If you use the addition property of equality , what number would you add to both sides of the equal sign to isolate the variable

Answer:

-3x + y = -14

Step-by-step explanation:

m = 3/1 = 3

1 = 15 + b

b = -14

Y = 3x - 14

-3x + y = -14

Answer:

I think 5q+3(8-q) =36 is the answer for this question

Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.

Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:

q + r = 8

5q + 3r = 36

The first equation can be rewritten as:

q + r = 8

r = 8 - q

Using substitution into the second formula we get:

5q + 3r = 36

5q + 3(8 - q) = 36

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Answer:

x = 17.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 42 = x/23

23 cos 42 = x

17.09233 =x

Rounding to 1 decimal place

x =17.1

Answer:

66.6666666667

Step-by-step explanation:

answer is 66.6666666667

The solution of the division of 5⁻² by 8^(1/3) will be 50.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given numbers will be solved as:-

Division = ( 8 ^ (1/3) / 5⁻²

Division = 2 x5²

Division = 50

Therefore, the solution of the division of 5⁻² by 8^(1/3) will be 50.

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Answer:

3850 of those 6 person teams contain at most 3 men.

Step-by-step explanation:

The order in which the people are selected is not important, which means that the combinations formula is used to solve this question.

It drove 30.08 kilometers in an hour.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

0 men:

6 women from a set of 8. So

[tex]C_{8,6} = \frac{8!}{2!6!} = 28[/tex]

1 men:

5 women from a set of 8

1 men from a set of 7. So

[tex]C_{8,5}C_{7,1} = \frac{8!}{3!5!} \times \frac{7!}{1!6!} = 392[/tex]

2 men:

4 women from a set of 8

2 men from a set of 7. So

[tex]C_{8,4}C_{7,2} = \frac{8!}{4!4!} \times \frac{7!}{2!5!} = 1470[/tex]

3 men:

3 women from a set of 8

3 men from a set of 7. So

[tex]C_{8,3}C_{7,3} = \frac{8!}{5!3!} \times \frac{7!}{3!4!} = 1960[/tex]

How many 6 person teams contain at most 3 men?

28 + 392 + 1470 + 1960 = 3850

3850 of those 6 person teams contain at most 3 men.

Answer:

I think it is either B or C

Sorry if it is wrong

Step-by-step explanation:

Answer:

[tex]\text{(D) }\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}[/tex]

Step-by-step explanation:

We can use the Law of Sines to solve this problem. The Law of Sines works for any triangle and states that the ratio of any angle and its opposite side is maintained throughout all angles of the triangle:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

In the figure, the angle marked 110 degrees has an opposite side labelled [tex]x[/tex]. However, the angle opposite to the side marked 20 is still unknown, so let's find it.

The sum of the interior angles of a triangle is always 180 degrees. Therefore, let the third angle be [tex]\theta[/tex]. We have:

[tex]\theta + 110^{\circ}+30^{\circ}=180^{\circ},\\\theta+140^{\circ}=180^{\circ},\\\theta=40^{\circ}[/tex]

Now we have the relevant angle and we can set up the proportion:

[tex]\boxed{\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}}[/tex]

The percentage of failed students is 12%

We have,

Total number of students = 175

Number of students passed = 154

We need to calculate the percentage of the number of failed students.

The formula used to calculate the percentage is:

     [tex]\frac{ required~value}{total~value} \times 100[/tex]

Here,

Total value:

= Total number of students

= 175

Required value:

= Number of students failed

= Total number of students - Number of students passed

= 175 - 154

= 21

Percentage of failed students:

=  [tex]\frac{21}{175} \times 100\\[/tex]

= ( 21 x 100 ) / 175

= 2100 / 175

= 12 %

The percentage of failed students is 12%.

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Answer:

5 hours

Step-by-step explanation:

Answer:

first we need to find the LCM of the given numbers i.e. 8, 12, 15 and 20

2*2*2*5*3=120

Then

as 2, 3, 5 are not in pairs, we need to multiply the LCM with 2*5*3=30

so,

least perfect square number which is divisible by each of numbers 8 12 15 and 20

=120*30=3600

Step-by-step explanation:

Hello can we be friends.....

Step-by-step explanation:

Step 1:  Check to see if Connor is right

25 divided by the difference of 12 and seven

25 / (12 - 7)

Since we have a 12 and seven, that means that we have them together.  However, how Connor is presenting it, it would be 25 divided by 12 subtracted 7.  Therefore, Connor is incorrect.

Answer:

No he's not correct.

Step-by-step explanation: Let's take a step back and look at the question, he wants to represent the difference of 12 and 7 ÷ by 25. Therefore in order to do that we need to figure out the difference 12 and 7 so the equation would look like this 12-7=5  after doing that we divide 5 by 25 so it would look like this 25÷5=5.

So the correct equation is (12-5) ÷25

Hope this helps!

Answer:

-67/540

Step-by-step explanation:

I just converted - 80% to a decimal which is - 0.8 and then used a calculator for the rest.

Answer:

Odd symetry I think

Step-by-step explanation:

Sorry I'm new can you be my friend too please?

Hope this helps!:)

Have a nice day.

Keep scrolling for more....

Have a great day

You can do anything you put your mind to

^_^

:)

This is it

Answer:

6x-5 if x<5

Step-by-step explanation:

If x<5, then x-5<0.

If x-5 is negative, then |x-5)=-(x-5) or -x+5.

5x - |x - 5|

5x-(-x+5) provided x<5

5x+x-5 by distributive property

6x-5 combined liked terms

Step-by-step explanation:

what's the questions??

Answer:

A) 5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

very easy.

this simply means what is the value of x, so that the result of the function is 7.

remember, the domain is the interval of valid values for x.

and the range is the interval of valid values of y (or functional results).

so,

7 = (3x - 4)/2

14 = 3x - 4

18 = 3x

x = 6

so, for x = 6 the function delivers 7 as result.

Answer:

h² + x² = d²

Step-by-step explanation:

h and x are legs. d is the hypotenuse.

h² + x² = d²

Answer:

Step-by-step explanation:

Use pythagorean theorem to get BC = 12cm and DC = 9cm after getting BC.

Sin(ø) = opp/hyp = 9 cm/15 cm = 3/5

Answer:

[tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

r = 8 cm

Step 2: Find Volume

Answer:

sphere

Step-by-step explanation:

volume of a sphere = 4/3πr³

= 4/3*22/7 * 8³

= 2145.5

Answer:

that description would produce a negative slope..

see image

Step-by-step explanation:

Answer:

Les deux nombres doivent avoir une différence de 3. Algébriquement, ce serait x + (x + 3) = 129. 2x est alors égal à 126. X est égal à 63 et x + 3 est à 66. Ces nombres sont des multiples consécutifs de 3 dont la somme est de 129.

Step-by-step explanation:

The two numbers must have a difference of 3. Algebraically, it would be x + (x + 3) = 129. 2x then is equal to 126. X equals 63 and x + 3 is 66. These numbers are consecutive multiples of 3 whose sum is 129.

Answer:

tan0= UR/RX

tan6°=8/RX

⇒RX=8/tan6

⇒ RX=8/0.1051

⇒RX≈76.11

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

Hope it helps...

tan0= UR/RX

tan6°=8/RX

Hope it is helpful to you ☺️

Answer:

Step-by-step explanation:

first option duhh

Answer:

0.017741

Step-by-step explanation:

Answer:

A. Function

B. Not a function

C. function

Answer:

D

Step-by-step explanation:

Since ∠ RPQ = ∠ SPQ = 60° , then

PQ bisects ∠ RPS and is an angle bisector

PQ exists the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.

Angle bisector in geometry directs to a line that divides an angle into two equivalent angles. A bisector represents the thing that bisects a shape or an object into two equivalent regions. If we draw a ray that bisects an angle into two equivalent parts of the exact measurement, then it exists named an angle bisector.

It is given that ray PQ is the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.

[tex]$m \angle R P Q=m \angle QP S=60^{\circ}$[/tex]

Now, [tex]&m \angle R P S=m \angle R P Q+m \angle Q P S \\[/tex]

[tex]&m \angle R P S=60^{\circ}+60^{\circ} \\[/tex]

[tex]&m \angle R P S=120^{\circ}[/tex]

Therefore, the measure of angle RPS is [tex]$60^{\circ}$[/tex].

Therefore, the correct answer is option D. angle bisector.

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