Aubrey is making dumplings. If she uses \tfrac{4}{5} 5 4 ​ cup of dough for each dumpling, how many cups of dough does Aubrey need to make 12 dumplings? Express your answer in simplest form.

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

Answer:

A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!

Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.

Step-by-step explanation:

Answer:

a) 10 blue balls, b) 5/18

Step-by-step explanation:

a)

R=3, G=5, B=x (unknown)

probability of picking red = 1/6 and red = 3 so total = 3(6) = total is 18

3+5 = 8 so B=18-8 -> B=10

b) total is 18 and G=5 so green probability = 5/18

Answer:

[tex]D. \\x>\frac{3}{2}[/tex]

Step-by-step explanation:

12(1/2x - 1/3) > 8 - 2x

6x - 4 > 8 - 2x

6x + 2x - 4 > 8 - 2x + 2x

8x - 4 > 8

8x - 4 + 4 > 8 + 4

8x > 12

8x ÷ 8 > 12 ÷ 8

x  > 1.5

Answer:

[tex]19 = s + p[/tex] and [tex]121 = 7s + 10p[/tex]

Step-by-step explanation:

First we use constraints given by the problem to set up two equations:

We can only have a total of 19 bags, so:

[tex]19 = s + p[/tex]

Then, we want to maximize her sugar load. Using the info on the weight of each bag and the max carrying capacity:

[tex]121 = 7s + 10p[/tex]

Answer:

Step-by-step explanation:

Let the sugar from 7 pound bags be represented by = s

And let the sugar from 10 pound bags be represented by = p

As given, Captain Liz has room for 19 bags of sugar.

This becomes [tex]s+p=19[/tex]      .......(1)

Also given is , she has room for 19 bags of sugar, so equation becomes:

[tex]7s+10p=121[/tex]     ............(2)

Hence, these are the correct equations.

Answer:

You can buy 40 tacos

You have enough money

Step-by-step explanation:

Given

[tex]Amount = \$20[/tex]

[tex]Taco = 20[/tex]

[tex]Unit\ Cost = \$0.50[/tex] --- missing from the question

Required

Determine if you have enough amount

The number of Tacos that $20 can afford is calculated as:

[tex]Tacos = \frac{Amount}{Unit\ Cost}[/tex]

So, we have:

[tex]Tacos = \frac{20}{0.50}[/tex]

[tex]Tacos = 40[/tex]

[tex]40 > 37[/tex] -- i.e. the number of Tacos will go round the 37 students

Hence, you have enough money

Answer:

45

Step-by-step explanation:

9x5

Answer:

4

Step-by-step explanation:

Four people will play basketball, so 10 - 4 = 6.

Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.

The rest will play soccer, which is 4.

Answer:

[tex](36 \div 4) + 8[/tex]

[tex]9 + 8[/tex]

[tex]17[/tex]

Answer: 17

Step-by-step explanation:

36/4 = 9

9 + 8 = 17

1st one = Arithmetic (A)

2nd = neither

3rd = Geometric (G)

4th = A

5th = G

Answer:

Congruent

Vertical

Step-by-step explanation:

E and G are vertical angles and vertical angles are equal

They are congruent because they are vertical

[tex]n = \frac{6}{m + 1} [/tex]

Hope it helps you...

The value of n is n= 6/( m+1).

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

mn - 3 = 3 - n

mn + n = 6

n(m+ 1) =6

n= 6/( m+1)

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

(4,4)

y = 4

x = 4

Step-by-step explanation:

First we need to input y = 1/2x + 2 into 4x - 2y = 8.

4x - 2 (1/2x + 2) = 8 <-- Then solve

4x - 1x + -4 = 8

3x - 4 = 8

    +4   +4

---------------------

3x    =    12

3             3

x = 4

Now we need to use x and apply it to find y.

y = 1/2x + 2

y = 1/2(4) + 2

y = 2 + 2

y = 4

Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.

You need to graph the point (4,4).

I hope this helps!

Answer:

see graph  (4,4)

to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)

do for both points , and draw al LINE between them...

repeat fore the second equation... the "solution" is where the two lines cross

Step-by-step explanation:

Answer:

3 each

Step-by-step explanation:

36 / 12 = 3

.................................................

Answer:

pls use calculater

Step-by-step explanation:

because i also dont know now what shall i do so its a good suggestion for you i hope

Answer:

√124

Step-by-step explanation:

Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2

x^2 + (√101)^2 = 15^2

x^2 = 15^2 -  (√101)^2

x^2 = 225 - 101

x^2 = 124

x = √124

The answer is √124

Answer:

Step-by-step explanation:

Answer:

D.-3,-1 for 4x-2y=10 y=2x-5

Answer:

B

Step-by-step explanation:

A=(3*sqrt(3)*a^2)/2

A=(3*sqrt(3)*400)/2=1038

Answer:

B.  1,038 in.2

Step-by-step explanation:

Angle CBD= 81°

I hope it helps you...

