Can someone help me translate this into a mathematical notation One fourth of three times a number is five

Answers

Answer 1

Answer:

Answer:

3x/4 = 5

Step-by-step explanation:

Related Questions

A.3(f) The line graphed on the grid represents the first of two equations in a system of linear equations.20-1612-8-20 -16 -12--4481216 2024-8-1216If the graph of the second equation in the system passes through (-12, 20) and (4,12), which statement is true?
3.A train can travel 360 miles in 4 hours. How much time will it taketravelling 585 miles?
What's the inverse operation of division? A. Multiplication B. All mathematical operations C. Subtraction D. Division has no inverse operation.
Decide whether enough information is given to prove that the triangles are congruent using the SAS congruence theorem. If so, write a proof. If not, explain why(Questions 7 and 8)
Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint. Which of these mixtures produce the same shade of green paint as Diego’s mixture?Select all that apply.Group of answer choicesFor every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint.Mix tablespoons of blue paint and yellow paint in the ratio 1:5.Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.

Assume that a lost treasure will be in a certain area of the ocean with probability 0.4, and that a search of that area will find the treasure with probability 0.9 if it is there. What is the conditional probability of the treasure being in the area if the area is searched and no treasure is found?

Answers

Answer:

the probability of the treasure being in the area given that no treasure is found is 0.0625 (6.25%)

Step-by-step explanation:

denoting the event N= no treasure is found , then

P(N) = probability that the lost treasure is in the area* probability that the lost treasure is not found in the treasure's area + probability that the lost treasure is not in the area* probability that the lost treasure is not found in other areas = 0.4*0.1 + 0.6*1 = 0.64

P(N) = 0.64

then we can get the conditional probability using the theorem of Bayes . Denoting the event A= the treasure being in the area

P(A/N) = P(A∩N)/P(N) = 0.4*0.1/0.64 = 0.0625 (6.25%)

where

P(A∩N) = probability of the treasure being in the area and no treasure is found

P(A/N) = probability of the treasure being in the area given that no treasure is found

Minimizing Construction Costs The management of the UNICO department store has decided to enclose a 945 ft2 area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will be made of galvanized steel fencing. If the pine board fencing costs $7/running foot and the steel fencing costs $4/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (Round your answers to one decimal place.)

Answers

Answer:

Pine board side = 16.4 ft

Steel fencing side = 57.5 ft

Step-by-step explanation:

Let 'B' be the length of each side constructed of pine boards, and 'S' be the length of the side with the steel fencing, the area (A) and cost (C) functions are:

$945 = B*S\nB=(945)/(S) \nC= 4*S+7*2B\nC=4S+(13,230)/(S)$

The value of S for which the derivate of the cost function is zero, minimizes cost:

$C'=0=4+(-13,230)/(S^2)\n S=√(3,307.5) \nS=57.5 ft$

The value of B is:

$B=(945)/(57.5)\nB=16.4 \ ft$

Pine board side = 16.4 ft

Steel fencing side = 57.5 ft

Final answer:

To minimize the construction costs for the enclosure, the dimensions should be calculated using the calculus optimization technique. By incorporating the cost and area requirements into calculated equations and solving, you will find x = 2 times y. This is how you minimize the cost.

Explanation:

This problem involves the application of calculus and optimization techniques. Given that the area of the enclosure needs to be 945 ft2, and that it is adjacent to an external wall of the department store, we can infer that its shape is rectangular.

Let the width of the enclosure parallel to the department store be x (feet), and its length perpendicular to the store be y (feet). According to the area requirement, we have the equation x*y = 945 ft2.

The cost of the enclosure is the sum of the cost of the pine board fences and the steel fence. Since 2 sides are made of pine boards, and 1 side made of steel, the cost can be expressed as C = 2xy p + y s, where 'p' is the cost of pine board per foot ($7), and 's' is the cost of steel per foot ($4).

Since we are looking for the minimum cost, we derive this equation and set it equal to zero to find the dimensions x and y. After substituting and simplifying, we find that the minimum cost is obtained when x = 2 y. By substituting this into the area equation, we can solve for the dimensions of the enclosure.

Learn more about Calculus Optimization here:

brainly.com/question/30795449

#SPJ3

Two numbers, if the first one increases by 1, and the second one decreases by 1, then their product increases by 2020. If the first number decreases by 1, and the second one increases by 1, what value does the product decrease?

Answers

Answer:

The product decreases 2022.

Step-by-step explanation:

(x + 1)(y - 1) = xy + 2020

xy - x + y - 1 = xy + 2020

-x + y = 2021

(x - 1)(y + 1) = xy + x - y - 1

+ 2021 = -x + y

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

(x - 1)(y + 1) + 2021 = xy - 1

(x - 1)(y + 1) = xy - 2022

The product decreases 2022.

Can I get the answer for 3 4 5 6

Answers

3) x=190, <BOC=85

4) x=177, <TOU=31

5) x=61, <LOM=110

6) x=55, <DOE=117

A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is 200 + 3q q . The cost per item to produce q items in factory B is 400 + q 3q . Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.

Answers

Answer:

100

Step-by-step explanation:

200+3qq+400+q3q

200+3q²+400+3q²

3q²-3q²+400-200

q²=200

q²=200/2

q²=100

Quiz 2 : percent and percentage change the decimal 0.82 to a percent

A. 0.8%
B.82%
C.90%
D. None of these choices are correct

Answers

Answer:

82%

Step-by-step explanation:

0.82x100=82

=82%

Hope this helps

Answer:

B. 82%

Step-by-step explanation:

.82 can also be written as 82/100 and 82/100 can be turned into 82% because they are all based on 100

Other Questions

A number is divisible by 3 if the sum of the digits of the number is divisible by 3.

A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the child at a rate of 78 ft/sec. How fast must the child let out the string when the kite is 390 ft away from the child?

1. Dyani says she identified a quantitative variable and conducted a survey when she asked her fellow classmates in her homeroom about their favorite style of sweatshirt from the categories: hoodie, pullover, or zip-up. Explain her error. 2. Suppose Hana wants to find out the most commonly driven type of the vehicle among the students at her high schoo;. Since 1,560 students attend her high school, she asks every tenth student who enters the building one morning what kind of vehicle he or she drives. What is the population in this scenario?

These triangles are similar. What is the value for it?