Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup of yogurt. Using this ratio, how much cinnamon does Sandeep need if he uses 3 cups of yogurt?

Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.

Tan x = the opposite side of angle x divided by the adjacent side of angle x

The tangent is √3 when x = 60° or π/3

However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?

This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)

***I am assuming that the negative sign should be outside of the square root sign***

Answer:

[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

[tex]y = 1 -2x[/tex]

Rearrange into slope-intercept form:

[tex]y = -2x+1[/tex]

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

Plug in the given point (1,3) and solve for b:

[tex]3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}[/tex]

Therefore, the y-intercept is [tex]\displaystyle \frac{5}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2} x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]

I hope this helps!

The least amount is the smallest amount, 1/8.

Answer:

(-5,4)

Step-by-step explanation:

Answer:

x= 10

Step-by-step explanation:

C(x) = 2,000x + 60,000

R(x) = 8,000x

Set the solution to zero.

R(x) - C(x) = 0

8,000x - (2,000x  + 60,000) = 0

6,000x - 60,000 = 0

x=10

Step-by-step explanation:

p = (1431.75 - 1051.50)/29.25

p = 13

Answer:

Step-by-step explanation:

width= x

length= x+6

perimter  = 2x+ 2(x+6)

36= 2x+ 2x+ 12

36= 4x + 12

36-12= 4x

4x= 24

x= 6

therefore width= 6cm

length= 6+6 = 12

Answer:

i know 14 and 15 are true but not sure about 12 sry

Step-by-step explanation:

Answer:

bxjfjxucjkkdndjkjhkjjnn

Step-by-step explanation:

The distance between two numbers in a number line is obtained by subtract the two numbers. The order of the subtraction starts with the number a bigger value followed by the number with the smaller value. For example,

x

and

y

are the two numbers and

x

≥

y

, then the correct order should be

x

−

y

.

Answer and Explanation:

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Given the numbers

7

and

−

11

on the number line, find the distance between the two numbers.

Solution:

Since

7

is...

Answer:

1) 8 3/5

2) Option 3

Answer: I'm not sure how to interpret "If 4 (A) between 5/8 and 4/5." If the sentence was supposed to read:

"Is 4:

(A) between 5/8 and 4/5

(B) between 1 and 2

(C) between 0 and 2

(D) between 1/2 and 1

(E) cannot be determined

Step-by-step explanation: If this is the correctly rewritten question, then the answer is NO to all the options. If I have misinterpreted the question, please clarify.

What is the equation of this line?

Answer:

D. Y = 4x-6

Answer:

Step-by-step explanation:

h(-1) = - 3|3(-1) - 6| - 3

h(-1) = - 3|-3 - 6| - 3

h(-1) = - 3|-9| - 3

h(-1) = - 3(9) - 3

h(-1) = - 27 - 3

h(-1) = - 30

Answer:

2924

Step-by-step explanation:

2752 ÷ 16 = 172 ← number of points per coin

After collecting 17 points he will have collected

2752 + 172 = 2924 points in total

Answer:

2924

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

Answer:The number of nickles is 6  

The number of dims is 12 .

Step-by-step explanation:

Given as :

Sum of total number of dims and nickels coins = 18

The value of total combination = $1.50

Let The total number of dims = d

Let The total number of nickels = n

1 nickles = $0.05

1 dims = $0.1

According to question

Total number of dims and nickels coins = number of dims + number of nickels

Or, d + n = 18            .........1

And

$0.1 ×d + $0.05 ×n = $1.50

Or, 0.1 d + 0.05 n = 1.50            .........2

Now, Solving eq 1 an eq 2

0.1 × (d + n) - (0.1 d + 0.05 n) = 0.1 × 18 - 1.50

Or, (0.1 d - 0.1 d) + (0.1 n - 0.05 n) = 1.8 - 1.50

Or, 0 + 0.05 n = 0.3

Or, 0.05 n = 0.3

∴  n =

i.e n = 6

So, The number of nickles = n = 6

Put the value of n int eq 1

∵ d + n = 18

Or, d = 18 - n

Or, d = 18 - 6

i.e d = 12

So, The number of dims = d = 12

Hence, The number of nickles is 6 and the number of dims is 12 .

Step-by-step explanation:

Answer:

5(2)^3 + (2)^2 - 2(2)

5(8) + 4 - 4

=40

Step-by-step explanation:

Since X = 2, you'll put 2 in the place of x, that means anywhere you find an X, you'll replace it with an X.

Answer:

$5.49 per pair of gloves

Step-by-step explanation:

16.47/3=5.49

Answer:

do 16.47 divided by 3  and thats ur answer

Step-by-step explanation:

the answer is $5.49  for 1 pair of gloves

For this case we have a quadratic equation of the form:

ax² + bx + c = 0

Rewriting the equation we have:

3k² -4k - 7 = 0

So we have to:

a = 3

b = -4

c = -7

The solutions will come from:

k = -b±√b²-4(a)(c)/2(a)

Thus, the value of "b" is -4

Answer:

b = -4

Answer: -4

Step-by-step explanation:

i took the quiz its -4

Answer:

if you want to know the x is.

Step-by-step explanation:

(180°－4x)+(180°－6x)+2x=180°

x=22.5°

9514 1404 393

Answer:

  A. CCW 180° about the origin

Step-by-step explanation:

Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...

Answer: January, because negative numbers are positive numbers' opposite; so -11.4 < -10.4

Answer:

[tex] \frac{1}{3} x + \frac{1}{2} [/tex]

This is the answer after simplifying

Answer: 4

Step-by-step explanation:

First create numbers into an improper fraction.

-10/3 * (-3) 2/5

Then solve it using pemdas, resulting into the answer #4

Answer:

11 1/3

Step-by-step explanation:

Answer:

1  thats it

Step-by-step explanation:

Answer:

the second, fourth

Step-by-step explanation:

Since they all have the same fraction, but different positive and negatives in each equation we can find out which ones are equal to the original equation by how many negatives each equation has.

The original equation has 2

first option only has 1, so we can eliminate that one

the second option has two, and they are the same equation as the original, only in reverse, so this one will be one of the answers.

the third only has one so we can get rid of that one.

the fourth has 2, even though it has a + it still makes 2/5 negative, so it is one of the answers as well.

and the fifth one is positive, and there are no negatives, so we can get rid of that one.

so the answers would be the second and fourth ones.

Answer:

5 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the coordinates:

Correct choice is A

Answer:

[tex]y = mx + c \\ m = 1 \\ c = 8 \\ y = 1x + 8 \\ y = x + 8[/tex]

Given :-

To find :-

Solution :-

We know that ,

On substituting ,