Step-by-step explanation:
-2/3x+ 3/7 = 1/2
-2/3x = 1/2 -3/7
-2/3x = 7-6 /14
-2/3x = 1/14
3x = 1/14×(-2)
3x = 1/ -28
x = 1/ -28×3
x = 1/-84
A university wants to build a new residence hall with dorm rooms. The length is 3x+1 ft and the width is x^2-1 ft. If the university wants each room to have 195ft^2 of living space, what should be the dimensions of each dorm room? ["living space confuses me because idk if it's volume or bottom surface area]
Length of room, l = 3x + 1 ft.
Breadth of room, b = x² -1 ft.
Now, it is given that university wants each room to have 195 ft² of living space.
So,
[tex]lb = A\\\\(x^2-1)(3x+1)=195\\\\3x^3+x^2-6x-1=195\\\\3x^3+x^2-6x-196=0[/tex]
So, above equation has two complex root and one real root i.e x = 4.08 ft .
Therefore, Length of room is 13.24 ft and breadth is 15.65 ft.
Hence, this is the required solution.
what is 123+6 answer
Answer:
129
Step-by-step explanation:
123+6= 129
Answer:
Ciento veintinueve
Plz help me quickly I’ll give brainlist!!!!!!!!plz
Answer: Fraction from: 1 1/8 Decimal Form: 1.125
Step-by-step explanation:
2 1/4 = 9/4
1/2= 1/2
9/4 * 1/2 = 9/8= 1 1/8
I need 72 times 73 -43 +63
Answer: 5276
Step-by-step explanation: Use a caculator
Jerome's brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.Is Jerome's brother correct?explain why or why not.Use examples from the table to support your answer.
Answer:
Ur table is wrong
Step-by-step explanation:
Jerome is also incorrect
Answer:
top 123456
bottom 7 8 9 10 11 12 13
Step-by-step explanation:
It is Saturday morning and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In half an hour the bucket is ⅕ of the way full.
a. Using a table, determine the unit rate that water is leaking in terms of buckets of water per hour?
I will give you brianliest if you help me!!!
Answer:
the bucket is filled 2/5 every hour.
Step-by-step explanation:
Given the following exponential equation, find the Y-Intercept.
[tex]y=-3^x[/tex]
Part A Consider the Similar triangles below :
B 4 6, A, 7, C
Q, 12 , P , R
Find the scale factor :
Part B :
Find the length of side PR
Answer:
scale factor = 2
length of PR = 14
Step-by-step explanation:
i hope this helps
ASAP 30 POINTS PLEASE HELP
Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $17 to produce 2 widgets, $69 to produce 4 widgets, and $417 to produce 10 widgets. Here is the cost function used to represent this situation in terms of the number of widgets produced: c(x) = 4x2 + 2x - 3
Find the total cost of producing 6 widgets.
Answer:
the total cost of producing 6 widgets is $231
Shannon's new car sold for $28,000. Her online research indicates that the car will depreciate exponentially at a rate of 5 ¼ % per year. Write the exponential depreciation formula for Shannon's car.
Answer:
P = 28,000(0.945)^y
where P is the price of the car after y years of purchase
Step-by-step explanation:
The rate of decrease is 5 1/4 % per year
This is same as 5.5% (5.5/100 = 0.055) per year
The exponential equation will be ;
P = 28,000( 1 - 0.055)^y
P = 28,000(0.945)^y
where y is the number of years after the year of purchase
What is NOT equivalent to 20%?
A 0.2
B 1:5
C 10/50
D 4/16
Answer:
4/16
Step-by-step explanation:
mark me brainleist please
Marian wishes to buy a new computer that will cost her $300. She receives $5 per hour for babysitting her younger brother and $4 per hour for helping her mother with chores. Each week she babysits her brother for 4 hours and helps her mother with chores for 10 hours. How many full weeks must she work to earn enough money to buy the computer?
Answer:5 weeks
Step-by-step explanation: Multiply the amount of hours and money she gets from baby sitting and chores and add the answers together. This equals 60 dollars a week. 300 divided by 60 is 5.
Find the measure of the complementary angle for letter S, 14 degrees.
Answer:
The complementary angle for letter S will be: 76°
Step-by-step explanation:
As we know that two angles will be complementary if their measures add to 90°.
Given the angle of letter S = 14°
Let suppose the other measuring complementary angle is m∠A.
so the equation becomes
So
14° + m∠A = 90°
m∠A = 90° - 14°
= 76°
Therefore, the complementary angle for letter S will be: 76°
The graph represents a system of linear equations. Which statements are true?
A) The solution is (6, 4).
B) The system has one solution.
C) The point of intersection is the solution.
