A recipe calls for 1 part coconut to 4 parts sugar. How much sugar will you need if you use 20 grams of coconut?

Answer:

[tex]3\frac{1}{5}n[/tex] + 4

Step-by-step explanation:

First Step: Write the equation

(3n - 9) + ([tex]\frac{1}{5}[/tex]n + 13) =

Second Step: Combine like terms together

(3n + [tex]\frac{1}{5}[/tex]n) + (-9 + 13)=

Third Step: Simplify

[tex]3\frac{1}{5}n[/tex] + 4

Hope this helped! <3

Answer:

a,b=4,-2

Step-by-step explanation:

Subtract:

a-a+4b-10b=-4-(-16)

-6b=-4+16

-6b=12

b=-2.

Plug in:

a+4(-2)=-4

a-8=-4

a=4.

Hope this helps plz hit the crown :D

Answer:

420/89

Step-by-step explanation:

What we know:

Demetrius scored 28 points in 356 seconds.

To get the per second rate divide 28 by 356.

28/356 = 7/89

Here, we're looking for the per minute rate, so multiply the previous rate by 60.

(7*60)/89 = 420/89 (Since this asks for an improper fraction, I'll keep it as so.)

Answer:

77 F

Step-by-step explanation:

F = (1.8)*25 + 32

  = 45+32

  = 77

Hope this helps!

Answer:

77 degrees Fahrenheit

Step-by-step explanation:

plug 25 into 'C' in the formula

F = 1.8(25) + 32

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Answer/Step-by-step explanation:

The equation of the line that passes through the two points would be correct if each point, when substituted into the equation, satisfy the equation.

This is what I mean:

Given the equation of the line, y = 2x - 5, and the two points (-2, -9) and (3, 1):

For the first point, substitute x = -2, and y = -9 into y = 2x - 5.

Thus:

-9 = 2(-2) - 5

-9 = -4 - 5

-9 = -9 (this is true). It means the line runs through the point (-2, -9)

For the second point, substitute x = 3, and y = 1 into y = 2x - 5

This:

1 = 2(3) - 5

1 = 6 - 5

1 = 1 (this is true). This also means the point, (3, 1) is also a point that the equation runs across.

Answer:

Step-by-step explanation:

Answer:

90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World

Step-by-step explanation:

Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...

1.5  <=====>  135 stamps

1.2  <=====>  x  stamps (United States)

(1.2 * 135) / 1.5 = 108 stamps (United States)

1.5  <=====>  135 stamps

1  <=====>  x  stamps (Canada)

(1 * 135) / 1.5 = 90 stamps (Canada)

Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5

Answer:

d on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

12x - 4 = 56

add 4 to each side

12x = 60

divide each side by 12

x = 5

Answer:

r = 64

Step-by-step explanation:

r = (k*t*u)/s

Where,

k = constant of proportionality

t = -12,

u= -7,

s= -4,

r= -126.

r = (k*t*u)/s

-126 = (k*-12*-7)/-4

-126 * -4 = 84k

504 = 84k

k = 504/84

k = 6

Find r when t= -8, u= 8, and s= -6.

r = (k*t*u)/s

= (6*-8*8) / -6

= -384 / -6

= 64

r = 64

Answers:

The first and third options should be selected.

Explanation:

In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.

Let's try the first equation. Substitute 10 for x and 5 for y and solve:

[tex]2x - 5y = -5\\2(10) - 5(5) = -5\\20 - 25 = -5\\-5 = -5[/tex]

-5 does equal -5, so (10,5) is a solution to the first equation.

Next, let's test the second equation. Do the same:

[tex]x + 2y = 11\\(10) + 2 (5) = 11\\10 + 10 = 11\\20 = 11[/tex]

However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.

So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot  be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.

Answer:

51.3°

Step-by-step explanation:

tan y = 10/8 = 1.25

y = 51.3°

Answer:

I'm I'm confused because

Step-by-step explanation:

which question are you talking about?

Answer:

4(20+3)

Step-by-step explanation:

4(2+13) = 4(15)

4(20+30) = 4(50)

4(2+3) = 4(5)

4(20+3) = 4(23)

Therefore, 4(20+3) is the answer since it's equivalent to 4(23).

Answer:

............................................4(20+3)

Answer:more info needed

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Here is the meaning of the "Line of Best Fit" refers to a line through a scatter plot of data points that best expresses the relationship between those points. A straight line will result from a simple linear regression analysis of two or more independent variables.

Here is the rule for the "Line of Best Fit"

A line of best fit can only be drawn if there is strong positive or negative correlation. The line of best fit does not have to go through the origin. The line of best fit shows the trend, but it is only approximate and any readings taken from it will be estimations.

Answer:

B

Step-by-step explanation:

The line starts where the points starts and the line ends where the points end .

Step-by-step explanation:

A(t) = amount in t years

P = Principal (original investment)

r = annual interest rate (in decimal form)

n = number of times that interest is compounded each year

A(t) = P(1 + r/n)nt

Substitute in the given values: 2000 = P(1 + 0.04/12)12(10)

2000 = P(1.490832682)

P = $1341.53

Answer:

(6, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

1/2y = 4

x - 1/2y = 2

Step 2: Solve for y

Step 3: Solve for x

Answer: (6,8)

Step-by-step explanation:

1/2y = 4          

x - 1/2y = 2    

First  solve for y in the first equation.

1/2y = 4      Divide both sides by 1/2

y  =  8  

NOw substitute the value of y into the second equation and solve for x.

x

x - 1/2(8) = 2

x - 4 = 2

  +4     +4

x = 6    

THis makes the solution  (6,8)

lessen it data

and it will become a bigger eqaution

Answer:

open down and have a maximum

Step-by-step explanation:

I took the quiz got it right

Answer:

10/(9y)

Step-by-step explanation:

multiply y by 9: 9y

then divide 10 by the result: 10/(9y)

Answer:

Cash flow refers to the constant movement of money, both where and how much you're spending as well as how much you're earning in return.

Step-by-step explanation:

Answer:

yes they both will because in four they both read more then half the book and one more hours should let them finshed the book

Step-by-step explanation:

Answer:

Zack is able to, but Pam cannot.

Step-by-step explanation:

Number of pages Pam read in 5 hours = 5 x 42 = 210 pages

Number of pages Zack read in 5 hours = 5 x 45 = 225 pages

Zack's pages is greater than 215 while Pam isn't able to read as much.

Answer:

the value of the project is $16,096.88

The computation of the value of the project is shown below:

= (Expected amount generated per year × (1 - (1 ++ rate of returm)^-time period )) ÷ rate of return

= $36,950 ×  [1 - 1.1^-6] ÷ 0.1

= $16,0926.88

Hence, the value of the project is $16,096.88

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

Step-by-step explanation:

9x times -1 =-9x

-9x-18 divide

(4+5=)9

divide 18 by the denominator 9 and get

-9x-2

/1

since anything pretty much divided by 1 remains the same this is simplified to

-9x-2 and since you dont know x's variable this is its simplifed form

Answer:

-9x-2

Step-by-step explanation:

[tex]9x(-1)-18/(4+5)[/tex]

Multiply 9x and -1

[tex]-9x-18/(4+5)[/tex]

Add 4 and 5

[tex]-9x-18/9[/tex]

Divide 18 and 9

[tex]-9x-2[/tex]

I hope this helps!

Answer:

y2-y1

x2-x1

should be correct

Step-by-step explanation:

prove me wrong

Answer:

C) The amount of money in his lunch account

Step-by-step explanation:

Answer:

a. y = -2x + 7

Step-by-step explanation:

First, find the slope by plugging the points into the slope formula, [tex]\frac{-7+5}{7-6}[/tex], which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.

Answer:

A

Step-by-step explanation: