Answer:
The length of each piece is 0.833 ft.
Step-by-step explanation:
Length of board, L = 5 ft 1 inch
loss per cut = 1/5 inch
The board should be cut by 5 times to get the 6 pieces.
The loss in 5 cuts = 5 x 1/5 = 1 inch
So, the length of each piece is
[tex]L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft[/tex]
The length of each piece is 9 13/15 inches.
What is the length of each piece?The first step is to determine the length of the board in inches. In order to do this, feet should be converted to inches.
1 feet = 12 inches
(12 x 5) + 1 = 61 inches
Total losses of the 6 cuts = 1/5 x 6 = 6/5 = 1 1/5 inches
Total length left = 61 inches - 1 1/5 inches = 59 1/5 inches
Length of each board = 59 1/5 ÷ 6
296 / 5 x 1/6 = 296 /30 = 9 26/30 = 9 13/15 inches
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
Find the solutions to the equation below.
Check all that apply.
30x^2 - 28x + 6 = 0
A. X = 4/5
B. X = 1/3
c. X = 1/2
D. X = 1/5
E. X = 3/5
F. X = 2/3
The solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
30x² - 28x + 6 = 0
a = 30, b = -28, and c = 6
Plug the values in the formula:
[tex]\rm x = \dfrac{-(-28) \pm\sqrt{(-28)^2-4(30)(6)}}{2a}[/tex]
After solving:
x = 3/5 or x = 1/3
Thus, the solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.
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Find the reciprocal of 2/5.
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , then
reciprocal of [tex]\frac{2}{5}[/tex] is [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]
What is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4
Answer:
y = 3x - 11
Step-by-step explanation:
Parallel lines have the same slope so the relationship of x and y stays the same only the constant, b, changes
y = 3x + b
plug in point (2, -5) to find "b"
-5 = 3(2) + b
-5 = 6 + b
subtract 6 from both sides
-11 = b
The equation is
y = 3x - 11
Answer:
(2 , -5) are the points
then y =3x-x,let 4 be x
substitute 2&-5 in the line
-5 =3(2)-x
-5=6-x
-x=6 +5
=11
:x =-11
y=3x - (-11)
y =3x+11
Answer for all of them
the answers are in the picture
Need help!! Plz show work
Answer:
19,000
Step-by-step explanation:
because for 1 year its 19,000 just for that year so it would be 19,000
plz help me with this question.
Answer:
0.2m x 0.12m
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Scale of drawing = (10 / 50) x (6/50) = 0.2m x 0.12m
Determinar el valor de las siguientes progresiones:
1)4, 12, 36, 108,…
2)4, 20, 100, 500,…
3)5, 10, 20, 40,…
Answer:
Step-by-step explanation:
1) . .324, 972, 2916
2) ...2500, 12500, 62500
3). . 80, 160, 320
Im super confused please help!!
what is advertising used for? check all that apply
SOMEONE HELP ASAP PLEASE. Answers and links that have nothing to do with the question will be reported.
Answer:
[tex]\frac{1}{15}[/tex]
Step-by-step explanation:
There are 2 yellow marbles, 3 pink marbles, and 5 blue marbles in the bag, for a total of 10 marbles.
Let's start with the probability that the first marble drawn is pink. Since there are 3 pink marbles out of the 10 total marbles, the probability of this happening is [tex]3/10[/tex].
Since the first marble is not put back in the bag, there are now 9 marbles left, 2 of then being pink. The chances of drawing a pink marble now is [tex]2/9[/tex]. To find the chances of both of these events happening, multiply them together to get:
[tex]\frac{3}{10}\cdot \frac{2}{9}=\frac{6}{90}=\boxed{\frac{1}{15}}[/tex]
CAN SOMEONE HELP ME WITH THIS PLEAS AND THANK YOU.
I DO NOT KNOW HOW TO DO THIS ONE WHEN YOU KNOW HOW TO DO IT I WILL DO IT ON MY OWN MABY.
Answer:
2 and 2/6ths
SBSE:
1. multiply the denominators together (in this case, 24)
2. multiply each numerator by the denominators
3. reduce the 5 to four, making 4/24ths into 28/24ths
4. subtract the fractions and whole numbers.
Complete the pattern.
676 + 100
676 + 101 =
676 + 102 =
676 + 103
676 + 100 = 776
676 + 101 = 777
676 + 102 = 778
676 + 103 = 779
Answer:
la primera respuesta es: 776
la segunda respuesta es: 777
la tercera respuesta es: 778
la cuarta respuesta es: 779
Step-by-step explanation:
espero que te ayude con la respuesta y gracias
The area of the given shape above is?
A.20ft2
B.84ft2
C.400ft2
D.40ft2
E.10ft2
Answer:
B. 84 ft²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle Formula: A = lw
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables
l = 14 ft
w = 6 ft
Step 2: Find Area
Substitute in variables [Area of a Rectangle Formula]: A = (14 ft)(6 ft)Multiply: A = 84 ft²What is a Redox reaction? And how does it happen in batteries?
Answer:
Pata nahii!!!!!!!!!!!:)))))
Answer:
Redox is a type of chemical reaction in which the oxidation states of atoms are changed. Redox reactions are characterized by the actual or formal transfer of electrons between chemical species, most often with one species undergoing oxidation while another species undergoes reduction.
