I really need help with this problem thank you.
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $2 kid's meal for his little brother. Charlie has $32. How much can he spend on each sandwich is they are all the same price?
Choose two answers: One for inequality that models this situation and one for the correct answer.
A. Inequality: 6x+2 > ( greater than or equal too ) 32
B. Inequality: 6x+2 < ( less than or equal too ) 32
C. Answer: $13 or less
D. Answer: $5 or less
E. Inequality: 2x+6 < 32
F. Inequality: 2x+6 < ( less than or equal too ) 32
Inequality that models the given situation is given by 6x+2 ≤ 32.
Price of each sandwich is equals to $5 or less.
What is inequality?" Inequality is defined as the algebraic expression which represents the relation between the variables using the sign of inequality < , > , ≤ , ≥."
According to the question,
Given,
Number of sandwiches = 6
Amount spend on kids meal = $2
Total money with Charlie = $32
'x' represents the cost of each sandwich
As per the condition inequality is given by,
[tex]6x+2 \leq 32\\\\\implies 6x \leq 32 - 2\\\\ \implies 6x \leq 30 \\\\ \implies x \leq \frac{30}{6} \\\\\implies x\leq \$5[/tex]
Hence, Option(D) is the correct answer
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A hand tool manufacturer produces a product for which the variable cost is $5.35 per unit and the fixed costs are $16,000. The company sells the product for $8.20 and can sell all that it produces.
In the given scenario, we analyze variable costs, fixed costs, and total costs in a manufacturing context where the business sells a product at a set price and bears specific levels of fixed and variable costs. Average variable cost is obtained by dividing total variable costs by the quantity produced, which impacts the total cost and pricing strategies for the business.
Explanation:The scenario you're describing involves concepts of variable costs, fixed costs, and total costs in the context of a manufacturing business. At zero production, the fixed costs amount to $16,000. These costs do not change regardless of production levels. As production increases, the variable cost, which is $5.35 per unit, is added to the fixed costs. Total cost for any given level of production is the sum of variable and fixed costs. When a company sells the product for $8.20 per unit and can sell all that it produces, it gives us a context to calculate break-even points, profit margins, and other relevant financial metrics.
For example, average variable cost (AVC) is determined by dividing the total variable cost by the quantity of output. If a hypothetical scenario is given where the company produces 80 units, the total variable cost would be 80 units times $5.35, resulting in $428. Therefore, the AVC would be $428/80, which is $5.35 per unit.
As output increases, fixed costs per unit decline because these costs are spread over more units, making the average variable cost a relatively bigger component of the total cost. This principle is crucial for businesses as they plan production and pricing strategies to cover costs and achieve profitability.
Average variable cost cannot be calculated without the quantity of output. The total cost is the sum of fixed costs and variable costs.
Explanation:The subject of this question is and the grade level is
To find the of producing a product, we divide the by the . In this case, the variable cost is $5.35 per unit. To calculate the average variable cost, we need to know the quantity of output. Since the question does not provide the quantity of output, we cannot calculate the average variable cost.
The fixed costs of the hand tool manufacturer are given as $16,000. Fixed costs do not change with the quantity of output. The total cost is the sum of the fixed costs and the variable costs. To calculate the total cost, we would need to know the quantity of output.
Find the area of a circular park whose radius is 4.9 meters?
Answer:
75.4296 meters
Step-by-step explanation:
Use the circle area equation: pi(r)^2 to do 4.9^2 multiplied by pi
13.1 miles in 58 minutes and 23 seconds; 30 yards in 4.8 seconds. Which is faster
1 mile = 1760 yards
13.1 * 1760 = 23056 yards / 58.38 = 394.93 yards per minute
394.93/60 = 6.58 yards per second
30/4.8 = 6.25 yards per second
13.1miles in 58 minutes 23 seconds is faster
Regina has wet weather on about 3/10 of the days in a year. It has wet weather on about four times as many days as it has fog. On what fraction of the days of the year does Regina have fog?
Please answer and show the work how you got the answer.
The fraction of the days of the year Regina have fog will be 438.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, Regina has wet weather on about 3/10 of the days in a year. It has wet weather on about four times as many days as it has fog.
We have to find the fraction of the days of the year Regina have fog,
From the given conditions,
wet weather = 3/10 × days in year
wet weather = 4 × days of fog
Combined both the equation,
3/10 × 365 = 4 × x
x=3×365/10×4
x=438
Thus, the fraction of the days of the year Regina have fog will be 438.
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2) Oliver is determining the number of cats in his math class. Oliver is collecting what kind of data? A) bivariate B) categorical C) qualitative D) quantitative
For $360, a rock-climbing gym offers yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Write an equation to find the number of visits after which the total cost for a member and the total cost for a nonmember are the same. Then solve the equation.
