Answer:
-3/2
Step-by-step explanation:
Let x be the missing number
x*[tex]\frac{14}{25}[/tex] = [tex]\frac{-28}{75}[/tex] x = [tex]\frac{-28}{75}[/tex] * [tex]\frac{25}{14}[/tex] inverse 14/25 since it's a fraction x = [tex]\frac{-28*25}{75*14}[/tex] x = [tex]\frac{-4*7*25}{25*3*7*2}[/tex] write 75 as 25*3 and -28 as -4*7 to simplify x = [tex]\frac{-4}{6}[/tex] -4 is left on the top and 6 = 3*2 x = [tex]\frac{-3*2}{2*2}[/tex] x= [tex]\frac{-3}{2}[/tex]Subtracting Rational Numbers Simplify –3 – 1.
Answer:
-4
Explanation:
when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.
Answer: -4
Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.
So we have -1 + -1.
Now let's use a number line to find our answer.
Starting at 0, -3 moves us 3 units to the left, then from there,
-1 moves us 1 more unit to the left and we end up at -4.
So -3 + -1 is -4.
Find the the perimeter of triangle JKL
Answer:
60
Step-by-step explanation:
Tangents to a circle from a common external point are congruent, thus
JA = JB = 6
AL = KC = 11
CK = KB = 13
Thus
perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60
The perimeter of a triangle JKL is 60 units. Therefore, option D is the correct answer.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
Given that,
Given that, JK, KL and LJ are all tangent to O. JA=6, AL=11 and CK=13.
In the figure,
From the external point J, tangents JA=JB
JB=6
From the external point L, tangents AL=LC
LC=11
From the external point K, tangents KB=KC
BK=13
So, JL=JA+LA
JL=6+11=17
LK=LC+CK
= 11+13
= 24
JK=JB+KB
= 6+13
= 19
Now, the perimeter is JL+LK+JK
= 17+24+19
= 60 units
Therefore, option D is the correct answer.
Learn more about the tangent of a circle here:
https://brainly.com/question/27009841.
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A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains pure antifreeze. The company wants to obtain gallons of a mixture that contains pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed
Answer: Water: 120 gallons
Premium Antifreeze: 200 gallons
Step-by-step explanation:
Had to complete the question first.
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 80% pure antifreeze. The company wants to obtain 320 gallons of a mixture that contains 5% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Water: ____ gallons
Premium Antifreeze: _____ gallons
Solution:
Let w = amt of water required
An equation based on the the percent water, an 80% solution is 20% water
Multiply through
= 20% (320 - w) + w = 50% x ( 320)
64 - 0.2w + w = 160
Collecting like times
0.8w = 160 - 64
w = 96%
w = 120 gal of water to produce 320 gal of 50% antifreeze
320 - 120 = 200 gal of 80% solution
Water: 120 gallons
Premium Antifreeze: 200 gallons
Eva is working out the area of the triangle. The base is 7.8 cm and the length of one side is 6.3 cm. I multiply and then divide by 2. What mistake has Eva made?
Answer:
1/2✖️7.8✖️6.3.
She needs to multiply 1/2 instead of dividing it by two.
Step-by-step explanation:
Triangle area: 1/2✖️base✖️height
Answer:
Eva multiplied by two, and not 1/2.
Step-by-step explanation:
To find the area of a triangle, you must multiply the base and the height by 1/2.
Height: 6.3cm
Base: 7.8cm
1/2×6.3×7.8= 24.57
PLEASE HELP WITH THIS 25POINTSSSS!!!!!!
How much metres per second did the cyclist travel from 8 a.m. to 10 a.m? (*TIP: 2 hours = 7200 seconds, 2 km= 2000 m). Give the formula used, show your working and round off your answer to two decimal places. Don't forget the unit!
Answer:
[tex]Speed = 0.28m/s[/tex]
Step-by-step explanation:
Your question seem incomplete; however, I'll assume the given tips as the usable parameters.
Given
Distance = 2km
Time = 2 hours (8am to 10am)
Required
Calculate speed (in metres per seconds)
Speed is calculated as follows:
[tex]Speed = \frac{Distance}{Time}[/tex]
Substitute 2 km for distance and 2 hours for time.
[tex]Speed = \frac{2km}{2hr}[/tex]
Convert km to metres an hr to seconds.
[tex]Speed = \frac{2000m}{7200s}[/tex]
[tex]Speed = 0.277778 m/s[/tex]
[tex]Speed = 0.28m/s[/tex] (Approximated)
Hence, the cyclist travels at 0.28m/s
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Step-by-step explanation:
In my opinion the reason 4 is incorrect
Answer:
Step-by-step explanation:
step 4 suppose to be :Step 2: Multiply both sides by 2/3.
(2/3)*(3/2x)=(2/3)*(60)
Please answer this question now in two minutes
Answer:
c. Not enough information
A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? (1 point)
Answer:
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
The ordered pairs are: (100, 135) and (500, 375)
The first number is the number of minutes of usage and the second number is the charge of the month.
The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6
Step-by-step explanation:
Can someone please explain to me where did he get that 13 from or how to get it?
Answer:
2/9 * (-4 - 3) + 3
= 2/9 * (-7) + 3
= -14/9 + 3
= -14/9 + 27/9
= 13/9
Hope you can answer this one!! Offering BRAINLIEST!! Just answer a comfortable amount if you want! :))
el 2 porsiento del 2 porsiento del 2 porsiento de 100 es uno
Answer:
No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.
Step-by-step explanation:
100 * 2% = 100 * 0.02 = 2
2 * 2% = 2 * 0.02 = 0.04
0.04 * 2% = 0.04 * 0.02 = 0.0008
Which equations are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A x = − x + x + 0 + x x=−x+x+0+xx, equals, minus, x, plus, x, plus, 0, plus, x (Choice B) B x = 0 + ( x + 0 ) x=0+(x+0)x, equals, 0, plus, left parenthesis, x, plus, 0, right parenthesis (Choice C) C None of the above Stuck?Watch a video or use a hint.
Answer:I cStep-by-step explanation:
I really neeed helllpppp
Step-by-step explanation:
It's given that <KPL and <JPL are linear pair so when we add both we will get 180° so
<KPL + <JPL = 180° [ Being linear pair ]
2x + 24 + 4x + 36 = 180
6x + 60 = 180
6x = 120
x = 120/ 6
Therefore x = 20
Now
x = 20
m<KPL = 2x + 24 = 2 * 20 + 24 = 64
m<JPL = 4x + 36 = 4 *20 + 36 = 116
A walking path across a park is represented by the equation A walking path across a park is represented by the equation y= -3x-3. A New path will be built perpendicular to this path. The Paths will intersect at a point paths will intersect at a point (-3, 6). Identify The equation that represents the new path.
Answer:
The equation representing the new path is;
[tex]y = \dfrac{1}{3} \cdot x + 7[/tex]
Step-by-step explanation:
The equation of the first walking park across the park is y = -3·x - 3
By comparison to the equation of a straight line, y = m·x + c, where m = the slope of the line, the slope of the line y = -3·x - 3 is -3
The park's new walking path direction = Perpendicular to first walking path
A line perpendicular to a line of (as example) y = m₁·x + c has a slope of -1/m
∴ The park's new walking path slope = -1/(Slope of first path) = -1/(-3) = 1/3
The point the paths will intersect = (-3, 6)
The equation of the line is found by recalling that [tex]Slope, \, m_1 =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where:
y₂ and x₂ are coordinates of a point on the new walking path
y₁ and x₁ are coordinates of a point on the new walking path intersecting the first walking path
Given that (-3, 6) is the intersection of the two walking paths, therefore, it is a point on the new walking path and we can say x₁ = -3, y₁ = 6
Therefore, we have;
[tex]Slope, \, m_1 =\dfrac{y_{2}-6}{x_{2}-(-3)} = \dfrac{y_{2}-6}{x_{2}+3} =\dfrac{1}{3}[/tex]
Which gives;
(y₂ - 6) × 3 = x₂ + 3
y₂ - 6 = (x₂ + 3)/3
y₂ = (x₂ + 3)/3 + 6 = 1/3·x₂ + 1 + 6 = 1/3·x₂ + 7
Which gives the equation representing the new path as [tex]y = \dfrac{1}{3} \cdot x + 7[/tex].
Which expression gives the solutions to the equation 2x^2 + 5x – 10 = 0?
Answer:
D.
Step-by-step explanation:
The formula to find the solutions of a quadratic equation is -b plus or minus the square root of b^2 - 4ac divided by 2a. In this case, a = 2, b = 5, and c = -10.
[tex]\frac{-b +-\sqrt{b^2 - 4ac} }{2a}[/tex]
= [tex]\frac{-5 +-\sqrt{5^2 - 4*2*-10} }{2 * 2}[/tex]
So, the right answer should be the choice on the lower right corner.
Hope this helps!
perpendicular to 2x-3y+12=0
Answer:
3x +2y = 0
Step-by-step explanation:
Swapping the x- and y-coefficients and negating one of them will get you a perpendicular line. Since you have not specified a point, we can make it go through the origin:
3x +2y = 0
31.7+42.8+26.4+x/4=39.1 100.9+x/4
31.7 + 42.8 + 26.4 + x/4 = 39.1
Add up all the plain numbers on the left side:
100.9 + x/4 = 39.1
Subtract 100.9 from each side:
x/4 = 39.1
Multiply each side by 4:
x = 156.4
Answer:
Step-by-step explanation:
To solve this, we have to first find the sum of each of the terms on the numerator of the fraction on the right:
31.7 + 42.8 + 26.4 + x = 100.9 + x
The sum of terms ind the numerator of the fraction on the right.
39.1 + 100.9 + x= 140 + x
Next step is to cancel out the denominators as they are equal.
Now we are left with
100.9+x = 140+x
Rearrange and solve
To get x = 156.4
The probability distribution for the number of students in statistics classes at is given, but one value is missing. Fill in the missing value, then answer the questions that follow. Round solutions to three decimal places, if necessary. x P ( x ) 23 0.08 24 0.12 25 0.15 26 27 0.1 Find the mean number of students in a Statistics class at : μ = Find the standard deviation of the number of students in a Statistics class at : σ =
Answer:
The mean number of students in a Statistics class = 25.47
The standard deviation of the number of students in a Statistics class = 1.081.
Step-by-step explanation:
We are given the following probability distribution for the number of students in statistics classes below;
X P(X) [tex]X \times P(X)[/tex] [tex]X^{2} \times P(X)[/tex]
23 0.08 1.84 42.32
24 0.12 2.88 69.12
25 0.15 3.75 93.75
26 0.55 14.3 371.8
27 0.10 2.7 72.9
Total 1 25.47 649.89
The missing value against value 26 is calculated as;
= 1 - (0.08 + 0.12 + 0.15 + 0.10) = 0.55
The mean of the following data is given by;
Mean,[tex]\mu[/tex] = [tex]\sum X \times P(X)[/tex] = 25.47
The variance of the following data is given by;
Variance,[tex]\sigma^{2}[/tex] = [tex]\sum X^{2} \times P(X) - (\sum X \times P(X))^{2}[/tex]
= [tex]649.89 - (25.47)^{2}[/tex]
= 1.1691
Standard deviation = [tex]\sqrt{1.1691}[/tex] = 1.081
Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins if the insured were to die, what is the expected value of this insurance policy to BIC?
Round to the nearest silver coin as needed. If the expected value is a loss to BIC, enter your answer as a negative number.
Answer:
-3901 silver coins (a loss)
Step-by-step explanation:
Probability of surviving the quest = 85.4% (Gain of 5,533 silver coins.)
If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 59,086 silver coins.
Therefore:
The probability of not surviving the quest = 100%-85.4% =14.6%
Therefore, the expected value of this insurance policy to the insurance company
[tex]=(5,533 X 85.4\%)+(-59,086 X 14.6\%)\\=(5,533 X 0.854)+(-59,086 X 0.146)\\=-3901.37\\\approx -3901$ silver coins[/tex]
The expected value of this insurance policy to BIC is -3901 silver coins
The expected value of this insurance policy to BIC is -3901 silver coins (a loss)
Calculation of the expected value:Since st to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins
So here the expected value is
= 85.4% of 5,533 + (14.6% of -59,086)
= -3901
Hence, The expected value of this insurance policy to BIC is -3901 silver coins (a loss)
Learn more about policy here: https://brainly.com/question/10189250
The figure à shown on ancient coin which was once used in china.the coin is in the shape of a circle of radius 3cm with a square of sides x cm removed from its center.the area of each face of coin is 7picm2.
(1)from an equatin in x and showw that itvis reduces to 2pi-x2=0.
(2)solve the equation 2pi-x2=0.
(3)find the perimeter of the square
Answer:
(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm
Step-by-step explanation:
(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²
The area of the square of x sides removed from its center is x².
The area A of the each face of the coin is thus A = 9π - x²
Since the area of each face of the coin A = 7π cm²,
then
7π = 9π - x²
9π - 7π - x² = 0
2π - x² = 0
(2) Solve the equation 2π - x² = 0
2π - x² = 0
x² = 2π
x = ±√(2π)
x = ± 2.51 cm
Since x cannot be negative, we take the positive answer.
So, x = 2.51 cm
≅ 2.5 cm
(3) Find the perimeter of the square
The perimeter of the square, p is given by p = 4x
p = 4 × 2.51 cm
= 10.04 cm
≅ 10 cm
Fred is making two rectangular flower beds.
The dimensions of the larger rectangle will be three times the dimensions of the smaller
rectangle.
There is going to be the same depth of soil in each flower bed.
Fred needs 180 kg of soil for the smaller flower bed.
Work out how much soil Fred needs for the larger flower bed.
Answer:
1620 kgSolution,
Let the length and breadth of smaller rectangle be l and b.
Length and breadth of larger rectangle be 3L and 3 b.
Besides, depth is same in both beds.
As area of small rectangle=180
Area of larger rectangle:
[tex]3l \times 3b \\ = 9lb \\ = 9 \times 180 \\ = 1620 \: kg[/tex]
Hope this helps..
Good luck on your assignment..
Please help! It is Geometry
Answer:
X=20; pqr = 130°
Step-by-step explanation:
They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°
Can someone please help I really need help
1 pound = 16 ounces.
9 pounds of sand x 16 = 144 total ounces of sand.
144 ounces / 6 ounce bottle = 24
He made 24 bottles.
Answer:
24 bottles
Step-by-step explanation:
Trevor bought 9 pounds of sand
He fills 6-ounce bottles
First let's convert pounds to ounces:
9 pounds= 9*16 ounces= 144 ouncesNow, number of bottles required:
144 / 6 = 24 bottlesPlease help me!!!!!!!!!!!!!!!!!
Answer:
A is the correct option.
Step-by-step explanation:
1/12 = 0.0833333333
Answer:
Option A
Step-by-step explanation:
=> [tex]\frac{1}{12}[/tex] = 0.8333.........
=> [tex]\frac{7}{8}[/tex] = 0.875
=> [tex]\frac{14}{25}[/tex] = 0.56
=> [tex]\frac{17}{20}[/tex] = 0.85
=> [tex]\frac{6}{10}[/tex] = 0.6
So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.
Elena compró 34 de kilogramos de manzanas, 12 kilogramo de mangos y 2 kilogramos de naranjas. ¿Cuántos kilogramos de fruta compró en total? ¿Está bien resuelto el problema? ____ ¿Por qué? { Aguien que me ayude lo tengo que enviar mañana y con prodecimientoooo xd
Answer: 48 kilogramos de fruta
Step-by-step explanation:
Hola, para resolver este problema simplemente hay que sumar las cantidades de cada fruta:
Kilos de manzanas + kilos de mangos+ kilos de naranjas:
Matemáticamente hablando:
34+12+2 = 48 kg
Elena compro 48 kilogramos de fruta en total.
Si quedo alguna duda no dudes consultar con un comentario.
? of 72 = 45 (answer in fraction)
Answer:
5/8
Step-by-step explanation:
72 = 16/10 of 45
45 = 10/16 = 5/8 of 72
help me out please need this
the answer is ur guy
Acellus
Find the value of x that will make
L||M.
2+5
x-5
--
X -
- [?]
Answer:
x = 60
Step-by-step explanation:
L // M
Sum of co-interior angles = 180
2x + 5 + x - 5 = 180
Add the like terms
3x + 0 = 180
3x = 180
Divide both sides by 3
3x/3 = 180/3
x = 60
assume the graph of a function of the form y=asin(k(x+b)) is given below. which of the following are possible values for a, k, and b?
Answer:
C
Step-by-step explanation:
Okay, here we have the equation of the sine wave as;
y = asin(k(x + b))
By definition a represents the amplitude
k represents the frequency
b represents the horizontal shift or phase shift
Now let’s take a look at the graph.
By definition, the amplitude is the distance from crest to trough. It is the maximum displacement
From this particular graph, amplitude is 4
K is the frequency and this is 1/period
The period ;
Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)
F = 1/T = 1/1/2 = 1/0.5 = 2
b is pi/4 ( phase is positive as it is increasing rightwards)
So the correct option here is C
Answer: it is
a=4, k=2, and b= pi/4
Step-by-step explanation:
got it right on A P E X