Answer:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
Step-by-step explanation:
Given the miles driven by the two salesman.
Mr Smith
128 , 150 , 118 , 85 , 166 and 25
[tex]\text{Average miles per day}=\dfrac{128+150+118+85+166+25}{6}=\dfrac{672}{6}\\=112$ miles per day[/tex]
Ms. Johnson
115,97,86,48,181 and 127
[tex]\text{Average miles per day}=\dfrac{115+97+86+48+181+127}{6}=\dfrac{654}{6}\\=109$ miles per day[/tex]
Therefore:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
[tex]112 \approx 110$ miles per day\\109 \approx 110$ miles per day[/tex]
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
110 X 250=27,500 miles
Simplify the expression below and explain your steps. x/2=x/8
Answer:
x2-x-8=0
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -1 .
-8 + 1 = -7
-4 + 2 = -2
-2 + 4 = 2
-1 + 8 = 7
A rectangular bathtub has a depth of 24 in., a width of 24 in., and a length of 60 in. If the tub is filled up to
3 inches below the top, how much water is in the tub?
Answer:
The amount of water is [tex]30,240in^3[/tex]Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism in the form of a bathtub.
Given data
depth of bathtub= 24 in
width of bathtub= 24 in
length of bathtub= 60 in
the volume of water in the bathtub is a function of the depth of water in relation with the dimension of the bathtub.
the depth of water is 3 in below the the top
hence the depth of water (24 in- 3 in)= 21 in
the expression for the volume of water is given as
[tex]volume= length* width*depth\\volume= 60*24*21=30,240in^3[/tex]
A can of 3 tennis balls sells for $2. If Sal spent more than $24 on tennis balls, which inequality can be used to find n, the number of tennis balls Sal could have bought?
A. 2/3n > 24
B. 3/2n > 24
C. 2n >24
D. 3n > 24
Answer:
the answer is A
Step-by-step explanation:
i went but the all the other answers in and it was left to A
Option A is the correct answer.
What is the cost of one item if the cost of m items is x?
The cost of one item is obtained by dividing the total cost of m items by the number of items.
Given
The total amount spent by Sal > $24,
cost of 3 tennis balls = $2.
Cost of n tennis balls
Divide the cost of three tennis balls by 3 to get the cost of one tennis ball, which is $2/3.
Let the number of balls bought by Sal be n, and P be the cost of n tennis balls.
Total amount spent by him, P = cost of one ball × number of balls bought = ($2/3) × n = $(2/3)n.
Obtain the inequality
Since the total amount spent by him > $24, using the above value of P we obtain,
$(2/3)n > $24.
The inequality to be used to find n is (2/3)n > 24.
Learn more about the amount calculation problem here
https://brainly.com/question/14196682
#SPJ2
A cake recipe calls for 40 milliliters of water for every 20 milliliters of cooking
oil. How many milliliters of water are needed if 50 milliliters of cooking oil
were used?
O A) 25 ml
OB) 100 ml
O C) 200 ml
OD 1,000 ml
Answer:
B
Step-by-step explanation:
20x2 is 40, so 50x2 is 100
Answer:
BBBBBBBBBBBBBBBB
Step-by-step explanation:
It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed? Round to nearest hundredth.
Answer:
9.3 acres per pound
Step-by-step explanation:
93/10
CAN SOMEONE HELP OVER HERE LOL PLEASE HELPPPPP Solve the inequality. -3/4y less than 9. The solution set is ?
Answer: y<-12
Step-by-step explanation:
[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.
[tex]y>-12[/tex]
You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].
PLS HELP IF U HAVE THE WORK PLS ADD I RLLY NEED HELP THANK YOU ITS OK IF U DONT KNOW ALL OF THEM BUT MORE THAN 5 WILL HELP A LOT
What is the square root of m^6?
M^2
M^3
M^4
M^5
Answer:
m³
Step-by-step explanation:
√m⁶=m⁶/²=m³
Answer:
[tex] {m}^{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{ {m}^{6} } \\ \sqrt{m \times m \times m \times m \times m \times m} \\ {m \times m \times m} \\ = {m}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the GCF of 22ab2 c2 and 40a 3 c2.
4a3b2c2
2ab2c2
4ac2
2ac2
Answer:
work is shown and pictured
x and y are integers.
y>2
x<2
y< x + 3
Find the only pair of possible
values for x and y.
Answer:
Y=3
X=1
3<1+3
Hope that helps
The only pair of possible values for x and y is (1,3) that satisfies the inequality expression.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.
For the given situation,
The expression is
x and y are integers, y>2, x<2
y< x + 3
[tex]x < 2[/tex] , x can take any value less than two.
