yall pls help meeeee (brainliest btw)!!!!!
Colossal Elementary School had a mother/daughter painting weekend. On Saturday, eight mothers worked with 12 daughters to paint 220square feet of a large mural on a wall in the gymnasium. The next day, six moms worked with eight daughters to paint another 152square feet of the mural in the gym. Write and solve a system of equations to find how many square feet each mom painted and how many square feet each daughter painted. Assume all moms painted at the same rate and all daughters painted at the same rate.
Answers
Let m be the amount each mom can paint and d be the amount each daughter can paint.
On the first day, 8 mothers were painting so the mothers painted 8m square feet. 12 daughters also painted so the daughters painted 12d square feet. The total amount painted on the first day is then 8m+12d square feet. Since 220 square feet was painted on the first day, then 8m+12d=220. Dividing both sides by 4 gives a simplified equation of 2m+3d=55.
On the second day, 6 mothers were painting so the mothers painted 6m square feet. 8 daughters also painted so the daughters painted 8d square feet. The total amount painted on the second day is then 6m+8d square feet. Since 152 square feet was painted on the second day, then 6m+8d=152
Multiply the first equation by -3 and then add it to the second equation to eliminate m and solve for d:
d=13
2m+3d=55
2m+3(13)=55
2m+39=55
2m=16
m=8
Therefore each mom painted 8 square feet and each daughter painted 13 square feet.
Related Questions
Given the equation 12.75y = 38.25, determine the value of y.
Answers
Answer:
y = 3
Step-by-step explanation:
12.75y = 38.25
To find the value of y, divide each side by 12.75
12.75y/12.75 = 38.25/12.75
y = 3
I need help asap 20 points
Answers
Answer:
Step-by-step explanation:
Input Output
1 12
2 2*12 = 24
3 3*12 = 36
4 4*12 = 48
Function:
y = 12x
A computer processes information in nanoseconds. A nanosecond is one-billionth of a second. Write this number as a decimal.
Answers
Answer:
0.000000001
Step-by-step explanation:
Let's convert this :
0.000000001
tHT M B
t=tenths
H=Hundredths
T=Thousandths
M=millionths
B=Billionths
rewrite the following expression. x 9/7
Answers
The given expressiοn x 9/7 may be rewritten as 9x/7.
What is an expressiοn?An expressiοn is a cοmbinatiοn οf symbοls, variables, and/οr numbers that represents a mathematical relatiοnship οr quantity, but is nοt an equatiοn and dοes nοt cοntain an equal sign.
An expressiοn in math is a sentence with a minimum οf twο numbers οr variables and at least οne math οperatiοn. This math οperatiοn can be additiοn, subtractiοn, multiplicatiοn, οr divisiοn.
Tο rewrite "x 9/7" as "9x/7", we need tο recοgnize that the expressiοn "x 9/7" means "x multiplied by 9/7". Sο we can write:
x 9/7 = x * 9/7
Then we can simplify the expressiοn by multiplying the numeratοr (9) by x:
x 9/7 = 9x/7
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*URGENT*
I’ve been doing this problem over and over but i have a feeling i’m wrong, please help!!
Answers
\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)
Solve using the quadratic formula x2 - 6x - 40=0 Question options: x = 10 or x = -4 x = 4 or x = -10 x = -7 or x = 7 x = -4 - √7 or x = -4 + √7 solve for x the find angle b
Answers
Answer:
\(x=-10\) or \(x=4\)
Step-by-step explanation:
\(ax^2+bx+c=0\)
\(x^2-6x-40=0\)
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
\(x=\frac{-6\pm\sqrt{6^2-4(1)(-40)}}{2(1)}\)
\(x=\frac{-6\pm\sqrt{36+160}}{2}\)
\(x=\frac{-6\pm\sqrt{196}}{2}\)
\(x=\frac{-6\pm14}{2}\)
\(x=-3\pm7\)
\(x=-10\) or \(x=4\)
Think of the factors of 40 - fortunately only a few options come to mind.
10x4 and 8x5
Knowing the “inner” term is 6, this means the factors are 4 and 10 because 10-4=6
The inner term is negative, so the first term must have a -10 in it.
Therefore:
(x-10)*(x+4)=0
Or
X = 10
X = -4
Equivalent expression for m-(8-3m)
Answers
Answer:
4m-8
Step-by-step explanation:
answer
Answer:
4m - 8
Step-by-step explanation:
Given expression,
→ m - (8 - 3m)
Simplifying the expression,
→ m - (8 - 3m)
→ m - 8 + 3m
→ 4m - 8
→ 4(m - 2)
Hence, answer is 4m - 8.
Two consecutive terms in an ARITHMETIC sequence are given. Find the recursive function.
Answers
An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The recursive formula have the following format:
\(a_{n+1}=a_n+d\)Where 'd' is the common difference between each term.
From the text, we know that
\(\begin{gathered} a_3=5 \\ a_4=8 \end{gathered}\)Plugging those values in our formula, we find that the common difference between our terms is 3.
This gives us the following recursive function:
\(f(n+1)=f(n)+3\)Evaluating the function at '5' and '6', we get the following:
\(\begin{gathered} f(5)=f(4)+3=8+3=11 \\ f(6)=f(5)+3=11+3=14 \end{gathered}\)Based on the figure, which of the following equations is also true?
с
A sin 38°
17
17
B cos 38°
с
17
cos 52°
с
с
D tan 52°
17
Answers
Answer:
The correct answer is B.
Step-by-step explanation:
Because you know two of the angles in a triangle are 90° and 52°, you can infer that the third angle is 38°. There is a trigonometry rule that states the sine of an angle is equivalent to the cosine of 90° minus that angle, which you can apply to here. Since \(Sin(52\)°\()\) = \(\frac{17}{c}\), you know that \(Cos(90\)°\(-52\)°\()\) or \(Cos(38\)°\()\)also equals \(\frac{17}{c}\), so choice B is the correct answer.
Carl and Laura are reading different copies of the same book. Carl has already read 10 pages of his copy of the book when Laura begins reading her copy of the book. A system of equations can be used to-compare the number of pages () each person has readx minutes after Laura begins reading her copy of the book. The solution to the system of equations is (40, 50). What does the solution (40, 50) represent in this situation?
ACarl has read 40 pages and Laura has read 50 pages.
BCarl and Laura have both read 50 pages after Laura has been reading for 40 minutes.
C Carl and Laura have both read 40 pages after Laura has been reading for 50 minutes.
D Carl has read 50 pages and Laura has read 40 pages
Answers
The solution to the system of equations (40, 50) represents in this situation that Carl has read 40 pages and Laura has read 50 pages. What are the equations in the given problem? Since it is said that "A system of equations can be used to compare the number of pages each person has read x minutes after Laura begins reading her copy of the book." So, the correct option is A: Carl has read 40 pages and Laura has read 50 pages is correct.
We can define two variables in the given problem:Let x be the number of minutes after Laura starts reading the book. Let y be the number of pages Laura reads in x minutes.
Thus, Laura can read y/ x pages in 1 minute. Since Carl had read 10 pages before Laura started, he would have read the y/x + 10 pages when Laura read y pages.
We have y/x as the rate of Laura's reading and y/x + 10 as the rate of Carl's reading. The equations can be written as follows: Carl's pages = y/ x + 10Laura's pages = y
Carl has already read 10 pages, so the equations can be expressed as: Carl's pages = y/ x + 10Laura's pages = y + 10. The solution to the system of equations (40, 50) represents that Carl has read 40 pages and Laura has read 50 pages as 40 represents the time Laura has spent reading (in minutes) and 50 represents the number of pages Laura has read. Thus, option A: Carl has read 40 pages and Laura has read 50 pages is correct.
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help pleaseeeeeeeeee
Answers
Answer:
C.
Step-by-step explanation:
Solve the simultaneous equations 5+2y=11 -5x+4y=13 pleas help
Answers
Answer:
x=5 y=-2.
Step-by-step explanation:
1. A cooler is in the shape of a rectangular
prism. What is the volume of the cooler?
Round to the nearest tenth if necessary.
I
Answers
Answer:
what is the answerrrrrrrrrrrrrrrrr
Step-by-step explanation:
The volume of the cooler is 2772 in³
What is a volume?Volume is the amount of space taken up by an object
What is the volume of a rectangle?The formula for calculating the volume of a rectangular prism is volume = length × width × height.
According to the question
Length= 22in.
breadth= 12 in.
width= 10 1/2 in. or 21/2 in.
So, the volume= 22× 12× (21/2)
=2772 in³
Thus the volume of a rectangular prism is 2772 in³
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Suppose your roommate smokes in your apartment, imposing a cost on you. The Coase theorem suggests that one solution would involve:
Answers
The Coase theorem suggests that in situations like this, bargaining between the two parties can lead to an efficient outcome. In this case, the smoker and non-smoker (roommate and you) could negotiate to find a solution that minimizes the total cost to both parties.
For example, the smoker could agree to smoke outside or use an air purifier, while the non-smoker could offer to pay a portion of the cost of these solutions. Ultimately, the Coase theorem suggests that as long as property rights are clearly defined and transaction costs are low, the two parties can negotiate to find a mutually beneficial solution to the problem of smoking in the apartment.
1. Clearly defining property rights: Establish whether the apartment has a non-smoking policy or if you have the right to a smoke-free environment within your living space.
2. Engaging in negotiation: Communicate your concerns to your roommate and discuss the negative effects of their smoking on you.
3. Finding a mutually beneficial solution: Both parties can negotiate and arrive at a compromise. This could include your roommate agreeing to smoke outside, designating a specific area for smoking, or using a smoke-filtering device. In some cases, you may also consider offering compensation or splitting the costs of a smoke-filtering device.
By following these steps, both you and your roommate can reach an efficient solution that reduces the cost imposed on you due to your roommate's smoking.
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8x-4y=-27 in slope intercept form
Answers
Answer:
y=2x-27/4
Step-by-step explanation:
Answer:
\(y=2x+\frac{27}{4}\)
Step-by-step explanation:
The slope-intercept form is \(y=mx+b\)
\(m\) = slope
\(b\) = y-intercept
−4y = -27 − 8x subtract \(8x\) from both sides
\(y=2x+\frac{27}{4}\) divide each term by \(-4\) and simplify.
if M is 7 and x is 7 so what is m
Answers
Step-by-step explanation:
so your answer is m= 7
I think the question is incomplete.
though I think you got helped.
Jamar writes 4 x 6 = 24 to find the total number of
marbles he has. How might Jamar describe what each
factor represents in the multiplication equation?
Answers
There 6 number of bags and each bag will have 4 marbles in it.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
4 x 6 = 24
If 24 represents total bof marbles.
So, we can assume that there 6 number of bags and each bag will have 4 marbles in it.
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Pls help me with my homework
Answers
Answer:
-48
Step-by-step explanation:
PLS HELP NO LINKS. Assume that RQ and RS tangent to circle T. solve for x.
Answers
Answer:
x = 6
Step-by-step explanation:
Here, we want to solve for the value of x
mathematically, tangents drawn from the same point to touch two points on a circle, are the same distance from the external point
thus;
QR = RS
Thus;
3x + 8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
When a potato whose temperature is 20 ∘
C is placed in an oven maintained at 200 ∘
C, the relationship between the core temperature of the potato T, in Celsius, and the cooking time t, in minutes, in modelled by the equation 200−T=180(0.96). Use Logarithms to determine the time when the potato's core temperature reaches 160 ∘
C. [4]
Answers
The cooking time when the potato's core temperature reaches 160 ∘C is approximately 78.2 minutes.
The given equation is 200 - T = 180(0.96)
Let's solve the given equation to find the core temperature T of the potato 200 - T = 172.8
(This is because 180 x 0.96 = 172.8)200 - 172.8 = T
27.2 = T
We have the value of T, which is equal to 27.2.
Now, we can use this value to find the cooking time t when the core temperature of the potato reaches 160 ∘C.
Let's use the equation T = 200 - 180(0.96)^t/150 and substitute T = 160 ∘C and solve for t.
160 = 200 - 180(0.96)^t/150
40 = 180(0.96)^t/150(0.2222)
= (0.96)^t/150
Taking the natural log of both sides,
ln(0.2222) = ln(0.96)^t/150t
ln(0.96) = ln(1/0.2222)t
= ln(1/0.2222) / ln(0.96)
Using a calculator, t ≈ 78.2 minutes
Hence, the cooking time when the potato's core temperature reaches 160 ∘C is approximately 78.2 minutes.
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the cost function for folding bicycles is given by c ( x ) = 4300 510 x 0.2 x 2 and the demand function p ( x ) = 1530 . what production level will maximize the profit?
Answers
The cost function for folding bicycles is given by c ( x ) = 4300 510 x 0.2 x 2 and the demand function p ( x ) = 1530. The production level that will maximize the profit is 2,550 folding bicycles
To maximize profit, you need to find the production level at which the difference between revenue and cost is the greatest. First, let's define the given functions:
Cost function, C(x) = 4300 + 510x + \(0.2x^{2}\)
Demand function, P(x) = 1530
The revenue function can be calculated as the product of price and quantity:
Revenue function, R(x) =P(x) × x = 1530x
Now, the profit function is the difference between the revenue and the cost:
Profit function, π(x) = R(x) - C(x) = 1530x - (4300 + 510x + \(0.2x^{2}\))
Simplify the profit function:
π(x) = 1020x - \(0.2x^{2}\) - 4300
To find the production level that maximizes the profit, you need to find the critical points of the profit function by taking its first derivative and setting it equal to zero:
π'(x) = 1020 - 0.4x
Now, set the first derivative equal to zero and solve for x:
0 = 1020 - 0.4x
0.4x = 1020
x = 2550
Thus, the production level that will maximize the profit is 2,550 folding bicycles.
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For a fraction to a be Rational Number it has to be made up of _____?1. Integers2. Rational numbers3. Letters4. Irrational numbers
Answers
The definition of a rational number is: A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.
Examples of rational numbers are:
\(\frac{1}{2},\frac{2}{3},\frac{7}{8},\text{ etc}\)From the above definition
For a fraction to a be Rational Number it has to be made up of integers
The answer is option 1
Please make sure you answer both parts of the question. Remember to properly format your function.The hat that George bought turned out to previously belong to a magician! Initially, 3 rabbits hopped out of the hat. Each day after that, double thenumber of rabbits from the previous day appeared.1: Write an exponential function that can be used to model this function.2: How many rabbits appeared on the 13th day?
Answers
Solution
Question 1:
\(\begin{gathered} \text{ On day 1, 3 rabbits hopped out} \\ \text{ On day 2, }3\times2=6\text{ rabbits hopped out} \\ \text{ On day 3, }3\times2\times2=3\times2^2\text{ rabbits hopped out} \\ \text{ On day 4, }3\times2\times2\times2=3\times2^3\text{ rabbits hopped out} \\ \\ \text{Following this pattern, we can find the number of rabbits that will hop out on a day n.} \\ \\ \text{ On day }n,3\times2\times2\times2\ldots\times2=3\times2^{n-1}\text{ rabbits hopped out} \\ \\ \text{Thus, the exponential function to model this scenario is given below as } \\ \\ f(n)=3\times2^{n-1} \end{gathered}\)Question 2:
\(\begin{gathered} \text{The question is asking for the number of rabbits that will hop out on day 13} \\ \text{ We can simply apply our formula and this implies that }n=13 \\ \\ \therefore f(13)=3\times2^{13-1} \\ \\ f(13)=3\times2^{12}=12,288 \\ \\ \text{Thus, the number of rabbits that will hop out of the hat on the 13th Day is 12,288} \end{gathered}\)Final Answer
Question 1:
The exponential function to model the scenario is
\(f(n)=3\times2^{n-1}\)
Question 2:
The number of rabbits that will hop out of the hat on the 13th Day is 12,288 rabbits
It's no small feat to travel 160,000,000km, to visit 200 million children, in 800 million homes, in only 34 hours... Luckily Santa has magic on his side. If he visits 200,000,000 children in 34 hours, How many Kids per hour.
Answers
Answer
Santa visits 5,882,353 kids per hour
Explanation
The mathematical expression to get the number of kids visited per hour is
\(\text{Number of kids visited per hour = }\frac{Total\text{ number of kids}}{Total\text{ number of hours available}}\)Total number of kids = 200,000,000 kids
Total number of hours available = 34 hours
\(\begin{gathered} \text{Number of kids visited per hour = }\frac{200000000}{34} \\ =5,882,352.94 \\ =5882352\text{ kids per hour to the nearest whole number} \end{gathered}\)Hope this Helps!!!
What is the factor of 42?
Answers
Answer:
Step-by-step explanation:
42 is an even number so it is divisible by 2
42 divided by 2=21
42 has digits that add up to give 6
If the sum of a number adds up to give 3, 6 or 9 that number is divisible by 3
42 divided by 3=14
Factors of 42 are 21 and 2 and 14 and 3 and 42 and 1
For each of the English statements below, do the following; i. Define a possible universe of discourse for each statement, ii. Define one or more predicates and rewrite the English statements using symbolic notation, iii. Write the negation of the symbolic notation, simplifying when possible. iv. Rewrite the negation as an English statement. v. Is it possible to define a universe of discourse that makes the original statement true and another that makes the statement false? Justify your answer. vi. Is it possible to define a universe of discourse that makes the negated statement true and another that makes the statement false? Justify your answer. a) There exists an x and y such that x−y=y−x. b) For every x and y,x−y=y−x. c) For every x and y there exists a z such that x/y=z.
Answers
The possibility of defining a universe of discourse that makes the original statement true or false depends on the nature of the statement itself.
a) Universe of discourse: The set of all real numbers.
Predicates: Let P(x, y) represent x−y=y−x.
Symbolic notation: ∃x∃y P(x, y)
Negation: ¬(∃x∃y P(x, y))
Negated symbolic notation: ∀x∀y ¬P(x, y)
Possible interpretations: The original statement is true if there exist real numbers x and y such that their subtraction yields the same result regardless of the order. The negated statement is false if, for all real numbers x and y, their subtraction does not yield the same result regardless of the order.
b) Universe of discourse: The set of all real numbers.
Predicates: Let Q(x, y) represent x−y=y−x.
Symbolic notation: ∀x∀y Q(x, y)
Negation: ¬(∀x∀y Q(x, y))
Negated symbolic notation: ∃x∃y ¬Q(x, y)
Possible interpretations: The original statement is false if there exist real numbers x and y for which their subtraction does not yield the same result regardless of the order. The negated statement is true if there exist real numbers x and y such that their subtraction does not yield the same result regardless of the order.
c) Universe of discourse: The set of all real numbers.
Predicates: Let R(x, y, z) represent x/y=z.
Symbolic notation: ∀x∀y∃z R(x, y, z)
Negation: ¬(∀x∀y∃z R(x, y, z))
Negated symbolic notation: ∃x∃y∀z ¬R(x, y, z)
Possible interpretations: The original statement is true if for every pair of real numbers x and y, there exists a real number z such that their division is equal to z. The negated statement is false if there exist real numbers x and y for which, for every real number z, their division is not equal to z.
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journee ate 9 grapes . grandma gave her more grapes . journee ate 15 grapes in all . how many grapes did grandma give her ?
Answers
Answer:
6 grapes.
Step-by-step explanation:
If she already had 9 grapes, subtract 15 and 9 to get 6.
Answer:
6 grapes
Step-by-step explanation:
take 15 subtract 9 to get 6
Help me I don’t understand what I’m doing
Answers
Answer:
Area of triangle = 192 cm²
Step-by-step explanation:
→ Area of triangle = 0.5 × Base × Height
Base = 24 cm
Height = 16 cm
→ Substitute in the values
Area of triangle = 0.5 × 24 × 16
→ Simplify
Area of triangle = 192 cm²
Answer:
the answer is 192cm²
Step-by-step explanation:
area of a triangle is =1/2base ×height
base=24cm,height =16cm
back to the formula which is
area=1/2base×height
= 1/2×24×16
=12×16
=192cm²
Find the length of ĀB.
A. About 3.6 units
B. 89 units
C. 13 units
D. About 9.4 units
Answers
Answer:
D. About 9.4 units
Step-by-step explanation:
\(ab = \sqrt{ {(9 - 4)}^{2} + {(10 - 2)}^{2} } \\ ab = \sqrt{ {(5)}^{2} + {(8)}^{2} } \\ ab = \sqrt{25 + 64} \\ ab = \sqrt{89} \\ ab = 9.43398 \: units\)
What is the equation of a line that is perpendicular to the line y=-3x + 2 and passes through the point (6, 8)?
O A y = 3x + 2
OB. y = 3x - 10
C. y= 1/3x + 2
OD. y=1/3x+6
Answers
The equation of the line that is perpendicular to the line y=-3x + 2 and passes through the point (6, 8) will be y = (1/3)x + 6. Then the correct option is D.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
y = -3x + 2
The equation of the line that is perpendicular to y = -3x + 2 will be given as,
y = (1/3)x + c
The equation of the line passes through the point (6, 8). Then we have
8 = (1/3)(6) + c
8 = 2 + c
c = 6
The equation of the line that is perpendicular to the line y=-3x + 2 and passes through the point (6, 8) will be y = (1/3)x + 6. Then the correct option is D.
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