Answer: It would take [tex]21\dfrac{14}{15}[/tex] gallons of gas to completely fill the tank.
Step-by-step explanation:
Given: capacity of tank = [tex]18\dfrac35[/tex] gallons
[tex]=\dfrac{18\times5+3}{5}=\dfrac{93}{5}[/tex] gallons
Tank contains [tex]3\dfrac13[/tex] gallons of gas
i.e. it has [tex]\dfrac{3\times3+1}{3}=\dfrac{10}{3}[/tex] gallons of gas.
Difference = [tex]\dfrac{93}{5}-\dfrac{10}{3}=\dfrac{93\times3+10\times5}{5\times3}[/tex]
[tex]=\dfrac{329}{15}\\\\=21\dfrac{14}{15}[/tex] gallons
Hence, it would take [tex]21\dfrac{14}{15}[/tex] gallons of gas to completely fill the tank.
Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)
Answer:
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13
Step-by-step explanation:
Given that a = -1, b=2 and c= -3
find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])
Just substitute the values given for each variable
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1
The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every 2 weeks. To model this situation, she graphed the following line, where y represents the number of pounds left to lose and x represents time in weeks. The equation for this line is y= ___x +___. If she continues the line, she would see that it would take ___ weeks for her cat to lose 5 pounds
Answer:
it would take the adverage of 10 weeks for her to lose 5 pounds did that help?
Step-by-step explanation:
37% of women consider themselves fans of professional baseball. you randomly select six women and ask each if she considers herself a fan of professional baseball. Complete parts (a) through (d) below. (a) find the mean of the binomial distribution. (b) find the variance of the binomial distribution. (c) Find the standard deviation of the binomial distribution
Answer:
(a) 2.22
(b) 1.3986
(c) 1.183
Step-by-step explanation:
Let X denote the number of women who consider themselves fans of professional baseball.
The proportion of women who consider themselves fans of professional baseball is, p = 0.37.
A random sample of n = 6 women are selected and each was asked if she considers herself a fan of professional baseball.
Each woman's reply is independent of the others.
The random variable X thus follows a binomial distribution with parameters n = 6 and p = 0.37.
(a)
Compute the mean of the binomial distribution as follows:
[tex]\text{Mean}=np=6\times 0.37=2.22[/tex]
(b)
Compute the variance of the binomial distribution as follows:
[tex]\text{Variance}=np(1-p)=6\times 0.37\times (1-0.37)=1.3986[/tex]
(c)
Compute the standard deviation of the binomial distribution as follows:
[tex]\text{Standard Deviation}=\sqrt{np(1-p)}=\sqrt{6\times 0.37\times (1-0.37)}=1.183[/tex]
PLZ HELP!
What is the domain and range for the function graphed to
the left?
Answer:
Domain: (-∞, ∞)
Range: (-∞, -3]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
We know that the parabola will continue indefinitely, hence we use infinity. Our domain would then be from negative infinity to positive infinity, because we can plug in any number x.
We see the from the graph that the y-value is actually restricted. We have a max value of y = -3, and the graph will never go higher than that. Therefore, our range spans from negative infinity to -3.
Step-by-step explanation: The range of a function
is the set of all y values of the function.
The y values on a coordinate system are the up and down values.
Our parabola is expanding infinitely downwards but
it never goes above the y value of -3.
So we say that the range of this function is {y: y ≤ -3}.
The domain is the set of all x values or left and right values.
Since it's expanding infinitely to the left and right,
we say that the domain is the set of all real numbers or R.
HELP! I NEED FAST! 20 POINTS!!!
The length of the minute hand is 200% of the length of the hour hand. In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest hundredth.
Answer:
about 240.8551 mm
Step-by-step explanation:
Help me plz
Y-intercept ( , )
X-intercept ( , )
i am trying to remember how to do Write a two-column proof,
Given: a = 2b + 6
a = 9b - 8
Prove: b = 2
9514 1404 393
Explanation:
Make use of the properties of equality.
a = 2b +6 . . . . . given
a = 9b -8 . . . . . given
2b +6 = 9b -8 . . . . . . . substitution property of equality
6 = 7b -8 . . . . . . . . . . . subtraction property of equality
14 = 7b . . . . . . . . . . . . . addition property of equality
2 = b . . . . . . . . . . . . . . . division property of equality
b = 2 . . . . . . . . . . . . . . symmetric property of equality
(02.07)
Plssss Help me this is die in a hour
Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters)
Answer:
154.94 cm or 155 cm rounded to the nearest tens
As a maintenance electrician, it takes you 40 minutes to rewire a motor. You have 6 motors to rewire.
At that rate, how many hours will it take you to rewire the motors?
2/3
4
6 2/3
180
240
Answer:
The maintenance electrician takes 287.555555566667 hours to to rewire all the motors
Step-by-step explanation:
1. Calculate all of the minutes for all the numbers.
It takes you 26.6666667 minutes to rewire 2/3 of a motor.
It takes you 160 minutes to rewire 4 motors.
