Question 10
A car park has 880 parking spaces.
Some of the spaces are reserved.
The ratio of reserved spaces: not reserved spaces = 1:10.
Work out the number of spaces that are not reserved.
Step-by-step explanation:
work he in a department store
PLEASE HELP ME‼️(IMAGE ATTACHED)
Solve the system of equations using determinants.
3x + 5y = 27
2x - y = -8
Find the values of determinants D, Dx and Dy
D=?
Dx=?
Dy=?
By simplificatiοn, the values οf the determinants are D = -13, Dx = -11, Dy = -60
What is a determinant οf a matrix?A determinant is a scalar value assοciated with a square matrix. The determinant οf a matrix can be used tο determine whether a matrix is invertible (i.e., has an inverse matrix) and whether a system οf linear equatiοns has a unique sοlutiοn, nο sοlutiοn, οr infinitely many sοlutiοns.
For a 2x2 matrix A = \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\), the determinant is calculated as det(A) = ad - bc
To solve the system of equations using determinants, we need to set up the following matrix:
\(\left[\begin{array}{ccc}3&5\\2&-1\\\end{array}\right]\)
The determinant οf this matrix (D) is fοund by using the fοrmula:
D = (3)(-1) - (5)(2) = -13
Tο find the value οf Dx, we replace the x-cοefficients in the matrix with the cοnstants frοm the equatiοns:
\(\left[\begin{array}{ccc}27&5\\-8&-1\\\end{array}\right]\)
Then, we find the determinant οf this matrix:
Dx = (27)(-1) - (5)(-8) = -11
Tο find the value οf Dy, we replace the y-cοefficients in the matrix with the cοnstants frοm the equatiοns:
\(\left[\begin{array}{ccc}3&27\\2&-8\\\end{array}\right]\)
Then, we find the determinant οf this matrix:
Dy = (3)(-8) - (27)(2) = -60
Therefore, the values οf the determinants are:
D = -13
Dx = -11
Dy = -60
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A runner sprinted 103.76 yd to finish a race.
Use the table of facts to find the distance she sprinted in feet.
Round your answer to the nearest tenth.
Answer:
311.3 feet
Step-by-step explanation:
1 yard = 3 feet
Therefore, 103.76 yards = 311.28 feet (by multiplying 103.76 by 3)
Rounding to the nearest tenth gives us 311.3 feet.
which number is equal to 4 half
Answer:
2
Step-by-step explanation:
4 halves=2
1 half=0.5
2 halves=1
3 halves=1.5
4 halves=2
At an online sports store, Jeremy bought 5 of the same pairs of shorts for him and his friends. He got free shipping because his total was at least $120. What was the minimum price of each pair of shorts? Write and solve an inequality to represent the situation.
Plz help no file
Answer:
24
Step-by-step explanation:
I'm pretty sure that it would be division so 120 divided by 5 is 24
Find the volume of a tissue box that has the following dimensions:
Length=20 cm
Width= 5 cm
Height= 12 cm
Volume=______
Answer:
1,200
Step-by-step explanation:
The formula is Length x Width x Height so it will be 20 x 5 x 12 and you get 1,200.
Hope this helps!
Julian belongs to a club that is marching in a parade. Each member of the club needs to wear one of the hats listed in the table below.
PARADE HATS
Straw Hat
25 red
20 white
40 blue
Cowboy Hat
30 red
25 white
10 blue
Julian chooses the first hat at random from all the hats. What is the probability the hat Julian chooses is blue? Show your work or explain your answer.
The probability Julian chooses a blue hat is 1/3.
What is the probability Julian chooses a blue hat?Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.
Total hat is:
= 25+20+40+30+25+1
= 150.
There are a total of 150 hats to choose from.
The number of blue hats to choose from is:
= 40 + 10
= 50.
The probability that Julian chooses a blue hat is:
= 50/150
= 1/3
= 0.33 or 33.33%.
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The weights X of an animal are distributed according to the
probability distribution shown.
What is the probability that the animal's weight will be less than
151 pounds?
O 0.25
O 0.50
O 0.60
O 0.75
The probability that the animal's weight will be less than 151 pounds is 0.50.
The correct option is B.
What is the probability that the animal's weight will be less than 151 pounds?Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.
From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.
Therefore, the answer is O 0.50.
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Cindy tried to find the sum of the exterior angles of the hexagon. What was her error?
will mark brainiliest!
Step-by-step explanation:
Simple, she found the sum of the interior angles not exterior angles.
The exterior angles of any polygon add up to 360 degrees.
