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Find the solution set of the inequality
8x - 8 ≤ -72
Answer:
x ≤ -8
Step-by-step explanation:
8x-8 ≤ -72
+8 +8
8x ≤ -64
divide by 8
8x/8 ≤ -64/8
x ≤ -8
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?
The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
The cost price of set of pens = $ 1.80
The profit of pens = sale price of set of pens - cost price of set of pens
= $ 5.25 - $ 1.80
= $ 3.45
Now , the equation will be
Forty percentage of profit = ( 40 / 100 ) x $ 3.45
= $ 1.38
The amount that will go to the school =
Forty percentage of profit + cost price of set of pens
The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80
= $ 3.18
The equation will be ,
Now , the total number of sets of pens sold = 1200
And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200
The total cost price of 1200 sets of pens = $ 1.80 x 1200
= $ 2160
The total profit of 1200 sets of pens = Forty percentage of profit x 1200
= $ 1.38 x 1200
= $ 1656
Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens
The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656
The amount that will go to the school for 1200 sets of pens = $ 3816
Therefore ,
The amount that will go to the school = $ 3816.00
Hence , The amount of money that will go to the school is $ 3816.00
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1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day
Answer:
1152 tons of grains
Step-by-step explanation:
We are told in the above question:
Total number of grains = 1440 tons of grain
On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.
Hence,
The number of grains brought in during the first day = 80% × 1440 tons
= 80/100 × 1440 tons
= 1152 tons of grains
-8-8(6x+1) i can’t solve this
Answer:
Step-by-step explanation:
Answer: -48x-16
Step-by-step explanation:
-8-8(6x+1)
So we are going to let the first -8 stand still for a moment and focus on the "-8(6x+1) part. We will solve this using distributive property.
-8 x 6x = -48x
and
-8 x 1 = -8
This is our new problem -8 -48x -8 .
Lets do like terms. Our like terms are (-8) and (-8). And we know -8 -8 = -16.
Now we'll add that to our (-48x) . I hope you can understand this!
Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2
Answer:
[tex]F(x) = f \circ g[/tex]
[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
Step-by-step explanation:
Given
[tex]F(x) = x + 2[/tex]
Required
Express as
[tex]F(x) = f \circ g(x)[/tex]
In functions:
[tex]f \circ\ g(x) = f(g(x))[/tex]
So, we have:
[tex]f(g(x)) = x + 2[/tex]
g(x) can be set to x and f(x) to x + 2
Hence:
[tex]F(x) = f \circ g[/tex]
When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.
The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x
Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x
Step-by-step explanation:
15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)
When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced
What is a equivalent expression to this expression?c(4a+b)
Answer:
The answer is 4ac+bc u have to multiply
geometry multiple choice question HELPPP!!!??
Answer:
24/30
Step-by-step explanation:
Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven. How much would a taxi ride cost if Tamika is riding for 5 miles? How much would a taxi ride cost that is m miles long?
Answer:
m= 7.50
Step-by-step explanation:
0.75x5=4.00
4.00+3.50=7.50
A taxi ride cost if Tamika is riding for 5 miles will be $7.25.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven.
Let "m" be the miles Tamika is riding along.
Total additional charges = m *0.75
pick up charges = 3.50
So, Total charges Tamika has to pay for m miles = 0.75*m + 3.50
For m = 5 miles
Tamika has to pay for 5 miles = 0.75 * 5 + 3.50
Tamika has to pay for 5 miles = 7.25
Therefore, 7.25$ would a taxi ride cost if Tamika is riding for 5 miles.
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The Value of (441)2 – (440)2 is :
(i) 841 (ii) 1 (iii) 881 (iv) 0
please help and show work
To prove that the triangle is scalene, calculate all the lengths of the sides.
The formula for a line like this is basically pythagorean theorem, which is
[tex]p = \sqrt{ {(y2 - y1)}^{2} + {( x2 - x1})^{2} } [/tex]
(x1, y1) and (x2, y2) are the respective vertexes.
Help me please answer thanks
Algebraic Expression
x + y + 2
Constants | Variable/s/term/s Degree of term
Constants : 1 (the only constant term is 2)
Variables : 2 (x and y)
Terms : 3 ( x, y and 2)
Degree of term : 1
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Answer:Suppose that the equations are:
The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.
N(T) = a0*r^(T)
Also, the number of people that leaves the park as the temperature increases are:
M(T) = a*T + b
So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:
N(T) - M(T) = total change in the park population as the temperature changes = C(T)
C(T) = a0*r^(T) - a*T - b
Step-by-step explanation:
HELP PLEASE DUE TODAY: Write the ratio as a fraction in simplest form.
