a recipe calls for 1 8 teaspoon of vanilla extract for one batch of cookies how much vanilla extract is needed to make 4 batches math

Answer:

x = -12

Step-by-step explanation:

Equation:-

x/-2 = 6

=> x = 6(-2)

=> x = -12

Answer:

x = -12

Step-by-step explanation:

x/-2 =6

cross multiply : -2*6 = x

-12 = x

Answer:

0.25¢

Step-by-step explanation:

12.00÷48=0.25 or

1200÷48=25 then move decimal 2 places to the left.

Step-by-step explanation:

it is really easy.

let's imagine an even simpler scenario :

2 units cost $4.

how much is 1 unit ?

I am sure you know what to do.

it is also similar to "there are 4 slices of pizza for 2 people - how many slices does every person get ?"

we divide the whole by the number of parts we need to split it into.

4/2 = 2

one unit costs $2, every person gets 2 slices.

now, in the same way we approach the given problem :

48 cans cost $12

how much is 1 can ?

the whole is $12.

and we need to split this into 48 parts.

so,

1 can = 12 / 48 = 1/4.

$1/4 = a quarter (hence the name) = $0.25

so, 1 can (and that is the meaning of "unit rate") costs $0.25.

Answer:

Step-by-step explanation:

Chickens = x, Cows = y

Sum of animals:

Sum of legs:

Solve by elimination, multiply the first equation by 4 and subtract the second equation:

Reason:

Direct proportion equations are straight lines that go through the origin.

Choices A through C are straight lines, but they don't go through the origin. Luckily, choice D fits both criteria mentioned above.

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Same reason as him.

Answer:

130

Step-by-step explanation:

For this problem, we will apply the Pythagorean theorem which states:

a^2+b^2=c^2

*where a and b are short sides in the right triangle and c is the longest side or hypotenuse*

We are given that:

a=50

b=120

We can find the longest side c as:

a^2+b^2=c^2

50^2 +120^2=c^2

2500+14400=c^2

16900=c^2

c=130

We can conclude the length of the longest side is 130.

The surface area of a shape is the amount of space on it

The surface area of the hexagonal prism is 189.9 square millimeter

The given parameters are:

Side length : l = 4.2 mm

Height: h = 3.9 mm

Base area: A = 45.8 square mm

The surface area is then calculated as:

[tex]SA = 6lh + 3l^2\sqrt {3[/tex]

So, we have:

[tex]SA = 6 * 4.2 * 3.9 + 3 * 4.2^2\sqrt {3[/tex]

Evaluate

[tex]SA = 189.9[/tex]

Hence, the surface area of the hexagonal prism is 189.9 square millimeter

Read more about surface areas at:

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Answer:

Miguel runs 1/6 miles per minute

Step-by-step explanation:

Answer:

-12?

Step-by-step explanation:

I think it might be that beacause 4 - 8 = -4 so then -4 x 3 = -12??? I am just guessing!!:)

i'm not sure if you mean 25% off or 25% of so i'll just do both

25% OFF: $150

25% OF: $50

Answer:

y = -3/5 x +3

Step-by-step explanation:

( 0 , 3 ) , ( 5, 0 )

find gradient of the line = 0 - 3 / 5 - 0 =  -3 / 5

then place any coordinates that touch the line like

y - 3 = -3/5 ( x - 0 )

y = -3/5 x +3

proved in the graph below

Answer:

X=1 Y=6

Step-by-step explanation:

6x=-4x+10

10x=10

x=1

6×1=6

Answer:

so 12 - 4= 8 so it depends on how many sides there are but if i take a wild guess just for the whole pan to be even a good 6 or 4

Step-by-step explanation:

From other side, 4 units need to be removed to keep pans balanced.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Given, equation

7 + 5 = 12

4 units removed from one side, let x unit needed to be removed from other side.

7 + 5 - 4 = 12 - x

12 - 4 = 12 - x

x = 4

4 units needed to be removed from other side.

