Ikkita avtomobil ikki shahardan bir vaqtda bir biri tomon yo'lga chiqdi . Birinchi avtomobil 1 soatda 90 km , ikkinchisi esa 1 soatda 80 km yo'l bosmoqda . Agar ikki shahar orasidagi masofa 1304 km bo'lsa , 2 soatdan keyin ular orasida necha kilometr masofa qoladi ?The two cars drove from the two cities towards each other at the same time. The first car travels 90 km per hour and the second 80 km per hour. If the distance between the two cities is 1304 km, how many kilometers will be left between them after 2 hours?
Answers
Determine the distance covered by the first car in 2 hours.
\(\begin{gathered} d_1=90\cdot2 \\ =180 \end{gathered}\)Determine the distance covered by second car in 2 hours.
\(\begin{gathered} d_2=80\cdot2 \\ =160 \end{gathered}\)Determine the total distance covered by both cars in 2 hours.
\(\begin{gathered} d=d_1+d_2 \\ =180+160 \\ =340 \end{gathered}\)The distance left between them after two hours is difference of 1304 and 340. So left distance between them is,
\(\begin{gathered} D=1304-340 \\ =964 \end{gathered}\)Thus 964 km left between them after 2 hours.
Related Questions
Malcolm and Peiling each have some $50, $10 and $2-notes. The total number of notes they have is the same. The number of $2-notes Peiling has is of the 1 2 4 number of $2-notes Malcolm has. The number of $10-notes Peiling has is the number of $10-notes Malcolm has. Peiling has 8 more $50-notes than Malcolm. The total number of $2 and $10-notes they have is 42. (a) Who has more money? (b) of How many $2-notes do they have altogether?
Answers
In the above word problem,
a) Peiling has more money than Malcolm.b) They (both Peiling and Malcom) have a total of M2 + P2 = 12 + 3 = 15 $2-notes altogether.What is the explanation for the above solution?
Let's denote the number of $50 notes that Malcolm and Peiling have as M50 and P50 respectively. Similarly, we'll denote the number of $10 notes as M10 and P10 and the number of $2 notes as M2 and P2.
From the problem statement we have the following information:
1. The total number of notes they have is the same: M50 + M10 + M2 = P50 + P10 + P2
2. The number of $2-notes Peiling has is 1/4 of the number of $2-notes Malcolm has: P2 = (1/4)M2
3. The number of $10-notes Peiling has is twice the number of $10-notes Malcolm has: P10 = 2M10
4. Peiling has 8 more $50-notes than Malcolm: P50 = M50 + 8
5. The total number of $2 and $10-notes they have is 42: M10 + M2 + P10 + P2 = 42
Substituting equations (2), (3) and (4) into equation (1) we get:
M50 + M10 + M2 = (M50+8) + 2M10 +(1/4)M2
Solving for M50 we get:
M50 = 8 + 2M10 - (3/4)M2
Substituting equations (2), (3), and (4) into equation (5) we get:
M10 + M2 + 2M10 + (1/4)M2 = 42
Solving for M10 we get:
M10 = 14 - (1/12)M2
Substituting this value of M10 into the equation for M50 we get:
M50 = 8 + 28 - M2/6 - (3/4)M2
Solving for M50 we get:
M50 = 36 - (11/6)M2
Since the number of notes must be a positive integer, the smallest possible value for M50 is when M2=6. This gives us a value of M50=35.
Substituting these values back into the equations for P50, P10 and P2 we find that Peiling has P50=43 $50 notes, P10=28 $10 notes and P2=1.5 $2 notes. However, since the number of notes must be a positive integer, this solution is not valid.
The next smallest possible value for M50 is when M2=12. This gives us a value of M50=34. Substituting these values back into the equations for P50, P10 and P2 we find that Peiling has P50=42 $50 notes, P10=28 $10 notes and P2=3 $2 notes.
Now we can calculate the total amount of money each person has:
Malcolm: 34 * 50 + 14 * 10 + 12 * 2 = $1,864
Peiling: 42 * 50 + 28 * 10 + 3 * 2 = $2,386
So to answer part (a) of the question: Peiling has more money than Malcolm.
To answer part (b) of the question: They have a total of M2 + P2 = 12 + 3 = 15 $2-notes altogether.
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Can someone pls help ?
Answers
Find the value of X and perimeter.
Answers
See below.
Step-by-step explanation:
TQ & UQ are 2 tangents from the same external point 'Q' and touches the same circle with centre 'W'.
Given,
UQ = 14 in
Then,
TQ = UQ = 14 in (tangents from same external points are equal to each other)
•°• TQ
= 14
= 7 × 2
=》x = 7 inch
___________
ST = SV = 17 in
Then,
RV
= RS - SV
= 27 - 17
= 10 in
RU = RV = 10 in
Perimeter:
= RS + RQ + SQ
= 27 + (14 + 10) + (14 + 17)
= 27 + 24 + 31
= 82 in
______
Hope it helps ⚜
p= ?
m∠RTS=?
explain how you find the requested values
Answers
The angle of the T in the ΔRST is 100° and the value of p is 11.
Define Triangle.
A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.
i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.
Given:
∠R = 37°; ∠S = 43°; ∠T = 10p-10°
Let's take ∠T = x
In ΔRST,
∠R + ∠S + ∠T = 180°
37 + 43 + x = 180°
x = 180 - 80 ⇒ 100
∴ ∠T = 100°
To find the value of p,
∠T = 100
10p - 10 = 100
10p = 110 ⇒ 11
∴ p = 11
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The function D =25+0.3 X represents the daily dental charge D in dollars for X miles driven
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
\(D = 25 + 0.3X\)
The question has missing details; as what's required is not stated.
However, since it is a linear equation, possible questions could be
1. Determine the slope
2. Determine the D-intercept
3. Calculate the amount in dollars for (say) 5 miles
An equation is represented as:
\(D = b + mx\)
Where
\(b = D\ intercept\)
\(m = slope\)
By comparing: \(D = 25 + 0.3X\) to \(D = b + mx\)
\(b = 25\) and \(m = 0.3\)
This means that the slope is 0.3 and the d intercept is 25
To get the amount for 5 miles, we substitute 5 for x in \(D = 25 + 0.3X\)
\(D = 25 + 0.3 * 5\)
\(D = 25 + 1.5\)
\(D = 26.5\)
The cost of 5 miles is $26
Make use of the above explanation to solve the question
Lisa is flying from Boston to Denver with a connection in Chicago. The probability her first flight leaves on time is 0.25 . If the flight is on time, the probability that her luggage will make the connecting flight is 0.8 , but if the flight is delayed, the probability that the luggage will make it is only 0.65. Suppose you pick her up at the Denver airport and her luggage is not there. What is the probability that her first flight was delayed?
Answers
Answer:
The probability is 0.33
Step-by-step explanation:
Please find the attachment for detail
Please help !!!!!!!!!! , i don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.
Answers
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Hope this helps :D
The graph of the function rule that models the volume of the sphere has symmetry with respect to ____?
Answers
The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.
Explain the term symmetry along origin?About the Origin: Symmetry. If a point appears on a graph at every time, then the graph is symmetric having respect to the origin. When seen in relation to the origin, this graph is symmetric.A function having a single term which is the sum of a real number, the coefficient, as well as a variable raised to something like a fixed real number is called a power function. (A coefficient is a number which multiplies a variable by an exponent.) Think of equations like area or volume as an illustration.For the stated question.
The volume of the sphere is modeled by the power function with respect to the radius as;
V = f(r) = 4/3πr³
As, r is independent of any of the coordinate axis.
Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.
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Solve the system by substitution.
y = -6x +8
7x + 2y = -14
Answers
Answer:
y=-28 and x=6
Step-by-step explanation:
y=-6x+8...... eqn(1)
7x+2y=-14.......eqn(2)
Two times equation (1)
2y=-12x+16..... eqn(3)
2y=-14-7x........ eqn (2)
eqn(3) - eqn(2)
0=-5x+30
5x=30
x=6
from eqn (1) where x=6
y=-6(6)+8
y= -36+8
y=-28
Find volume of the square pyramid if the area of the base is 72 cm² and the height is 13cm. 312 cm 218 cm 834 cm 526 cm
Answers
The volume of the pyramid is given as:
\(V=\frac{1}{3}Bh\)where B is the area of the base and h is the height.
In this case the area of the base is 72 and the height is 13, then the volume is:
\(V=\frac{1}{3}(72)(13)=312\)Therefore the volume is 312 squared cm.
please help!! :( A larger circle contains white, striped, and black squares in the same ratio as those shown in the circle below. If the larger circle contains 162 squares, how many of them are black?
Answers
The answer is 54, I just counted all the squares which gave me 9, I than multiplied by 18= 162. But that wasn't it, so I divided it by 3, and I got the answer 54.