Step-by-step explanation:
hope it helps
Find x . Please and thank you
Answer:
x = 6
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]
is x+6 a factor of f(c)=-x^2+6x?
Yes.x+6 is a factor of f(x)=-x^2+6x
Answer:
no
Step-by-step explanation:
f(x) = -x^2 + 6x
The right side has a common factor. It is x.
Factor x out on the right side.
f(x) = x(-x + 6)
When the common factor x is factored out, the remaining factor is -x + 6.
-x + 6 is not equal to x + 6.
Answer: no
Please solve 5 and 6 only
Answer:
5. 80%
6.1.05 kilograms
Step-by-step explanation:
5. Plugging in the values into the formula, we get:
% difference = |60000 - 140000(60000 + 140000)/2| × 100% =
|60000-140000200000 / 2| × 100% =
|-80000100000| × 100% =
80000100000 × 100% =
0.8 × 100% =
80%
If this helps you, please mark brainliest!
Have a nice day!
given the midpoint ( M) and either endpoint of AB , find the other endpoint. B(-10,-7) and M(-2,1)
Answer:
is equal to
(-12)
(-6) this is the endpoint
Find two integers whose sum is -23 and product is 132
Step-by-step explanation:
Let x and y be two integers
x * y = 132
x + y = -23
x= -23 - y
y(-23 - y) = 132
-23y - y^2 = 132
y^2 +23y + 132 = 0
(y + 11) (y + 12) = 0
y = -11 or - 12
If y = -11 then x + (-11) = -23 -> x = -12
If y = -12 then x + (-12) = -23 -> x = -11
So the two integers are -11 and -12
Simplify the expression....
Answer:
−3x^2+2x /x−2
Step-by-step explanation:
4x−9x^3/ 3x^2−4x−4
= −9x^3+4x /3x^2−4x−4
= x(−3x+2)(3x+2) /(3x+2)(x−2)
= −3x^2+2x /x−2
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = x^e
Answer:
It is not exponential because it is f(x)= x-3.141.
Step-by-step explanation:It is a slope-intercept formula. An exponential formula is y=a^x
chadwick contributes 17% of his 68,000 annual salary to his 401(k)plan.What is his pre-tax income?
A spinner is divided into 4 equal portions colored red, blue, green and yellow. If the spinner is spun, find the probability that it lands on Blue or Yellow, Red, Blue AND Yellow, and Green.
Answer:
red and blue
Step-by-step explanation:
trust
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Four less than an unknown value A) b + 4
Quotient of a variable and four B) y − 4
Some number to the power of four C) 4x
Four times an unknown value D) a4
Four more than some number E) z ÷ 4
The two triangles are similar. What is the value of x? Enter your answer in the box. x = Two right triangles, one smaller than the other, back to back, so that their right angles form a straight angle. The two acute angles along the straight angle are congruent to each other. The overlapping part of the legs is labeled 12. The part of the overlapping side that extends above the smaller triangle is labeled 3. The leg of the smaller triangle that is a ray of the straight angle is labeled 3 x plus 1. The leg of the larger angle that is a ray of the straight angle is labeled 4 x.
Answer:
The two triangles are similar.
What is the value of x?
Enter your answer in the box.
x=
The value of x is 7 units.
What is Similarity of Triangles?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
Given :
AD = 6 units , BD = 8 units, m∠ABC = m∠DBE = 90° and
∠DEB ≅ ∠ACB
Now, AB = AD + BD
= 8 + 6 = 14 units
Now, In ΔABC and ΔDBE,
∠DBE = ∠ABC ( Each of 90° )
∠DEB = ∠ACB ( given )
So, By using AA postulate of similarity of triangles , ΔABC ~ ΔDBE
Now, proportion of the corresponding sides will be equal.
AD/ DB= BC/ BE
14/8 = 3x/ 2x-2
4x= 28
x= 7
Hence, the value of x is 7 units.
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Express the linear function in slope intercept form.
Find the missing length indicated
Answer:
x = 240
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )
x² = 144 × 400 = 57600 ( take the square root of both sides )
x = [tex]\sqrt{57600}[/tex] = 240
Plz help me!!!!!!!!! Whoever solves correct will mark brainlist
Answer:
in picture
Step-by-step explanation:
Brainliest please~
A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212. Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y = the number of plain pizzas bought.
Answer:
13x + 11y = 212
Step-by-step explanation:
total cost of purchasing an item = unit cost x total units purchased
total cost of purchasing pepperoni pizza = 13 × x = 13x
total cost of purchasing plain pizza = 11 × y = 11y
total cost of purchasing both items = total cost of purchasing pepperoni pizza + total cost of purchasing plain pizza
- 13x + 11y = 212
Please help I’ll give brainliest
Answer:
Step-by-step explanation:
a). 0.03 (km)³ = 0.03(1000m)³
= 0.03 × 10⁹
= 3 × 10⁷ m³
b). 5.43 cg³ = 5.43(0.01g)³
= 5.43 × (10⁻⁶) g³
c). 6052 mL³ = 6052(10⁻³L)³
= 6052 × 10⁻⁹ L³
= 6.052 × 10⁻⁶ L³
d). 2100 m³ = 2100(10⁻³Km)³
= 2100 × 10⁻⁹ Km³
= 2.1 × 10⁻⁶ Km³