The difference between the record high and low temperatures in Charlotte, NC, is 109℉. The record low temperature was −5℉. What was the record high temperature?

Answer:

Step-by-step explanation:

First we need to factorize the given area of the rectangle as shown;

Given

A(x) = x^2-10x+16

Factorize

A(x) = x²-8x-2x+16

A(x) = (x²-8x)-(2x+16)

A(x) = x(x-8)-2(x-8)

A(x) = (x-2)(x-8)

Since area of a rectangle = length ×width

Hence the binomial that represents the width of the pool is w(x) = x-2

b) If the width of the deck is 17feet

Width = x-2

17 = x-2

x = 17+2

x = 19feet

Get the length

Length = x-8

Length = 19-8

Length = 11

Get the perimeter

P = 2(L+W)

P = 2(17+11)

P =2(28)

P = 56feet

Perimeter of the deck is 56feet

Answer: 2.9 minutes.

Step-by-step explanation:

Given: Rate of filing the tank =  12 gallons per minute

Total volume of reservoir = 35 gallons

Time taken to fill the reservoir = [tex]\dfrac{\text{Total volume of reservoir }}{\text{Rate of filing the tank}}[/tex]

[tex]=\dfrac{35}{12}\approx2.9[/tex]

hence, time taken to fill the reservoir = 2.9 minutes.

The general form is nthroot{a} in index form looks like this: a^(1/n).

Let's rationalize the denominator first.

Doing so, we get (1/2)sqrt{2}.

In index form, the sqrt{2} = 2^(1/2).

We now have (1/2)[2^(1/2)].

Is this clear?

Answer:

About $1.82

Step-by-step explanation:

Answer:

58.333333 percent

Step-by-step explanation:

58 percent

I took 42 divided by 72 times 100

Answer:

EKH and FKG

Step-by-step Explanation:

you could choose any sets with a common vertex. i just chose those two

Answer:

x=3

Step-by-step explanation:

The triangle has angles 30,60,90

In this type of right triangle, the ratio of the sides is 1:square root of 3:2

In this type of triangle, the square root of 3 is equal to the 1 in the ratio above because it is across from the angle 30

With this, we multiply the ratio at the top by the square root of 3

since x is across the angle 60, we multiply square root of 3 by the square root of 3 which equals 3.

I hope this makes sense

Answer:

La porción de la casa que le corresponde pintar a Alan es [tex]\frac{13}{72}[/tex]

Step-by-step explanation:

Sabes que Alejandro pinta 3/8 de la casa durante el primer día, mientras que Alberto pinta 4/9 de la casa durante el segundo día. Entonces, la porción pintada de la casa durante esos dos días es la suma entre la porción pintada por Alejandro y la porción pintada por Alberto:

[tex]\frac{3}{8} +\frac{4}{9}[/tex]

Un método para sumar fracciones con distinto denominador consiste en buscar el común denominador de las fracciones que se van a sumar. Para ello se multiplica los denominadores de las fracciones: 8*9= 72. El común denominador se divide entre el denominador de la primera fracción.   El resultado de la división se multiplica por el numerador de la misma fracción. Una vez que se divide y se multiplica, el resultado se coloca en el numerador con el signo correspondiente. Se realiza el mismo procedimiento con la otra fracción y se realiza la suma con los numeradores resultantes.

Entonces, en este caso se obtiene:

[tex]\frac{3}{8} +\frac{4}{9}=\frac{27+32}{72} =\frac{59}{72}[/tex]

Entonces, para calcular la porción de la casa que le corresponde pintar a Alan, y considerando que 1 representa un entero, la totalidad de la casa que se desea pintar, se realiza la resta entre la totalidad de la fachada a pintar y la porción pintada por Alejandro y Alberto:

[tex]1-\frac{59}{72}[/tex]

Considerando que el procedimiento de la resta es similar a la suma, se obtiene:

[tex]1-\frac{59}{72}=\frac{72-59}{72} =\frac{13}{72}[/tex]

La porción de la casa que le corresponde pintar a Alan es [tex]\frac{13}{72}[/tex]

Answer:

x = -4 3/5 or -4.6

Step-by-step explanation:

(x+4)/-5 = 3

Divide -5 from both sides

x + 4 = -3/5

Subtract 4 from both sides

x = -4 3/5

Answer:

y=x+3

Step-by-step explanation:

The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:

y=x is possible if the value of k is 1, provided that both y and x are of the same value.

y/2=x is possible because y=2x, provided that 2 is the value of k.

y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.

Answer:

r= -40/9 or r=-4 4/9

Step-by-step explanation:

You're welcome :)

Answer:

%20

Step-by-step explanation:

formula:  %/100  x   part/whole  

%/100 x 13/65 =    1300/65 = 20

Answer:

Option D

Step-by-step explanation:

As, 15/10 = 3/2

And also 21/14 = 3/2

They are equal!

Answer:

D

Step-by-step explanation:

i got it right

Answer:

The answer is 84.82 in^3

Step-by-step explanation:

Answer:x = 12,5

using thales's theorem, we have:

[tex]\frac{15}{15+36}=\frac{20}{6x-7}\\\\<=> 6x-7=\frac{20.(15+36)}{15}=68\\\\<=>x = \frac{68+7}{6}=12.5[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

you can't get the answer if you don't know x

Answer:

Part A

1. Celsius

2. 100 C

3. 273.15 Kelvin.

4. 273, formula: °C + 273.15 = K.

5.  -273 celsius

6. Farenheit

Part B:

7. True

8. False, you add not subtract.

9. False, it's 373.1 K

10. True

Answer:

How do I keep falling for this trick!???

Awwwwwwwwwwww tyyyyy <3

Answer:

The correct answer should be 11[tex]\frac{1\\}{4}[/tex]

Step-by-step explanation:

Let me know if this is wrong and I will correct it if it is.

Answer:

So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-a-b²+3ab

-(-1)-5²+3(-1×5)

+1-25-3+25

-24-3+15

-27+15

=-12

Answer: 56.64%

Step-by-step explanation:

Given: Previous amount of flour = 2.26 kilograms

By the end of the baking session, amount of flour = 0.98 kilograms

Decrease in amount = 2.26-0.98 = 1.28  kilograms

Percent decrese = [tex]\dfrac{\text{decrease in amount }}{\text{previous amount}}\times100[/tex]

[tex]=\dfrac{1.28}{2.26}\times100\approx56.64\%[/tex]

Hence, the percent decrease in the amount of flour = 56.64%

Answer:

Length of the rectangular closet = 4 feet

Step-by-step explanation:

Area of his bedroom = 80 square feet.

The area of his bedroom = 10 times that of his rectangular closet.

Let x = area of his rectangular closet.

80 = 10 * x

80 = 10x

x = 80/10

= 8

x = 8 square feet

If the closet is 2 feet wide, what is its length?

Area of the rectangular closet = length × width

Let y = Length of the rectangular closet

8 Square feet = y feet × 2 feet

8 = 2y

y = 8/2

= 4

y = 4 feet

Length of the rectangular closet = 4 feet

Answer: Yes, No

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

To do this, you need to find the amount of discount of the original price. To find a percent of a number you first convert the percent to a decimal (i.e. 25% = 0.25). Then you multiply this decimal by the original price. Therefore, the sale price is $17.21. If example.

Step-by-step explanation:

Answer:

102.144

Step-by-step explanation:

128 times 0.25 = 32

128 - 32 = 96

96 times 1.064 = 102.144

She will need to pay 102.144

Answer:

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE100016784994

Step-by-step explanation:

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer:

$595 dollars in a week

Step-by-step explanation:

We know that Mae Ling earns $390 per week plus sales commissions of 5.0%, if we express this would be: (x refers to sales)

So, it would be:

Answer:

200

Step-by-step explanation: