Answer:
200 meters
Explanation:
Let the standard length of the film reel be x
Percentage of film used = 25%
Amount of film reel used = 0.25x
Amount left = 150m
Taking the sum;
0.25x + 150 = x
Collect like terms
0.25x - x = -150
-0.75x = -150
x = 150/0.75
x = 200 meters
Hence the standard length on a film reel is 200 meters
6/10 + 5/100
is it
65/100 or 65/110 or 56/100 or 56/110
Answer:
65/100 that is the answer to this question
Which algebraic expression represents this word description?
The quotient of four and the sum of a number and three
Answer:
4÷(6+3)
Step-by-step explanation:
6+3 is the sum of a number and 3, and you divide 4 by that.
The algebraic expression represents the statement The quotient of four and the sum of a number and three is 4÷(x + 3).
What is an expression?A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The quotient of four and the sum of a number and three,
The above statement can be written as,
4÷(x + 3)
Here, x is the number
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What is always true about the angles of an isosceles triangle? All three angles are congruent. At least two of the angles are congruent. The vertex angle is a right angle. The vertex angle is obtuse.
Answer:
at least 2 angles are congruent
Step-by-step explanation:
isoseles triangles have two congruent opposite angles such as 70 70 40
If IK and IN are parallel lines and m
=
Answer:
I think its either 95 or 100
Step-by-step explanation:
Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts
Answer:
Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5
An exponential function is graphed below. What is the range of the function?
Answer:
D
Step-by-step explanation:
The y coordinate on the graph can be any number under 0, as the horizontal asymptote is 0.
helpppppp pleaseeeee
Answer:
A: 24
B: 40.04
Step-by-step explanation:
A=L*W
8*3=24
5.2*7.7=40.04
A swimming pool is in the form of a semicircular-sided figure
Given:
A swimming pool is in the form of a semicircular-sided figure
Required:
What is the area of the 3 ft wide surrounding the pool?
Explanation:
We will find area as:
\(\begin{gathered} A=\text{ Area of semicircle including side walk }-\text{ Area of semicircle without } \\ \text{side walk} \end{gathered}\)Now, radius for smaller semicircle is 5 ft and radius for larger semicircle (5 + 3 = 8)
So,
\(\begin{gathered} A=(\frac{3.14\times8^2}{2})-(\frac{3.14\times5^2}{2}) \\ A=100.48-39.25 \\ A=61.23ft^2 \end{gathered}\)If we take walk on both sides, we will multiply it with 2
A = 2*61.23
A = 122.46 ft square
Now, we have one side of bigger rectangle is 10 + 3 + 3 = 16 ft
So,
\(\begin{gathered} A\text{ = area of rectangle - area of square} \\ A=(16\times10)-10^2 \\ A=60ft^2 \end{gathered}\)Finally,
\(\begin{gathered} A=122.46+60 \\ A=182.46ft^2 \end{gathered}\)Answer:
Hence, above is the answer.
Combina los términos semejantes para crear una expresión equivalente 7p-(-5)+(-1)
If f(x)=9x+2, for what value of x is the value of the function 29?
Answer:
The answer is 3.
Step-by-step explanation:
In oder to find the value of x you have to let f(x) = 29 :
\(f(x) = 9x + 2\)
Let f(x) = 29
\(9x + 2 = 29\)
Next, you have to solve x by substracting 2 and divide 9 to both sides :
\(9x + 2 = 29\)
\(9x + 2 - 2 = 29 - 2\)
\(9x = 27\)
\(9x \div 9 = 27 \div 9\)
\(x = 3\)
Answer:
Answer shown below.
Step-by-step explanation:
For 29;
It means f(x)= 9x + 2 =29
Therefore; 9x =29-2=27
9x = 27
X=27/9
x=3
Almonds are sold in 8-ounce and 20-ounce packages. What is the least number of ounces you can buy of each package to have equal amounts of each package size?
The least number of ounces you can buy of each package to have equal amounts of each package size is ounces
Answer:
40
Step-by-step explanation:
\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)
Which of the following are geometric sequences? Select all correct answers.