⇒ [tex]x=1[/tex] and
[tex]y > 2[/tex] , y can take any value greater than two
⇒ [tex]y=3[/tex]
Thus the expression becomes,
⇒ [tex]y < x + 3[/tex]
⇒ [tex]3 < 1 + 3[/tex]
⇒ [tex]3 < 4[/tex]
Hence we can conclude that the only pair of possible values for x and y is (1,3) that satisfies the inequality expression.
Learn more about inequalities here
https://brainly.com/question/20383699
#SPJ3
On a soccer team 40% of the goal are scored by a star player on the team.If 70 goals were scored all season, how many are scored by the rest of the team? Plz help me
Answer:
42
Step-by-step explanation:
During the season, 40% of the goals are scored the by the star player. This means that 60% of the goals are scored by everyone else.
100% - 40% = 60%
To find how many goals are scored by the rest of the team, convert the percentage to a decimal. You then have to multiply the decimal by the total goals scored.
60% = 0.6
70 × 0.6 = 42
The rest of the team scored 42 goals.
Answer:
42
Step-by-step explanation:
40% of 70=28
70-28=42
Is the square root of 16 + 3/4
One angle is 60 degrees, the other
is 60 degrees, What is my missing
angle? What is
my
first and
last name?
hi this is my first answer
a straight angle has 180°,
here your given angle is 60+60=120°
so your missing angle is 180-120=60°
Step-by-step explanation:
The missing angle is 60° (180 - 60 - 60=60)
Its name: equilateral triangle
Which is the graph of y=[x]-2?
Find the unknown side of the triangle below (round to the nearest tenth).
A. 18 cm
B. 22.9 cm
C. 26.9 cm
D. 21.2 cm
Please answer this
[tex]answer = 22.9 \: cm \\ solution \\ hypotenuse = 25 \: cm \\ perpendicular = x \\ base = 10 \: cm \\ now \\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {p}^{2} = {h}^{2} - {b}^{2} \\ or \: {x}^{2} = {25}^{2} - {10}^{2} \\ or \: {x}^{2} = 625 - 100 \\ or \: {x}^{2} = 525 \\ or \: {x} = \sqrt{525} \\ or \: x = 22.9 \: cm \\ hope \: it \: helps[/tex]
Solve for x: x5 − 2 = 18
x5-2=18
I’m gonna rewrite the equation:
18=5x-2
5*4=20-2
X=4
What is the absolute value of -12 – 5?
Answer:
17
-12 - -5 = -17
-17 is 17 numbers away from 0 so 17 is the answer
Hope this helps
Step-by-step explanation:
Solve for z plz help me
Answer:
Let's get all of the z terms on one side. When we do so we get tz + cz - 6z = -83. We can factor the left side as z(t + c - 6) = -83 so our answer is z = -83(t + c - 6).
Answer:
Z= 83
——————
(-c + 6)
Step-by-step explanation:
please be neat when answering
Answer:
In fig. 9, angle Y = angle 110° (vertically opposite angles )
Angle x = angle z = 180 - 110 = 70° (angles on a straight line)
In fig 10, angle y = 78°
Angle x = angle z = 180-78 = 102°
In fig 11, angle x = 83°
Angle y = angle z = 180-83 = 97°
In fig 12, angle y = 37°
Angle x = angle z = 180-37 = 143°
1. Water is filling a bathtub at a rate of 7 gallons per minute. Complete the table of equivalent
ratios for the first 5 minutes of the bathtub filling up.
Answer:
amount of water: 7, 14, 21, 28, 35
time : 1,2,3,4,5
30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)
Which statement about the temperatures in Tucson must be true?
About half of the days in December had average temperatures above 60 degrees.
About half of the days in December had average temperatures between 52 and 60 degrees.
The coldest day in December was 52 degrees.
The hottest day in December was 65 degrees.
Answer:
About half of the days in December has average tempetare between 52 and 60 degrees
(SEE THE ATTACHMENT)
Step-by-step explanation:
See the box-and-whisker plot.
Median = 58
1st quartile (which is the median of all value below 58) = 52
2nd quartile (which is the median of all value above 58) = 60
From 1st quartile to median = Almost quarter of the values
From median to 2nd quartile = Almost quarter of the values
From 1st quatile to 2nd quartile = Almost half of the values
So
1st statement is wrong
2nd statement is correct
3rd statement is wrong (Coldest day was 49 degrees)
4rth statement is wrong (Hottest day was 68 degrees)
At an airshow, 8 skydivers were released from a plane in a circle formation. Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon. How many pieces of ribbon were used in the skydiving act?
