Mathematics College

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

Write 9.26 a.m in a 24-hour time format

Answers

Answer:

09:26

Step-by-step explanation:

Complete the square to find
the vertex of this parabola.
x2 - 6x – y + 17 = 0
([?], [])

Answers

Don’t click the link it’s a scam

Answer:

(3,8)

Step-by-step explanation:

;)

(9m + 10) x2

please solve this if u do u get 30 points

Answers

Answer:

18m+20

Step-by-step explanation:

Hope this helps ya

Need Help ASAP : Math Question : Professional football field is 160 feet wide. What's the width of the field in yards?

Answers

Answer:

53.3333

Step-by-step explanation:

I took 160 feet and converted it to yards

I need help answering this question above! Nobody is answering it

Answers

Answer:

(54, 27)

Step-by-step explanation:

2y will represent the larger number.

2y + y = 81

3y = 81

y = 27

x = 2y

x = 2(27)

x = 54

x = 54

y = 27

(54, 27)

What is the equation relating x and
y together?
X
1
2
3
4
5
-9
-8
-7
-6
-5
y=X-[ ?]

Answers

Answer:

If y=x-?, it'd have to be something like y=X-(1-10) etc.

Step-by-step explanation:

I don't think you're giving us enough, but that should be what it is, try to associate that with the full problem or format.

A= 1/2bh pls help I don’t remember how to do this

Answers

i think it’s the triangle

Answer:

It would be D.

Step-by-step explanation:

This formula, A=1/2 bh, 1/2 base multiplied by height, is used to find the area of a triangle, therefore, D is the only viable answer.  

For brainliest and 100 points and no files or you will be reported and just to get points.

Rearrange the equation so u is the independent variable.

-12u+13=8w-3

w=

Answers

Answer:

w=-[tex]\frac{3u}{2}[/tex]+2

Step-by-step explanation:

Answer:

w = -1.5u + 2

or

w = -3/2u + 2

Step-by-step explanation:

Your goal is to isolate w

-12u + 13 = 8w - 3

      +3             +3

-12u + 16 = 8w

 /8      /8    /8

-1.5u + 2 = w

w = -1.5u + 2

or

w = -3/2u + 2

What is the measure of AZB

Answers

Answer:

129 degrees

Step-by-step explanation:

When we add a right angle (90 degrees) to an acute 39 degree angle we get 129 degrees.

azb = 129 degrees

which of the following is a polynomial?

Answers

Answer:

D.

Step by step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)

Hope this helps!

A standard-size volleyball court has an area of 1,800 square feet. The length of the court is 60 feet. What is the width of the court?

Answers

Answer:

The width of the  court is 30 feet.

Step-by-step explanation:

1800 = 60 x width

width = 1800/60 = 30


John invests $15,000 in a savings account that pays 2.5% simple interest. If John makes no
withdrawals or deposits into the account, how much will be in the account after 9 years?

Answers

Answer:

18,375

Step-by-step explanation:

The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each

Answers

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

Make two equations
O = orange, A = allele
(12O + 7A = 5.36) 2
(8O + 5A = 3.68) 3
Make one of them same coefficient
24O + 14A = 10.72
24O + 15A = 11.04
Subtract both equations
-1A = -0.32
A = 0.32
24O + 14(0.32) = 10.72
24O + 4.48 = 10.72
24O = 6.24, O = 0.26
Solution:
One apple = $0.32
One orange = $0.26

Help me answer these

Answers

Step-by-step explanation:

y=-2X2 -2X +4

Answer: I answered it it's C

it’s C but you can use Photomath

The diagram shows a rectangle and a diagonal of the rectangle. Length=8.5cm. Width=5.6cm. Work out the length of the diagonal of the rectangle. Give your answer correct to 1 decimal place

Answers

Answer:

10.2cm

Step-by-step explanation:

Diagonal= √8.5^2 + 5.6^2

=10.2cm

Help with this question, please

Answers

Answer:

I'm pretty sure 32 but I could be wrong

Step-by-step explanation:

I'm sorry if it's wrong

How many people ordered beer?

*it is not 15

Answers

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

Help please question in the picture

Answers

The correct answer is A.

The area of the square with a side length of 19 meters is 361 square meters.

To determine the area of a square, you multiply the length of one side by itself.

In this case, the side length is given as 19 meters.

To calculate the area of a square, you can use the formula:

Area = side length × side length

Area = 19 meters × 19 meters

Area = 361 square meters

So, the area of the square with a side length of 19 meters is 361 square meters.