What Cindy did was found the total interior angle measure of a hexagon which is 720
The actual length of the ship is 575 feet. The scale of the model is 1 inch: 25 feet. What will be the length of the model?
The length of the model as described in the task content would be; 23 inches.
What is the length of the model?According to the task content, it follows that for every 25 feet measure of the actual ship length, the representation is 1 inch on the model.
On this note, for 575 feet length of the actual ship, the length of the model is; 575/25 = 23 inch.
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Find the x intercepts. Show all possible solutions.
For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.
f(x) = 7/8x² - 14
Substitute f(x) with 0 -
0 = 7/8x² - 14
Add 14 to both sides -
7/8x² = 14
Multiply both sides by 8/7 -
x² = 16
Take the square root of both sides -
x = ±4
Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.
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Let H(t) = 68 + 93(0.91)^t give the temperature of a cup of coffee in degrees Fahrenheit t minutes after it is brought to class.
1 Find formulas for H(t + 15) and H(t) + 15.
2 Graph H(t), H(t + 15), and H(t) + 15.
3 Describe in practical terms a situation modeled by the function H(t + 15).
Answer:
Go to demose and plug it in it worked for me but it wont let me out a link in my awnser.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
153.86
Step-by-step explanation:
Do 3.14 times 7 to the power of 2
Hope this helps
Answer:
152.86
Step-by-step explanation:
To find the area of a circle you have to find the radius for this circle we have the diameter so to find the radius we divide the diameter: 14 by 2
14 / 2 = 7
Then we have to square 7
7^2 = 49
Then we multiply 49 by 3.14 or pi
3.14 * 49 = 153.86
The grade distribution for a course is listed in the following table. If a student is randomly selected fro mly selected from this class, what is the probability that they received an A, B, or C? A B C D F 40 40 33 20 14
Answer:
the probability that a randomly selected student received an A, B, or C is approximately 0.769, or about 76.9%.
Step-by-step explanation:
To find the probability that a randomly selected student received an A, B, or C, we need to add up the number of students who received each of these grades and divide by the total number of students in the class.
The total number of students in the class is:
total = A + B + C + D + E = 40 + 40 + 33 + 20 + 14 = 147
The number of students who received an A, B, or C is:
A + B + C = 40 + 40 + 33 = 113
Therefore, the probability that a randomly selected student received an A, B, or C is:
P(A or B or C) = (A + B + C) / total = 113 / 147 ≈ 0.769
So the probability that a randomly selected student received an A, B, or C is approximately 0.769, or about 76.9%.
A gallery owner purchased a very old painting for 3000 dollars. The painting sold for 325 percent increase in price. What is the retail price of the printing?
Answer:
$12,750
Step-by-step explanation:
The price at purchase = 3000 dollars
Sale = 325 percent increase in purchase price.
325% = 3.25
3.25x3000 = 9750 dollars
So, at 325 percent increase in price, this painting sold for $9750.
The retail price of this painting =
Price at purchase + price during sale
= 3000 + 9750
= $12,750
Therefore the retail price is equal to $12,750
Determine the equation of the graph and select the correct answer below.
Answer: y = (x - 1)² - 3
Step-by-step explanation:
y = (1-1)²-3
y=0-3
y=-3
5.7935 rounded to the nearest thousand
Answer:
5.794
Step-by-step explanation:
The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.
What is the degree of the equation?
What is the Leading Coefficient of the equation ?
Solve using the Quadratic Equation.
5X^2 – 3X – 8=0
Answer:
1 (give brainliest plss)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 5 • -8 = -40
Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is -3 .
-40 + 1 = -39
-20 + 2 = -18
-10 + 4 = -6
-8 + 5 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 5
5x2 - 8x + 5x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (5x-8)
Add up the last 2 terms, pulling out common factors :
1 • (5x-8)
Step-5 : Add up the four terms of step 4 :
(x+1) • (5x-8)
Which is the desired factorization
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the concept of Quadratic Equations.
Degree of a equation represents the highest power of the varible in the equation, For quadratic equation the degree is 2.
Leading Coefficient are the constant numbers that are significantly multiplied with the variables in the equation.
==> 5x^2 - 3x - 8 = 0
==> 5x^2 -8x +5x -8=0
==> x(5x-8) +1(5x-8)=0
==> (5x-8)(x+1) = 0
How to respond to "good talk good talk"
Answer:
Step-by-step explanation:
If the person who sent “good talk good talk ” message to you is someone you know very well, but you have not heard from him or her for quite a while, answering with “What took you so long? I missed you!” will be the perfect reply. Simply asking back with “How are you” without any greetings is also fine.
Answer:
speak nice
Step-by-step explanation:
whats the equation of a line that passes through point (-1,3) with slope of 1
The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.
Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:
y - 3 = 1(x - (-1))
Simplifying:
y - 3 = x + 1
Now, we can rewrite the equation in the standard form:
y = x + 4
Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
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Write the following inequality in slope-intercept form.
2x + 9y < -13
Answer:
\(y < -\frac{2}{9}x-\frac{13}{9}\)
Step-by-step explanation:
\(2x+9y < -13\\9y < -13-2x\\y < -\frac{13}{9}-\frac{2}{9}x\\y < -\frac{2}{9}x-\frac{13}{9}\)
Answer:
The slope intercept form of the given inequality would be \(y < -\frac{2}{9}x-\frac{13}{9}\).
What is "Slope Intercept Form"?
The slope-intercept form, (aka. y = mx + b) of linear equations helps to show us the slope and the y-intercept of the line on a XY plane.
Hope this sort of helps!
Convert:
150 oz =
Lb
OZ
Answer:
9.375
Step-by-step explanation:
Answer:
9.375
Step-by-step explanation:
divide the mass value by 16.
150 / 16 = 9.375
A percent is a specific type of (what) that compares one value to the number___?
A percent is a specific type of ratio that compares one value to the number 100.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The percentage is the ratio that compares a number with the total value of 100.
Thus,
Percent compares one value to the number 100.
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5,608 , 97,506 ,9 658 Which numbers 5 is 10 times the value of 5 in 8,395
Answer:
9658
Step-by-step explanation:
The value of 5 in 8395 is 10
To get the answer you have to do 1*10=10 so you would have to find a number where 5 is in the tens place
9658 has a 5 in the tens place
Jon has $72 in his bank account. In order to avoid fees, he must maintain a minimum balance of $12. He wants to buy comic books that cost $1.50 each. Which graph shows the number of comic books, x, he can buy?
Answer:
40 comic books
Step-by-step explanation:
well i dont see a graph but i can give you x, the number of comic books he can buy!
so if he must have a minimum balance of $12 and right now he has $72 then we subtract those and see how much money he has to spend
so that gives us $60 to spend on the comic books
so if each comic book costs $1.50 then we divide that into the $60 leaving us with
40 comic books that jon can buy!
Answer:40 comic books
Step-by-step explanation:
You and 2
2
friends have a job cleaning houses. You split the total money you make so that you each get the same amount. On the first day, you earn $93
$
93
. The second day, you earn $75
$
75
. The third day, you earn $108
$
108
. How much money do you each get for 3
3
days of work?
The amount of money that each person would get for the three days of work is $92.
How much would each person get?The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.
Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day
= $93 + $75 +$108 =$276
The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.
The amount of money gotten by each person = total earnings / total number of people
$276 / 3 = $92
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If the radius of a sphere is reduced to one-third, by how many times does its
volume decrease?
Answer:
It can be concluded that reducing the radius to one-third will reduce the volume of sphere 1/27 times
Step-by-step explanation:
The volume of a sphere is given by the following formula:
\(V = \frac{4}{3}\pi r^3\)
Here r is the radius of the sphere
Reducing the radius of sphere to one-third means dividing the radius by three. So the new radius will be: \(\frac{1}{3}r\)
The new volume with the new radius will be:
\(V_1 = \frac{4}{3}\pi * (\frac{1}{3}r)^3\\V_1 = \frac{4}{3}\pi * \frac{1}{27}r^3\\V_1 = \frac{1}{27}(\frac{4}{3}\pi r^3)\\V_1 = \frac{1}{27}V\)
The new volume is 1/27 times of the original volume.
Hence,
It can be concluded that reducing the radius to one-third will reduce the volume of sphere 1/27 times
please help me with this
9514 1404 393
Answer:
92°
Step-by-step explanation:
The "givens" tell you the E and F are midpoints of their respective segments. That means EF ║ AB and angles DBF and EFC are "corresponding" angles with respect to transversal BC and those parallel lines. Corresponding angles are congruent, so ...
m∠DBF = m∠EFC = 92°
solve 32 and graph MAKE SURE TO ACCOUNT FOR INEQUALITY
Given
\(f(x)=x^2+4\text{ for x}\ge0\)The inverse is
\(\begin{gathered} f(x)=x^2+4 \\ replace\text{ f\lparen x\rparen with y} \\ y=x^2+4 \\ interchange\text{ x and y} \\ x=y^2+4 \\ solve\text{ for y} \\ y^2=x-4 \\ y=\sqrt{x-4} \\ f^{-1}(x)=\text{ }\sqrt{x-4} \end{gathered}\)\(\sqrt{x-4}\)Solution