Answer:
The error was made in the division step it should have been divided by negative 2
-2(x-6)=8
-2x+12=8
-2x=-4
-x=-2
X=2
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
An employee at a construction company is ordering interior doors for some new houses that are being built. There are 2 one-story houses and 4 two-story houses on the west side of the street, which require a total of 64 doors. On the east side, there are 5 one-story houses and 4 two-story houses, which require a total of 88 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?
Each one-story house has
doors, and each two-story house has
doors.
Answer: This is a system of equations, let's set it up. I set the variable for 1 story houses to x and 2 story houses to y. Here are the two equations:
6x + 2y = 72
5x + 7y = 124.
Now we multiply the equations so that when we add them together one of the variables will be cancelled out. I am going to multiply the top equation by 7 and the bottom equation by -2. This gives us
42x + 14y = 504
-10x -14y = -248
Add the two equations together:
32x = 256
Divide by 32 to get x = 8. The one story houses have 8 doors. We can plug this number into one of the original equations and solve for y now. I'm going to use the first equation.
(6*8) + 2y = 72
Now we solve for y
y = 12 So, the 1 story houses have 8 doors and the 2 story houses have 12 doors.
The value of a school bus reduces from $512000 to $343000 in 3 years. Find the
uniform rate of depreciation per annum (R).
If the graph of f(x) = is translated right 9.5 units and up unit, which function represents the resulting graph? g(x) = – 9.5 g(x) = + 9.5 g(x) = – g(x) = +
Answer:
the answer is d
Step-by-step explanation:
edenuity2020. also I just did it
a rectanguluar parking lot has a length that is 5 yards greater than the width the area of the parking lot is 300 square yards find the length and the width use formula area =length * width the -parking lot width is of yards is? the length is?
Answer:
Required Answer:-Area=300yards^2Let
Breadth =x
length=x+5
As we know that in a rectangle
[tex]{\boxed{\sf Area=lb}}[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf x (x+5)=300[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x=300 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x-300=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+20x-15x-300=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x (x+20)-15 (x+20)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (x+20)(x-15)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x+20=0\:or\:x-15=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=-20 (Impossible)\:or \;x=15 [/tex]
Width=15yardsLength=15+5=20yardsLast week Carlos spent 3 1/2 hours practicing piano. This was 1/3 the amount of time he spent reading. How long did Carlos spend reading last week?
Answer:
3 1/2 = 210 minutes
1/3 * 210 = 70 minutes = 1 hour and 10 minutes
Thank you and please rate me as brainliest as it will help me to level up
On solving the linear equation 3.5 = x/3 , we get that the time Carlos spent on reading last week was x= 10.5 hours
What is an linear equation in one variable?Linear equation is an equation containing one unknown variable with power one and constants.
The standard form of an linear equation in one variable x is :
ax + b = 0 , where a, b are constants
x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting , multiplying or dividing by same number to both sides.
Let Carlos spent x hours reading last week
Given that last week the time that Carlos spent practicing piano for 3 1/2 hours = 7/2 hours = 3.5 hours
Time spent on practicing piano = 1/3 ( time spent on reading)
⇒ 3.5 = (1/3) x
Multiply both sides by 3
⇒ 3.5 ×3 =3×(1/3)x
⇒10.5 = x
Therefore, the time spent by Carlos on reading last week is 10.5 hours.
Also, learn more about linear equation from the link below:
https://brainly.com/question/24145091
#SPJ2
PLEASEEE HELP ITS FOR A GOOD CAUSE !!
Answer:
And what cuase might that be...? Jkjk ofc ill help
Step-by-step explanation:
Amswer is C. im 99 percent sure i did the math and to double check i put it into a site ans it said it was C! Hope this helps! :)
What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?
Complete Question
What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)
A 0.8531
B 0.1468
C 0.9332
D 0.0668
Answer:
The correct option is A
Step-by-step explanation:
Generally from the z table the area under the normal curve to the left corresponding to 1.05 is
[tex]P(Z < 1.05) = 0.8531[/tex]
FIND THE MEASURE OF EACH MISSING ANGLE HURRY DUE AT 10
Find the slope of (5,-5) and (-4,5)
Answer:
Slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]
Step-by-step explanation:
We need to find the slope of points (5,-5) and (-4,5)
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=5, y_1=-5, x_2=-4 \ and \ y=5[/tex]
Putting values in formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}[/tex]
So, slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]
Drag each tile to the correct box. Not all tiles will be used.
Consider the following function.
f(x)=2x+5
Place the steps for finding f -1(x) in the correct order.
I NEED THIS 50 POINTS!!!
Answer:
y = 2x +5
X=2y + 5
X-5 =2y
X-5 / 2 = y
f-1 (x) = x-5/2
Step-by-step explanation:
Answer
This is correct for sure
Step-by-step explanation:
Help!! Please help with this question.
Answer:
The slope seems to be 4.
Step-by-step explanation:
The line seems to be starting at (3,0) and if you use the rule rise/run, it goes up (rises) 4 units and moves over (runs) 1 unit. You then rewrite this as 4/1 and you get 4 as the slope!
Answer:
The slope is 4
My logic:
Slope is delta y over delta x so if you take any 2 points on that graph and get the x and y of each point and find the change of the two x and the two y and put the change in y over the change in x. you get slope. like so= 16/4 or 4
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
96 loaves
Step-by-step explanation:
6 hours is 360 minutes. Divide that by 45 min equals 8. If he can bake 12 every 45 min, then he can bake 8 x 12 loaves in 6 hours or 96 loaves.
Answer:
A, 96 loaves of bread
Step-by-step explanation:
So first off, since the rate is in minutes and not hours, you would first find how many minutes are in 6 hours. 60 minutes per hour multiplied by 6 hours gets you 360 minutes. You would now divide 360 by 45, and that would get you 8. You now have 8 units of 45 minutes, if that makes sense. You would now multiply 8 by 12, and get 96 loaves of bread.
What is the x-intercept when y = 3x - 6 is graphed?
Answer:
(2,0)
Step-by-step explanation:
Answer:
x intercept (2,0) y intercept is(0,-6)
Step-by-step explanation:
solve for x. HELPPP MEEEE PLEASE
Answer:
18
Step-by-step explanation:
Need help, quick, if anyone can, thank you in advance.
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Trust me I even used an algebra calculator.
a gardener uses a grow light to grow vegetables indoors. if m<1 = (8x) and m<2 = (7x-4), what is m<1?
Answer:
64
Step-by-step explanation:
Plz help me answer this, Marked brainlest, Marry and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days. Will Mary or Julie reach her goal first? Explain
Answer:
Julie
Step-by-step explanation:
Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
Answer:
Mary has a rise of 12 and a run of 4. Mary has a slope of 3. Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first. Julie has a rise of 19 and a run of 6. Julie has a slope of 19/6 or 3 and 1/6. Julie will reach her goal first, as she has the greater slope.
Hope this Helps!
If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)
A. M=2, n=2
B. M=-1, n=5
C. M=-2, n=-2
D. M=1, n=3
Answer: C. m = -2; n = -2
have:
x² + 4x + c = (x + m)(x + n)
⇔ x² + 4x + c = x² + (m + n)x + mn
⇒ m + n = 4
mn = c
=> M=-2, n=-2 arent possible
Step-by-step explanation:
solve the following formula for H. r=n/2(b+H)
Answer:
See below.
Step-by-step explanation:
What you wrote means:
[tex] r = \dfrac{n}{2}(b + H) [/tex]
If that is what you meant, then the answer is:
[tex] \dfrac{2r}{n} = b + H [/tex]
[tex] H = \dfrac{2r}{n} - b [/tex]
On the other hand, if this is what you meant:
[tex] r = \dfrac{n}{2(b + H)} [/tex]
then the answer is:
[tex] 2r(b + H) = n [/tex]
[tex] 2rb + 2rH = n [/tex]
[tex] 2rH = n - 2rb [/tex]
[tex] H = \dfrac{n - 2rb}{2r} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{n}{2}(b + H) = r\\\\b +H = r * \frac{2}{n}\\\\b + H = \frac{2r}{n}\\\\H = \frac{2r}{n} - b[/tex]
Does anyone wanna do my homework for me (just math) plz &thx
22. (01.05)
A function is created to represent the amount of money you save or spend each day of the week. What
restrictions would be made to the range? (1 point)
The range would only include integers.
The range would only include positive integers.
The range would only include negative integers.
The range would include all real numbers.
Answer:
Step-by-step explanation:
The range would only include positive integers.
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
Yes.
Step-by-step explanation:
Because.
Answer:
23
Step-by-step explanation:
Plz i need an accurate answer help me plz
Answer:
Plug in the values 1, 2, 3, 4, 5, one at a time into the function (replacing x with the number). Then calculate the result for each. Sum the results and divide it by the number of values (5).
You have a garden row of 20 watermelon plants that produce an average of 30 watermelons apiece. For any additional watermelon plants planted, the output per watermelon plant drops by one watermelon. How many extra watermelon plants should you plant?
Answer: You should plant another 25 watermelons.
Step-by-step explanation:
The total number of watermelons can be calculated as:
W = (20 + x)*(30 - x)
x is the number of plants that we add, for each plant that we add, the output per watermelon plants drops by one watermelon, then if we add x plants, each plant will give (30 - x) watermelons.
We want to maximize this equation, so let's distribute the product.
W = 600 + 30*x + 20*x - x^2
W = 600 + 50*x - x^2
Notice that this is a quadratic equation with a negative leading coefficient, this means that the maximum is at the vertex, and the arms of the equation will open down.
To find the maximum, we can just derive with respect to x, and find the value of x that makes that equal to zero, this is:
W'(x) = dW/dx = 50 - 2*x
W'(x) = 0 = 50 - 2*x
2*x = 50
x = 50/2 = 25.
Then the maximum output will be if you plant 25 more watermelon plants.
And this will be:
W(25) = 600 + 50*25 - 25^2 = 1,225 watermelons
You should plant 5 extra watermelon plants to maximize production.
Since you have a garden row of 20 watermelon plants that produce an average of 30 watermelons a piece, and for any additional watermelon plants planted, the output per watermelon plant drops by one watermelon, to determine how many extra watermelon plants should you plant you must perform the following calculation:
20 x 30 = 600 24 x 26 = 624 25 x 25 = 625 26 x 24 = 624
Therefore, you should plant 5 extra watermelon plants to maximize production.
Learn more in https://brainly.com/question/2173344
ANSWER ASAP PLSSSS PLS PLS
Answer:
x = 14 ; 58° ; 32°
Step-by-step explanation:
What's the actual question??? ... To find "x" or to find the measure of each angle?
(4x + 2)° + (2x + 4)° = 90°
6x + 6 = 90
6x = 84
x = 14
(4(14)+ 2)° = 58°
(2(14) + 4)° = 32°
Find (fog)(x).
f(x) = 6x
g(x) = x + 3
Write your answer as a polynomial in simplest form.
(fog)(x) = ????
Answer:
[tex](fog)(x)=6x+18[/tex]
Step-by-step explanation:
We are given:
f(x)=6x
and g(x)=x+3
We need to find (fog)(x)
(fog)(x) =f(g(x)) i.e we will put value of g(x) into f(x) i.e
[tex](fog)(x)=f(g(x))\\f(g(x))=6(x+3)\\f(g(x))=6x+18[/tex]
So, [tex](fog)(x)=6x+18[/tex]
Frank invested $30,000 at 4% simple interest. How much interest will he earn each year?
Answer:
$1200 interest
Step-by-step explanation:
$30,000 divided by 100 = 300 , 300 multipled by 4 = 1200 , thats how to find what 4% would be
C(5,-5),D(5,3) what is the distance between the points
How do u write 342 hundredths
Answer:
Since 342 hundredths is 342 over one hundred, 342 hundredths as a Fraction is 342/100. If you divide 342 by one hundred you get 342 hundredths as a decimal which is 3.42. To get 342 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 342 percent.
Answer:3.42
Step-by-step explanation:
help me find the equation pls
Answer:
y= 0 x=1
Step-by-step explanation: