Answer:
40 feet
Step-by-step explanation:
We know that the area of a rectangle is represented as [tex]lw=a[/tex], where l is the length and w is the width.
We already know the width, and we know the area, so we can plug these values into the equation.
[tex]l\cdot 6 = 240[/tex]
Our goal is to now isolate the variable l, and to do this we can divide both sides by 6.
[tex](l\cdot6) \div6 = 240\div6\\\\l = 40[/tex]
Hope this helped!
Answer:
l=a/w
Step-by-step explanation:
Length equals area divided by width.
The manager of a factory collected data in order to analyze the relationship between the number of hours of training a worker receives and
the worker's error rate. The line of best fit for the collected data is y=01 -0.005r where x is the number of hours of training a worker
receives and y is the error rate.
What approximate error rate should the manager expect for a worker who receives 6 hours of training
Answer:
The approximate error rate the manager should expect for a worker who receives 6 hours of training is 0.07 error rate
Step-by-step explanation:
The given relation between the number of hours of training a worker receives, x and the worker's error rate y can be presented follows;
y = 0.1 - 0.005·r
Therefore, the approximate error rate the manager should expect for a worker who receives 6 hours of training can be given as follows;
When x = 6 hours, we have
y = 0.1 - 0.005 × 6 = 0.07
The approximate error rate the manager should expect for a worker who receives 6 hours of training is 0.07.
Which is an error rate o 7%
In a mixture of 60 litres, the ratio of milk to water is 2:1. If this ratio is to be 1:2,then find the quantity of water to be further added.
Answer:
Quantity of milk = 60 x 2/3 litres = 40 litres.
Quantity of water in it = (60- 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres.
Then, milk : water = 40 /20 + x
Now, 40 /20 + x = 1/2
20 + x = 80
x = 60.
Quantity of water to be added = 60 litres.
Does anyone know this
Answer:
A
Step-by-step explanation:
To figure out whether a graph is a function, you need to use the line test. The line test is where you pass a vertical line over the graph. If the vertical line crosses the graph more than once, the graph is not a function. You can use your pencil as a vertical line.
Graph 1 is not a function because the vertical line will cross the graph twice.
Graph 2 is a function because the vertical does not cross the graph twice.
Graph 3 is not a function because the vertical line will cross the graph twice.
Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4m and 2.5m. Also find the perimeter of the square.
Answer:
side: 4 metres
perimeter: 16 metres
Step-by-step explanation:
Let's first find the area of this rectangle.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width. Here, the length is l = 6.4 and the width is w = 2.5. Plug these in:
A = lw
A = 6.4 * 2.5 = 16 metres squared
We want to find the side of a square with area 16. Suppose the side length is x. The area of a square is denoted by A = x * x = x², so set this equal to 16:
x² = 16
x = √16 = 4
Thus, the side length is 4 metres.
The perimeter of a square is denoted by P = 4s, where s is the side length.
Here the side length is 4 metres, as we found, so:
P = 4s = 4 * 4 = 16
Hence the perimeter is 16 metres.
Josh weighed cantaloupes he picked from his garden. This line plot shows the cantaloupe weights. What is the total weight of all the cantaloupes that weigh no more than 2 pounds? 712 lb 10 lb 15 lb 20 lb
Answer:
Step-by-step explanation:
From the plot line you have (1x3) + (2x 1 1/4) + (3x 1 1/2) = 10
The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.
Calculation of the total weight:Since Josh weighed cantaloupes he picked from his garden.
So here the total weight should be like
[tex]= (1\times 3) + (2\times 1\ 1\div 4) + (3\times 1\ 1\div 2)[/tex]
= 10
hence, The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.
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Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135
Answer:
∠ Y = 45°, ∠ X = 135°
Step-by-step explanation:
Since the 2 angles are supplementary, then
X + Y = 180 ← substitute X = 3Y
3Y + Y = 180, that is
4Y = 180 ( divide both sides by 4 )
Y = 45
and
X + Y = 180, so
X + 45 = 180 ( subtract 45 from both sides )
X = 135
Thus
∠ X = 135° and ∠ Y = 45°
Answer:
the answer is 135
Step-by-step explanation:
Hi... can anyone pls help
Answer: A globe shows all the countries with landmass and water bodies but a map shows only a specific country with its size shape and features .
