explanation:

Answer28.8

Step-by-step explanation:

28.8 x 5 = 144

Answer:

x = 3

Step-by-step explanation:

-6x + 6 = -12

Subtract 6 on both sides

-6x + 6 -6 = -12 -6

-6x = -12 - 6

Simplify

-6x = -18

Divide by -6 on both sides

-6x/-6 = -18/-6

Simplify

x = 3

Answer:

B

Step-by-step explanation:

x = -5

Put in -5 for x, and expand:

-40(k-x) = -40(k+5)

B. -40(k+5)

Answer:

Line passing through (2,2) is parallel to X - 2Y = 4, so, the slope is same as given line.

m = -a/b = -1/-2 = 1/2

The equation is

(Y - Y1) = m(X - X1) => Y - 2 = 1/2(X - 2) =>

2Y - 4 = X - 2 => | X - 2Y = -2 |

Answer:

-9/16 > -7/10

Step-by-step explanation:

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Step-by-step explanation:

(x/2) +(y/-8)=1

[tex] \frac{x}{2} - \frac{y}{8} = 1[/tex]

well that is the equation

Answer:

y=(y/x+8/x) x-8

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

Answer:

I think it's angle 10

Step-by-step explanation:

I'm not 100% sure, but I think this is it because angles 10 and 2 have the same relative position at the intersection.

I hope this helps

49+(-29)-3.Answer:

The answer is -80

Step-by-step explanation:

1. What I did first was plug in -7 into "x", so then your  expression is[tex](-7^{2} )+4*(-7)-3[/tex]

2. Then you multiply 7 two times and get - 49... So then you have -49+4(-7)-3

3. Then you multiply the 4 and -7 and get -29... So now you have -49+(-29)-3

4. Then you add -49 and -29. but keep the negative and get -77... so now you have -77-3

5. Then you add -77-3 but keep the negetive and get -80.

I hope this helps... have a wonderful day.

Answer:

x = + - 3(y-2)

this it ut

Answer:

It will be the oval, yw :)

Answer:32-2=30 30+1+3=34 . Ans:34

Step-by-step explanation:

Answer:

32-3(4)

24

24 squared is

576

Answer:

8/9

Step-by-step explanation:

10-2/10-1=8/9

slope=8/9

Answer:

8/9

Step-by-step explanation:

Here,

(1,2)=(x1,y1)

(10,10)=(x2,y2)

Now,

Slope(m)=(y2-y1)/(x2-x1)

=(10-2)/(10-1)

=8/9

Answer:

slope is positive 2/1

Step-by-step explanation:

Answer:

a) the slope is 2 because the line goes from (4,1) to (5,3)

I d k any of the bonus questions tho sorryyyy

Step-by-step explanation:

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

Answer:

Yo use gauth mathhhhhhh

Step-by-step explanation:

Words Decimal Representation Scientific Notation

ten million 10,000,000 1 x 107

one hundred million 100,000,000 1 x 108

one billion 1,000,000,000 1 x 109

ten billion 10,000,000,000 1 x 1010