A. using substitution find the value of the remaining unknown in each of the following formulas.

1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3

Answers

Answer 1

Answer:

Substitution means that we need to replace some of the variables by the given values.

1)  t = rs*(s + 1)      (if r=4 and s=5)

So we just need to replace r by 4 and s by 5 in the equation.

t = 4*5*(5 + 1) = 20*6 = 120

t = 120

2)  k = 6 - 5q/2g     (if q=3 and g=8)

We need to replace q by 3, and g by 8.

k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167

k = 5.167

3) p = a + b - 2c   (if a = 2, b = -1, c = 5)

Replacing the variables we get:

p = 2 + (-1) - 2*(5)

p = 2 - 1 - 10 = -9

p = -9

4) I = 1/x - 2/y + z   (if x = 4, y = 6, and z = 2/3)

Replacing the variables we get:

I = 1/(4) - 2/(6) + (2/3)

I = 1/4 - 2/6 + 2/3 =  1/4 - 1/3 + 2/3

I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12

I = 7/12 = 0.583


Related Questions

Find the value of x ​

Answers

Answer:

hello

Step-by-step explanation:

4x+3x+2x=180⁰

9x=180⁰

x=20

hope it helps

have a nice day

Answer:

x= 20

Step-by-step explanation:

4x+3x+2x=180

9x=180

x=180/9

so

2 minutes is how many seconds

Answers

120 seconds
1 min = 60 seconds

Answer:

120

Step-by-step explanation:

2*60 = 120

Find the measures of all the interior angles of the non-convex figure below.

Answers

Answer:

angle 3x = 78°

angle opposite (4x + 30) = 226°

Step-by-step explanation:

It has 6 sides, so:

total interior angles sum = (180° x 6) - 360° = 720°

720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°

combine like terms:

720° = 3x + 416° + (360° - 4x - 30°)

720° = -x + 746°

x = 26°

Help!
This is the problem


1+10k+1-7k

Answers

Answer:

3002

Step-by-step explanation:

Very simple, just add them up.

Which of the quadratic equations below has solutions of x = 8 and x = -2?

F. x2 + 6x = 16

G. x2 + 6x = -16

H. x2 – 6x = 16

J. x2 – 6x = -16

Answers

svdsgehrkrjfndhrhHjsbjdjddhrhdjhxhrjd

Find the measure of each angle

Answers

Answer:

angle O = 36 degrees

angle N = 54 degrees

Step-by-step explanation:

90 degrees = angle O and N

2a + 18 + 5a + 9 = 90

7a + 27 = 90

7a = 63

a = 9

2(9) + 18 = 36 degrees

5(9) + 9 = 54 degrees

Need help ASAP I will mark Brainlyist

Answers

1. You answered
2. 7
3. 10
4.
5. 48
6. 145
7. 68
8. 148
9. 102
10.

Find the sum of 3/4 and 5/10 pls

Answers

Answer:

Is it 1.25

I hope the helps!

Answer:

5/4 or decimal- 1.25

Step-by-step explanation:

3/4+5/10

=3/4+5/10

=3/4+1/2

=3/4+2/4

=3+2/4

=5/4

The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:

Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5

In which step did the student first make an error and what is the correct step?

Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y

Answers

Step 2 9y - 24 = 10 + 3y because 3 times 3y its not 6y nor is 3 times 8 equal to 5

Factor 16a + 10.
(Please help)

Answers

Answer:

2(8a+5)

Step-by-step explanation:

To factor means to find a number that can divide all the terms in the expression and leave whole number quotients. The factor is written outside the bracket while the quotients are written inside the bracket. In the question, 2 can divide both 16a and 10 giving 8a and 5. This is how the answer was obtained.

16a+10
= 2(8a+5)
hope it helps

Can anyone know the answer please

Answers

Omggg this is so hard but guess 3x4,60

Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!

Answers

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

2^2+6^2=x^2

4+36=x^2

40=x^2

[tex]\sqrt{40}=x[/tex]

[tex]2\sqrt{10}[/tex][tex]=x\\[/tex]

Hope that helps :)

Answer:

sqrt(40) or approx. 6.324555

Step-by-step explanation:

a^2 + b^2 = c^2 (Pythagorean Theorem)

6 is a, 2 is b, and x is c, or the hypotenuse.

Plug in the values

6^2 + 2^2 = x^2

Simplify

36 + 4 = x^2

40 = x^2

Square root both sides

sqrt(40) = x

Escribe 2 ejemplos de enunciados que establezcan una regla de correspondencia que represente una función y
represéntala con un diagrama de flechas.

Answers

Answer:

Correspondencia entre conjuntos:

a) Inyectiva: es cuando a cada imagen en el conjunto de llegada le corresponde un único origen, es decir, a distintos elementos del conjunto inicial, les corresponden distintos elementos del conjunto final.

b) Sobreyectiva: es si todos los elementos del conjunto final tienen al menos una correspondencia del conjunto inicial

c) Biyectiva: es cuando la correspondencia es inyectiva y sobre inyectiva a la vez

Correspondencia unívoca : es una correspondencia donde cada elemento del conjunto origen se corresponde con solo un elemento del conjunto de llegada.

