Mr.Alfonso is replacing the tile along the edge of his kitchen counter. The edge piece is 1/2 ft . long and 2 1/2 ft. wide . what is the area,in square feet,of the edge piece​

Answer:

Let x be the number of 3-point questions.

Let y be the number of 5 point questions.

Answer:

P4200

Step-by-step explanation:

SI=PRT/100

P=Principal which is P10500

R=Rate which is 20%

T=Time which is 2 years

So SI= 10500×20×2/100

=P4200

Answer:

729

Step-by-step explanation:

The number is 8.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

Answer:

2x+y+2=0

Step-by-step explanation:

I from Mexico:)

Answer:

so 3 percent of 92 percent which is 2.76 percent

Answer:

Step-by-step explanation:

Answer:

use photo math lol

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

(3x-4(2)+9)=x-3

3x+1=x-3

2x+1=3

2x=2

x=1

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean [tex]\mu _{\hat p} = p = 0.39[/tex]

The standard deviation;

[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }[/tex]

[tex]\sigma = 0.048[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]

[tex]Z = \dfrac{0.3 - 0.39 }{0.0488}[/tex]

[tex]Z = -1. 8 4[/tex]

From the z - tables;

[tex]P (\hat p \le 0.3 ) = P(z \le -1.84)[/tex]

[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0329}[/tex]

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean [tex]\mu_{\hat p} = p = 0.39[/tex]

the standard deviation [tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }[/tex]

[tex]\sigma_{\hat p} =0.0244[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]

[tex]Z = \dfrac{0.3 - 0.39 }{0.0244}[/tex]

[tex]Z = -3.69[/tex]

From the z - tables;

[tex]P (\hat p \le 0.3 ) = P(z \le -3.69)[/tex]

[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0001}[/tex]

(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion  that is less than 30% also decreases.

Answer:

only 1 is the factor as 11 is a prime number

Answer:

Option D is correct

28.5=28.5

Answer:

4-3-2

-1

Step-by-step explanation:

Answer:

yeaa

Step-by-step explanation:

Answer:

First i always use khan academy

Step-by-step explanation:

Answer:

n-5

Step-by-step explanation:

Answer:

183.41

Step-by-step explanation:

pay 251.57

16% 40.25

3.64 9.16

6.2 15.60

1.45 3.65

I hope this is right

Answer:

x = 20

Step-by-step explanation:

Each side would be 60. 60/3 would be 20. So x = 20

Answer:

x = 20

Step-by-step explanation:

Looking at the image you've posted here. We can see this triangle is equilateral. That also means 3x is 60°, as are the other two angles. All you really have to do is dividing both sides of the equation by 3 to get x to equal 20.

Answer: 13 1/3

Step-by-step explanation:

Answer:

5.356

Step-by-step explanation:

You add everything in parentheses then subtract that by 0.08.

Answer:

a:c=2.5:1.25

Step-by-step explanation:

2a:3b=5:6

2(2.5):3(2)=5:6

3(2):2(1.25)=6:2.5=36:15

Answer:

y=3

Step-by-step explanation:

x=-3y+3

(-3y+3)-3y=-15

-6y=-18

y=3

Answer:

She had 14 prescriptions for tranquilizers.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of prescriptions she had for antibiotics.

y is the number of prescriptions she had for tranquilizers.

A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.

This means that:

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

[tex]x = \frac{3y}{2}[/tex]

She had 35 prescriptions altogether.

This means that:

[tex]x + y = 35[/tex]

How many did she have for tranquilizers?

We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.

[tex]x + y = 35[/tex]

[tex]\frac{3y}{2} + y = 35[/tex]

Multiplying everything by 2

[tex]3y + 2y = 70[/tex]

[tex]5y = 70[/tex]

[tex]y = \frac{70}{5}[/tex]

[tex]y = 14[/tex]

She had 14 prescriptions for tranquilizers.

Answer:

38.71°C

Step-by-step explanation:

Given :

Initial temp, T0 = 20°C

Final temperature, T = 20 + 10 = 30°C

Time, t = 9 seconds

Surrounding temperature, Ts = 100°C

Newton's Law of cooling :

T = Ts + (T0 - Ts) * e^-kt

Obtain the value of k

30 = 100 + (20 - 100) * e^-9k

30 - 100 = - 80e^-9k

-70 = - 80e^-9k

-70 / - 80 = e^-9k

0.875 = e^-9k

Take the In of both sides

In(0.875) = - 9k

−0.133531 = - 9k

k = 0.133531 / 9

k = 0.0148

Hence,

t = 18

T = Ts + (T0 - Ts) * e^-kt

T = 100 + (20 - 100) * e^-0.0148(18)

T = 100 - 80 * e^-0.0148(18)

T = 100 - 80 * 0.7661326

T = 38.709392

T = 38.71°C

Answer:

In an equilateral triangle, all the sides and angles are of equal length. In an isosceles triangle, 2 of the sides are equal

Step-by-step explanation:

Hey there!

They are both correct, and their expressions are equivalent.'

9(S + T) + 45 = 9S + 9T + 45

Have a terrificly amazing day!