One afternoon, Supreme sub shop sells 15 subs in 45 minutes. If the shop continues to sell subs at the same rate, about how many subs will the shop sell in 3 hours?
HELLLLLLLLP MEEEEEEEEEEEEEEE
For the expression 6 − y + 3, determine the coefficient for the variable term.
A −1
B 0
C 3
D 6
Answer:
A -1
Step-by-step explanation:
The coefficient is the number in front of a variable. since there isn't a number we can conclude that the y is only there once. There is 1 (one) y. Since it is subtracting in front of the coefficient, we can determine it is taking one away, or -1. So 6-y+3 is 6-1y+3.
Pleas please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
10/9
Step-by-step explanation:
average rate of change in 0≤x≤9
=(3-(-7))/(9-0)=10/9
Answer:
The solution is 10/9
Step-by-step explanation:
Step 1: identify the right approach:
Given a function g(x) over a period of time, to find the average rate of change of g(x) over this period of time, we divide the change in g(x) by the change in x.
Step 2: Perform the calculation:
As shown in picture,
x = 0 => g(x) = -7
x = 9 => g(x) = 3
=> The change of x over interval [0, 9] is:
x_change = 9 - 0 = 9
=> The change of g(x) over interval [0, 9] is:
g(x)_change = 3 - (-7) = 10
=> The average rate (r) of change of g(x) over interval [0, 9] is:
r = g(x)_change/x_change = 10/9
Hop this helps!
:)
Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why?
Yes, because the quotient of Fraction 1 and 3 over 4division signfraction 2 over 3 is 2 and 5 over 8
No, because the quotient of Fraction 2 over 3division signFraction 1 and 3 over 4 is 1 and 2 over 12
No, because the quotient of Fraction 1 and 3 over 4division signfraction 2 over 3 is 1 and 2 over 12
Yes, because the quotient of Fraction 2 over 3division signFraction 1 and 3 over 4 is 2 and 5 over 8
Hey there mate ☺️!,
\( \frac{2}{3} \)yard of fabric = 2 feet of this fabric = which is used to make 1 scarf
\(1 \times \frac{3}{4} \) yards = ?
1 yard = 3 feet = 36 inches
\( \frac{3}{4} \) of 36
\( \frac{36}{4} \) = 9
→ 9 x 3 = 27
→ 36 + 27 = 63
Therefore, 63 inches of fabric means that she can make 2 scarves as 2 scarves would use 48 inches or 4 feet, since 1 scarf uses only 2 feet. She will also have 15 inches of extra fabric.
By Benjemin ☺️
Josh is hiking Glacier National Park. He has now hiked a total of
17
km
17 km17, start text, space, k, m, end text and is
2
km
2 km2, start text, space, k, m, end text short of being
1
2
2
1
start fraction, 1, divided by, 2, end fraction of the way done with his hike.
Write an equation to determine the total length in kilometers
(
ℎ
)
(h)left parenthesis, h, right parenthesis of Josh's hike.
Josh will cover a total distance of 38 kilometres while trekking in Glacier National Park, having already covered 17 km of the park's trails.
How do we find out how far we have traveled overall?The idea that will be applied in this situation is the usage of models to simplify expression.
Josh was able to hike 17 km, and since this is 2 km short of being halfway done, we can create the equation that models the situation.
The model can be written as [17 + 2 = (1/2)h ]
h =length of the hike.
then we can substitute the values so that we can know the value of h,
[17 + 2 = (1/2)h ]
[19 =0.5h]
h = 38 km
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The properly written question:
Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, space, k, m short of being \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction of the way done with his hike.
Sylas only has $330 in his checking account. Does he have enough money to buy a pair of shoes that
cost $310, if he also has to pay 6% sales tax?
Answer:
Pretty sure It's $1.40
Step-by-step explanation:
Sylas may not have enough money to buy the shoes with sales tax included. The sales tax on the shoes would be $18.60 (6% of $310), bringing the total cost to $328.60. This leaves Sylas with only $1.40 in his account. However, it is unclear if Sylas has any other sources of income or if he needs to pay for any other expenses. As for Tobias, his grandfather's account had earned $3,000 in simple interest. It is unclear if this is the full balance of the account or just the interest earned.
Answer:
1.40
Step-by-step explanatiom:
A survey of 22 retirees was taken. Among other things, the retirees were asked to report the age at which they retired. Here are those 22 ages (in years). 31, 47, 48, 48, 54, 55, 56, 59, 62, 63, 63, 63, 65, 67, 68, 68, 69, 71, 71, 72, 75, 78
Recall that the following definitions :
- mean: given a set of n data points, the mean is simply the sum of the data points divided by the total number of data points
-median: To calculate the median, you organize the data from least to greatest, the data point that has the exactly amount of data on the right and on the left, is the median. If the number of data points is even, you should add the two points that are "in the middle" and divide them by 2. Example
for the data set 5 4 2 3 1, if we organize it we get 1 2 3 4 5, so the median is 3. If we have the data set 1 2 3 4, there is no middle point, so we take 2 and 3, that are in the "middle" , we add them (2+3 =5) and divide them by 2 (2.5). So the median is 2.5
- the mode is the data point that has more observations, for example in the dataset 1 2 3 4 1 1 the mode is 1 since it appears 3 times.
a) The mean exists for every dataset. The median exists for every dataset that has more than two datapoints. In this case the mode is 63, so the three of them exist for this data set.
b) The smallest value is 31. Since we replace it by 27, the mean gets affected. Since we have the same amount of data and 27 is the smalles point, the median doesn't change. Since the occurrence of 27 is only one, the 27 remains unchanged. So only the mean changes.
c) If we remove 31, we will have less data, so the median changes. As before, the mean also changes. However, the mode remains the same.
d) If we calculate the mean of the dataset, we get that the mean is 61.5. The median is 63, so the median is greater.
A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:
y=-0.0625x+1.25x +5.75 where x and y are measured in feet.
a) Will the truck fit under the arch? Explain (with numerical details).
BIRD
b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?
Answer:
Yes
8 ft
Step-by-step explanation:
The equation of the arch is
\(y=-0.0625x^2+1.25x+5.75\)
Differentiating with respect to \(x\) we get
\(\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25\)
Equating with zero
\(0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10\)
Double derivative of the equation
\(\dfrac{d^2y}{dx^2}=-0.125<0\)
So, the function is maximum at \(x=10\)
\(y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12\)
The function is maximum at \((10,12)\)
So, the truck's center should be below the point \((10,12)\) for maximum width to pass through.
Now truck is 11 feet tall so \(y=11\)
\(11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14\)
The maximum width of the truck can be \(14-6=8\ \text{ft}\) if it is 11 feet tall.
So, the truck which has a width of 7 feet can fit under the arch.
in the diagram below the lager angle is 4 times bigger than the smaller angle.find larger angle
Let the smaller angle be
\(=x\)The larger angle is 4 times bigger than the smaller angle means
\(\begin{gathered} \text{larger angle =y} \\ \text{Therefore,} \\ y=4\times x \\ y=4x \end{gathered}\)Concept:
The sum of two or more angles on a straight line is always 180°
Therefore,
\(x+y=180^0\)By substituting the value of y=4x in the equation above, we will have
\(\begin{gathered} x+4x=180^0 \\ 5x=180^0 \\ \text{divide both sides by 5} \\ \frac{5x}{5}=\frac{180^0}{5} \\ x=36^0 \end{gathered}\)substitute the value of x= 36° in y=4x to find the value of the bigger angle
\(\begin{gathered} y=4x \\ \text{when x=36} \\ y=4\times36 \\ y=144^0 \end{gathered}\)Hence,
The larger angle is =144 °
OPTION D IS THE CORRECT ANSWER
I NEED THIS DONE TODAY WHOEVER GETS THIS CORRECTS GETS BRAINLIEST!!!!
PLZZZ HELPP MEEE!!!!!
Answer:
A
fejeiniwbStep-by-step explanation:
my Feb H2 hd ECU TF2 ACTH GVC ect 5th of T2 te BG f
Answer:
A. 5.25 miles or 5 1/4 miles
B. 4.75 miles or 4 3/4 miles
C. 5.75 miles or 5 3/4 miles
Step-by-step explanation:
I counted every small line and then multiplied by 1/4
A recipe for fruit punch calls for 9 cups of grapefruit juice for every 4 cups of orange juice if 60 cups of orange juice are used then how many cups of grapefruit juice are needed
Answer:
15 cups of grapefruit juice
Step-by-step explanation:
60 / 4 = 15
Therefore, 15 cups of grapefruit juice were needed.
Hope this helps :)
Tell me if this is wrong
Please help directions in pic
Answer:
This is the equation: y = -100x + 500
Find the length of the following parametric curve. x = 4 + 3/2 t, y = 6 + t^3/2, 0 ≤ t≤ 2.
The length of the parametric curve is L ≈ √27 - 1 units.
To find the length of the parametric curve defined by x = 4 + 3/2 t and y = 6 + t^(3/2) with the interval 0 ≤ t ≤ 2, we need to compute the arc length of the curve. We can use the arc length formula for parametric equations:
L = ∫(from a to b) √(dx/dt)^2 + (dy/dt)^2 dt
First, find the derivatives of x and y with respect to t:
dx/dt = 3/2
dy/dt = (3/2)t^(1/2)
Next, square these derivatives and sum them:
(3/2)^2 + ((3/2)t^(1/2))^2 = 9/4 + (9/4)t
Now, take the square root of the sum:
√(9/4 + (9/4)t) = √(9/4(1 + t))
Finally, evaluate the integral with the given limits:
L = ∫(from 0 to 2) √(9/4(1 + t)) dt
To solve the integral, use a substitution method by setting u = 1 + t, du = dt. The new limits are 1 ≤ u ≤ 3. Then, the integral becomes:
L = ∫(from 1 to 3) √(9/4u) du
This integral can be rewritten as:
L = (3/2)∫(from 1 to 3) √u du
Now, evaluate the integral:
L = (3/2)[(2/3)u^(3/2)] (from 1 to 3)
L = (3/2)(2/3)[u^(3/2)] (from 1 to 3)
L = u^(3/2) (from 1 to 3)
L = (3^(3/2)) - (1^(3/2))
L = √27 - 1
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Estimate the answer to 783 + 329 by rounding each number to the nearest hundred
Answer:
1100
Step-by-step explanation:
783 rounded to the nearest hundred is 800
329 rounded to the nearest hundred is 300
800+300=1100
The estimation of 783 + 329 = 1100.
What is Rounding off?Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.
Given:
783 + 329
Now rounding off nearest hundred
783 rounded off to 800
and, 329 rounded off to 300.
So, 800+ 300 = 1100
Hence, the estimation is 1100.
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5. In A LMN, LM = 12, LN = 10. and angle L = 52° What is the length, to the nearest tenth of a unit, of MN?
7.4 units
15.6 units
9.8 units
14.4 units
The length of MN, to the nearest tenth of a unit is equal to: C. 14.4 units.
What is the law of cosine?In order to determine the missing side length of a geometric figure with the adjacent and hypotenuse side lengths given, you should apply the law of cosine:
C² = A² + B² - 2(A)(B)cosθ
Where:
A, B, and C is the length of side of a given triangle.
By substituting the given side lengths and angle into the law of cosine formula, we have the following;
MN² = LM² + LN² - 2(LM)(LN)cosθ
MN² = 12² + 10² - 2(12)(10)cos(52)
MN² = 144 + 100 - 147.76
MN = √96.24
MN = 9.8 units.
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16. Your scores on four algebra tests are 93, 69, 89, and 97: After the
next test, you want your average to be at least 84. What are the
possible scores for your next test?
Answer:
81 and above
Step-by-step explanation:
They have to be 81 and above
93+69+89+97=348
348/4=87 (average)
87=81=168
168/2= 84 (average)
Answer:
72 or higher hope i helped
Step-by-step explanation:
93 +69 +89+97+x/5= 84
348 +x/5=84
84x5=420
420-348=72
Consider the basis of . Let be the linear transformation such thatSet. Compute .Consider the basis B = ([ 0 ] , [ 0 ] , [ 1 ] of R^3. [ 0 ] [ -1 ] [ -2 ][ 1 ] [ -1 ] [ 1 ]Let T:R^3→R^2 be the linear transformation such that T( [0] ) = [1] , T ([ 0 ]) = [3] , T([ 1 ]) = [ 0][0] [1] [ -1] [2] [ -2] [-1][1] [ -1] [ 1 ]Set v = [ -1 ] Compute T(v).[ 1 ][ -2 ]T(v) = [ .... ]
The value of T(v), express v as linear combination in the basis B and the matrix representation of T obtain is T(v) = [4, -4].
To find T(v), we need to express v as a linear combination of the basis vectors of R^3 with respect to B:
v = (-1)[0] + (-1)[0] + (1)[1]
This means that the coordinate vector of v with respect to B is [-1, -1, 1].
To find the matrix representation of T with respect to the standard bases of R^3 and R^2, we can apply T to each of the basis vectors:
T([1, 0, 0]) = [1, 3]
T([0, 1, 0]) = [-1, 1]
T([0, 0, 1]) = [2, -2]
We can arrange the results in a matrix:
[1 -1 2]
[3 1 -2]
The matrix [1 -1 2; 3 1 -2] represents T with respect to the standard bases of R^3 and R^2.
To find T(v), we can multiply the matrix representation of T with the coordinate vector of v with respect to B:
T(v) = [1 -1 2; 3 1 -2] * [-1; -1; 1] = [4; -4]
Therefore, T(v) = [4, -4].
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Starting at middle C, with a frequency of 260 cps, find the frequency of the following notes. a. four half-steps above middle C b. a fourth (five half-steps) above middle C c. two octaves and a fifth (seven half-steps) above middle C d. 20 half-steps above middle C The frequency of four half-steps above middle C iscps. (Round to the nearest integer as needed.) a. b. The frequency of a fourth (five half-steps) above middle C is ops. (Round to the nearest integer as needed.) c. The frequency of two octaves and a fifth (seven half-steps) above middle C is cps. (Round to the nearest integer as needed.) d. The frequency of 20 half-steps above middle C is cps. (Round to the nearest integer as needed.)
To find the frequency of the notes, we can use the formula:
Frequency of a note = Frequency of reference note * \((2^{n/12})\)
where n is the number of half-steps above or below the reference note.
(a) Four half-steps above middle C:
Frequency = \(260 * (2^{4/12})\)
Frequency ≈ 293.665 Hz
(b) A fourth (five half-steps) above middle C:
Frequency = \(260 * (2^{5/12})\)
Frequency ≈ 329.628 Hz
(c) Two octaves and a fifth (seven half-steps) above middle C:
Frequency = \(260 * (2^{7/12})\)
Frequency ≈ 523.251 Hz
(d) Twenty half-steps above middle C:
Frequency = \(260 * (2^{20/12})\)
Frequency ≈ 1648 Hz
Therefore, the frequencies of the notes are:
(a) Approximately 293.665 Hz
(b) Approximately 329.628 Hz
(c) Approximately 523.251 Hz
(d) Approximately 1648 Hz
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Write as an algebraic expression.
1. the sum of m and 8
Answer: m+8 =
Step-by-step explanation:
A fair coin is tossed twice. Calculate the probabilities. (Enter your probabilities as fractions.) (a) Two heads occur, given that the first toss is a head. (b) Both tosses are the same, given that the first toss is a tail. (c) Two heads occur, given that at least one head occurs.
a. The probability of two heads occurring, given that the first toss is a head, is 1/2.
b. The probability that both tosses are the same, given that the first toss is a tail, is 1/2.
c. The total probability of two heads occurring, given that at least one head occurs, is 1/4 + 1/4 = 1/2.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
(a) To calculate the probability of two heads occurring given that the first toss is a head, we only need to consider the second toss. Since the coin is fair, the probability of getting a head on the second toss is also 1/2. Therefore, the probability of two heads occurring, given that the first toss is a head, is 1/2.
(b) If the first toss is a tail, then the second toss can either be a head or a tail. Since the coin is fair, the probability of getting a head on the second toss is 1/2, and the probability of getting a tail on the second toss is also 1/2. Therefore, the probability that both tosses are the same, given that the first toss is a tail, is 1/2.
(c) To calculate the probability of two heads occurring given that at least one head occurs, we need to consider two cases: HH (both tosses are heads) and HT (the first toss is a head and the second toss is a tail).
The probability of HH occurring is 1/2 * 1/2 = 1/4, as each toss is independent and has a probability of 1/2.
The probability of HT occurring is 1/2 * 1/2 = 1/4, as the first toss is a head with a probability of 1/2, and the second toss is a tail with a probability of 1/2.
Therefore, the total probability of two heads occurring, given that at least one head occurs, is 1/4 + 1/4 = 1/2.
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Find the measure of "theta". Round all answers to the nearest tenth.
Answer:
\(\displaystyle \theta \approx 36.4\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ
Opposite Leg = 31
Adjacent Leg = 42
Step 2: Find Angle
Substitute in variables [tangent]: \(\displaystyle tan(\theta) = \frac{31}{42}\)Inverse Trig: \(\displaystyle \theta = tan^{-1}(\frac{31}{42})\)Evaluate: \(\displaystyle \theta = 36.4309\)Round: \(\displaystyle \theta \approx 36.4\)Juan weighs 185 pounds. Water makes up 68% of his body weight. How much does the water in his body weight
The requried water in Juan's body weight is 57.13 kilograms or 117.13 pounds
To find out how much water is in Juan's body weight, we need to multiply his body weight by the percentage of his weight that is water:
Water weight = Body weight × Percentage of body weight that is water
First, we need to convert Juan's weight from pounds to a more convenient unit for the calculation, such as kilograms:
185 pounds = 84.09 kilograms
Now we can calculate the water weight:
Water weight = 84.09 kg x 68/100 = 57.13 kg
Therefore, the water in Juan's body weight is 57.13 kilograms or 117.13 pounds
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madison drew some shapes as shown below. which of the following describes madison’s shapes?
Answer:
what are the following??
Step-by-step explanation:
Two events are ________ if the occurrence of one is related to the probability of the occurrence of the other.
Answer:
Dependent
Step-by-step explanation:
Two events are said to be dependent when the outcome of the first event is related to the other.
When two events, A and B are dependent, the probability of occurrence of A and B is:
P(A and B) = P(A) · P(B|A)
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Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.
A probability-dependent event is an event whose occurrence affects the probabilities of others. Suppose you have 3 red balls and 6 green balls in your pocket. Two balls are drawn one after the other from the bag. A dependent event is an event that depends on what happened before. These events are affected by previously occurring results.In other words, two or more intedependent events are called dependent events. A random change in one event can deviate from another.If two events A and B depend on each other, then the probability of A and B occurring is
P(A and B) = P(A) P(B|A)
Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.
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how to solve??
7k<-35
Answer:
k<-5
Step-by-step explanation:
You divide both sides by 7, but you don't flip the inequality sign because you're dividing by a positive number. Therefore, you get k<-5.
Answer: ✯ ✶ ✺ ✺ ❇︎ ❄︎ ❆
k<-5
Step-by-step explanation:
Just divide -35 by 7 to isolate k!
Divide both sides by 7! Then, we don't flip the inequality sign.
Something my Algebra teacher told me:
"If we multiply or divide by a negative number, we do the "inequality flip."
Hope it helps!
Now PLS mark Brainliest! PLEASE! :)
What are the closest 2 integers to 300
Answer:
17 and 18
Step-by-step explanation:
I'm pretty sure the two integers are 17 and 18
(let me know if I'm wrong)
Find the sum of first 20 terms of the arithmetic series in which 3rd term is 7 and 7th term is 2 more than three times its 3rd term.
Answer:
740
Step-by-step explanation:
Let the AP be a, a+d, a+2d, a+3d, ...
The term of AP is given by:
\(t n =a+(n-1)d\)
We are given that the third term is 7.
\(t 3=7\)
⇒ \(a+(3-1)d=7\)
⇒\(a+2d=7 ---(1)\)
Also, the seventh term is 2 more than three times the third term.
\(t7=3t3+2\)
⇒\(a+ (7-1)d=3(a+(3-1)d)+2\)
⇒\(a+6d=3(a+2d)+2\)
⇒\(a+6d=3a+6d+2\)
⇒\(-2a=2\)
⇒\(a=-1\)
We can put it in (1)
\(a+2d=7\)
⇒\((-1)+2d=7\)
⇒\(2d=8\)
⇒d=4
Now, the Sum of n terms of an AP is given by the formula:
\(sn=\frac{n}{2}(2a+(n-1)d)\)
So, Sum of first 20 terms would be:
\(s 20=\frac{20}{2}(2(-1) +(20-1) x 4)\)
⇒\(s20=10(-2+19 x 4)\)
⇒\(s 20=10 x(-2+76)\)
⇒\(s 20= 10 x 74\)
⇒\(s 20=740\)
Thus, The Sum of first 20 terms of the AP is 740.
A distance of 6.5 × 10−8 is multiplied by 10. The result is written in scientific notation. What is the new exponent?
Answer:
6.5 x 10^(-7)
Step-by-step explanation:
When multiplied by 10, it is like multiplying by 10^1. We can use the exponent rule: 10^(-8) * 10^1 = 10^(-7).
Example:
1.3 x 10^2 multiplied by 10
This is the same as 130 multiplied by 10 which is equal to 1300.
1300 written in scientific notation is 1.3 x 10^3, which adds one more onto the exponent.
Solve for the value of x: x/2 + x/3 = 2x/5 + 3 , also I need a very thorough explanation for this.
Answer:
\(x=\frac{90}{13} .\)
Step-by-step explanation:
\(\frac{x}{2} +\frac{x}{3} =\frac{2x}{5} +3;\)
\(30*(\frac{x}{2} +\frac{x}{3} )=30*(\frac{2x}{5} +3);\)
15x+10x=12x+90; ⇔ 13x=90;
\(x=\frac{90}{13}.\)
Una familia gasta 2/5 de su presupuesto en vivienda y 1/3 en comida. Si en vivienda gasta 5400 euros anuales. ¿Qué cantidad de dinero gasta al año en comida?
A. $ 13.500
B. $ 4.500
C. $ 10.800
D. $ 5400