Input data
Width = ?
Lenght = 5/6 ft
Area = 8 sq ft
The area of the rectangle can be written as the following equation
\(A=l\cdot w\)To determine the width the equation will be
\(\begin{gathered} w=\frac{A}{l} \\ w=\frac{8}{\frac{5}{6}} \\ w=\frac{8\cdot6}{5} \\ w=\frac{48}{5} \\ w=9.6 \\ \end{gathered}\)Width would be 9.6 ft.
4.1 A bag contains 6 red, 4 green, 2 yellow and 3 blue balls. In each case, give the ratio (in simplest form) of the asked number of balls in the bag.( 4 ) 4.1.1 The number of red balls to the number of green balls.
The number of red balls to the number of green balls is 3 : 2
How to determine the ratio?The distribution of the balls is given as:
6 red, 4 green, 2 yellow and 3 blue balls
The number of red balls to the number of green balls is represented as:
Ratio = Red : Green
So, we have:
Ratio = 6 : 4
Simplify
Ratio = 3 : 2
Hence, the number of red balls to the number of green balls is 3 : 2
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1840÷26 is there a remainder
Answer:
yes there is a remainder
answer is 70 remainder 20
Answer:
70.77
Step-by-step explanation:
1840 ÷ 26 = 70.77 (aprox)
Find the equation for the circle with a diameter whose endpoints are (-4,4) and (5,3).
well, we know the diameter endpoints, so hmmm the center of the circle will be half-way of the diameter, or namely its midpoint and its radius is half the length of the diameter, let's get both.
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 -4}{2}~~~ ,~~~ \cfrac{ 3 +4}{2} \right) \implies \stackrel{ center }{\left(\cfrac{ 1 }{2}~~~ ,~~~ \cfrac{ 7 }{2} \right)} \\\\[-0.35em] ~\dotfill\)
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - (-4)~~)^2 + (~~3 - 4~~)^2}\implies d=\sqrt{(5 +4)^2 + (3 -4)^2} \\\\\\ d=\sqrt{ (9)^2 + (-1)^2} \implies d=\sqrt{ 81 + 1}\implies d=\sqrt{ 82 }~\hfill~\stackrel{radius}{\cfrac{\sqrt{82}}{2}} \\\\[-0.35em] ~\dotfill\)
\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{\frac{1}{2}}~~,~~\underset{k}{\frac{7}{2}})} \qquad \stackrel{radius}{\underset{r}{\frac{\sqrt{82}}{2}}} \\\\[-0.35em] ~\dotfill\\\\ ( x - \frac{1}{2} )^2 ~ + ~ ( y-\frac{7}{2} )^2~~ = ~~\left( \frac{\sqrt{82}}{2} \right)^2 \implies ( ~ x - \frac{1}{2} ~ )^2 ~~ + ~~ ( ~ y-\frac{7}{2} ~ )^2 = \frac{41}{2}\)
Find the measure of
Answer:
54+46=100
54 is the answer
5x-(x-18)=6-2(x+15) Help!
Answer:
Step-by-step explanation:
5x-(x-18)=6-2(x+15)
5x-x+18=6-2x-30
6x=-42
x=-7
The equivalent value of the expression is x = -7
Given data ,
Let the equation be represented as A
Now , the value of A is
5x - ( x - 18 ) = 6 - 2 ( x + 15 )
On simplifying the equation , we get
5x - ( x - 18 ) = 6 - 2 ( x + 15 )
So , the left hand side of the equation is equated to the right hand side by the value of 6 - 2 ( x + 15 )
Opening the parenthesis on both sides , we get
5x - x + 18 = 6 - 2x - 30
From the distributive property , we get
5x - x + 18 = 6 - 2x - 30
On further simplification , we get
4x + 18 = -2x - 24
Adding 2x on both sides , we get
6x + 18 = -24
Subtracting 18 on both sides , we get
6x = -24 - 18
6x = -42
Divide by 6 on both sides , we get
x = -42/6
x = -7
Therefore , the value of x = -7
Hence , the expression is x = -7
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What is the scale factor to go from small triangle to the large triangle?
What is the value of ?
T
80°
25°
R
?
P
PLEASE
9514 1404 393
Answer:
105°
Step-by-step explanation:
The exterior angle marked "?" is equal to the sum of the remote interior angles:
? = 25° +80°
? = 105°
Norris Company uses the perpetual inventory system and had the following purchases and sales during March.
Using the inventory and sales data above, calculate the value assigned to cost of goods sold in March and to the ending inventory at March 31 using FIFO and LIFO
FIFO
Cost of goods sold: $____
Ending inventory: $____
LIFO
Cost of goods sold: $____
Ending inventory: $____
FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.
