The area of a rectangle is 490 in². The ratio of the length to the width is 5:2. Find the length and the width
Answers
Answer: Length: 35 in, Width: 14 in
Step-by-step explanation:
Related Questions
Help I’ll give BRAINLIEST
Answers
Step-by-step explanation:
Let's rewrite the original equation as
\(y - 2 = 2x + 6 \Rightarrow y = 2x + 8\)
or in standard form, our equation becomes
\(2x - y = -8\)
where A = 2, B = -1 and C = -8
During the month, Fisher Company's Work in Process inventory account was credited for $120,500, which represented the Cost of Goods Manufactured for the month. Only one job remained in process on May 31; this job had been charged with $9,600 of applied overhead cost. The amount of direct materials cost in the unfinished job would be:
Answers
The amount of direct materials cost in the unfinished job would be $97600.
What is direct material cost?The price of direct materials is directly related to the unit of production and is immediately identifiable. For instance, the price of glass is a direct material expense in the production of light bulbs. The primary component needed for the production of commodities or products was material. Costs of raw materials or components used directly in the production of goods are referred to as direct material costs. For instance, if Company A manufactures toys, the cost of the plastic used to build the toys would be an example of a direct material cost.
Given Data
Work in Process inventory account was credited for $120,500.
charged with $9,600 of applied overhead cost.
Direct material cost = Work in progress - Overhead cost - Direct labor
Direct labor = 9600 ×\(\frac{100}{75}\)
Direct labor = 12800
Direct material cost = 120000 - 9600-12800
Direct material cost = 97600
The amount of direct materials cost in the unfinished job would be $97600.
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The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?
Answers
The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.
The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution. Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.
Given that,
Perimeter = 2(l + b) = 50cm
And also given that,
l = 2 + 3b
Substituting the value of l in perimeter we get
2((2 + 3b) + b) = 50cm
2(2 + 4b) = 50cm
4 + 8b) = 50cm
8b = 50 - 4
b = 46/8
b = 5.75
Substituting the value of b in l, we get
l = 2 + 3(5.75)
l = 19.25
Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
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If a < b, what additional assumptions on a and b will guarantee that a^2 < b^2. Prove your assumption.
Answers
Answer:
An additional assumption is that a is not negative.
Step-by-step explanation:
If a could be negative, then:
(-7)^2 < 3^2 would be false because
49 is not greater than 9
MULTIPLE CHOICE LaShawn designs websites for local
businesses. He charges $25 an hour to build a website, and
charges $15 an hour to update websites once he builds them.
He wants to earn at least $100 every week, but he does not
want to work more than 6 hours each week. What is a possible
solution to describe how many hours LaShawn can spend
building a website (x) and updating a website (y) in a week?
A (1,4)
B (1,6)
C (2,3)
D (3, 3)
Answers
where is root 19??????
Answers
Answer:
4.358
Step-by-step explanation:
sqrt(19) = 4.358
The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:
f(t)=200+1,200(0.73)2t,
where t is measured in years since the computer was purchased.
Use the drop-down menus to complete the explanation of how the function models the computer's value over time.
Answers
Answer:
$14000200Step-by-step explanation:
a)Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.
f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1
f(0) = 1400
When t=0, the value of the computer is 1400 dollars.
__
b)The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.
__
c)The exponential term gets closer to 0, so the function value gets closer to ...
f(∞) ≈ 200 +0 ≈ 200
f(t) gets closer and closer to 200.
Answer:
1) 1,400
2) 0
3) 200
Evaluate the given expression for x=5
Answers
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
What is the value of the expression “two less than six times the difference of a number and five” when n = 9?
22
16
32
31
Answers
Answer:
the answer is 22
Answer: 22
Step-by-step explanation:
This is the answer because if you work backwards then number minus five is actually 9-5, so you're left with 4. And then you need to do 6 times he difference of 9-5, which is 4. So, 6 X 4 would equal 24. And then you need to do 2 less than that answer. So 24-2 would equal 22.
Graph the inequality. y is less than negative one fourth times x minus 3 The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading above the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative, 3 with shading above the line. The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
Answers
A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
How to determine the required ordered pair?In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;
y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.
Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).
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Answer:
it’s D dotted line with shading below
Step-by-step explanation:
i got it on my quiz
A brewery distributes beer in cans labeled 12 oz. The Bureau of Weights and Measures randomly selects 36 cans, measures their contents, and obtains a sample mean of 11.82 oz. Assume that σ is known to be 0.38 oz. At 0.01 significance level, can we conclude that the brewery is cheating consumers? Please show all 4 steps of the classical approach clearly.
Answers
Answer:
Hypothesis
Null hypothesis:\(\mu = 12\)
Alternative hypothesis:\(\mu \neq 12\)
Statistic
\(t=\frac{11.82-12}{\frac{0.38}{\sqrt{36}}}=-2.84\)
\(df=n-1=36-1=35\)
P value
The p value for this case would be given by:
\(p_v =2*P(t_{(35)}<-2.84)=0.0075\)
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 12 oz.
Step-by-step explanation:
Information given
\(\bar X=11.82\) represent the sample mean
\(s=0.38\) represent the sample standard deviation
\(n=36\) sample size
\(\mu_o =12\) represent the value to verify
\(\alpha=0.01\) represent the significance level
t would represent the statistic
\(p_v\) represent the p value for the test
Hypothesis to verify
We want to cehck if the true mean is 12 or not, the system of hypothesis would be:
Null hypothesis:\(\mu = 12\)
Alternative hypothesis:\(\mu \neq 12\)
Statistic
The statistic is given by:
\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)
Replacing the info given we got:
\(t=\frac{11.82-12}{\frac{0.38}{\sqrt{36}}}=-2.84\)
The degrees of freedom are given by:
\(df=n-1=36-1=35\)
P value
The p value for this case would be given by:
\(p_v =2*P(t_{(35)}<-2.84)=0.0075\)
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 12 oz.
In our new car, we were able to drive 30 miles in a half an hour. From this information, we can determine the car's
acceleration
velocity
speed
direction
Answers
Answer:
Step-by-step explanation:
Direction or acceleration
50 POINTS HELP/BRAINIEST
GEOMETRY
The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the inscribed angle theorem. An alternative proof of this construction is shown below. Complete the proof
Given: Circle C is constructed so that CD = DE = AD; CA is a radius of circle C.
Prove: AE is tangent to circle C.
Answers
Answer:
Proof:
By the inscribed angle theorem, we know that angle BAC is equal to angle DEC. By the second corollary to the inscribed angle theorem, we know that line segment AE is perpendicular to line segment AC. Therefore, line segment AE is tangent to circle C.
Step-by-step explanation:
Analyze and ensure the answer is correct.
Answer:
Step-by-step:
By the inscribed angle theorem, we know that angle BAC is equal to angle DEC. By the second corollary to the inscribed angle theorem, we know that line segment AE is perpendicular to line segment AC. Therefore, line segment AE is tangent to circle C.
the sign at the garbage sale said 12 paper back books could be purchased for 8$ how much 3 paper backbooks cost
Answers
\(\begin{array}{ccll} books&\$\\ \cline{1-2} 12 & 8\\ 3& x \end{array} \implies \cfrac{12}{3}~~=~~\cfrac{8}{x} \\\\\\ 4 ~~=~~ \cfrac{ 8 }{ x }\implies 4x=8\implies x=\cfrac{8}{4}\implies x=2\)
Answer:
2$
Step-by-step explanation:
If 12 paperback books could be purchased for 8$,
We need to divide by 4 on each side to find the answer.
Therefore, 3 paperback books costs 2$.
I would appreciate it if you mark my answer as brainliest.
In a race, 24 out of the 25 bicyclists finished in less than 57 minutes. What percent of bicyclists
finished the race in less than 57 minutes? Write an equivalent fraction to find the percent
NO LINKS
Answers
At the beginning of a snowstorm, Amadou had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Amadou have on his lawn 4 hours after the snow began to fall? How much snow would Amadou have on his lawn after tt hours of snow falling
Answers
Answer:
4 inches
Step-by-step explanation:
Given information:
2 inches of snow on the lawnRate of snow falling = 0.5 inches per hourSnow did not meltLet y = height of snow on the lawn
Let t = time in hours
⇒ y = 2 + 0.5t
To find how much snow is on the lawn after 4 hours of snowing, substitute t = 4 into the found equation and solve for y:
⇒ y = 2 + 0.5(4)
⇒ y = 2 + 2
⇒ y = 4 inches
Therefore, Amadou will have 4 inches of snow on his lawn after 4 hours of snow falling.
After 4 hours of continuous snowfall at a rate of 0.5 inches per hour, Amadou would have 4 inches of snow on his lawn. After t hours of snow falling at the same rate, he would have 2 + 0.5t inches of snow on his lawn.
After 4 hours of snow falling at a constant rate of 0.5 inches per hour, Amadou would have:
Snow accumulation = Initial snow + (Snowfall rate × Time)
Snow accumulation = 2 inches + (0.5 inches/hour × 4 hours)
Snow accumulation = 2 inches + 2 inches
Snow accumulation = 4 inches of snow.
After t hours of snow falling, the amount of snow on Amadou's lawn would be:
Snow accumulation = Initial snow + (Snowfall rate × Time)
Snow accumulation = 2 inches + (0.5 inches/hour × t hours)
Snow accumulation = 2 + 0.5t inches of snow.
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Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Answers
99 minutes * 0.43 = 42.57 minutes
Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.
1. Work out these calculations
104 divide to 4 =
168 divide to 7 =
342 divide to 6 =
423 divide to 9 =
472 divide to 8 =
305 divide to 5 =
112 divide to 7 =
207 divide to 9 =
2. Work out these division calculations with their remainders (e.g.: 25r1)
351 divide to 6 =
509 divide to 9 =
398 divide to 8 =
375 divide to 4 =
436 divide to 7 =
296 divide to 3 =
254 divide to 9 =
345 divide to 6 =
396 divide to 7 =
964 divide to 5 =
231 divide to 4 =
3. What is the missing digit?
?7 x 9 = 333
Answers
Answer:
1:
26
24
57
47
59
61
16
23
2:
58.5
56.556
49.75
93.75
62.2857142857
98.667
28.223
57.5
56.5714285714
19.28
57.75
Answer:
100r1
Step-by-step explanation:
MARS On Mars, the gravity acting on an object is less than that on Earth. On Earth, a golf ball hit with an initial upward velocity of 26 meters per second will hit the ground in about 5.4 seconds. The height h of an object on Mars that leaves the ground with an initial velocity of 26 meters per second is given by the equation h=−1.9t2+26t
. How much longer will it take for the golf ball hit on Mars to reach the ground? What is the maximum height of the golf ball on Mars? Round your answer to the nearest tenth.
It takes about
seconds longer for the golf ball hit on Mars to reach the ground.
The maximum height of the golf ball on Mars is about
meters.
Answers
The maximum height of the golf ball on Mars is about 48.8 meters.
To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:
0 = -1.9t² + 26t
Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.
To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.
In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:
= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters
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if sin 0=7/25 find csc 0
Answers
Answer:
csc theta = 25/7
Step-by-step explanation:
I believe you meant the Greek character theta, not 0. Note that sin 0 = 0, which is definitely not equal to 7/25.
Rewriting the given info, we obtain:
sin theta = 7/25 find csc theta
The csc function is the reciprocal of the sin function. Therefore,
if sin theta = 7/25, then csc theta = 25/7
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 4cm The longest side of the drawing measures 22cm The longest side of the actual triangular piece to be sculpted must be 18.3m long. How long will the shortest side of this piece be?
