Final answer:
The width of the rectangular jewelry box is 2 inches and the length is 7 inches. These dimensions satisfy the given relationship between the length and width and the specified perimeter of 18 inches.
Explanation:
To solve the problem of finding the dimensions of a rectangular jewelry box where the length is 3 inches more than twice the width, and the perimeter is 18 inches, let's define the width of the box as w inches. Subsequently, the length will be 2w + 3 inches, as stated by the relation given in the problem. The perimeter of a rectangle is calculated by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. We can set up the equation:
18 = 2(2w + 3) + 2w
Solving the equation for w gives us:
18 = 4w + 6 + 2w
18 = 6w + 6
12 = 6w
w = 2
Now that we have the width, we can find the length:
Length = 2w + 3 = 2(2) + 3 = 7 inches
So, the width of the jewelry box is 2 inches and the length is 7 inches.
Divide 9 by z expression
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The function q(w)=3+5(w−1) represents the number of quarters in a bowl on week w.
What does the value 5 represent in this situation?
Quarters were added to the bowl for 5 weeks.
Five quarters are added to the bowl every week.
There were 5 quarters in the bowl on Week 1.
The value of the quarters in the bowl on Week 1 was $5.
The function p(t) represents the population of a certain town t years after 2010.
p(t)=3476(0.97)^t
What does the value 3476 represent in this situation?
Every year after 2010, the population increases by 3476.
Every year after 2010, the population decreases by 3476.
The population of the town in 2010 is 3476.
The population t years after 2010 is 3476.
Answer:
For number 2:
Step-by-step explanation:
Rewrite 5x(12+7) using distributive property
To rewrite 5x(12+7) using the distributive property, we distribute the 5x to both terms inside the parentheses. The final answer is 95.
Explanation:To rewrite 5x(12+7) using the distributive property, we need to distribute the 5x to both terms inside the parentheses.
First, let's distribute the 5 to the 12:
5 x 12 = 60
Next, let's distribute the 5 to the 7:
5 x 7 = 35
Putting it all together, we have:
5x(12+7) = 5x12 + 5x7 = 60 + 35 = 95
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The correct rewritten expression using the distributive property is [tex]\( 5x \times 12 + 5x \times 7 \).[/tex]
To rewrite the expression 5x(12+7) using the distributive property, one must multiply the term outside the parentheses, 5x , by each term inside the parentheses.
The distributive property states that a(b+c) = ab + ac
Applying this property to the given expression, we have:
[tex]\[ 5x(12+7) = 5x \times 12 + 5x \times 7 \][/tex]
Now, we can simplify the expression by performing the multiplication:
[tex]\[ 5x \times 12 = 60x \][/tex]
[tex]\[ 5x \times 7 = 35x \][/tex]
Combining these results, we get the final simplified expression:
[tex]\[ 60x + 35x = 95x \][/tex]
Therefore, the expression 5x(12+7) simplifies to 95x when the distributive property is applied and the multiplication is carried out.
Solve the system and explain what the results mean according to your scenario.
2x + y = 9
3x + 4y = 26
...?
write 14/5 as a mixed number in simplest terms.
Answer: 2 and 4/5
Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.
[tex]\sqrt[5]{14}[/tex] = 2 with a remainder of 4
Therefore, 14/5 can be written as the mixed number 2 and 4/5.
30 : 48 as a ratio in simplest form
two cassettes and three CDs cost $175 while four cassettes and one cd cost $125. Given that one cassette costs 5x and one cd costs 5y , write two equations in x and y to represent the information.
how do you solve ky-bf=fy/m?
Final answer:
To solve the equation ky - bf = fy/m, you need to isolate the variable y. The steps are to distribute the k, add kf to both sides, and factor out y. The solution is y = (fy/m + kf)/k.
Explanation:
To solve the equation ky - bf = fy/m, we first want to isolate the variable y. Here are the steps:
Distribute the k to both terms in the equation: ky - bf = fy/m becomes ky - kf = fy/m.
Add kf to both sides of the equation: ky - kf + kf = fy/m + kf simplifies to ky = fy/m + kf.