It takes you 266.666667 to rewire 6 2/3 motors
It takes you 7,200 minutes to rewire 180 motors
It takes you 9,600 minutes to rewire 240 motors
2. Add all of the minutes together.
26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334
It takes you 17253.333334 minutes to rewire 431.333333 motors
3. Convert minutes to hours
17253.333334/60 = 287.555555566667
It takes you 287.555555566667 hours to rewire all the motors
Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.
Answer:
Picture?
Step-by-step explanation:
Answer:
heres the picture
Step-by-step explanation:
Tom woke up one morning and the temperature was −6° Celsius. The high temperature that day was 6° Celsius. What was the difference between the low temperature and the high temperature that day?
Answer:
12˚C
Step-by-step explanation:
If the high temperature is 6˚ and the low temperature is -6˚, the difference is
6˚-(-6˚)
=6˚+6˚
=12˚.
On Monday, Rachel bought company stock for $39.60 per share. On Tuesday, the share price changed by -$2.35. On Wednesday, the share price changed by +$1.45. What is the share price at the end of Wednesday?
Answer: i belive that it is 38.70
Step-by-step explanation: 39.6 - 2.35 + 1.45 = 38.70
Answer:
38.70
Step-by-step explanation:
anyone help please?
i’m confused.
segment and angle bisectors.
geometric of
1/3, 2/9, 4/27, 8/81, 16/243
3x+15=6x the property of this
Answer:
x = 5
Step-by-step explanation:
3x + 15 = 6x
Solve using inverse operations
3x + 15 = 6x
-3x -3x
15 = 3x
/3 /3
x = 5
I have 5 digits. My q is worth q * 10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am l
Answer:
92,776
Step-by-step explanation:
I have 5 digits. My 9 is worth 9*10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am I?
My 9 is worth 9*10,000 = 9 * 10,000
= 90,000
My 2 is worth 2 thousand = 2,000
One of my 7s is worth 70 = 70
The other is worth 10 times as much = 70 * 10
= 700
My other digit is a 6 = 6
The number is
90,000 + 2,000 + 700 + 70 + 6
= 92,776
The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.
(0,0)
(1,9.7)
(4,38.8)
Question 2
The unit rate is
feet per second.
Answer:
2
Step-by-step explanation:
2
Evelyn drove 248 miles in 8 hours. If she continued at the same rate, how far would she travel in 6 hours?
Answer:
186
Step-by-step explanation:
248÷8 = 31
31 miles = 1 hour
31×6 = 186
Answer:
186 miles in 6 hours.
Step-by-step explanation:
Since the problem gives 248m/8h, you would divide 8 into 248 to get the constant speed of 31mph. If you multiple 31 by 6, you get 186 miles after 6 hours.
What is the equation of the line that passes through the points (-2,5) and (1,-1)?
Answer:
Step-by-step explanation:
That is the first
Answer:
1)y-3x=11 You clicked the right one
what is 4/9 × 3/16 asap help it would mean so much
Answer:
0.083
Step-by-step explanation:
Step-by-step explanation:
.083 repeating
Arrange the four numbers shown least to greatest 3.0,250%,-15/4,25
Answer:
-15/4, 3.0, 25, 250%
I hope this is correct sorry if it isnt
Step-by-step explanation:
Which of the following expressions are equivalent to this expression
-1(0) = ?
0 -1[4 + (-4)]
-1[4 + (4)]
O 1 + [4 + (-4)]
O-11-4 + (-4)]
Answer:
so It A -1{4 + (-4)}
Step-by-step explanation:
take the quiz
can someone help me answer question 7 and 8. ill give a braniest to whoever can get them both correct. tysm if you help me :)
Step-by-step explanation:
7question.
it's the first answer y=x-10/3
8th question
it's also first answer y=x-9/2
Which one is correct ; BODMAS , BOMDAS, BIDMAS or PIDMAS?
Answer:
BODMAS
Step-by-step explanation:
BODMAS is correct.
Brackets
Of
Division
Multiplication
Addition
Subtraction
What are the complex solutions to the following equation?
- 2x²+2x-3=0
Answer:
lol
Step-by-step explanation:
laugh out loud
which of the following lines is perpendicular to y = -5x - 2?
a. y = -5x +5
b. y = 5x - 1
c. y = 1/5x + 1/5
d. y = 2/5x + 3
Divide helpppppppppppppppppp
Answer:
347
Step-by-step explanation:
You need to see how many times 56 fits inside of 19,432. Long division works best for this case
To the nearest centimeter, what is the area of the shaded sector in the circle shown below? A. 12 cm2 B. 151 cm2 C. 23 cm2 D. 138 cm2
Step-by-step explanation:
what are the sides given?
Answer:
The correct answer is D:
Step-by-step explanation:
I just got it correct.[tex]138 cm ^2[/tex]
The perimeter of a rectangle
is 44. The lenght is 5 less
than double the width.
Find the dimensions.
Answer:
9,13
Step-by-step explanation:
perimeter=2(x+y)
length = 2x-5
2(3x-5)=44
6x-10=44
6x=54
x=9
y=13
Hope this helps plz mark brainliest :D
Find the slope of the line that passes through the points (1.2) and (2.6).
Answer:
4
Step-by-step explanation:
Use slope intercept form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{6-2}{2-1}[/tex] = [tex]\frac{4}{1}[/tex] = 4