For such more questions on area

https://brainly.com/question/25292087

#SPJ8

The ratio of girls to boys in a grade is 6 to 5. If there are 24 girls in the grade, how many students are there altogether?

Answers

Answer:

44

Step-by-step explanation:

24/4=6

5x4 = 20

20+24=44

find the value of x

HELP pls .

Answers

Answer:

31°

Step-by-step explanation:

The total triangle is 180°

Subtract 180-(33+116)

4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?

Answers

M >= 85. The >= sign means greater than or equal to.

6×squared plus 15×plus 4×​

Answers

Answer:

56

Step-by-step explanation:

6^2 = 36

36 + 15 = 51

51 + 4 = 56

Solve for the value of a.

Answers

Answer:

7 will be the answer.

Step-by-step explanation:

The angles are complementary angles i.e their sum is 90°.

(5a+3)°+52°=90°

5a+55°=90°

5a=90°-55°

5a=35°

a=35°/5

a=7

Maria is 4 ft 2in tall. To find the height of a flagpole, she measured her shadow and the pole's shadow . What is the height h of the flagpole?

Answers

Answer:

25 ft

Step-by-step explanation:

The height of the flagpole, using trigonometric ratio is 25feet.

The tangent of angle C will be the ratio of Maria's height to her shadow.

What is the tangent of an angle?

The tangent of an angle is the ratio of opposite side to the adjacent side.

It is given that,

Her height = 4 ft 2 inch = 25/6 feet

Length of her shadow =10/3 feet

So, tan C = (25/6)/(10/3)

tan C = 5/4

We know that ∠C and  ∠T will be equal

So, tan C = tan T = h/20

5/4 = h/20

h =25

Therefore, The height of the flagpole, using is 25feet.

To get more about trigonometric ratios visit:

https://brainly.com/question/24349828

During the month of April, Samantha Kept
track of the number of days she saw a
hummingbird in her garden. She saw a
hummingbird 18 days during that 30 day
month. Based on this information, how
many days will she see a hummingbird
during the 180 day summer?

Answers

Answer:

she will see 108 humming birds

Step-by-step explanation:

30x6= 180

so mutiply how many times she sees one in a month by 6

Answer:

3240

Step-by-step explanation:

is my answer correct?

Answers

Answer:

yes, it is correct i don't know what else to type i need to type atleast 20 characters to answer

What is the area of this figure? (I give brainliest!)

Answers

Answer:

726

Step-by-step explanation:

(22*25)+(16*11)=

550+176=

726

stream hala hala by ateez bye

Answers

stream on the ground and gone by rosé bye

Please help! What is the population of people?? Answer and explanation please! no links :\

Answers

Answer:

36043.305

Step-by-step explanation:

My brain is so tired I can't-

Multiply all the numbers with the information they gave you, then add them all.

I REALLY HOPE THIS HELPED MY BRAIN NEEDS A BREAK

find the inverse of y=0.3x

Answers

Answer:The inverse is 3.3x

Step-by-step explanation:

Answer:

x times 10

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

3

Step-by-step explanation:

A function g is the incerse of function f if y=f(x), x=g(y)

