Answer:
i-1
Step-by-step explanation:
2i 1−i = 2i(1+i)(1−i)(1+i)=2(i−1)1+i−i+1=2(i−1)2=i−1
The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is cut into 9 equal pieces. What is the area of each piece? What are the possible dimensions of each piece? (Take the dimensions to be whole numbers.)
Answer:
Area of each piece = 104 [tex]cm^{2}[/tex]
Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.
Step-by-step explanation:
Given that:
Dimensions of the rectangular board as:
Length of the board is 10 cm longer than its width.
Width of the board = 26 cm
Length of the board = 26 + 10 = 36 cm
The rectangular board is divided into 9 equal pieces.
To find:
Area of each piece and
the possible dimensions of each piece = ?
Solution:
First of all, let us calculate the area of bigger rectangular board.
Area of a rectangle is given by the following formula:
[tex]Area = Length \times Width[/tex]
Area = 26 [tex]\times[/tex] 36 [tex]cm^2[/tex]
Area of each smaller rectangle = [tex]\frac{26\times 36}{9} = 104\ cm^2[/tex]
To find the possible dimensions, we need to find the factors of 104.
104 = 26 [tex]\times[/tex] 4
104 = 13 [tex]\times[/tex] 8
Therefore, the Possible dimensions are 26 cm by 4 cm
and
13 cm by 8 cm.
Someone please help me I’m really struggling
I will give brainliest
Answer:
SA ≈ 1134 cm²
General Formulas and Concepts:
Math
Pi π = 3.14...Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Radius: r = d/2Surface Area of a Sphere: SA = 4πr²Step-by-step explanation:
Step 1: Define
d = 19 cm
Step 2: Find SA
Substitute [R]: r = 19 cm/2Divide: r = 9.5 cmSubstitute [SAS]: SA = 4π(9.5 cm)²Exponents: SA = 4π(90.25 cm²)Multiply: SA = 361π cm²Multiply: SA = 1134.11 cm²Round: SA ≈ 1134 cm²PLEASE I ONLY HAVE 5 MINS TO FINISH THIS!!!!!!!!!!!
50 !
hope this helps :)
What is the quotient of 2/3 divided by 4 in simples form
Answer:
2/12 is equivalent fraction for 2/3 divided by 4
Step-by-step explanation:
2
3
&
4
2
3
÷
4= ?
step 2 Multiply 2/3 with reciprocal of 4
=2
3
x1
4
=2
12
The Quotient is 1/3.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2/3 divided by 4
As, division is not possible in fraction so we will perform the multiplication
= 2/3 ÷ 4
= 2/3 x 1/4
= 2/6
= 1/3
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Please answer ASAP! A function graphed f(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box.
6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a system of equations and solve to find out the cost for each pound of apples and each pound of oranges.
Answer:cost of each pound of apple= $3
And cost of each pound of orange =$2
Step-by-step explanation:
Step 1
Let cost of apples = x
And cost of Oranges =y
Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as
6 x + 3y= 24----- equation 1
Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as
5x+ 4y= 23----- equation 2
Step 2
6 x + 3y= 24----- equation 1
5x+ 4y= 23----- equation 2
Using substitution method to solve the equation
6 x + 3y= 24
24-6x=3y
y= 24-6x/3 = 8-2x
Y= 8-2x
Substituting the value of y= 8-2x into equation 2
5x+ 4( 8-2x)= 23
5x+ 32 -8x= 23
32-23= 8x-5x
9=3x
x=9/3
x=3
Putting the value of x= 3 in equation 1 and solving to find y
6 x + 3y= 24
6(3) +3y= 24
18+3y=24
3y= 24-18
3y=6
y=6/3= 2
Therefore the cost of each pound of apple= $3
And cost of each pound of orange =$2
1/b+x=3b/2x^2 - 1/x
btw ^2 means square
Answer:
[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]
Step-by-step explanation:
[tex] \frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x} [/tex]
[tex] = > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} } [/tex]
[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]
[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]
[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]
[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]
[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]
[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]
[tex] = > (3b + 4x)(b - x) = 0[/tex]
Hence,
[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]
I need help it’s for math!!!