Answers
Answer:
72cm
Step-by-step explanation:
6cm times 24cm divided by 2
Factor 21x^2 - 14x - 56
Answers
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
3 1/4 divided 2 2/3=
Answers
1.21875 it is the answer of this question
A
4
B
10
2
AABC - ATUV
Find x.
T
C
6
U
X = [?]
X
![A4B102AABC - ATUVFind x.TC6UX = [?]X](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/XxdoR9QVoVYbrp68o5WkUUaccyRULWHc.png)
Answers
The unknown length of the similar figure is:
x = 15 units
How to find the unknown length of the similar figure?Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.
Using the above concept, we can equate the ratio of the corresponding sides and solve for the unknown lengths. That is:
TV/AC = TU/AB
x/10 = 6/4
x/10 = 1.5
x = 10 * 1.5
x = 15 units
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7) An ice cream factory makes 210 quarts of ice cream in 2 hours. How many
quarts could be made in 36 hours? What was that rate per day?
any kind of help would be deeply appreciated!
Answers
Answer:
3780quarts, making 105 quarts per day
Step-by-step explanation:
36 is 2x18, so 210x18 equals 3780. divide 210 by 2 to get 105
if you let a soap in the floor does the soap is cleaning the floor or is the soap getting dirty?¿
Answers
Answer:
que
Step-by-step explanation:
no se
Answer:
soap is getting dirty regardless if there is water on the floor.
Step-by-step explanation:
In certain deep parts of oceans, the pressure of sea water,P, in pounds per square foot, at a depth of d feet below the surface, is given by the following equation P=14+ 4d/9
If a scientific team uses special equipment to measure the pressure under water and find it to be 306 pounds per square foot, at what depth is the team making their measurements?
Answers
It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.
The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.
Substituting P = 306 in the equation, we get:
306 = 14 + 4d/9
Multiplying both sides by 9, we get:
2754 = 126 + 4d
Subtracting 126 from both sides, we get:
2628 = 4d
Dividing both sides by 4, we get:
d = 657 feet
The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.
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Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answers
8miles/0.5miles= 16
$0.60 x 16 = $9.60
Answer:
Sorry this is so late but for those that need it. The answer is 4.8
Step-by-step explanation:
In order to get this i set up my equation like so.
0.60*(0.5*16)=y
Why I did it like this is because for every 0.5 thats half a mile so 8 miles times 2 to get the half miles was 16.
After figuring out that i started my equation and got
0.60*8=y
Then to finish it and get $4.8 Donated.
Hope this helped
A brainliest is always appreciated.
If $3200 is invested at a rate of 2.4% that is compounded annually, how much will it be worth after 4 years?
Answers
Answer:
To calculate the future value of an investment compounded annually, we can use the formula:
Future Value = Principal Amount * (1 + Interest Rate)^(Number of Periods)
In this case, the principal amount is $3200, the interest rate is 2.4% (or 0.024), and the investment is compounded annually for 4 years.
Plugging these values into the formula, we get:
Future Value = $3200 * (1 + 0.024)^4
Calculating the exponent first:
(1 + 0.024)^4 = 1.024^4 = 1.09985925696
Multiplying the principal amount by the exponent:
Future Value = $3200 * 1.09985925696
Future Value ≈ $3,519.47
Therefore, the investment will be worth approximately $3,519.47 after 4 years when compounded annually at a rate of 2.4%.
Step-by-step explanation:
Approximately what portion of the beaker is filled?
A. 1/2
B. 1/4 C.3/4
Answers
Answer:
B. \(\frac{1}{4}\)
Step-by-step explanation:
The whole beaker is 1. If you measure the beaker, you will notice you can fill up the beaker to the brim (whole, which is 1) if you use the current amount 4 times, and four times is \(\frac{1}{4}\).
