PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.
• When the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $80.
• When the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $100.
Which ordered pair represents the hourly charges to clean floors and to clean the rest of the house?
A) (2, 12)
B) (4, 24)
C) (12, 2)
D) (24, 4)
Answers
B) (4,24)
This is because you turn one of the equations you make, let's use x+4y=100, and turn it into y=mx+b form. This turns into y=(-x/4) +25 and if you plug in the number 4 as your x you get 24.
Related Questions
If u is <1,5> find ||u||
A.4
B.6
C. Square root 6
D. Square root 26
Answers
u = <1,5> is a vector in the form <a,b> with a = 1 and b = 5.
||u|| = sqrt(a^2+b^2) is the magnitude or length of the vector
||u|| = sqrt(1^2+5^2)
||u| = sqrt(26)
The answer is choice D
Check out the attached image below for a visual.
The length of a rectangle is 2 more than 5 times its width. Find the perimeter of the garden if the perimeter is 160m.
Answers
Take the breadth as x,as its the smallest value--(1)
Length is 2 more than 5 times the breadth--(2)
perimeter=160m
l=2+5x
b=x
Perimeter=2(l+b)
2(2+5x+x)
=2(2+6x)
Opening the brackets
=4+12x
4+12x=160
12x=160-4
x=156/12
=13
Therefore , by substituting the value of x
l=2+5*13=67m
b=13m
Match the reasons with the statements. GIVEN: x2 + 6x + 2x + 12 = 0 TO PROVE: x = -6 or x = -2 1. x2 + 6x + 2x + 12 = 0 Subtraction property of equality 2. x2 + 8x + 12 = 0 Distributive Postulate 3. (x + 6)(x + 2) = 0 Combining like terms 4. x + 6 = 0 or x + 2 = 0 Zero product postulate 5. x = -6 or x = -2
Answers
Given: [tex]x^2 + 6x + 2x + 12 = 0.[/tex]
1. Combining like terms (here terms 6x and 2x both contain x, then we can combine them):
[tex]x^2+(6x+2x)+12=0,\\\\x^2+8x+12=0.[/tex]
2. Distributive postulate:
[tex]x^2+8x+12=(x+6)(x+2).[/tex]
The equation is
[tex](x+6)(x+2)=0.[/tex]
3. Zero product postulate (zero product postulate state that if a product of two factors is equal to zero, then first factor is equal to zero or second factor is equal to zero):
[tex]x+6=0 \text{ or } x+2=0.[/tex]
4. Subtraction property of equality:
a) subtract 6 from the first equation:
[tex]x+6=0\Rightarrow x+6-6=-6, \ x=-6.[/tex]
b) subtract 2 from the second equation:
[tex]x+2=0\Rightarrow x+2-2=-2, \ x=-2.[/tex]
Answer:
1. x2 + 6x + 2x + 12 = 0 1. Given
2. x2 + 8x + 12 = 0 2. Combining like terms
3. (x + 6)(x + 2) = 0 3. Distributive Postulate
4. x + 6 = 0 or x + 2 = 0 4. Zero product postulate
5. x = -6 or x = -2 5 Subtraction property of equality
For a student fundraiser Ronna needs to sell 56 boxes of cookies so far she has sold 13 boxes of lemon cookies to her aunt 14 boxes of chocolate cookies to her mother and three boxes of oatmeal cookies to her neighbor how many more boxes of cookies does Ronna need to sell
Answers
Find the coordinates of the points of intersection of the graphs with coordinate axes:
y = -1.5x + 3
x intercept is (Say the two points)
y intercept is (say the two points)
Answers
Answer: x-=(2,0) y-=(0.3)
Step-by-step explanation:
Im a gangster
Find the equation of the line in slope-intercept form.Slope is 2/3 through (3, 4)
Answers
Answer:
y = (2/3)x + 2
Step-by-step explanation:
Start with the general slope-intercept form y = mx + b. Substitute 3 for x and 4 for y and 2/3 for m, and find the intercept, b:
4 = (2/3)(3) + b, or 2 = b. Then the desired equation is y = (2/3)x + 2.
which of the following options correctly describes the graph below?
Answers
It is a step graph with slope of 2.
Answer: C
Whenever you are unsure, choose a coordinate, plug it into the equation, and see if it makes a true statement.
I choose (1/2, 1) → 1 = [2(1/2)] → 1 = [1] TRUE
I choose (1, 2) → 2 = [2(1)] → 2 = [2] TRUE
find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.
1. (4, 1) slope = 6
2. (6,-3) slope= -5
3. (-8, 2) slope = -1/2
4. (-7,-1) slope = 0
Answers
Answer:
1. [tex]y=6x-23[/tex]
2. [tex]y=-5x+27[/tex]
3. [tex]y=-\frac{1}{2}x-2[/tex]
4. [tex]y=-1[/tex]
Step-by-step explanation:
- The equation of the line is:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
- You have to find the y-intercept [tex]b[/tex], so, you must substitute the given point and the slope into each equation and solve for [tex]b[/tex], and then you must rewrite the equation of the line with the slope and the y-intercept calculated:
1. [tex]1=6(4)+b\\ b=-23\\ y=6x-23[/tex]
2. [tex]-3=-5(6)+b\\ b=27\\ y=-5x+27[/tex]
3. [tex]2=-\frac{1}{2}(-8)+b\\b=-2\\ y=-\frac{1}{2}x-2[/tex]
4. [tex]-1=0(-7)+b\\ b=-1\\ y=0x-1\\ y=-1[/tex]
There are 15 cats ready for new homes at the pet store. There are 5 cages with cats in the store. If each cage has the same number of cats, how many cats are in each cage?
Answers
There are 3 cats in each cage. They way you get this answer is by dividing the total amount of cats (15) by the total amount of cages (5). hope this helps
We find that there are 3 cats in each cage.
To find out how many cats are in each cage, we need to divide the total number of cats by the number of cages. There are 15 cats ready for new homes and 5 cages. If each cage has the same number of cats, we perform the following calculation:
Count the total number of cats: 15 cats.
Count the total number of cages: 5 cages.
Divide the total number of cats by the number of cages: 15 cats / 5 cages = 3 cats per cage.
Therefore, there are 3 cats in each cage.
What is the rule for the nth term, an, when the first 4 terms of the sequence are 4, 16, 64, 256?
A.
an=(‒4)^n ‒ 1
B.
an=4n
C.
an=4^n ‒ 1
D.
an=4^n
Answers
4, 16, 64, 256
4¹, 4², 4³, 4⁴
Do you see the pattern? [tex]a_{n} = 4^{n}[/tex]
Answer: D
Which expression is equivalent to 3 + 4y – y(9 – 2y) + 5?
A. 8 – 7y
B. 2y^2 - 5y + 8
C. -2y^2 - 5y + 8
D. -6y^2 + 27y + 8
Answers
Answer:
C.
Step-by-step explanation:
Because the expression simplified is 2y^3-5y+8, so the answer is C.
Hope this helps! :)
~Angel
Answer:
The expression 3 + 4y – y(9 – 2y) + 5 is equivalent to 2y² -5y + 8 .
Option (B) is correct .
Step-by-step explanation:
As the expression given in the question be
= 3 + 4y – y(9 – 2y) + 5
First open the bracket
= 3 + 4y – 9y +2y² + 5
= 2y² -5y + 8
Therefore the expression 3 + 4y – y(9 – 2y) + 5 is equivalent to 2y² -5y + 8 .
Option (B) is correct .
Evaluate 12x−3y 12x−3y when x=− 1 4 x=−14 and y=3 y=3 .
Answers
The value of the given expression would be = - 177.
How to calculate the given expression?
To evaluate the given expression, the following steps should be taken as follows:
Given:
12x-3y
where
X = -14
y = 3
= 12(-14)-3(3)
= -168-9
= -177
Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest tenth. Need help
Answers
Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.
Explanation:
The given data is 900, 35, 500 and 300.
The number of observation is 4.
Formula of mean is,
[tex]\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]\bar{X}=\frac{900+35+50+300}{4} =433.75[/tex]
The formula of variance is given below,
[tex]\sigma^2=\frac{1}{n}\sum{(X-\bar{X})^2}[/tex]
[tex]\sigma^2=\frac{398668.75}{4}[/tex]
[tex]\sigma^2=99667.19[/tex]
The variance of the data is 99667.19
[tex]\sigma=\sqrt{99667.19}[/tex]
[tex]\sigma=315.7011[/tex]
The standard deviation of the data is 315.7011.
The other information or values of given chart is shown in the attached table.
Answer:
i. mean of the data is 402.5
ii. variance of the data is 77556.25
iii. standard deviation of the data is 278.49
Step-by-step explanation: (x - ⁻x)²
from the chart given to me, the observation are: 45, 340, 400, 825
i. mean is the summation of the observation divided by number of observation. ∈x÷n =( 45 + 340 + 400 + 825)÷ 4 = 402.5
ii. variance is the square of the difference between the observation and mean divided by the number of observation.
variance = (45-402.5)²+(340-402.5)²+(400-402.5)²+(825-402.5)²÷4=77556.5
Choose the correct statement.
-2<-3
5>6
4>-4
0<-6
Answers
Dan weighed his dogs Spot and Rover in March and April, and recorded the weight change for each dog. He recorded a change of 2 1/2 pounds for Spot and -2 3/4 pounds for Rover. He sats Spot's weight changed by a greater amount because 2 1/2 > -2 3/4. Do you agree? Explain.
Answers
4^3 · 4-^6 Simplified
A) 4-3
B) 4-9
C) 4-18
D) 43
Answers
4^3 · 4-^6
= 4^(3 + (-6))
= 4^-3
Answer
A) 4^-3
Which statement best describes the domain of the function represented in the graph?
0 ≤ x ≤ 9 or x is between 0 and 9, inclusive
2 ≤ x ≤ 14 or x is between 2 and 14, inclusive
1 ≤ x ≤ 9 or x is between 1 and 9, inclusive
1 ≤ x ≤ 14 or x is between 1 and 14, inclusive
If you can as well, write an explanation for me thank you!
Answers
domain represents the x-values. the x-values start at 1 and end at 9. 1 is included and 9 is included (otherwise an open dot would be shown).
1 ≤ x ≤ 9
because as you can see on the graph the line starts at X cordinate 1 and ends at 9. so we can say 1<x<9. then we are going to have to add an equall sign because the line includes 1 and 9. so it will be like this---1 ≤ x ≤ 9.
Solve each equation by graphing. Round to the nearest tenth.
-2x²+2= -3x
A) −1, −2
B) 2, −0.5
C) −1, 2
D) 0.5, −3
Answers
B
rearrange into standard form : ax² + bx + c = 0 (a≠ 0)
2x² - 3x - 2 = 0
(x - 2)(2x + 1) = 0 ( equate each factor to zero and solve for x )
x - 2 = 0 ⇒ x = 2
2x + 1 = 0 ⇒ x = - 0.5
How is angle a related to angle d? A) vertical angles B) alternate interior angles C) alternate exterior angles D) corresponding angles
Answers
Answer:
because they are across from each other vertically
Step-by-step explanation:
Determine the numbers of zeros of the polynomial function
g(x) = x^4-x^5
___ zero(s)
Answers
Factor out x^4 for find zeros:
g(x) = x^4 (1-x)
From this, we can see that if x = 0 or 1, it would cause g to result in 0.
So the zeros are 0 and 1.
The polynomial function g(x) = [tex]x^4 - x^5[/tex] has two zeroes, which are x = 0 and x = 1. This result is obtained by setting the polynomial equal to zero and solving for x.
Explanation:The given polynomial function is g(x) = [tex]x^4 - x^5[/tex]. To find the zeroes of the polynomial, this function should equal zero. Thus, we have[tex]x^4 - x^5[/tex] = 0.
We can simplify this function by factoring out the common factor, which is [tex]x^4[/tex]. The function thus becomes [tex]x^4[/tex](1 - x) = 0.
A product equals zero when one (or more) of the factors is zero. So, we need to set each factor to zero and solve for x. Setting [tex]x^4[/tex]= 0, yields x = 0. Setting (1 - x) = 0 results in x = 1.
This process gives two values of x that satisfy the equation [tex]x^4[/tex](1 - x) = 0 and therefore, the polynomial function g(x) has two zeroes, specifically x = 0 and x = 1.
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PLEASE HELP! I HAVE LIMITED TIME, WILL MARK BRAINLIEST!
Answers
The answer is D. U and T
Why hello there
The correct answer to you question will be D. U and T
Important: If my answer did help please mark me as brainliest thank you and have a great day!
What is the product of the ten one-digit numbers
Answers
10×1 = 10
10×2 = 20
10×3 = 30
10×4 = 40
This goes all the way up to 9.
The product of all ten one digits numbers will be 0.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
All the ten one digit numbers are;
⇒ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Now,
The product of all the ten one digit numbers is,
⇒ 0 × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9
⇒ 0
Thus, The product of all ten one digits numbers will be 0.
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Your name is included in a list of 6 names. One name is selected at random. Write the probability, as a decimal, that it is your name.
Answers
Answer:
The probability of my name being chosen is 1/6. As a decimal, that's 0.16666...
Step-by-step explanation:
As a decimal, that's 0.16666...
Solve the inequality.
7x − 9 > 2x + 6
A) x > 3
B) x > 3/5
C) x > −3
D) x > −3/5
Answers
Answer:
Option D. [tex]x> -3/5[/tex]
Step-by-step explanation:
we have
[tex]7x-9 > 2x + 6[/tex]
solve for x
Subtract 2x both sides
[tex]7x-9-2x > 2x+6-2x[/tex]
[tex]5x-9 > 6[/tex]
Adds 9 both sides
[tex]5x-9-9 > 6-9[/tex]
[tex]5x> -3[/tex]
Divide by 5 both sides
[tex]5x/5> -3/5[/tex]
[tex]x> -3/5[/tex]
-5.3 ≥ 6.7 + 4.3 + q
Please help and show work!!
Answers
Simplify both sides of the inequality.
−5.3≥q+11
Flip the equation.
q+11≤−5.3
Subtract 11 from both sides.
q+11−11≤−5.3−11
ANSWER: q≤−16.3
The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and far admission. The price of the fair admission is the same for everyone. Use x to represent the number of tide tickets and y to represent the total cost.
(A) Find the cost of admission to the fair. Explain how you found the cost of admission.
(B) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(C) Explain what the coefficient on x and the constant of your linear equation represent.
Answers
To find the cost of admission to the fair, subtract the cost of the ride tickets from the total spent. The linear equation 2.50x + y = 55.50 can be used to calculate the cost for anyone. The coefficient on x represents the cost per ride ticket, while the constant represents the total amount spent on ride tickets and admission.
Explanation:(A) To find the cost of admission to the fair, we need to subtract the cost of the ride tickets from the total spent. Since Henry bought 15 tickets and spent a total of $55.50, we can use the equation 2.50x + y = 55.50, where x represents the number of ride tickets. Substituting x = 15, we can solve for y to find the cost of admission.
(B) The linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission is 2.50x + y = 55.50, where x represents the number of ride tickets and y represents the cost of admission.
(C) In the linear equation, the coefficient on x (2.50) represents the cost per ride ticket. The constant (55.50) represents the total amount spent on ride tickets and admission.
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Ron made 2/3 of a quart of hot chocolate. Each mug holds 1/3 of a quart. How many mugs will ron be able to fill ?
Answers
pretty sure its 2 mugs
Answer:
2 mugs.
Step-by-step explanation:
We have been given that Ron made [tex]\frac{2}{3}[/tex] of a quart of hot chocolate. Each mug holds [tex]\frac{1}{3}[/tex] of a quart.
To find the number of mugs that can be filled by [tex]\frac{2}{3}[/tex] quart of hot chocolate, we will divide [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{3}[/tex] as:
[tex]\frac{2}{3}\div\frac{1}{3}[/tex]
Now, we will convert the division problem to multiplication problem by flipping the 2nd fraction as:
[tex]\frac{2}{3}\times\frac{3}{1}[/tex]
[tex]\frac{2\times 3}{3\times 1}[/tex]
[tex]\frac{2\times1}{1\times 1}[/tex]
[tex]2[/tex]
Therefore, Ron will be able to fill 2 mugs.
What is 351,875 round to thew nearest hundred thousand
Answers
The answer to what is 351,875 rounded to the nearest hundred thousand is 400,000. I am positive.
Graph the following lines and write the equation in slope-intercept form. Through the point (2,−4) with y-intercept of −2.
HELP!!!!!!!!
Answers
For this case we have that by definition, the equation in the form of slope-intersection is given by:
[tex]y = mx + b[/tex]
Where
m is the slope b is the cut pointSubstituting the given point: [tex](x, y) = (2, -4)[/tex] and the cutoff point [tex]b = -2[/tex] we can find the slope,
We have:
[tex]-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m[/tex]
[tex]m =-\frac{2}{2}\\m = -1[/tex]
Thus, the equation is given by:
[tex]y = -x-2[/tex]
Answer:
[tex]y = -x-2[/tex]
See attached image
If 2 pounds of strawberry cost 4$50 how much would 3 pound cost