Answer:
The slopes of these other two segments would be 2.
Step-by-step explanation:
In order to find these slopes, you need to know that rectangles have right angles. Given this fact, we know these segments are perpendicular to the given segment. This means that we take the current slope (-1/2), we flip it, (-2) and negate it (2) to get the new slope.
Thomas had three different types of coins in his pocket, and their total value was $2.72. He had twice as many pennies as quarters and one less dime than the number of pennies. How many quarters did he have?
Match each rational expression to its simplest form.
Answer:
m-2/m=m^2-3m+2/m^2-m
m-1=m^2-2m+2m+1/m-1
Step-by-step explanation:
how much would $200 invested at 4% interest compounded monthly be worth after 8 years round your answer to the nearest tenth
Answer:
The amount is $275.3
Step-by-step explanation:
We can use amount formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the amount
P is money invested
r is interest rate
n is number of periods
t is time in years
we are given
P=200
r=4%=0.04
t=8
n=12
so, we can plug these values
[tex]A=200(1+\frac{0.04}{12})^{12\times 8}[/tex]
we can simplify it
and we get
[tex]A=275.3[/tex]
So,
The amount is $275.3
A bag of apples weighs 7 7/8 pounds. By weight, 1/18 of the apples are rotten.what is the weight of the good apples
The sum of 5 executive integers is 75.
What is the 3rd number?
Why did the chicken hit her egg with an ax worksheet answers
Answer:
Step-by-step explanation:
A. 1). Area of the rectangle = length×width = 11×8 = 88 cm²
Perimeter = 2(18+11) = 58 cm
2).Area of a parallelogram = length×height = 24×16 = 384 ft²
Perimeter = 2(19+24) = 2×43 = 86 ft
3). Area of a right angle triangle = (1/2)×base×height = (1/2)×12×9 = 54 in²
Perimeter = (9+12+15) = 36 in
4). Area of a triangle = (1/2)×Base×height = (1/2)×21×19 = 199.5 m²
Perimeter = (20+21+23) = 64 m
5). Area of an obtuse angle triangle = (1/2)×height×base = (1/2)×2.9×2.4 = 2.9×1.2 = 3.48 cm²
Perimeter = (2.9+2.4+4.5) = 9.8 cm
6). Area of a parallelogram = base × height = 56×90= 5040 ft²
Perimeter = 2(56+100) = 2×156 = 312 ft
B. 7). Area of the shaded area = (27×27 - 12×12) = 729-144 = 585 in²
8). Area of the shaded area = 10(9+7) - (1/2)×10×9 = 160 - 45 = 115 cm²
9). Area of the shaded area = 50×53 - 25×23 = 2650 - 575 =2075 ft²
10). Area of the shaded area = 10×13 - (1/2)×6×8 = 130 - 24 = 106 m²
11). Area of the shaded area = 18×18 - (1/2)×18×9 = 324 - 81 =243 in²
12). Area of the shaded area = 11×17 - (1/2)×11×17 = (1/2)×11×17 = 93.5 cm²
HELP!!!!!!!!!! What is 1267 ÷ 567 please help quickly I need it
i need 14 and 15 please!
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and
F(4, -1)?
1.equilateral triangle
2.isosceles triangle
3.right triangle
4.acute scalene triangle
5.obtuse scalene triangle
Okay this is a new problem I need help with tryna set it up or what’s the answer
A dining hall measuring 10m long and 8m wide overlaid with nine circular carpets.The diameter of one carpet is 200cm.Calculate the area in square meters, floor area of the board that is not covered by the carpet.
Dennis thought of a number. He adds 0.5 to that number and then multiplies the new result by 4. He then subtracts 2 and divides the number by 2. His final answer is 48. What number did Dennis start with?
The number that Dennis started with is 24
Further explanationSolving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
m → gradient of the line
( 0 , c ) → y - intercept
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
[tex]\large {m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
[tex]y - y_1 = m ( x - x_1 )[/tex]
Let us tackle the problem.
Let :
The number that Dennis started with is X
If he adds 0.5 to that number and then multiplies the new result by 4 , then:
[tex]( X + 0.5 ) \times 4[/tex]
If he then subtracts 2 and divides the number by 2 , then:
[tex]\frac{[ ( X + 0.5 ) \times 4 ] - 2}{2}[/tex]
If his final answer is 48 , then :
[tex]\frac{[ ( X + 0.5 ) \times 4 ] - 2}{2} = 48[/tex]
[tex][ ( X + 0.5 ) \times 4 ] - 2 = 48 \times 2[/tex]
[tex]( X + 0.5 ) \times 4 = 48 \times 2 + 2[/tex]
[tex]( X + 0.5 ) \times 4 = 96 + 2[/tex]
[tex]( X + 0.5 ) \times 4 = 98[/tex]
[tex]( X + 0.5 ) = \frac{98}{4}[/tex]
[tex]( X + 0.5 ) = \frac{49}{2}[/tex]
[tex]X = \frac{49}{2} - \frac{1}{2}[/tex]
[tex]X = \frac{48}{2}[/tex]
[tex]\large {\boxed {X = 24} }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
One cubic foot of sand weighs about 100 pounds. Approximate the weight of the cone-shaped pile of sand. Round your answer to the nearest hundred pounds.
To approximate the weight of a cone-shaped pile of sand, find the volume of the cone using the formula V = (1/3)πr²h. Multiply the volume by the weight of one cubic foot of sand (100 pounds) to find the weight of the pile. Round to the nearest hundred pounds.
Explanation:To approximate the weight of a cone-shaped pile of sand, we first need to find the volume of the cone.
The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.
Let's say the radius is 2 feet and the height is 5 feet.
Plugging these values into the formula, we get V = (1/3)π(2²)(5) = 20π.
Now, since one cubic foot of sand weighs about 100 pounds, we can multiply the volume of the cone by 100 to find the approximate weight.
Therefore, the weight of the cone-shaped pile of sand is approximately 20π × 100 = 2000π pounds.
Rounding to the nearest hundred pounds, the weight is approximately 6283 pounds.
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Pencils sell for 18 cents each, and pens sell for 69 cents each. How much would 14 pencils and 11 pens cost?
4 ounces of cheese makes one cup of shredded cheese you want 3 cups of shredded cheese how many ounces the must you shred
Pre-image point N (6,-3) was dilated to point N(2,-1) What was the scale factor used?
Answer:
1/3
Step-by-step explanation:
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Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Part A: The expression [tex]4\cdot d[/tex] represents the number of strawberries Heather needs for the desserts.
Here, the variable "d" represents the number of desserts Heather will make.
Part B: Heather has 24 ounces of strawberries, she can make 6 desserts.
Mathematically, an expression is a combination of numbers, variables, operations, and functions that are composed together according to specific rules to represent a computation or relationship of mathematics. It can be thought of as a mathematical phrase or formula.
Part A: Let's represent the number of desserts Heather will make with the variable "d".
The expression that represents the number of strawberries Heather needs for the desserts can be written as:
[tex]4 \times d[/tex].
Here, the variable "d" represents the number of desserts Heather will make.
Part B: If Heather has 24 ounces of strawberries, we can set up an equation to determine the number of desserts she can make.
[tex]4 \times d[/tex] = 24 ounces.
To solve for "d," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 4 ounces/dessert:
d (desserts) = [tex]\frac{24}{4 }[/tex]
Simplifying the right side of the equation:
d (desserts) = 6 desserts.
Therefore, Heather can make 6 desserts with 24 ounces of strawberries.
Therefore, [tex]4 \times d[/tex] represents the number of strawberries, where variable "d" is the number of desserts and Heather can make 6 desserts with 24 ounces of strawberries.
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Point x starts at -4 on a number line. Pint x then goes through a series of moves; +3 units, -2 units, +6 units and -5 units. What is the final position of Point x?
Starting from -4 and applying a series of moves (+3, -2, +6, -5) sequentially on the number line, the final position of Point x is -2.
Explanation:The question involves finding the final position of Point x after a series of moves on a number line. Starting from -4, we apply the moves in sequence: adding 3, subtracting 2, adding 6, and finally subtracting 5. The operations are as follows:
Start: -4After adding 3: -4 + 3 = -1After subtracting 2: -1 - 2 = -3After adding 6: -3 + 6 = 3After subtracting 5: 3 - 5 = -2Therefore, the final position of Point x on the number line is -2.
You own Everything's Coming Up Roses flower shop. Your employee makes 4 deliveries per hour. The distance between the shop and the first delivery is 12 1/3 miles. The distance between the next three deliveries is 8 3/4 miles; 17 2/8 miles; and 23 2/3 miles respectively. The distance from the final delivery to the shop is 10 5/10 miles. What is the average distance for all segments of this trip? 14.48 miles
Final answer:
The average distance for all segments of the flower shop deliveries trip is calculated to be 14.5 miles.
Explanation:
To calculate the average distance travelled for all segments of the trip, we first convert each distance to an improper fraction or decimal for ease of calculation and then find the sum of all the segments.
After this, we divide the total distance by the number of segments.
The distances given are:
12 1/3 miles which is 12.333... miles (or 37/3 as an improper fraction)8 3/4 miles which is 8.75 miles (or 35/4 as an improper fraction)17 2/8 miles which is 17.25 miles (or 69/4 as an improper fraction)23 2/3 miles which is 23.666... miles (or 71/3 as an improper fraction)10 5/10 miles which is 10.5 miles (or 21/2 as an improper fraction)The total distance travelled is the sum of all these distances:
12.333... + 8.75 + 17.25 + 23.666... + 10.5 = 72.5 miles
There are 5 segments in the trip, so to find the average, we divide 72.5 miles by 5:
72.5 miles / 5 = 14.5 miles
Therefore, the average distance for all segments of this trip is 14.5 miles.
How do you this??????
The earth revolves around the sun therefore
A) It does so in a perfect circle
B) there is no net force
C) Esther orbital velocity is constant
D) the earth is accelerating the sun
Can someone help me please
Amy has for gerbils Which Way 20 G 22 G 24 and 26 G what is the total weight of the gerbils in milligrams
Kelsey bought a circular rug that is 12 feet in diameter. The rug has a blue boarder and a red circular center that is 4 feet in diameter. What is the area of the blue boarder? Round to the nearest 10th place
Final answer:
To calculate the area of the blue border of the circular rug, subtract the area of the red center from the area of the entire rug. Using the area formula for a circle, the area of the blue border is approximately 100.5 square feet when rounded to the nearest tenth.
Explanation:
To find the area of the blue border of Kelsey's circular rug, we first need to calculate the area of the entire rug and then subtract the area of the red circular center. The diameter of the entire rug is 12 feet, which means its radius is 6 feet. Similarly, the diameter of the red center is 4 feet, giving it a radius of 2 feet. We use the formula for the area of a circle, A = πr^2, where A is the area and r is the radius.
First, we calculate the area of the entire rug with a radius of 6 feet:
Atotal = π * 6^2 = π * 36 = 36π square feet.
Next, we calculate the area of the red center with a radius of 2 feet:
Acenter = π * 2^2 = π * 4 = 4π square feet.
Now, we subtract the area of the red center from the total area to find the area of the blue border:
Aborder = Atotal - Acenter = 36π - 4π = 32π square feet.
To provide an answer rounded to the nearest tenth, we approximate π to 3.14:
Aborder ≈ 32 * 3.14 ≈ 100.48 square feet, which rounds to 100.5 square feet as the area of the blue border.
is the relation a function? Why or why not?
(-3, -2) (-1, 0) (1, 0) (5, -2)
A. no- to domain values exist for range value -2
B- yes- only one range value exists for each domain value
C- yes- to domain values exist for range value -2
D- no- the relation passes the vertical line test
Final answer:
A relation where each domain value is mapped to a single, unique range value is considered a function. The relation in question is indeed a function because each domain value corresponds to only one range value, and its correctness is supported by the distinct pairs of the domain and range. The correct answer is option (B)
Explanation:
To determine whether a given relation is a function, we check if each element of the domain maps to exactly one element of the range. The relation in question is composed of the following ordered pairs: (-3, -2), (-1, 0), (1, 0), (5, -2). The domain (which consists of the first elements of the ordered pairs) includes -3, -1, 1, and 5, and the range (the second elements) includes -2, 0.
A crucial aspect of a function is that each domain value is paired with a unique range value. Here, we see that no domain value is repeated; hence, none of them map to more than one range value. This satisfies the criterion for a function. However, it is not a problem that a range value, like -2, appears more than once in the relation as long as it corresponds to different domain values.
Based on this, the correct answer would be "B. yes- only one range value exists for each domain value" because each domain value is associated with one and only one range value, which is the definition of a function.
Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will Belinda receive from her insurance company when she files her claim?
Summary
Comprehensive Deductible: $375
Collision Deductible: $550
Premium of $625 for 4 months
Answer:
Belinda will get $25 from her insurance company when she files her claim.
Step-by-step explanation:
Comprehensive insurance covers your car from damage from fire, theft or falling objects like trees etc.
To get the claim, the company will check the worth of the GPS system in the market minus the deductible amount.
So, the cost of GPS system was $400. And comprehensive deductible is $375.
So, Belinda will receive [tex]400-375=25[/tex] dollars
The answer is: Belinda will get $25 from her insurance company when she files her claim.
how to find the angle measures of a inscribed polygon?
the lateral area of a cone with a diameter of 15 yards is about 287.5 square yards. to the nearest tenth, what is the slant height of the cone in yards?
To calculate the slant height of a cone with a diameter of 15 yards and lateral area of 287.5 square yards, divide the lateral area by the product of pi and the radius of the base. The slant height is approximately 12.3 yards when rounded to the nearest tenth.
To find the slant height of a cone with a known lateral area, we use the formula for lateral surface area of a cone: L = \\(\pi\\)r\ell, where L stands for lateral area, r for radius of the base, and \ell for the slant height. Given the diameter of 15 yards, we first calculate the radius as half the diameter, which is 7.5 yards. The equation with the given lateral area (287.5 square yards) would look like this: 287.5 = \\(\pi\\) \\times 7.5 \\times \ell. Solving for \ell, we divide the lateral area by \\(\pi\\) times the radius:
\ell = 287.5 / (\\pi \\times 7.5)
To get an approximate value, we use \\(\pi\\) = 3.1416:
\ell \\approx 287.5 / (3.1416 \\times 7.5)
\ell \\approx 12.27 yards
Thus, the slant height of the cone is approximately 12.3 yards when rounded to the nearest tenth.
The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 8:5. If there are no additional butterflies at the farm, what is the ratio of Queen butterflies to the total number of butterflies at the farm?
Answer:
the answer is 2:7
Step-by-step explanation:
just because
a right rectangular prism with a square base is cut parallel to its base the shaoe exposed is a cross section which shape bast describes this cross section?
A-triangle
B-trapezoid
C-square
D-rectangle not a square
A cross section obtained by cutting a right rectangular prism with a square base parallel to its base will also be a C. square, as it reflects the shape of the prism's base.
The question is asking about the shape of a cross section obtained by cutting a right rectangular prism with a square base parallel to its base. Such a cut would expose a shape on the surface of the prism that directly corresponds to the shape of the base. Since the base is given as a square, the cross section in this case would also be a square. The hypothesis of the right angle implies that the sides of the prism are perpendicular to the base, thereby maintaining the square shape upon slicing parallel to the base.
The cross section would not be a triangle (option A) or a trapezoid (option B), as these shapes do not correspond to a square base. It would not be a rectangle that is not a square (option D), because the length and width of the cross section would be the same, maintaining its square shape. Therefore, the correct answer is option C - a square.