Step-by-step explanation:
Which step is the same when constructing an inscribed square and an inscribed equilateral triangle?
Answer: B.Construct a circle of any arbitrary radius.
Step-by-step explanation:
had to complete the question first.
A.Connect every arc along the circle.
B.Construct a circle of any arbitrary radius.
C.Set the compass width to greater than half the diameter of the circle.
D. Set the compass width to the radius of the circle.
Explanation:
when constructing an inscribed square and an inscribed equilateral triangle, the most important step and which turns out to be same for both procedures is the constructio of of a circle of an arbitrary radius. Because it’s is within this circle both the triangle and square would be drawn. Just their method of construction are different.
Two students were asked to use estimation strategies to find a reasonable solution to this question: Heather has four envelopes with money in them. The first has $246, the second has $405, the third has $105, and the fourth has $514. Estimate the total amount of money in the four envelopes. From the choices below, select the student with the more reasonable solution.
Answer:
417 $
b h h h h h h h h h h h h
CHAIRS A local furniture store sells two versions of the same chair: one for adults, and one for children. Find the value of x such that the chairs are similar.
Adult chair= 18,16
Kid Chair x,12
Answer:
Idek
Step-by-step explanation:
Ya I just need points
Answer:
13.5
Step-by-step explanation:
Use fractions to help. 12/16 = x/18.
12/16 simplifies to 3/4, so now divide 18 by 4 and multiply by 3.
18 / 4 = 4.5
4.5 x 3 = 13.5
-4 + (-1) on a number line
Answer:
-5
Step-by-step explanation:
+-=-
-4-1=-5
Scouts of D.P.S Sharjah made to run around a regular hexagonal ground fig 9, of perimeter 270 m .If they started running from point X and covered two fifth (2/5th) of the total distance.Which side of the ground will they reach?
Answer:
Side 3 or side 4
Step-by-step explanation:
The ground has 6 sides
Each side is:
270 m / 6 = 45 mIt is assumed that total distance is one cycle of 270 m.
Since no diagram attached, the start point X is the beginning of side 1.
Then the distance covered is:
270 m * 2/5 = 108 mAs
2*45 m = 90 m < 108 m < 3*45 m = 135 mthe scouts reached the side 3 or side 4 of the ground depending on direction of movement (clockwise vs anti-clockwise)
Which value goes in the empty cell?
Answer:
[See Below]
Step-by-step explanation:
If you replace the x with -1 and evaluate the function you get -5.
2
)
The
population
of
a
town
was
568.
During
that
year
236
persons
migrated
to
it
.
What
is
the
present
population
of
the
Su
town?
Answer:
[tex]\huge \boxed{\mathrm{804}}[/tex]
Step-by-step explanation:
[tex]\sf The \ initial \ population \ of \ the \ town \ was \ 568.[/tex]
[tex]\sf 236 \ migrated \ to \ the \ town.[/tex]
[tex]568+236[/tex]
[tex]=804[/tex]
[tex]\sf The \ present \ population \ of \ the \ town \ is \ 804.[/tex]
Answer:
[tex]\huge\boxed{ 804}[/tex]
Step-by-step explanation:
Prior Population = 568
Added People = 236
Current Population = 568 + 236
=> 804
ASAPPPPP -2.0 * (-3.6)
Answer:
the answer is 7.2
Step-by-step explanation:
Answer:
7.2 or [tex]\frac{36}{5}[/tex]
Step-by-step explanation:
-2.0 * (-3.6) = [tex]\frac{36}{5}[/tex]
[tex]\frac{36}{5}[/tex] = 7.2
it becomes positive becomes two negative numbers are involved
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements.
f(4) is
f(x) = 4 when x is
و بہادن دا
8
2
3
11
3
4
1
2
Answer:
f(4) is 1/2
f(x)= 4 when x is 8
Which of the following expressions has three factors?
