Answer:
[tex]w=-1[/tex].
Step-by-step explanation:
We have been given an equation [tex]2w-5(w+1)=3w+1[/tex]. We are asked the equation for w.
Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:
[tex]2w-5w-5=3w+1[/tex]
[tex]-3w-5=3w+1[/tex]
Subtract 3w from both sides:
[tex]-3w-3w-5=3w-3w+1[/tex]
[tex]-3w-3w-5=1[/tex]
Combine like terms:
[tex]-6w-5=1[/tex]
Add 5 on both sides:
[tex]-6w-5+5=1+5[/tex]
[tex]-6w=6[/tex]
Divide both sides by -6:
[tex]\frac{-6w}{-6}=\frac{6}{-6}[/tex]
[tex]w=-1[/tex]
Therefore, our required equation would be [tex]w=-1[/tex].
Find the difference 34.44 - 8.6=
3918 divide 92 long divided
If tan 0 = 12/5 and cos 0 = - 5/13 then what is sin 0
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
5 pounds of apples cost $8.20. How much is it for 1 pound?
You’ve just been trick-or-treating and snagged a big bar of chocolate! The bar is eight pieces high and nine pieces long. Can you work out how many times you have to break the bar so that it is separated into individual squares?
71
49
63
72
The bar of chocolate should be broken [tex]\boxed{\bf 71\text{\bf\ times}}[/tex], so that it is separated into individual squares.
Further explanation:
Given that the bar of chocolate is eight pieces high and nine pieces long.
First break the chocolate horizontally [tex]7\text{ times}[/tex] since, it is eight pieces high.
Now, the broken piece of chocolate is divided into nine single strips of eight pieces each.
Each nine single strip is broken [tex]8\text{ times}[/tex].
Therefore, total number of times the chocolate bar is broken is calculated as follows:
[tex]\begin{aligned}\text{Total number of times}&=7+(8\cdot 8)\\&=7+64\\&=71\end{aliogned}[/tex]
Thus, [tex]71\text{ times}[/tex] the bar of chocolate is broken so that it is separated into individual squares.
Now, break the chocolate vertically [tex]8\text{ times}[/tex] since, it is nine pieces long.
Now, the broken piece of chocolate is divided into nine single strips of nine pieces each.
Each nine single strip is broken [tex]7\text{ times}[/tex].
Therefore, total number of times the chocolate bar is broken is calculated as follows:
[tex]\begin{aligned}\text{Total number of times}&=8+(9\cdot 7)\\&=8+63\\&=71\end{aliogned}[/tex]
Thus, [tex]71\text{ times}[/tex] the bar of chocolate is broken so that it is separated into individual squares.
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Counting
Keywords: Trick, treating, snagged, big bar, chocolate, eight pieces, nine pieces, long, high, break, separated, individual, squares, 71, 72, 49, 56.
plz answer my question. I will make it brainliest answer. have to answer both questions.
Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?
If h represents the hourly fee, which equation models this problem?
h + 43 = 64
h = 64 + 43
7h + 43 = 64
7h + 7 = 64
What was the hourly fee for the rototiller?
$2
$3
$4
$5
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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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.
How to label tables with unit rates
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.
The two shapes have the same area. Work out the perimeter of the rectangle.
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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Solve for D.
4 - 3d = d - 8
25.2 divided by 4 long divisions
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
g=ca-b. what is a??????!!!!????
Name each polygon! Determine if it appears to be a regular or not regular
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
A train traveling south leaves the station at a constant rate of 62 kilometers per hour. A second train traveling north leaves the station at the same time traveling at a constant rate of 68 kilometers per hour. How many hours after the trains leave will they be 455 kilometers apart?
A 3.5
B.
4.5
C.
5.5
D.
6.5
Answer: 3.5 hours
Step-by-step explanation:
68 + 62 = 130
455 / 130 = 3.5
Hope this helps you! :)
Answer:
3.5
Step-by-step explanation:
I got it right on the test
Solve 8w – 3r = 45 for r
Translate 4 units down, and then reflect over the y-axis. (5, 15) (4, 12) (2, 18)
Suzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?
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.
A company finds that on average, they use 43 minutes for each meeting.
An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings.
If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information?
A. 10
B. 40
C. 50
D. 200
E. 210
F. 220
G. 250
Answer:
F. 220
Step-by-step explanation:
Showing the time for 1 to 5 meetings means we would go from 43(1) = 43 to 43(5) = 215 for the y-axis (time in minutes).
We are counting by 10s. The two closest tens to 215 are 210 and 220. However, in order to show 215 on the graph, we must go up to 220.
Answer: 220
Step-by-step explanation:
A school library has 260 DVDs in its collection. Given that 45% of the DVDs are about science and 40% or about history how many of the DVDs are about other subjects?
39 DVDs are about other subjects.
To determine the number of DVDs about other subjects in the school library, we must first calculate the number of DVDs dedicated to science and history. We start by finding 45% of 260 DVDs for science and 40% of 260 DVDs for history.
Science DVDs: 45% of 260 = 0.45 * 260 = 117
History DVDs: 40% of 260 = 0.40 * 260 = 104
Adding the numbers of science and history DVDs gives us the total number of DVDs not about other subjects:
117 (Science) + 104 (History) = 221
To find the number about other subjects, we subtract the total number of science and history DVDs from the total collection:
260 (Total) - 221 (Science and History) = 39 DVDs about other subjects.
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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Make a conjecture about the relationship between a and b if ab=1
Answer:
a and b are reciprocals
Step-by-step explanation:
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
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.