A recipe that makes 1 1/2 dozen cookies requires 3/4 cup of sugar. Shanika wants to make 6 dozen cookies. How many cups of sugar will she need

F. 1 1/8 cups
G. 4 cups
H. 6 3/4 cups
J. 3 cups

Answer:

3/10 and 355/1000

Step-by-step explanation:

Answer:

27°

Step-by-step explanation:

I'm assuming you have learned basic trigonometry: SOH CAH TOA. In this diagram to find the angle x we are given the opposite side and the hypotenuse, therefore we will use SOH. sinθ = opp/hyp. Plugging in those values we get sinθ = 5/11 -> θ = sin⁻¹ (5/11) = 27.03569179° = 27°

Answer:

The answer is C.

Step-by-step explanation:

Answer:

6108795

Step-by-step explanation:

To obtain the number of ways the committee can be selected :

4 teachers from the 12 teachers available and 3 students from the 43 students available

Using combinatorics :

12C4 * 43C3

recall :

nCr = n! ÷ (n - r)!r!

Using calculator :

12C4 = 495

43C3 = 12341

12C4 * 43C3

495 * 12341

= 6108795

Answer:

x = 12

Step-by-step explanation:

equation:

x + 4 = 16

to solve for x, subttract 4 on each side:

x + 4 - 4 = 16 - 4

x = 12

Answer:

a trapezoid

Step-by-step explanation:

Answer:

D: Trapezoid.

Step-by-step explanation:

Because you can see that the shape has only one set of parralel sides it is a trepezoid.

Answer:

Step-by-step explanation:

With 22% decrease the value after the year is:

To find 78% we need to multiply the current value by 0.78.

The same number is multiplied each year to find the decreased value.

The formula for the car would be:

The decay factor is 0.78

Correct choice is B

Answer:

m. m, .;.

Step-by-step explanation:

Answer:

let ratio 6:4:2 be 6x,4x and 2x

we have

6x+4x+2x=180 sum of interior angle of the triangle is 180

12x=180

x=180/12=15

Step-by-step explanation:

missing Angle are

6x=6×15=90°

4x=4×15=60°

2x=2×15=39°

Answer:

3.95

Step-by-step explanation:

R = 7.9/2 = 3.95

Answer:

Step-by-step explanation:

rate of change is the slope of the line

plot the data and calculate the slope or simple find the delta cost divided by the delta people

    (cost x - cost y) / (people x - people y)  = rate of change

you can pick any cost as long as you use the coresponding people

    (19.75 - 7.90) / (5 - 2)  = rate of change

    ( 11 .85) / (3)   = rate

     3.95 = rate

try it for different cost and people and see if you get the same rate, it looks linear to me

Answer:

FV= $10,714.81

Step-by-step explanation:

Giving the following information:

Initial investment= $7,567

Number of periods= 7*4 = 28 quarters

Interest rate= 0.05/4= 0.0125

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 7,567*(1.0125^28)

FV= $10,714.81

Answer:

7 feets

Step-by-step explanation:

Volume of shed, V = 357 feet³

Height of shed, H= 8 1/2 fts

Width of shed, W = 6 ft

Using the relation :

Volume = Length * width * height

357 = L * 6 ft * 17/2 feets

357 feets³ = L * 51 feets²

L = 357 feets³ / 51 feets²

Length, L = 7 feets

Answer:

I cant see picture

Step-by-step explanation:

Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

Answer:

x ≈ 261 ft

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{200}{x}[/tex] ( multiply both sides by x )

x × sin50° = 200 ( divide both sides by sin50° )

x = [tex]\frac{200}{sin50}[/tex] ≈ 261 ft ( to the nearest foot )

x ≈ 261 ft

that is the answer

Answer:

p = 5k - 40

Step-by-step explanation:

Since we're finding the profit (p), it's not the last answer choice because it's finding kids (k).

Because we have to take out from her profit whatever Katie spent, we would have -40.

Because she'd charging $5 per kid, or $5 per k, we would have 5k.

So now we know the profit is whatever she makes, then minus whatever she spent. So:

p = 5k (what she makes) - 40 (what she spent)

p = 5k - 40

Answer:

O p = 40k + 5

Step-by-step explanation:

Katie is raising money to buy  a dog. She starts a  neighborhood babysitting service.

Answer:

22

Step-by-step explanation:

10/2 $5 per pack

110/5= 22 packs

Answer:

70°, ,have a nice day

Answer:

∠BCO = 70°

Step-by-step explanation:

AO = CO = BO because all radii of the same circle are equal.

∠ACO = 20° because it is an isosceles triangle.

∠BCA = 90° because a triangle with it's hypotenuse being the diameter of a circle is a right triangle.