5(p+6)(q-4)
2(7-b)
(d-3)(c+9)
x+y-4
Answer:
5(p + 6)(q - 4)
Step-by-step explanation:
Factors are a set of numbers, alphabets or both that when multiplied would give a certain expression.
The expression with three factors is: 5(p + 6)(q - 4)
So that;
5(p + 6)(q - 4) = (5p + 30)(q - 4)
Then,
(5p + 30)(q - 4) = 5pq - 20p + 30q - 120
Therefore, the factorization of 5pq - 20p + 30q - 120 gives the factors; 5(p + 6)(q - 4).
Answer:
5 (p+6) (q−4)
'
Is the equation (3x^2+2)=9x+4 always, sometimes, or never true? Explain.
always true
Step-by-step explanation:
Assuming that you mean by true that it has solutions
we have
[tex]3x^2-9x-2=0[/tex]
to know if it has real solutions we need to know if
[tex]b^2-4ac[/tex]
is greater, equal or less than zero
if it's greater it's always
if it's equal it's sometimes
if it's less it's never
so
b=-9
a=3
c=-2
[tex](-9)^2-4(3)(-2)\\\\=81+24\\\\=105[/tex]
so it's always
The equation (3x² +2) = 9x + 4 is sometimes true.
What is an equation ?An equation is an mathematical expression stating that left hand side and the right hand side are equal.
The equation (3x² +2) = 9x + 4 is only true for the roots of the formed equation
3x² + 2 = 9x + 4
3x² = 9x + 2
3x² - 9x -2 = 0
∴ x = (3 + [tex]\sqrt{105}[/tex])/2 OR (3 - [tex]\sqrt{105}[/tex])/2
Only for these values of x the equation 3x² + 2 = 9x + 4 are true except these two values it is never true.
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8 = 3а – 4
How do I solve this problem
An overseas telephone company charges $4 for the first minute of talking and then $0.25 for each additional minute. If a woman spent $13.75 talking on the phone, how many minutes did she talk for?
Answer:
39 minutesStep-by-step explanation:
In this problem we can see that there is a constant/flat rate charge of $4 on every first minute
we can model the cost for calls as
[tex]y= 4+0.25x------1[/tex]
where x is the number of extra minutes spent
given that y = $13.75
We can simply substitute our given values into the equation 1 above and solve for x
[tex]13.75= 4+0.25x\\\\13.75-4= 0.25x\\\\9.75=0.25x[/tex]
Divide both sides by 0.25 to find x
[tex]x= 9.75/0.25\\\\x=39[/tex]
Anna's hair has grown 2/3 of an inch in the 6 weeks since her last haircut. How fast does her hair grow?
Answer:
1/9th of an inch
Step-by-step explanation:
2/3 times 6 = 2/18 = 1/9
Answer:
1/9
Step-by-step explanation:
Round 543,982 to the nearest thousand.
Answer:
544,000
Step-by-step explanation:
Answer:
544,000
Step-by-step explanation:
you look at the thoundsands place which is the three, then you look at the digit to the right ( 5-10 round up, below 0-4 round down)
The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU:UV:VWTU:UV:VW is equal to 2:5:5.2:5:5. If TW=24,TW=24, find UV.UV.
Answer:
[tex]UV = 10[/tex]
Step-by-step explanation:
Given
[tex]TU : UV : VW = 2 : 5 : 5[/tex]
[tex]TW = 24[/tex]
Required
Determine UV
From the given parameters, we have that:
Ratio of TU = 2
Ratio of UV = 5
Ratio of VW = 5
First, we have to add up the total ratio;
Total = Ratio of TU + Ratio of UV + Ratio of VW
[tex]Total = 2 + 5 + 5[/tex]
[tex]Total = 12[/tex]
Next is to calculate the length of UV; as follows;
[tex]UV = \frac{Ratio\ of\ UV}{Total\ Ratio} * TW[/tex]
Substitute 5 for Ratio of UV; 12 for Total Ratio and 24 for TW
[tex]UV = \frac{5}{12} * 24[/tex]
[tex]UV = \frac{5 * 24}{12}[/tex]
[tex]UV = \frac{120}{12}[/tex]
[tex]UV = 10[/tex]
Hence; length of UV is 10 units
A. Write an expression to represent the difference between the two points shown on the number line. B. Find the distance between the two points. [Hint: Remember that distance is always positive.]
