Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.
The explicit rule for the geometric sequence is:
Answer:
nth term = 1000×1.2ⁿ⁻¹
Step-by-step explanation:
The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,
Therefore,
a₄ = 1728 and a₂ = 1200
We have two terms of the GP, therefore, finding r,
r² = 1728 / 1200 = 1.44
r = 1.2
Therefore,
a₁ = a₂r¹⁻²
= 1200r⁻¹ = 1200/r
= 1200 / 1.2 = 1000
Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Learn more about geometric sequence click;
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Nicole swims 6 times as many laps as Evan. What multiplication equation compares the laps Nicole and Evan swim?
Answer:
6E
Step-by-step explanation:
If Evan swims 5 laps (for example) that automatically means that Nicole sawm 6 more laps, so it would be 6 times "E" as in Evan
Hope this helps! :D
what is a - 2b = -10 for b
Answer:
b=5
Step-by-step explanation:
Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5
Sam the jeweler bought 126 beads and 36 strings from a shop. He wants to make a certain
number of necklaces using the same combination of beads and the strings, with no
pieces left over. What is the greatest number of necklaces Sam can make?
Answer:
n numbers, because we can use variables like l and w to represent the unknown length and width. Many expressions have more than one variable in them. The volume of a box without a lid is given by the formula V = 4x(10−x)2, where x is a length in inches and Rochelle has invested $2500 in a jewelry making kit.
Step-by-step explanation:
An item has a listed price of $75 . If the sales tax rate is %9 , how much is the sales tax (in dollars)?
Answer:
$6.75
Step-by-step explanation:
9% of 75 = 6.75
.09 × 75 = 6.75
Find the length of the third side. If necessary, round to the nearest tenth.
15
8.
Answer:
The third side is 17
Step-by-step explanation:
To find the hypotenuse, you square the legs of the right triangle and add the values together, and then take the square root of their sum. [tex]\sqrt{15^{2} + 8^{2} }[/tex] = [tex]\sqrt{225 + 64}[/tex] = [tex]\sqrt{289}[/tex] = 17
Which arithmetic sequence has a common difference of -21?
{1,245; 1,224; 1,203; 1,182; …}
{32, 20, 8, -4, …}
{873, 894, 915, 936, …}
{1,563; 1,587; 1,611; 1,635; …}
WILL GIVE BRAINLIEST!!!!
Answer:
first one
just subtract 21 from each number
Answer:
C - {873, 894, 915, 936, …}
Step-by-step explanation:
Difference means subtraction. So, subtract -21 from the number to get your next value.
1245 - (-21) = 1266 So, A is not the answer
32 - (-21) = 53 So, B is not the answer.
873 - (-21) = 894 So, C is the answer.
1563 - (-21) = 1584 So, D is not the answer.
To double check, subtract -21 from the other numbers too.
873 - (-21) = 894
894 - (-21) = 915
915 - (-21) = 936
and so on...
This matches up with the list of numbers on option C so it it correct.
I hope this helps you Cheers!
18/10 = X/12 Solve x.
Answer:
X = 180/5
Step-by-step explanation:
Hope this helps! :)
Best of luck!
One number is nine more than a second number. Four times the first is 6 less than 2 times the second. Find the numbers.
9514 1404 393
Answer:
-12, -21
Step-by-step explanation:
Let x represent the first number. Then the second is x-9. The other relation is ...
4x = 2(x-9) -6
2x = -24 . . . . . subtract 2x, simplify
x = -12
x-9 = -21
The first number is -12; the second number is -21.
In obtuse triangle ABC, mA = 104 and mC = 32. Find mB.
-6x-(-8)=2
step by step
Equation/Question:
-6x-(-8)=2
Answer/Way I did it:
1. Remove parentheses.
-6x+8=2
2. Subtract 8 from both sides.
-6x=2-8
3. Simplify 2-8 to -6.
-6x=-6
4. Divide both sides by -6.
x=1
-------------
Checking:
Equation/Question:
−6x−(−8)=2
----------------------
1. Let x=1.
−6×1+8=2
2. Simplify -6×1 to −6.
-6+8=2
3. Simplify -6+8 to 2.
2=2
Done by NeighborhoodDealer
simplify 28-(8+3)X(4-2)
Answer:
4
Step-by-step explanation:
hope it helps you in some way
simplify 28-(8+3)X(4-2)
Answer:
The answer is in the picture above:)
Step-by-step explanation:
1st, Add the number (calculate) result is 28-11x×(4-2) And Subtract the number the result is 28-11x×2. 2nd, use the commutative property to reorder the terms the result is 28-2×11x
Hope it helps:)
David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?
Answer:
David share is 36 sweets
Step-by-step explanation:
let Lucy share be x
let David share be y
Lucy has 27 more
x=y+27
total sweet is x+y
y+27 +y= 2y+27
total ratio = 4+7=11
David share=
[tex]y = \frac{4}{11} \times (2y + 27)[/tex]
[tex]11y = 4(2y + 27)[/tex]
[tex]11y = 8y + 108[/tex]
[tex]11 y- 8y = 108[/tex]
[tex]3y = 108[/tex]
y=108/3= 36
50 POINTS TO CORRECT ANSWER otherwise will be reported:
A cart rolls down a hill, traveling 5 inches the first second and accelerating so that during each successive 1-second time interval, it travels 7 inches more than during the previous 1-second interval. The cart takes 30 seconds to reach the bottom of the hill. How far, in inches, does it travel?
a)215
b)360
c)2992
d) 3195
e) 3242
9514 1404 393
Answer:
d) 3195
Step-by-step explanation:
The distances traveled make an arithmetic series, the sum of which is given by ...
Sn = (2·a1 +d(n -1))(n/2)
This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...
S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195
The cart travels 3195 inches.
n - 89 > 171. what inequality below true. 1. n=82. 2. n=105. 3. n=268. 4. n=300. 5. n=312
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Please can someone work out BOTH PLS PLS ! I have only 5 mins till I had it in. 10 point!!!!
Answer:
after 15 it goes like:
72
132
238
153
50?
mean = 132
Step-by-step explanation:
A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
How high off the ground is the top of the monument?
Please help
Answer:
65 meters
Step-by-step explanation:
The height of the monument off the ground = x + 5
Find x using Pythagorean Theorem:
x = √(61² - 11²)
x = √3,600
x = 60 meters
Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters
Answer: 65
Word Problem: A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
Question: How high off the ground is the top of the monument?
RJ's recipe for cupcakes calls for sugar, flour, and milk in the ratio of 3:4:2. If a batch of
cupcakes contains 12 tablespoons of flour, how many tablespoons of sugar does it contain?
A) 9 tablespoons
B) 6 tablespoons
C) 10 tablespoons
D) 15 tablespoons
Write the equation of the line, in slope intercept form, through the following two points.
Answer:
y=[tex]\frac{5}{8}x[/tex]
Step-by-step explanation:
So in this equation you have to do this with the points to get the slope
M= [tex]\frac{y2-y1}{x2-x1}[/tex]
M is the slope so using this eqaution will give you the equation.
PLEASE HELPPP MEE !!
Answer:
that box in the corner of the angle represents 90°
90° is also known as a right angle
Subtract 90° from 37°.
You should come up with 53°.
The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area
of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?
Answer:
Step-by-step explanation:
W = 4L-17
LW = 15
L(4L-17) = 15
4L^2-17L-15= 0
L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4
-3/4 is an extraneous solution
L = 5 cm
W = 4L-17 = 3 cm
Help plz:)))I’ll mark u Brainliest
Answer:
The unknown measures 40
Step-by-step explanation:
Use the proportion that derives from the properties of parallel lines intersected by common transversals:
X/24 = 25/15 and solve for x
x = 25 * 24 / 15
x = 40
Your parents traveled 300 miles and used 15 gallons of gas. How many miles can your parents
run on 1 gallon of gas? *
300 miles
200 miles
40 miles
20 mies
Step-by-step explanation:
20 miles.
what you need to do to find out is:-
just divide them
300÷15
have a good day :)
what is 452÷6 in long division
Answer: 75.333333...
Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.
Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.
Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:
452 = dividend
6 = divisor
Step 1:
Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:
6 ⟌ 4 5 2
Step 2:
The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
6 ⟌ 4 5 2
Step 3:
Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.
0
6 ⟌ 4 5 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
6 ⟌ 4 5 2
- 0
4
Step 5:
Move down the 2nd digit of the dividend (5) like this:
0
6 ⟌ 4 5 2
- 0
4 5
Step 6:
The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:
0 7
6 ⟌ 4 5 2
- 0
4 5
Step 7:
Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:
0 7
6 ⟌ 4 5 2
- 0
4 5
4 2
Step 8:
Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.
0 7
6 ⟌ 4 5 2
- 0
4 5
- 4 2
3
Step 9:
Move down the last digit of the dividend (2) like this:
0 7
6 ⟌ 4 5 2
- 0
4 5
- 4 2
3 2
Step 10:
The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:
0 7 5
6 ⟌ 4 5 2
- 0
4 5
- 4 2
3 2
Step 11:
Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:
0 7 5
6 ⟌ 4 5 2
- 0
4 5
- 4 2
3 2
3 0
Step 12:
Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.
0 7 5
6 ⟌ 4 5 2
- 0
4 5
- 4 2
3 2
- 3 0
2
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 452 divided by 6 calculated using Long Division is:
75
2 Remainder
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y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]1 bag of pretzels cost four dollars. Five bags of pretzels cost $12.00. Which has the lower unit price??
Answer:
The 5 bags of pretzels.
Step-by-step explanation:
Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00
Answer:
The second option
Step-by-step explanation:
In order to find the unit price of each, consider the quotient of amount of money per bag:
Case 1:
$4/ 1 bag
Case2:
$12 / 5 bags = $2.4 / 1 bag
Therefore, the second option is the one with lower unit price.
Please, please, please, please help
Answer:
27
Step-by-step explanation:
X^2- 2x - 54 = 0
I need the answer for this please
x = -6, 8
Find the values of x by factoring, getting
(x - 8)(x + 6) = 0
Answer:
x = -6, 8
Step-by-step explanation:
What transformation is happening?
Answer:
Reflection and Dilation
Step-by-step explanation:
These two make the most sense for this.
Hope it helps and is correct!
two friends are collecting stuffed animals Veronica has 5 more than double the number of stuffed animals as their friend Marissa together they have 32 stuffed animals if M represents the number of stuffed animals Marissa has write an equation to represent the number of Veronica stuffed animals
Answer:
M x 2 + 5 = 32
Step-by-step explanation:
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