Answer:

81

Step-by-step explanation:

∠CBD is the exterior angle of  the ΔABC.

Exterior angle property:

Exterior angle equals the sum of opposite interior angles.

∠CBD = ∠ABC + ∠ACB

           = 53 + 28

           = 81°

Answer:

0.50 or about half a year longer.

Step-by-step explanation:

We can write an equation to model bot investments.

Oliver invested $970 in an account paying an interest rate of 7.5% compounded continuously.

Recall that continuous compound is given by the equation:

[tex]A = Pe^{rt}[/tex]

Where A is the amount afterwards, P is the principal amount, r is the rate, and t is the time in years.

Since the initial investment is $970 at a rate of 7.5%:

[tex]A = 970e^{0.075t}[/tex]

Carson invested $970 in an account paying an interest rate of 7.375% compounded annually.

Recall that compound interest is given by the equation:

[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]

Where A is the amount afterwards, P is the principal amount, r is the rate, n is the number of times compounded per year, and t is the time in years.

Since the initial investment is $970 at a rate of 7.375% compounded annually:

[tex]\displaystyle A = 970\left(1+\frac{0.07375}{1}\right)^{(1)t}=970(1.07375)^t[/tex]

When Oliver's money doubles, he will have $1,940 afterwards. Hence:

[tex]1940= 970e^{0.075t}[/tex]

Solve for t:

[tex]\displaystyle 2 = e^{0.075t}[/tex]

Take the natural log of both sides:

[tex]\ln\left (2\right) = \ln\left(e^{0.075t}\right)[/tex]

Simplify:

[tex]\ln(2) = 0.075t\Rightarrow \displaystyle t = \frac{\ln(2)}{0.075}\text{ years}[/tex]

When Carson's money doubles, he will have $1,940 afterwards. Hence:

[tex]\displaystyle 1940=970(1.07375)^t[/tex]

Solve for t:

[tex]2=(1.07375)^t[/tex]

Take the natural log of both sides:

[tex]\ln(2)=\ln\left((1.07375)^t\right)[/tex]

Simplify:

[tex]\ln(2)=t\ln\left((1.07375)\right)[/tex]

Hence:

[tex]\displaystyle t = \frac{\ln(2)}{\ln(1.07375)}[/tex]

Then it will take Carson's money:

[tex]\displaystyle \Delta t = \frac{\ln(2)}{\ln(1.07375)}-\frac{\ln(2)}{0.075}=0.4991\approx 0.50[/tex]

About 0.50 or half a year longer to double than Oliver's money.

1) 8

2) 6(5x+2y) factor out greatest common factor

3) 10.8 just move over decimal two places to the left.

4) 30t=150? Then t=5kg Im not sure what the last one is asking, but I’m assuming it’s to solve for t.

Answer:

16 direct

17 indirect

Step-by-step explanation:

16.

If it is a direct variation

y/x = constant

4/-2  -2

-8/4 = -2

-12/6 = -2

This is a direct variation

17.

y/x = -1/2 /-2 = 1/4

y/x = -1/-1 = 1

This is not a direct variation

If it is an indirect variation then

yx = constant

-1/2 * -2 = 1

-1*-1 =1

3 * 1/3 =1

This is an indirect variation

Answer:

y^{n+4}

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{y^n *y^{\frac{5}{4} } }{y^{\frac{1}{4} } } =y^n*y^{\frac{5}{4} } \times y^{-\frac{1}{4} } =y^{n+\frac{5}{4} -\frac{1}{4} } \\=y^{n+\frac{5-1}{4} } \\=y^{n+\frac{4}{4} } \\=y^{n+1}[/tex]

Answer:

104m, 0.096km, 2100cm

Step-by-step explanation:

0.096 kilometres = 9600

2100 cm

104m = 10400 cm

10400, 9600, 2100

104m, 0.096km, 2100cm

Answered by Gauthmath

Answer:

104m, 0.096km, 2100cm

Step-by-step explanation:

0.096 kilometres = 9600cm

2100cm

104m = 10400cm

10400, 9600, 2100

104m, 0.096km, 2100cm

Answer:

y = 4x-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point in and solve for b

3 = 4(1)+b

3 = 4+b

3-4 = b

-1 =b

y = 4x-1

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

y = 4x + b

3 = 4(1) + b

3 = 4 + b

b = -1

y = 4x - 1

Answer:

Step-by-step explanation:

5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition

5a -5 -15 = 3a +6 + 4, isolate the variable on one side

5a -3a = 6 +4 +5 +15, combine like terms

2a = 30, divide both sides by 2

a= 15

Step-by-step explanation:

None of the options are written as standard except option D.

Answer:

D. y = 6x

Step-by-step explanation:

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