Answer:
[tex]y = \frac{4}{15} [/tex]Step-by-step explanation:
To find y when x=4, we must first find the relationship between them
The statement
y varies directly with x is written as
[tex]y \: \: \: \alpha \: \: \: kx[/tex]where k is the constant of proportionality
From the question
when y = 1/5
x = 3
Substitute the values into the above formula and solve
That's
[tex] \frac{1}{5} = 3k \\ 15k = 1 \\ k = \frac{1}{15} [/tex]So the formula for the variation is
[tex]y = \frac{x}{15} [/tex]From the question
when x = 4
[tex]y = \frac{4}{15} [/tex]Hope this helps you
Write an expression to determine the length of the room in units of 3 feet.
Answer:
1/3LStep-by-step explanation:
The question with some background info added:
When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape. (The carpenter's tape measure does not display inches) Write an expression to determine the length of the room in units of 3 feet. SolutionLet the length of the room be L feet measured by the carpenter
Then
L/3 = 1/3L would be measure of the length in units of 3 feetWhat is the equation of the line that passes through the point (8,3) and has a slope
of 1/4?
A baby weighs 115 ounces. What is the baby's weight in pounds and ounces? *Plz explain your answer*
Answer:
7 pounds 3 ounces
Step-by-step explanation:
There are 16 ounces in a pound. In order to convert ounces to pounds, we need to see how many 16s fit into 115 (how many full pounds can be made with 115 ounces) and add the remainder as ounces. To do this we can do long division (which gives us 7 remainder 3), or we can divide 115 by 16 (=7.1875) and convert the decimal places to ounces by multiplying 0.1875 pounds (the remainder) by 16 (as there are 16 ounces in pound) which gives us 3 ounces.
So 115 ounces is equal to 7 pounds and 3 ounces.
Hope this helped!
The baby's weight is 7 pounds and 3 ounces.
To convert ounces to pounds, we need to divide the number of ounces by the conversion factor, which is 16. There are 16 ounces in 1 pound.
Let's denote the baby's weight in ounces as W oz, the weight in pounds as W lb, and the remaining ounces as Roz.
W oz = 115 ounces
W lb = ?
R oz = ?
First, we divide the total number of ounces by 16 to find the number of pounds:
W lb = W oz / 16
= 115/ 16
= 7.1875 pounds
So, the baby weighs 7 pounds.
To determine the remaining ounces, we multiply the decimal portion of the pounds (0.1875) by 16:
R oz = 0.1875 x 6
R oz= 3 ounce
So, the baby weighs an additional 3 ounces.
Therefore, the baby's weight is 7 pounds and 3 ounces.
Learn more about Unit Conversion here:
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- 3x = 18 answer = m = - 6 answer = 3 4 + y = 0 answer = 2x = - 6 answer = h=2 answer = 5 d = 1 answer = - 8 6 + x = 2 answer = - 7y = 21 answer = - 9w = 0 answer =
Answer:
this doesnt make sense sorry
Step-by-step explanation:
im trying to help
A computer has $245 and his commuter savings account. This account changes by -$15 each week he buys a ticket. In one time period The account changes by -$240. For how many weeks did the computer buy tickets?
Answer:
16 weeks
Step-by-step explanation:
Change per week = - $15
Total change = - $240
Number of weeks:
-240/ -15 = 16What do you think is a real number?
Answer:
Real numbers consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers.
Step-by-step explanation:
A cereal manufacturer has a tolerance of .75
oz for a box of cereal that is supposed to weigh
20 oz. Write and solve an absolute value
inequality that describes the acceptable weights
for a 20 oz box.
let the absolute weight of the box of cereal be X
20-0.75 ≤ x ≤ 20+0.75
19.25 ≤ x ≤ 20.75
Please show all work and not just the answers.
Answer:
The angle of PML is 68°.
Step-by-step explanation:
Given that total angles in a straight line is 180° so we can assume that ∠LMN is 180°. In order to find ∠PML, we have to subtract :
[tex]∠PML+∠ PMO + ∠OMN = 180[/tex]
[tex]∠PML + 90 + 22 = 180[/tex]
[tex]∠PML + 112 = 180[/tex]
[tex]∠PML = 180 - 112[/tex]
[tex]∠PML = 68[/tex]
A Skier descended down a mountain at a rate of 14 feet per second.what was his total change in elevation after 8 seconds?
Answer:
1.75ft/s²Step-by-step explanation:
The total change in elevation of the skier is its acceleration. Acceleration is the change in velocity of a body with respect to time.
Acceleration = Velocity/Time
Given velocity of the skier = 14feet/sec
Time taken = 8secs
Acceleration of the skier = 14/8
Acceleration of the skier = 1.75ft/s²
Hence the total change in elevation after 8 seconds is 1.75ft/s²
(9x-2)+(2x-8) I forgot how to do this
Answer:
Hey there!