Answer:
Step-by-step explanation:
A: The distance is the sum of |-1.6| and 0.3: |-1.6| + 0.3
B. This distance is 1.6 + 0.3 = 0.9
Evaluate (-3) to the power of 4
Answer:
-81
Step-by-step explanation:
Write it out, so it's more clear: [tex]-3^{4}[/tex] Because the base number of the equation (-3) is a negative, we know the answer will be a negativeMultiply -3 by itself 4 times: -3 × 3 × 3 × 3 -3 × 3 × 3 × 3 = -81
Eileen is trying to test if the function f(x) = x2 + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)2 + 2(–x) + 5 = x2 – 2x + 5 What conclusion can she reach? f(x) is even f(x) is odd f(x) is neither f(x) is both even and odd
Answer:
f(x) is neither
Step-by-step explanation:
The given function is neither even nor odd. The correct option is B.
What are odd and even functions?When the value of the function is negative after putting the value of the variable negative in the function then the function is odd and if the value of the function is positive after putting the negative value of the variable then the function is even.
Given that Eileen is trying to test if the function f(x) = x² + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)² + 2(–x) + 5 = x² – 2x + 5.
The function will be solved as below:-
f(x) = x² + 2x + 5
f(– x) = (–x)² + 2(–x) + 5
f(-x) = x² – 2x + 5.
Here the resultant function is not giving any clear information the given function is neither even nor odd. The correct option is B.
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[PLEASE ANSWER FAST] A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?
Answer:
525
Step-by-step explanation:
Since the submarine is 150 (you didn't specify the units) below sea level, we can express its position as -150. Therefore, 375 - (-150) = 375 + 150 = 525.
Richard ran the route A-B-C-D-E-F-G-H-A. Which of the following paths taken by Richard appear to be perpsndicular to path BC?
Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.
A liter of water contains about (first image) molecules. A certain river discharges about (second image) L of water every second. About how many molecules does the river discharge every minute? Write your answer in scientific notation.
================================================
Work Shown:
1 second = 2.3 * 10^7 liters of water
60*1 second = 60*2.3* 10^7 liters of water
60 seconds = 138 * 10^7 liters of water
1 minute = (1.38 * 10^2) * 10^7 liters of water
1 minute = 1.38 * (10^2*10^7) liters of water
1 minute = 1.38 * 10^(2+7) liters of water
1 minute = 1.38 * 10^9 liters of water
The river discharges 1.38 * 10^9 liters of water per minute.
--------------------------------
1 liter = 3.35 * 10^25 molecules
1.38 * 10^9*1 liter = 1.38 * 10^9*3.35 * 10^25 molecules
1.38 * 10^9 liters = (1.38*3.35) * (10^9*10^25) molecules
1.38 * 10^9 liters = 4.623 * 10^(9+25) molecules
1.38 * 10^9 liters = 4.623 * 10^34 molecules
1 minute = 4.623 * 10^34 molecules
-------------------------------
Every minute, about 4.623 * 10^34 molecules of water are discharged from the river.
A box contains 84 chocolates, of which 63 are dark chocolate. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box?
Answer:
21:84
Step-by-step explanation:
You subtract 63 from 84 and get 21. It then asks to compare it to the total number which it said was 84. It could be represented in a few ways:
21:84
21/84 (fraction)
Answer:
no.of milk chocolates:no. of total chocolate
1 : 4
Step-by-step explanation:
firstly we can take ratio as 21:84 Then, we can simplidy it dividing by 4 as following way,
21 : 84
4 4
then we can get 1 : 4 as the answer.