The net decimal equivalent of the series 40/15/30 is 0.357;
Here we assume let X be retail price.
So,
X - 0.40 × X = Y ⇒ first discounted price.
Y - 0.15 × Y = Z ⇒ second discounted price.
Z - 0.30 × Z = T ⇒ total discounted price.
Now
X - 0.40 × X = (1 - 0.40) × X = 0.60 × X = Y
Y - 0.15 × Y = (1 - 0.15) × Y = 0.85 × Y = Z
Z - 0.30 × Z = (1 - 0.30) × Z = 0.70 × Z = T
Also, Z = 0.85 × Y, then 0.70 × Z = 0.70 × 0.85 × Y
And, Y = 0.60 × X, then 0.70 × Z = 0.70 × 0.85 × 0.60 × X
So,
= 0.70 × 0.85 × 0.60 × X
= 0.357X;
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Pls answer porperlly
Answer: I hope this helps.
Step-by-step explanation:
HELP ASAP!!!
Identify the zeros of the function f(x) = x² – 3x.
A.0, -3
B.0,3
C.3,3
D.-3, -3
Answer:
B. 0,3
Step-by-step explanation:
[tex]\texttt{Identify the zeros of the function}:f(x)=x^2-3x[/tex]
The roots are the x values in which where the graph intersects the x-axis. In order to solve, we will need to find the roots by replacing y with 0. In the end, we will solve for x.
= 0,3
76,161,555 rounded to the nearest ten million
Answer:
80,000,000
Step-by-step explanation:
76,161,555 is higher then 75,000,000 so it must round up.
Answer: 80,000,000
Step-by-step explanation:
since it's the ten million place you look at place value behind which is the millions place you see if the number is above or below 5. For this instance, since 6 is larger or above 5 you would round up. So, instead of 76,161,555 it would be 80,000,000
A production assistant must divide a page of text into two columns. If the page is 6 3/4 inches wide, how wide will each column be
The width of each column is 3.375.
According to the statement
We have to find that the width of the each column.
So, For this purpose, we know that the
Width is the the horizontal measurement taken at right angles to the length.
In other words, It is the distance from one side to the other side which measures across a particular shape or object whose lengths are forming right angles with the sides as in the case of a rectangle.
From the given information:
A production assistant must divide a page of text into two columns. If the page is 6 3/4 inches wide.
Then
width of the page = 27/4 inches
And the number column is divided into page = 2
Then
The width of column = width of the page/ column in a page
The width of column = 27/4/ 2
The width of column = 6.75/ 2
The width of column = 3.375.
So, The width of each column is 3.375.
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What does 1/4+2/3 equal
Answer:
[tex]\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\[/tex]
Find the slope of the line that passes through (10,8) and (-5,8). Enter the slope as a whole number, a fraction (a/b), or undefined.
Answer:
y=8
Step-by-step explanation:
x 10 = 23
6+x=-11
x-5 = -5
Answer: Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!
Step-by-step explanation:
Please help show work pamdas
The solution by substitution of values to 4 ) is ( - 8 ) / 14 and 6 ) is - 213 .
4 ) Using substituition
By replacing values of c and d in given equation
( 5 [tex]c^{2}[/tex] - [tex]d^{2}[/tex] + 3 ) / ( 2 c - 4 d )
c = - 1 and d = - 4
( 5 [tex]( - 1 )^{2}[/tex] - [tex]( - 4 )^{2}[/tex] + 3 ) / ( 2 ( - 1 ) - 4 ( - 4 ) )
= ( 5 - 16 + 3 ) / ( - 2 + 16 )
= ( - 8 ) / 14
6 ) Using substituition
By replacing values of x and y in given equation
3 [tex]| x + y |^{2}[/tex] - [tex]( x y )^{2}[/tex]
x = 3 and y = - 5
3 [tex]| 3 + ( - 5 ) |^{2}[/tex] - [tex]( 3 * ( - 5 ) )^{2}[/tex]
( 3 * 4 ) - 225
= - 213
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pls answer I report if wrong
==========================================================
Explanation:
Point L is at the location (-4, 2)
Translate 3 units to the left to arrive at (-7,2)
Then translate 4 units up to get (-7,6) which leads to choice A
---------------
The rule of "translate 3 units left, 4 units up" can be condensed into the notation of [tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+4)[/tex]
Let's apply this rule to point M(1,2)
[tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+4)\\\\(1,2)\to(1-3,2+4)\\\\(1,2)\to(-2,6)\\\\[/tex]
This further confirms what choice A is saying since it mentions M'(-2,6)
I'll let you check the other points in choice A.
please help for brainiest asap!!!