9x-2+2x-8
11x-2-8
11x-10
Let me know if this helps :)
Answer:
11x - 10
Step-by-step explanation:
because there is a plus sign between the brackets, we just assume there are no brackets at all........so it will be:
9x - 2 + 2x - 8,,,,,,,,,bring the like terms together
9x + 2x - 2 - 8 = 11x -10.
the answer has a minus sign because when working out two negative numbers, we add them but still maintain the negative sign.
NOTE: If the sign between the brackets was a minus , the sign in the second expression would have changed from -8 to +8
what is the value of x in 3x+7y=27
Answer:
[tex]x = \frac{-7y}{3} +9[/tex]
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other side. Do the opposite of PEMDAS. Isolate the variable, x.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 7y from both sides:
3x + 7y (-7y) = 27 (-7y)
3x = -7y + 27
Next, divide 3 from all terms on both sides:
(3x)/3 = (-7y + 27)/3
x = (-7y/3) + 9
[tex]x = \frac{-7y}{3} +9[/tex]
Solve 17-21
Pleaseeee
Answer:
17) sometimes
18) sometimes
19) sometimes
20) sometimes
21)what is it asking
Step-by-step explanation:
17) in terms of the square that's correct but in terms of a rectangle it's not
18) the the angles could be 30, 60, 92, 178.. the four angles have to add up to 360 but they could be 150 for example 30, 30, 150, 150,
19) in in terms of a rectangle, kite etc it's correct. but for a kite or a trapezoid it's not
20) in in terms of a kite yes but in terms of a square no.
21)??
which is a valid proportion?
Answer:
3/4=21/28
Step-by-step explanation:
21/28÷7/7=3/4
Answer 3/4 and 21/28
The amount of water in a bottle is reduced by 15% to 119 milliliters. How much water was originally in the bottle? ________ ml
Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically in her wall while remaining below this maximum. So, she constructs the expression 0.4x + 0.6 to measure the height of her wall, where all constants represent measurements in meters. Which of the following statements are true? Select all that apply. 0.4 represents the height of the wall. 0.4 represents the height of the base. 0.4 represents the height of each block. 0.6 represents the height of the wall. 0.6 represents the height of the base. 0.6 represents the height of each block.
Answer:
The correct options are;
0.4 represents the height of each block
0.6 represents the height of the base
Step-by-step explanation:
The given information are;
The activity Kirima is engaged in = Building a wall
The process by which she is building the wall includes
1) Construction of a base on the floor
2) Piling blocks of uniform height to form the wall
3) Estimating the height of the wall she is constructing with the expression 0.4·x + 0.6 where the constants which are 0.4 and 0.6 are in meters;
From her procedure, we have the constants, which are the values that do not change as follows;
1) The firm base
2) The uniformly sized blocks
Of the two constants, the one that consists of multiple items is the uniform sized blocks as they are laid in brick pattern
There is only one firm base
Therefore, the constant that has a variable is the uniform sized blocks
Which gives in the expression 0.4·x + 0.6, we have;
0.4 = The dimension of the uniform sized blocks
∴ 0.6 = The dimension of the firm base.
During harvesting season at Florida Blue Farms, hand pickers
collect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?
A (0.95h+200)(0.90+22000)
B 0.95(200h)+0.90(22000m)
C 200.95h+22000.90m
D (200h+0.95)(22000m+0.90)
Step-by-step explanation:
its b..........
Bbbbb
The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: [tex]0.95(200h) + 0.90(22000m)[/tex]
Given that
[tex]h \to[/tex] days of hand pickers word
[tex]m \to[/tex] days harvester machine is used
[tex]n_h = 200[/tex] --- pounds of hand pickers
[tex]n_m = 22000[/tex] -- pounds of harvester
[tex]r_h = 95\%[/tex] -- pack out rate of hand pickers
[tex]r_m = 90\%[/tex] -- pack out rate of harvester
The expression to estimate the amount is calculated as:
[tex]Amount = r_h \times n_h + r_m \times n_m[/tex] --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate
So, we have:
[tex]Amount = 95\% \times 200h + 90\% \times 22000m[/tex]
Express as decimal
[tex]Amount = 0.95 \times 200h + 0.90 \times 22000m[/tex]
Rewrite as:
[tex]Amount = 0.95(200h) + 0.90(22000m)[/tex]
Hence, option (b) is correct.
Read more about algebraic expression at:
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Measuring Segments
Classify the Number: 120
whole
Whole, counting
Counting, whole, integers rational, real
Irrational, real
Answer:
counting, whole, integers, rational, real
Step-by-step explanation:
Counting numbers are any number above 0, and all the other groups will also fall into place if a number is a coutning number. Since 120 is a counting number, it falls into all the other groups above it too.
