Ms. Romero can buy up to 49 sheets of paper.
To determine the number of sheets of paper \( x \) that Ms. Romero can buy, we start with the inequality:
[tex]\[ 30 - 0.29x \geq 15.75 \][/tex]
First, isolate the term involving \( x \) by subtracting 15.75 from both sides:
[tex]\[ 30 - 15.75 \geq 0.29x \][/tex]
Simplify the left side:
[tex]\[ 14.25 \geq 0.29x \][/tex]
Next, solve for \( x \) by dividing both sides by 0.29:
[tex]\[ \frac{14.25}{0.29} \geq x \][/tex]
Calculate the value:
[tex]\[ x \leq \frac{14.25}{0.29} \]\[ x \leq 49.13793103448276 \][/tex]
Since \( x \) must be a whole number, we take the greatest integer less than or equal to 49.13793103448276, which is 49. Therefore, the maximum number of sheets of paper she can buy is:
[tex]\[ x = 49 \][/tex]
Thus, Ms. Romero can buy up to 49 sheets of paper.
Distance between New York and San Francisco is 2539.79 MI a train travels at an average speed of 90 miles per hour what equation shows the relationship between distance traveled (Dl speed (s) and time taken (t)
496 rounded to the nearest 10 is 500 true or false
Lee associates borrowed $60,000. The company plans to set up a sinking fund that will pay back the loan at the end of 12 years. Assuming a rate of 8% compounded semiannually, the amount to be paid into the fund each period is?
The width of a rectangle is 7 inches. Its length is 10 inches. What is the ratio of its width to its length?\
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?
when using fraction strips how do you know that two fractions are equivalent
In microeconomics, price helps determine both quantity supplied and quantity demanded. Which other factors also help determine each? Quantity supplied is determined by production costs, and quantity demanded is determined by desire for the product. Quantity supplied is determined by production costs, and quantity demanded is determined by producer behavior. Quantity supplied is determined by consumer behavior, and quantity demanded is determined by aggregate demand. Quantity supplied is determined by producer behavior, and quantity demanded is determined by desire for the product
Answer :- First option is correct.
Microeconomics is the study of psychology of individuals at small scale.
In microeconomics, price of goods helps to determine the quantity supplied and the quantity demanded.
Quantity demanded is determined by
1. Desire of any good 2. Willingness to buy that good 3.Ability to buy a good
Other than that quantity supplied is determined by
1.Production cost [supply can increase with decrease in cost of production]
2. Productivity [supply can increase with increase in number of workers or hard working workers]
3.Technology[supply can increase with increase in the use of new technology related to production]
4.Govt regulation [it can either restrict or advertise the goods that can either increase or decrease the supply of that good respectively.]
5.Taxes and subsidies [implication of taxes can decrease the supply but by implication of subsidies supply can increase]etc.
So, Ist option is correct that the quantity supplied is determined by production cost and quantity demanded is determined by desire for the product.
Select the correct answer from each drop-down menu.
ABCD is a parallelogram.
M
M
M
Answer:
m∠x = 63°
m∠y =45°
m∠z = 72°
I hope this helps! :)
Answer:
Step-by-step explanation:
It is given that ABCD is a parallelogram, thus by using the properties of parallelogram, we have
∠A=∠C (Opposite angles of parallelogram are equal)
⇒∠x=63°
Thus, the measure of angle A that is x is 63°.
Now, ∠ABC+∠BCD=180°(Corresponding angles of parallelogram)
⇒∠ABD+∠DBC+63=180
⇒∠DBC=180-135
⇒∠DBC=45°
Thus, y=∠DBC=45° (Alternate angles)
and z=∠DBA=72° (Alternate angles)
Hence, the measure of angle x, y and z are 63°, 45° and 72° respectively.
20 PTS! Need help! Please explain! The amount of money a worker makes varies directly with the hourly rate of pay. Worker A earns $168 for an 8 hour period. Worker B earns the same hourly rate as Worker A, but works for only 6 hours. What does Worker B earn?
A) $1008
B) $126
C) $1344
D) $160
what else would need to be congruent to show that ABC~XYZ by ASA? given: AB~XY, A~X,
Answer:
Two triangles are said to be congruent by ASA congrency criterion if the two angles and side between them are equal or congruent.
Refer to the image attached.
To prove: [tex]\Delta ABC \sim \Delta XYZ[/tex]
Given: [tex]AB \cong XY, \angle A \cong \angle X[/tex]
Now, we can observe that the side AB is between the angles A and B and the side XY is between the angles X and Y.
Since it is given that [tex]AB \cong XY, \angle A \cong \angle X[/tex], so the condition [tex]\angle B \cong \angle Y[/tex] should be known to shows these triangles congruent.
is 20 a perfect square
At a certain time of day the angle of elevation of the sun is 30 a tree has a shadow that is 25 feet long find the tree to the nearest foot
Please help with 34 ASAP!!
What is the arc length of a circle (in meters) with a radius of 2 meters that has an arc angle of 90°? A 2π B π C 2 D 4π
Prove that the square of an odd number is of the form 8k+1 g
Show that n is odd →∃m∈ℤ,n2=8m+1
Let k be an integer so that n=2k+1. Then n2=(2k+1)2=4k2+4k+1=2(2k2+2k)+1.
But this isn't equal to 8m+1, so can I change that into 4(2m)+1?
Can you please explain this
Four hundred grocery store shoppers were surveyed to determine their favorite fruit. How many shoppers prefer bananas? 32%bananas
Answer:
128 Shoppers prefer bananas.
Step-by-step explanation:
In the question it is given that 400 shoppers were surveyed to determine their favorite fruit.
Among all of them 32% people like bananas.
So to find out how many people prefer bananas, we just calculate 32% of 400.
32% of 400
[tex]\frac{32}{100}[/tex] × 400
0.32 × 400 = 128
128 Shoppers prefer bananas.
3 over 5 is 30% of what number?
-4x-2y=-12 and 4x+8y=-24 using addition/eliminatin method
The stadium incurs a number of costs to accommodate fans. If the stadium pays $14,000 for labor, $45,000 for leasing parking space, and $57,000 to provide busing to and from the parking areas, what are the percentage costs for labor, leasing, and busing as a percentage of total costs? (Round to the nearest percent.)
Answer:
Percentage of amount paid for labor, parking space and busing are 12%, 39% and 49% respectively.
Step-by-step explanation:
The stadium pays the amount for labor = $14000
Amount paid for leasing a parking space = $45000
and to provide busing to and from the parking space = $57000
Total amount paid = $14000 + $45000 + $57000
= $116000
Percentage of amount paid for labor = [tex]\frac{\text{Amount paid for labor}}{\text{Total amount paid}}\times 100[/tex]
= [tex]\frac{14000}{116000}\times 100[/tex]
=12.06
≈ 12%
Percentage of amount paid for parking space
= [tex]\frac{\text{Amount paid for parking space}}{\text{Total amount paid}}\times 100[/tex]
= [tex]\frac{45000}{116000}\times 100[/tex]
= 38.79%
≈ 39%
Percentage of amount paid for busing = [tex]\frac{\text{Amount paid for busing}}{\text{Total amount paid}}\times 100[/tex]
= [tex]\frac{57000}{116000}\times 100[/tex]
= 49.14%
≈ 49%
What number lies between 7x8/10=
Compare and contrast y=square root of x and f(x)=square root of x
Answer:
Step-by-step explanation:
Given are two functions
[tex]y=\sqrt{x} :\\f(x) =\sqrt{x}[/tex]
We have to compare and contrast these two functions.
On comparing we have both are the same.
FIrst one is written as y = form while second function is written as function of x
Sometimes we use y and sometimes we use f(x) in practice.
In both the cases, x is the independent variable and normally marked on x axis and y or f(x) the dependent variable marked on vertical y axis.
If the correlation between height and weight of a large group of people is 0.75, find the coefficient of determination (as a percent) and explain what it means. assume that height is the predictor and weight is the response, and assume that the association between height and weight is linear.
Answer:
Step-by-step explanation:
Given that the correlation between height and weight of a large group of people is 0.75
Coefficient of determination = [tex]R^2 =0.75^2 =0.5625=56.25%[/tex]
Coefficient of determination gives us the strength of association between two variables and how much the variability of the response variable i.e. weight is due to the variability of the predictor variable i.e. height
When there is a linear association correlation coefficient square gives us the reason for the variability and percentage due to the variability in predictor variable
Find the missing dimension of each triangle described Height: 7 in., area: 21 in2
To find the missing dimension of a triangle given the height and area, we can use the formula for the area of a triangle: Area = 1/2 * base * height. We're given the height as 7 inches and the area as 21 square inches. Plugging these values into the formula, we can solve for the base using algebraic manipulation.
To find the missing dimension of a triangle given the height and area, we can use the formula for the area of a triangle: Area = 1/2 * base * height. We're given the height as 7 inches and the area as 21 square inches. Plugging these values into the formula, we get: 21 = 1/2 * base * 7. Solving for the base, we can multiply both sides of the equation by 2 and divide by 7 to get the base: base = (21 * 2) / 7 = 6 inches.
Learn more about Finding missing dimension of a triangle here:
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Final answer:
By using the area formula for a triangle, A = (b × h) / 2, with the provided height of 7 inches and area of 21 square inches, the base is calculated to be 6 inches.
Explanation:
To find the missing dimension of a triangle, given the height and area, we can use the formula for the area of a triangle A = (b × h) / 2, where A is the area, b is the base, and h is the height. Given that the height h is 7 inches and the area A is 21 square inches, we can rearrange the formula to solve for the base b:
Area = (base × height) / 2 → 21 = (b × 7) / 2 → b = (21 × 2) / 7 → b = 6
The missing dimension, the base of the triangle, is 6 inches, provided height of 7 inches and area of 21 square inches.
Buying something in order to increase social status is known as _____ consumption.
1 Conspicuous
2 Emotional
3 Research
4 Wise
1) Conspicous Consumption
Select three rations that are equivalent to 7: 6.
pete's dog weighed 30 pounds . then lost 16% of its weight , how much weight did the dog loose
Help with this math question please had to post picture side ways for it to fit thanks
The table represents a linear function. Which is the slope of the function?
From the table we have the points (-4, -2) and (-2, -10).
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{-10-(-2)}{-2-(-4)}=\dfrac{-10+2}{-2+4}=\dfrac{-8}{2}=-4[/tex]
Answer: The slope = -4.The slope of the linear function is -4. The correct option is B. -4.
How to find the slope of a function?The slope of a function is the rate of change of the dependent variable with respect to the change of the independent variables.
Therefore, the slope is change in the y variable with respect to the change in the x variable.
Let's find the slope of the linear function as follows:
slope = y₂ - y₁ / x₂ - x₁
Therefore,
slope = m = -10 + 2 / -2 + 4
slope = - 8 / 2'
Therefore,
slope = -4
The correct option is B. -4 .
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x3 − 6x2 − 7x + 60 = 0