Answer:
To evaluate -15 + 7 - (-8), we can simplify the expression by first removing the double negative.
-15 + 7 + 8 = 0
Therefore, the answer is 0.
Step-by-step explanation:
The answer is:
0Work/explanation:
Remember the integer rule,
\(\bullet\phantom{4444}\sf{a-(-b)=a+b}\)
Similarly
\(\sf{-15+7-(-8)}\)
\(\sf{-15+15}\)
Simplify fully.
\(\sf{0}\)
Therefore, the answer is 0.Office Innovations LLC is aiming for a net profit of $1,500,000 on its new desk top mini-shredder. The fixed costs for the production are $984,000 while variable costs are $14.50 per unit. The estimated unit sales are 480,000 units. What selling price should the company try in dollars? Round to the nearest hundredth.
As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.
How to calculate the selling price ?We must add the desired net profit of $1,500,000 to the total cost of producing the 480,000 units to determine the selling price.
You can determine the overall cost as follows:
Total cost equals fixed costs plus. (Variable costs per unit x Number of units)
Total expense equals $984,000 plus ($14.50 x 480,000)
Cost in total is $7,224,000.
To reach a net profit of $1,500,000, we must add the following sum to the whole expense:
Selling price is calculated as Total Cost + Desired Net Profit / Units Sold.
($7,224,000 + $1,500,000) / 480,000 = selling price
Price to Sell: $17.55
As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.
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Answer:
$19.68 per unit--------------------------
To determine the selling price, we first need to calculate the total variable cost:
Total variable cost = Cost per unit * unit sales Total variable costs = $14.50 * 480000 = $6960000Now calculate the required revenue:
Revenue = Fixed costs + total variable costs + net profit Revenue = $984000 + $6960000 + $1500000 = $9444000Find the required selling price per unit:
Selling price per unit = Revenue / unit sales Selling price per unit = $9444000 / 480000 = $19.675 ≈ $19.68which ONE DOES NOT BELONG? 5231+4331=9462 or 3696+6936=10 635 or 1842+1614=3456 or 2184+4182=6996
Answer:
5231+4331=946 doesn't belong
Step-by-step explanation:
5231+4331=9562
Explain why the triangles are similar. Then, find the value of x.
t is no more than 2 units from 9
Answer:
11 or 7
Step-by-step explanation:
9 + 2 = 11
9 - 2 = 7
A man pulled a cart filled with stones that had a total mass of 60 kg.
He increased the amount of force used to pull the cart from 60 N to 90 N, what is the new
acceleration of the cart?
The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Formula of force,
F = ma
Given that,
A man pulled a cart filled with stones that had a total mass of 60 kg
He increased the amount of force used to pull the cart from 60 N to 90 N
New acceleration of cart = ?
F = ma
Old acceleration,
60 = 60a
a = 1 m/s²
New acceleration,
90 = 60a
a = 90/60
a = 3/2
a = 1.5 m/s²
Hence, the new acceleration is 1.5 m/s²
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please explain as well 3x+5y=21 4x-2y=-244x−2y=−24
Step-by-step explanation:
3x + 5y = 21 * (-4) •••••• -12x -20y = -84 (a)
4x - 2y = -24 * (3) •••••• 12x -6y = -72 (b)
(a) + (b)
-26y = -156
y = 6
3x + 5 * 6 = 21
3x = 21 - 30
3x = -9
x = -3
2y+5x=4 please help quickly
Answer:
5x+2y=4
Step-by-step explanation:
how long would it tak to go 75 miles if you can go 45 mph
You are asked to lift something that is 15 kg. How many pounds is it? lbs
Answer:
33.0693394
Step-by-step explanation:
1 klio is 2.20462262,just mulipily by 15.
Andrew collects stamps. he collected a total of 150 stamps. is 84% of the stamps he collected were foreign, how many other stamps did he collect?
Answer:
24
Step-by-step explanation:
If 84% of the stamps he collected were foreign, that means he collected 150 * 0.84 = 126 foreign stamps.
So, he collected 150 - 126 = 24 stamps that were not foreign.
Three consecutive integers add up to -36. What are the integers?
Answer:
We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below
Explanation
3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36
Plz mark brainliest if helps Also hope helps:)
The product of two consecutive odd integers is 1155. Determine the integers.
Answer:
Two possibilities --- see below
Step-by-step explanation:
x first number x+2 the next number
x * (x+2) = x^2 + x = 1155
x^2 +2 x - 1155 = 0 Quadratic formula shows
x = 33 then 33, 35
or x = -35 then -35 , - 33
HELP PLEASE
Ben is 9 years younger than his brother Jeff. in 10 years, the sum of their ages will be 67 how old are they now
Let Jeff's age = x and Ben's age = x - 9.
(x + 10) + (x -9 + 10) = 67
x + 10 + x + 1 = 67
2x + 11 = 67
2x = 56
x = 28
x - 9 = 28 - 9 = 19
Jeff is 28 years old, and Ben is 19 years old.
a company claims that their new bottle holds 25% more laundry soap. if their original container held 53 fluid ounces of soap. how much does the new container hold
Answer:
how do star appear to move in night sky
2
The absolute value function, f(x) = x + 21, is shown.
4
3-
Mark this and return
~
--5-4-3-2-11- 1 2 3 4 5
77774
6
-2+
-3
10
If the graph is reflected over the x-axis, what is the
domain of the function?
TIME REMAINING
37:46
O all real numbers
O all real numbers greater than or equal to 0
Oall real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Save and Exit
Next
Submit
The correct option regarding the domain of the reflected absolute value function is given as follows:
All real numbers.
How to obtain the domain of a function?The domain of a function is the set that contains all possible input values for the function.
The absolute value function is defined for all real numbers, and the reflection does not change the domain, hence the domain is all real numbers.
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let $l$ be the line with equation $\dbinom{10}{3} \dbinom{-2}{1}t$. let $\mathbf{v}$ be a vector from the origin to a point on $l$. find the minimum value of $\|\mathbf{v}\|$.
The minimum value of \($\|\mathbf{v}\|$\) is zero.
The minimum value of \($\|\mathbf{v}\|$\) is zero, as it is the distance between the origin and a point on the line. To solve this problem, the formula \($\|\mathbf{v}\| = \sqrt{x^2 + y^2}$\) can be used, where x and y are the coordinates of the point on the line. Since the equation of the line is \($\dbinom{10}{3} \dbinom{-2}{1}t$\), the coordinates of the point on the line can be found by substituting \($t = 0$: $x = 10 \cdot 0 - 2 \cdot 0 = 0$, and $y = 3 \cdot 0 + 1 \cdot 0 = 0$\) . Substituting these values into the formula for \($\|\mathbf{v}\|$ gives $\|\mathbf{v}\| = \sqrt{0^2 + 0^2} = 0$\). Therefore, the minimum value of \($\|\mathbf{v}\|$\) is zero.
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Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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Gabrielle's age is two times Mikhail's age. The sum of their ages is 57. What is Mikhail's age?
Answer:
Mikhail's age is 19
Step-by-step explanation:
Divide 57 by 1/3. This is Mikhails age. This means that Gabrielle is 38. The sum of their ages is 57.
Answer:
19 years old
Step-by-step explanation:
Let x be Mikhail's age, then Gabrielle's age can be represented as 2x. We can use this information to set up an equation:
x+2x=57
Combine like terms
3x=57
Divide both sides by 3
x=19
19 years old
GEOMETRY 40POINTS
TY
Answer:
It's 7.81
Step-by-step explanation:
X is a normally distributed random variable with a mean of 10 and a standard deviation of 4. Find the value of X for which 70.54% of the area under the distribution curve lies to the right of it
Answer should have two decimal places (hundredths).
The value of X for which 70.54% of the area under the normal curve lies to the right of it is 7.88 (rounded to two decimal place)
What is the value of X?To solve this problem, we need to find the value of X such that 70.54% of the area under the normal curve lies to the right of it.
We know that the total area under the normal curve is 1 or 100%. So, if 70.54% of the area lies to the right of X, then 29.46% of the area must lie to the left of X.
We can find the Z-score corresponding to the left tail area of 29.46% using a standard normal distribution table or calculator.
The Z-score is -0.53 (rounded to two decimal places).
Now, we can use the formula for converting a Z-score to an X-value for a normal distribution:
X = μ + Zσ
where;
μ is the mean of the distribution,
σ is the standard deviation, and
Z is the Z-score.
Plugging in the values, we get:
X = 10 + (-0.53)(4)
X = 7.88
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100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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Crossfire Company segments its business into two regions—East and West. The company prepared a contribution format segmented income statement as shown below: Total Company East West Sales $ 910,000 $ 650,000 $ 260,000 Variable expenses 637,000 468,000 169,000 Contribution margin 273,000 182,000 91,000 Traceable fixed expenses 133,000 70,000 63,000 Segment margin 140,000 $ 112,000 $ 28,000 Common fixed expenses 56,000 Net operating income $ 84,000 Required: 1. Compute the companywide break-even point in dollar sales. 2. Compute the break-even point in dollar sales for the East region. 3. Compute the break-even point in dollar sales for the West region. 4. Prepare a new segmented income statement based on the break-even dollar sales that you computed in requirements 2 and 3. Use the same format as shown above. What is Crossfire’s net operating income (loss) in your new segmented income statement? 5. Do you think that Crossfire should allocate its common fixed expenses to the East and West regions when computing the break-even points for each region?
1. Companywide break-even point in dollar sales = $910,000
2. Break-even point in dollar sales for the East region = $391,667
3. Break-even point in dollar sales for the West region = $225,000
How did we get the values?Companywide break-even point in dollar sales: Total fixed expenses / Contribution margin ratio = $189,000 / (273,000/910,000) = $910,000
Break-even point in dollar sales for the East region: Traceable fixed expenses / Contribution margin ratio = $70,000 / (182,000/650,000) = $391,667
Break-even point in dollar sales for the West region: Traceable fixed expenses / Contribution margin ratio = $63,000 / (91,000/260,000) = $225,000
New segmented income statement based on the break-even dollar sales:
Total Company
Sales $910,000
Variable expenses 637,000
Contribution margin 273,000
Traceable fixed expenses 133,000
Segment margin 140,000
Common fixed expenses 56,000
Net operating income $ 84,000
Total East
Sales $391,667
Variable expenses 258,250
Contribution margin 133,417
Traceable fixed expenses 70,000
Segment margin 63,417
Total West
Sales $225,000
Variable expenses 154,500
Contribution margin 70,500
Traceable fixed expenses 63,000
Segment margin 7,500
Net operating income in the new segmented income statement: $84,000
Yes, Crossfire should allocate its common fixed expenses to the East and West regions when computing the break-even points for each region as these expenses benefit both regions and affect the profitability of each region.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Solve the following system of equations.x - 2y = 6y=1/2x-3
Rewrite the second equation as:
1/2x - y = 3
Multiply both sides by 2:
x - 2y = 6
Let:
x - 2y = 6 (1)
x -2y = 6 (2)
As you can see they represent the same line, therefore the system has infinite solutions.
Can someone help me with these two for brilliant please
Answer:
its A
Step-by-step explanation:
Answer:
A. y=5.50x
Step-by-step explanation:
Brainlist plz
Ravi purchased 3 DVDs for $19.99 each. Find the total cost for the DVDs including 5% GST and 6% PST.
Answer:
$66.57
Step-by-step explanation:
Cost of one DVD = $19.99
Cost of 3 DVDs = $19.99*3 =$59.97
Rate of GST = 5%
Amount of GST
= 5%* $59.97
= 0.05*59.97
= $2.9985
Rate of PST = 6%
Amount of PST
= 6%* $59.97
= 0.06*59.97
= $3.5982
Total cost of DVDs
= $59.97 + $2.9985 + $3.5982
= $66.5667
= $66.57
Tell whether each equation is true, false, or open. Explain.
2.) 5x+7 = 17
1.) 85+ (-10) = 95
3.) -8(-2) - 7 = 14 – 5
Answer:
1.) 85+ (-10) = 95 is false.
2.) 5x+7 = 17 is false.
3.) -8(-2) - 7 = 14 – 5 is false.
Step-by-step explanation:
1. is false because since 85 ≠ 95, then 85 + ( - 10) = 95 is false.
2. is false because since 12 ≠ 17, then 5x + 7 = 17 is false.
3. is false because since -15 ≠ 14, then -8( - 2) - 7 = 14–5 is false.
Find the sum of the following finite geometric series.
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.
Step 1: State the hypotheses.
- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).
- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).
Step 2: Compute the value of the test statistic.
To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).
The formula for the z-test statistic is:
z = (X- μ) / (σ / √n)
Where:
X is the sample mean (4.21 cm),
μ is the population mean (4.00 cm),
σ is the population standard deviation (0.83 cm), and
n is the sample size (121).
Plugging in the values, we get:
z = (4.21 - 4.00) / (0.83 / √121)
z = 0.21 / (0.83 / 11)
z = 0.21 / 0.0753
z ≈ 2.79 (rounded to two decimal places)
Step 3: Determine the critical value and make a decision.
With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.
For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).
Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.
Conclusion:
Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.
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