Answer:
See below
Step-by-step explanation:
From noon to 1500 is three hours
train A then travels 3x where x = speed in km/hr
train B only travels for 2.45 hours and covers
2.45 ( x + 15) where x + 15 is its speed in km/hr
these two values sum to the 300 km distance
3x + 2.45 ( x + 15) = 300
3x + 2.45 x + 36.75 = 300
x = 48.3 km/hr x+15= 63.3 km / hr
The team gets
6 points for a win
3 points for a draw
O points for a loss.
Work out the total number of points that the team got.
If a function is differentiable, then it is continuous. True or false?
given the size of a rectangle are 6in and 5in find the perimeter and the area of the rectangle
lenght (L)= 6in
Height (H)= 5in
perimeter = 2L+2 h
What is the value of (2/3)^4 ?
Answer:
THE ANSWER IS 81/16 OR C
The two numbers that multiply together to equal -15 and add together to equal -2 are
Answer:
-5, 3
Step-by-step explanation:
solve the inequality:8x+3>2x-15
8x + 3 > 2x - 15
8x - 2x > -15 - 3
6x > -18
x > -3
Answer:
x > -3
Step-by-step explanation:
8x + 3 > 2x - 15
Add -3 and -2x on both sides.
8x - 2x > -15 - 3
6x > -18
Divide 6 into both sides.
x > -18/6
x > -3
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Answer:
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Step-by-step explanation:
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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help pls :') 10th geometry
The value of angle C in given quadrilateral ABCD is 107⁰.
What is the measure of angle C?
The measure of angle C is calculated by applying the following rule of geometry for a quadrilateral as shown below.
Angle A + Angle C = 180 (opposite angles of a quadrilateral are supplementary).
We know the value of angle A, and we are to find the value of angle C as shown below.
C + (2x + 3) = 180
C = 180 - 2x - 3 ------- (1)
Using the knowledge of sum of angles in a quadrilateral, we will calculate the value of x:
A + B + C + D = 360
2x + 3 + 2x - 4 + (180 - 2x - 3) + 3x + 9 = 360
5x + 185 = 360
5x = 175
x = 175/5
x = 35
Angle C = 180 - 2x - 3
= 180 - 2(35) - 3
= 180 - 73
= 107⁰
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the temperatures at midday on march 1st in five cities are shown in the bar chart below. What is the difference in temperature between rome and munich?
The difference in temperature between Rome and Munich is given as follows:
6ºC.
How to obtain the difference in temperatures?The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.
The bar graph in the context of this problem gives the temperature for each town.
From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:
Rome: 11 ºC.Munich: 5 ºC.Hence the difference in temperature between Rome and Munich is given as follows:
11 - 5 = 6ºC.
Missing InformationThe graph is given by the image presented at the end of the answer.
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Samantha invested $40,500 at 6% to be compounded annually. What will be the value of Samantha's investment in 3 years? Round your answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month.
Answer:
7.45
Step-by-step explanation:
of the 200 students in the junior class, 78 of them are in algebra, 85 of them are in geometry and 14 are in both. What is the probability that a junior is in algebra OR geometry?
Probability that a junior is in algbera or geometry = (Probability that a junior is in algbera + Probability that a junior is in geometry) - (Probability that the student is in both algbera and geometry)
Mathematically, we can rewrite the above statement as:
Pr(A or G) = Pr(A) + Pr(G) - P (A & G)
where A = Algbera
G = Geometry
Pr(A) Probability that a junior is in algbera = No of students in algebra class/ Total number of students
Pr(A) = 78/200 = 0.39
Pr(G) Probability that a junior is in geometry = No of students in geometry/ Total number of students
Pr (G) = 85/200 = 0.425
P ( A & G) Probability that the student is in both algebra and geometry = No of students in both algebra and geometry/ Total number of students
P(A & G) = 14/200 = 0.07
Pr(A or G) = (Pr(A) + Pr(G) ) - P (A & G)
Pr(A or G) = (0.39 + 0.425 ) - 0.07
Pr (A or G) = 0.815 - 0.07
= 0.745
Therefore the probability that a junior is in algbera or geometry is 0.745
Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.
Answer:
11x-6+(19x+6)=180°
11x+19x-6+6=180°
30x=180
x=180/30
x=6
it means that
19x+6=19*6+6=114+6=120°
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Step-by-step explanation:
-4x-y=24 complete the missing value in the solutiom to the equation (_,8)
We are given the following equation:
\(-4x-y=24\)We are told that that part of the solution is:
\((x,y)=(-,8)\)Since we are given the value of "y", we can replace this value in the given equation:
\(-4x-8=24\)Now we solve for "x", first by adding 8 on both sides:
\(\begin{gathered} -4x-8+8=24-8 \\ -4x=16 \end{gathered}\)Now we divide both sides by -4
\(x=\frac{16}{-4}=-4\)Therefore the complete solution is:
\((x,y)=(-4,8)\)ASAP PLS Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20° more
than the measure of the second angle. What is the measure of each angle?
Answer:
80°, 40° and 60°
Step-by-step explanation:
Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)
so we will have an equation of
180°=2x + x + (20°+x)
160°=4x
40°=x
so the second angle is 40° as it is represented by just one X
therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!
Ten blocks were placed on a line at 10 cm intervals. Ten pennies between the first two blocks, 20 pennies were places between the next two blocks, then 30 pennies, 40 pennies and so on. How much money was used to fill the spaces?
Answer:
\(234\)
Step-by-step explanation:
\(4+40+60+80+50=234\)
(a) For a normal distribution, find the z-score that cuts off the bottom 60.94% of all the z-scores. Round to 2 decimal places after the decimal point.
Answer:
0.28
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
\(z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation,x=raw \ score\)
From the normal distribution table, the z score that corresponds to the bottom 60.94% (0.6094) = 0.28.
Find the absolute value
-5/6|
Answer:
5/6 OR 0.83 (with the three repeating)
Hope that helps!
Step-by-step explanation:
Create and solve an additional word problem using the following numbers:
Word Problem: Sophie and Joan need to determine whether or not they have enough paint to paint the walls of their bedroom. They need 2 6/7 gallons of paint in order to cover the entire room. Sophie has brought 5/6 of a gallon of paint. What is the minimum amount of paint Joan needs to bring in order to paint the entire wall?
Answer: 2 1/42 gallons
Solving Steps:
2 6/7 - 5/6 (needs to be simplified)6/7 x 6/6 = 36/425/6 x 7/7 = 35/4236/42 - 35/42 = 1/422 + 1/42 = 2 1/42Final Answer: 2 1/42 gallonsI hope this helps!! :)
If $1,000 is invested at 16% interest, compounded annually,
for five years, what is the ending balance?
Answer:
equation; P=A(1+r/n)^nt
P=principal amount
A=value of investment
r= interest rate in decimals
n=number of times compounded
t=time in years
P=1000(1+0.16/12)^12(5)= $2213.8 rounded
Step-by-step explanation:
Someone pls help me I don’t understand it at all
Answer:
D. 4 root 113
Step-by-step explanation:
we have to use Pythagorean Theorem which is
a^2 + b^2 = c^2
where a and b are legs of the triangle that are 45° apart and c is the hypotenuse.
now we just plug in our values.
a^2 + (9)^2 = (47)^2
a^2 + 81 = 2209
now we're gonna solve for A (the missing side)
a^2 = 2128
now we square root both sides to undo the square on A
root(a^2) = root(2128)
because 2128 isn't a pretty root, we have to simplify it
a = 4 root(133)
George measured the weight of a random sample of 49 cartons of apples. The mean weight was 45.5 pounds, with a standard deviation of 3. z equals fraction numerator x with bar on top minus mu over denominator begin display style bevelled fraction numerator sigma over denominator square root of n end fraction end style end fraction To see if the cartons have a significantly different mean weight from 46 pounds, what would the value of the z-test statistic be
Answer:
1.16667
Step-by-step explanation:
When told in the question that random number of sample is tested
z test statistic formula = x - x bar(x with bar above it) /Standard error
From the question
x = raw score = 46 pounds
x bar (x with bar above it)= sample mean = 45.5 pounds
Standard Error = σ/√n
Standard deviation = σ = 3
n = random number of samples = 49
z = 46 - 45.5/3/√49
z = 0.5/ 3/7
z =0.5/ 0.4285714286
z = 1.16667
Therefore , the value of the z test statistic = 1.16667
Answer:
1.17
Step-by-step explanation:
What am I doing wrong? The red box is what I put but it says it’s wrong
Answer:
\(g(x)=2(f(\frac{x-8}{2}))+1\)Step-by-step explanation:
Use the rules for the transformation of functions, remember some of them:
*f(ax) for horizontal compression for 0>a>1.
*f(x-c) for horizontal translations to the right c units.
*bf(x) for vertical stretch b>1.
*f(x)+d vertical translation up d units
Therefore, for the given transformations, g(x) would be:
\(g(x)=2(f(\frac{x-8}{2}))+1\)The table shows the worldwide box office (in billions of
dollars) for the movie industry during the years shown.
Year
2001
2003
2005
2007
2009
Box office
(in billions of dollars)
17.1
18.2
19.3
21.5
23.7
a. Write this paired data as a set of ordered pairs of
the form (year, box office).
What is the ordered pair that corresponds to the first
row of data given in the table?
Answer:
193 is it I'm not lying
Step-by-step explanation:
What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
0.4(12 - 3x) = 0.3(12x - 16)
Step 2: Solve for x
Distribute: 4.8 - 1.2x = 3.6x - 4.8Add 1.2x on both sides: 4.8 = 4.8x - 4.8Add 4.8 on both sides: 9.6 = 4.8xDivide 4.8 on both sides: 2 = xRewrite: x = 2What is the x and y-intercept of the line described by the equation? 14x - 8y = 56 Write your answer as an ordered pair
Answer: (4,0) for x int and (0,-7) for y int
Step-by-step explanation:
At the x-intercept, y = 0.
14x - 8(0) = 56
14x = 56
x = 56/14
x = 4
ordered pair: (4,0)
What are the outputs of the function below?
-6, -3, 1, 5
-6, -3, 4, 6
-8, 2, 4, 6
-8, 2, 1, 5
Answer:
\(5 { \times 54}^{2} \)
y - 4.6 = 12
Pls help
Answer:
y = 16.6
Step-by-step explanation:
y - 4.6 = 12
Add 4.6 to each side
y - 4.6+4.6 = 12+4.6
y = 16.6
Find the area of a rectange with a base of 3/7 feet and a height of 9/10 feet
The area of the rectangle is 27/70 square feet.
Area of a rectangleThe area of a rectangle is given by the formula:
Area = base x height
Plugging in the given values, we get:
Area = (3/7) x (9/10)
Simplifying, we get:
Area = (27/70) square feet
Therefore, the area of the rectangle is 27/70 square feet.
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