Answer:
178 m^2 first question answer by adding area of 2 rectangles,triangle
2nd question answer is x = 18 by using similarity formula
and last one answer is 11 ft which is obtained by finding circumference of wheel pi * Diameter = 3.14*140 and then divided by (3.14*140)/40 cars = 10.99 ft == 11 ft
Step-by-step explanation:
Answer:
All your answers were correct!
Step-by-step explanation:
For the first problem, find the area of each part. The area of the rectangles would be (16m*8m) + (5m*6m) = 128m²+30m² = 158m². Next, tacking on the area of the triangle, then we have 158m² + (8m*5m)/2 = 158m²+20m² = 178m², so the first option is correct. Good job on getting it right!
For the second problem, assuming the parallelograms are similar, then we can set up a proportional equation to find the missing side, x:
12/x = 16/24
12*24 = 16x <-- Cross-Multiply
288 = 16x
18 = x
Looks like you got it correct again, good job!
For the third problem, it helps to first find the circumference of the Ferris wheel, which would be 2πr = 2(3.14)(140ft/2) = 439.6ft approximately. Now, since there are 40 cars, then the circumference can be split into 40 equal parts, so the distance between each one would be 439.6ft/40 = 10.99ft, which is basically 11ft. Hence, you got this one correct too, good job!
Hope the answers and explanations helped!
If you can do this I’ll give a 5 star rating.
Answer:
to big of a blur to see
Step-by-step explanation:
How to solve let g(x) = x2 x − 6 |x − 2| .?
The solutions to the quadratic equation g(x) = 0 are x = 2 and x = 3.
To solve the given function g(x) = x2 x − 6 |x − 2|, we need to find the value of x that makes the function equal to zero. We can do this by splitting the function into two separate cases based on the value of |x - 2|.
Case 1: x - 2 ≥ 0
In this case, |x - 2| = x - 2. So we can rewrite the function as:
g(x) = x2 x − 6 (x - 2)
0 = x2 x − 6 (x - 2)
0 = x3 - 6x + 12x - 12
0 = x3 + 6x - 12
Using the rational root theorem, we can find that x = 2 is a root of this equation. So we can factor the equation as:
0 = (x - 2)(x2 + 8x + 6)
The quadratic factor has no real roots, so the only solution in this case is x = 2.
Case 2: x - 2 < 0
In this case, |x - 2| = -(x - 2) = 2 - x. So we can rewrite the function as:
g(x) = x2 x − 6 (2 - x)
0 = x2 x − 6 (2 - x)
0 = x3 - 2x2 - 6x + 12
Using the rational root theorem, we can find that x = 3 is a root of this equation. So we can factor the equation as:
0 = (x - 3)(x2 + x - 4)
The quadratic factor has no real roots, so the only solution in this case is x = 3.
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Annie wants to make a deposit into her savings account. She is depositing 3 checks, one for $50. 32, another for $324. 89, and finally one for $753. 15. She would like to receive $137. 82 in cash after the deposit. Calculate the amount that she will be depositing into her savings account. A. $990. 54 b. $1,299. 18 c. $1,229. 54 d. $1,091. 18 Please select the best answer from the choices provided A B C D.
Amount, that Annie will be depositing into her savings account after depositing 3 checks and receiving $137. 82 is $990.54.
What does term 'deposit' refers?The term deposit in the banking refers, the total amount of money add on to your bank account as savings.
Annie deposited 3 checks, one for $50. 32, another for $324. 89, and finally one for $753. 15.
The total amount she deposited in the account via check is the sum of all the three check amount. Thus the amount she deposited via check is,
\(P=50.32+324.89+753.15\\P=1128.36\)
The amount she deposited via check is $1128.36.
After depositing the check, Annie wants to receive $137.82. Thus the amount remain in her account after receiving the $137.82 is,
\(P=1128.36-137.82\\P=990.54\)
Thus, the amount that Annie will be depositing into her savings account after depositing 3 checks and receiving $137. 82 is $990.54.
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how many numbers among the second one thousand natural numbers are not multiples of any of the first three odd prime number
The total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.