10 feet to 4 yards
Answer:
imma say 10/4
Step-by-step explanation:sorry if wrong
Answer: 5 feet 2 yards
Step-by-step explanation: Just divide both of the numbers by a number that both of them can go through
1. f(x) = x3 - 3x2 - 8x - 60
Answer:
x = -2
Step-by-step explanation:
hope that helps :)
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Hi! PLS HELP ITS 30 POINTS!! Thanks!
A soda bottle holds 1.5 liters of soda. How many milliliters does the bottle hold?
15 millimeters
150 millimeters
1,500 millimeters
15,000 millimeters
Pls help!
Imma report u if its something off the topic!
Thanks again!
(its not b i tried it and got it wrong!! )
Answer:
1,500 millimeters
Step-by-step explanation:
1 litre = 1000 millilitre.
Try 1,500.
Plzzzzz help!
What is the perimeter of the composite figure?
Answer:
107.5 cm
Step-by-step explanation:
find the length of the missing side of triangle which is 22.5 rounded then add all the sides together
Jay makes $9 an hour plus a 12.5% commission selling jewelry how much does she earn on an 8-hour shift and what she sells $380 worth of jewelry
Answer:
117.6
Step-by-step explanation:
When can we say that a function is continuous?
Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)
Answer:
[tex]p=117[/tex]
Step-by-step explanation:
Given number is [tex]p[/tex].
Two-third of the number = [tex]\frac{2}{3}p[/tex]
One-third of the number = [tex]\frac{p}{3}[/tex]
The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.
[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]
what would be the reminder of 20,000 divided by 24 ?
Answer:
I think 2500..not sure tho
Step-by-step explanation:
Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?
Answer:
Espero que isto ajude!
Step-by-step explanation:
q duplica logo a razão q =2
1 hora = 60 minutos
4 hs * 60 min = 240 minutos ou 240 : 6 = 40 vezes 6 minutos
Nota > 240 minutos tem 40 * 6 minutos
n = 40
a1 = 6 min = 3
a2 = 12 min = 3 * 2 = 6
q3 = 18 min = 6 *2 =12
an = a1 * q^n-1
a40 = 3 * 2^40-1
a40 = 3 * 2^39
a40 = 3 * 5497559 =16492677 >>>>>
help me pls kinda stuck lol
Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
2a+3b=5
b=a-5 help please
Answer:
2a + 3b = 5
b = a - 5
Step-by-step explanation:
2a + 3b = 5
b = a - 5
You can write this another way:
2a + 3(a-5) = 5 ( I added the second formula in the first one )
Now you gotta factor out:
2a + 3a - 15 = 5
Here im gonna do plus 15
2a + 3a = 20 ==> 5a = 20
Now if you divide by 5, you get: a = 4
Now you can fill in the second formula again
b = a - 5 (ill fill this in now)
b = 4 - 5 = -1
So, this makes:
a = 4 , b = -1
Answer:
a = -2
b = -7
Step-by-step explanation:
the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)
to begin, plug in a - 5 for b in the equation 2a + 3b = 5.
2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5
the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.
2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5
since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.
2a + 3a - 15 = 5 ⇒ 5a - 15 = 5
add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.
now your equation is 5a = -10.
divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.
therefore a = -2.
now plug in -2 for a in b = a - 5 in order to solve for b!
b = a - 5 ⇒ b = -2 - 5
subtract -2 - 5.
b = -2 - 5 ⇒ b = -7
therefore b = -7.
your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3
You deposit $100 in a savings account. The account earns 11% simple interest per year.
a. What is the interest earned after 10 years?
The interest earned is $
after 10 years.
b. What is the balance after 10 years?
The balance is $
after 10 years.
Answer:
a. ----> $10b. ----> $110Step-by-step explanation:
principle ( p ) = $100time ( t ) = 10 years rate ( r ) = 11%simple interest = (p × r × t)÷ 100 = ( $100 × 11 × 10 )÷ 100 = 11000 ÷ 100 = $110interest = simple interest - principle interest = $110 - $100 = $10MARK ME AS BRAINLISTPLZ FOLLOW ME
helppppppppppppppppp
Answer:
16.
Step-by-step explanation:
What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.
Here is our equation: 75/100 x 64 = 48.
So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.
So the price of the wedding cake during the sale is 16.
Dado los puntos p1 (-7/2-9/2) y p2 (5/2, 3/2) calcular la representación gráfica, d p1 p2, pto medio de p1 p2, la pendiente (m) de la recta que pasa por medio de ellos. Porfavor ayúdenme la tarea es para el viernes y no entendió
Answer:
Ce clasă ești sa văd daca te pot ajuta
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answer:
$40.55
Step-by-step explanation:
How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation: