Answer:
1:4
Step-by-step explanation:
Both 14 and 56 are divisible by 14
14/14 =1
56/14 =4
The ratio 14:56 becomes 1:4
A right triangle has legs measuring 18 inches and 26 inches. What is the length of the hypotenuse
31.6 because a^2+b^3=c^2
add 5 to me. Then divide by 7. If you add 12 and then subtract 7, you get 10. What number am I?
30 is the answer :))))
Which equation best models the relationship between x and y
Answer:
y = x + x or y+mx+b
Step-by-step explanation:
The first shows the relation in many different problems. But the second is used more for graphs of proportional value. You can use both in either case. But the y=x+x you would substitute the x with real numbers according to the problem.
The revenue from selling xshirts is r(x) 15x The cost of buying x shirts is c(x) 7x + 20. The profit from selling xshirts is px) x) (x) What is p(x)?
Final answer:
The profit function p(x) for selling x shirts is p(x) = 8x - 20, which is found by subtracting the cost function c(x) from the revenue function r(x).
Explanation:
Profit Function
To find the profit function p(x), we subtract the cost function c(x) from the revenue function r(x). Given that r(x) = 15x and c(x) = 7x + 20, the profit function is calculated as follows:
p(x) = r(x) - c(x)
p(x) = 15x - (7x + 20)
Simplifying the equation, we combine like terms:
p(x) = 15x - 7x - 20
p(x) = 8x - 20
Thus, the profit from selling x shirts is p(x) = 8x - 20.
Put in 39.6 <,> or = 39.61
Answer: 39.6<39.61
Step-by-step explanation: 39.6 is equal to 39.60 and 60 is greater than 1.
Answer:
39.6 is less than 39.61
Step-by-step explanation:
How do I find the median for 77,82,87,85,32,78?
Answer:
80
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle
Arrange the data in ascending order ( smallest to largest )
32, 77, 78, 82, 85, 87
There is no value exactly in the middle, use the average
median = [tex]\frac{78+82}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80
may somebody help me please
Can someone please help.
The answer is b: 15 m, 20m, 25m
rewrite 3 x 6/8 as the product of a unit fraction and a whole number
3×6/8 reduce is 3× 3/4= 3/1×3/4=9/4 or 2 1/4
Final answer:
To rewrite 3 x 6/8 as the product of a unit fraction and a whole number, simplify 6/8 to 3/4, and then express 3/4 in terms of the unit fraction 1/4 multiplied by 9, resulting in the expression 9 x 1/4.
Explanation:
To rewrite 3 x 6/8 as the product of a unit fraction and a whole number, we first look at the fraction 6/8. The fraction can be simplified by dividing both the numerator and the denominator by the common factor which is 2. This gives us the simplified fraction of 3/4. Now, a unit fraction is a fraction where the numerator is 1. To turn 3/4 into a unit fraction, we can multiply it by the whole number 3, because 3 x 3/4 equals 9/4. However, 9/4 is not a unit fraction. Therefore, to represent this expression as a product of a unit fraction and a whole number, we see that each 3/4 in the total of 3 times 3/4 can be expressed as 1 times the whole number 3, making the unit fraction 1/4. The correct expression would then be 9 x 1/4.
7..........:.........
Answer:
option B
4 a^4 /b
Step-by-step explanation:
Given in the question an expression
√(16 a^8 b^-2)
This expression can also be written as
√16 . √a^8 . √b^-2
Now as we know that
√16 = √4² = 4
√a^8 = √(a². a² . a² . a²) = √a².√ a².√ a².√ a² = a . a . a . a = a^4
√b^-2 = √1/b² = √1 ÷ √b² = 1 ÷ b = 1/b
Rearranging them
4 a^4 1/b = 4 a^4/b
Simplified form of √(16 a^8 b^-2) is 4 a^4/b
The simplified form of √(16 a^8 b^-2) is indeed 4a^4/b, which is equivalent to the original expression. therefore, option b. 4a^4/b is correct.
The given expression, √(16 a^8 b^-2), can be simplified as follows:
√(16 a^8 b^-2) = √16 * √(a^8) * √(b^-2)
Breaking it down:
√16 = √(4^2) = 4
√(a^8) = √(a^4 * a^4) = √(a^4) * √(a^4) = a^4 * a^4 = a^8
√(b^-2) = √(1/b^2) = 1/b
Now, rearranging these results:
4 * a^8 * (1/b) = 4a^8/b
So, the simplified form of √(16 a^8 b^-2) is indeed 4a^4/b, which is equivalent to the original expression. This simplified form retains the same meaning as the original expression.
for such more question on simplified form
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What is 7/5 times 7/8?
Answer:
7/5 time 7/8 is exactly: 2 11/40
Step-by-step explanation:
Hello.
First we need to multiply across.
7 x 7 is 49 so that's our top number.
49
---- 5 x 8 is 40 so that would be our bottom number.
?
You would write it [tex]\fbox{49/40}[/tex].
As a mixed number it would be [tex]\fbox{1 9/40}[/tex] Note that it is not 19 if you read it wrong.
4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to the nearest cent?
Final answer:
To find out how much will be in the account after 22 years with an annual interest rate of 8.25%, the compound interest formula [tex]A = P(1 + r/n)^{nt}[/tex] is used, resulting in approximately $21739.63.
Explanation:
To calculate how much money will be in the account after 22 years with an annual interest rate of 8.25%, we will use the compound interest formula:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for, in years.
In this case:
P = $4400
r = 8.25% or 0.0825
n = 1 (since it's compounded annually)
t = 22 years
We plug these values into the compound interest formula:
[tex]A = 4400(1 + 0.0825/1)^{1*22}[/tex]
After calculating:
[tex]A = 4400(1 + 0.0825)^{22}[/tex]
[tex]A = 4400(1.0825)^{22}[/tex]
A comes out to approximately $21739.63, which is the total amount in the account to the nearest cent after 22 years.
Use the graphing method to solve the system of linear equations:
y = -x + 3 and y = x - 1
A) (-1,2)
B) (0,3)
C) (1,0)
D) (2,1)
(AWNSWER GETS 80 POINTS)
Answer:
the asnwer will be 2,1
Step-by-step explanation:
The solution of the equations is (2,1)
What is graphing method?Finding the point of intersection of equations by plotting on the graph paper is called solving by graphing method.
How to solve the given equations?In the attached graph below,
The red line represents the equation y = -x + 3 The blue line represents the equation y = x - 1The point of intersection is clearly visible which is (2,1). This is the solution of the equations.The solution of the equations is (2,1)
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X^2 +x -4=O solve using the Quadratic formula. First what are the valubes of a,b,c?
A=1 B=1 C=-4 , you look at the numbers in order ! X is always going to be a 1.
HELP AND PLZZZ EXPLAIN!
18 + 3 |6 - 25| - 11
WHAT WOULD BE THE AMSWER?
Simplify 6 - 25 to -19
18 + 3| -19 | - 11
Simplify | -19 | to 19
18 + 3 × 19 - 11
Simplify 3 × 19 to 57
18 + 57 - 11
Simplify
= 64
The jacket is on sale for $36 which Is 80% of the original cost. What is the original price of the jacket?
Answer:
45
Step-by-step explanation:
percent x whole = part
80%w = 36
.8w=36
divide .8 by both sides
w=45
what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one
Answer:
[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The general form of an equation of a circle:
[tex]x^2+y^2+Dx+Ey+F=0[/tex]
We have the center (-2, 1). Substitute to the equation in the standard form:
[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]
Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:
[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]
Therefore we have the equation:
[tex](x+2)^2+(y-1)^2=4[/tex]
Convert to the general form.
Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]
Kaleb used the distributive property to write two equivalent expressions. Use w = 5 and w = 10 to determine if the two expressions are equivalent. 12(w – 3) 12w – 36 When w = 5, both expressions have a value of 24. When w = 10, both expressions have a value of . Therefore, the expressions are equivalent.
When w is 5 both expressions have the same value 24.
When w is 10 both expressions have the same value 84.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Substitute w = 5
12 (w - 3)
= 12 (5 - 3)
= 12 x 2
= 24
And,
12w - 36
= 12 x 5 - 36
= 60 - 36
= 24
Now,
Substitute w = 10
12 (w - 3)
= 12 (10 - 3)
= 12 x 7
= 84
And,
12w - 36
= 12 x 10 - 36
= 120 - 36
= 84
Thus,
When w is 5 both expressions have the same value.
When w is 10 both expressions have the same value.
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When [tex]\( w = 10 \),[/tex]both expressions have a value of 84, and the expressions are indeed equivalent.
To determine if the two expressions [tex]\(12(w - 3)\) and \(12w - 36\)[/tex] are equivalent, we can evaluate both expressions for the given values of [tex]\(w\).[/tex]
When [tex]\(w = 5\),[/tex]we substitute [tex]\(5\)[/tex]into both expressions:
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(5 - 3) = 12(2) = 24\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(5) - 36 = 60 - 36 = 24\][/tex]
Both expressions evaluate to [tex]\(24\) when \(w = 5\).[/tex]
Now, let's evaluate both expressions when [tex]\(w = 10\):[/tex]
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(10 - 3) = 12(7) = 84\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(10) - 36 = 120 - 36 = 84\][/tex]
Since the values of both expressions are the same for [tex]\( w = 5 \) and \( w = 10 \),[/tex]we can conclude that the expressions are equivalent.
Plz help me!!!!!!!!!
[tex]\sqrt[3]{x^2y^2} = (x^2y^2)^{\frac 1 3} = x^{\frac 2 3}y ^{\frac 2 3}[/tex]
Answer: [tex]\bold{x^{\frac{2}{3}}y^{\frac{2}{3}}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x^2y^2}=\sqrt[3]{(xy)^2}=(xy)^{\frac{2}{3}}=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]
Emily is making bracelets for herself and 6 of her friends she needs 1/5 of a yard of string to make each bracelet. How much string will Emily need to make all of the bracelets?
10 feet of string to make all the bracelets.
Please help me with this and thank you
6/(1/3)= 18
6(3)=18
the answer would be c
Answer:
option C
18 Flowerpots
Step-by-step explanation:
6 ÷ 1/3
6 × 3/1 = 18/1 = 18
Find the midpoint between −18 and 52.
what is the name of line segment an on the circle below
Answer:
C
Step-by-step explanation:
Let's break down the definitions.
diameter = a line across the circle that crosses the center
radius = a line from the center of the circle to any edge
chord = a line with both endpoints on the edge of the circle
arc = the outside part of the circle
Since this line has both endpoints on the edge of the circle and does not cross the center, the line is a chord.
if a clothing sale marks items 85% off, what is the numerator of the fraction which represents this discount (assume the denominator is 100)?
Answer:
85/100
Step-by-step explanation:
A pitcher of lemonade was 7/8 full. Since then, they have sold 1/2 of a pitcher of lemonade. What fraction of a pitcher do they have left?
Answer:
3/8
Step-by-step explanation:
another way of writing 1/2 is 4/8, so now it should be easy. if you have 7/8 and sell 4/8 that leaves 3/8
Answer: 3/8
Step-by-step explanation:
Is 2.924017738 a rational number
So Not A rational Number
I think :)
Good Luck:)))
Which diagram shows the percent equivalent to 3/5
Answer:
The correct one would be A
Step-by-step explanation:
Because 6/10 is equivalent to 3/5
The answer is the first one, or A.
Examine the linear equation. 8x – y = –6 Choose the slope-intercept form of the equivalent equation:
Step-by-step explanation:
The slope-intercept form can be obtained by solving for y.
8x-y=-6
-8x
-y=-8x-6
divide by negative 1 to turn y positive.
y=8x+6
Answer:
y=8x+6
Step-by-step explanation:
just took the prac. on edge
Which relationship describes angles 1 and 2?
complementary angles
adjacent angles
vertical angles
linear pair
Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line
Answer:
Step-by-step explanation:
1 and 2 are vertical angles
Plz help me!!!!!!!!!!
Answer: [tex]b)\quad \dfrac{4x^6z^4}{9y^4}[/tex]
Step-by-step explanation:
[tex].\quad \dfrac{16x^{4}y^{-3}z^{4}}{36x^{-2}y^{1}z^0}\\\\\\=\dfrac{4(4)\cdot x^{4+2}\cdot y^{-3+3}\cdot z^{4}}{4(9)\cdot x^{-2+2}\cdot y^{1+3}\cdot 1}\\\\\\=\dfrac{4x^6z^4}{9y^4}[/tex]