Answer:
A, B, E
Step-by-step explanation:
Notice that A, B, and E all maintain their common ratios, while C and D do not.
if a number is increased by 20% the result is 24. find the number
Answer:
20
Step-by-step explanation:
x+20%=24x+x*20/100=24x+0.2x=241.2x=24x=24/1.2x=20Molly and Arthur are taking their daughter Ginny on a roller coaster ride. For safety, they need to find their total weight before getting into the same car. Molly’s weight is MMM kilograms, Arthur’s weight is AAA kilograms, and Ginny’s weight is GGG kilograms. The expression (M+A)+G(M+A)+Gleft parenthesis, M, plus, A, right parenthesis, plus, G describes their total weight. We can also use the expression A+(G+M)A+(G+M)A, plus, left parenthesis, G, plus, M, right parenthesis to represent the same quantity. Match each amount in the situation with the expression that represents it.
Their total weight before getting into the same car is,
⇒ ( M + A ) + G
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Molly's weight is M kilograms, Arthur's weight is A kilograms, and Ginny's weight is G kilograms.
Hence, Their total weight before getting into the same car is,
⇒ ( M + A ) + G
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The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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You pick a card at random what is p(factor of 42)
Answer:
2
Step-by-step explanation:
21*2
What is the sum of the fractions? Use the number line to help find the answer. 3/5 + ( - 7/5) Answers: Wh Three-fifths + (Negative StartFraction 7 over 5 EndFraction A number line going from negative 2 to positive 2 in increments of one-fifth. Negative 2 Negative four-fifths Four-fifths 2
Answer:
\(\frac{-4}{5}\)
Step-by-step explanation:
\(\frac{3}{5} - \frac{7}{5} = \frac{3-7}{5} = \frac{-4}{5}\)
The sum of the fractions is -4/5.
What is a number line?The real numbers arranged in order on a geometric line form a number line. The points on the geometric line represent real numbers.
On the number line, the addition of a positive number a to a number b moves the point at b to the right by a units.
The addition of a negative number -a to a number b moves the point at b by a units to the left.
The point H in the diagram is at the number 3/5, third stick to the right of 0.
Adding -7/5 to 3/5 means moving the point H to the left by 7 sticks. Doing so we find the point at -4/5 as shown in the figure.
The final position of the point after addition is -4/5.
The value of 3/5 - 7/5 is, thus, -4/5.
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ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST!!!!!!!!!!!
Answer:
x = 1 and y = -2
Step-by-step explanation:
Given that,
2x-3y = 8 ..(1)
4x+3y = -2 ..(2)
Add equation (1) and (2),
2x-3y+4x+3y = 8+(-2)
6x = 6
x = 1
Put the value of x in equation (1).
2-3y = 8
2-8 = 3y
-6 = 3y
y = -2
Hence, the value of x is 1 and that of y is -2.
Whats the pattern: 1, 1/4, 1/9, 1/16, 1/25
Answer:
squares of the reciprocals of natural numbers
Step-by-step explanation:
The numbers are squares of the reciprocals of successive natural numbers.
1 : (1/1)^2 = 1
2 : (1/2)^2 = 1/4
3 : (1/3)^2 = 1/9
4 : (1/4)^2 = 1/16
5 : (1/5)^2 = 1/25
Answer:
squares of the reciprocals of natural numbers
Step-by-step explanation:
Find angles A, B, C and D
Answer: a=101 b=79 c=83 d=97
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Answer:what do u need help on
Step-by-step explanation:
Answer:
it’s 4
Step-by-step explanation:
Write a recursive sequence that represents the sequence defined by the following explicit formula:
The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:
\(a_1 = -32\)\(a_{n + 1} = -\frac{1}{4}a_n\)What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
The first term and the common ratio for this problem is given as follows:
\(a_1 = -32, q = -\frac{1}{4}\)
The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:
\(a_{n + 1} = -\frac{1}{4}a_n\)
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HI PLEASE HELP ME QUICK I DON'T UNDERSTAND THIS
Here is a set of signed numbers: 7, -3, 1/2, -.8, .8, 1/10, -2
1) If their numbers represent temperatures in degrees Celsius, which is the coldest?
Answer:
-3 would probably be the coldest
Step-by-step explanation:
based on my research the higher the number in celsius the hotter it is. the lower the number the colder it is. and since -8 is the lowest it is the coldest temperature.
also may i ask what you dont understand? i can help you
edit
so the choices are
7 , -3 , 1/2 , -0.8 , 0.8 , 1/10 , - 2
we can ignore the choices without the negative signs so..
-3, -0.8, and - 2
is what we have left
-0.8 would not be the coldest because it is not the lowest value
-2 would not be the coldest because it is not the lowest value
-3 is the coldest because it is the lowest value.
You may think that -3 should be the highest since it has "3", but in negative its different. -1 would be greater than -5 because it is closer to 0
given: an exterior stud wall with brick veneer is 11 ft tall and 40 ft long. 25 % of the area of the wall is windows (glass, frame and sash). find: total weight of the wall and the average dead load in lb/ft of the length of the wall (per foot of wall length) that the wall exerts on the floor. solution: use the tables in hibbeler for weights of materials.
The total weight of the wall and the average dead load per foot of wall length can be calculated.
The total weight of the wall can be calculated by finding the weight of the bricks and frame, then adding the weight of the glass and sash. The total weight of the wall (W) is calculated as follows:
W = (0.25*40ft*11ft)*(weight of bricks + weight of frame) + (0.75*40ft*11ft)*(weight of glass + weight of sash)
The average dead load (F) per foot of wall length is calculated by dividing the total weight of the wall by the total length of the wall (L):
F = W/L = (0.25*40ft*11ft)*(weight of bricks + weight of frame) + (0.75*40ft*11ft)*(weight of glass + weight of sash) / (40ft)
Using the tables in Hibbeler for weights of materials, the total weight of the wall and the average dead load per foot of wall length can be calculated.
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Please help me, I need answers in 2 days. Please give answers in one picture otherwise i cannot view it without paying. Would be very appreciated. Will give branliest
Answer:
Step-by-step explanation:
i hope this is good enough
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
1) add x, subtract 1, divide by 4
2) add x, subtract 4, divide by 4
3) subtract 3x, subtract 4, divide by 4
4) subtract 3x, subtract 4, divide by -4
5) subtract 1, add x, divide by 4
Answer:
Answer 1)
Step-by-step explanation:
Starting with 1 + 3x = -x + 4, add x to both sides. Result: 1 + 4x = 4
Next, subtract 1 from both sides, obtaining 4x = 3.
Finally, divide both sides by 4: x = 3/4
This matches Answer 1).
Answer: add x, subtract 1, divide by 4
subtract 3x, subtract 4, divide by -4
subtract 1, add x, divide by 4
Step-by-step explanation:
I got this right.
How far does the tip of a minute hand on a clock travel in 15 minutes if the distance from the center to the tip is 8cm? Leave your answers in terms of pi or round your answer to the nearest tenth.
SHOW WORK
The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.
How to find the distance of the tip minute handThe distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.
The circumference of a circle is given by the formula:
C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.
The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.
The circumference of the circle traced by the tip of the minute hand is:
\(\text{C} = 2\pi \text{r}\)
\(= 2\pi (8)\)
\(= 16\pi \ \text{centimeters}\)
Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.
The distance traveled by the tip of the minute hand in 15 minutes is:
\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)
\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)
\(= 4\pi \ \text{centimeters}\)
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Answer:
4π cm ≈ 12.6 cm
Step-by-step explanation:
The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand: r = 8 cm.
A clock face is divided into 12 equal sectors (numbered 1 to 12).
It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.
This means that 15 minutes equals 3 sectors, which is a quarter of the circle.
To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.
The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:
\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)
Simplifying, we get:
\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)
\(\sf Distance=4 \pi\)
Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.
Look at photo asap please
Answer:
option D is correct.
hope it helps
Which of the following statements is true when regarding creating frequency tables for the following observationsa. ?
a. The sum of the frequencies will be equal to the total number of data points.
b. To calculate the number of classes it is best to divide the average number by 2.
c. To find the number of classes, you should split the data into two main classes first.
d. The lower limit will be 0 in this example.
What is the IQR for 10, 14, 15, 15, 16, 18, 19, 21
Answer:
15-18
Step-by-step explanation:
The IQR is the middle 50% of a set of numbers
There are 8 numbers, so its the middle 4
The middle 4 consists of 15,15,16,18
The range is 15-18