Factor out y on the left side of the equation: y(k) = fy/m + kf becomes y = (fy/m + kf)/k.
So, the solution is y = (fy/m + kf)/k.
The perimeter of a rectangular garden is 368 feet. If the width of the garden is 86 feet, what is its length?
What forms of measurement of length, width, height, and distance are forms of what measurement?
The measurement of length and distance in mathematics, including the SI unit meter, different units, and measurement systems.
Measurement of Length, Width, Height, and Distance
Length is the measurement of the extent along the greatest dimension. The SI unit of length is the meter (m). Units of length include kilometers (km), millimeters, and micrometers.
Distance is a quantity arrived at by measurements with material or optical apparatus. It is commonly measured in meters, kilometers, feet, yards, etc. in various systems of measurement.
Customary and Metric Systems are two different systems used for measuring length and distance.
Find the GCF of the following literal terms.
m^7n^4p^3 and mn^12p^5
What is ��1.95 x 6thanks?
Whick is the shorter distance 9/10 or 10/9
Solve for x.
x/36= 16/24
16
24
36
54
Perform the indicated operation.
5/4 + 7/9
a. 4/9
b.2 and 4/9
c.2 and 1/36
Answer:
c.
Step-by-step explanation:
[tex]\frac{5}{4}+\frac{7}{9} = \frac{5*9+7*4}{4*9} = \frac{45+28}{36} = \frac{73}{36}[/tex]
and [tex]\frac{73}{36}= 2(36) + 1 = 2\frac{1}{36}[/tex]
264 shared in ratio 2:3:1
F(x) = 2x2 – 3x 7 for the input value 2.what is the value of the function when x = 2?
Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-value was 1.75 on the test, what was the student’s score?
z = (x - 500) / 100
1.75 = (x - 500) / 100
175 = x - 500
675 = x
Answer:
A, 675
Step-by-step explanation:
What is the pattern for 43 36 29 22?
Find the unit rate. Round to the nearest tenth. 344 miles in 11 hours
i try and try i still don't get it please anybody could help me please =(
How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards hold?
The sum of negative eighteen and a number is eleven. what is the number? which equation could be used to solve the problem? x - 18 = 11 18 - x = 11 -x 18 = 11 x 18 = 11 user: solve for y. y - 12 = -10 y = 22 y = -22 y = -2 y = 2
What is the value of the x-coordinate of the vertex of the function shown below?
f(x)=(x+4)(x-2)
...?
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What are the factors of 16x^4 ? Select all that apply.
5
16
7
x^3
What is 1/50 as a percent and decimal?
The fraction 1/50 is equivalent to 0.02 as a decimal.
To convert 1/50 to a percent, we multiply the fraction by 100:
= 1/50 x 100
= 2%
Therefore, 1/50 is equivalent to 2% as a percent.
To convert 1/50 to a decimal, we divide the numerator (1) by the denominator (50):
= 1 ÷ 50
= 0.02
Therefore, 1/50 is equivalent to 0.02 as a decimal.
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Which type of transformation does NOT result in a figure that is congruent to the original one?
Answer:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.
Step-by-step explanation:
(6.6x10^4)(7x10^3 sientific notation
The tables shows the total number of customers at a car wash after 1, 2, 3, and 4 days of its grand opening. Which graph could represent the data shown in the table?
Let
[tex] A(1,61) B(2,125) C(3,177) D(4,242) [/tex]
Using a graph tool
see the attached figure N 1
therefore
the answer is the option A
see the attached figure N 2
The correct answer is:
Graph A.
Explanation:
We can eliminate the last two graphs as they decrease; the numbers in this table continually increase.
To determine if it is graph A or graph B, we look at the spacing between the points. In the first graph, there is a steep jump between the first two points. The next two points increase more slowly, and there is another jump between the last two.
In the second graph, there is a slight increase between each pair of points. This does not match the data in the table; the first two points increase from 61 to 125, whereas the next two points go from 125 to 177, which is a smaller increase. This means the correct graph is graph A.
how many inches are in a foot then converted into millimeters
What are composite numbers in 50?