Correspondencia biunívoca  es cuando a cada elemento del conjunto origen se corresponde con solo un elemento del conjunto llegada, y viceversa

Step-by-step explanation:

Help me out
Answer required ​

Answers

Answer:

a. rational

b. irrational

c. irrational

d. rational

e. rational

f. rational

plz mark me as brainliest

SOLUTION -;

[tex] 1)\displaystyle{} \: \sqrt{4} = \sqrt{2 \times 2} = \sqrt{2} \\ \: \: \: \bold{irrational \: number}[/tex]

[tex]2) \displaystyle{} \: \sqrt{3} = \bold{irrational \: number}[/tex]

[tex] \sqrt{7} \: \: = \bold{irrational \: number}[/tex]

[tex] 3) \: \: \displaystyle \frac{3}{5} \bold{irrational \: number}[/tex]

[tex] \displaystyle \: \frac{3}{5} \: \bold{rational \: number}[/tex]

[tex] \displaystyle{}\frac{1}{4} \bold{rational \: number}[/tex]

[tex] \displaystyle{} \: - 2.57 \: \bold{rational \: number}[/tex]

Note - if digit have root ( radical sign ) so number is irrational but digit have do not radical sign so number is rational.

who is involved in the stimulus check please help me i really need help please

Answers

Answer:

Go on the IRS website and fill out the form.... this is what heard beetween a conversion with my brother and dad

Step-by-step explanation:

Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?

Answers

Answer:

[tex]165 + 12c = 465[/tex]

Is the right answer

Answer:$25 per chair

Step-by-step explanation:

It’s $165 for only the table. Minus that from the $465 and you get $300. Do $300 divided by 12(amount of chairs) And you get $25. It’s $25 per 1 chair.

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

The dot isn’t shaded so > or <

From -55, it’s showing small than

From -49, it’s showing greater than

x < -55 or x > -49

Answer:  x < -55 or x > -49

Step-by-step explanation:

x < -55 or x > -49

They both start with an opened circle, and also these two opened circle dots do not connect to each other. On the left side, the number is going from -55 to the smaller side, -57 or less, so we can say that x is smaller than -55. On the right side, the number goes from -49 to the bigger number, we can say that x is greater than -49.

Help pls i'm lost i really need help

Answers

-17, +20, -5, +14, 100, -17, +10, -9, -8, +11

Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.

Answers

Answer:

35+70=105, 180-105=75 so the answer is c 75°

Step-by-step explanation:

100% of 80 is what number?
Select one:

160

80

8

100

Answers

Answer:

80

explanation:

100% means that its the whole of something so all of the said number

Answer:

In converting to percentage we multiply by 100%

100% of 80 =

80/100 x 100%

0.8 x 100 = 80

NB the 100% of any number is the number itself

A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teacher schedule in a night?

Answers

Answer:

3 lessons

Step-by-step explanation:

available hours: 4 hrs 30 min

time per lesson: 1 hr 30 min

2 lessons is 3 hrs

which leaves even time for one more lesson after 2 lessons

So, she can schedule 3 lessons in 4 hrs in 30 min

In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?

Answers

The answer would be 12

60/5 = 12

Answer:

12

Step-by-step explanation:

What is the area of the rectangle below?
9 feet
7 feet

Answers

Answer:

63 feet ^2

Step-by-step explanation:

Well assuming your presented with length and width.

9*7=63

Jesse has a 13.47-ounce bar of gold. He cuts 1.55 ounces off to make a piece of jewelry. How much gold is left in the bar?

Answers

Answer:

11.92 Ounces.

In 2010, the number of clown costumes sold at a single costume shop was 15. By 2015, that number had grown to 30. Assuming a constant increase in clown costume sales, calculate the unit rate of change (slope) from 2010 to 2015.
what's the answer please

Answers

Answer:

2009

Step-by-step explanation:

because 30434+3439438=34343434837 so that means its 2009

will mark brianliest please help

Answers

Answer:

See below.

Step-by-step explanation:

7x^2 = 343                     Divide both sides by 7

7x^2/7 = 343/7

x^2 = 49                         Take the square root of both sides.

sqrt(x^2) = sqrt(49)

x = +/- 7

Answers

7- 7sqrt(49)- sqrt(49)

I think the last two are kind of iffy. I'm not sure you can call them solutions, but the question probably assumes they are. If you use all four answers and get it wrong, them submit +7 and - 7.  

a pack of candy bars has 6 bars. Each bar weighs 3.86 ounces. How much does the pack weigh?

Answers

Answer:

23.16 punces

Step-by-step explanation:

6x3.86=23.16

Answer: 23.16 ounces

Step-by-step explanation:

If there are 6 candy bars that each weigh 3.86 ounces, you need to add up all of the weights to find the total pack weight. 6*3.86=23.16

*If by any chance you need your answer to be in pounds, divide the answer by 16 (16 ounces in a pound). 23.16/16= 1.45 pounds

HELP! LOOK AT THE PHOTO

Answers

Answer:

The answer to the question provided is 30.

Step-by-step explanation:

[tex]5x - 80 + 2x + 50 = 180 \\ 7x - 30 = 180 \\ \frac{ \: \: \: \: \: \: + 30 = + 30}{ \frac{7x}{7} = \frac{210}{7} } \\ x = 30[/tex]

[I apologize if the answer to the question is inaccurate]

Answer: 30

Step-by-step explanation:

Find q. q/32=6 q=? Help

Answers

Answer:

q=0

Step-by-step explanation:

Hope this helped!!

the answer is 192

Step-by-step explanation:

q/32 = 6

q = 192

Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?

Answers

Answer: 4 months

Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.

Answer: 4months

Step-by-step explanation:

Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.

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