The original price of the ski jacket is $184.
What is price?
The sum of money paid or the amount of compensation offered by one party to another in exchange for goods or services is known as a price. The cost of production can take on different names depending on the circumstance. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price".
Given:
Paula bought a ski jacket on sale for $8 less than half its original price.
She paid $84 for the jacket.
We have to find the original price of the ski jacket.
Let
The original price = x
The amount she bought it = x/2 - 8
She paid $84 for the jacket
Therefore,
84 = x/2 - 8
Add 8 on both sides,
84 + 8 = x/2 - 8 + 8
92 = x/2
x = 184
Hence, the original price of the ski jacket is $184.
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C (3, 0) and D (8,0)
Find the length using the distance formula
Answer:
5
Step-by-step explanation:
(3-8)²+(0+0)²
25+0
25----> The square root of 25 is 5
(6) Select the number/word combination that best estimates each number.
(a) 87,300,000
(i) 8. 73 million
(ii) 8. 73 billion
(iii) 87. 3 million
(iv) 87. 3 billion
(b) 2,670,000,000,000
(i) 2. 7 trillion
(ii) 2. 7 billion
(iii) 2700 million
(iv) 2. 7 million
The number/word combination that best estimates each number is.
(a) 87,300,000:
(i) 8. 73 million
(ii) 87.3 million
(b) 2,670,000,000,000
(i) 2.7 trillion
(iv) 2700 billion
Note: In (a) option (ii) & (iv) are not correct, as 8.73 billion is 873000000000 and 87.3 billion is 87.3*1000000000 = 873000000000. In (b) option (ii) & (iii) are not correct, as 2.7 billion is 2700000000 and 2700 million is 270000000000.
I chose option (iii) for (a) because 87,300,000 is closest to 87.3 million. 87.3 million is also the correct way to express this number in the millions.
I chose option (i) for (b) because 2,670,000,000,000 is closest to 2.7 trillion. 2.7 trillion is also the correct way to express this number in trillions.
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Prove 2 triangles formed by a diaganol in a rectangle are congruent
On solving the provided question, we can say that, by SAS congruency both triangle are congruent
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
2 triangles formed by a diagonal in a rectangle are congruent
since two sides are equal
and, each angle is 90 on bisect from it's 45 each
so, two sides of both triangles are equal
and one angle from both triangle are equal
then, by SAS congruency both triangle are congruent
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How do you determine whether the given ordered pair XY is a solution of linear inequality in two variables?
To determine if an ordered pair (X,Y) is a solution to a linear inequality in two variables, substitute the values for X and Y into the inequality and check if the inequality holds true.
To determine whether an ordered pair (X,Y) is a solution of a linear inequality in two variables, we must first understand what a linear inequality is. A linear inequality is an equation with two variables (X and Y) that is either greater than or less than an expression. To determine if an ordered pair is a solution to a linear inequality, we must substitute the values for X and Y into the inequality and check if the inequality holds true. If the inequality is true, then the ordered pair is a solution. If the inequality is false, then the ordered pair is not a solution. For example, if we have an inequality of 2X + Y > 5 and the ordered pair (3,1), we can substitute the values for X and Y into the inequality (2(3) + 1 > 5). Since this inequality holds true, the ordered pair (3,1) is a solution
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11f + 14g = 13
11f + 10g = 25
Answer:
f = 5
g = -3
Step-by-step explanation:
11f + 14g = 13 Q1
11f + 10g = 25 Q2
Q1 - Q2 =
4g = -12
g = -3
put it back in the equation
11f + 10g = 25
11f + 10 (-3) = 25
11f + -30 = 25
11f = 55
f = 5
Answer:
f = 5 , g = - 3
Step-by-step explanation:
11f + 14g = 13 → (1)
11f + 10g = 25 → (2)
subtract (2) from (1) term by term to eliminate f
(11f - 11f) + (14g - 10g) = 13 - 25
0 + 4g = - 12
4g = - 12 ( divide both sides by 4 )
g = - 3
substitute g = - 3 into either of the 2 equations and solve for f
substituting into (1)
11f + 14(- 3) = 13
11f - 42 = 13 ( add 42 to both sides )
11f = 55 ( divide both sides by 11 )
f = 5
solution is f = 5 , g = - 3
math problem
-a + 28 = 14
Answer:
14
Step-by-step explanation:
Answer:
a = 14
Step-by-step explanation:
-a = 14 + (-28)
-a = 14 - 28
-a = -14 / × (-1)
a = 14
The absolute value inequality equation |2x – 1| > 3 will have what type of solution set? Question 6 options: A) Intersection B) Union C) All real numbers D) No solution
The absolute value of the inequality |2x -1| >3 will have a union type of solution set.
How do we solve the absolute value of an inequality equation?By using the absolute rule that states:
An inequality equation's absolute value can be solved.
If |u| > a, a > 0, then u < - a or u > awhere the "or" functionality symbolizes the union between the solution sets.
Given that:
|2x - 1| > 3
Applying the absolute rule, we have:
2x - 1 < - 3 or 2x - 1 > 3
2x < -4 or 2x > 4
x < -4/2 or x > 4/2
x< -1 or x > 2
This denotes the union of between the solution sets.
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Solve the following inequality, 7x - 1 < or equal to -50
Answer:
To solve the inequality 7x - 1 <= -50, we'll start by isolating x on one side of the inequality.
Add 1 to both sides: 7x <= -49
Divide both sides by 7: x <= -7
So the solution to the inequality is x <= -7.
This means that x can be any value less than or equal to -7. For example, -7, -8, -9, -10, etc. It is also possible to express this as an interval notation, which is (-∞, -7].
Write the following equation in slope-intercept form.
X=-y--y-3 vertical line, there is no y-intercept and the slope is undefined.
What is the correct solution?X+y= −3
(x + y) + (−y) = −3+ ( − y)
X+y-y=-3-y
X=-y-3
Using the slope formula, calculate the slope.
To find the y-intercept (b), use the slope and one of the points.
Once you have the values for m and b, you can enter them into the slope-intercept form of a line (y = mx + b) to derive the line’s equation.
No, so its slope can't be negative. What number is neither positive nor negative? Zero! This relationship always holds: a slope of zero means that the line is horizontal, and a horizontal line means you'll get a slope of zero.
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A truck that can carry no more than 6900lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 12 refrigerators and 9 pianos overload the truck? Explain. Question content area bottom Part 1 Let x be the number of refrigerators in the truck and y be the number of pianos in the truck. Write an inequality to show how many refrigerators and how many pianos the truck could carry.
Answer: Hi
We can use the information given to set up the inequality:
Weight of refrigerators + weight of pianos <= 6900 (since the truck can carry no more than 6900 lb)
We can use the weight of each item to write the inequality in terms of x (number of refrigerators) and y (number of pianos):
300x + 525y <= 6900
To graph the inequality, we can use the x and y values as coordinates and plot them on a coordinate plane. The line representing the inequality would be a boundary line, with all the points that satisfy the inequality on one side of the line, and all the points that do not satisfy the inequality on the other side of the line.
To check if 12 refrigerators and 9 pianos will overload the truck, we can substitute these values into the inequality:
300(12) + 525(9) = 3900 + 4725 = 8625
Since 8625 is greater than 6900, which is the maximum weight the truck can carry, 12 refrigerators and 9 pianos would overload the truck.Step-by-step explanation:
To sum up, the inequality 300x + 525y <= 6900 represents the weight that the truck can carry. The points that satisfy the inequality (such as (4, 6) or (10, 3)) would represent a combination of refrigerators and pianos that the truck can carry, while the points that do not satisfy the inequality (such as (12, 9)) would represent a combination that overloads the truck.
7/55
Remainder!!!
PLEASE HELP
A, B, C, D
A : 7 Remainder 6
B : 7 Remainder 5
C : 6 Remainder 5
D : 6 Remainder 6
The value of 55 divided by 7 will be 7 remainder 6. The correct option is A.
How to calculate the expression?The expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
It should be noted that some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
In this case, the value of 55 divided by 7 will be:
= 55 / 7
= 7 6 / 7
This is 7 remainder 6.
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Complete question
What is 55/7?
A. 7 Remainder 6
B : 7 Remainder 5
C : 6 Remainder 5
D : 6 Remainder 6
in a class of 78 students, 41 are taking french, 22 are taking german and 9 are taking both french and german. how many students are not enrolled in either class? question 11 options: 6 24 54 15 33
Answer: 6 are not enrolled.
Step-by-step explanation:
78 in total so you add 41+22+9 and you get 72 so you do 78-72 and you get 6.
break apart 8 and 50
Answer:
Ste p-by-step explanation:
Answer: 8=4+4, 50=25+25
Is an inverse graph a parabola?
If we plot the inverse function on a graph, then we get a parabola. This parabola has the following conditions: If a>0 , then the equation defines a parabola whose ends point upwards. If a<0 , then the equation defines a parabola whose ends point downwards.
Now, According to the question:
What type of graph is a parabola?
A parabola is the shape of a quadratic function graph. There are two types of parabolas, positive (opening up) or negative (opening down). A parabola has many key features including a vertex, x-intercept(s) and y-intercept.
How do you know if a graph is a parabola?
A parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax^2 + bx + c. The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0. The graph of parabola is upward (or opens up) when the value of a is more than 0, a > 0.
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Create an equivalent expression for 12−7 • 125.
−122
122
one over twelve raised to the power of negative two
one over twelve raised to the second power
An equivalent expression for 12−7 • 125 is option B. −122
How did we decide the equivalent expression?The expression 12−7 • 125 can be simplified as follows:
12 - 7 * 125
Starting with the multiplication:
12 - 7 * 125 = 12 - 875
Finally, the subtraction:
12 - 875 = -863
So, the equivalent expression is:
-863. Since -122 is also a negative number, it implies that the expression resulting to -863 is equivalent to that which results into -122.
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Find the value of each variable in the parallelogram.
The value of m and n of the parallelogram is given by the equations ,
The value of m = 5
The value of n = 12
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
The measure of side AB = m + 1
The measure of side BC = 12
The measure of side CD = 6
The measure of side CA = n
And , for a parallelogram opposite sides are parallel and opposite sides are congruent
Now , the measure of side AB = measure of CD
The measure of side BC = measure of CA
Substituting the values in the equation , we get
m + 1 = 6
And , n = 12
Subtracting 1 on both sides of the equation , we get
m = 5
Hence , the value of m and n of parallelogram are 5 and 12 respectively
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the national fire incident reporting service stated that, among residential fires, 73% are in family homes, 20% are in apartments, and 7% are in other types of dwellings. if fourteen residential fires are independently reported on a single day, what is the probability that six are in family homes, four are in an apartment, and four are in another type of dwelling? (round your answer to four decimal places.)
answer and i will mark it as brainliest
A person took a loan of Rs 150000for tw years at the rate of 10% annual compound interest To reduce interest and loan partly he paid Rs 85000 at the end of first year
a) Now how many rupees should he have to pay at the end of second year to clear his debt
b) If he had paid the loan only at the end of second year how much less or more interest should have to be paid?
Answer: a) The amount of interest that would be added to the loan after one year at a 10% annual compound interest rate is 15000010/100 = 15000. Therefore, the total amount of the loan after one year would be 150000+15000 = 165000. After the person paid Rs 85000 at the end of the first year, the remaining amount of the loan would be 165000-85000 = 80000.
To clear the debt at the end of the second year, the person would have to pay 80000+8000010/100 = 80000+8000 = 88000 rupees.
b) If the person had only paid the loan at the end of the second year, the interest on the loan would be 15000010/1002 = 30000 rupees.
The total amount of the loan would be 150000+30000 = 180000 rupees.
Therefore, the difference in interest paid would be 30000-8000 = 22000 rupees more.
He would have to pay 22000 rupees more than what he paid in the first case.
a 12 cm cube is built from small cubes, each 2 cm on an edge. write a ratio that compares the edge lengths of the large and small cubes.
The ratio of the edge lengths of the large and small cubes is 6:1
The ratio that compares the edge lengths of the large and small cubes is the ratio of the length of the edge of the large cube to the length of the edge of the small cube.