Answer:
28
Step-by-step explanation:
If a ribbon connects two skydivers, and there are 8 skydivers total, then we can do 8C2, which is equal to (8*7)/2, which is equal to 28. An alternate solution is to think of it this way. Skydiver 1 is connected to everyone else, which is 7 other people. Skydiver 2 is connected to everyone else but Skydiver 1, which is 6 other people. This goes on until Skydiver 8 is already connected with everyone. So we have 7+6+5+4+3+2+1+0, which is also equal to 28.
The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
The equation for combination is
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
The total number of skydivers in the plane n = 8 skydivers
Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon
So , the number of choosing skydivers x = 2
Now , the total number of ribbons used is calculated by combination
So , the equation is
ⁿCₓ = n! / ( ( n - x )! x! )
Substitute the value of n and x in the equation , we get
⁸C₂ = 8! / ( ( 8 - 2 )! x 2! )
= 8! / ( 6! x 2! )
= 8 x 7 / 2 x 1
= 56 / 2
= 28 ribbons
Hence , The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
To learn more about combinations click :
https://brainly.com/question/28065038
#SPJ2
someone plz help me!
answer
d is the answer to the question
An equation of the circle whose center is the origin and
which passes through the point (3,0) is
A (x – 3)2 + y2 = 9
B (x – 3)2 + y2 = 3
© x2 + y2 = 9
O x + y2 = 3
Answer:
[tex]\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}[/tex]
Explanation:
A circle whose center is [tex](a, b)[/tex] and radius [tex]r[/tex], has equation:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex]
The center of circle is given as origin [tex](0, 0)[/tex], therefore:
[tex]a = 0\\b = 0[/tex]
This circle passes [tex](3, 0)[/tex], then the radius of circle is the distance [tex](d)[/tex] between origin [tex](0, 0)[/tex] and [tex](3, 0)[/tex]
[tex]d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3[/tex]
=> [tex]r = d = 3[/tex]
Substitute [tex]a[/tex], [tex]b[/tex], and [tex]r[/tex] back into original equation:
[tex](x - 0)^{2} + (y - 0)^{2} = 3^{2}[/tex]
or
[tex]x^{2} + y^{2} = 9[/tex]
Hope this helps!
:)
I need help with this question.
Answer:
They are incorrect.
Step-by-step explanation:
Both iscocoles and right angled triangles are very similar. They both measure differently and are not the same,
What is one of the solutions to the following system? Y-3=x, x2-6x+13=y
Answer:
x = 5, x = 2
Step-by-step explanation:
substitute what y equals in the second equation into the first equation.
x²-6x+13-3=x
x²-7x+10 = 0
(x-5)(x-2) = 0
x = 5, x = 2
Answer:
It's C my man
Step-by-step explanation:
Consider the function.
f(x) = 2 1/2 - 3 1/3x
What is the x-intercept of f-1(x)?
(-3 1/3,0)
(-3/10,0)
(3/4,0)
( 2 1/2, 0)
Answer: (2 1/2, 0) (the last option)
Step-by-step explanation:
I guess the function is:
f(x) = (2 1/2) - (3 1/2)*x
now, the rule for f-1(x) that we know is:
f-1( f(x) ) = x.
So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)
f-1(f(0)) = 0.
And we have that f(0) = (2 1/2) - (3 1/3)*x = 2 1/2
This means that the x-intercept of f-1(x) will be when x= 2 1/2, so the intercept is:
(2 1/2, 0)
Answer: the answer is D
Step-by-step explanation:
big fat smelly ballsack
I need some help on these two questions.
Answer:
see explanation
Step-by-step explanation:
The length of the arcs are calculated as
arc = circumference of circle × fraction of circle
(13)
arc = 2πr ×[tex]\frac{72}{360}[/tex]
= 2π × 25 × [tex]\frac{1}{5}[/tex] = 10π units
(14)
arc = 2π × 2 × [tex]\frac{270}{360}[/tex]
= 4π × [tex]\frac{3}{4}[/tex] = 3π units
A.75/1 dollars per daythe cost $75 for each day.
B.1/25 dollars per day; the cost is $25 for each day.
C.1/150 dollars per daythe costs $1 for 150 days
D.25/1 dollars per daythe cost is $25 for each day
Answer:
D
Step-by-step explanation:
Count by 25. Its a no-brainer honestly.
please help! 10 points! its quite easy but im lazy What is the value of x in the equation 4(2x + 14) = 0? (1 point)
Answer:
[tex]x=-7[/tex]
Step-by-step explanation:
[tex]4(2x + 14) = 0[/tex]
[tex]8x+56 = 0[/tex]
[tex]8x=-56[/tex]
[tex]x=-56 \div 8[/tex]
[tex]x=-7[/tex]
Answer:4(2x+14)=0
8x+56=0
8x=-56
x=-7