A natural number is not a multiple of the first three odd prime numbers (3, 5, 7) if and only if it is not divisible by any of them. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 3. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 5. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 7. However, if a number is divisible by 3 and 5, it is also divisible by 15 and we have counted it twice. Similarly, if a number is divisible by 3 and 7, or 5 and 7, or all three, we have counted it thrice, twice and thrice respectively. Hence, the total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.
Therefore, The total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.
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The total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.
A natural number is not a multiple of the first three odd prime numbers (3, 5, 7) if and only if it is not divisible by any of them. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 3. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 5. There are 1000-999=1 number among the second one thousand natural numbers that is not divisible by 7. However, if a number is divisible by 3 and 5, it is also divisible by 15 and we have counted it twice. Similarly, if a number is divisible by 3 and 7, or 5 and 7, or all three, we have counted it thrice, twice and thrice respectively. Hence, the total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.
Therefore, The total number of numbers among the second one thousand natural numbers that are not multiples of any of the first three odd prime number is 1 + 1 + 1 - 1 - 1 + 1 = 2.
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. The Flower Bouquet flower shop charges $1.50 for placing an order and $0.50 for each flower ordered. Which equation could be used to find n,the number of flowers purchased if the total bill was $9. (1 point)
A $9 = (0.50 + 1.50)n
B 0.50n + 1.50 = $9
C $9 = 50n + 1.50
D 0.50 n + 1.50n = $9
The equation that could be used to find the number of flowers purchased if the total bill was $9 is:0.50n + 1.50 = $9.
Since each flower costs $0.50, multiplying the cost per flower by the number of flowers (n) gives the total cost of the flowers then 0.50n represents the cost of the flowers.
and, 1.50 represents the fixed cost for placing the order.
and $9 represents the total bill, which includes the cost of the flowers and the fixed cost.
By adding the cost of the flowers (0.50n) to the fixed cost (1.50), the equation sets the total bill equal to $9 we get the Equation as
0.50n + 1.50 = $9
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If a frozen yogurt has 75 calories in 2 oz, how many are in 8 oz of yogurt?
Answer:
The answer would be 300 calories
Step-by-step explanation:
To find the amount of calories in 8 ounces we need to make the ounce amount the same. Let x equal the number of calories.
75/2=x
To get to 8 ounces we need to multiply the bottom by 4. and what we do to the bottom we do to the top.
75*4/2*4=x
multiply
300/8=x
There are 300 calories in 8 ounces.
Please help!
Worth 20
the Area will be 280 inch².
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The base of triangle = 20inch
The height of triangle = 14inch
Area is = (base * height) = (20*14)
Area = 280 inch²
Hence the Area will be 280inch²
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Solve the open sentence.
-35n+6 57
ons-9 and ns6
n> 9 and ns 7
On-9 and ns1
ons 3 and ns 7
Answer:
-9 ≤n ≤1
Step-by-step explanation:
-3 ≤ n+6 ≤ 7
Subtract 6 from all sides
-3 -6≤ n+6-6 ≤ 7-6
-9 ≤n ≤1
(x2 + 2xy + y2)(x+1)
A) X3 + 2x2y + x2 + y2 +xy2
B) X2 + 2xy + y2
C) x3 + x2 +2x2y +xy2 + y2 + 2xy
D) x2 + y2 + 2xy + x + 1
Please show me how you solved it, I'm struggling with these and need an example to follow off of to complete the assignment so I can understand it better. Thank you!
Answer: x3 + x2 +2x2y +xy2 + y2 + 2xy
what is 3/5 miles and 1/3 hours as a unit rate?
Answer:
try math-way
Step-by-step explanation:
Find the simple interest on $600.00 saved for 2 years 8 months at 5℅ per annum.
Answer:
$80
Step-by-step explanation:
I = Prt
P = 600
r = 5%
t = 2 yrs and 8 mos = 8/3 yrs
I = 600(0.05)(8/3)
I = $80
Answer:
I believe the answer is $80.001.
Step-by-step explanation:
i used a calculator
Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Write an inequality that represents the values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank and solve.
please help me!! this is due very soon
Answer:
Step-by-step explanation:
The required inequality x + m ≤ 510, and the distance is 316 miles.
What is inequality?Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.
Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.
Let,
x miles = distance already traveled
m miles = distance miles can travel with remaining gas
510 = max. miles can travel on a full tank
As per the given question,
The inequality will be written as,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
Apply the subtraction operation, and we get
m ≤ 316
Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.
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under the bounded rationality model of problem solving and decision making:
The statement that best summarizes the bounded rationality model of problem solving and decision making is 'Managers are comfortable making decisions without identifying all options'. Therefore, the correct option is B.
This is because the bounded rationality model recognizes that managers have limitations in their cognitive ability to process all information and alternatives, and therefore they use heuristics and simplified decision-making processes. However, this does not mean that they completely ignore options or do not consider the consequences of their decisions. Instead, they focus on the most relevant information and use their experience and judgment to make the best possible decision given the constraints they face.
Therefore, while option A) is partially correct, it does not capture the essence of the bounded rationality model. Option C) is too idealistic and implies that managers have unlimited time and resources to generate all possible options, which is not realistic. Option D) is not accurate as the bounded rationality model does not rely solely on statistical rules for decision making. Hence, the correct answer is option B.
Note: The question is incomplete. The complete question probably is: Which statement best summarizes the bounded rationality model of problem solving and decision making? A) Managers critically view the world as complex and multivariate. B) Managers are comfortable making decisions without identifying all options. C) Managers generate a wide array of decision options and select the one that meets all decision criteria. D) Managers follow statistical rules for decision making.
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An angle is bisected, forming two new angels. If the original angle had a measure of 14 degree, what is the measure of each new angle
Answer:
The measure of each angle will be 7 degrees. It is because a bisector divides an angle in two equal halves. 14 / 2 = 7
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A.M. the temperature of the tea is 197°F. At 7:15 A.M. the temperature of the tea is 180°F. Alicia will drink the tea when its temperature is 172°F.
Part A
Which of the following shows an exponential cooling equation that models the temperature of the tea?
A. y = 72(0.989)x + 128
B. y = 128(0.989)x + 72
C. y = 200(0.989)x + 72
D. y = 128(0.989)x + 200
Part B
When can Ella drink the tea?
Ella can drink the tea after
7:22
7:18
Answer:
Part A
The most correct option is;
b. y = 128(0.989)x + 72
Part B
Ella can drink the tea after 7:22
Step-by-step explanation:
Here we have the temperature variation with time given in an exponential equation as follows;
Let the temperature at time x (in minutes) = y
Therefore, y = a × mˣ + b
Where:
b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞
When y = 200, x = 0
Therefore. 200 = a × m⁰ + c = a + c
We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F
Hence a = 200 - 72 = 128°F
When y = 197, x = 2 minutes
Therefore, 197 = 128·m² + 72 =
m² = (197 - 72)/128 = 125/128
m = √(125/128) = 0.98821
Hence the exponential equation of cooling is presented in the following equation;
y = 128 × (0.98821)ˣ + 72
Therefore, the most correct option is b. y = 128(0.989)x + 72
Part B
When the temperature is 172°F we have;
172 = 128 × (0.989)ˣ + 72
∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32
log(0.989)ˣ = log(25/32)
x·log(0.989) = log(25/32)
x = log(25/32)/log(0.989) = 22.32 minutes
Hence Ella can drink the tea after 7:22.
In the diagram below. De and Ef are tangent to 0. Which equation could be solved to find y, the measure of DGF? O A. ;(-127) = 53 OB. }(v + 127) = 53 O c. }(y-53) = 127 OD. } (x + 53) = 127
Answer:
A
Step-by-step explanation:
The tangent- tangent angle DEF is half the difference of the measure of the intercepted arcs , that is
\(\frac{1}{2}\) (y - 127) = 53 → A
The intercepted arcs of y is 1/2(y -127) = 53.
What is intercepted arc?
The intercepted arc exists the arc that exists inside the inscribed angle and whose endpoints exist on the angle. The vertex of an inscribed angle can be anywhere on the circle as stretched as its sides intersect the circle to construct an intercepted arc.
Let, DE and EF exist as tangents to O.
The value of y will be evaluated as follows:
For angle created outside of circle by intersection:
Two tangents or two secants or a tangent and a secant, the formula for angle created outside will be:
An angle formed outside = 1/2(Difference of Intercepted Arcs)
An angle formed outside exists ∠DEF = 53°
Intercepted arcs exist y and 127°
Hence, 53 = 1/2(y -127)
Therefore, the correct answer is option C). 1/2(y -127) = 53.