The edge length of the large cube is 12 cm and the edge length of the small cube is 2 cm. To find the ratio, we divide the length of the large cube by the length of the small cube.
So the ratio of the edge length of the large cube to the small cube is:
12cm/2cm = 6
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(pt. 2)
If angle M measures 45 degrees, m
The triangles are congruent if two pairs of comparable angles and a pair of sides that aren't included are both identical.
What is meant by congruent triangle?Angle measurements and side lengths are identical for congruent triangles. These are the criteria for triangle congruence: "Side-Side-Side" SAS (Side-Angle-Side)
If the five conditions for congruence are met, two triangles are congruent. These are right angle-hypotenuse-side (RAHS), side-side-side (SSS), angle-side-angle (ASA), angle-angle-side (AAS), and side-angle-side (SSS) (RHS).
Triangles are said to be congruent if two sets of corresponding angles and the pair of included sides are also so. The triangles are congruent if two pairs of comparable angles and a pair of sides that aren't included are both identical.
You would need at least one pair of comparable sides that are likewise congruent to demonstrate the congruence of two triangles with three congruent, corresponding angles. Then, you might demonstrate congruence using the ASA or AAS congruence theorems or rigid transformations.
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Can you help me solve the area of this triangle?
Hope it helps.
If you have any query, feel free to ask.
The entire area bounded by any triangle's three sides is referred to as the triangle's area.
What is the Area of a Triangle?In essence, it is equivalent to 1/2 of base times height, or A = 1/2 b times h. A triangular polygon's base (b) and height (h) must be known in order to calculate its area.
Whether a triangle is scalene, isosceles, or equilateral, it can be used to solve any kind of triangle.
Be aware that the triangle's base and height are at right angles to one another. In square units, the area unit is measured (m2, cm2).
Example :
Consider this triangle with a base of 3 cm and a height of 4 cm. What is its area?
Employing the formula,
Triangle's area is equal to half of b times h.
= 1/2 × 4 (cm) × 3 (cm) (cm)
= 2 (cm) × 3 (cm) (cm)
= 6 cm2
In addition to the method mentioned above, Heron's formula can be used to determine a triangle's area when we know the lengths of its three sides.
In addition, when two sides of a triangle are known as well as the angle that forms between them, the area can be calculated using trigonometric functions.
For each of these circumstances, we shall calculate the area.
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What is Factorise 3x+12
Answer:
3 (x + 4)
Step-by-step explanation:
3x = 3 × x
12 = 3 × 4
3x + 12
Take 3 common,
3 (x + 4)
Hence, factorised.
A juice shop made 24 L. of lemonade and put 3/4 of it in a juice dispenser.
The rest of the lemonade was poured into bottles that hold 3/8 L. each. How
many bottles of lemonade did the shop fill?
18 bottles of lemonade did the shop fill
How to calculate liters?1,000 milliliters (mL) in 1 liter (L). So, to convert milliliters to liters, you would divide the number of milliliters by 1,000. 100 centiliters (cL) in 1 liter. So, to convert centiliters to liters, you would divide the number of centiliters by 100.To learn how to calculate round water tank capacity in liters, we should take three dimensions into consideration. Those three dimensions are length, breadth, and height. Let length be L, Breadth be B, and Height be H. Therefore, the total volume of tank in liters will be 240 x 28.31 = 6794.4 liter.A litre is a cubic decimetre, which is the volume of a cube 10 centimetres × 10 centimetres × 10 centimetres (1 L ≡ 1 dm3 ≡ 1000 cm3). Hence 1 L ≡ 0.001 m3 ≡ 1000 cm3; and 1 m3 (i.e. a cubic metre, which is the SI unit for volume) is exactly 1000 LTo learn more about liters refers to:
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I suck at special triangles and this is really confusing
Figure shows right angle, angles are 30-60-90 degrees, and side ratio 1:√3: 2.
30-60-90 Triangle SidesA 30-60-90 triangle is unique because the lengths of its sides are consistently related to one anotherTriangle ABC in which C is at 30°, A is at 60°, and B is at 90°.Since the 30° angle in this triangle is the smallest angle, the side opposite it, AB = y, will always be the smallest.Because 60° is the mid-sized degree angle in this triangle, the side opposite the 60° angle, BC = y 3 = y 3, will be the medium length.The hypotenuse AC = 2y will be the greatest side on the side opposite the 90° angle as 90° is the largest angle.The sides of a 30-60-90 or right angle triangle are in the ratio of 1:√3: 2.To learn more about right angle refer to:
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A spinner is divided into equal sections, labeled 4 through 8. How many times would you expect to spin a 5 if you spin the spinner 100? Round your answer, if needed.
A.
0.20
B.
20
C.
0.50
D.
80
20 times we can expect to spin a 5.
Option(B) is correct.
What is probability?
Probability is the branch of mathematics that deals with the likelihood of certain events happening.
A spinner is divided into equal sections, labeled 4 through 8, so there are 5 sections in total (4, 5, 6, 7, 8). If you spin the spinner 100 times, you would expect to spin a 5 on 1/5 of those spins, since there is one 5 section out of five total sections. Therefore, you would expect to spin a 5 100 times / 5 sections = 20 times.
Hence, 20 times we can expect to spin a 5.
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What is another word for logarithm?
The another word for logarithmic function is log.
Explain logarithmic function?A logarithmic equation is one that uses the logarithm of an expression involving a variable. Before attempting to answer an exponential equation, make sure you can write both sides of the problem as powers of the same number.
According to question:To generate a given number, a base must be raised to a particular exponent, power, or logarithm. If bx = n, then mathematically, x is the logarithm of n to the base b, denoted as x = logb n. For instance, since 8 has a base-2 logarithm of 3, 3 = log2 8 since 8 = 23
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1) During the 1990s, the forested area Guatemala decreased at an Average Rate of 1.7%. The forested area on Guatemala was about 34,400 square Kilometers in 1990.
((Rest Picture))
2) From 1995 to 2005, the tuition at a college increased by about 7% per year. Tuition in 1995 was $12,000n
Answer:
A is correct answer
How to calculate this ?Here, we want to write an equation for a depreciation
The general form is;
V is the present value in 2005
I is the initial value in 1990 which is 34,400
r is the decrease rate which is 1.7/100 = 0.017
t is the difference in years which is 2005-1990 = 15
Substituting these values, we have
V = 34,400(1-0.017)^15
V = 22,407.65 km^2
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Give a pair of alternate interior angles, a pair of corresponding angles, and a pair of alternate exterior angles.
A pair of alternate interior angles is - ∠3 and ∠5
A pair of corresponding angles is - ∠1 and ∠5
A pair of alternate exterior angles is - ∠1 and ∠7
What are parallel lines?
Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.
Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.
When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles.
So, ∠3 and ∠5, and ∠4 and ∠6, are alternate interior angles.
According to the definition of corresponding angles, when two parallel lines are intersected by a transversal, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.
So, ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, and ∠4 and ∠8 are corresponding angles.
Alternate exterior angles are created when two or more lines are intersected by a transversal. These angles are formed on the outer side of the transversal on the different sides.
So, ∠1 and ∠7, ∠2 and ∠8 are alternate exterior angles.
Therefore, the alternate interior angles, corresponding angles and alternate exterior angles are ∠3 and ∠5, ∠1 and ∠5, and ∠1 and ∠7 respectively.
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Shane rode his bike for 2 hours and traveled 12 miles. At this rate, how many miles would he travel in 4 hours
Answer:
24
Step-by-step explanation:
12/2=6 6*4=4
Is it negative 1 or minus 1?
Both "negative 1" and "minus 1" refer to the same value, which is -1. They both indicate that a value is less than zero.
"Negative 1" and "minus 1" are ways to represent the value of -1 in mathematics. In general, a negative number is any number that is less than zero. For example, -1, -2, -3, etc. are all negative numbers.
When we use the word "minus" in front of a number, it indicates that we want to subtract that number from a given value. For example, if we say "5 minus 2," we mean 5 - 2 = 3. Similarly, when we say "minus 1," it means we want to subtract 1 from a given value.
So, "negative 1" and "minus 1" are both ways to indicate the value of -1, which is less than zero.
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