Step-by-step explanation:
number of men =12
time taken = 10 days
time taken to complete the work by 15 men = 12÷10=1.2
= 1.2 ×15 = 18
therefore, 18 days is taken to complete the work by 15 men
Andre and diego were each trying to solve 2x 6=3x-8 describe the first step they each make to the equation
The final answer after solving the given equation could be 14.
What is Linear Equation ?
Linear Equation can be defined as the equation in which the highest degree of the variable is one. Linear equations are generally three types , they are standard form , slope intercept form , point slope form and linear equation is also called as the equation of straight line.
Given,
Given equation,
2x + 6 = 3x -8
separating the value into a similar term:
2x-3x = -8 - 6
subtracting the equation:
-x = -14
remove negative sign:
x = 14
Therefore , the final answer could be 14.
To learn more about the Linear Equation from the given link.
brainly.com/question/12788590
#SPJ4
does the point (2, 8) satisfy the equation y = 4x?
The point satisfies the equation ! 8 = 4 × (2)
Answer:
Yes
Step-by-step explanation:
If you plug in the numbers to the equation, you should get:
8 = 4(2)
Then,
8 = 8
therefore, (2,8) does satisfy the equation y = 4x.
Similar figures review - Question 1
For a house that have a height of 6 meters and length of 4.5 meters. On a scale drawing if the height of the house is 30 mm the length of the house will be 22.5 mm
What is proportions?In general, the term proportion refers to a part, share, or amount that is compared to a whole.
According to the definition of proportion, two ratios are in proportion when they are equal.
How to find the length of the houseThe length of the house on the map is calculated using equality in proportions as follows
The required proportion is
= height of the house / length of the house
= 6 / 4.5
= 4/3
Using this proportion, the length of the house in the drawing is
= 30 mm / 4/3
= 22.5
Learn more about proportions at:
https://brainly.com/question/29786310
#SPJ1
MODELING REAL LIFE The volume of a sphere is given by the equation $V=\frac{1}{6\sqrt{\pi}}S^{3/2}$ , where $S$ is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter, that has a surface area of 60 square meters. Use 3.14 for $\pi$ .
The volume of the water walking ball is 43.71 m³
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r2. The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle
Given :
[tex]$V=\frac{1}{6\sqrt{\pi}}S^{3/2}$[/tex] and surface area of water walking ball is 60 m²
putting the values in the equation we get
V= 464.758/10.632
V=43.71
Hence, the volume of the water walking ball is 43.71 m³
Learn more about the volume of a sphere here:
https://brainly.com/question/2855746
#SPJ1
David invested $220 in an account paying an interest rate of 1. 7% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest ten dollars, would be in the account after 10 years?
David's deposit of $220 compounded continuously at a rate of 1.7% will become $260 after 10 years.
Here we have been given that David invested $220.
The interest rate was 1.7%
Since the amount was compounded continuously, there is no fixed date of when it was compounded, the whole process is taken as an exponential distribution.
There were no withdrawals or additional deposits to this, so our Principal is constant. Hence we can write the formula
Amount = Principal X eᵃˣ
where a = rate of interest/100
x = time
Therefore, we can say that
Ampunt after 10 years = 220 X e¹⁰ ˣ ⁰°⁰¹⁷
= $260.76707
rounding off to the nearest 10 dollars we get
= $260
Hence David's deposit of $220 compounded continuously at a rate of 1.7% will become $260 after 10 years.
To learn more about Compound Interest visit
https://brainly.com/question/19522540
#SPJ4
The radius of a circle is 4 kilometers. What is the circumference?
Answer:
25.12 kilometers
Step-by-step explanation:
[tex]c = 2\pi \: r[/tex]
C = 2 × 3.14 × 4
C = 25.12
As n ranges over the positive integers, what is the maximum possible value for the greatest common divisor of 11n 3 and 2n 1
The maximum possible value for the greatest common divisor (GCD) of 11n + 3 and 2n + 1 as n ranges over the positive integers is 1.
The GCD of two integers is the largest integer that divides both integers without leaving a remainder. We can use the Euclidean algorithm to find the GCD of two numbers.
The Euclidean algorithm states that for two integers a and b, we can find the GCD of a and b by repeatedly applying the following steps:
Divide a by b to get a quotient q and a remainder r
Replace a with b and b with r
Repeat the process until r is 0
If we apply this algorithm to 11n + 3 and 2n + 1, we get the following:
GCD(11n+3, 2n+1)
As 11n + 3 = 3(2n + 1) + 5n
= GCD(2n+1, 5n )
As 2n + 1 = (2/5)(5n) + 1
= GCD(5n, 1)
= GCD(1, 0)
= 1
So as n ranges over the positive integers, the maximum possible value for the GCD of 11n + 3 and 2n + 1 is 1.
To know more on Euclidean algorithm
https://brainly.com/question/13266751
#SPJ4
Consider the polynomial function ( x + 3 ) ( x + 9 ) ( x - 6 ) = 0 Which of the following are zeros of the function? Select all that apply.
How do you verify inverse?
To verify the inverse we can use Horizontal Line Test.
Suppose F is a function.
F does not have an inverse if any horizontal line crosses the graph of f more than once. If no horizontal line crosses the graph of F more than once, then F does have an inverse. In mathematics, having an inverse is a very significant quality, and it has a name.
If and only if a function f has an inverse, then it is one-to-one. The following definition, which is also the one that is most frequently used, is equivalent. If f(a) = f(b) implies a = b for all a and b in its domain, then a function f is one-to-one.
To learn more about inverse here:
https://brainly.com/question/2541698
#SPJ4
Please answerrr. Ill give a branliest
Answer:
25 [tex]cm^{2}[/tex]
Step-by-step explanation:
The others are squares as well, meaning each of the sides are equal.
The square root of 144 is 12, meaning the side of the red square is 12.
169's square root is 13, meaning the hypotenuse of the center triangle is 13.
Now that we have a side and the hypotenuse, we can use Pythagorean theorem to find out the final side.
12^2 + x = 13^2
[tex]12^{2} + x^{2} =13^{2} \\144 + x^{2} = 169\\x^{2} = 25\\x = 5[/tex]
Now that we have the side, let's just square it to find the area.
[tex]5 * 5 = 25[/tex]
help me answer this question??
Part (i)
The square has area of 12*12 = 144 square meters. From that, we carve out four quarter-circles from each corner, as the diagram shows. Imagine that we rearranged the quarter circles so that they would then form a full circle. This circle would have radius 6 (half of the 12 meters), so the area of the circle is pi*r^2 = pi*6^2 = 36pi exactly
The four white sections combine to an exact area of 36pi, which approximates to 36*3.14 = 113.04 square meters. Use more decimal digits in pi to get a better approximation.
Exact answer: 36pi square meters
Approximate answer: 113.04 square meters (when using pi = 3.14)
=======================================================
Part (ii)
Once we know what the white sections combine to, we can subtract that area from the total overall area of 144 m^2
We end up with 144 - 36pi as the exact area of the red section
This approximates to 144 - 36*3.14 = 30.96 m^2
Exact answer: 144 - 36pi square meters
Approximate answer: 30.96 square meters (when using pi = 3.14)
Which expression is negative?
Answer:
B
Step-by-step explanation:
since the value is above 1 and your subtracting 1 to drop the value below the 0 point below making it negative.
SHOW YOUR WORK 256 divided by 6400
The height of males aged between 17 and 20 follows a normal distribution, with a mean of 71.1 inches and a standard deviation of 2.3 inches.
If the number of males between ages 17 and 20 is 11.0 million, how many males in this age group have heights between 69 inches and 73 inches?
A)3.6 million
B)4.1 million
C)6.8 million
D)9.7 million
Answer:
B
Step-by-step explanation:
Mark as Brainliest
Which fraction is equivalent to fraction with numerator 6 and denominator negative 8 ? (5 points)
fraction with numerator negative 8 and denominator 6
fraction with numerator negative 6 and denominator 8
fraction with numerator negative 6 and denominator negative 8
fraction with numerator 8 and denominator 6
Answer:
A fraction is a mathematical expression that represents the division of two numbers, called the numerator and the denominator. The numerator represents the number of parts being considered, while the denominator represents the number of parts in the whole. A fraction with a numerator of 6 and a denominator of negative 8 can be simplified to -3/4. To find an equivalent fraction, we can multiply or divide both the numerator and denominator by the same number without changing the value of the fraction. In this case, the fraction with a numerator of negative 8 and a denominator of 6 is equivalent to -4/3.
Step-by-step explanation:
A positive and negative Angel that is coterminal with 70 degrees
Can someone please help me with this?
When solving the following system of equations, the x in the first equation would be the easiest to solve for.
How to solve the equation?Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the provided equations on a graph and locate the point(s) where they all cross to solve a problem by graphing. You may find the values of the variables you are working for by finding the location of this point.
The result of the first equation is
x + 6y = 25
we can easily solve for x by subtracting 6y from both sides we have
x + 6y - 6y = 25 - 6y
x - 25 - 6y
So, the first equation's x term can be simply solved.
When solving the following system of equations, the x in the first equation would be the easiest to solve for.
To learn more about system of equations refer to:
https://brainly.com/question/29273511
#SPJ1
What is the simplified form of this expression?
(-3x2 + 2x − 4) + (4x2 + 5x + 9)
7x2 + 7x + 5
x2 + 7x + 5
x2 + 7x + 13
x2 + 11x + 1
Answer:
x² + 7x + 5
Step-by-step explanation:
(- 3x² + 2x - 4) + (4x² + 5x + 9)
since both parenthesis are being multiplies by 1 , remove parenthesis
= - 3x² + 2x - 4 + 4x² + 5x + 9 ← collect like terms
= (- 3x² + 4x²) + (2x + 5x) + (- 4 + 9)
= x² + 7x + 5
: ) thank you for your help , 30 points
'The leangth of the shortcut is: '
guessing- '75'
Hope this helps!
Solve for x please I need help
Answer: picture wont seem to load, maybe try again
Step-by-step explanation:
Answer:
x = 7.9
Step-by-step explanation:
Sin = Opposite over Hypotenuse
Thus, [tex]sin(21)=\frac{x}{22}[/tex]
* multiply each side by 22 *
[tex]\frac{x}{22} *22=x\\22sin(21)=7.9[/tex]
we're left with x = 7.9 ( rounded )
Help please.
I've seen a bunch of different answers but none of them are the same.
The statement whether each data set is likely to be distributed nor not:
Number of minutes required to complete a marathon - Yes.
Number of miles in a marathon: - No.
Average age of a person who runs a marathon: No.
What is a distribution?The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.
Let n miles in marathon.
To normally distribute, number of minutes required to complete a marathon:
The number of minutes required to complete a marathon is likely to be normally distributed with small amounts in tails (very slow, very fast) and large amount in middle.
So, yes.
To normally distribute, number of miles in a marathon:
The number of miles is a fixed number, not normally distributed.
So, no.
To normally distribute, average age of a person who runs a marathon:
The average age is a fixed number
Average age is not likely to be normally distributed.
So, no.
Therefore, the first one is yes, and the other two are no.
To learn more about the distributions;
https://brainly.com/question/29062095
#SPJ1
use a table to organize your guesses
A jar is filled with 100 coins, all of which are nickels and dimes. The change in the jar is worth $6.75. How many coins are nickels, and how many are dimes?
Answer:
35 dimes and 65 nickels
Step-by-step explanation:
We will need use a system of equations to find the total number of nickels and dimes.
Because there are 100 dimes and there are only nickels and dimes, one equation is N + D = 100, where N is the total number of nickels and D is the total number of dimes.
Because a dime is worth $0.10, a nickel is worth $0.05, and the total change in the jar is worth $6.75, the second equation is 0.05N + 0.1D = 6.75
Substitution will be the easiest method to solve:
[tex]0.05N+0.1D=6.75\\N+D=100\\\\N=-D+100\\\\0.05(-D+100)+0.1D=6.75\\-0.05D+5+0.1D=6.75\\0.05D+5=6.75\\0.05D=1.75\\D=35\\\\N+35=100\\N=65[/tex]
Question 2 of 15
Select the table that represents a linear function (Graph them if necessary)
OA
0123
1437
8 x 0
-
012
#2
203
23
24816
2
m
19
1125
A college biology lab selected 65 women and 65 men at random and recorded their body temperatures (in degrees Fahrenheit). The distributions of their temperatures are shown below.Which statement gives an accurate comparison of the body temperatures of women and men shown?
