Answer:
4.2
Step-by-step explanation:
There are the most tenths in the number
Answer:
4.2
Step-by-step explanation:
Chang rented a truck for one day. There was a base fee of 15.95, and there was an additional charge of 88 cents for each mile driven. Chang had to pay 210.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
221 Miles
Step-by-step explanation:
Since there is a base fee, you substract that from the total.
210.43 - 15.95 = 194.48.
And since it was .88 per mile, you just divide 194.48 by .88 to get 221
The side lengths of a triangle are 11.3 centimeters, 14.7 centimeters, and x centimeters. The perimeter of the
triangle is less than 44 centimeters. Write and solve an inequality to find the possible values of x.
The perimeter of a triangle is the sum of all its side lengths
11.3 + 14.7 + x < 44
Combine like terms
26 + x < 44
Subtract 26 from both sides.
x < 18
What is the distance between-3.8 and 4.2
Answer:
2.23606797749979
Midpoint
(2,−4.5)
Slope
0.5
x intercept
11.00
y intercept
−5.50
Step-by-step explanation:
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (1-3)2+(-5--4)2
d = √ ((-2)2+(-1)2)
d = √ (4+1)
d = √ 5
The distance between the points is 2.23606797749979
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(3+1)/2=2
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(-4+-5)/2=-4.5
The midpoint is: (2,-4.5)
Graphing the two points, midpoint and distance
P1 (3,-4)
P2 (1,-5)
Midpoint (2,-4.5)
The length of the black line is the distance between the points (2.23606797749979)
Find the slope of the line connecting the two points
Slope = (Y2-Y1) = (-5--4) = (-1) = 0.5
(X2-X1) (1-3) (-2)
Find the equation of the line passing through the two points
The general equation for a straight line is
y = mx + b
Where m represents the slope of the line which we found in the previous step to be 0.5
y = 0.50x + b
We substitute x and y for the values from one of our points (3,-4)
-4 = .50×3 + b
-4 = 1.50 + b
-4-1.50 = b
-5.50 = b
Knowing both b and m, we can contruct the equation of the line
y= 0.50x-5.50
X and Y intercepts
The x-intercept is a point on the graph where y is zero
Using the equation we found in the previous step and substituting zero for y
y= 0.50x-5.50
0= 0.50x-5.50
-0.50x= -5.50
x= -5.50/-0.50 = 11.00
The x intercept for this straight line is 11.00
The y-intercept is a point on the graph where x is zero
Using the equation we found in the previous step and substituting zero for x
y= 0.50×0-5.50
y= -5.50
The y intercept for this straight line is -5.50
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 15 buyers are randomly selected, what is the probability that exactly a third of the buyers would prefer green?
Answer:
0.09
Step-by-step explanation:
Given that 50% of this population prefers the color green.
Let p the probability that one person selected from the population prefer the green color of the car. So,
p=0.05
There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.
By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is
[tex]P(r)=\binom{n}{r}p^{r}{(1-p)}^{n-r}\cdots(i)[/tex]
Here, 15 buyers are randomly selected, so, n= 15 and
[tex]r= \frac1 3 \times 15=5[/tex]
So, by using equation (i), the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is
[tex]P(r=5)=\binom{15}{5}(0.5)^{5}{(1-0.5)}^{15-5}[/tex]
[tex]=\binom{15}{5}(0.5)^{5}{0.5}^{10}[/tex]
[tex]=\binom{15}{5}(0.5)^{15}[/tex]
=0.0916
Hence, the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is 0.09.
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x)=g(x) is true?
x=____
-1, it's fairly clear just from the table...
Answer:
-1
Step-by-step explanation:
Multiply. Use the greatest common factor to write each answer in simplest form. 32 x 3/8
Answer:
12
Step-by-step explanation:
8
Three friends, Cleopatra, Dalila and Ebony go shopping.
The money they each have is in the ratio
Cleopatra : Dalila : Ebony = 5:7:8.
Cleopatra has $17.
(a) How many dollars do they have in total?
(b) Dalila spends $12 on a hat.
How many dollars does she have left?
(CIE Paper 1, Nov 2005)
Total number of parts = 5 + 7 + 8 = 20
Let the sum of the money with them be = x
Cleopatra has =
= 5/20 of x = $17
= 5/20x = 17
= 1/4x = 17
= 1x = 17 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 )
= x = 68
Therefore , they have $68 in total .
Solution (b) :Total number of parts = 5 + 7 + 8 = 20
Parts with Dalila = 7/20
Money with Dalila =
= 7/20 of 68
= 7/20 × 68/1
= 476/20
= 23.8
Dalila has $23.8 with her .
Money she spends on a hat = $12
Money left with her =
= 23.8 - 12
= 11.8
Therefore , Dalila has $11.8 left with her , after she buys a hat .
Solution to the problems in the comment box :-
Solution (1) :Ratio of cement to sand to aggregate to water = 2:5:8:1
Total parts = 2 + 5 + 8 + 1 = 16 parts
Number of parts for aggregate = 8/16
Then the aggregate needed by Bobbie =
= 8/16 × 1.2
= 1/2 × 1.2
= 1.2 as a fraction will be 6/5
= 1/2 × 6/5
= 6/10
6/10 as a decimal = 0.6
Therefore , Bobbie needs 0.6 cube of meter .
Solution (a) :Cement : sand : aggregate : water = 2:5:8:1
Total parts = 16
Number of parts for cement = 5/16
Let the quantity of concrete be = x
Then ,
Cement =
= 5/16 of x
= 5/16x = 0.25 meter cube
= x = 0.25 × 16/5
= x = 25/100 × 16/5
= x = 1/4 × 16/5
= x = 16/20
= x = 4/5
4/5 as decimal = 80/100 = 0.08
Cement needed by Eddie = 0.08 cubic meter .
Quantity of water Eddie will need =
= 1/16 × 0.08
= 1/16 × 80/100
= 1/16 × 8/10
= 8/60
= 0.13
Water needed by Eddie = 0.13 cubic meter .
Quantity of aggregate needed by Eddie =
= 8/16 × 80/100
= 1/2 × 8/10
= 8/20
= 40/100
= 0.04
Aggregate needed by Eddie = 0.04 cubic meter .
Quantity of sand Eddie will need =
= 5/16 × 80/100
= 5/16 × 8/10
= 40/160
= 0.25
Quantity of sand needed by Eddie = 0.25 cubic meter .
Therefore , Eddie will need 0.25 cubic meter of sand , 0.04 cubic meter of aggregate ,0.13 cubic meter of water along with 0.25 cubic meter of cement to make concrete .
Solution (b) :When water and aggregate has been added the quantity of concrete =
= 0.13 + 0.04
= 0.07
Therefore , when water and aggregate has been added the quantity of concrete will be 0.07 cubic meter .
How many 1/3 cup servings are in a 12-cup container of juice?
Answer:4
Step-by-step explanation:i guess because 4 time 3 if im wrong then 1b time s 12
What is the simplified fractional equivalent of the terminating decimal 0.32?
It’s 8/25
Answer:
yes
Step-by-step explanation:
8/25= 0.32 which is a terminating decimal
Answer: 8
Over
25
Step-by-step explanation:
3 Comcast charges $50 per month for basic cable and $5.00 for each premium movie channel. Xfinity charges $41 per month for the same cable package and $6.50 for each premium movie channel. B. Write an inequality to represent how many movie channels a customer needs to purchase from Xfinity Cable to pay at least as much as a Comcast subscriber.
Answer:
18Step-by-step explanation:
let us model the cost
let the cost be y and the number of movie channel be x
for 3 comcast
y=50+5x-----1
and for Xfinity
y=41+6.5x-------2
to solve for the number of movie channel so that the two (3 comcast and Xfinity) will pay the same, we need to equate 1 and 2
50+5x=41+6.5x
50-41=6.5x-5x
9=0.5x
x=9/0.5
x=18
Is there a way to rewrite this? It asked me to create an equation, and I did: 180([tex]x^{2}[/tex]). I checked it and it said it was wrong, however, I used the same equation to get the answer for the second question and it was correct. I thought that maybe there was another way to write the equation, so I used the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and had no luck. Is there a way to write it that I don't know about?
Step-by-step explanation:
Hope this helps, and sorry for the image, my phone is glitchy.
cheers!!!
Select True or False. The expression 3x − 4(2x − 5) is equivalent to the expression 20 − 5x. True False
Answer:
true
Step-by-step explanation:
3x − 4(2x − 5)
Distribute
3x - 8x +20
-5x +20
20 -5x
This is equal to 20 -5x
Answer:
The answer would be true.
Step-by-step explanation:
Hope this help and I took the test and got this correct! :)
You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.
Answer:
17/2 = 8.5
1 inch = 8.5 feet
51/8.5 = 6 inches
Step-by-step explanation:
HI :)
Answer:
51 divided by 17 = the answer
Step-by-step explanation:
if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.
when solving the equation x3 = 22.
Answer:
x=7 1/3
Step-by-step explanation:
During this basketball season trey took 250 shots and made 72 shots what was his shooting percent
A rectangular table measures 3 feet by 4 feet. Andres rotates the the table a quarter-turn clockwise. What is the length in feet of the shorter side of the table after the rotation?
Answer:
3 ft
Step-by-step explanation:
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Pls help!
Answer:
5 7th Graders
Step-by-step explanation:
Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders
Solve the following absolute value equation
| x+5 | = 11
Answer:
X is 6 or -6
Step-by-step explanation:
In absolute value it makes everything positive
Answer:
x = 6
Step-by-step explanation:
Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6I hope this helps!
Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish
Answer:
19 days
Step-by-step explanation:
305-115=190 190/10=19
30 POINTS! HELP ME PLZZ !!
Answer:
D.
Step-by-step explanation:
D is the only one that works because commutative property allows you to rearange the order of questions, but you cannot change the number's numerical value
PLEASE HELP ME WITH THIS LAST QUESTION PLEASE
Answer:
Is the answer -3x-y. If it is thank me plz.
Step-by-step explanation:
8 to the 4th power times 2 divided by 8 to the eleventh power
Answer:
17179869191.3 (really i used a calculator, it was too hard)
Step-by-step explanation:
8^4 is 4096
2/8 is .25
.25^11 is 2.38418579e-7
4096/2.38418579e-7
17179869191.3
What is the slope of the line whose equation is y-4=(x-2)?
6
S
3 2
1
-5-5-32
+
23
5 x
2719 2
Answer:
1
Step-by-step explanation:
y-4=(x-2)
This equation is in point slope form
y-y1 = m(x-x1)
where m is the slope
The slope is 1
y - 4 = x - 2
y = x + 2
Slope-intercept form is y = mx + b, where m is the slope and b is a constant.
Here, m = 1 and b = 2. Therefore, the slope is 1.
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
CHOICES - SELECT ALL THAT APPLY:
-10
-5
-1
0
1
5
10
SHOW YOUR WORK
Answer:
-10, -1, 5
Step-by-step explanation:
The zeroes of the function are -
x = -10, 5, -1
We have the following function -
f(x) = (x + 10)(x − 5)(x + 1)
We have to determine its zeroes.
Find the Zeroes of thee function -f(x) = (x + a)(x + b)In order to find the zeroes of the function, equate f(x) = 0.
(x + a)(x + b) = 0
(x + a) = 0 or (x + b) = 0
x = - a or x = -b
Zeroes = -a , -b
According to question, we have -
f(x) = (x + 10)(x − 5)(x + 1)
Equate f(x) = 0
(x + 10)(x - 5)(x + 1) = 0
(x + 10) = 0 or (x - 5) = 0 or (x + 1) = 0
x = -10 x = 5 x = -1
Hence, the zeroes of the function are -
x = -10, 5, -1
To solve more questions on Zeroes of function, visit the link below -
https://brainly.com/question/12492261
#SPJ6
Given hexagon jklmno ~ hexagon pqrstu, Lk=15, JO=23, and QR=2, find the scale factor from jklmno to pqrstu. Give your answer in decimal form rounded to the nearest hundredths
Answer:
ghjkghhjkghjkghjk
Step-by-step explanation:
Which graph represents an exponential growth function? On a coordinate plane, a line rapidly decreases and then levels off. On a coordinate plane, a line increases gradually. On a coordinate plane, a line decreases gradually. On a coordinate plane, a line is level and then curves upwards rapidly.
The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).
The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.
What are exponential functions?Exponential functions are functions that are defined as [tex]y = ab^x[/tex]
Where:
b represents the ratea represents the initial valueAssume that a has positive value, and the b is greater than 1.
Then it means that, the function is an exponential growth function.
An exponential growth function that has a positive initial value will start with a level line, then curve up
Hence, the graph that represents an exponential growth function is (d)
Read more about exponential growth function at:
https://brainly.com/question/13223520
Evaluate
p
+
(
−
q
)
−
2
p
Can someone please answer my math question:(
Answer:
were is the pic I cant answer lik
Identify the number of terms in this polynomial.
5k^5+7k-2
Answer:
cuatro terminos
4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)
Answer:
Step-by-step explanation:
Let R = Richard, T = Teo.
Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:
R + T = 41
We are also told Richard is 5 years older than twice Teo's age:
R = 2T + 5
You can substitute " R " into R + T = 41
R + T = 41
2T + 5 + T = 41
3T + 5 = 41
Subtract 5 from both sides
3T = 41 - 5
3T = 36
Divide both sides by 3 to find T.
T = 36/3 = 12
We know that R + T = 41, so
R = 41 - T
R = 41 - 12
R = 29
Answer:
Richard is 29 and Teo is 12
Step-by-step explanation:
let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )
Thus their combined ages are
n + 2n + 5 = 41 , that is
3n + 5 = 41 ( subtract 5 from both sides )
3n = 36 ( divide both sides by 3 )
n = 12
Then
Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old