Answer:
he has to run another 1/3 of the race for it to equal 6 kilometer all together
Step-by-step explanation:
hope this helps
2 3/5 ÷ 2/3
3 9/10
2 9/10
1 11/15
1 4/5
Answer:
Solving the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex] we get [tex]\mathbf{3\frac{9}{10}}[/tex]
Option A is correct.
Step-by-step explanation:
We need to solve the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex]
We need to divide both the terms.
Solving:
[tex]2\frac{3}{5}\div \frac{2}{3}[/tex]
First we will convert the mixed fraction into improper one
[tex]\frac{13}{5}\div \frac{2}{3}[/tex]
Now, we will convert division sign into multiplication, the term 2/3 is reciprocated
[tex]\frac{13}{5}\times \frac{3}{2}[/tex]
Now, multiply numerator with numerator and denominator with denominator
[tex]\frac{39}{10}[/tex]
Now, we will convert into mixed fraction
[tex]3\frac{9}{10}[/tex]
So, Solving the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex] we get [tex]\mathbf{3\frac{9}{10}}[/tex]
Option A is correct.
The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?
Answer:
The total number of employees is 377.
Step-by-step explanation:
1. You divide total number of women (232) by the ratio of women. (8)
232/8 =29
2. You take 29 and multiply it by the amount of men in the ratio. (5)
29*5=145
3. Finally you just add the total amount of men (145) and the total amount of women. (232)
232+145=377
I hope this helps!
I tried to explain to the best of my ability.
Answer: 377 employees
Step-by-step explanation:
The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.
[tex]\frac{5}{8}= \frac{x}{232}[/tex] After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.
Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company
The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes through
the point (-10, 4). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.
Answer:
Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]
Step-by-step explanation:
Equation of line t : y = -2x + 9.
We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)
The equation must be in slope-intercept form.
The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
Finding Slope:
If two lines are perpendicular, their slopes are opposite i.e [tex]m=-\frac{1}{m}[/tex]
Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)
Slope of line u: [tex]\frac{1}{2}[/tex]
So, we get Slope of line u: m= [tex]\frac{1}{2}[/tex]
Finding y-intercept:
Using slope m= [tex]\frac{1}{2}[/tex] and point(-10,4) we can find y-intercept
[tex]y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9[/tex]
Equation of line u:
So, equation of line u, having slope m= [tex]\frac{1}{2}[/tex] and y-intercept b=9, we get:
[tex]y=mx+b\\y=\frac{1}{2}x+9[/tex]
So, Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]
helpppppppppppppppppppppp
Answer:
(A) Mean
(B) Mean
(C) Mode
Hope this helps!
And hit Brainlest if ya want! ;))
Roxie is picking out some movies to rent, and she is primarily interested in horror films and foreign films. She has narrowed down her selections to 20 horror films and 8 foreign films. How many different combinations of 3 movies can she rent if she wants at least two horror films?
Answer:
She has 2,660 combinations
Step-by-step explanation:
Here, we want to calculate the number of different combinations of 3 movies that can be rented
The condition is at least two horror movies
What this means is that she can select 2 or 3 horror movies
if two horror movies, then 1 foreign film
The combination is as follows;
20 C 2 * 8 C 1
= 190 * 8 = 1,520
If she is selecting 3 horror movies, then no foreign film will be selected
Number of ways this can be done is;
20 C 3 = 1,140
So the
number of different combinations would be;
1,140 + 1,520 = 2.660
The model of a 1955 Ford Thunderbird has a scale factor of 1/24. if the model of the car is 7 inches long how long is the actual car in feet?
Answer:
14
Step-by-step explanation:
Can anyone solve this? And I’d appreciate if you explain how to do it.
EMERGENCY HELP PLEASE
Answer:
11x+21
Step-by-step explanation:
blue square= x squared
green square=3x
pink square=7x
orange square=21
=
11x+21
Find the simple interest paid on a deposit of $225 at a rate of 1.5% over 2 years.
Answer:
$6.75
Step-by-step explanation:
Interest = [tex]\frac{1.5}{100}[/tex] × 2 × $225
= $6.75
Determine if the following are in proportion :
32 , 48 , 140 , 120.
Step-by-step explanation:
The given numbers are : 32 , 48 , 140 , 120
First number is 32
Second number is 48
Third number is 140
Fourth number is 120
First number/second number :
[tex]\dfrac{N_1}{N_2}=\dfrac{32}{48}\\\\=\dfrac{2}{3}\ ....(1)[/tex]
Third number/Fouth number :
[tex]\dfrac{N_3}{N_4}=\dfrac{140}{120}\\\\=\dfrac{7}{6}\ ....(2)[/tex]
From equation (1) and (2) we can see that the ratio is not same. Hence, they are not in proportion.
Classify the following as either a discrete random variable or a continuous random variable.
The amount of time six randomly selected volleyball players play during a game.
Is it: Discrete or Continuous
Answer: continuous random variable.
Step-by-step explanation:
A discrete random variable is defined as a random variable which consists of countable number. Examples include numbers of shoes, number of sales etc.
A continuous random variable is a random variable whereby the data can take several values. It is a random variable that takes time into consideration.
Therefore, the amount of time six randomly selected volleyball players play during a game will be a continuous random variable since time so involved.
The moon is about 382,500km away from Earth. This distance actually varies by about 22,500km. What are the maximum and minimum distances to the moon?
Answer:
The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km
Step-by-step explanation:
The maximum distance is found adding the variation.
The minimum distance is found subtracting the variation.
We have that:
Distance: 382,500 km
Variation: 22,500 km
So
Maximum distance: 382500 + 22500 = 405,000 km
Minimum distance: 382500 - 22500 = 360,000 km
The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km
The volume of a rectangular prism can be modeled by the expression 4x3 - 108.
Find expressions for the dimensions of the prism by factoring, Write dimensions in box.
Answer:
4(x - 3)(x^2 + 3x + 9)
Step-by-step explanation:
4x^3 - 108 = 4(x^3 - 27), or
4(x^3 - 3^3), or
4(x - 3)(x^2 + 3x + 9)
We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.
Please help............
Answer:
x = 8.4
Step-by-step explanation:
In a right triangle, an angle, the length of its adjacent side and the length of the hypotenuse can be related by the cosine.
In this question:
Angle of 40º.
Adjacent side of x, hypotenuse of 11. So
[tex]\cos{40} = \frac{x}{11}[/tex]
Using a calculator, we have that [tex]\cos{40} = 0.766[/tex]. So
[tex]x = 11*0.766 = 8.4[/tex]
The answer is x = 8.4
6 min to 1 hour
as a fraction in simplest form
Step-by-step explanation:
[tex]1 \: hour \: = 60 \: min \\ \\ \frac{6}{60} = \frac{1}{10} \\ [/tex]
Answer:1/10
Step-by-step explanation:
Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.
To find: How many pounds of type A coffee were used.
Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.
Then, according to question,
[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]
Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get
[tex]4.15x+5.25(4x)=980.85[/tex]
⇒[tex]4.15x+21x=980.85[/tex]
⇒[tex]25.15x=980.85[/tex]
⇒[tex]x=\frac{980.85}{25.15}[/tex]
⇒[tex]x=39[/tex]
Therefore, 39 pounds of type A coffee were used.
Evaluate the following logarithm 3/4log16
Solve the
right triangle
Answer:
x= 7.41 (3 s.f.)
y= 9.53 (3 s.f.)
∠B= 51°
Step-by-step explanation:
Please see the attached picture for the full solution.
Finding the slope of a line.
which of the following are functions.
Answer:
Graph ii and iii
Step-by-step explanation:
In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.
help me out please. what is 5 ÷ 9/10 ?
Which of the following is a solution to the system of two equations 4x + y = 51 and 2x – 6y = 6?
Answer:
The solution to the system of equations given is:
y = 3x = 12Step-by-step explanation:
First, we must see our two equations given:
4x + y = 512x – 6y = 6We can use the reduction method, with this, we must eliminate a variable, in this case, de x variable, this can do multiply the equation 2 by (-2) and add the two equations:
(2x – 6y = 6)*(-2) = (-4x+12y = -12)3. -4x+12y = -12
Now, we operate the equations 1 and 3:
(4x + y = 51) + (-4x+12y = -12) = (13y = 39) "The variable x dissapears because 4x - 4x = 0"4. 13y = 39
We solve the equation 4 and obtain the value for "y":
13y = 39y = 39/13y = 3With the value of "y," we can replace this value in equation 1 or 2 to obtain the value of "x," in this case, we're gonna use the equation 1:
4x + y = 514x + 3 = 514x = 51 - 34x = 48x = 48/4x = 12In this form, we know the solution to the system of two equations is: x = 12 and y = 3.
14 POINTS! PLEASE HELP!!!!
Answer:
Do (8, -9) times 5 for both numbers
Step-by-step explanation:
Damian’s father purchases 8 notebooks for school. The total amount for the notebooks is $31.68.
How much does each notebook cost individually
Answer:
Each notebook costs $3.96 each.
3168 divided by 8 = 396
move the decimal two places left.
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Answer:
Each notebook costs $3.96
Step-by-step explanation:
We assume each notebook costs the same amount, the total cost is $31.68, and that is for 8 notebooks. So, we divide 31.68 by 8 and get our answer of $3.96 per notebook.
I hope this helps:)
Which explains why the graph is not a function?
5
4
3-
2+
O It is not a function because the points are not
connected to each other.
O It is not a function because the points are not related
by a single equation
It is not a function because there are two different x-
values for a single y-value.
O It is not a function because there are two different y-
values for a single x-value.
1 +
-5 -4 -3 -2 -11
1
2 3 4 5
X
-2
+
.
-3
-4
-5
Answer:
We conclude that it is not a function because there are two different y-values for a single x-value.
Hence, option D is true.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From the graph, we can determine the table such as:
x y
-2 -5
-1 3
1 -2
3 0
4 4
4 -2
It is clear that the values of x = 4, is repeated twice.
In other words, the input value x = 4 is duplicated.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.
Hence, option D is true.
What is the x and y value in -3x + y = 4 and -9x + 5y =-1
Answer:
y=291
Step-by-step explanation:
I did the math got 291.
Answer:
-9x + 5y =-1
x-intercept: ( 1 9 , 0 )
y-intercept: ( 0 , − 1 5 )
-3x + y = 4
x-intercept: ( − 4 3 , 0 )
y-intercept: ( 0 , 4 )
Find the equation of the line with slope of 4 and y-intercept of -3.
A. y = 1/4x - 3
B. y = -1/4x – 3. C. y = 1/4x + 3
D. y = 4x - 3
Answer:
y = 4x -3
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y ntercept
y = 4x -3
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.
Use 3.14 as an approximation for π .
Answer:
1,254 sqaure ft
Step-by-step explanation:
Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.
The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
Use the radius of the circle, 20/2 =10, to find the area of the circle:
A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.
The area of the triangle is:
A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568
The area of the shaded region equals the area of the triangle and subtracts the area of the circle.
This is approximately 1,568 - 314 = 1,254 square meters.
Hence, the correct answer would be an option (B).
Learn more about the area of the circle here:
brainly.com/question/19794723
#SPJ2
What is 3x-6+7y-4y plsssssssssss helpppppppp meeere
Answer:
3
+
3
−
6
Step-by-step explanation:
Two boats traveling the same direction leave a harbor at noon. After 3 hr they are 60 miles apart, if one boat travels twice as fast as the other find the average rate of each boat
Answer: The boat 1 moves with a speed of 40mi/h, and boat 2 moves with a speed of 20mi/h.
Step-by-step explanation:
First, we know the relation:
Distance = Speed*Time.
We can define the average rate of the boats as the average speed of the boats.
Now, we know that two boats travel in the same direction, let's define:
S₁ = speed of boat 1.
S₂ = speed of boat 2.
We know that one travels twice as fast as the other, then we can write:
S₁ = 2*S₂
We also know that after 3 hours of travel, they are 60mi apart, then if the slower one travelled a distance D in 3 hours, then:
S₂*3h = D
And the faster one will travel D + 60mi
S₁*3h = (D + 60mi)
Then we have the equations:
S₂*3h = D
S₁*3h = (D + 60mi)
We can replace S₁ by 2*S₂ to get:
S₂*3h = D
(2*S₂)*3h = (D + 60mi)
Now we have isolated D in the above equation, we can just replace it in the second equation to get:
(2*S₂)*3h = (S₂*3h + 60mi)
Now we can solve this for S₂
S₂*6h = S₂*3h + 60mi
S₂*6h - S₂*3h = 60mi
S₂*3h = 60mi
S₂ = 60mi/3h = 20mi/h
The speed of boat 2 is 20mi/h
And we knew that:
S₁ = 2*S₂
then:
S₁ = 2*(20mi/h) = 40mi/h