Answer:
y=2.5x+3650
Step-by-step explanation:
since you don't know the amount of units sold you make that x
you do know that the company has to pay a set amount each month for utilities and salaries. 350+3300
put this together, and you get the equation:
y=2.5x+3650
y=total expenses
2.5= price per unit
x= total units sold
3650=amount payed each month for utilities, and salaries
A 7-foot by 3-foot doorway is cut into the 23 by 22 foot trapezoid wall. What is the area of the wall without the door way?
Answer:
Area of the wall without the doorway = 67.5 - 21 = 46.5 [tex]feet^{2}[/tex]
Step-by-step explanation:
i) let length of smaller side of trapezoidal wall, a = 22 feet
ii) let length of longer side of trapezoidal wall, b = 23 feet
iii) height of trapezoidal wall, h = 3 feet
iv) area of trapezoidal wall = [tex](\frac{a + b}{2} )\times h[/tex] = [tex](\frac{22 + 23}{2} )\times 3[/tex] = 22.5 [tex]\times[/tex] 3 = 67.5 [tex]feet^{2}[/tex]
v) area of door = 7 [tex]\times[/tex] 3 = 21 [tex]feet^{2}[/tex]
vi) Area of the wall without the doorway = 67.5 - 21 = 46.5 [tex]feet^{2}[/tex]
Which equation represent a line that is parallel to the y-axis and passes through the point (4,3)?
Answer:
x = 4 OR 1x + 0y = 4
Step-by-step explanation:
so if it is a line parallel to the y axis, it is a vertical line. A vertical line has an undefined slope, so it cant be written in y = mx + b form.
ur equation would be : x = 4....because no matter what y is, x will always be 4.
but if u need it in standard form Ax + By = C it is :
1x + 0y = 4
The equation representing a line that is parallel to the y-axis and passes through the point (4,3) is x = 4.
Explanation:The question is asking for an equation of a line that is parallel to the y-axis and goes through the point (4,3). In a coordinate system, a line parallel to the y-axis is a vertical line. The equation for a vertical line in the coordinate plane is of the form x = c, where 'c' is the x-coordinate of any point the line passes through. In this case, since the line passes through the point (4,3), the x-coordinate is 4. Therefore, the equation of the line parallel to the y-axis that passes through (4,3) is x = 4.
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A farm raised a total of 220
Chickens and pigs. The number of legs of the stock are 520. How many chickens and pigs are at the farm?
Answer:
180 chickens and 40 pigs
Step-by-step explanation:
We are given;
Total number of chickens and pigs as 220 Number of legs of chickens and pigs are 520We are required to determine the number of chickens and pigs in the farm;
To answer the question we need to know the following;
1 chicken has two legs 1 pig has four legsAssuming the number of chickens is x and the number of pigs is y
Then we can form two equations;
x + y = 220 ............for the total number of stock 2x + 4 y = 520 ...... for the total number of legsWe can solve the two equations simultaneously to find the number of chickens and pigs;
x + y = 220
2x + 4y = 520
Multiplying the first equation by 2, we get
2x + 2y = 440
2x + 4y = 520
Eliminating x, we get;
- 2y = -80
y = 40
Solving for x;
x = 220 - y
= 220 - 40
x = 180
Therefore, there are 180 chickens and 40 pigs at the farm
On the farm, rather than use money, they exchange animals. The exchanges are as follows: 4 bunnies = 3 chickens, 5 chickens = 2 pigs, 3 pigs = 2 donkeys. How many bunnies would you have to trade for a donkey?
We have to trade 5 bunnies for a donkey.
Solution:
To calculate how many bunnies could be exchanged for a donkey, we have to multiply the exchange rates of each animal/bird.
One bunny = 3/4 chickens (0.75 chicken),
One chicken = 2/5 pigs (0.4 pigs)
One pig = 2/3 donkeys (0.67 donkeys).
On multiplying all of the above rates we get,
0.75*0.4*0.67=0.2
Since we now know a bunnies worth is 0.2 donkey
Therefore, (1/0.2=5) 5 bunnies to trade for a donkey.
find the area a polygon
The cake store is having a 25% off sale on all of its cakes.
If the cake you want regularly costs dollar sign $9, how much would you save with the discount?
Answer:
The Discount would save $2.25 of the final purchase.
Step-by-step explanation:
If the cake originally costs $9, 25% of that would be $2.25 off the final purchase. So the discount would save $2.25
Answer:
With the discount, you are saving $2.25 on the cake that you want.
can you help me with 4 and 6 only? thank you
If I worked 208 hrs out of 409 what percentage would that be?
Step-by-step explanation:
(208/409)*100%
50.85%
Please help with question 1
Answer:
The volume of Solid A is 120 cm³.
Step-by-step explanation:
Given the area of the solids are in the ratio: 4 : 9
Let their actual areas be 4x² and 9x². We have assumed the common ratio as x² for easier computation.
We have area: [tex]$ A_A : A_B = $[/tex] 4x² : 9x²
This implies, the length should have been of the ratio of the square root of these numbers.
Therefore, the ratios of the lengths is: [tex]$ \sqrt{4x^2} : \sqrt{9x^2} $[/tex]
[tex]$ L_A : L_B = 2x : 3x $[/tex]
Now, volume is cube of lengths. Therefore, the ratio of volumes would be:
[tex]$ V_A : V_B = 8x^3 : 27x^3 $[/tex]
Given [tex]$ V_B = 405 cm^3 $[/tex]
[tex]$ \implies 27x^3 = 405 \hspace{1mm} cm^3 $[/tex]
[tex]$ \implies x^3 = \frac{405}{27} = 15 $[/tex]
Hence, the volume of solid A, [tex]$ V_A = 8x^3 = 8 \times 15 = \textbf{120} \hspace{1mm} cm^3 $[/tex].
Hence, the answer.
What is the first step to solve this equation;
11-3x=44
The first step to solve the equation 11-3x=44 is to isolate the variable x by subtracting 11 from both sides of the equation.
Explanation:To solve the equation 11-3x=44, the first step is to isolate the variable x.
To do this, we need to get rid of the constant term on the left side of the equation. We can do this by subtracting 11 from both sides:
11 - 11 - 3x = 44 - 11-3x = 33Now we have -3x = 33 as our new equation.
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Round 67.6 to nearest whole number
Answer:Integer Part: 67
Fractional Part: 60
Step-by-step explanation: This is how to round 67.6 to the nearest whole number. In other words, this is how to round 67.6 to the nearest integer.
67.6 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Answer:67
Step-by-step explanation:
When you round 67.6 to the nearest whole number you take the 6 off and get 67
if a pentagon has a total interior angle measure of the 540-degree ad there are 5 congruent angles find the measure of one of the interior angles
Answer:
Step-by-step explanation:
interior angle = sum of interior angles/total no. of angles
= 540/5 = 108
Yung’s taxable income is $36,558. He is filing as head of household, and he has already paid $4802 in federal taxes. What will he receive or pay after he figures his taxes for the year?
Answer:
He will pay $64
Step-by-step explanation:
Using the attached image, for the head of household earning $36,558, he's bound to pay $4,866 considering that his age bracket is in the last line of the image ($36,550-$36,600). However, since he has already paid $4,802 then he hasn't paid it all. He remains with a balance of $4,866-$4,802=$64
Therefore, he's supposed to pay additional $64
A play was attended by 984 persons. 75% of them were adults how many adults attend
Answer:
738
Step-by-step explanation:
984 ÷ 100 = 9.84
9.84 × 75 = 738
75/100
Simplify: -26a? + (-25a7)
Answer:
-26a - 25a^7
Step-by-step explanation:
prove equal chord of a circle subtends equal angle at centre
Answer:
The Proof for "Equal chord of a circle subtends equal angle at the Center".
Step-by-step explanation:
Consider a Circle with center as C,
Radius AC ,BC ,DC and EC
Chord AB = Chord CD
To Prove:
"Equal chord of a circle subtends equal angle at center".
i.e ∠ACB = ∠ECD
Proof:
In Δ ABC and Δ DEC
Chord AB ≅ Chord DE .….{Given}
AC ≅ DC …..{Radius of Same Circle}
BC ≅ EC ….{Radius of Same Circle}
Δ ABC ≅ Δ DEC ….{By Side-Side-Side Congruence Postulate}
∴∠ACB ≅ ∠ECD ...{Corresponding Parts of Congruent Triangles are Congruent or CPCTC} ....Proved
i.e Equal chord of a circle subtends equal angle at the Center.
Bag a contains 7x counters
bag b contains 2x counters
Five counters are taken from bag a and put in bag b
To find the new number of counters in each bag, subtract 5 from bag a and add 5 to bag b.
Explanation:The subject of this question is mathematics. In this question, we are given two bags, bag a and bag b, which contain 7x and 2x counters respectively. Five counters are taken from bag a and put in bag b.
To find the new number of counters in each bag, we subtract 5 from bag a and add 5 to bag b:
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Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
A. 68% of the data points lie between 10 and 14.
B. 68% of the data points lie between 8 and 12.
C. 6896 of the data points lie between 10 and 18.
D. 68% of the data points lie between 10 and 16.
Answer:
Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation:
Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.
The correct sentence for a normal distribution with a standard deviation of 4 and a mean of 14, is that 68% of the data points lie between 10 and 18.
The correct answer is C.
About 68% of the data in a normal distribution lie within one standard deviation of the mean.
● 14−4=10 is one standard deviation below the mean, and
14+4=18 is one standard deviation above it.
Thus, the range of 68% of the data values is between 10 and 18. Option C, which states that "68% of the data points lie between 10 and 18," thus accurately sums up the dataset.
the midpoint of AB is M(2,-2). If the coordinates of A are (-2,1), what ate the coordinates of B?
Step-by-step explanation:
To go from A to M you need to go 4 to the right and 3 down. If M is the middle you'll need to do the same to get from M to B. So (2+4,-2-3)=(6,-5)
write the fraction or mixed number as a decimal
Answer:
look below
Step-by-step explanation:
To write a fraction or mixed number as a decimal, divide the numerator by the denominator. So, for example, if you had 5/2, then you'd do 5÷2, which gives you 2.5. Hope that helped!
−3(y+3)=2y+3
y = ___
(type your answer as a number, "no solution" or "infinite solutions")
Answer:
y = -5/12
Step-by-step explanation:
−3(y+3)=2y+3 (multiply -3 with inside the parenthesis)
➡
-3y -9 = 2y +3
➡
-3y -2y = 3+9 add like terms
➡
-5y = 12
➡
y = -5/12
Jenny esta en el equipo de natación por el verano y su practica es de 4 horas por dia de la semana. El horario es el mismo es el mismo cada día. El equipo nada en la mañana y otra vez por la tarde 2 horas. Si ella nada 12 horas por semana cuanto nada cada mañana
Answer:
Jenny spent 1 hour swimming in the morning.
Jenny pasó 1 hora nadando por la mañana.
Step-by-step explanation:
Translated:
Jenny is on the summer swimming team and her practice is 4 hours per day, in a week. The schedule is the same every day. The team swims in the morning and again in the afternoon 2 hours. If she swims 12 hours a week, how much does she swim every morning?
We know that she swims 4 hours per day, mornings and evenings.
We know that one specific week she swam for 12 hours total in that week.
Let as denote the number of hours swam in a day as [tex]x[/tex].
Then we can say that in that week for 12 hours total and 4 hours swimming per day, we have:
[tex]4x=12\\x=\frac{12}{4}\\x=3[/tex]hours per day swam for that week.
Now since we know for a fact that 2 hours are spend swimming in the evening then we can subtract this from the total of 3 hours as
[tex]3-2=1[/tex] hour of swimming in the morning.
So we can conclude that on the week that Jenny swam for 12 hours total, she spent 1 hour swimming in the morning and 2 hours swimming in the evening.
En Espagnol:
Entonces podemos concluir que la semana en que Jenny nadó durante 12 horas en total, pasó 1 hora nadando por la mañana y 2 horas nadando por la noche
joe divided 1.38 by .6 and what should joe's answer be?
Answer:
Step-by-step explanation:
It should be 2.3 because dividing by decimals is almost the same as dividing by normal numbers you just change the decimal point when you are done dividing.
The price of a desktop computer after discount was $1600 if the discount was 20% what was the original price
Answer:$2,000
Step-by-step explanation:
There were 4 car races on saturdayand 3 on Sunday. If there were 9 cars racing in each race, how many cars raced over the two days?
Final answer:
A total of 63 cars raced over the two days: 36 cars on Saturday (4 races × 9 cars) and 27 cars on Sunday (3 races × 9 cars).
Explanation:
The student is asking to calculate the total number of cars that raced over two days. There were 4 car races on Saturday and 3 on Sunday, with 9 cars racing in each race. To find the total number of cars that raced, you would multiply the number of races each day by the number of cars in each race and then add those two products together.
For Saturday: 4 races × 9 cars per race = 36 cars
For Sunday: 3 races × 9 cars per race = 27 cars
Adding the cars from Saturday to the cars from Sunday gives us the total: 36 cars + 27 cars = 63 cars.
Therefore, over the two days, a total of 63 cars raced.
Solving a right triangle (ROUND TO THE NEAREST TENTH)
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for B
B = 180° - (90 + 40)° = 180° - 130° = 150°
--------------------------------------------------------------
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{21}[/tex]
Multiply both sides by 21
21 × sin40° = a, thus
a ≈ 13.5 ( to the nearest tenth )
--------------------------------------------------------------
cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{21}[/tex]
Multiply both sides by 21
21 × cos40° = b, thus
b ≈ 16.1 ( to the nearest tenth )
Solve X^2 - 3x - 10 = 0 by using the quadratic formula
Good evening
Answer:
x = 5 or x = -2Step-by-step explanation:
Look at the photo below for the details.
:)
Answer:
x = 5 or x = -2
Step-by-step explanation:
See the attached image for the working out.
Tyler is overdrawn at the bank by $180 He gets $70 for his birthday and deposits it what is his account balance now
Answer:
-$110
Step-by-step explanation:
An overdrawn bank account would be -$180. you would have to add $70 .
given 70 is not large enough to fully bring the balance to 0. long story short, subtract 70 from 180. since 70 is < 180 the number is therefore negative since 180 is negative in this problem
I hope this helps!!^^
Answer:
He is overdrawn by $110
Step-by-step explanation:
-180+ -70=110
Will is 29% taller than Wanda, so Will's height is ____% of Wanda's height.
Will is 29% taller than Wanda, so Will's height is 77.5% of Wanda's height.
Solution:
Let x be Will's height, and y be Wanda's height.
Since Will is 29% taller than Wanda we have,
[tex]x=1.29y \rightarrow(y+29\% \text{ of y }\rightarrow1y+.29\rightarrow y\rightarrowy(1+.29)\Rightarrow1.29y)[/tex]
Then solving for y we get,
[tex]\Rightarrow y=\frac{x}{1.29}\rightarrow y=\frac{100x}{129}[/tex]
[tex]\Rightarrow y\approx0.7752x[/tex]
Therefore, Will is 77.5% of Wanda's height.
Will's height is 129% of Wanda's height.
Explanation:To calculate the percentage of Will's height compared to Wanda's height, we need to determine how much taller Will is than Wanda. If Will is 29% taller, it means his height is 129% of Wanda's height. This can be calculated by adding 29% to 100%: 100% + 29% = 129%. Therefore, Will's height is 129% of Wanda's height.If Will is 29% taller than Wanda, then he is 100% of Wanda's height (which is Wanda's total height) plus an additional 29% of Wanda's height. Therefore, if you combine these percentages, you will find that Will's height is 129% of Wanda's height.
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Write an equation of the line that passed through (7,10) and is perpendicular to the line y=1/2x-9
The equation of the line perpendicular to y=1/2x-9 passing through the point (7,10) is y=-2x+24.
Explanation:To find the equation of a line that is perpendicular to another line, we need to determine the slope of the given line and use the negative reciprocal of that slope for our new line. The line given is y = ½x - 9, so the slope (m) is ½. The slope of the perpendicular line will be the negative reciprocal of ½, which is -2.
The next step is to use the point given, (7,10), and the slope of the perpendicular line to write the equation in point-slope form, which is y - y1 = m(x - x1). Plugging in our values we get: y - 10 = -2(x - 7).
Finally, we can rearrange this into slope-intercept form, y = mx + b, by simplifying and solving for y:
Therefore, the equation of the line perpendicular to y = ½x - 9 that passes through the point (7,10) is y = -2x + 24.