Answer:
16
Step-by-step explanation:
8/2(2+2)
4(2+2) or 4(4)
8+8 or 16
16=16
Hope this helps :) ❤
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consist of 3 women and 1 man
Answer:
70 possible groupsStep-by-step explanation:
Given the total number of employee to be equal to 12 temporary employee.
Number of women employee = 5 women
Number of men employee = 12 - 5 = 7 men
If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.
Combination has to do with selection. For example, if r objects are to be selected from n pool of similar objects, this can be done in nCr different ways.
[tex]nCr = \frac{n!}{(n-r)!r!}[/tex]
According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .
[tex]5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups[/tex]
y=(x+9)÷(x-3)
Find the value of y when x=5
Answer:
7
Step-by-step explanation:
Simply plug in 5 for x
y = (5 + 9)/(5 - 3)
y = 14/2
y = 7
Answer:
y=(5+9)÷(5-3)
y =14÷2
y=7
5. The monthly rent of a flat in New Delhi is 32 860 rupees.
How much is this in euros?
1
Answer:
386.11
Step-by-step explanation:
32,860=€386.11
Raven earns extra money when her neighbors are on vacation. Raven is paid $12 per day when she cares for the Martin family's cat. She paid $5.50 per day when she waters the Clark Family's pants.Write and simplify an expression to represent how much Raven earns if she performs both jobs for n days. Explain what the simplified expression means.
Answer:
12n + 5.50
Step-by-step explanation:
Since 12 represents how much money she gets paid from the Martin's family: the 'n' is the variable which stands for each day because we don't kknow how many days she watches the cat but when we multiply the 12 by the 'n', we get the days. We add an additional 5.50 because she has a side job as well with the Clark's family. which is how you get 12n+5.50
Jaya agreed to give matt a loan for $80 but she’ll also be charging him 8% interest.How much will he have to pay her back
Answer:
Step-by-step explanation:
Let organise our information :
Jaya will charge Matt an 8 percent interest for 80 dollars loanwe can say that :
80 dollars⇒ 100 percentx ⇒ 8 percent
so :
x =( 8*80 )/ 100= 6.4
so the interest is 6.4 dollars
so the total cost is 86.4
Each side of a regular pentagon is m + 10 inches. The formula for finding the perimeter of the pentagon is shown below. P = 5 (m +10) Which equation shows this formula solved for m? A. M = P − 5 / 10 B. M = 5P − 50 C. M = P − 50 / 5 D. M = P/5 − 50
Answer:
m = p/5 -10
m= (p-50)/5
Step-by-step explanation:
What we practically want to here is to make m the subject of the formula.
Start by opening the brackets
P = 5m + 50
P-50 = 5m
Divide through by 5
(P-50)/5 = m
P/5 -50/5 = m
P/5 -10 = m
The option that looks probable is C ; M = (P-50)/5
Answer:
D.) m=P−505
Step-by-step explanation:
Zia was driving his truck on the super highway. His speed was recorded by the motorway camera between 6:00am to 8:30am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.
Answer: 100km/hr
Step-by-step explanation:
From the question, we are told that Zia was driving his truck on the super highway and his speed was recorded by the motorway camera between 6:00am to 8:30am and that he covered a distance of 250km during this time.
Average speed is calculated as distance taken divided by the time used. The time used in this question will be: 8.30am - 6:00am = 2.5 hours.
Speed = Distance/Time
= 250/2.5
= 100km/hour
18 dogs are in a dog show the number of dogs in the show. The number of dogs in the show was 6 times the number of handlers how many handlers are in the show
Answer:
H = 3 handlers
There are 3 handlers in the show.
Step-by-step explanation:
Given;
Number of dogs in the show N = 18 dogs
Number of handler in the show H;
The number of dogs in the show was 6 times the number of handlers
N = 6H
H = N/6
Substituting the value of N;
H = 18/6
H = 3
There are 3 handlers in the show.
Answer:
H = 3 handlers
Step-by-step explanation:
The number r is irrational. Which statement about r+7 is true? r+7 is rational r+7 is irrational r+7 can be rational or irrational depending on the value of r
Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
can you pls help thank you
Answer:
not a function
Step-by-step explanation:
This is not a function. For the value x =2 there are two different y values
To be a function each value of x has only one value for y
This would also fail the vertical line test
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)
Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex].
Therefore the line passing through (2, 4) and (4, -2) has an equation:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10[/tex]
Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10
Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:
[tex]m_1m_2=-1[/tex].
Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:
[tex]m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}[/tex]
Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:
[tex]\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x[/tex]
the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is [tex]y=\frac{1}{3}x[/tex]
Answer:
I believe the answer is A. y = 1/3x
Step-by-step explanation:
Acollus
Find the value of x that makes All B.
2
4
5
Z1 = 3x - 160 and 24 = x + 20
x = [?]
Answer:
x = 90°
Step-by-step explanation:
A // B
When two parallel lines are crossed by a transversal, the angles in matching corners are called corresponding angles and they are equal.
∠1 = ∠ 4
3x - 160 = x + 20
Add 160 to both sides
3x - 160 + 160 = x + 20 + 160
3x = x + 180
Subtract x from both sides
3x - x = x -x +180
2x = 180
Divide both sides by 2
2x/2 = 180/2
x = 90
Larry spent a total of $\$64.24$ on four books. If each book cost the same amount, how many dollars did each book cost? Express your answer as a decimal.
Step-by-step explanation:
[tex]64.24 = 4x \\ \frac{64.24}{4} = \frac{4x}{4} \\ 16.06 = x[/tex]
so one book is $16.06
PLEASE ANSWER WILL MARK BRAINLIEST!!!!!!In which scatterplot is the vertical line placed correctly when using the divide-center method to find the regression line? On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 7 points to the left of the line, and 3 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 4 points to the left of the line, and 6 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 6 points to the left of the line, and 4 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 5 points to the left of the line, and 5 points to the right.
Answer:
Answer Would Be D.
Step-by-step explanation:
There is an even amount of dots on each side of the divider.
Answer:
It is D~~
Step-by-step explanation:
If we were to imagine the trend line and draw a oval around it and then draw a line in the middle, then D would be correct.
btw sorry if this answer... is like... too late. o_o
Tom used twenty gallons of water to
water his plants for x days. After x
days, he used an additional forty
gallons of water for a day on his pants.
Write an expression that shows how
the total gallons of water Tom used on
his plants.
Answer:
y=20x + 40x
Step-by-step explanation:
Answer:
y=20x+40
Step-by-step explanation:
y represents how many gallons of water he used
x represents the amount of days
(example) if he watered his plants for 2 days:
y=20(2)+40
y=40+40
y=80
if he watered his plants for 2 days he would have used 80 gallons of water.
if this helped please rate, thanks, and mark brainliest :)
What is the volume of the cone below?
A. 5112 units 3
B. 3408 units 3
C. 852st units 3
D. 10,2247 units 3
Answer:
V =3408 pi units^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h
The radius is 12 and the height is 71
V = 1/3 pi (12)^2 *71
V =3408 pi units^3
Answer:
B
Step-by-step explanation:
Use the formula for the volume of a cone.
v = 1/3πr²h
r = 12
h = 71
v = 1/3π(12)²(71)
v = 1/3π(10224)
v = 3408π
help me plsss guys x
Answer:
B. 2/6
Step-by-step explanation:
A fair ordinary dice has 6 sides.
The numbers 4 or 5 on the dice are 2 numbers out of 6 total numbers.
2/6
Answer:
B. 2/6
Step-by-step explanation:
A ordinary dice has 6 sides.
4 and 5 make 2 sides.
So the answer will be 2/6
PLEASE HELP use trigonometry to solve for a missing angle x of the right triangle
Answer:
x = 80°
Step-by-step explanation:
from SOH CAH TOA
we are going for TOA
where TOA => Tan x = Opposite side of the Angle
Adjacent Side of The Angle
Tan x = 27500
5000
Tan x = 5.5
x = Tan⁻¹ 5.5
or
= arctan 5.5
= 79.70°
≈ 80°
Answer:
x = 80°
Step-by-step explanation:
Find the measure of angle R.
Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis and (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis. Use exact numbers. y-9=y−9=y, minus, 9, equals
Answer:
y-9 = 17(x+7)Step-by-step explanation:
Given the points (-8, -8) and (-7, 9), the general form of equation of the line passing through this point is expressed as y-y1 = m(x-x1) where;
m = slope or gradient and (x1, y1) is the point
m = Δy/Δx = y₂-y₁/x₂-x₁
m = 9-(-8)/-7-(-8)
m = 17/1
m = 17
The slope of the line is 17.
The point-slope equation of the line through the point (-7, 9) is expressed as
y-9 = 17(x-(-7))
y-9 = 17(x+7)
Are the area of a square and the length of its side directly proportional quantities?
Answer:
Not directly proportional
Yes, The area of a square and the length of its side is directly proportional to each other.
A statement is to justify that the area of a square and the length of its side are directly proportional quantities?
What is a square?A Square is 4 sides geometric shape that has an equal length of sides and always has 90° at its vertices.
Here the area of square = a^2
Where a is the side of the square,
understand by, either way, let we have two square 1 with side 1cm and other with side 2cm.
Now the area of both the squares is 1 and 4 square cm. So area will increase if the length of this side increases or vice versa.
Thus, Yes, The area of a square and the length of its side is directly proportional to each other.
Learn more about squares here:
https://brainly.com/question/14198272
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Solve for rrr: \dfrac{7}{10}=r-\left(-\dfrac{8}{5}\right) 10 7 =r−(− 5 8 )start fraction, 7, divided by, 10, end fraction, equals, r, minus, left parenthesis, minus, start fraction, 8, divided by, 5, end fraction, right parenthesis r =r=r, equals
Answer:
r = -9/10
Step-by-step explanation:
Given
7/10 = r - (-8/5)
Required
Solve for x
7/10 = r - (-8/5)
We start by opening the bracket
7/10 = r + (- -8/5)
7/10 = r + (8/5)
7/10 = r + 8/5
Subtract 8/5 from both sides
7/10 - 8/5 = r + 8/5 - 8/5
7/10 - 8/5 = r
Solve the fraction by taking their LCM
(7 - 16)/10 = r
-9/10 = r
Reorder the above
r = -9/10
Hence, the value of r is -9/10
Answer:
4(− 5/7 )
Step-by-step explanation:
Divide up the number 60 in 2:3:5 ratio.
Answer:
Step-by-step explanation:
Please help. I don't understand how to solve this problem.
Answer:
BF=16
Step-by-step explanation:
To find BF, (I will be calling it x) you need to use the equation
CF/FB=CE/EA Substitute
FB=x
24/x=18/12 cross multiply
18x=288 divide both sides by 18
x=16
FB=16
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.
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Keenan buys an embroidery machine for $1,400. He uses it to embroider
T-shirts. His total profit in dollars from selling the T-shirts is represented with
the function f(x) = 12x - 1,400. When the machine breaks, he pays $135 to
have it fixed. How does that cost affect a graph of Keenan's profit function?
Answer:
the graph shift down 135 units
Step-by-step explanation:
when there is no fixing cost:
f(x)=12x-1400
when there is fixing cost (0ne time): 12x-(1400+135)
the graph shift down 135 units
Those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).
Since Keenan buys an embroidery machine for $ 1,400, and he uses it to embroider T-shirts, and his total profit in dollars from selling the T-shirts is represented with the function f (x) = 12x - 1,400, and when the machine breaks, he pays $ 135 to have it fixed, to determine how does that cost affect a graph of Keenan's profit function, the following mathematical analysis must be performed:
Keenan's fixed expense is 1,400, which is the value of the embroider, and which must be considered when evaluating profit or loss from business operations.Thus, 1400 must be divided by the total number of T-shirts sold, to determine the cost per product sold.Therefore, those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).
Learn more in https://brainly.com/question/15853856
Which expression is equivalent to One-fourth minus three-fourths x? One-fourth (1 + 3 x) One-fourth (1 minus 3 x) One-fourth (negative 1 + 3 x) 4(1 + 3x)
Answer:
1/4(1 - 3x)
Step-by-step explanation:
Step 1: Write out expression
1/4 - 3/4x
Step 2: Factor out GCF
1/4(1 - 3x)
Answer:
B. 1/4(1-3x)
Step-by-step explanation:
a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3
Answer:
a. 1/12 (hope it help)
Step-by-step explanation:
5sec/60sec=1/12
Solve for the value of x 3x + 8 = 2
Answer:
-2
Step-by-step explanation:
Answer: x = -2
Step-by-step explanation:
3x + 8 = 2
3x = -6
x = -2
define the type of sequence 7, 14, 28, 56, 112
Answer:
This is a geometric sequence.
You are walking near a river. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and measure an angle of 77° between A and C. The distance between A and B is about 1.5 miles. How wide (in miles) is the river between A and C? Round your answer to the nearest tenth.
Answer:
Length of AC = 6.67 miles
Step-by-step explanation:
Given:
Angel between B and C = 90°
Angel between A and C = 77°
AB = 1.5 miles
Find:
Length of AC
Computation:
Using trigonometric laws
Cos 77° = Base / hypotenuses
0.225 = 1.5 / hypotenuses
hypotenuses = 6.67 miles
Length of AC = 6.67 miles