Answer:
Pete's: [tex]f(x) = 20x + 60[/tex]
Carla's: [tex]f(x) = 40x + 20[/tex]
Step-by-step explanation:
Let's assume that [tex]x[/tex] is the amount of rooms painted, and [tex]f(x)[/tex]
For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.
They also charge 20$ per room, meaning that we will multiply 20 by [tex]x[/tex], the amount of rooms painted.
This gets us the function [tex]f(x) = 20x + 60[/tex]
For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.
They also charge $40 a room, meaning we will multiply 40 by [tex]x[/tex], the amount of rooms painted.
So the function is [tex]f(x) = 40x + 20[/tex].
Hope this helped!
Is 7.87400787401 a rational or irrational number?
How could you add -13 + 10?
Solve for the roots in simplest
form using the quadratic formula:
4x2 + 5 = 12x
The label on Emma's muffin said that one serving provided 6 grams of fat, which is 10% of the recommended daily amount. What is the total recommended daily amount of fat?
0.6 because 6 divided by 10% is 0.6
Match up each scenario with the equation that models the word problem.
Jeff is 3 years less than Tony's age.
y = x-3
Skate rental charges an additional $3.
y = 3x
Marie buys balloons for a party that
are $3.00 each
y = x + 3
Please helpp
Answer:
Marie is y=3x
Jeff is y=x-3
Skate is y=x+3
Step-by-step explanation:
Answer: y=37
Step-by-step explanation:
3072.9
Plz help! Ive been stuck on this for hours!!!!
Answer:
h[tex]\geq[/tex]8
Step-by-step explanation:
h-(-2)[tex]\geq[/tex]10=h+2[tex]\geq[/tex]10
subtract 2 on both sides to get h[tex]\geq[/tex]8
an adult panda will eat at least 20 pounds of bamboo every day. What an inequality that expresses this situation.
Answer:
is greater than or equal to 20
If f (x) = -2x-3 and g (x) =x^2+5x find g (2) -f(3)
Middle schoolers help!!!!!!!Witch expresion has the same value has the model bellow!
Answer:
Its the second one 4-(-8)
What is 2x+x+7x+4y-2y
Answer:
2x +x +7x +4y -2y= 3x +7x +2y=10x +2y= 2×(5x +y)please answer B and C i will mark u brainiest
Answer:
B: the translation can be represented as (x,y) (x-2,y-2)
C: figure c was translated from quad 2 to quad 4
hope that helps.
Find the proportion of the missing number 7/a = 2/4
Answer:
Step-by-step explanation:
7/a = 2/4
2a = 28
a = 14
En el Número 258.324, el 25 son de miles. ¿Es Verdadero o Falso?¿Por que?
Answer:
Ok amigo, entonces es falso porque los miles son 5 ahora, la parte 25 está en la marca de diez mil más inteligente, por favorStep-by-step explanation:
3. Factor x2 + 5x + 6.
Answer:
( x+3) (x+2)
Step-by-step explanation:
x^2 + 5x + 6.
What two numbers multiply to 6 and add to 5
(3*2) = 6
3+2 = 5
( x+3) (x+2)
Answer:
[tex]\left(x+2\right)\left(x+3\right)[/tex]
Step-by-step explanation:
[tex]x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)[/tex]
Write an equation to describe the relationship between x and y.
Answer:
y = 4.5x
Step-by-step explanation:
Given:
x= 2 ⇒ y=9x=5 ⇒ y=22.5x=8 ⇒ y=36We can see that:
9/2 = 22.5/5 = 36/8 = 4.5Therefore the relationship between x and y is:
y = 4.5xAnswer:
y=4.5x
Step-by-step explanation:
I luv ur profile picture! (:
How to solve
- 2b
-- 5(b-6)
(b + 2) • (b - 1) • (b - 3)
Answer:
-2b
-5b+30
Step-by-step explanation:
-2b
-5×b= -5b
-5×-6= (+)30
cancels out the negative because a negative times a negative is a positive
Write an algebraic expression for each word phrase.
6 less than the quotient when x is divided by 4
twice the quantity y plus 8
the product of 12 and m increased by 7
Answer:
6> X · X ÷ 4²·y+8 - 12m+7
Step-by-step explanation:
Find the width and height of a newer 65" television screen with an aspect
ratio of 16:9.
Answer:
see below
Step-by-step explanation:
65 inches is the diameter of the screen
We have a right triangle for a tv with the side length of 16x and 9x
Using the Pythagorean theorem
a^2 +b^2 = c^2
(16x)^2 + (9x)^2 = 65^2
256x^2+ 81x^2 = 4225
Combine like terms
337x^2 = 4225
Divide each side by 337
x^2 =4225/37
Take the square root of each side
x =65sqrt(337)/337
x =3.54077562
The width is 16 times this
width =56.65240991
height is 9 times this
height = 31.86698058
a plane intersects a sphere 5cm away from the center of the sphere. the cross section is a circle whose diameter is 12 cm. determine the radius of the sphere PLEASE ANSWER
terry earn $35.75 for working for 5 hours. how much did terry earn per hour
Answer:
Step-by-step explanation
Divide 35.75 and 5 and you get 7.15 an hour .
Answer two questions about Equations A and B:
A. 5x=20
B. X=4
1) How can we get Equation B from Equation A?
Choose 1 answer:
Multiply/divide both sides by the same non-zero constant
Multiply/divide both sides by the same variable expression
Add/subtract the same quantity to/from both sides
Add/subtract a quantity to/from only one side
Multiply/divide both sides by the same non-zero constant. Therefore, option A is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, A) 5x=20 and B) x=4.
Here, 5x=20
Divide both sides by the same non-zero constant 5, we get
5x/5 =20/5
x=4
Therefore, option A is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
A basketball concession stand sells soda for $1.50, a bag of popcorn for $.50, and a candy bar for $1.25. At one game, 17 fewer candy bars were sold than bags of popcorn. That same night, the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altogether. If the concession stand made $130 that night, how many of each item were sold?
Answer:
87 I am getting points yayyyy
Is 4.85912 rational number
help w this / asap!
Answer:
The answer should be p >= 7
PLEASE HELP I HAVE 30 POINTS Part A: If (6^2)^x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
Part A: 0
Part B: All real numbers
Step-by-step explanation:
Part A:
We have:
[tex](6^2)^x=1[/tex]
First, let's evaluate the square:
[tex]36^x=1[/tex]
Now, what to the xth power will equal 1?
Remember the fact that anything (except for 0) to the zeroth power is 1.
Therefore, our x is 0:
[tex]36^0=1[/tex]
Part B:
We have:
[tex](6^0)^x=1[/tex]
Like mentioned previously, anything to the zeroth power is 1. Thus:
[tex]1^x=1[/tex]
Now, 1 is a special base because 1 to any (real) power is still going to be 1. For example:
[tex]1^0=1,1^1=1,1^{999},\text{ and } 1^{\pi}=1[/tex]
Therefore, our values of x is all real numbers.
And we're done!
. A basketball coach is interested in measuring a player’s vertical jumping ability. While standing
and reaching up, the player’s hand reaches the 4-in. mark on the scale. When jumping, the player
can reach the 19-in. mark. What is the player’s vertical jumping ability?
Answer:
The player's vertical jump ability is 15 inches
Step-by-step explanation:
The mark on the scale which the player's hand can reach while standing = 4-in which is the standing reach
The mark on the scale the player's hand can reach when jumping = 19-in
Therefore, the player's vertical jumping ability is given as the difference between the height the players hand can reach when jumping and the height which the player's hand can when standing,
Which gives;
The player's vertical jump ability = 19 inches - 4 inches = 15 inches
The player's vertical jump ability = 15 inches.
NEED HELP ASAP PLEASE ON ALL OF THEM !!!!
I need Help plz...!!!!
Answer:
B.21.3 is the correct answer
Step-by-step explanation:
1/2*x+1/4*x=16
x/2+x/4=16
2x+x/4=16
3x/4=16
3x=16*4
3x=64
x=21.3
Hope it is helpful for you
if it is follow me and
mark me as a brainest
Answer:
Answer: Option B.
Step-by-step explanation:
Hey there!!
Let's simply solve it.
Given,
[tex] \frac{1}{2} x + \frac{1}{4} x = 16[/tex]
Now, take LCM.
[tex] \frac{2x + x}{4} = 16[/tex]
Multiply 16 by 4.
[tex]3x = 16 \times 4[/tex]
or, 3x = 64.
Divide 64 by 3.
[tex]x = \frac{64}{3} [/tex]
x= 21.33
Therefore, your answer is option B.
Hope it helps...
A bicyclist travels at a constant speed of 18 miles per hour for a total of 27minutes. Choose the function, the domain and the range according to the situation.
Answer:
domain is (xo ≤ x ≤ 0.45 )
range is (xo ≤ y ≤ 8.1 )
Step-by-step explanation:
given data
constant speed = 18 miles per hour
total time = 27 minutes = 0.45 hour
solution
we consider here Domain number of hours = x and Range distance traveled = y
we apply here distanace formula that is
Distance = speed × time .........................1
put here value
Distance = 18 × 0.45 = 8.1 miles
and no of hours x = 0 to 0.45 hours
so here
So domain is (xo ≤ x ≤ 0.45 )
and
Distance is 0 to 8.1 miles
So range is (xo ≤ y ≤ 8.1 )
What is equivalent to -36 -8
Answer:
B
Step-by-step explanation:
It's not A because the 8 is positive.
It's not C because the 36 is positive.
And it's not D because both numbers are positive.