Write an expression that is equivalent to 7 - 314 – 2x) – 10x. Show your work.
Evaluate the expression
12 - 3 2+429,- 4) for y = 3.
Answer:
9,427) y=5
is correct answer
A bicycle store costs $2100 per month to operate. The store pays an average of $70 per bike. The average selling price of each bicycle is $110. How many bicycles must the store sell each month to break even?
Answer:
It would have to be around 52.5 bikes to break even exactly but you cant sell half of a bike so more like 53.
Step-by-step explanation:
Hope this helps.
A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?
Answer:
7.6%
Step-by-step explanation:
First the decrease
(100-12)%=88%
then the increase
(88)(1.05)=92.4%
The total decrease
(100-92.4)% = 7.6%
Hope this helps
What number could replace p below? 1/2 = p/4
Answer:
2
Step-by-step explanation:
Presto Corp. had total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000. Compute the required sales in dollars to break even.
Answer:
$230,000
Step-by-step explanation:
Contribution margin = Sales - Variable costs
=($250,000 - $137,500)
= $112,500
Contribution margin ratio = Contribution margin ÷ Sales
= ($112,500 ÷ $250,000)
= 0.45
Basically
Break-even sales = Fixed expenses ÷ Contribution margin ratio
=($103,500 ÷ 0.45)
= $230,000
The required sales in dollars to break even is $275,000.
Given that, total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000.
What is a total revenue?Total revenue is the total amount of money a company brings in from selling its goods and services. It determines how well a company is bringing in money from its core operations based on demand and price.
The contribution margin ratio = Contribution margin/Sales revenue
= (300,000 - 180,000 = 120,000)/300,000
= 40%
Break-even point in dollars = Fixed cost/Contribution margin ratio
= 110,000/0.40
= $275,000
Therefore, the required sales in dollars to break even is $275,000.
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in tina's stamp collection, 70% of the stamps are canadian and the rest are international. Tina has 500 more canadian stamps than international stamps. how many stamps does she have?
Jesse has a collection of nickels and quarters worth $5.00. She has 40 more nickels then quarters. How many coins of each type does she have?
Answer: Jesse has 50 nickels and 10 quarters
Step-by-step explanation:
set up a system of equation
q is quarters and n is nickels
q+40=n is the first equation
.05n+.25q = 5 or 5n+25q=500
solve by substitution
5(q+40)+25q=500
5q+200+25q=500
30q=300
q=10
substitute back into the original equation
10+40=n
50=n
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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What is 5 8/12 as a mixed number in its simplest form
Answer:
5 2/3
Step-by-step explanation:
Just keep simplifying 8/12 until you end up with 2/3
Find the GCF of both the numerator and denominator and you end up with 2/3
Just to make it clear 8/12 = 2/3
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.
Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.
To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.
Let's start with the first equation:
2 + x = 5
Subtract 2 from both sides:
x = 3
Now let's move on to the second equation:
x + 1 = 4
Subtract 1 from both sides:
x = 3
Notice that we got the same value of x for both equations, so they are equivalent.
Next, let's look at the third equation:
9 + x = 6
Subtract 9 from both sides:
x = -3
Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.
Now, let's move on to the fourth equation:
x + (-4) = 7
Add 4 to both sides:
x = 11
This value of x is also different from the first two equations, so it is not equivalent to them.
Finally, let's look at the fifth equation:
-5 + x = -2
Add 5 to both sides:
x = 3
Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.
So, correct options are A, B and E.
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Complete question is:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
- 5 + x = - 2
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
A city council consiste of 8 democrats and 6 republicans. If a committee of 4 people is selected,find the probability of selecting 2 democrats and 2 republicans
Answer:
Step-by-step explanation:
8C2 * 6C2
============
14C4
8C2 = 8*7/1 * 2 = 28
6C2 = 6*5 / 1*2 = 15
14C4 = 14*13 *12 * 11 / (1 * 2 * 3 * 4) = 1001
28 * 15 / 1001 = .4195
Write the equation of a vertical line that passes through the point (-3,5)?
Step-by-step explanation:
Then to pick a real number constant c, we use the first piece of information, which is that the point must pass through (3,-5). Plugging this point into our general equation, we have 3 = c, thus the equation defining the line is x = 3.
help me ples this is kinda hard ngl
will give brainliest if correct
To beat the school long jump record, John must jump an additional 5 1/4 inches
Calculating the additional distance to beat a long jump recordFrom the given question, we are to determine how farther John must jump in order to break the record
From the given information,
"A high school track team's long jump record is 23 ft 1 3/4 in"
and
"John's best long jump is 22 ft 8 1/2 in"
First, we will convert the distances to inches
NOTE: 1 ft = 12 inches
23 ft 1 3/4 in = 276 + 1 3/4 in = 277 3/4 in
22 ft 8 1/2 in = 264 + 8 1/2 in = 272 1/2 in
Now, to determine how farther John must jump, we will subtract the distances
277 3/4 in - 272 1/2 in = 5 1/4 in
Hence, he must jump 5 1/4 in farther
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100 POINTS!! ASAP - Plss SHOW WORK
Answer:
h ≈ 174.3 m
Step-by-step explanation:
Step 1: Define variables
∅ = 71°
b = 60 meters (horizontal leg of the triangle)
We are solving for height h (vertical leg of the triangle)
Step 2: Use Trig
tan∅ = opposite over adjacent
tan71° = h/60
Step 3: Evaluate
60tan71° = h
h = 174.253 m
h ≈ 174.3 m
Answer:
the height of the building is 174.3 m
Step-by-step explanation:
see attached image
height of building (h) = x tan Ф
where x = 60m
Ф = 71°
plugin values into the formula
h = 60 tan (71)
h = 174.3 m
therefore
the height of the building is 174.3 m
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4
What’s the answer to A and what’s the answer to B
Answer:
joe
Step-by-step explanation:
Help me plz thank you but try to put the right answer
Answer:
Option D is correct.
Step-by-step explanation:
Have a nice day. ;-)
Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4
Answer:
88.89%
Step-by-step explanation:
Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4
The calculated minimum percentage value of quiz scores between
First step is to calculate the lower k value using this formula
k=(x1−m)/s
Where:
x1 represent first random value 4.8
x2 represent second random value 8.4
m represent mean 6.6
s represent standard deviation 0.6
Let plug in the formula
k=(4.8−6.6)/0.6
k=−1.8/0.6
k=−3
Second step is to calculate the upper k value
k=(x2−m)/s
k=(8.4−6.6)/0.6
k=1.8/0.6
k=3
Now let calculate the minimum percentage
Using this formula
Minimum percentage=1−1/k^2
Let plug in the formula
Minimum percentage=1−1/3^2
Minimum percentage=1−1/9
Minimum percentage=1−0.1111
Minimum percentage=0.8889*100
Minimum percentage=88.89%
Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%
Answer:
75%
Step-by-step explanation:
5.2−6.40.6=−2 and 7.6−6.40.6=2.
This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.
According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.
Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.
What is the slope and the y-intercept of the following linear equation?
Answer:
wish i coul d help
Step-by-step explanation:
The product of two positive integers is 20. Find the two numbers
Answer:
1 and 20 or 2 and 10 or 4 and 5
Step-by-step explanation:
the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20
Then
20 = 1 × 20
= 2 × 10
= 4 × 5
Please help with this math question!
Answer:
\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)
Find the surface area of the following prism.
Answer:
4224
Step-by-step explanation:
SA=(24×16:2×2)+(20×2×60)+(24×60)
What is the converse of t⇒r?
Select the correct response:
A: r ⇒ t
B: ~t ⇒ ~r
C: ~r ⇒ ~t
Answer:
Step-by-step explanation:
b
Find the x need help a sap
Answer:
x = 16
Step-by-step explanation:
Write the equation
(8x + 4) + (3x) = 180
Remove the parentheses
8x + 4 + 3x = 180
Collect like terms
11x + 4 = 180
Move the constant to the right hand side and change its sign
11x = 180 - 4
Subtract
11x = 176
Divide both sides of the equation by 11 to get your final answer
x = 16
Hope this helped!
Answer:
the answer would be x=16
Hannah placed 10 cups outside during a rainstorm. After one hour she measured, in inches, the amount of water in each cup. The table shows the
measurements.
Cup Number 1 2 3 4 5 6 7 8 9 10
Inches
3 1 31 SS!
82248 22 882
Which line plot correctly displays the data from the table?
Amount of Water
Amount of Water
X
OA
Inches
Inches
Amount of Water
Amount of Water
OB.
Х
inches
inches
A line plot which correctly displays the data from the table is: graph B.
What is a line plot?A line plot simply refers to a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data displayed in the table above, we can deduce the following points:
Cup size in inches (⅜) = 2.Cup size in inches (½) = 5.Cup size in inches (⅝) = 2.Cup size in inches (¾) = 1.In conclusion, graph B is a line plot which correctly displays the data from the table above.
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Evaluate the expression below. 1/6+3/8=
Answer:0.55
Step-by-step explanation:
round too the nearest tens!
Answer:
13/24
Step-by-step explanation:
Find a common denominator
-Multiply both the numerator and denominator by 4
1/6 is the same as 4/24
-Multiply both the numerator and denominator by
3/8 is the same as 9/24
4/24 + 9/24 = 13/2
How do I solve this
Answer:
i dont know
Step-by-step explanation:
Please Answer ASAP! Will give Brainliest to person who is fast and right! Thxx
Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below. He also knows that E is 50 m from the side AB and 30 m from the side BC. Determine the length of AE, the length of DE, and the perimeter of pentagon ABCDE.
Answer: AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," this must be a concave pentagon.
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE: \(110^{2}+50^{2}=14600\) \(\sqrt{14600}=120.8304597\)
DE: \(100^{2}+110^{2}=22100\) \(\sqrt{22100}=148.6606875\)
Add those lengths and the remaining sides of the "rectangle shown below" to calculate the perimeter.
280+150+120.83+148.66= 699.49