MESSAGE ME IF I'M WRONG! :')
PLS HELP ME WITH MY GEOMETRY GUYS PLS
Answers
Answer:
(6, 3)
Step-by-step explanation:
x=6 y=3
2(6) -3 =9
12 -3 = 9
Answer:
(3,-3)
but there are infinately many more.
Step-by-step explanation:
We need to find a pair of numbers that when substituted in 2x-y we get 9.
because this equation is linear there are actually an infinite number of solutions. So all we have to to is pick a random number for x, say 3, and there will only be 1 value of y that will satisfy the equation, so we just plug it in.
let x =3
2x - y = 9 ⇒ 2×3 - y = 9
⇒ 6 -y = 9
⇒ -y = 3
⇒ y = -3
so (3,-3) is a solution
Ms.Monet gave 1cup of red paint to each of her 20 students .How many quarts of red paint did she give out?
Answers
1 cup for each of the 20 students.
1 x 20= 20
20 cups
4 cups =1 quart.
20/4 = 5
Answer: 5 quarts
9x +y=-5
Coefficient of x
Answers
Answer:
x=-14y
Step-by-step explanation:
9x+y=-5
x+y=-5-9
x+y=-14
x=-14y
Let y be the number of dollars that Jon has and let x be the number of dollars Steve has. The graph shows the relationship between how much money they each have, as Jon pays Steve
Answers
The \(y\) and \(x\) axes in the above graph are compared to how much money Jon and Steve have, respectively. Thus, \(y=6+x\) is the pictorial representation.
What are type and graph?A graph is referred to as a mathematical construct that connects a collection of points to express a certain function. A pairwise link between the items is established using it. The lines that link the graph's vertices (also known as nodes) are its vertices (lines).
What purposes do graphs serve?A common technique for graphically showing data linkages is the graph. Although takes up less space, a graph accomplishes the goal of conveying which is either too many more and complicated to be completely stated in the words.
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Find the axis of symmetry and vertex for the parabola y=−5x2+30x+7.
Answers
Answer:
axis of symmetry x=3
vertex (3, 52)
Step-by-step explanation:
y = -5x² + 30x + 7
x = -b/2a = -30/2(-5) = -30/-10 = 3
y = -5(3)² + 30(3) + 7
y = -45 + 90 + 7
y = 52
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
Answers
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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heather poured 11 gallons of water into an empty tank. It filled the tank, so it was 2/5 full. How many gallons in a full tank
Answers
Answer: 27.5 gallons in a full tank
Step-by-step explanation:
Let's call "x" the entire tank.
After adding 11 gallons, in the end, he has 2/5 tanks full
so the equations would be
11=2/5x
solve for x
x=55/2
x=27.5
27.5 gallons
Question in the pic, please explain your answer
Answers
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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Roselyn buys 6 notebooks and 4 dry erase markers. The price of each item is listed below
notebook: 1.95
dry erase markers:200
Answers
The total costs of the 6 notebooks and 4 dry-erase markers that Roselyn buys are $19.70.
How are the total costs determined?The total costs can be determined using mathematical operations.
The first mathematical operation used is the multiplication operation, involving the multiplicand and the multiplier, to determine the total cost of each item.
The second mathematical operation is the addition operation to determine the grand total.
Unit Prices:Notebook: 1.95
Dry erase markers: 2.00
Total Costs:Notebook: $11.70 ($1.95 x 6)
Dry erase markers: $8.00 ($2.00 x 4)
Total costs = $19.70
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Question Completion:The price of each item is listed below
notebook: 1.95
dry erase markers: 2.00
What are the total costs?
find the area of the parallelogram. The figure is not drawn to scale.
Answers
Answer:
1330 in.
Step-by-step explanation:
38 x 35 = 1330
Answer:
1330
Step-by-step explanation:
area = b x h
base (38)
height (35)
38 x 35 = 1330
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answers
If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.
Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.
From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.
Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.
So,
length of arc LNM=Circumference of circle-length of arc LKM.
We know that length of an arc =Θr
in which Θ is the angle in radian.
length of arc=70*π\(/180*5\)
=70π\(/36\)
Circumference of circle=2π*5
=10π
Length of arc LNM=10π-70π\(/36\)
=(360π-70π)\(/36\)
=290π\(/36\)
Put π=3.14
=290*3.14\(/36\)
=910.6\(/36\)
=25.29m
Hence the length of arc LNM is 25.29 m.
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17. the shaft is supported at its ends by two bearings a and b and is subjected to the forces applied to the pulleys fixed to the shaft. determine the resultant internal loadings acting on the cross section at point d. the 400-n forces act in the -z direction and the 200-n and 80-n forces act in the y direction. the journal bearings at a and b exert only y and z components of force on the shaft.
Answers
The resultant normal force at point D along the x-direction is \(F_D_x=0\) and the resultant shear force at point D along the y-direction is \(F_D_y=154.29N\)
Consider the equilibrium of the shaft.
Resolve the forces along the y-direction.
\(R_A_y+R_B_y=200+200+80+80R_A_y+R_B_y=560-----(1)\)
Take moments about point B and about the z-axis:
\(R_A_y*1.4=2*100*0.7+2*80*0.4\\\\R_A_y=245.71\)
Substitute the above value in equation (1).
\(245.71+R_B_y=560\\\\R_B_y=314.29N\)
Resolve the forces along the z-direction.
\(R_A_z+R_B_z=385+385R_A_z+R_B_z=770-----(2)\)
Take moments about point B and about the y-axis:
\(R_A_z*1.4=2*385*1.1\\\\R_A_z=605N\)
Substitute the above value in equation (2).
\(605+R_B_z=770\\\\R_B_z=165N\)
a) The resultant normal force at point D along the x-direction is
\(F_D_x=0\)
b) The resultant shear force at point D along the y-direction is
\(F_D_y-R_B_y+2*80=0\\\\F_D_y-314.29+160=0\\F_D_y=154.29N\)
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8x^2-25x+3 show work
Answers
Answer:
look for the factors for the expression
8x^2-x-24x+3
x(8x-1)-3(8x-1)
(8x-1)(x-3)
solve for x 6 (8X minus 1) equals 9 (x + 2)
Answers
Answer:
x = \(\frac{8}{13}\)
Step-by-step explanation:
Given
6(8x - 1) = 9(x + 2) ← distribute parenthesis on both sides
48x - 6 = 9x + 18 ( subtract 9x from both sides )
39x - 6 = 18 ( add 6 to both sides )
39x = 24 ( divide both sides by 39 )
x = \(\frac{24}{39}\) = \(\frac{8}{13}\)
The graph of f is translated a whole number of units horizontally and vertically to obtain the graph of h
The function f is defined by f(x) = square root of x
Write down the expression for h(x).
Answers
The expression for h(x) is,
⇒ h (x) = √(x - 2) + 4
Now, Given that;
Initially the graph f (x) is shifted horizontally to the right.
When the graph shifts to right the function then becomes
f (x) → f (x-b)
Where b is the units by which it is shifted towards right .
So, in the figure we can see that it is shifted 2 units to the right .
So, f(x) → f(x-2)
Since f(x) is,
⇒ f (x) = √x
So, f (x-2) = √x - 2
Now, the new obtained graph is again shifted vertically upward
When the graphs shifts upward;
⇒ f(x) → f(x) + b
where b is the units by which it is shifted upward
So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift
i.e. f(x) → f(x) + b
So, Our new graph h(x) = f(x-2) + 4
⇒ h (x) = √(x - 2) + 4
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A certain group of test subjects had pulse rates with a mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of 147.6 beats per minute significantly low or significantly high?
Answers
Answer:
The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.
Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.
This means that \(\mu = 75.2, \sigma = 11.2\)
Is a pulse rate of 147.6 beats per minute significantly low or significantly high?
We have to find Z when X = 147.6. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{147.6 - 75.2}{11.2}\)
\(Z = 6.46\)
The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.
the mean, the median, and the are basic statistical measures that determine characteristics of a given group of numbers.
Answers
Answer:
middle set of data
Step-by-step explanation:
What is the answer to this 4÷ 2/9
Answers
0.22222222222 (ETC)
Hope that helps
Answer:
18 the answer is 18
Step-by-step explanation:
i hope you have a good day
write log2 1/16=-4 in exponential form
Answers
Therefore , the solution of the given problem of expressions comes out to be the exponent is -4 and the base is 2, meaning that 2 raised to the power of -4 = 1/16.
What exactly is an expression?Estimates should not be produced at random but rather by increasing, decreasing variable, and stopping moving numbers. They could only be able to assist one another by transferring equation, resources, or answers to problems. In addition to numerical computations as addition, negation, synthesis, and combination, a statement of truth may also contain formulas, components, and notations.
Here,
In exponential form,
=> log2 1/16 = -4 is represented as:
=> 2⁻⁴ = 1/16
In this case, the exponent is -4 and the base is 2, meaning that "2 raised to the power of -4 = 1/16."
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