the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70cm. what is the with of thr rectangle?
2 1/4 was subtracted twice from a number; then 1/8 was subtracted three times and 2/3 was subtracted twice. The resulting number is 3 11/24 . Find the number
Answer:
9 2/3
Step-by-step explanation:
-5.8c+4.2-3.1+1.4c combine like terms to create an equivalent expression
The equivalent expression to the given expression is:
[tex]-4.4c+1.1[/tex]
Step-by-step explanation:We are given an algebraic equation in terms of the variable c as follows:
[tex]-5.8c+4.2-3.1+1.4c[/tex]
Now, we will first combine the like term i.e. the terms with the same variable term and the constant terms are combined altogether i.e. the expression is given as follows:
[tex]-5.8c+4.2-3.1+1.4c=-5.8c+1.4c+4.2-3.1[/tex]
On simplifying this expression we get :
[tex]-5.8c+4.2-3.1+1.4c=-4.4c+1.1[/tex]
Final answer:
To combine like terms in the expression -5.8c + 4.2 - 3.1 + 1.4c, we add the coefficients of the terms with 'c' and separately combine the constant terms. The simplified expression is -4.4c + 1.1.
Explanation:
To combine like terms and create an equivalent expression for -5.8c + 4.2 - 3.1 + 1.4c, we must identify and combine terms that have the same variable to the same power, which in this case are the terms with 'c' and the constant terms without variables.
Combining like terms with 'c':
-5.8c + 1.4c = -4.4c
Combining constant terms:
4.2 - 3.1 = 1.1
Equivalent Expression:
The equivalent expression by combining like terms is -4.4c + 1.1.
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve
B.x=-3 sqrt5 and x= -1 is the correct answer
The correct answer is gonna be B. Or x = -3√5 and x = -1
write the expression in complete factored form q^2(p+1)+3(p+1)
Tom wanted to compare what proceeds he would receive with a simple interest note versus a simple discount note. Both had the same terms: $18,235 at 10% for 2 years. Use ordinary interest as needed.
a. Calculate the simple interest note proceeds.
b. Calculate the simple discount note proceeds.
Find the equation of the line having a slope of 4 and a y-intercept of (0,3)
Decide if the measurements determine no triangle, a unique triangle, or more than one triangle.
ITEMBANK:
3 cm, 4 cm, 11 cm
3 cm, 5 cm, 15 cm
30°, 40°, 110°
6 cm, 7 cm, 12 cm
60°, 60°, 60°
8 cm, 90°, 45 °
Options: No triangle, Unique triangle, or More than one triangle
Answer:
1.)No Triangle
2.)No Triangle
3.)More Than One Triangle
4.)Unique Triangle
5.)More Than One Triangle
6.)Unique Triangle
A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4. How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee? 1, because y = −x + 10 2, because y = −x + 10 9, because y = −x + 10 10, because y = −x + 10
Answer:
if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour.
1, because y = -x + 10
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total 21499
. The variable costs will be $12
per book. The publisher will sell the finished product to bookstores at a price of 22.75
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Suppose that x is normally distributed with a mean of 10 and a standard deviation of 3. find p(x ≤ 6). note: round your answer, if necessary, to two places after the decimal. please express your answer with two places after the decimal.
A circle has a circumference of 361π. What is the diameter of the circle?
The formula to find circumference of circle is given by
[tex] C = 2\pi r [/tex]
Where r is radius of circle and pi =3.14
We are given Circumference here as 361π
Plugging the value in the formula :
[tex] 361\pi = 2\pi r [/tex]
r=361/2 = 180.5
radius of circle is 180.5.
We know that Diameter is double of radius.
So diameter = 2*180.5 = 361
Answer : diameter of circle is 361.
Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Assuming that a sample (n = 504) has a sample standard deviation of 2.26, what is the upper bound of a 95% confidence interval if the sample mean is 2.96?
The upper bound of a 95% confidence interval if the sample mean is 2.96 is 3.16.and this can be determined by using the formula of standard error and margin of error.
Given :
Assuming that a sample (n = 504) has a sample standard deviation of 2.26.95% confidence interval.The sample mean is 2.96.First, evaluate the standard error by using the below formula:
[tex]\rm SE = \dfrac{\sigma}{\sqrt{n} }[/tex]
Now, put the values of n and [tex]\sigma[/tex] in the above equation in order to determine the standard error.
[tex]\rm SE = \dfrac{2.26}{\sqrt{506} }[/tex]
SE = 0.10
In order to determine the margin of error multiplies the standard error by 2.
ME = 0.1 [tex]\times[/tex] 2
ME = 0.20
Now, add the margin of error and the sample mean in order to evaluate the upper bound.
= 2.96 + 0.20b
= 3.16
The upper bound of a 95% confidence interval if the sample mean is 2.96 is 3.16.
For more information, refer to the link given below:
https://brainly.com/question/25436087
25 if answered please help
How much longer is a 1 inch button that 3/8 inch button
Identify if the expressions below are polynomials or not for each of them.
Jason buys a pizza for $15.59 . He also buys 6 sodas. Each soda costs the same amount. He spends $23.33 on the pizza and the sodas. Jason finds the cost of each soda by calculating (23.33 − 15.59) ÷ 6 .
Jason found that each soda costs $1.29 by calculating (23.33 - 15.59) ÷ 6.
Explanation:Jason spends $23.33 on the pizza and the sodas, and the total cost of the pizza is $15.59. Let's find out the total cost of the sodas by subtracting the cost of the pizza from the total amount spent. So, $23.33 - $15.59 = $7.74.
Now, to find the cost of each soda, we need to divide the total cost of the sodas by the number of sodas purchased. In this case, there were 6 sodas, so $7.74 ÷ 6 = $1.29.
Therefore, Jason found that each soda costs $1.29 by calculating (23.33 - 15.59) ÷ 6.
Cost of each soda (x) is approximately $1.29.
Jason buys a pizza for $15.59.
The cost of the pizza is $15.59.
He also buys 6 sodas:
The total cost of the pizza and sodas is $23.33.
Each soda costs the same amount:
Let's denote the cost of each soda as x.
He spends $23.33 on the pizza and the sodas.
The total cost can be expressed as the sum of the cost of the pizza and the cost of the sodas:
15.59+6x=23.33.
Now, Jason finds the cost of each soda by calculating (23.33 − 15.59) ÷ 6.
This expression represents the cost of each soda.
Let's calculate it:
[tex]\frac{7.74}{6} \approx 1.29[/tex]
So, Jason finds that each soda costs approximately $1.29.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object? 4.9 9.8 10.2 19.6
Final answer:
The acceleration due to gravity on Earth is approximately 9.80 m/s² and is symbolized as g, which represents a constant rate of acceleration for free-falling objects in the absence of air resistance.
Explanation:
The acceleration due to gravity is a constant that plays a fundamental role in physics, particularly when discussing free-fall motion. On Earth, the acceleration due to gravity of a falling object, when air resistance is negligible, is approximately 9.80 m/s². This value, denoted by the symbol g, is used to calculate various parameters in the kinematic equations of motion for an object subject only to the force of gravity.
mr.kiniston jogged how many miles
Help needed and explain!!
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Sample Response: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.
Find the area of a sector with a central angle of 2pi/15 and a radius of 18.8 m
Answer:
74.02 square meters.
Step-by-step explanation:
We are asked to find the area of sector of circle, whose central angle is [tex]\frac{2\pi}{15}[/tex].
We will use area of sector formula to solve our given problem.
[tex]\text{Area of sector}=\frac{\theta}{2\pi}\times \pi r^2[/tex], where, r represents radius of circle.
Upon substituting our given values in above formula, we will get:
[tex]\text{Area of sector}=\frac{\frac{2\pi}{15}}{2\pi}\times \pi (18.8)^2[/tex]
Using fraction rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:
[tex]\text{Area of sector}=\frac{2\pi}{15\times 2\pi}\times \pi (18.8)^2[/tex]
[tex]\text{Area of sector}=\frac{1}{15}\times \pi \times 353.44[/tex]
[tex]\text{Area of sector}=23.5626666\times \pi[/tex]
[tex]\text{Area of sector}=74.0243004\approx 74.02[/tex]
Therefore, the area of given sector of circle is 74.02 square meters.
what is the area of a regular hexagon with a radius of 14 inches
find the height of each pyramid hexagonal pyramid: volume 1320 ft cubed area of the base 120 ft squared
Answer:
oiuy
Step-by-step explanation:
2498
If a ship sailed due south from Iceland to Antarctica, it would sail through an angel of rotation of about 140° around Earths center. Find this measure in radians. Then , using 3960 miles for earth radius, find how far the ship would travel.
To convert the angle in degrees to radians, multiply the angle by π and divide by 180. The ship would travel approximately 3081.23 miles.
Explanation:To find the measure in radians, we need to convert the given angle from degrees to radians. There are 2π radians in a full circle, which is equal to 360°. Therefore, to convert 140° to radians, we can use the formula: radians = (degrees × π) / 180. Substituting the given angle, we get: radians = (140 × π) / 180 = (7π / 9) radians.
Next, to find how far the ship would travel, we need to calculate the arc length. The formula for the arc length of a circle is: arc length = radius × angle in radians. Given that the radius of Earth is 3960 miles and the angle of rotation is (7π / 9) radians, we can calculate the arc length as follows: arc length = 3960 × (7π / 9) ≈ 3081.23 miles.
Learn more about Conversion of angles to radians here:https://brainly.com/question/33297596
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What is the volume of the right rectangular prism 8L 10W 3
At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is the height of the tree round to the nearest 100th
alex originally paid $5200 for her car 1 year ago. the value of her car now is $4,420. what is the percent of decrease in the value of her car?
Determine the simple interest. the rate is an annual rate. Assume 360 days in a year. p= $460 r= 2.75% t= 3.25 years