D) A reasonable solution is (7.1, 0.9).
E) A reasonable solution is (6.4, 0.4).
Answer:
A
Step-by-step explanation:
Trust me I kinda can't explained it so you got to trust me
The correct answer would be options (B), (C), and (E) which the statements are "true".
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The graph given in the question, as shown represents a system of linear equations.
According to the given graph, the statements are "true" as follows:
The system has one solution.
The point of intersection is the solution.
A reasonable solution is (6.4, 0.4).
Hence, the correct answer would be options (B), (C), and (E).
Learn more about the Linear equations here:
https://brainly.com/question/13738061
#SPJ5
What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
Answer:
the correct answer is x-2 and x+5
Step-by-step explanation:
Use Cymath
Which statement represents the given algebraic expression?
\large -3n-17
a
Seventeen less than three times a number
b
Negative three minus seventeen
c
A number less than seventeen is negative three
d
Negative three of a number decreased by seventeen
Answer:
D would be your answer
Step-by-step explanation:
Bok Sanctuary in Lake Wales, FL, has a carillon tower that is 205 feet tall. Heather made a scale drawing of the tower using the scale 1 inch : 20 feet. In which proportion does h represent the height, in inches, of Heather's scale drawing?
Answer:
10.25 inches
Step-by-step explanation:
Given that:
Actual height of tower = 205 feets
Ratio of scale drawing = 1 inch : 20 feets
The proportion of the height of the scale drawing will be :
Actual height / 20 feets
205 feets / 20 feets
= 10.25 inches
h in inches of the scale drawing will be 10.25 inches
If (x + 7) is a factor of f(x), what is the value of f(-7)?
Answer:
The answer is 0.
Step-by-step explanation:
Simply plug in -7 for x as they want to see what the value of the function is when x=-7.
You can then just add -7 and 7.
7 + -7 = 0
So the answer is 0
What is the lowest price per item? $1.40 each $9 for 6 $6 for 3 $10 for 8
Answer:
$10 for 8
Step-by-step explanation:
it would be $1.25 each
hope this helps :3
if it did pls mark brainliest
Answer:
what the first person said
Step-by-step explanation:
Solve the photo. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
19.4
Step-by-step explanation:
I haven't done this type of equation in awhile but I believe you can multiply 8 and 17 then divide it by 7 to find the missing number. It might be correct but I am not 100% sure.
H(x) =2x+3 James brought a plant that was 3 inches tall. Each week the plant grew 2 inches. The function h(x) = 2x + 3 describes the height of the plant after x weeks. Which is the reasonable domain for this function?
Answer:
For 6 weeks, the height will be 15 inchesStep-by-step explanation:
Step one:
given data
the initial height of plant= 3inches
growth in inches per week =2inches per wee
Step two:
for x number of weeks, the height is expressed as
[tex]h(x) = 2x + 3[/tex]
With the given growth function, we can estimate the height of the plant after any number of weeks, say x=6, that is 6 weeks, the height will be
substitute x=6 in the growth function
[tex]h(x) = 2(6)+ 3\\\\h(x) = 12 + 3\\\\h(x) = 15 inches[/tex]
What is the equation of the line with a slope of 1/4 and a y-intercept of -2?
Answer:
y=(1/4)x-3
Step-by-step explanation:
my mom is in charge of providing snacks for her soccer team. She has cut up pieces
of apple and orange totalling 48 pieces of fruit. She brought twice as many
pieces of orange as she did apple. How many pieces of orange did she bring to
the soccer players? *
12
16
32
O 24
Answer:
32 oranges and 16 apples
john works at a grocery store and makes $11 amount of dollars an hour. how much will be in johns paycheck this week if he worked 32 hours?
Answer: $352
Step-by-step explanation:
Which one is the graph of f(x) = [x]?
Answer:
F
Step-by-step explanation:
because its linear
Enter the next three numbers of the repeating decimal produced by the fraction 4/7
Answer:
.571
Step-by-step explanation:
4/7 = .571
The mass of a rock sample is 25 g and
its density is 5 g/cm². What is the
volume of the rock sample?
Answer:
given us,
mass= 25g
density= 5 g/ cm2
here,
volume = mass/ density
= 25g/ 5g cm2
= 5cm2
Step-by-step explanation:
cm2 is the square
Answer:
5
Step-by-step explanation:
25 / 5 = 5 mass / density = volume
−7x−5=4x-29 What is the answer?
can someone help me answer this? urgent‼️
i'm so sorry it's super hard to see, could someone please help me
Step-by-step explanation:
I got Y=-12/11-3
The only other answer it could be is the last one since perpendicular lines have negative reciprocal slopes and none of the other answer choices have negative reciprocal slopes.