What is a new denominator

The angle would be the tangent.

Tangent ( angle) = opposite leg/ adjacent leg

Tangent angle = 28.4/100

Angle = tan^-1(28.4/100)

Angle = 16 degrees

Answer:

x = 0,-3

y = 1,-2

Step-by-step explanation:

We can substitute x+1 for x in the second equation

x(x+1) + 2x = 0

x^2 + 3x = 0

x(x+3) = 0

x = 0,-3

y = 1,-2

Answer:

12x + 3y = 15

Step-by-step explanation:

Answer:

15 litres

Step-by-step explanation:

Given

5 litres = 12 guests

Required

Determine the number of litres for 36 guests

Represent the required number of litres with L.

So, we have the following relationship:

[tex]5\ litres = 12\ guests[/tex]

[tex]L = 36\ guests[/tex]

Cross Multiply

[tex]L * 12\ guests = 5\ litres * 36\ guests[/tex]

[tex]L * 12= 5\ litres * 36[/tex]

[tex]12L = 180\ litres[/tex]

Solve for L

[tex]L = \frac{180\ litres}{12}[/tex]

[tex]L =15\ litres[/tex]

Hence, 15 litres are needed

Answer:

B 10x+5

Step-by-step explanation:

:)

Answer: 8/3

Step-by-step explanation:

So first what you do is you have to add the whole number to the numerator and you do that by multiplying the whole number by the deniminator which is 6. Now you add the 6 to the numerator which is 8, so you get 8/3.

Sorry this got so complicated. Hope this helped!

Answer:

Step-by-step explanation:

Let J(t) represent Juan's equation and A(t) represent Aubree's equation. If Juan starts this venture on page 5, even if he didn't read any more days at all, when t = 0, he would still have read those 5 pages. Because he reads 14 pages per day, then he reads 14t and t represents the number of days gone by. His equation then is

J(t) = 14t + 5

Likewise, for Aubree, even if she decides not to read any more past the original 25 pages she started with, she would still have read those 25 pages. Her equation then would be

A(t) = 10t + 25

We need to know how many days will go by before they are both on the same page, so set the equations equal to each other and solve for t:

14t + 5 = 10t + 25 and

4t = 20 so

t = 5

After 5 days they will have both read the same number of pages.

Answer:

S=H+2

Step-by-step explanation:

OK, so hailey is the variable H. And she is 2 years younger than her sister.

What is the age of her sister?

So we know it has to be, hailey's age + something? = age of her sister.

what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.

H+2=S

OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.

Answer:

S=H+2

Step-by-step explanation:

I got it right and that all that matters.

Answer:

c and a

Step-by-step explanation:

Answer:

She sold 40 tacos and 80 burritos.

Step-by-step explanation:

Let's define the variables:

x = number of tacos sold

y = number of burritos sold

if Skylar sold x tacos, and each taco costs $3, then the total amount she gets is:

$3*x

And if she sold y burritos, and each one costs $6, then the total amount she gets is:

$6*y

combining these two, she has:

$3*x + $6*y

We know that she made a total revenue of $600, then we have the equation:

$3*x + $6*y = $600

We also know that in total, she sold 120 tacos and burritos, then:

x + y = 120

We have the system of equations:

$3*x + $6*y = $600

x + y = 120

To solve this, we need to start by isolating one of the variables in one of the equations, i will isolate x in the second equation:

x = 120 - y

Now we can replace that in the other equation to get

$3*(120 - y) + $6*y = $600

-$3*y + $360 + $6*y = $600

($6 - $3)*y + $360 = $600

$3*y + $360 = $600

$3*y = $600 - $360 = $240

y = $240/$3 = 80

She sold 80 burritos, and we know that:

x + y = 120

x + 80 = 120

x = 120 - 80 = 40

She sold 40 tacos.

The standard deviation of the possible outcomes is to be considered as the 10.25.

Since there is a binomial trial has a probability of success of 0.3, and 500 trials are performed.

So here

q = 1 - P

= 1 - 0.3

=0.7

Now the standard devation be like

[tex]= \sqrt{500\times 0.3 \times 0.7}[/tex]

=  10.25

hence, The standard deviation of the possible outcomes is to be considered as the 10.25.

Learn more about standard deviation here: https://brainly.com/question/15699543

Answer:

Step-by-step explanation:

We need to find the lowest number that is divisible by both 6 and 8.

So, next time is after 24 minutes and every 24 minutes after that.

Answer:

For finding next time a red line and a blue line bus will leave together we will find LCM of 6 and 8.

LCM = (6,8) = 24

Now,

Let's find add the time to LCM

[tex] \tt \: 4 : 00 + 0 : 24 = 4 : 24[/tex]

Answer:

25%

Step-by-step explanation:

16/64 = .25 x 100 = 25%

Answer:

2700

Step-by-step explanation:

i think

Answer:

X=2

DG=4

Step-by-step explanation:

Answer:

X=2

DE=4

THE ANSWER IS UPPP

Answer:

The first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.

Step-by-step explanation:

x represents the length of the first​ piece.

Hence, the second piece has a length of 2x and the third piece has a length of 3x.

Hence, x + 2x + 3x = 42 inches.

x + 2x + 3x = 42 inches

6x = 42 inches

x = 7 inches

Hence, the first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.

Hope this helped!

Answer:

24

Step-by-step explanation:

The sum of the their ages is 72. 48 divided by 2 is 24. 48 plus 24 is 72

Based on the sum of their ages and their age relationship, Nicole can be said to be 24 years.

Nicole is half as old as Donald which means that Donald is twice as old as Nicole. Assuming Nicole is aged x years, the equation would be:

Nicole age + Daniel age = 72

x + 2x = 72

Solving would give:

x + 2x = 72

3x = 72

x = 72 / 3

x = 24

In conclusion, Nicole is 24.

Find out more on age relationships at https://brainly.com/question/24859453.

Step-by-step explanation:

2.3 * (-1.2)

= -2.76.

Hence the answer is -2.76.

Answer:

[tex]\Large \boxed{\sf -2.76}[/tex]

Step-by-step explanation:

Answer:

1. shift -6 to the right side and plus with-20

2.shift 7 to other side and it will be multiply

3. 4x need to divide by 4 to get the value of x

The correct justification are 1) Add 6 on both side, 2) multiply by 7 on both side. 3) divide by 4 on both sides.

Adelle solved the equation 4x/7-6= -20 as shown. Correct justification for each step to be filled.

In mathematics simplification meaning to the  step by step solution.

Here,
4x/7 = -14             ⇒     Addition of 6 both side.
4x = -98              ⇒      Multifaction by 7 on both sides
x = -24.5             ⇒        Division by 4 on both sides

Thus, the correct justification are  1) Add 6 on both side, 2) multiply by 7 on both sides.  3) divide by 4 on both sides.  

Learn more about simplification here:
https://brainly.com/question/17579585

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Answer:

A) Option B: Paired t-test

B) The company finds "SUFFICIENT" evidence of an increase in sales, when in reality there is "A DECREASE" in sales

Step-by-step explanation:

A) Let's look at the options.

a) One sample t-test: This t-test is a statistical hypothesis test that's used to find out whether an unknown population mean has a different value from the sample mean.

b) Paired t-test: This is used to compare mean at different times from the same group.

c) Chi-squared test of independence: This test is one that is used to determine whether the associated variables are related or independent.

d) One proportion z-test: This test is used to compare an observed proportion to that of a theoretical proportion.

e) Two sample t-test: This is used to test if the unknown population mean that is gotten from two groups are equal or not.

Now, from the question, we see that A random sample of 30 branches is chosen, and the daily sales for these branches are recorded.

Later on, All the employees at these branches then undergo a customer skills training program, and shortly thereafter the daily sales at these 30 branches are again recorded.

This means that we are trying to compare the mean within the same group but at different times. This corresponds to the definition of Paired t-test.

B) A Type II error occurs when we accept a null hypothesis that is actually false.

The type II error in this case is that:

The company finds "SUFFICIENT" evidence of an increase in sales, when in reality there is "A DECREASE" in sales

[tex] {x}^{2} + 2x - 15 = 0 \\ (x + 5)(x - 3) = 0 \\ x = - 5 \\ x = 3[/tex]

Therefore the answer is D.

Answer:

Step-by-step e

-35

(Sin A/ secA) × ( sec A / cos A) = Sin A / cos A = tan A

Question should be cos A ÷ sec A

Answer:

[tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Step-by-step explanation:

Because [tex]3\, x[/tex] is found in the input to a logarithm function in the original equation, it must be true that [tex]3\, x > 0[/tex]. Therefore, [tex]x > 0[/tex].

Similarly, because [tex](x - 4)[/tex] and [tex](2\, x - 1)[/tex] are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, [tex]x > 4[/tex].

Let [tex]a[/tex] and [tex]b[/tex] represent two positive numbers (that is: [tex]a > 0[/tex] and [tex]b > 0[/tex].) The following are two properties of logarithm:

[tex]\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)[/tex].

[tex]\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)[/tex].

Apply these two properties to rewrite the original equation.

Left-hand side of this equation:

[tex]\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}[/tex]

Right-hand side of this equation:

[tex]\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)[/tex].

Equate these two expressions:

[tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex].

The natural logarithm function [tex]\ln[/tex] is one-to-one for all positive inputs. Therefore, for the equality [tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex] to hold, the two inputs to the logarithm function have to be equal and positive. That is:

[tex]\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)[/tex].

Simplify and solve this equation for [tex]x[/tex]:

[tex]x^2 - 5\, x + 2 = 0[/tex].

There are two real (but not rational) solutions to this quadratic equation: [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex] and [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex].

However, the second solution, [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex], is not suitable. The reason is that if [tex]x = \displaystyle \frac{5 - \sqrt{17}}{2}[/tex], then [tex](x - 4)[/tex], one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.

The only solution that satisfies the requirements would be [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Therefore, [tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Answer:

Step-by-step explanation:

Sum of infinite GP is:

The second term is:

Eliminate r in the system:

Compare the two equations and solve for a:

Multiply both sides by 16a:

a = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1

Answer:

Step-by-step explanation:

I think jhonnu