Other Questions
what was the subject of the book by vesalius that changed the field of medicine? Classify the following items under appropriate categories of equality costs viz. Prevention Costs, appraisal Cost, Internal Failure Costs and External Failure costs: (1) Rework (ii) Scrap (ii) Warranty Repairs (iv) Revenue loss (v) Repair to manufacturing equipment (vi) Discount on defective sale (vii) Establishment of quality circles (viii) Packaging inspection Michael is an avid sport gambler and is going to incorporate a new Premier League strategy, which bets on teams that outperform expectations when it rains.Under the strategy, Arsenal (a PL football club) will generate a 35% return if it rains, and only a 5% return if it does not rain (either way Arsenal is going tooutperform expectations). The other team, Manchester City, will generate a 20% return if it rains, but a -10% return if it does not rain. If there is a 30% chance ofrain, what is the correlation between the returns from Arsenal and Manchester City? ) when hydrogen ions are pumped from the mitochondrial matrix across the inner membrane and into the intermembrane space, the result is a) the formation of atp. b) the reduction of nad . c) a decrease in the ph of the mitochondrial matrix. d) the creation of a proton-motive force. An isolated chamber with rigid walls is divided into two equal compartments, one containing gas and the other evacuated. The partition between the compartments ruptures. After the passage of a sufficiently long period of time the temperature and pressure are found to be uniform throughout the chamber.a) If the filled compartment initially contains an ideal gas of constant heat capacity at 1 MPa and 500 K, what is the final temperature and pressure in the chamber?b) If the filled compartment initially contains steam at 1 MPa and 500 K, what is the final temperature and pressure in the compartment? the central concept of the expressive arts approach in counseling is: What is the meaning of the "Pacific Solution" in addressing migratory flows? In your opinion, does it involve discrimination against the migrants? Explain. Applying Factory Overhead Darling Company estimates that total factory overhead costs will be $288,000 for the year. Direct labor hours are estimated to be 18,000. a. For Darling Company, determine the predetermined factory overhead rate using direct labor hours as the activity base. If required, round your answer to two decimal places. $ per direct labor hour b. During May, Darling Company accumulated 620 hours of direct labor costs on Job 200 and 540 hours on Job 305. Determine the amount of factory overhead applied to Jobs 200 and 305 in May. c. Prepare the journal entry to apply factory overhead to both jobs in May according to the predetermined overhead rate. If an amount box does not require an entry, leave it blank. The population P of rabbits in a forest grows exponentially and can be approximated by the equation Praekt [2] where i represents the time in months, and a and k are constants. (a) The following table shows the population for various values of t. Complete the third row of the table by calculating the values of In P Time (1) 3 10 12 15 20 25 28 30 34 Population (P) 540 1100 1325 1797 2962 4864 6601 801211902 In P [2] (b) If InP=mt+c use least-squares regression to determine the values of m and c. [3] (c) Hence calculate the values of a and k. Solve for x (in radian): 3sin x = sin x + 1 for 0 x 2 when was the dollar worth more than it was today? 2016 1960 1990 1880 Christaker is considering transitioning to a new job next year. He will either keep his current job which pays a net income of $80,000 or switch to a new job. If he changes jobs, his net income will vary depending on the state of the economy. He estimates that the economy will be Strong with 20% chance ($89,000 net income), Average with 40% chance ($78,000 net income), or Weak with 40% chance ($64,000 net income).Part A1. What is the best expected value for Christaker and the corresponding decision using the Expected Monetary Value approach? $ 2. What is the expected value of perfect information (EVPI)?$Part BChristaker can hire Sandeep, a mathematical economist, to provide information regarding the state of the economy next year. Sandeep will either predict a Good or Bad economy, with probabilities 0.45 and 0.55 respectively. If Sandeep predicts a Good economy, there is a 0.32 chance of a Strong economy, and a 0.64 chance of an Average economy. If Sandeep's prediction is Bad, then the economy has a 0.56 chance of being Weak and 0.3 chance of being Average.1. If Sandeep predicts Good economy, what is the expected value of the optimal decision? $2. If Sandeep predicts Bad economy, what is the expected value of the optimal decision? $3. What is the expected value with the sample information (EVwSI) provided by Sandeep? $4. What is the expected value of the sample information (EVSI) provided by Sandeep? $5. If cost of hiring Sandeep is $455, what is the best course of action for Christaker? Select an answer Don't hire Sandeep; cost is greater than EVSI Hire Sandeep; cost is greater than EVSI Hire Sandeep; cost is less than EVSI Don't hire Sandeep; cost is less than EVSI6. What is the efficiency of the sample information? Round % to 1 decimal place. % nuclear weapon with the explosive power of 10 kilotons of tnt will have a fallout radius of up to 6 miles. this is an example of a positive statement. In the multiple regression model, the adjusted R2,A) cannot be negative.B) will never be greater than the regression R2.C) equals the square of the correlation coefficient r.D) cannot decrease when an additional explanatory variable is added Peer-pressure, self-centered thinking, close-mindedness, selective memory are the examples of: A. barriers to critical thinking 3 B. ineffective learning C. barriers to creative learning Which of the following formulas provides the proper definition of autotrophic respiration? a. Ra=NPP+GPPb. Ra=NPPGPPc. Ra=GPPNPPd. Ra=NPP/GPP Which of the following is not consistent with the resilience model proposed by Miller-Kraus?A.This resilience model is based on neurophysiology.B.The resilience zone in an internal state of adaptability and flexibility.C.We feel our best when we have a strong sympathetic system to regulate emotions.D.We feel our best and deal effectively with life when we are in our resilience zone. Choose one character from The Call of the Wild and explain how the author created him or her. Share at least three elements of characterization and give examples of each for your chosen character. Your response should address each part of the question. Use details from the book to support each description. Can someone help me with doing this about Buck? I need some help on it Set up the integral for the area of the surface generated by revolving f(x)=2x^2+5x an [2.4] about the y-axis. Do not evaluate the integral. a comma separated values (csv) file is a simple text-based file format that uses commas to separate _____.