A youth group earned $285 washing cars. The groups expenses were $79. How much profit did the group make washing cars?
Final answer:
The profit is calculated by subtracting the group's expenses from their total earnings, resulting in a profit of $206.
Explanation:
The student's question is about calculating the profit made by a youth group from washing cars. To find the profit, we subtract the group's expenses from their earnings. Here is the calculation:
Total earnings from car washing: $285.
Total expenses: $79.
To find the profit, subtract expenses from earnings: $285 - $79 = $206.
Therefore, the youth group made a profit of $206 from washing cars.
25.2 divided by 4 long divisions
The two shapes have the same area. Work out the perimeter of the rectangle.
Solve for D.
4 - 3d = d - 8
Samuel is saving to buy a watch that costs 169 this is $48 more than 4 times what he saved last month how much did he save last month?
How to label tables with unit rates
math question down below
.04 is 1/10 of what number
Answer:
0.4
Step-by-step explanation:
Let x be 1/10 of 0.04.
1/10 of x would be [tex]\frac{1}{10}x[/tex].
We can represent our given information in an equation as:
[tex]\frac{1}{10}x=0.04[/tex]
Let us solve for x.
[tex]10*\frac{1}{10}x=10*0.04[/tex]
[tex]x=0.4[/tex]
Therefore, 0.04 is 1/10 of 0.4.
Four friends measure the length of a 6-millimeter-long grain of rice. They record their measurements as shown. Andrey: 7 mm, 5 mm, 6 mm, 8 mm Mariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mm Yuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mm Misaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm Whose measurements are the most accurate? Andrey’s Mariya’s Yuto’s Misaki’s
Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm. Hence Option 3 is Correct
To determine whose measurements are the most accurate, we need to compare each friend’s measurements against the correct value of the grain of rice, which is 6 mm. The accuracy of measurements corresponds to how close they are to this true value.
Let's look at each friend's measurements:
Andrey: 7 mm, 5 mm, 6 mm, 8 mmMariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mmYuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mmMisaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mmTo evaluate accuracy, we calculate the deviation of each measurement from 6 mm, then find the mean absolute deviation for each friend:
Andrey: Mean = ( |7-6| + |5-6| + |6-6| + |8-6| ) / 4 = 1.5 mmMariya: Mean = ( |7.41-6| + |8.54-6| + |5.12-6| + |6.23-6| ) / 4 = 1.52 mmYuto: Mean = ( |6.1-6| + |5.9-6| + |6.3-6| + |7.2-6| ) / 4 = 0.625 mmMisaki: Mean = ( |5.843-6| + |6.981-6| + |5.334-6| + |7.632-6| ) / 4 = 0.906 mmHere, Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm.
Yuto's measurements are the most accurate.
Andrey: 7 mm, 5 mm, 6 mm, 8 mm
Mean value: [tex]\frac{7 + 5 + 6 + 8}{4} = 6.5[/tex] mm
Absolute errors: [tex]|7 - 6| = 1[/tex] mm, [tex]|5 - 6| = 1[/tex] mm, [tex]|6 - 6| = 0[/tex] mm, [tex]|8 - 6| = 2[/tex] mm
Average error: [tex]\frac{1 + 1 + 0 + 2}{4} = 1[/tex] mm
Mariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mm
Mean value: [tex]\frac{7.41 + 8.54 + 5.12 + 6.23}{4} \approx 6.825[/tex] mm
Absolute errors: [tex]|7.41 - 6| \approx 1.41[/tex] mm, [tex]|8.54 - 6| \approx 2.54[/tex] mm, [tex]|5.12 - 6| \approx 0.88[/tex] mm, [tex]|6.23 - 6| \approx 0.23[/tex] mm
Average error: [tex]\frac{1.41 + 2.54 + 0.88 + 0.23}{4} \approx 1.265[/tex] mm
Yuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mm
Mean value: [tex]\frac{6.1 + 5.9 + 6.3 + 7.2}{4} \approx 6.375[/tex] mm
Absolute errors: [tex]|6.1 - 6| = 0.1[/tex] mm, [tex]|5.9 - 6| = 0.1[/tex] mm, [tex]|6.3 - 6| = 0.3[/tex] mm, [tex]|7.2 - 6| = 1.2[/tex] mm
Average error: [tex]\frac{0.1 + 0.1 + 0.3 + 1.2}{4} \approx 0.425[/tex] mm
Misaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm
Mean value: [tex]\frac{5.843 + 6.981 + 5.334 + 7.632}{4} \approx 6.448[/tex] mm
Absolute errors: [tex]|5.843 - 6| \approx 0.157[/tex] mm, [tex]|6.981 - 6| \approx 0.981[/tex] mm, [tex]|5.334 - 6| \approx 0.666[/tex] mm, [tex]|7.632 - 6| \approx 1.632[/tex] mm
Average error: [tex]\frac{0.157 + 0.981 + 0.666 + 1.632}{4} \approx 0.859[/tex] mm
Write the following statement as a conditional. "All squares are rectangles."
The statement 'All squares are rectangles' written as a conditional is 'If a shape is a square, then it is a rectangle.' This forms a strict conditional that states the sufficiency of the condition of being a square for the necessity of being a rectangle.
When we are asked to write the statement 'All squares are rectangles' as a conditional, we are forming what is called a strict conditional. This type of conditional states that if the antecedent (the 'if' part) is true, then the consequent (the 'then' part) must also be true without any exceptions. In our example, the antecedent is the condition of being a square, and the consequent is the condition of being a rectangle.
Strict Conditional Example
If a shape is a square, then it is a rectangle. This expresses a clear relationship between two properties: being a square and being a rectangle. This conditional is considered strict because there are no exceptions to the rule; every square is, by definition, a rectangle.
Translate 4 units down, and then reflect over the y-axis. (5, 15) (4, 12) (2, 18)
5 pounds of apples cost $8.20. How much is it for 1 pound?
It will be -12 degrees tonight. The weatherman predicts it will be 25 degrees warmer by noon tomorrow. What will be the temperature be by noon tomorrow?
which is an equation of the line with x-intercept 2 and y-intercept 12
The equation of the line having The x-intercept of the line is 2, The y-intercept of the line is 12, is y = -6x + 12.
What is a line?Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.
A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction.
Given:
The x-intercept of the line is 2,
The y-intercept of the line is 12,
Write the equation of the line as shown below,
y = m x + 12
Here, m is the slope,
At y = 0 we get the x-intercept, so
0 = m × 2 + 12
m = -12 / 2
m = -6
Thus, the equation of the line is y = -6x + 12.
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Name each polygon! Determine if it appears to be a regular or not regular
20 POINTS AND BRAINIEST ANSWER
Mr. Chen goes to the post office to buy small and large boxes. He needs at least 4 small boxes. Altogether, he will buy no more than 15 boxes. The post office has 10 small boxes and 9 large boxes in stock.
The graph shows the feasible region, where x represents the number of small boxes and y represents the number of large boxes.
Which ordered pairs meet all the constraints and make sense in context of the situation?
Select each correct answer.
6,9
7,10
8,6
9,8
The correct answer is
8,6 & 6, 9
Answer:
The correct options are 1 and 3.
Step-by-step explanation:
It is given that x represents the number of small boxes and y represents the number of large boxes.
The post office has 10 small boxes and 9 large boxes in stock.
He needs at least 4 small boxes.
[tex]4\leq x\leq 10[/tex]
He will buy no more than 15 boxes.
[tex]6+9=15\leq 15[/tex]
[tex]8+6=14\leq 15[/tex]
Therefore options 1 and 3 are correct.
[tex]x+y\leq 15[/tex]
[tex]7+10=17>15[/tex]
[tex]9+8>15[/tex]
Therefore options 2 and 4 are incorrect.
Find the difference 34.44 - 8.6=
Which graph represents the inequality y<−1+2x?
Suzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?
El cuadrado de un número disminuido en 9 equivale a 8 veces el exceso
del número sobre 2. Hallar el número.
X : EL NUmerRO DESCONOCIDO
X*2 : X ELEVADO AL CUADRADO
X*2 -9 : EL NUMERO ELEVADOAL CUADRADO Y DISMINUIDO EN 9
Equivale es igual a :
X -2 : EL EXCESO DEL NUMERO SOBRES DOS (se deduce que X es mayor a 2)
8(X-2) : ocho veces el exceso del numero sobre 2
ECUACION
x*2 -9 = 8 (X-2)
X*2 -9=8X-16
X*2 - 8X -9+16=0
X*2 - 8X +7 =0
pOR EL METODO DE ASPA SIMPLE Y COMO ES CUADRATICA X SALE CON DOS VALORES
X= 7 ó X=1
LA RESPUESTA ES X=7 YA QUE DE LA CONDICION SABEMOS QUE X TENE QUE SER mayor que 2
RESPUESTA EL NUMERO ES 7
the bike course is 80 miles long and I have ridden 44 miles of the course. what percentage have avridden?
Alicia wants to cover a section of her wall that is 2 feet wide and 12 feet long with mirrors.Each mirror tile is 2 feet wide and 1.5 feet long.How many mirror tiles does she need to cover that section?
Solve 8w – 3r = 45 for r