A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is How many Starburst are in the bucket?
Complete question:
A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?
Answer:
18
Step-by-step explanation:
Give the following :
Number of jolly ranchers = 24
Number of Hershey kisses = 18
Number of smarties = 12
Number of Starburst = s
Probability of pulling out a smarties ; P(smarties) = 1/6
Probability = required outcomes / total possible outcomes
Required outcome = 12
Total possible outcomes = (24 + 18 + 12 + s) = 54 + s
P(smarties) = 12 / (54 + s)
1/6 = 12 / 54 + s
1 × (54 + s) = 12 × 6
54 + s = 72
s = 72 - 54
s = 18
Hence number of smarties = 18
f(x) = 2x + 4 g(x) = x – 7 h(x) = 9 – x Find f(g(x))=
Answer: [tex]2x^{2} - 10x -28[/tex]
Step-by-step explanation:
We know that f(x) = 2x +4 and g(x) = x -7 so to find f(g(x)) multiply them.
(2x + 4)(x-7) Apply the distributive property twice
2x(x-7)
2x^2 - 14x
4(x-7) = 4x - 28
2x^2 - 14x + 4x -28
2x^2 -10x - 28
I just need number 15 pls it is due in 3 hours
Worth 15 points
Answer:
Step-by-step explanation:
Don't know. Maybe you add up the two numbers then divide the answer.
Answer:
He is wrong in his approach, because the triangle is a 3,4,5, triangle and he should have put √5^2-4^2
Step-by-step explanation:
Which of the following is an irrational number
Answer: D is the answer
Step-by-step explanation: Because a irrational number is a number that is non-reapting and non-terminating and it cannot be written as a ratio or a fraction
Hope this helps...
Plzzzzzzzzzzz answer this y^2+4x=0 2x+y=4
Please help due in a few minutes……:(
Answer:
b and d
Step-by-step explanation:
translation is just a fancy word for moved around so pick all of the letters that are the same shape and the same degree of rotation but in a different spot which is b and d
Question 6 of 10
It takes a person 35 seconds to swim in a straight line from the east end of a
pool to the west end of the pool, a distance of 50 meters. What is the
swimmer's velocity?
A. 1.4 m/s west
B. 1.4 m/s east
C. 0.7 m/s west
D. 0.7 m/s east
Answer:
Swimmer's velocity = 1.4 m/s west (Approx)
Step-by-step explanation:
Given:
Total time taken = 35 seconds
Total displacement to west = 50 meter
Find:
Swimmer's velocity
Computation:
Swimmer's velocity = Total displacement to west / Total time taken
Swimmer's velocity = 50 / 35
Swimmer's velocity = 1.428
Swimmer's velocity = 1.4 m/s west (Approx)
Answer:
approximately 1.4 m/s west
yeeeeeeeeeeet
Solve for x in the diagram below
Answer:
x = 12°Step-by-step explanation:
First of all the angles lie on a right angle which means that they are complementary.
Complementary angles are angles that add up to 90°
To find x add up all the angles and equate it to 90° and solve for x
We have
x + 42 + 3x = 90
4x + 42 = 90
Subtract 42 from both sides
4x + 42 - 42 = 90 - 42
4x = 48
Divide both sides by 4
That's
[tex] \frac{4x}{4} = \frac{48}{4} [/tex]We have the final answer as
x = 12°Hope this helps you
1. What is a sequence?
2. What is each number in a sequence called?
3. What do patterns do?
4. What is an arithmetic sequence?
Answer:
1. A particular order in which related events, movements, or things follow each other.
2. A term
3. Patterns offer visual clues to an underlying order. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.
4. Sequence of numbers such that the difference between the consecutive terms is constant.
Let $A=(0,1),$ $B=(2,5),$ $C=(5,2),$ and $D=(7,0).$ A figure is created by connecting $A$ to $B,$ $B$ to $C,$ $C$ to $D,$ and $D$ to $A.$ The perimeter of $ABCD$ can be expressed in the form $a\sqrt2+b\sqrt{5}$ with $a$ and $b$ integers. What is the sum of $a$ and $b$?
Answer:
12
Step-by-step explanation:
thet u go!!!!
HELP One-third (x minus 2) = one-fifth (x + 4) + 2
find the number shows 5 by 7 is 125
Answer:
answer is 175
Step-by-step explanation:
Let the number be x,
x*5/7=125
multiply 125 by 7 because if divide is there when it will go to another side it will be multiply so,
x*5=125*7
or,x*5=875
now you should do divide by 5 because multiply will be divide when it will go to another side
x=875/5
x=175
Hope it is helpful for you
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