Final answer:
To find the dimensions of the rectangle, we used the perimeter formula and set up equations to solve for the width (21 inches) and length (27 inches), given that the length is 6 inches longer than its width and the perimeter is 96 inches.
Explanation:
To solve for the dimensions of the rectangle when the length is 6 inches longer than its width and the perimeter is 96 inches, we need to set up two equations based on the perimeter formula for a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Let w represent the width of the rectangle. Then, the length of the rectangle is w + 6 inches. By substituting these into the perimeter formula, we get:
96 = 2(w + 6) + 2w96 = 2w + 12 + 2w96 = 4w + 1284 = 4ww = 21Now that we know the width is 21 inches, we can find the length by adding 6 inches to the width:
Length = Width + 6 = 21 + 6 = 27 inchesTherefore, the dimensions of the rectangle are 27 inches in length and 21 inches in width.
Final answer:
To find the dimensions of the rectangle, we used the perimeter formula and set up equations to solve for the width (21 inches) and length (27 inches), given that the length is 6 inches longer than its width and the perimeter is 96 inches.
Explanation:
To solve for the dimensions of the rectangle when the length is 6 inches longer than its width and the perimeter is 96 inches, we need to set up two equations based on the perimeter formula for a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Let w represent the width of the rectangle. Then, the length of the rectangle is w + 6 inches. By substituting these into the perimeter formula, we get:
96 = 2(w + 6) + 2w
96 = 2w + 12 + 2w
96 = 4w + 12
84 = 4w
w = 21
Now that we know the width is 21 inches, we can find the length by adding 6 inches to the width:
Length = Width + 6 = 21 + 6 = 27 inches
Therefore, the dimensions of the rectangle are 27 inches in length and 21 inches in width.
Find the pay per hour if you earned $120.67 for 16 hours worked.
Answer:
$7.54 / hour to the nearest cent.
Step-by-step explanation:
This is 120.67 / 16
= $7.54 / hour,
What is -3t+4=19 someone please help thank you
Answer:
t = -5Step-by-step explanation:
[tex]-3t+4=19\qquad\text{subtract 4 from both sides}\\\\-3t+4-4=19-4\\\\-3t=15\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3t}{-3}=\dfrac{15}{-3}\\\\t=-5[/tex]
Answer:
-5
Step-by-step explanation:
19-4= 15
15/-3 = -5
t = -5
Juanita is taking a cross-country bike tour. She plans to bike 3,118 miles in all. If Juanita bikes an average of 41 miles a day, how many days will it take her to finish the tour?
Answer:
76 days
Step-by-step explanation:
3,118 divided by 41 miles
Circle the odd number.
2
6
10
17
Answer:
17
Step-by-step explanation:
17 is the odd number because 17 cannot be split into 2 equal groups. However, 2,6, and 10 can be split into 2 even groups. So therefor, they are even numbers.
1. The numbers below follow a pattern.
0.006 0.06 06 6
Part A
What are the next two numbers in the
pattern
Part B
What is the relationship between the
terms in the pattern?
Answer for Part A:
The next two numbers would be 60 and then 600.
Answer for Part B:
The number is multiplied by 10 to get the next number.
3.249 rounded to nearest tenth
The number 3.249 rounded to nearest tenth is; 3.2
According to the question;
We are required to round off the number 3.249 to nearest tenthAccording to the place value concept in mathematics; the place values after the decimal point in a decimal number are identified from left to right, as tenths, hundredths, thousandths etc.
Evidently, the number which occupies the tenths position in 3.249 is the digit 2.
Consequently, to round the number 3.249 to the nearest tenth; the digit 4 is considered and rounded off to 0 or 1 as the case may be.Since, 4 is less than 5, it is rounded off to 0 and added to the digit, 2 which occupies the tenths position in the number 3.249
Ultimately, the number 3.249 rounded to nearest tenth is 3.2.
Read more:.
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help! i need the answer to this
Answer:
Yes
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x )
Thus
A(1, 1 ) → A'(1, - 1 )
B(1, 4 ) → B'(4, - 1 )
C(3, 4 ) → C'(4, - 3 )
D(6, 1 ) → D'(1, - 6 )
These are the correct coordinates for the diagram A'B'C'D'
A translation (x, y ) → (x + 4, y + 1 )
Add 4 to the x- coordinates and add 1 to the y- coordinates, that is
A'(1, - 1 ) → A''(1 + 4, - 1 + 1 ) → A''(5, 0 )
B'(4, - 1 ) → B''(4 + 4, - 1 + 1 ) → B''(8, 0 )
C'(4, - 3 ) → C''(4 + 4, - 3 + 1 ) → C''(8, - 2 )
D'(1, - 6 ) → D''(1 + 4, - 6 + 1 ) → D''(5, - 5 )
These are the correct coordinates for the diagram A''B''C''D''
Hence the composition of transformations is correct
.83 is 10 times as much as
Answer:
.083
Step-by-step explanation:
just divide by the number it says its times as
in this example divide .83 by 10
Answer:
0.083
Step-by-step explanation:
If you move the decimal once to the right from 0.083 you will get the answer .83
Choose the mixed number that has not been reduced to simplest form.
4 2/5
7 14/18
5 7/12
5 5/6
PLZ HELP!!!!!!!
Hey!
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Answer: 7 14/18 has not been reduced to simplest form.
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Solution: 7 14/18 can be simplified to 7 7/9
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Hope This Helped! Good Luck!
what do I do for 1-117? Help please!
Answer:
Step-by-step explanation:
You give characteristics about the polygons. Then you define then. For example, C is a rectangle because it has 4 right angles, it had 4 sides and corners, and it has two sets of parallel lines. For b, you just organise the polygons into the Venn diagram according to each polygons classification.
3.4 x 10^4 + 7.1 x 10^5
Answer:
744,000
Step-by-step explanation:
3.4 * 10 * 10 * 10 * 10 + 7.1 * 10 * 10 * 10 * 10 *10
3.4 * 10000 + 7.1 * 100000
34000 + 710000
Which of the following is the inverse to the function f(x)= x^2-10
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solve for "y".
[tex]\bf \stackrel{f(x)}{y}=x^2-10\implies \stackrel{switcheroo}{x=y^2-10}\implies x+10=y^2\implies \sqrt{x+10}=\stackrel{f^{-1}(x)}{y}[/tex]
At King’s Super Market, Clay bought 214 pounds of tomatoes for $13.50. Gabriella bought 112 pounds of tomatoes for $6.75 at the local farmer’s market. Who got the better deal?
At King’s Super Market, Clay bought 214 pounds of tomatoes for $13.50. Gabriella bought 112 pounds of tomatoes for $6.75 at the local farmer’s market. Who got the better deal?
Gabriella got the better deal, as she paid slightly less per pound for the tomatoes.
To determine who got the better deal, we need to calculate the price per pound of tomatoes for each person.
For Clay:
Price per pound = Total price / Total pounds
Price per pound = $13.50 / 214 pounds ≈ $0.0631 per pound
For Gabriella:
Price per pound = Total price / Total pounds
Price per pound = $6.75 / 112 pounds ≈ $0.0607 per pound
Comparing the two, we see that Gabriella paid approximately $0.0607 per pound, while Clay paid approximately $0.0631 per pound.
3. Ellen has 3 times as many CD's as Sammy. Together they have 32 CD's. How many does
each person have?
Answer:
8
Step-by-step explanation:
sammy has 8 and ellen has 24 then add sammy's 8
24+8=32
Final answer:
By setting up a system of equations, we find that Sammy has 8 CD's and Ellen has 24 CD's.
Explanation:
The student's question involves solving a system of equations to determine how many CD's each person has.
Let's define Ellen's number of CD's as E, and Sammy's number of CD's as S.
According to the question, Ellen has 3 times as many CD's as Sammy, so we can write this as
E = 3S.
We also know that together they have 32 CD's, which can be written as
E + S = 32.
By substituting the first equation into the second, we get
3S + S = 32
4S = 32.
Dividing both sides by 4 gives us
S = 8.
Therefore, Sammy has 8 CD's.
To find out how many CD's Ellen has, we substitute S back into the first equation:
E = 3 * 8
E = 24.
So Ellen has 24 CD's.
kara borrowed $3650 for one year at an annual interest rate of 16% how much did kara pay in interest show work
Kara will pay $584 in interest for a loan of $3650 at an annual interest rate of 16% after one year, calculated using the simple interest formula I = PRT.
Explanation:To calculate the amount of interest Kara pays on a loan of $3650 at an annual interest rate of 16%, we use the formula for simple interest, which is:
I = PRT
Where:
I is the interestP is the principal amount (the initial amount of the loan)R is the annual interest rate (in decimal form)T is the time the money is borrowed for, in yearsUsing the values given:
P = $3650R = 16% or 0.16 (as a decimal)T = 1 yearWe calculate the interest Kara will pay:
I = 3650 * 0.16 * 1
I = $584
Therefore, Kara will pay $584 in interest after one year.
Find the interest earned on a $30,000 deposit for 6 months at 12% interest.
compounded continuously.
Answer:
3,600
Step-by-step explanation:
First you have to know that 12% is the same as .12 Since you have 12%interest you would multiply 30,000 × .12 When you do you get 3,600. This is your interest. You could also do it another way. You could take 30,000 and divide it by the 6 months. You get 5,000. Now you would take this number and multiply it by .12(the 12%) and get 600. This is interest per month. Since you have 6 months you multiply 600×6. You end up with 3,600.
Fred deposited $1,000 into an account that earns 2 percent, compounded annually. How much money will he have in 5 years?
A.
$1000
B.
$1100
C.
$1552
D.
$1291
E.
$1105
Please answer this correctly
Answer:
ok honestly that wus super confusing, but i think its a trick question so the answer is 0
Step-by-step explanation:
Find two consecutive even integers whose sum is 126. write an equation.
Answer: Ist integer = 32
2nd integer = 34
Step-by-step explanation: SEE THE ATTACHED
15+9=?(5+3) what number is missing from the expression?
Answer:
3
15+9=24
24/8=3
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?
(A) No, because they are not similar triangles
(B) No, because one is larger than the other
(C) Yes, because they are both right triangles
(D) Yes, because they are similar triangles
Answer:
Consider two right triangles: 1. ΔABC with vertices A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (vertical leg), AC=6 units (horizontal leg).2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).The equation of the line BC is Check whether points Y and Z lie on this line:Y(6,0): - true;Z(36,-10): - true.Answer: the hypotenuses of these two triangles could lie along the same line
The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line
Answer:
○ C. y - 10 = 2(x - 3)
Step-by-step explanation:
According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful and recall that your rate of change [slope] is POSITIVE, according to what you see on the graph.
I am joyous to assist you anytime.
A scuba diver dives down 20 feet into the ocean. He then swims 11 feet back up towards the surface. What is the position of the scuba diver relative to the surface?
The position of the diver relative to the surface is -9 feets
Using the parameters given for our Calculation;
downward distance = 20Upward distance= 11Difference in distance
20 - 11 = 9Since, we are expressing position relative to the surface , The diver is 9 feets below the surface , which would be expressed as -9 feets.
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How is 0.004 the same as and different from 0.444?
Answer:both are in thousandths place,in the thousandths place both have 4 as a value
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given : 0.004 and 0.444.
To find : How is 0.004 the same as and different from 0.444.
Solution : We have given 0.004 and 0.444.
In 0.004
We can see tenth place digit is 0.
Hundredth place digit is 0
Thousandth place digit is 0.
In 0.444.
We can see here tenth place is 4
Hundredth place digit is 4
Thousandth place digit is 4.
We can conclude that 0.444 is greater than 0.004.
Therefore, 0.444 is greater than 0.004.
You need to count all of the loaves of bread in the front area there are 22 loaves of white bread 17 loaves of wheat bread and 19 Gourmet breads what is the total number of loaves
Answer:
58 loaves
Step-by-step explanation:
22+17+19= 58
which number is greater or equal or less than
What is the value of 5 to the power of 4 over 5 to the power of 6?
1 over 25
1 over 5
5
25
5^4÷ 5^6=5^-2
1 over 25
Answer:
the answer is 1 over 25
Step-by-step explanation:
i hope this helps
five increased by the product of seven and a number is eight
in number form pleaseee
Answer:
5+(8×7)
Step-by-step explanation:
increased means plus, product means multiple so 5 increased by the product of 8 and 7 so it would be 5 plus 7 time 8
Answer:
5 + 7x = 8
Step-by-step explanation:
" a number" refers to a variable. In this case 5 increased is 5 + and the product of 7 and a number is 7x or 7 times x. Then tale that whole equation and set it equal to 8.
What is the value of x?
Plssss help me :(
Answer:I believe it’s 40 degrees
Step-by-step explanation:
70
-30
=
40
How would I convert 35 cm/sec to m/min?
Answer:
21meter
Step-by-step explanation:
because 1 min equal 60min and 1meter equal 100cm