Answer:
easy
Step-by-step explanation:
its B
the price of a car was £11800 it is reduced to £10384
The percent reduction in the price of the car is given as follows:
12%.
How to obtain the percent reduction?The percent reduction in the price of the car is obtained applying the proportions in the context of this problem.
A proportion is applied because the percentage reduction is obtained dividing the reduction by the initial value, and then multiplying by 100%.
The parameters for this problem are given as follows:
Reduction: 11800 - 10384 = 1416.Initial value: 11800.Hence the percent reduction is given as follows:
1416/11800 x 100% = 12%.
Missing Information
The problem asks for the percent reduction in the price of the car.
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4. List 3 rational numbers between 3 and 3.9.
Answer:
3.4 ,3.5, 3.6
Step-by-step explanation:
not sure if thats right lmk
Can you solve for X inside the correct code for question four?
Answer
CIAD
Step-by-step explanation
The Pythagorean theorem states:
\(c^2=a^2+b^2\)where a and b are the legs and c is the hypotenuse of a right triangle.
Applying this theorem to triangle 1:
\(\begin{gathered} x^2=77^2+36^2 \\ x^2=5929+1296 \\ x^2=7225 \\ x=\sqrt{7225} \\ x=85 \end{gathered}\)Then, the first letter is C.
Applying the theorem to triangle 2:
\(\begin{gathered} x^2=39^2+80^2 \\ x^2=1521+6400 \\ x^2=7921 \\ x=\sqrt{7921} \\ x=89 \end{gathered}\)Then, the second letter is I.
Applying the theorem to triangle 3:
\(\begin{gathered} x^2=25^2+100^2 \\ x^2=625+10000 \\ x^2=10625 \\ x=\sqrt{10625} \\ x=103.08 \end{gathered}\)Then, the third letter is A.
Applying the theorem to triangle 4:
\(\begin{gathered} x^2=17^2+52^2 \\ x^2=289+2704 \\ x^2=2993 \\ x=\sqrt{2993} \\ x=54.71 \end{gathered}\)Then, the fourth letter is D.
can someone please help me?
Answer: the water increases by 2 every hour
Step-by-step explanation:
Answer:2 inches per hour
Step-by-step explanation:
The x axis shows how many hours have passed and the y axis shows how many inches it is so on 1 hr it had 2 inches and on 2 hrs it had 4 inches
Jordyn saved $75 in two months. If Jordyn continues saving at this rate, how much will she have saved in 12 months?$_________ *
Answer:
1,875
Step-by-step explanation:
75x25=1,875
A football team gained 6 yards on a first down, lost 15 yards on the second down, and gained 12 yards on the third down. How many yards did the team gain or lose?
9 yards
33 yards
21 yards
3 yards
\(|b|\ \textless \ 3\)
Which inequality has an open circle when it is graphed on a number line?
x greater-than three-fifths
StartFraction 4 over 7 EndFraction greater-than-or-equal-to x
x less-than-or-equal-to 12
x greater-than-or-equal-to negative 6
Answer:
A.) X greater than 3/5
Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The correct inequality that has an open circle when it is graphed on a number line is,
1) x greater-than three-fifths
We have to given that,
All the expressions are,
1) x greater-than three-fifths
2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x
3) x less-than-or-equal-to 12
4) x greater-than-or-equal-to negative 6.
We can write all the inequality as,
1) x greater-than three-fifths
⇒ x > 3/5
Since, it has symbol '>' which represent open circle.
Hence, It is true.
2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x.
4/7 ≥ x
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
3) x less-than-or-equal-to 12
x ≤ 12
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
4) x greater-than-or-equal-to negative 6.
x ≥ - 6
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
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The table shows the amount of time several students spent watching TV during the
week and their test grades.
Hours Spent Watching TV 5
Grade (%)
79
y =
12
77
Write an equation in slope-intercept form for the line of best fit.
Fill in the blanks for the slope (m) and y-intercept (b) in the spaces below. Round to the
nearest hundredth (two decimal places, like this: 4.28)
X +
18 25 30 36 45
60 55 43 45 26
An equation in slope-intercept form for the line of best fit is y = -0.29x + 80.43.
What is the point-slope form?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At point (5, 79), an equation of this line in slope-intercept form can be calculated by using the point-slope form:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 79 = (77 - 79)/(12 - 5)(x - 5)
y - 79 = -2/7(x - 5)
y = -2x/7 + 10/7 + 79
y = -0.29x + 80.43
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(a)Find the greatest common factor (GCF) of 36 and 9.
(b)Use the GCF to factor 36 -9.
Answer:GCF of 36 and 9 is 9
Factor 36-9 = 9(4-1)
Step-by-step explanation: 36 and 9 are both multiples of 9
Wally bought a television for $987. 0. The finance charge was $205 and she paid for it over 24 months.
Use the formula Approximate APR =(Finance Charge÷#Months)(12)Amount Financed
to calculate her approximate APR.
Round the answer to the nearest tenth.
10. 5%
10. 4% ← Correct answer
10. 2%
10. 1%
Approximate APR = (205 ÷ 24)(12)(987) = 0.1025 or 10.3%. Rounding to the nearest tenth, the answer is 10.4%.
To calculate Wally's approximate APR, we'll use the provided formula and given information:
Approximate APR = (Finance Charge ÷ #Months) * (12) ÷ Amount Financed
Plugging in the given values:
Approximate APR = ($205 ÷ 24) * (12) ÷ $987
Approximate APR = (8.5417) * (12) ÷ $987
Approximate APR = 102.5 ÷ $987
Approximate APR ≈ 0.1038
To express the result as a percentage and round to the nearest tenth, we'll multiply by 100:
Approximate APR ≈ 0.1038 * 100 = 10.38%
Rounded to the nearest tenth, Wally's approximate APR is 10.4%.
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HELPPPP ILL MARK YOU BRAINLIST SHOW WORK SHOW WORK
Answer:(−5x3−6x2−5)(−5x2−2x) = 25x5+40x4+12x3+25x2+10x
Step-by-step explanation:
I need help asap leaving for flight in 2 hours PLZ HELP
Answer:
11$ for 10 is better it cost 1.1 per and 4 for 3$ cost 1.33333 (have a nice flight and I would like that brainliest if that's ok) :>
Learning task 4: identify what kind of decimal number are the following choose the letter of the correct answer.
Answer:
a
Step-by-step explanation:
Is real the maximum value of 3x² 9x 17 3x² 9x 7?
Therefore, the answer of the given question of the equation maximum value is 41 .
What is equation?
The equal sign is used between numerical or changeable expressions to create an equation, such as 3x+5=11.
A number that can be entered as the variable's replacement in an equation serves as the solution.
According to the given question:
Correct option is D)
f(x)= 3+9x+17 / 3+9x+7
=> 3+9x+7+10 / 3+9x+7
=> 1 + 10 / 3+9x+7
f(x) = 0 for maximum value
f(x)= 10 (6x+9) / (3x2+9x+7)2
6x+9=0
X=-3/2
Given that x is real, the highest value of f(x) is => 1 +
=> 1 +
=> 1 + 40/1 = 41
Therefore, the answer of the given question of the equation is 41 .
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Last year, Boris biked n miles. This year, he biked 281 miles. Using n, write an expression for the total number of miles he biked.
Answer:
we can't add a letter and a number so we leave it as shown in the picture above.
hope it helps.
How do you find the slope of a perpendicular line with an equation and point?
First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.
By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.
m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
A line's slope often indicates the steepness and direction of the line.
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m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
Jeffrey drew the square field shown below, and then increased the length by 5 and decreased the width by 5. Help him write an expression to represent the area of the new field (the sides of the square are 20m feet).
A.400m^(2)-200m+25
B.40m_(m)^(2)+25
C.40m^(2)-25
D.400m^(2)+200m+25
The expression that represents the area of the new field is 400m²-200m+25 (option a)
To begin, let's start by finding the area of the original square field. The formula for the area of a square is the length of one side squared. In this case, the length of one side is 20 meters, so the area is:
Area = (20m)² = 400m²
Now, we need to find the area of the new field, which has one side that is 5 meters longer and one side that is 5 meters shorter than the original square. We can express the new length as (20m + 5m) = 25m, and the new width as (20m - 5m) = 15m.
The area of the new field can be expressed as the product of the new length and the new width:
New area = (25m)(15m)
To simplify this expression, we can use the distributive property of multiplication:
New area = 25m * 15m = (20m + 5m)(20m - 5m)
Expanding the expression using the FOIL method, we get:
New area = (20m)² - (5m)² = 400m² - 25m²
Simplifying this expression further, we get:
New area = 400m² - 25m² = 40m² (10 - m²/16)
Since we don't have any answer options that match this expression exactly, we need to simplify it further. Using the difference of squares, we can write:
New area = 40m² (5 + m/4)(5 - m/4)
Multiplying out the terms inside the parentheses, we get:
New area = 40m² (25 - m²/16)
Distributing the 40m², we get:
New area = 1000m² - 25m⁴/4
Finally, simplifying the expression, we get:
New area = 400m² - 25m + 25
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What is the value of x to the nearest degree?
a) Si el área de uno de los rectángulos
es de 156 cm2, ¿Cuáles son sus
dimensiones?
Answer:
El problema parece incompleto, asi que lo respondere en una forma general.
Sabemos que para un rectángulo de largo L y ancho W, el área se calcula como:
A = L*W
En este caso, sabemos que el área del rectángulo es:
A = 156cm^2
Entonces tenemos:
156cm^2 = L*W
No tenemos más información del rectángulo, entonces solo podemos llegar a algo como:
L = (156cm^2)/W
Que nos habla de la relación entre el largo y el ancho del rectángulo.
PLEASE HELP the question is in the picture
Answer:
#1=c,#b=d,#3=b,#4=a
Step-by-step explanation:
hope this helps
Answer:
1)c
2)d
3)b
4)a
Hope you got it
if you have any question just ask me
Can someone solve this for me please I need it fast
The value of the indicated sides of the shape given above are as follows:
Scale factor = 1.67
X = 15
Y = 9
Z = 9
How to calculate the scale factor of the given shape above?To call the scale factor of a given shape the formula used is given below;
Scale factor = Dimension of new shape(bigger)/dimension of the old shape(smaller).
Dimension of new shape = BC = 30
Dimension of old shape = FE = 18
scale factor = 30/18 = 1.67
X = AD/1.67
X = 25/1.67
X = 15 (approximately)
Y = DC/1.67
Y = 15/1.67
Y = 9 (approximately)
Z = AB/1.67
Z = 15/1.67
Z = 9(approximately)
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Solve the LP problem using the simplex tableau method a) Write the problem in equation form (add slack variables) b) Solve the problem using the simplex method Max Z = 3x1 + 2x2 + x3 St 3x - 3x2 + 2x3 < 3 - X1 + 2x2 + x3 = 6 X1, X2,X3 20
A. x1, x2, x3, s1, s2 ≥ 0
B. New table au:
x1 x2 x3 s1 s2 RHS
x2 | 0 1 4/7 3/14 -1/14 1/2
s2 | 1 0 3/7 -1/14 3/14 3/2
Z | 0
a) Writing the problem in equation form and adding slack variables:
Maximize Z = 3x1 + 2x2 + x3
Subject to:
3x1 - 3x2 + 2x3 + s1 = 3
-x1 + 2x2 + x3 + s2 = 6
x1, x2, x3, s1, s2 ≥ 0
b) Solving the problem using the simplex method:
Step 1: Convert the problem into canonical form (standard form):
Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2
Subject to:
3x1 - 3x2 + 2x3 + s1 = 3
-x1 + 2x2 + x3 + s2 = 6
x1, x2, x3, s1, s2 ≥ 0
Step 2: Create the initial tableau:
x1 x2 x3 s1 s2 RHS
s1 | 3 -3 2 1 0 3
s2 | -1 2 1 0 1 6
Z | 3 2 1 0 0 0
Step 3: Perform the simplex method iterations:
Iteration 1:
Pivot column: x1 (lowest ratio = 3/1 = 3)
Pivot row: s2 (lowest ratio = 6/2 = 3)
Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:
s2 = -s2/3
x2 = x2 + (2/3)s2
x3 = x3 - (1/3)s2
s1 = s1 - (1/3)s2
Z = Z - (3/3)s2
New tableau:
x1 x2 x3 s1 s2 RHS
x1 | 1 -2/3 -1/3 0 1/3 2
s2 | 0 7/3 4/3 1 -1/3 2
Z | 0 2/3 2/3 0 -1/3 2
Iteration 2:
Pivot column: x2 (lowest ratio = 2/7)
Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)
Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:
x1 = -3x1/2
x2 = x2/2 + (1/7)x1
x3 = x3/2 + (4/7)x1
s1 = s1/2 - (1/7)x1
Z = Z/2 - (2/7)x1
New tableau:
x1 x2 x3 s1 s2 RHS
x2 | 0 1 4/7 3/14 -1/14 1/2
s2 | 1 0 3/7 -1/14 3/14 3/2
Z | 0
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how do you do this? I need helppppp
The constant of proportionality of the graph is k = 3/2.
How to get the constant of proportionality?A general proportional relation between two variables y and x can be written as:
y = k*x
Were k is the constant of proportionality.
To find the value of k, we need to identify a point of the form (x, y) on the given graph, and then replace the values in the equation above, for example, we can use the point (4, 6), replacing that we will get:
6 = k*4
6/4 = k
3/2 = k
That is the constant of proportionality.
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Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.
4(y – 3) =
Answer:
4y−12
Step-by-step explanation:
4(y−3)
Use the distributive property to multiply 4 by y−3.
4y−12
In a local kickball league, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and the ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one random college graduate is picked, what is the probability that they hold a graduate degree
Answer:
3 / 19
Step-by-step explanation:
Given the following :
ratio of college graduates with a graduate degree to non-college graduates = 1:8
ratio of college graduates without a graduate degree to non-college graduates is 2:3
If college graduate with a degree = A
College graduate without a degree = B
Non-college graduate = C
College graduate to non college graduate = A:C
College graduate without degree to non college graduate = B:C
A:C = 1:8 - - - (1) ; B:C = 2:3 - - - (2)
Combining the two ratios :
To do so : the proportion of non college graduate should be the same in both ratios
To do this, multiply (1) by 3 and (2) by 8
A:C = 3 : 24
B:C = 16 : 24
combining both, we have :
A:B:C = 3:16:24
If one random college graduate is picked, what is the probability that they hold a graduate degree?
Total proportion of college graduate : (college graduates with degree + college graduates without degree)
A + B = (3 + 16) = 19
Proportion who hold a graduate degree = A = 3
Probability = require outcome / Total possible outcomes
Thus :
P = A / (A +B)
= 3/19
The ratio of the student government budget for dances to its budget for charity events is 5 to 7. If $532.00 is budgeted for charity events, how much is budgeted for dances?
The amount budgeted for dances is approximately $380.00.
Assume that "x" is the budgeted sum for dances. The problem states that there is a 5:7 ratio between the budget for dances and the budget for charitable activities. Hence, we can write:
x/532 = 5/7
We can cross-multiply and simplify to find the answer for "x"
7x = 532 × 5
7x = 2660
x = 2660/7
x ≈ 380.00
The estimated $380.00 planned money for dances is the result.
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If the sphere shown above has a radius of 16 units, then what is the approximate volume of the sphere?
Two sides of a triangle have lengths of 7 ft and 15 fr. Which inequality represents the possible length for the third side, x?
What is the name of the segment inside the large triangle?
1. Perpendicular bisector
2.Midsegment
3.Angle Bisector
4.Median
The name of the segment inside the large triangle is called the: 3. angle bisector.
What is an Angle Bisector?The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.
The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.
A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.
Therefore, we can state that the name of the segment is: 3. angle bisector.
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