∠BCA - ∠ACO = ∠BCO

90° - 20° = 70°

∠BCO = 70°

Answer:

4.90m

Step-by-step explanation:

A sector of a circle of diameter 11 cm is formed from an angle of size 51. Find the length of the arc rounded to two decimal places

Length of an arc = 2πr(θ/360)

(θ) = 51°

r = Diameter/2 = 11/2

= 5.5

Length of an arc = 2 × π × 5.5(51/360)

= 4.89565m

Approximately = 4.90m

Answer: 1/2 + 1/5 = 1/7 I don't know how to show you the rectangle but I hope this helps

After solving the equation the value obtained from this will be equal to 7/10.

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is vital for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given information in the question,

1/2 + 1/5

Take the LCM of denumerator and then add accordingly,

= 7/10

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.

#3

Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.

cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]

#4

Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.

csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]

The pythagorean identities are

sin^2 + cos^2 = 1,

1 + cot^2 = csc^2,

tan^2 + 1 = sec^2.

#5

Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.

sin^2 + (-3/4)^2 = 1

sin^2 + 9/16 = 1

sin^2 = 7/16

sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]

Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.

tan^2 + 1 = (-4/3)^2

tan^2 + 1 = 16/9

tan^2 = 7/9

tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]

#6

Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.

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

1 + cot^2 = 6/4

cot^2 = 2/4

cot = [tex]\frac{\sqrt{2}}{2}[/tex]

tan = [tex]\sqrt{2}[/tex]

Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.

[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2

4/2 + 1 = sec^2

2 + 1 = sec^2

sec^2 = 3

sec = -[tex]\sqrt{3}[/tex]

cos = [tex]\frac{-\sqrt{3}}{3}[/tex]

Hope this helps!! :)

Answer:

sin(θ)=√7/4

tan(θ)= - √7/3

Step-by-step explanation:

c^2= √(4^2-(-3^2))

c^2= √(16-9)

c^2= √7

sin(θ)= opp/hyp=√7/4

tan(θ)= (opp )/adj= - √7/3

Complete question :

A swimming pool is the shape of a right rectangular prism. If the pool is 12 3/4 yards long, 5 2/3 yards wide, and 9 yards deep, what is the volume of the swimming pool

Answer:

650 1/4 yd³

Step-by-step explanation:

Volume of a rectangle prism :

V = Length * width * height

V = 12 3/4 * 5 2/3 * 9

V = 51/4 * 17/3 * 9/1

V = (51*17*9) / (4*3*1)

V = 7803 / 12

V = 650 3/12

Volume of swimming pool = 650 1/4 yd³

Step-by-step explanation:

content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp

Answer:

The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet

Step-by-step explanation:

hope it helps !

Answer: 75 feet

Step-by-step explanation:

Answer:

im 95% sure the answer is 6

Step-by-step explanation:

when i wrote it down it just never came out to one of thoes answers, but 6 was the closest

Answer:

The Y intercept is two

Step-by-step explanation:

The y intercept is the point on a graph where the graph crosses the y axis.

Basically, it is the value of y when x is 0 is (x,y)

Looking at the attached graph, our y intercept is (0,2), meaning that the y-intercept is 2.

The answer is: the Y-INTERCEPT is 2

Answer:dont worry :) its right! hit enter!

Step-by-step explanation:

Answer:

Step-by-step explanation:

w' = (1, - 1 ) check

C' = ( 4, 2 ) check

Answer: x = 1

Step-by-step explanation:

5 ( 2x - 8 ) + 15 = -15 (write the equation)

5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)

2x - 8 = -6 (divide by 5 on both sides)

2x = 2 (add 8 to both sides)

x = 1 (divide by 2 on both sides)

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

Skills needed: One-Variable Equations, Solving Equations

1) The first thing is to use P.E.M.D.A.S

There are no Parentheses, or Exponents, so we go to multiplication

The quantity we multiply is: [tex]5(2x-8)[/tex]

Using distributive property (which is [tex]a(b+c) = ab+ac[/tex]), you get:

[tex]5(2x-8) = 5(2x) - 5(8) = 10x - 40[/tex]

2) Now, we substitute back in and combine like terms:

[tex]10x-40+15=-15[/tex]

Combine the -40 and 15 ([tex]-40+15=-25[/tex])

Then, you will get: ([tex]10x-25=-15[/tex])

3) Add 25 to both sides, to isolate the variable:

[tex]10x = -15+25[/tex], and then -15+25 is 10, so

[tex]10x = 10[/tex]

4) Divide by 10 on both sides, and get [tex]x = 1[/tex]

Hope this helps and have a nice day!! :) :]

Answer:

x=d/a - by/ac

Steps:

ax+by/c=d

(cax+by)/c=d

cax+by=cd

cax=cd-by

x=(cd-by)/ca

x=cd/ca - by/ca

x=d/a - by/ac