Question 5 options:
1.)The mean body temperature for women is less than for men and women's temperatures vary more than men's temperatures.
2.)The mean body temperature for women is greater than for men and women's temperatures vary less than men's temperatures.
3.)The mean body temperature for women is less than for men and women's temperatures vary less than men's temperatures.
4.)The mean body temperature for women is greater than for men and women's temperatures vary more than men's temperatures.
Answer: Choice 2
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST PART 1
Answer:
Q1 : [tex]\frac{5}{8}[/tex]
Q2: [tex]\frac{2}{3}[/tex]
Q3: [tex]\frac{11}{12}[/tex]
Q4: [tex]\frac{4}{5}[/tex]
Q5: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
Q1. [tex]\frac{5}{8}[/tex]
Q2. [tex]\frac{2}{3}[/tex]
Q3. [tex]\frac{11}{12}[/tex]
Q4. [tex]\frac{4}{5}[/tex]
Q5. [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Q1.
[tex]\sqrt{\frac{25}{64}}[/tex] ⇒ [tex]\frac{\sqrt{25}}{\sqrt{64}}[/tex] = [tex]\frac{5}{8}[/tex]
Q2.
[tex]\sqrt{\frac{36}{81}}[/tex] ⇒ [tex]\frac{\sqrt{36}}{\sqrt{81}}[/tex] = [tex]\frac{6}{9} = \frac{2}{3}[/tex]
Q3.
[tex]\sqrt{\frac{121}{144}}[/tex] ⇒ [tex]\frac{\sqrt{121}}{\sqrt{144}} = \frac{11}{12}[/tex]
Q4.
[tex]\sqrt{\frac{64}{100}}[/tex] ⇒ [tex]\frac{\sqrt{64}}{\sqrt{100}} = \frac{8}{10} = \frac{4}{5}[/tex]
Q5.
[tex]\sqrt{\frac{4}{9}}[/tex] ⇒ [tex]\frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}[/tex]
6th grade math help me please and thank you... IF YOU PUT A LINK DO EXPECT TO GET REPORTED anyways.. have a good day my luvs <3
What are the steps I need to solve this problem?
2x + 5 = 21
subtract 5 from each side, then divide by 2 on each side
divide by 2 on each side, then subtract 5 from each side
subtract 5 from each side, then subtract 2 from each side
subtract 21 from each side, then divide by 2 on each side
what if 5464x43214x-532
Answer:
-1.256165295×10×10×10×10×10×10×10×10×10×10×10
Step-by-step explanation:
negative changes everything
Maisie walked for 4 hours at an average speed of
1.6 miles per hour (mph).
How many miles did Maisie walk?
If your answer is a decimal, give it to 1 d.p.
Answer: Maisie walked 6.4 miles.
Step-by-step explanation:
Since Maisie is walking at a constant pace of 1.6 miles per hour we can set up the following equation:
y = 1.6(x)
In this equation, Y is the number of miles Maisie walked in total and X is the number of hours she walked. All we have to do is plug in 4 hours as x and solve.
y = 1.6(4)
y = 6.4 miles.
NEED HELP ASAP, WILL GIVE BRAINLY TO BEST ANSWER
Answer:
58 degrees
Step-by-step explanation:
The answer is 58 degrees.
180 degrees in a triangle, subtract the angles of 65 and 57, you get 58 degrees.
180 - 57 -65 = 58
c) The ratio between an exterior angle and an interior angle of a polygon is 1:5.
i) Find the magnitude of an exterior angle.
ii) How many sides are there in this polygon?
Answer:
30° and 12
Step-by-step explanation:
The sum of the exterior angle and the interior angle = 180°
sum the parts of the ratio, 1 + 5 = 6 parts
Divide 180° by 6 to find the value of one part of the ratio
180° ÷ 6 = 30° ← value of 1 part of the ratio
(i)
The exterior angle = 30°
(ii)
The sum of the exterior angles of a polygon is 360°
To find the number of sides n divide 360 by 30 , that is
n = 360 ÷ 30 = 12