Answer:
anybody agree that its c
Step-by-step explanation:
Is 5-2y=3x a linear equation
Answer:
Yes
Step-by-step explanation:
The distance between Dallas and San Antonio is on a map is 13.7 inches. If 2 inches = 40 miles, what is the distance, in miles, from Dallas to San Antonio?
Answer:
Distance= 308 miles
Step-by-step explanation:
Giving the following information:
The distance between Dallas and San Antonio is on a map is 13.7 inches.
2 inches = 40 miles
To calculate the distance between Dallas and San Antonio, we will use the following formula:
Distance= (12/2)*40 + 1.7*40
Distance= 308 miles
12/2= first 12 inches
What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
-7
3
0
4
Answer:
-7
Step-by-step explanation:
The y intercept of a line is the y value of the line when the x value = 0
In this case we are given the coordinates (0, -7)
so when x =0 y= -7
Therefore, the y- intercept is -7
Answer:
-7
Step-by-step explanation:
The y intercept of a line is the y value of the line when the x value = 0
In this case we are given the coordinates (0, -7)
so when x =0 y= -7
Therefore, the y- intercept is -7
PLEASE HELP MEEEEE WILL GIVE BRAINLIST IF ANSWERED!!!!! HELPPPPP!!!!!
n + (-5.6) = 6.3
n =
Answer:
n= 11.9
Step-by-step explanation:
2568283838383u2568283838383ui3ei33i
Answer:
[tex] \underline{ \boxed{n = 11.9}}[/tex]
Step-by-step explanation:
[tex]i f \to \: n + (-5.6) = 6.3 \\ n = 6.3 + ( + 5.6) \\ n = 11.9[/tex]
♨Rage♨
An art teacher had 57 grams of blue clay. She combined it with 31 grams of yellow clay to make green clay. She let students use the green clay during the week. At the end of the week, the remaining green clay weighed 18 grams.
Step-by-step explanation:
Amount of green clay at the start = 57g + 31g = 88g.
Amouny of green clay used = 88g - 18g = 70g.
Hence 70g of green clay was used during the week.
Original price:$23.99;markdown 30%
A)$7.20
B)$16.79
C)$31.19
D)$15.80
Thank you!
Answer:
B
Step-by-step explanation:
Multiply the original price by 0.7
23.99 * 0.7 = 16.79
Can anyone help me with this question? Thank you!
Which expression is equal to 6^4? 10
24
4^6
6⋅6⋅6⋅6
Answer:
6⋅6⋅6⋅6
Explanation: The exponent refers to the number of times a number is multiplied by itself. 6^4 represents that 6 is being multiplied 4 times.
[tex]6^{4}[/tex]
Base ⇒ 6
Exponent ⇒ 4
The Medina's went out to eat at Chili's. If there bill was 65.20 and they gave 1p
their server a 15% tip, how much did they leave for a tip? *
Answer:
The Medinas left $9.78 for a tip
Step-by-step explanation:
Percentages
The Medinas went out to eat at Chilli's and the bill was $65.20. They tipped 15% to their server.
This percentage is calculated over the amount of the $65.20 bill, thus the tip was:
15% of 65.20 = 15/100 * $65.20 = $9.78.
The Medinas left $9.78 for a tip
The average number of people who attended football games at a stadium increased from 8,000 people in the year 2005 to 12,500 in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?
56.1% is the average number of people at the games increase from 2005 to 2012
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The average number of people who attended football games at a stadium in 2005 is 8000.
The average number of people who attended football games at a stadium in 2012 is 12500.
The difference from average number of people from 2005 to 2012
12500-8000
Twelve thousand five hundred minus eight thousand
4500
To find the percentage of increase we need to divide change in number by original number
4500/8000
0.561
Now multiply with 100 because it is a hundredth part.
0.561×100=56.1
Hence 56.1% is the average number of people at the games increase from 2005 to 2012
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PLEASE HELP !!!!!!!!!!!!!!! idk if this is correct or not !!!!!!! WILL MARK BRIANLIEST !!!!
Answer: It should have been correct.
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
14.3
Step-by-step explanation:
Remark
Make a rough sketch of the triangle.
Make F the right angle
Make <D = 66
E is the other angle.
Givens
EF = 32
<F = 90
<D = 66
Equation
Tan(D) = EF/FD
Solution
Tan(66) = 32/FD Multiply both sides by FD
FD*Tan(66) = 32
Tan(66) = 2.246
2.246 * FD = 32 Divide by 2.2246
FD = 32/2.246
FD = 14.25
FD = 14.3
Dr. Stevens mixed 10.357 grams of chemical A, 12.062 grams of chemical B, and 7.506 grams of chemical C to make 5 doses of medicine. a. About how much medicine in grams? Estimate the amount of each by rounding to the nearest tenth of a gram before finding the sum. Show your thinking. b. Find the exact amount of medicine mixed by Dr. Stevens. c. What is the difference between the exact amount and the estimated amount of medicine? d. How many grams are in one dose of medicine? Explain your strategy for solving.
Answer:
A. 29.93 grams
B. 29.925 grams
C. 0.005 grams
D. 5.985 grams per dose
Step-by-step explanation:
Chemical A = 10.357 grams
Chemical B = 12.062 grams
Chemical C = 7.506 grams
Number of doses of drugs = 5
A. About how much medicine in grams
Round each chemical to the nearest tenth
Chemical A = 10.36 grams
Chemical B = 12.06 grams
Chemical C = 7.51 grams
Total medicine in grams = chemical A + chemical B + chemical C
= 10.36 + 12.06 + 7.51
= 29.93 grams
B. Find the exact amount of medicine mixed by Dr. Stevens.
Total medicine in grams = chemical A + chemical B + chemical C
= 10.357 + 12.062 + 7.506
= 29.925 grams
C. What is the difference between the exact amount and the estimated amount of medicine
Difference = Estimated amount - Exact amount
= 29.93 grams - 29.925 grams
= 0.005 grams
D. How many grams are in one dose of medicine?
Grams in a dose = exact amount of chemicals / 5 doses
= 29.925 grams / 5
= 5.985 grams per dose
Approximately 5.99 grams per dose
Carmen is 5 1 ··4 years younger than Antoine. Katy is 11 1 ··2 years older than Carmen. To the nearest year, what is the difference in Antoine's age and Katy's age?
Let, age of Carmen, Antoine and Katy is C, A and K.
And it is given that :
[tex]A - C = 5\dfrac{1}{4}[/tex] …1)
[tex]K-C = 11 \dfrac{1}{2}[/tex] ...2)
We need to find the difference in Antoine's age and Katy's age.
Subtracting equation 2) from 1), we get :
[tex]( A - C ) - ( K-C) =5\dfrac{1}{4} - 11\dfrac{1}{2}\\\\A - K = -6\dfrac{1}{4}\\\\K-A = 6\dfrac{1}{4}[/tex]
Therefore, Katy is [tex]6\dfrac{1}{4}[/tex] years older than Antoine.
Graph the equation on the coordinate plane.
y=1/2x
Answer:
hope this helps
Step-by-step explanation:
Solve the equation.
-0.06 m = 7.2
m =
Answer: -120
Hope this helps!!
Answer:
-120
Step-by-step explanation:
Can someone please help me with these? I will give you the brainliest answer and also give extra points! I really need help :(
Answer:
1. No solution
2. Infinite many solutions
3. One solution
4. No solution
5. No solution
6. One solution
7. No solution
8. One solution
9. Infinite many solutions
10. Infinite many solutions
Step-by-step explanation:
PLEASEEEEEE HELPPPPP!
Answer:
2
Step-by-step explanation:
Quick question. Is the term “at least” < with equal sign or > with equal sign?
Answer:
if you mean that it look like this < or this > then its “less than or equal to“ or “greater than or equal to”
I hope this helped!!
OH and have a merry Christma!!!!!
Helppppppppppppppppppp
Answer:
1/8^4
Step-by-step explanation:
when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4
6.4 divided by 208 What is the quotient for the equation above?
Answer:
0.030769
Step-by-step explanation:
Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?
Answer:
Mindy bought 7 pounds of candy.
Step-by-step explanation:
In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex] pounds of candy each).
So now we can find the answer by doing the following.....
[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]