The first mistake in solving the given algebraic expression is; Line 3
How to solve Algebraic Expressions?We are given the algebraic expression as;
6(2y + 6) = 4(9 + 3y)
The first step would be to use distributive property of algebra to expand the bracket to get;
12y + 36 = 36 + 12y
The next step will be to use subtraction property of equality to subtract 36 from both sides to get;
12y = 12y
Now, since the coefficients of the variable is the same on both sides, then it means the equation has no solution and as such the conclusion is that the first mistake is in line 3.
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simplify 14+(-8)+6+4+(-11)
Answer:
5
Step-by-step explanation:
PEMDAS
14-8+6+4-11
14-8=6
6+6=12
12+4=16
16-11=5
ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST and also explain what explicit rule is..
Find two positive numbers whose difference is 7 and whose product is 800.
Answer:
25 and 32
Step-by-step explanation:
32 - 25 = 7
32 x 25 = 800
I need help answering this
Answer:
the Answer is c yo I know it bro
Answer: C
Step-by-step explanation:
x^2 + 6x + 8 = (x + 2 )(x + 4 )
392,153 rounded to the nearest hundred thousand
Answer:
Step-by-step explanation:
400,000
. The sides of a rectangle are (x+1) and (2x +5). If the perimeter is 36m, Find the value of x
80% of the frogs in a pond are spring peepers. If there are 200 frogs in the pond, how many spring peepers are there?
Answer:
160
Step-by-step explanation:
If 80% of the frogs in a pond are spring peppers, and there are 200 frogs in the pond, to find how many spring peppers are in the pond, find 80% of 200.
[tex]\begin{aligned} \sf \implies 80\% \textsf{ of }200 & = \sf 80\% \times 200\\\\& = \sf \dfrac{80}{100} \times 200\\\\& = \sf \dfrac{80}{100} \times \dfrac{200}{1}\\\\& = \sf \dfrac{80 \times 200}{100 \times 1}\\\\& = \sf \dfrac{16000}{100}\\\\& = \sf 160\end{aligned}[/tex]
Therefore, there are 160 spring peppers in the pond.
what is one less than the product of seven and the difference of a number and 2 is 4 times the number?
Answer: 7x -4
Step-by-step explanation:
Alguien me podria ayudar a resolver o explicar como cintestar ests problemas, fue el primer dia de uni y no lo explico bien el maestro porque segun es nuevo.
Could someone help me solve these problems or explain me how to solve them, it was the first day of university and the teacher didn't explain quiet well because supposedly he is new
Las soluciones para los dos primeros ejercicios son:
10² + 6³ - [4*(5 - 2)]² = 172-3² + (-2)⁴ + - 4³ + (-2)⁴ = -41¿Como resolver operaciones combinadas?Vamos a ver la primer operacion, está es:
10² + 6³ - [4*(5 - 2)]²
Primero se resuelve lo que esta adentro del parentesis, en este caso:
5 - 2 = 3
Reemplazamos eso:
10² + 6³ - [4*(3)]²
Luego se resuelve lo que está dentro de los corchets:
4*3 = 12
Reempazamos eso para obtener:
10² + 6³ - [12]²
Ahora podemos resolver los exponentes, recordar que el exponente nos dice cuantas veces debemos multiplicar un número por si mismo, entonces:
10² = 10*10 = 100
6³ = 6*6*6 = 216
[12]² = 12*12 = 144
Reemplazando eso obtenemos:
100 + 216 - 144 = 316 - 144 = 172
Veamos tambien el siguiente problema:
-3² + (-2)⁴ + - 4³ + (-2)⁴
Apliquemos los exponentes, primero tenemos:
-3²
Notar que el exponente se le aplica solamente al 3, no al signo, entonces:
-3² = -(3)² = -3*3 = -9
En cambio, en:
(-2)⁴
El exponente si se le aplica al signo, entonces:
(-2)⁴ = (-2)*(-2)*(-2)*(-2) = 4*4 = 16
Los otros dos terminos dan:
- 4³ = -4*4*4 = -64
(-2)⁴ = 16
Reemplazando eso en la expresión:
-3² + (-2)⁴ + - 4³ + (-2)⁴ = -9 + 16 - 64 + 16 = -41
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Carry out these operations as if they were calculations of experimental results, and express each answer in the correct units and with the correct number of significant figures:
(2 × 103 g + 6.317 g) / (0.063 cm3 − 0.029 cm3) = g/cm3
Answer:
2
Step-by-step explanation:
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A ball is thrown from an initial height of 2 feet with an initial upward velocity of 38 ft/s. The ball's height h (in feet) after / seconds is given by the following.
h=2+38t-16t^2
Find all values off for which the ball's height is 16 feet.
The height of the ball according to the function h(t) is 16 feet after 1.92 seconds and after 0.46 seconds.
A function is defined as a expression containing one or more variables.
Technically speaking, a function is a means of linking a set of inputs to a set of outputs.
The height of the ball at any time t is given by the function:
[tex]h(t)=-16t^2+38t+2[/tex]
Now the required height of the ball(in feet) is 16 feet. We have to find the value of t for which h(t)=16.
Let us substitute the values:
[tex]\implies h(t)=-16t^2+38t+2\\\implies 16=-16t^2+38t+2\\\implies 16t^2-38t+14=0\\\implies 8t^2-19t+7=0[/tex]
This is in the form of a quadratic equation in t.
Solving by using the quadratic formula:
We know that for a quadratic equation [tex]ax^2+bx+c=0[/tex]
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Therefore for the above quadratic equation:
[tex]t=\frac{-(-19)\pm \sqrt{(-19)^2-4(8)(7)}}{2(8)}\\t=\frac{19+\sqrt{137}}{8},t=\frac{19-\sqrt{137}}{8}\\t=1.919...,t=0.455...[/tex]
Therefore the ball reaches the height of 16 feet at times 1.92 seconds and at 0.46 seconds.
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HELP ME OUT PLEASE!!
What does the y-intercept of the graph represent?
O It was 8°F when recording began
O There is a change of 4°F every hour
O There is a change of 2 °F eve every hour
O Maximum temperature is 20°F
Answer:
see explanation
Step-by-step explanation:
the y- intercept 8 occurs when time = 0
that is it was 8° F when recording began at time = 0
How can you round 493 and 917 to the underlined number
The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.
Rounding off number:
1)Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding.
2)Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.
The given numbers are 493 and 917
The rounding-off number of 493 is
⇒493, The last number is 3, need to decrease and round off⇒490
The rounding-off number of 917 is
⇒917, The last numberis 7, need to increase and round off⇒920
Therefore, The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.
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this week Jada bought a 3 1/2 pound of cat food. her cat eats 5/8 of a pound each day. show your work and remember to include units. check your work with multiplication
Answer:
5 days.
Step-by-step explanation:
The food will last her 5 days.
[tex]3\frac{1}{2}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}[/tex]
[tex]=1\frac{5}{8}-\frac{5}{8}-\frac{5}{8}[/tex]
[tex]=1-\frac{5}{8}[/tex][tex]=\frac{3}{8}[/tex]
What is the radius of a circle with a circumference of 64 feet?
10.19 feet is the radius of a circle with a circumference of 64 feet.
A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. Something shaped like or like a circle.
Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.
A curving line makes up the shape of a circle. It is spherical, and every point along the curved line is equally spaced from the center. Due to its two-dimensional nature, this shape is flat.
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Calculate (6.25×109) - (3.44 × 108)
Answer: 309.73
Step-by-step explanation:
0.02,0.2,2,20,200, what is next
Answer:
0.2
Step-by-step explanation:
Answer: 2000
Step-by-step explanation:
The pattern is multiplying by 10. Therefore, 200 x 10= 2000
Alex, Bob and Carl go for a walk every day. If Alex doesn't wear a hat, then Bob wears
a hat. If Bob doesn't wear a hat, then Carl wears a hat. Today Bob is not wearing a hat.
Who is wearing a hat?
Answer:
Carl and Alex are wearing hats.
Step-by-step explanation:
If Bob doesn't isn't wearing a hat, then Carl is, so Carl clearly is wearing a hat.
Now let's look at Alex. If he wasn't wearing a hat, then Bob would be wearing one. (If Alex doesn't wear a hat, then Bob wears
a hat). The logical conclusion is that Alex must be wearing a hat as well.
Is this statement true ?
The price of tuition has quadrupled since my parents went to school that's a 300% increase in price.
Answer:
no
Step-by-step explanation:
quadruple means by 4, so it would be 400%
List 5 questions you would ask if your conducting a parent teacher conference ik its not math but i need help i will mark brainlest