Answer:
It would be -5 + -6 = 65
Step-by-step explanation:
Add it up to together by removing the -
3/8 plus 1/2
Fractions
Answer:
7/8
Step-by-step explanation:
To add the fractions, find the LCD and then combine.
Answer:
We have to make sure the denominators are equal.
Since 2 is evenly divided by 8, we can multiply just one term to get a common denominator.
Multiply 1 by 4, and get 4, then we multiply 2 by 4 and get 8.
x4
So you multply 1/2 4/8 (muliply numerator)
x4
1/2 x 4/8 (multiply denominator
now 3/8+4/8
since denominators match you can add
3+4=7 so its 7/8
Solve this problem 17(5)
Answer:
17x5 is 85
Step-by-step explanation:
ur welcome :))
There are 10 girls in the class. This is 4 more than 2 times the number of boys. How many boys are in the class?
Answer:
let us suppose the number of boys be x
now,
10=4+2x
or, 10-4/2=x
or,x=3
therefore, 3 boys are there
A shop sells 2 brands of sunflower seeds. Brand A’s package is in the shape of a cone with radius 2.5 centimeters and height 10 centimeters. Brand B’s package is in the shape of a square prism. The prism’s height is 2.5 centimeters, and each side of the base measures 5 centimeters.
HELPPPPPP
Which package contains more seeds? Explain or show your reasoning.
The package that contains more seed is brand b's package.
Which seed contains more seed?In order to determine which package contains more seeds, the volume of each package has to be determined.
The volume of brand A's package = 1/3(nr^2h)
n = 22/7r = radius h = height1/3 x 2.5^2 x 10 x 22/7 = 65.48
The volume of brand b's package = 2.5 x 5 x 5 = 62.5
To learn more about the volume of a cone, please check: https://brainly.com/question/13705125
ANYONE SMART AT MATH NEED HELP
Michael is playing a game in which he must spin a spinner numbered 1-8 first, and then roll a die number 1-6. what is the probability that he will spin and roll a sum of 10?
A car filled with x kg of gasoline consumes [tex]\displaystyle \large{\frac{100+x}{100}e^{kv}}[/tex] kg/hr of gasoline when driving at v km/hr. (k is a positive constant.) Given that this car drives to a destination 100 km away at a constant speed, find the initial amount of gasoline and the driving speed such that gasoline consumption is minimized. Assume that the car stops immediately after running out of gasoline.
Answer:
The vehicle should start with [tex](100\, e^{ke} - 100)\; {\rm kg}[/tex] of fuel and drive at a speed of [tex](1/k)\; {\rm km \cdot hr^{-1}}[/tex].
Step-by-step explanation:
Let [tex]t\; {\rm hr}[/tex] denote the number of hours after the vehicle started. As in the question, let the amount of fuel currently on this vehicle be [tex]x\; {\rm kg}[/tex]. The question states that the vehicle consumes fuel at a rate ([tex]dx/dt[/tex]) of [tex]((100 + x) / 100)\, e^{kv}[/tex]. In other words:
[tex]\displaystyle \frac{dx}{dt} = -\frac{100 + x}{100}\, e^{k\, v}[/tex].
Note the minus sign in front of the right-hand side. The amount of fuel on this vehicle decreases over time. Hence, the rate of change in [tex]x[/tex] should be negative.
This equation is a separable ordinary differential equation. The variables are [tex]x[/tex] and [tex]t[/tex]. Solve this ODE to find an expression of [tex]x\![/tex] (fuel in the vehicle) in terms of [tex]t\![/tex] (time.) Follow these steps:
Rearrange this equation such that all [tex]x[/tex] and [tex]dx[/tex] are are on the same side of the equation, while [tex]t[/tex] and [tex]dt[/tex] on all on the other side.
[tex]\displaystyle \frac{dx}{100 + x} = -\frac{e^{k\, v}\, dt}{100}[/tex].
Integrate both sides, and the equality should still hold. Note that [tex]k[/tex] and [tex]v[/tex] are considered as constants. Be sure to include the constant of integration [tex]C[/tex] on one side of the equation.
[tex]\displaystyle \int \frac{dx}{100 + x} = -\frac{e^{k\, v}}{100}\int dt[/tex].
[tex]\displaystyle \ln | 100 + x | = -\frac{(e^{k\, v})\, t}{100} + C[/tex].
Let [tex]x_{0}[/tex] denote the initial amount of fuel on this vehicle (i.e., the value of [tex]x[/tex] when [tex]t = 0[/tex]). The constant of integration [tex]C[/tex] should ensure that [tex]x = x_{0}[/tex] when [tex]t = 0[/tex]. Thus:
[tex]\displaystyle \ln | 100 + x_{0} | = C[/tex].
Hence, the value of the constant of integration should be [tex]\ln | 100 + x_{0} |[/tex]. Therefore:
[tex]\displaystyle \ln | 100 + x | = -\frac{(e^{k\, v})\, t}{100} + \ln | 100 + x_{0}|[/tex].
Since the speed of the vehicle is constant at [tex]v\; {\rm km\cdot hr^{-1}}[/tex], the time required to travel [tex]100\; {\rm km}[/tex] would be [tex](100 / v)\; {\rm hr}[/tex].
For optimal use of the fuel, the vehicle should have exactly [tex]x = 0[/tex] fuel when the destination is reached. Therefore, [tex]x = 0[/tex] at [tex]t = 100 / v[/tex]. Hence:
[tex]\displaystyle \ln | 100 | = -\frac{(e^{k\, v})\, (100 / v)}{100} + \ln | 100 + x_{0}|[/tex].
[tex]\displaystyle \ln | 100 | = -\frac{e^{k\, v}}{v} + \ln | 100 + x_{0}|[/tex].
Notice that [tex]\ln|100 + x_{0}|[/tex] is monotone increasing with respect to [tex]x_{0}[/tex] as long as [tex]100 + x_{0} > 0[/tex]. Thus, given that [tex]x_{0} > 0[/tex], [tex]x_{0}\![/tex] would be minimized if and only if the surrogate [tex]\ln|100 + x_{0}|\![/tex] is minimized.
While the goal is to find the [tex]v[/tex] that minimize [tex]x_{0}\![/tex], finding the [tex]v\![/tex] that minimizes [tex]\ln|100 + x_{0}|[/tex] would achieve the same purpose.
[tex]\displaystyle \ln | 100 + x_{0}| = \ln | 100 | + \frac{e^{k\, v}}{v}}[/tex].
The [tex]\texttt{RHS}[/tex] of this equation is indeed convex with respect to [tex]v[/tex] ([tex]v > 0[/tex].) Thus, the [tex]\texttt{RHS}\![/tex] could be minimized by setting the first derivative with respect to [tex]v[/tex] to [tex]0[/tex].
Differentiate the right hand side with respect to [tex]v[/tex]:
[tex]\begin{aligned} & \frac{d}{dv}\left[\frac{e^{k\, v}}{v}\right] \\ =\; & \frac{k\, e^{k\, v}}{v} - \frac{e^{k\, v}}{v^{2}}\\ =\; & \frac{(k\, v - 1)\, e^{k\, v}}{v^{2}}\end{aligned}[/tex].
Setting this first derivative to [tex]0[/tex] and solving for [tex]v[/tex] gives:
[tex]k\,v - 1 = 0[/tex].
[tex]v = (1/k)[/tex].
Therefore, the amount of fuel required for this trip is minimized when [tex]v = (1/k)\; {\rm km \cdot hr^{-1}}[/tex].
Substitute [tex]v[/tex] back and solve for [tex]x_{0}[/tex] (initial amount of fuel on the vehicle.)
[tex]\displaystyle \ln | 100 + x_{0}| = \ln | 100 | + \frac{e^{k\, (1/k)}}{(1/k)}}[/tex].
[tex]\displaystyle \ln | 100 + x_{0}| = \ln | 100 | + k\, e[/tex].
[tex]e^{\ln| 100 + x_{0}|} = e^{\ln|100| + k\, e}[/tex].
[tex]e^{\ln| 100 + x_{0}|} = e^{\ln|100|}\, e^{k\, e}[/tex].
[tex]100 + x_{0} = 100\, e^{k\, e}[/tex].
[tex]x_{0} = 100\, e^{k\, e} - 100[/tex].
In other words, the initial amount of fuel on the vehicle should be [tex](100\, e^{k\, e} - 100)\; {\rm kg}[/tex].
Aaron makes a scale drawing of a rectangular park. The scale he uses is 2 in: 9 ft. What is the actual area of the floor of the park if the dimensions on the scale drawing are 4 in by 8 in?
Answer:
648 sq. ft.
Step-by-step explanation:
The ratio 2:9 can be modified, as any ratio can, as long as you multiply/divide the two sides by the same amount
If you need to find how much the 4-inch side is in ft., you can multiply both sides of the ratio by 2, since 2 x 2 is 4.
2:9 is the same as:
2 x 2: 9 x 2
4in : 18ft
18 ft. is the measurement of the first side
2:9 is also the same as:
2 x 4: 9 x 4
8in:36ft
36 ft. is the measurement of the second side
Multiply the two sides (width x length = area) to get the area of the park
18 x 36
= 648
The grocery store is having a candy sale. Originally, a candy bar was $1.50. The
sale price is $0.50. What is the markdown rate? Round to the nearest whole
percent.
The markdown rate is 66.7%.
Markdown rateUsing this formula
Markdown rate= Change in price/original price×100
Let plug in the formula
Markdown rate=$1.50-$0.50/$1.50
Markdown rate=$1.00/$1.50×100
Markdown rate=66.66%
Markdown rate=66.7% (Approximately)
Inconclusion the markdown rate is 66.7%.
Learn more about markdown rate here:https://brainly.com/question/1153322
PLS HELP ASAP ))
Dilate the triangle by a factor of 2 about the origin.
Answer:
the dilate is when you multiply the prime by the coefficient and the coefficient in this problem is -3 so -3x1=3
Step-by-step explanation:
Please help me with an explanation thank you!
at a basketball game, a vendor sold a combined total of 236 sodas and hot dogs. The number of hot dogs sold was 32 less than the number of sodas sold. Find the number of sodas and the number of hot dogs sold
Answer:
176
Step-by-step explanation:
sodas.....................44+44+44=132
hot dogs............................44
132+44=176
CHECK YOUR WORK
176 X 3=528
DIVIDE 528 BY 3 =176
HELPPPPPP MEEEEEEEEE
Answer: this are the answers and your formula is (x+2, y-5)
k' (-1,-3)
i' (3,-1)
m' (1,-5)
n' (-3,-7)
............................
Convert polar equation to the standard form of each rectangular equation: θ=-135
x - y = 0 is the standard form of the polar equation θ = -135
[tex]\sf \theta \ =-135[/tex]
we should know tan(-135) is 1[tex]\rightarrow \sf tan(\theta) \ =tan(-135)[/tex]
[tex]\rightarrow \sf tan(\theta) \ =1[/tex]
[tex]\rightarrow \sf \dfrac{y}{x} \ = 1[/tex]
[tex]\rightarrow \sf y =x[/tex]
[tex]\rightarrow \sf x -y = 0[/tex]
[tex]\\ \rm\Rrightarrow \theta=-135[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=tan(-135)[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{Perpendicular}{Base}=tan(-\dfrac{3\pi}{4})[/tex]
Perpendicular is y and base is x[tex]\\ \rm\Rrightarrow \dfrac{y}{x}=1[/tex]
[tex]\\ \rm\Rrightarrow y=x[/tex]
Convert to standard form Ax+By+C=0[tex]\\ \rm\Rrightarrow x-y=0[/tex]
(GIVING 30 POINTS!!) Find the discriminant for the following equation: 3x^2 + 4x = 2 Question 3 options: 8 -8 40 -40
Answer:
are you sure?
Step-by-step explanation:
hind ko alm yan eh HAHAHAHA
There are 3 green apples and 8 red apples in a basket what is the ratio of the red apples and the green to all the apples in the basket a. ratio for red b. ratio for green
Answer:
The answer is 3:8 or 3 to 8
Step-by-step explanation:
Write an addition equation or a subtraction equation (your choice!) to describe the diagram.
HELP I NEED THIS ASAP ILL GIVE BRAINLIST
Answer:
um there's nothing there I don't see it?
Answer:
What help
Step-by-step explanation:
_______________________
Part A . If i sell 2 skeins for 5 dollars what is the cost per skin of yarn
Part B. I need 6 skeins of yarn to make an afghan. How much will the yarn cost
Answer: Part A = $2.50, Part B. $15.00
Step-by-step explanation:
Part A. Since 2 skeins of yarn cost 5 dollars, that means each skein must cost 5/2 dollars = $2.50
Part B. Since we know each skein costs $2.50, 6 skeins of yarn would cost 2.5*6 = $15.00
#2
No of skeins=6
Cost=6(2.5)=15$plese help thank yous
what was the water level at 0 minutes when Henry began to fill his tank
Answer:
0
Step-by-step explanation:
he hasn't started filling it yet
Answer:
0
Step-by-step explanation:
because he hasent even started to feel it up yet
]Aisha has 5 candies. If Ken has 8 times as many candies as Aisha, which number sentence shows how many candies Ken has?
A.
5 × 5 = 25
B.
8 × 5 = 40
C.
8 + 5 = 13
Answer:
[B]8 × 5 = 40
Step-by-step explanation:
Aisha has 5 candies. If Ken has 8 times as many candies as Aisha.
8 Times = Multiply.
Therefore, we can get rid of Answer choice [C]
Now, We know that Aisha have 5 candies and ken has 8 times as many therefore, equation =
5 * 8 = 40
which given us.
[B] 8 * 5 = 40 is the correct Answer.
[RevyBreeze]
4x+5t = 22
5x - t = 13
what is x and t
Answer:
5(5x-t)
=13×5
25x - 5t
=65
25x -5t + 4x +5t
=65 + 22
29x
= 87
x
= 87÷29
x =3
substituting x=3 in 5x-t=13
15- t
=13
15 - 13
= t
t = 2
Step-by-step explanation:
A student answers
92
%
of questions on a test before the end of class bell rings. If the student answers
46
questions before the end of class, how many questions are on the whole test?
Answer:
50 questions
Step-by-step explanation:
Given the following question:
92% of 50
To find the answer we have to use the formula to calculate percentage.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{92\times50}{100} =92\times50=4600\div100=46[/tex]
[tex]=46[/tex]
Which means in total there was "50 questions" on the test.
Hope this helps.
Please help me I really need help with. What is -8.2x = 164 and what does x=
Answer:
x = -20
Step-by-step explanation:
Given equation:
-8.2x = 164
Divide both sides by -8.2:
⇒ -8.2x ÷ -8.2 = 164 ÷ -8.2
⇒ x = -20
[tex]\\ \rm\rightarrowtail -8.2x=164[/tex]
[tex]\\ \rm\rightarrowtail 8.2x=-164[/tex]
[tex]\\ \rm\rightarrowtail x=-164/8.2[/tex]
[tex]\\ \rm\rightarrowtail x=-20[/tex]
Use distributive property to calculate the following.
1.) 2(x + y)
2.) 6 x (8 + 10)
3.) 21 x (40 - 10)
Answer:
Step-by-step explanation:
1. 2x + y
2. 48 + 60 = 108
3. 840 - 210 = 630
Shirley estimated the length of a board to be 18 inches. The actual length is 23 inches. To the nearest tenth of a percent, what is the percent error of Shirley's estimate? Enter your answer as a decimal in the box.
The percent error of Shirley's estimate is 21.74%
Calculating pecent errorGiven the following parameters
Actual length = 23 inchesEstimated length = 18in% error = actual-estimated/actual * 100
% error = 23-18/23 * 100
% error = 500/23
% error = 21.74%
Hence the percent error of Shirley's estimate is 21.74%
Learn more on percent error here: https://brainly.com/question/5493941
Answer:
The Correct Answer Is : 21.7
Step-by-step explanation:
I Just Took The Test
Kyilah bought 41.19 grams of chili and 19.415 grams of sugar. Did Kyilah buy more chili or sugar?
Answer:
Chili I think, I don't know for certain
Step-by-step explanation:
Factor completely 36x2 − 25. (6x − 5)(x 5) (6x 5)(6x 5) (6x − 5)(6x − 5) (6x 5)(6x − 5).
The complete factor of the polynomial 36x² - 25 is (6x + 5)(6x − 5). Then the correct option is D.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Factor completely 36x² - 25.
We know that
[tex]\rm a^2 - b^2 = (a+b)(a-b)[/tex]
(6x)² − 5²
(6x + 5)(6x − 5)
The complete factor of the polynomial 36x² - 25 is (6x + 5)(6x − 5). Then the correct option is D.
More about the polynomial link is given below.
https://brainly.com/question/17822016
(15)/(k)=3 solve for k
Answer:
k=5
Step-by-step explanation:
15/5=3
hope it helps!
Answer:
k= 5
Step-by-step explanation:
15/k = 3
=15=3k
=k = 15/3
=k = 5
Please mark my answer the brainliest and rate me 5 star and follow me.please please please please please please
Please help! And no links
Answer:
0.800?
Step-by-step explanation:
i don't really know im just kinda guessing but would't it be right?
Answer:
56 degrees.
Step-by-step explanation:
It looks to me like they want you to find the original angle A and you need to use a scientific calculator unless you know advanced calculus. The arcsine or sine^-1 of 0.829 is approximately 56 degrees.