Hence, 4 units should be removed from other side also to keep the pans balanced.

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Answer:

0

Step-by-step explanation:

You can convert from scientific notation to simple notation using the fact that negative powers can be converted to division.

The correct option is given by

Option C. The greatest number is 8. 2 × 10-3. It is 2,000 times greater than the smallest number.

Suppose you have got [tex]a^{-b}[/tex]

Then we have

[tex]a^{-b} = \dfrac{1}{a^b}[/tex]

[tex]8.2 \times 10^{-3} = \dfrac{8.2}{10^3} = \dfrac{8.2}{1000} = 0.0082\\\\5.2 \times 10^{-6} = \dfrac{5.2}{10^6} = \dfrac{5.2}{1000000} = 0.0000052\\\\4.1 \times 10^{-6} = \dfrac{4.1}{10^6} = \dfrac{4.1}{1000000} = 0.0000041[/tex]

Thus, we can see that

The greatest number among given numbers is [tex]8.2 \times 10^{-3}[/tex]

The smallest number among the given numbers is [tex]4.1 \times 10^{-6}[/tex]

Dividing greatest number by smallest to see how many times the greatest number is greater than the smallest number

[tex]\dfrac{8.2 \times 10^{-3}}{4.1 \times 10^{-6}} =\dfrac{8.2}{4.1} \times \dfrac{10^{-3}}{10^{-6}} = 2 \times 10^{-3 - (-6)} = 2 \times 10^3 = 2000[/tex]

Remember that when base are same, and there is division, then power gets subtracted, that's why we got [tex]\dfrac{10^{-3}}{10^{-6}} = 10^{-3 - (-6)} = 10^3[/tex]

Thus, we have the greatest number 2000 times bigger than the smallest number among the numbers given.

Thus, the correct option is

Option C. The greatest number is 8. 2 × [tex]10^{-3}[/tex]. It is 2,000 times greater than the smallest number.

Learn more about scientific notations here:

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Answer:

4mins in 50 second

you would divided 18 divided by 4

Answer:

(x, y) = (3, 5/2)

Step-by-step explanation:

[tex]4x+2y=17\\3x+2y=14[/tex]

I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.

[tex]4x+2y=17\\-(3x+2y=14)[/tex]

Now just add those from top to bottom.

[tex]\rightarrow (4x-3x)+(2y-2y)=17-14\\\rightarrow x=3[/tex]

Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.

[tex]4x+2y=17\\\rightarrow 4(3)+2y=17\\\rightarrow 12+2y=17\\\rightarrow 2y=5\\\rightarrow y=\frac{5}{2}[/tex]

(x, y) = (3, 5/2)

Answer:

Step-by-step explanation: -2

The subtraction of 7 from 9 means -2.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

Given:

Subtraction of 7 from 9.

The value,

= 7 -9

= -2.

Therefore, the value of an expression is -2.

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Answer:

-16

Step-by-step explanation:

1-2^3-3^2

1-(2)(2)(2)-(3)(3)

1-8-9

-7-9

-16

Answer:

Incomplete-

Step-by-step explanation:

Apologies, but your problem is 1 - 2³ - 3² 1 right?

What goes in between 3² and 1?  Or is it multiplication and there was an accidental space there?  I'm not sure, but am I the only one confused? :'D

However, if I take out the 1 and make the problem:

1 - 2³ - 3²

Then the answer is:

-16

Answer:

Option B

Step-by-step explanation:

Look at the formulas for better understanding

[tex]\\ \tt\longmapsto Velocity=\dfrac{Displacement}{Time}[/tex]

[tex]\\ \tt\longmapsto Spped=\dfrac{Distance}{Time}[/tex]

Both require tim but velocity require displacement and speed requires Distance

Using it's concept and the combination formula, it is found that there are 364 elements in the sample space for this experiment.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

We have that 3 vegetables are taken from a set of 14, hence:

[tex]C_{14,3} = \frac{14!}{3!11!} = 364[/tex]

There are 364 elements in the sample space for this experiment.