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Write 11/3 as a mixed number
Write 2 4/5 as an improper fraction
Please help!!
Answer:
11 over 3 is 2 and 2/3. 2 4/5 is 14/5
Step-by-step explanation:
When making a fraction a mixed number, divide the numerator by the denominator. What ever number you have left will be ur numerator,and denominator always stays the same. Making fractions improper: multiply denominator by the whole number (2) and then add the numerator to the answer. denominator stays the same.
arge telescopes often have small fields of view. For example, the Hubble Space Telescope’s (HST’s) advanced camera has a field of view that is roughly square and about 0.06 degree on a side.
Calculate the angular area of the HST’s field of view in square degrees.
A. 0.006 Square degrees
B. 0.36 Square degrees
C. 0.0036 Square degrees
D. 0.06 Square degrees
The correct response is C. 0.0036 Square degrees The field of vision of the Hubble Space Telescope is only 0.006 degrees, which is around 100 times less than that of the Micro Observatory telescopes. But it has a 100 times better angular resolution!
Skywatchers can readily view planets with just a modest or medium-sized telescope. How much of our solar system is visible will wow you! Additionally, you don't need a completely dark sky to see all of the planets in our solar system; a telescope can still make Venus, Mars, Jupiter, and Saturn easily visible even when viewed in a city. From $100 to well over $10,000, a telescope can be purchased. In 2022, you can anticipate that a good telescope for visual observing will start around $300 and a telescope capable of deep-sky astrophotography would start around $800. With a 25x telescope, even the tiniest telescope should be able to see Saturn's rings.
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Large telescopes often have small fields of view. For example, the Hubble Space Telescope's (HST's) advanced camera has a field of view that is roughly square and about 0.06 degree on a side. Calculate the angular area of the HST's field of view in square degrees.
A. 0.006 Square degrees
B. 0.36 Square degrees
C. 0.0036 Square degrees
D. 0.06 Square degrees
HELPPP ASAP.
FIND AO
Step-by-step explanation:
\(\frac{9}{12} =\frac{15}{x+15}\)
\(\frac{3}{4} =\frac{15}{x+15}\)
3(x+15)=60
3x+45=60
3x=15
\(\frac{3x}{3} =\frac{15}{3}\\\)
\(x = 5\\\)
or..
\(\frac{9}{12} =\frac{15}{y}\)
\(\frac{3}{4} =\frac{15}{y} \\3y=60\\\frac{3y}{3} =\frac{60}{3} \\y = 20\)
Based on this projection, which of the following is closest to the number of t-shirts Marcus needs to sell during the first month to meet his goal? (100 brainley points plsss help)
Answer:
A. 1,500
Step-by-step explanation:
\(\boxed{\begin{minipage}{7cm}\underline{Sum of the first n terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\ \phantom{ww}$\bullet$ $n$ is the $n$th term.\\\end{minipage}}\)
The given scenario can be modelled as a geometric series.
If Marcus' goal is to sell 15,000 t-shirts during the first 6 months, then:
Sum Sₙ = 15,000n = 6If he projects that the number of t-shirts he sells will increase by 20% each month then the common ratio is:
r = (1 + 0.2) = 1.2Substitute these values into the formula and solve for a:
\(\implies 15000=\dfrac{a(1-1.2^6)}{1-1.2}\)
\(\implies 15000(1-1.2)=a(1-1.2^6)\)
\(\implies a=\dfrac{15000(1-1.2)}{1-1.2^6}\)
\(\implies a=1510.586188\)
Therefore, the approximate number of T-shirts Marcus needs to sell during the first month to meet his goal is 1,500.
Check:
Month 1 = 1511Month 2 = 1511 × 1.2 = 1813Month 3 = 1813 × 1.2 = 2176Month 4 = 2176 × 1.2 = 2611Month 5 = 2611 × 1.2 = 3133Month 6 = 3133 × 1.2 = 3760Total = 1511 + 1813 + 2176 + 2611 + 3133 + 3760 = 15004
Check:
Month 1 = 1500Month 2 = 1500 × 1.2 = 1800Month 3 = 1800 × 1.2 = 2160Month 4 = 2160 × 1.2 = 2592Month 5 = 2592 × 1.2 = 3110Month 6 = 3110 × 1.2 = 3732Total = 1500 + 1800 + 2160 + 2592 + 3110 + 3732 = 14894 ≈ 15000
Can somebody help meeeeeeeewe
Answer:
12.5
Step-by-step explanation:
43 ¾ ÷ 3½ = 12.5
glad to help
Polynomial Regression: Method of Least Squares My Solutions Problem Description: Read Chapter 15, "General Linear Least-Squares and Nonlinear Regression," from Chapra's textbook and watch/review Lecture 11. Using the same approach as was employed to derive Eqs. (14.15) and (14.16), derive the least-squares fit of the following model: y = a1*x + a2*x^2 That Is, determine the coefficients that result in the least-squares fit for a second-order polynomlal with a zero Intercept.
To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.
The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:
SSR = ∑(yi - (a1xi + a2xi^2))^2
To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.
Partial derivative with respect to a1:
∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0
Partial derivative with respect to a2:
∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0
Expanding the above equations:
∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)
∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)
Now, let's solve these equations to find the values of a1 and a2.
From equation (1):
a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)
From equation (2):
a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)
We can express equations (3) and (4) in matrix form as:
| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |
| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |
Solving this system of linear equations will give us the values of a1 and a2.
Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.
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Can somebody plz help solve each questions for what it equals correclty thanks so much :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST !!:DD
the teacher has a small class with only 7 students. the teacher grades their homework and reports scores of: 10, 7, 8, 12, 9, 11, and 13. what is the median?
Answer:
10
Step-by-step explanation:
To find the median in a set of data, organize the data from least to greatest.
Here, our data is the homework scores, those being:
10, 7, 8, 12, 9, 11, 13
Let's organize them in ascending order, like so:
7, 8, 9, 10, 11, 12, 13
The next step in finding the median is figuring out which number is in the middle. Since the amount of data we have is an odd number (7), there will be only one number in the middle.
We can find that the number in the middle is 10.
Thus, the median of the scores is 10.
T/F when sampling with replacement, the standard error depends on the sample size, but not on the size of the population.
True, the standard error depends on the sample size, but not on the size of the population.
What is the standard error?
A statistic's standard error is the standard deviation of its sample distribution or an approximation of that standard deviation. The standard error of the mean is used when the statistic is the sample mean.
We know that ;
Standard error = σ/√n
The given statement is true.
The standard error is the standard deviation of a sample population.
Hence, the standard error depends on the sample size, but not on the size of the population.
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if a parallelogram is a square root of 90 and the base is two square root of five what is the height of the parallelogram
Answer:
c. parallelogram, rectangle, and square
it is not a rhombus for sure... so that ticks
off B and D
its is also a square so that ticks off A
Step-by-step explanation:
A function f(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
f(x)= ?
Answer:
f(x)=-4x+-2
Step-by-step explanation:
Slope intercept form: f(x)=mx+b
m=slope=\(\frac{rise}{run}\)
b=y-intercept=y value when x=0
Luna is buying food for a dinner party. Shrimp costs $8.50 a pound. She needs to spend less than $35 total. Write and solve an inequality to represent the situation. How many pounds of shrimp she can buy? Round to the nearest whole pound.
The inequality that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.
What is inequality?Inequality is a statement that two or more mathematical expressions are unequal.
Inequalities are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).
The cost price of shrimp per pound = $8.50
The total spending budget = $35
Let the number of pounds of shrimp Luna can buy = x
Inequality:8.50x < 35
x = 4
Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.
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you can rent time on computers at the local copy center for a $10 setup charge and an additional $2 for every 5 minutes. how much time can you rent for $25?
You can rent time on computers at the local copy center for 35 minutes with $25.
To find out how much time you can rent for $25 at the local copy center, follow these steps:
1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.
So, you can rent time on computers at the local copy center for 35 minutes with $25.
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Help Help Help!? I don’t get it! It’s due in a few minutes! Please help!
Step-by-step explanation:
60=2x+14
46=2x
x=23