Answer:
Length = 9 in Width = 12 inStep-by-step explanation:
Length L = 3 + W
Perimeter P = 42 in
Perimeter = 2L + 2W
plugin values:
42 = 2(3 + W) + 2W
42 = 6 + 2W + 2W
42-6 = 4W
W = 36 / 4
W = 9
solve L by substituting the value of W=9 into the equation:
L = 3 + W
L = 3 + 9
L = 12
therefore, the dimensions of the rectangle:
Length = 9 in
Width = 12 in
The dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
Let l be the length and w be the width of the rectangle.
Length l = 3 + w
Perimeter P = 42 in
Perimeter = 2l + 2w
42 = 2(3 + w) + 2w
w = 36/4
w = 9 in
solve for l by substituting the value of w = 9 into the equation:
l = 3 + w
l = 3 + 9
l = 12 in
Thus, the dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
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3
3
Right triangle similarity
What is the value of x
Answer:
21
Step-by-step explanation:
The length of the other leg (x) is 12 cm.
We have,
To find the length of the other leg, we can use the Pythagorean theorem.
Using this theorem, we can set up the following equation:
x² + 5² = 13²
Simplifying the equation:
x² + 25 = 169
Subtracting 25 from both sides:
x² = 144
Taking the square root of both sides:
x = ±12
Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.
Thus,
The length of the other leg (x) is 12 cm.
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The complete question:
In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.
What is the length of the other leg, represented as x?
Find the distance to the nearest tenth,between S(6,5) and T(-3,-4)
Answer:
The answer is 12.7 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
S(6,5) and T(-3,-4)
The distance between them is
[tex] |ST| = \sqrt{ ({6 + 3})^{2} + ({5 + 4})^{2} } \\ = \sqrt{ {9}^{2} + {9}^{2} } \\ = \sqrt{81 + 81} \\ = \sqrt{162} \\ = 9 \sqrt{2} \: \: \\ = 12.7279...[/tex]
We have the final answer as
12.7 units to the nearest tenthHope this helps you
Easy 7th grade math help me plz
Answer: -1
....................
Assume these were weekly. Christopher worked 44 hours at $9 a hour. Taxes were 20%. How much money was left?
Find the midpoint of the line segment joining points A and B.
A(8,-5); B(6.1)
The midpoint of the line segment is (Type an ordered pair.)
Answer:
(7,-2)
Step-by-step explanation:
6+8÷2=7
1-5=-4÷2=-2
5p = 2.5
A.) 5
B.)0.05
C.)0.5
D)2
Answer:
The answer is C
Step-by-step explanation:
THIS IS DUE IN 1 HOUR I WILL MARK BRAINLIEST
Jack has 24 game cards. He divides them between his brother, his sister, and himself in the ratio 2:1:5. How many cards does each get?
THERE IS 15 POINT WAITING FOR YOU
Answer:
brother gets 6 cards
sister gets 3 cards
he gets 15 cards
Answer:
8
Step-by-step explanation:
PLEASE HELP NEED THIS DONE ASAP
Answer:
Equation: $7 + $1.25t = $43.25
Solving:
$7 + $1.25t = $43.25
$1.25t = 36.25
$1.25t = 36.25
t = 29
So the answer is 29 minutes.
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. How many inches of snow will fall in 24 hours if it continues to snow at this rate?
(1 Point)
A)48 inches
B)36 inches
C)28.5 inches
D) 24 inches
Answer:
B) 36-in
Step-by-step explanation:
i will not bore you with the explanation ;w;
You operate a fresh fruit and vegetable market. For normal shipments, about 9.0% of the peaches are spoiled when they reached your market. You anticipate a busy weekend and would like to have 100 pounds of peaches to sell. To have 100 pounds of peaches and considering the spoilage rate, how many pounds should you order? A. 101 lbs. B. 105 lbs. C. 109 lbs. D. 110 lbs. E. 112 lbs.
Given:
Spoilage rate of fruits = 9% = 0.09
To find:
Amount of fruits to be order to have 100 pounds of peaches and considering the spoilage rate.
Solution:
Let the required amount of fruits you should order be x.
So, spoiled fruits = 9% of x = 0.09x
He would like to have 100 pounds of peaches to sell.
[tex]x-0.09x=100[/tex]
[tex]0.91x=100[/tex]
Divide both sides by 0.91.
[tex]x=\dfrac{100}{0.91}[/tex]
[tex]x=109.89[/tex]
[tex]x\approx 110[/tex]
The required amount of fruits to be order is 110 lbs. Therefore, the correct option is D.
Find all of the zeros
Answer:
{-3, -1, 1}
Step-by-step explanation:
Zeros refer to x-intercepts. X-intercepts are x values when y = 0. You can tell where they are by looking at where the line passes the x-axis.
Therefore, {-3, -1, 1} are the zeros.
an expression for 4 times the sum of 14 and 26
Answer:
4 (14+26)
Step-by-step explanation:
there is no need to use 4x (14+26)
American Airlines stock is currently $12.23 per share. How many shares could you buy
with $2000?
—————————
a-2000
b-200
c-163
d-164
Answer:
c
Step-by-step explanation:2000/12.23
Calculate the pay for the following day of a weekly time card given a wage of $12/hr
Answer:
Step-by-step explanation:
At a pay of 12$ per hour at 8 hours a day you will make 94$ a day or 658$ a week.
Estimate the total of 3,933+790+3,528+1,830 by adding the numbers and then rounding the result to the thousands place.
Answer:
The answer to your problem is 10000
Answer: 11,000
Step-by-step explanation:
Rounding to the nearest thousand first gives us,
4,000+1,000+4,000+2,000=11,000.
Tom invests $10,000 in a savings account that offers 3.5 percent interest, compounded continuously.
In 10 years Tom will have earned
Answer please will give brainlest answer!
26 people got off a boat 22 people got on now there's 74 people on the boat how many were on the boat to begin with
Answer:
Step-by-step explanation:
there were 78 people all together because 74-22=52 because it was 52 people altogether after the 26 got off and the 22 got on so 52+26=78 so THE ANSWER IS 78
-3 (4-2x) = 4 - 2x I can't seen to get this one
Let's see what to do buddy...
[tex] - 3(4 - 2x) = 4 - 2x[/tex]
Subtract the sides of the equation minus( 4 - 2x ) :
[tex] - 3(4 - 2x) - (4 - 2x) = 0[/tex]
Factoring ( 4 - 2x ) :
[tex](4 - 2x)( - 3 - 1) = 0[/tex]
[tex](4 - 2x)( - 4) = 0[/tex]
Divided the sides of the equation by -4
[tex]4 - 2x = 0[/tex]
Subtract the sides of the equation minus 4
[tex] - 2x = - 4[/tex]
Negatives simplified.
[tex]2x = 4[/tex]
Divided the sides of the equation by 2
[tex]x = \frac{4}{2} \\ [/tex]
[tex]x = 2[/tex]
_________________________________
And we're done...
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
A friend of yours was interested in computing a confidence interval for the mean student debt accumulated by NC State graduates during their undergraduate education. They collected a random sample of 40 students, and asked each how much student debt they had; all responded and responded honestly. A histogram of the data indicated it was normally distributed. They computed a 95% confidence interval of ($36,400, $41,650). However, they were unsatisfied with the margin of error, wanting a more precise interval. Referring to their ST 311 notes, they noted that in order to reduce the margin of error by half, they needed to increase their sample size by a factor of 4. So, they collected another random sample of 160 students and found another 95% confidence interval, which was much narrower, having a margin of error of $1,318. They are satisfied with the precision of the confidence interval, but are a little confused : it’s not quite half the original margin of error. Explain why the margin of error wasn’t quite reduced by a factor of 0.5. Be specific.
Answer:
Explained below.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The factors affecting the MOE are:
The sample size (n) is inversely proportional to the MOE, thus increasing n decreases the MOE and vice-versa. Variance (σ²) is the square of S.D. So if we increase σ² then σ increases. Since σ is directly proportional to MOE, increasing σ increases MOE. The confidence level is the value of (1 – α). If we increase the confidence level then the critical value increases and thus MOE also increases.Since the population standard deviation is not provided it is obvious the sample standard deviation is used to estimate the value of σ.
On increasing the value of σ the MOE will also increase.
As the sample size is inversely proportional, increasing the sample size by a factor of 4 will reduce the margin of error by half. But since σ is also increasing there are two factors affecting the MOE together.
Therefore reducing the MOE by more than half the original value.
The points given in the table lie on a line. Find the slope of each line.
Answer:
-2.5
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run between two points. The rise is the difference between the y-values, and the run is the difference between the x-values. For both, the value with the greater x-value comes first as you are seeing how much it has changed from the first value to the the other.
Let's use the first two points to find the slope: (0,9), (2,4)
(2,4) has the greater x-value, so the rise between the points would be -5, as 4 - 9 = -5
The run would be 2, as 2-0 = 2.
Therefore the slope would be: -5/2 = -2.5
Hope this helped!
Pleaseeeeeeee helppp!!!!!! ASAP!!!
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) ∠1≅∠4 :Given
2) The two lines are parallel :Alternate Exterior Angles Converse
3) ∠3≅∠2 :Alternate Interior Angles Are Congruent
Answer:
given: 1=4 prove: 3=2
statement reasons
1=4 given
1=2 vertical angles
3=4 congruent angles
therefore: 3=2
Step-by-step explanation:
What is the total price of 3.2 pounds of apples at 80¢ per pound?
Answer:
$2.56
Step-by-step explanation:
80x3 = 240
80x.2=16
240+12=256
$2.56
A chain of car dealership got a shipment of 9,240 new cars. There are the same number of cars in every color. How many colors could there be?
Answer:
9,420 colors making exactly 1 car of each color exist
Step-by-step explanation:
Since there is no additional information, such as the number of colors we have to assume the maximum. Since there are over 10 million colors that exist and there is at least one car of each color, then there would be a maximum of 9,420 colors making exactly 1 car of each color exist. On the other end of the spectrum would be 2 colors making 4,710 cars of each color.
The number of different possible colors of vehicle can be found using the relation
[tex] \frac{9240}{c} [/tex]
The number of cars shipped = 9240The number of cars belonging to each different color is the sameThe number of different colors possible :
Total number of shipment ÷ Number of cars belonging to each color If the Number of cars belonging to each color = cThe number of different possible colors can be obtained using the expression :
[tex] \frac{9240}{c} [/tex]
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The cost of 5 scarves is $46.25. What is the unit price?
Answer:
$9.25
Step-by-step explanation:
$46.25/5=$9.25
Answer: The unit price is 9.25
Find the circumference of a circle with a diameter of 6 yd. leave your answer in terms of pi.
Answer:
18.85yd I think am not sure
Which of the following is an equivalent form of the compound inequality-33 > -3x - 6 > -6
Answer:
9 < x < 0
Step-by-step explanation:
from 0 to 9 i think
Suppose that a computer chip company has just shipped computer chips to a computer company. Unfortunately, of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) The probability that the first randomly selected chip is defective is . Compute the probability that two randomly selected chips are defective under the assumption of independent events. (a) The probability is nothing. (Round to eight decimal places as needed.)
Answer:
(a) 0.0000245
(b) 0.000025
Step-by-step explanation:
The complete question is:
Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is 50 /10,000 = 0.005. Compute the probability that two randomly selected chips are defective under the assumption of independent events.
Solution:
(a)
In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.
The probability of selecting the first defective chip is:
[tex]P(1D)=\frac{50}{10000}=0.005[/tex]
Now there are 9999 chips left and 49 defective chips among them.
The probability of selecting the second defective chip is:
[tex]P(2D)=\frac{49}{9999}=0.0049[/tex]
Compute the probability that two randomly selected chips are defective using conditional probability as follows:
P (Two defective chips) [tex]=P(1D)\times P(2D)=0.005\times 0.0049=0.0000245[/tex]
Thus, the answer is 0.0000245.
(b)
Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:
The above statement implies that the selection was done with replacement.
The probability is:
P (Two defective chips) [tex]=P(1D)\times P(2D)[/tex]
[tex]=\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025[/tex]
Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.
On August 1, Stacy had a debt of $43 in her checking account. After depositing $75 from her paycheck on August 15, what is her new account balance?
Answer:
32!
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
debt= -43
paycheck= 75
-43 + 75 = 32
write an equation to solve for x your only writing the equation 7x +9 5x +3 will mark brainiest
Answer:
-3
Step-by-step explanation:
7x+9=5x+3
2x+9=3
2x=-6
x=-3
Answer:
equation is 7x +9 = 5x +3x = -3Step-by-step explanation:
7x +9 = 5x +3
combine like terms
7x - 5x = 3 - 9
2x = -6
x = -6/2
x = -3
proof:
7x +9 = 5x +3
7(-3) +9 = 5(-3) +3
-12 = -12 ---- ok