The temperature in the morning was−8 °F. The temperature dropped 13 degrees by night. What is the temperature at night?

Answer:

[tex] P= 6 \frac{1}{7}\\\\

Q = 4 \frac{2}{7}[/tex]

Step-by-step Explanation

[tex] \frac{5 + 3 \sqrt{2} }{5 - 3 \sqrt{2} } = P+Q\sqrt 2 \\ \\ \frac{(5 + 3 \sqrt{2}) }{(5 - 3 \sqrt{2}) } \times \frac{(5 + 3 \sqrt{2}) }{(5 + 3 \sqrt{2} )} = P+Q\sqrt 2 \\ \\ \frac{ {(5 + 3 \sqrt{2} )}^{2} }{ {(5)}^{2} - (3 \sqrt{2})^{2} } = P+Q\sqrt 2 \\ \\ \frac{ {5}^{2} + {(3 \sqrt{2} )^{2} + 2.5.3 \sqrt{2} } }{25 - 9 \times 2} = P+Q\sqrt 2 \\ \\\frac{ 25 + 18 + 30 \sqrt{2} }{25 - 18} = P+Q\sqrt 2 \\ \\\frac{ 43 + 30 \sqrt{2} }{7} = P+Q\sqrt 2 \\ \\ \frac{43}{7} + \frac{30 }{7} \sqrt{2} = P+Q\sqrt 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ P = \frac{43}{7} \\ \\ \huge \red { \boxed{ P= 6 \frac{1}{7}}} \\ \\ Q = \frac{30}{7} \\ \\ \huge \orange { \boxed{ Q = 4 \frac{2}{7} }}[/tex]

Answer:

The second one

Step-by-step explanation:

The second one because if you compare 12+6=18 to 14 the better buy is the second one because 14 is less than 18

Given that,

No of cups of Apple juice = 10

No of cups of Orange juice = 16

Solution,

The ratio of Apple juice to the Orange juice will be :

[tex]R=\dfrac{10}{16}[/tex] ....(1)

For equivalent fraction, multiply both numerator and denominator by 2 such that,

[tex]R=\dfrac{10\times 2}{16\times 2}\\\\=\dfrac{20}{32}[/tex]

Dividing both numerator and denominator 2 such that,

[tex]R=\dfrac{10/2}{16/2}\\\\=\dfrac{5}{8}[/tex]

So, the required ratio is 5/8.

Answer:

15 nickels, 6 quarters, and 12 dimes.

Step-by-step explanation: i hoped it helped ;)

Answer:

3/8

Step-by-step explanation:

Answer:

C: 3/8

Step-by-step explanation:

edg2021

There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8

[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100

or -0.01

there are two answers you can come up with choose wisely

Step-by-step explanation:

x-3/4=5 1/6

(4x-3)/4=31/6

(4x-3)/2=31/3

12x-9=62

12x=71

X=71/12

Answer:

30 adult tickets and 24 kid tickets

Step-by-step explanation:

set up equations

x=adult tickets

y=kid tickets

x(adult tickets)+y(kid tickets)=54(people in total)

x+y=54

$8x+$5y=$360

$8 per ticket for adults

$5 per ticket for kids

total of $360 earned

8x+5y=360

↓

x+y=54

8x+5y=360

solve by elimination or substitution or even graph to get

(x,y)=(30,24)

x=30

y=24

Answer: 1,2,5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.

X^2+10x+25 =8

Answer shown in figures below

Answer:

$221.1

Step-by-step explanation:

Divide 73.70 by 5 pounds so that you can get the price of 1 pound beef

After diving the price for one pound of beef is $14.74.

Now, you have the price of 1 pound beef, you can just multiply it with 15 pounds.

15 x 14.74 = 221.1

Answer:

$221.1

Step-by-step explanation:

you multiplie it buy 5

Answer:

zero slope

Step-by-step explanation:

its not goin up or down so there is no slope:)

also look below :)

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by :

[tex]C=2\pi r[/tex] ...(1)

We need to find the value of r when C = 16π

Solving equation (1)

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]

So, the value of r is 8. Hence, the correct option is (b).

Answer:

22 dimes, 8 Nickels

Step-by-step explanation:

Answer:

the total mass is 212.5 kg

Step-by-step explanation:

The computation of the total mass is as follows;

Given that

Number of family members = 5

And, the average mass is 42.5 kg

Now based on the above information

The total mass is

= Number of family members × average mass

= 5 × 42.5 kg

= 212.5 kg

Hence, the total mass is 212.5 kg

Answer:

x ≤ 2

Step-by-step explanation:

If you referencing ">=" as greater than or equal to, follow the solution below:

Solve:

3x - 6 + 2 ≥ 5x - 8

Combine like terms.

3x - 4 ≥ 5x - 8

Subtract 5x from both sides.

-2x - 4 ≥ -8

Add 4 to both sides.

-2x ≥ -4

Divide both sides by -2, while flipping the inequality as well since you're dividing by a negative number.

x ≤ 2

Your answer would be x ≤ 2

Answer:

Hi friend,

Let 3+2√3 is a rational number.

A rational number can be written in the form of p/q.

3+2√3=p/q

√3=p/2q-3

√3=p-6q/2q

p,q are integers then (p-6q)/2q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our statement supposed is false.

Therefore,3+2√3 is an irrational number.

Step-by-step explanation:

Answer:

in the explanation

Step-by-step explanation:

The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).

Hope this helps!

Answer:

24

Step-by-step explanation:

Can i have brainliest

Answer:

6 adults

Step-by-step explanation:

72/24= 3 and 3*2=6 adults

Answer:

there are 6 adults

Step-by-step explanation:

24x3=72

2x3=6

Have a great day!

Answer:

a. 19 b. -53

Step-by-step explanation:

I did it mentally, but you plug those x values into the equation.

Answer:

they have two congruent angles or AA

Step-by-step explanation:

Answer:

they have two congruent angles or AA

Step-by-step explanation:

Answer:

Step-by-step explanation:

12x^2y / 4xy = 3x

So 4xy is the highest common factor.

Answer:

4x2y

Step-by-step explanation:

4xy = 4x4y

12x ÷ 4 = 3x

2y ÷ 2 = 1y

Hope this helps !

Merry Christmas

Answer:

x = 1

$990

Step-by-step explanation:

First you want to write the linear equations for both scenarios

in the first scenario hotel:

y = 86x + 904 where x = # of people, y = total cost

in the second scenario restaurant:

y= 89x + 901

now you want to set them equal to each other since you want to know how many people (x) will be needed to make total costs equal.

86x + 904 = 89x + 901

subtract 86x on both sides to move all x terms on the right

904 = 3x + 901

subtract 901 on both sides to move numbers to the left

3 = 3x

divide both sides by 3

1 = x or x=1

So it would take 1 attendee.

Now plug in x=1 into either equation to find the total cost that is the same.

y = 86(1) + 904

= 86 + 904

= $990

please give thanks by clicking heart :)

Answer:

x=2

Step-by-step explanation:

Answer:

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Answer:

[tex]x = - 1 \\ y = - 5 \\ m = - 6 \\ z = 3 \\ q = 0 \\ n = - 2 \\ w = - 1 \\ k = - 2[/tex]

Step-by-step explanation:

I just showed my work process in the pictures.