To calculate March cost of goods sold we need to add the given data for FIFO =
March cost of goods sold
= (2,800 + 3,700 + 6,550)
= 13,050
To calculate March cost of goods sold we need to add the given data for LIFO =
March cost of goods sold
= (3,400 + 4,400 + 6,800)
= 5,800
Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.
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What is the product?
(3a²b7)(5a³b³)
O 8a5b15
O 8a6b56
O 15a³b¹5
O 15a5b56
Answer:
15a^5 b^10
Step-by-step explanation:
The product is 15a⁵b¹⁰.
What is an exponent?Exponentiation is one of the mathematics operations.
Let mᵃ, where m and a are the real numbers.
And m is multiplied by a times to itself.
So, a is the exponent of m.
When multiplying two terms with the same base, you add the exponents. Therefore:
(3a²b⁷)(5a³b³) = 3 x 5 x a⁵ x b ¹⁰
= 15a⁵b¹⁰.
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Is -3.4 closer to -2 or -4? I need to round it to find the answer, but I don't know which way.
Answer:
-4
Step-by-step explanation:
its closer to -4
4 pounds of bananas cost $6 dollars what is the cost per pound
Answer: The cost per pound for bananas is $1.5 per pound.
Step-by-step explanation:
To get this answer you will divide the cost by the amount of bananas you have.
WILL GIVE BRAINLIEST IF RIGHT
If the diameter of the Ferris wheel is 70 feet across, find the total distance traveled in one revolution.
Answer: Assuming pi is rounded off to 3.14, it is 219.8 feet; if not it is 70π feet
Circumference=one revoloution
Circumference=Diameter times pi
C=Dπ
C=3.14*70
=219.8
219.8 feet
Peyton had a balance of -$21.46 in his bank account according to his
last statement. He immediately deposited $35.50 into his account.
What was Peyton's account balance AFTER he made the deposit?
Answer: $14.04
Step-by-step explanation: -21.46+35.50 = 14.04
What is the answer to this question and how to solve?
Answer:
Line ZL and line LZ.
Step-by-step explanation:
Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.
Brainliest please.
Answer:
Step-by-step explanation
Oh
9. Find the range, mean, median, and mode of the following data set. 5, 17, 21, 21, 7, 13, 1, 3 a. Range 20 Mean 11 Median 10 Mode 21 c. Range 20 Mean 10 Median 10 Mode 21 b. Range 24 Mean 11 Median 10 Mode 21 d. Range 20 Mean 11 Median 21 Mode 21
Given R=1/4 Q^2 solve for Q
9514 1404 393
Answer:
Q = ±2√R
Step-by-step explanation:
Take the square root:
±√R = 1/2Q
Multiply by 2:
Q = ±2√R
Can you please help.
Answer:
1 pound = $3.75
Step-by-step explanation:
3.2 pounds = $12
→ Divide both sides by 3.2 to get 1 pounds worth
1 pound = $3.75
A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the length of each side is 6.5 inches. What is the area of each tile?
Answer:
The length of each side of the tiles is 7.2 in
Step-by-step explanation:
Given:
Height of the tile, h = 3 in
Area of each tile, A = 21.6 in²
Length of each side, a = ?
We know:
A rhombus is a type of quadrilateral whose opposite sides are parallel and equal.Also, the opposite angles of a rhombus are equal and the diagonal intersect each other perpendicularly.
To find the area of a rhombus when the measures of its height and side length are given, use the formula
A = Base X height
21.6 in² = a X 3 in
a = 7.2 in
Therefore, the length of each side of the tiles is 7.2 in
28 is 50% of what number?
Answer:
its 56
Step-by-step explanation
50% × x = 28 or, 50 100
× x = 28
Multiplying both sides by 100 and dividing both sides by 50,
we have x = 28 ×
100
50
x = 56
If you are using a calculator, simply enter 28×100÷50, which will give you the answer.
What is the volume of a box with length
1 m, width 8 m, and depth 6 m?
Answer:
Here is the answer mate. Hope it helps. Please rate my answer and mark as brainlist if you find it helpful.
Answer:
\( = 48 {m}^{3} \)
Step-by-step explanation:
\(volume = l \times w \times b \\ = 1 \times 8 \times 6 \\ = 48 {m}^{3} \)
a chord 7cm long is drawn in a circle of radius 3.7cm. calculate the distance of the chord from the centre of the circle
Answer: To find the distance of a chord from the center of a circle, we need to use the following formula:
Distance from center = sqrt(r^2 - (c/2)^2)
Where r is the radius of the circle and c is the length of the chord.
In this case, the radius of the circle is 3.7cm and the length of the chord is 7cm.
So, substituting these values in the formula, we get:
Distance from center = sqrt(3.7^2 - (7/2)^2)
= sqrt(13.69 - 12.25)
= sqrt(1.44)
= 1.2 cm
Therefore, the distance of the chord from the center of the circle is 1.2 cm.
Step-by-step explanation:
Four blue tiles added to eight blue tiles represents the sum 4+8
Answer:
its true
Step-by-step explanation:
Answer:
Im sorry I don't quite understand but here's but I'm going by:
Step-by-step explanation:
4 blue tiles + 8 blue tiles, represents the sun 4+8. Which equals 12.
sorry if this doesn't help!
Hero is in the bowling club. There are 14 students in the club. Of the 14 students, through will be picked at random to attend an award banquet. What is the probability that hero will not be paid to attend the banquet?
Find the area of the triangle. Round the answer to the nearest tenth. A. 4.4 square units B. 5.2 square units C. 6.8 square units D. 8.8 square units
Answer:
A. 4.4 units²
Step-by-step explanation:
Area of a Triangle: A = 1/2bh
sin∅ = opposite/hypotenuse
cos∅ = adjacent/hypotenuse
Step 1: Draw the altitude down the center of the triangle
- We should get a perpendicular bisector that creates 90° ∠ and JM = KM
- We should also see that we use sin∅ to find the h height of the triangle and that we use cos∅ to find length of JM to find b base of the triangle
Step 2: Find h
sin70° = h/3.7
3.7sin70° = h
h = 3.47686
Step 3: Find b
cos70° = JM/3.7
3.7cos70° = JM
JM = 1.26547
Step 4: Find entire length base JK
JM + KM = JK
JM = KM (Definition of Perpendicular bisector)
2(JM) = JK
2(1.26547) = 2.53095
b = 2.53095
Step 5: Find area
A = 1/2(3.47686)(2.53095)
A = 4.39988
A ≈ 4.4
Solve the system of equations using elimination.
4x + 4y = 28
3x + y = 15
O (1,6)
O (2,5)
O (3, 4)
O (4,3)
Answer: (4, 3)
Step-by-step explanation:
To solve the system of equations using elimination, we can manipulate the equations to eliminate one variable and solve for the other.
Let's start with the given system of equations:
Equation 1: 4x + 4y = 28
Equation 2: 3x + y = 15
To eliminate the y variable, we can multiply Equation 2 by 4 to make the coefficients of y in both equations the same:
4 * (3x + y) = 4 * 15
12x + 4y = 60
Now we have two equations with the same coefficient for y:
Equation 1: 4x + 4y = 28
Equation 3: 12x + 4y = 60
We can subtract Equation 1 from Equation 3 to eliminate the y variable:
Equation 3 - Equation 1:
(12x + 4y) - (4x + 4y) = 60 - 28
12x - 4x = 32
8x = 32
x = 4
Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use Equation 2:
3x + y = 15
3(4) + y = 15
12 + y = 15
y = 15 - 12
y = 3
Therefore, the solution to the system of equations is x = 4 and y = 3. So the answer is (4, 3).
Answer:
(4, 3)
Step-by-step explanation:
i got it right on my quiz
Estimate the slope of the tangent line (rate of change) to f(x) = ² at x = -1 by finding the slopes of
the secant lines through the points:
a. (-2,4) and (0,0)
secant slope, msec=
b. (-1.5, 2.25) and (-0.5, 0.25)
secant slope, msec=
a. The secant slope through (-2,4) and (0,0) is -2.
b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.
The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.
To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.
a. (-2,4) and (0,0):
The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:
msec = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
msec = (0 - 4) / (0 - (-2))
= -4 / 2
= -2
So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.
b. (-1.5, 2.25) and (-0.5, 0.25):
The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:
msec = (0.25 - 2.25) / (-0.5 - (-1.5))
= (-2) / (1)
= -2
So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.
By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.
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If all real numbers satisfy the inequality, select all real numbers. If no real numbers satisfies the inequality, select no solution.
how can you tell if it's all real numbers or if no real numbers.
The solution to the inequality is x >= -2 for inequality 3x-5≥-11
The given inequality is 3x-5≥-11
Three times of x greater than or equal to minus eleven
x is the variable
3x - 5≥ -11:
Adding 5 to both sides, we get:
3x ≥ -6
Dividing both sides by 3, we get:
solution is x≥-2
Therefore, the solution to the inequality is x >= -2.
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you're valuing horn of plenty mining, inc.'s, stock in order to compare its value to its market price. you believe that the company will pay total dividends of $1.45 in 2015 and $1.56 in 2016. you also believe the company's stock price will be $35.80 at the end of 2016. if the appropriate discount rate is 12 percent, what's the value of horn of plenty mining's stock? a. $39.22 b. $38.31 c. $36.87 d. $37.43
Grace and Jackie are both accountants. They each charge their customers an hourly fee for their service, as described below. Grace charges $540 for 18 hours of service. Jackie charges $40 per hour. Who charges more per hour?
Answer:
Jackie
Step-by-step explanation:
Since Grace charges 30 an hour (540 divided by 18 is 30) and Jackie charges 40 and hour, so Jackie would charge more.