You can learn more about sample space at https://brainly.com/question/25861936

Answer:

[tex]37.\bar{2}\textdegree C[/tex]

Step-by-step explanation:

The formula for converting °F to °C is:

[tex](\textdegree F -32) \frac{5}{9}=\textdegree C[/tex]

We are given the temperature of 99°F.

=====================================

[tex](99\textdegree F -32) \frac{5}{9}=\textdegree C\\\rule{150}{0.5}\\(67) \frac{5}{9}= \textdegree C\\\\\boxed{37.\bar{2} = \textdegree C}[/tex]

=====================================

Diane's temperature in Celsius is 37.22...°C.

The 2 is recurring.

=====================================

Hope this helps!

Answer:

Step-by-step explanation:

[tex]\dfrac{(2*3^{-2})^{3}(5*3^{2})^{2}}{3^{-2}*(5*2)^{2}}=\dfrac{2^{3}*3^{-2*3}*5^{2}*3^{2*2}}{3^{-2}*5^{2}*2^{2}}\\\\\\=\dfrac{2^{3}*3^{-6}*5^{2}*3^{4}}{3^{-2}*5^{2}*2^{2}}\\\\\\=2^{3-2}*3^{-6+4-(-2)}*5^{2-2} = 2^{1}*3^{-6+4+2}*5^{0}\\\\\\=2*3^{0}*5^{0}=2*1*1 \\\\\\= 2[/tex]

[tex]3) 3^{3}(4^{0})^{2}*(3*2)^{-3} * 2^{2}=3^{3} *1 *3^{-3}*2^{-3}*2^{2}\\\\\\= 3^{3-3}*2^{-3+2} = 3^{0}*2^{-1} = 1*2^{-1}\\\\\\=\dfrac{1}{2}[/tex]

[tex]3)\dfrac{3^{7}*4^{7}*(2*5)^{-3}*5^{2}}{12^{7}*5^{-1}*2^{-4}}\\\\\\=\dfrac{3^{7}*((2^{2})^{7}*2^{-3}*5^{-3}*5^{2}}{(2^{2}*3)^{7}*5^{-1}*2^{-4}}\\\\\\=\dfrac{3^{7}*2^{2*7}*2^{-3}*5^{-3}*5^{2}}{2^{2*7}*3^{7}*5^{-1}*2^{-4}}\\\\\\=\dfrac{3^{7}*2^{14}*2^{-3}*5^{-3}*5^{2}}{2^{14}*3^{7}*5^{-1}*2^{-4}}\\\\\\=3^{7-7}*2^{14-3-14+4}*5^{-3+2+1}\\\\=3^{0}*2^{1}*5^{0}\\\\\\=1*2*1\\\\\\=2[/tex]

Hint:

[tex]a^{0}=1\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\a^{m}*a^{n}=a^{m+n}\\\\\\a^{-m}=\dfrac{1}{a^{m}}[/tex]

Answer:

The answer is 14/5 cups

Step-by-step explanation:

4/5 cup of milk powder

2 cups of sugar

If we mix it together we get,

4/5 + 2

4 + 2(5)/5

4 + 10/5

14/5

Thus, 14/5 cups will there be in all.

-TheUnknownScientist 72

Answer:

5

Step-by-step explanation:

x−y=−11, so x = y - 11

y+7=−2x, y + 7 = -2(y - 11)

y + 7 = -2y + 22

3y + 7 = 22

3y = 15

y = 5

Answer:

D) Jump

Step-by-step explanation:

Instead of explaining why D is right, I will explain why A, B, and C are wrong.

A) Speed does not apply to graphs unless that is the x or y value.

B) Constant slopes only apply to linear graphs, in which the only change would be a constant one.

C) An increase is not the proper term for this.

This only leaves D.

A jump is like when a graph has the points,

(1,1)

(2,2)

(3,3)

(4,6)

(5,7)

(6,8)

Answer:

B

Step-by-step explanation: