Answer:
The number would be 16.
Step-by-step explanation:
If you have a specific number of apples, and then pluck 3 more, you have 19. So this can be modeled as 19-3, which gives you the original
Answer: 16
steps: 19-3=16
Hope this helps u :)
change 0.03 to mixed number
Answer: 3/100
Step-by-step explanation: Using the place value chart, we can see that 0.03 means 3 hundredths so 0.03 can be written as the fraction 3/100.
3/100 is a proper fraction so it can't be changed to a mixed number.
What is Y/2 +3.2=5.06
Answer:
y=3.72
Step-by-step explanation:
y/2+3.2=5.06
y/2=5.06-3.2
y/2=1.86
y=1.86*2
y=3.72
Answer:
y= 3.72
Step-by-step explanation:
reverse the operations
5.06-3.2= 1.86
1.86*2= 3.72
y=3.72
There are 325 rows of 9 chairs in the theater. There are 102 chairs in the the balcony. About how many chairs are there?
The total number of chairs there are in the theater and balcony is; 3027 chairs.
According to the question;
There are 325 rows in the theater.Each row contains 9 chairs.Additionally, there are 102 chairs in the balcony.In essence, The number of chairs in the theater is;
= 325 × 9= 2925 chairs.Additionally, there are 102 chairs in the balcony;
In essence, the total number of chairs is;
= 2925 + 102= 3027 chairs.Read more:
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Final answer:
To find the total number of chairs in the theater, multiply the number of rows by chairs per row and add the chairs in the balcony, resulting in approximately 3027 chairs.
Explanation:
To calculate how many chairs there are in total, we need to add the number of chairs in the rows to the number of chairs in the balcony.
First, multiply the number of rows by the number of chairs per row to find the total number of chairs in the rows: 325 rows × 9 chairs per row = 2925 chairs.
Then, add the number of chairs in the balcony to this total: 2925 chairs + 102 chairs in the balcony = 3027 chairs. So, there are approximately 3027 chairs in the theater.
what is the answer/ how do i answer
25 = x + 7
Answer:
answer should be x = 18.
Step-by-step explanation:
25 = x + 7
we can also write it as
x + 7 = 25
as we see 7 is positive(+) on LHS( left hand side) so if we move it to RHS( right hand side) the sign will change so the equation will be:
x = 25 - 7
now just simplify it:
x = 18.
Please help me the brainliest.
Answer:
A² - B² = 0 (Proved).
Step-by-step explanation:
Given that
[tex]A = \frac{\cot \theta + \csc \theta - 1}{\cot \theta - \csc \theta + 1}[/tex]
⇒[tex]A = \frac{\csc \theta + \cot \theta - (\csc^{2} \theta - \cot^{2} \theta)}{\cot \theta - \csc \theta + 1}[/tex]
{Since, we know the identity as [tex]1 = \csc^{2} \theta - \cot^{2} \theta[/tex]}
⇒ [tex]A = \frac{\csc \theta + \cot \theta - (\csc \theta + \cot \theta)\times (\csc \theta - \cot \theta)}{\cot \theta - \csc \theta + 1}[/tex]
⇒ [tex]A = \frac{(\csc \theta + \cot \theta) (\cot \theta - \csc \theta + 1)}{\cot \theta - \csc \theta + 1}[/tex]
⇒ [tex]A = \csc \theta + \cot \theta[/tex]
Again, given that [tex]B = \csc \theta + \cot \theta[/tex]
So, A = B . ⇒ (A - B) = 0.
Hence, A² - B² = (A + B)(A - B) = 0 (Proved)
Solve this system of linear equations. Separate
the x- and y-values with a comma.
7x - 3y = 37
14x + 11y = 23
Enter the correct answer.
Answer:
The solution for the given system of equations is ( 4,-3).
Step-by-step explanation:
Here, the given set of equations is:
7 x - 3 y = 37 .... (1)
14 x + 11 y = 23 .... (2)
Now, we solve this equation by ELIMINATION METHOD,
Multiply the first given equation with ( -2), we get:
(-2) [7 x - 3 y = 37 ] ⇒ -14 x + 6 y = -74 .... (3)
Adding equation (2) and (3), we get:
14 x + 11 y + -14 x + 6 y = 23 -74
or, 17 y = - 51
or, y = -51/17 = 3
⇒ y = -3
Now, out the value of y in the given second equation,we get:
14 x + 11 (-3) = 23
or, 14 x = 23 + 33 = 56
or, x = 56/14 = 4
⇒ x = 4
Hence, the solution for the given system of equations is ( 4,-3).
10. Which of the following functions is the inverse of the function {(1,2).(3,4).(6,8)) ? (1 point)
A. {(6,8).(3,4),(1,2))
B. {(2,1),(4,3).(6,8)}
C. {(2,1),(4,3), (8,6)
D. {(2,1),(3,4).(8.6)]
Answer:
C
Step-by-step explanation:
Inverse of function(x,y) is equal to (y,x)
Which company offers the best deal?
Rent-All, A-1 Rentals, or Car Town
Answer:
A-1 Rentals
hopefully that helps!!
Answer:
rent all
Step-by-step explanation:
A cylinder and a cone have the same volume. the cylinder has a radius of 2 inches and a height of 3 inches. the cone has a radius of 3 inches. What is the height of the come?
Answer:h = y^2 / 27
Step-by-step explanation:
Volume of a cylinder = pi*(xx)^2*yy
= x^4*pi*yy
Volume of a cone = 1/3*pi*(9x^2)^2*h
= 27pi*x^4*h
x^4*pi*y^2 = 27pi*x^4*h
h = y^2 / 27
Answer:
4 inches
Step-by-step explanation:
The volume of the cylinder is:
V = π r² h
V = π (2)² (3)
V = 12π
The cone has the same volume, so its height is:
V = ⅓ π r² h
12π = ⅓ π (3)² h
12π = 3π h
h = 4
The height of the cone is 4 inches.
What is the slope of a line perpendicular to the line -3x + 6y = -15?
Answer:
slope of a line perpendicular to the line -3x + 6y = -15 is -2
Step-by-step explanation:
-3x + 6y = 15
solve for y,
y = 1/2 x + 15/6
slope of a line perpendicular is the "negative reciprocal" of the slope of the original line, thus
y = -2 x + b
What is the answer to the blank?
5% x __ = 3.5
Answer:
5/100• X = 3.5
X=3.5÷5/100
X=70
The answer is 5% x 70 = 3.5
To solve for the blank in the equation 5% x __ = 3.5, we need to find a number that, when multiplied by 5%, equals 3.5.
First, express 5% as a decimal: 5% = 0.05.
Set up the equation:
0.05 x x = 3.5
Next, solve for x by dividing both sides by 0.05:
x = 3.5 / 0.05
x = 70
Thus, the blank should be filled with 70.
Height is proportional to foot length. A person whose foot length is 10 inches is 67 inches tall. A human-like creature has a foot length of 35 inches. Use a proportion to find the height of the creature.
Answer:
the creature 268 inches tall
Step-by-step explanation:
set it up and cross multiply!
10 = 40
67 X
67*40=10*X
2680=10X
then divide 10 from both sides:
so X=268
What is perform multiplication with -3(-3+2)-6
Answer:
-3
Step-by-step explanation:
We must do the subtraction -3 + 2 BEFORE anything else, because any operations inside parenthesis always take first priority.
We end up with:
-3(-1) - 6.
We must multiply before addiing or subtracting. Therefore, multiply (-3)(-1), obtaining 3 and complete result 3 - 6.
Finally do that subtraction; the result is -3.
What is the equation of a line in slope intercept form that passes through the points (-4,3) and (-2,4)
First find slope.
slope=change in y/change in x (y2-y1/x2-x1)
slope=4-3/-2-(-4)=1/2
Now we need to find the x intercept.
y=mx+b
3=1/2(-4)+b
b=5
So the equation is y=1/2x+5.
The difference between two numbers is 53. Five times the smaller is equal to 3 more than larger. What are the numbers?
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 feet. Find the length of the ladder if the length is 4 feet more than its distance from the wall.
Answer:
I believe the answer is 48
Step-by-step explanation:
When 4 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution.
Answer:
4
Step-by-step explanation:
The square of 4 is 16, or 4 times 4.
When you subtract 4 from it, it becomes 3 times 4.
Therefore, 4 is the answer.
Answer:
The positive solution is 4.
Step-by-step explanation:
x^2-4=3x
x^2-3x-4=0
factor out the trinomial
(x-4)(x+1)=0
zero property,
x-4=0, x+1=0
x=0+4=4
x=0-1=-1
-------------
x=4, -1
Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate approximately $4,200 per year. Write and solve a linear equation to find how many years until the car is worth $5,135
Answer:
The truck is worth $5,135 when 9 years have passed
Step-by-step explanation:
Initial value of Alex's new truck: $42,935
Loss of value per year: $4,200
If n years passed, the truck would have lost
[tex]4,200n\ dollars[/tex]
The current value of the truck will be
[tex]V(n)=42,935-4,200n[/tex]
We want to know the value of n at which V is 5,135
[tex]5,135=42,935-4,200n[/tex]
Solving for n
[tex]n=\frac{42,935-5,135}{4,200}[/tex]
n=9 years
The truck will depreciate to a value of $5,135 in approximately 9 years, given a yearly depreciation rate of $4,200.
Explanation:This problem involves finding the duration it will take for the truck to depreciate from $42,935 to $5,135, given it depreciates at a rate of $4,200 per year. The difference in value is $42,935 - $5,135 which equals $37,800. This depreciation amount has to be distributed over the years so we divide it by the yearly depreciation rate. This is represented by the equation 37,800 = 4,200x, with x being the number of years. Thus, solving for x gives x = 37,800 / 4,200 which is approximately 9 years. Therefore, it will take about 9 years for the truck to depreciate to a value of $5,135.
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dis
You roll a fair 6-sided die.
What is P(not 5)?
If necessary, round your answer to 2 decimal places.
ro
Answer:
There would be an 83.3% chance (0.83 chance) that the die would not land on 5.
Step-by-step explanation:
Use the probability formula: [tex]\frac{desired}{total}[/tex] (desired events over total events)
There are 5 desired events. (The events that the die would not land on five)There are 6 total events.[tex]\frac{desired}{total} =\frac{5}{6}= 0.8333333[/tex]
Rounded to two decimal places, there would be a 0.83 chance that the die would not land on 5.
10. Write an equation in point-slope form and slope-intercept form for the line.
Passes through (2,-2) and (4,-1)
We can use the points (2, -2) and (4, -1) to solve.
Slope formula: y2-y1/x2-x1
= -1-2/4-(-2)
= -3/6
= -1/2
Point slope form: y - y1 = m(x - x1)
y - 2 = -1/2(x + 2)
Solve for y-intercept.
-2 = -1/2(2) + b
-2 = -1 + b
-2 + 1 = -1 + 1 + b
-1 = b
Slope Intercept Form: y = mx + b
y = -1/2x - 1
______
Best Regards,
Wolfyy :)
Using a new app I just downloaded, I want to cut back on my calorie intake so that I can lose weight. I currently weigh 90 kilograms; my plan is to lose 1.2 kilograms a week until I reach my goal. How can I make an equation to model my weight loss for the next several weeks?
Answer:
[tex]W_{f} = 90 - 1.2w[/tex]
Step-by-step explanation:
I want to cut back on my calorie intake so that I can lose weight.
I plan to lose 1.2 kg a week from my current weigh 90 kg until I reach my goal.
Therefore, I can model my weight loss for the next several weeks by the equation
[tex]W_{f} = 90 - 1.2w[/tex]
where [tex]W_{f}[/tex] is my final weight after w weeks of treatment. (Answer)
To model your weight loss, you can create a linear equation using your current weight as the starting point, and representing your weekly weight loss as a negative rate of change. The equation W(t) = 90 - 1.2t will allow you to predict your future weight based on this rate of weight loss.
Explanation:To develop an equation to model your weight loss, you need to translate the information about your weight loss goals into mathematical terms. You mentioned that your current weight is 90 kilograms and you plan to lose 1.2 kilograms per week.
Imagining that each week is a step forward in time, we can say time is represented by the variable 't' in weeks. Likewise, your weight, which will change as time increases, can be represented by 'w' in kilograms.
Giving weight loss a negative sign (since you are losing, not gaining weight), the amount of weight you will lose per week is -1.2 kilograms. When we start, at time t = 0, your weight is 90 kilograms. So we could represent your weight as a function of time with the equation W(t) = 90 - 1.2t.
In this equation, simply substitute 't' for the number of weeks to predict your weight loss. For example, if you want to find out your weight after 3 weeks, you would calculate W(3) = 90 - 1.2 * 3 = 86.4 kilograms. This is a simplified model and actual weight loss may vary due to factors like metabolic rate, type of food ingested and the amount of calories burned per day.
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Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = x + 4/x
Answer:
The given function is an odd function.
Step-by-step explanation:
We define a function f(x) as even function when f(-x) = f(x) and odd function when f(-x) = - f(x) and otherwise it is neither even nor odd function.
Now, we are given a function of x as [tex]f(x) = x + \frac{4}{x}[/tex] and we have to deternime whether the function f(x) is even, odd, or neither even nor odd.
Now, [tex]f(-x) = - x + \frac{4}{- x} = - x - \frac{4}{x} = - [x + \frac{4}{x}] = - f(x)[/tex]
Therefore, the given function is an odd function. (Answer)
8y - 6(3y - 7) what is this simplified?
Answer:
-10y+42.
Step-by-step explanation:
Distribute.
8y-18y+42
-10y+42
:D I hope this helped you!
Answer:
-10y + 42 would be the answer
the dimensions of a blackboard are 9/10 of a meter by 7/10 of a meter. In drawing of the blackboard given below, 1/2 of a inch represents 2 meters. What is unit rate of area in square meters of the blackboard per square inch of area in the drawing?
Answer:
16 square meters per square inch
Step-by-step explanation:
we know that
The scale drawing is
[tex]\frac{(1/2)}{2}=\frac{1}{4}\ \frac{in}{m}[/tex]
That means ---> 1 in in the drawing represent 4 meters in the actual
Find the dimensions of the blackboard in the drawing
Divide by 4
[tex]\frac{9}{10}\ m=\frac{9}{10}/4=\frac{9}{40}\ in[/tex]
[tex]\frac{7}{10}\ m=\frac{7}{10}/4=\frac{7}{40}\ in[/tex]
Find the area of the blackboard
[tex](\frac{9}{10})(\frac{7}{10})=\frac{63}{100}\ m^2[/tex]
Find the area in the drawing
[tex](\frac{9}{40})(\frac{7}{40})=\frac{63}{1,600}\ in^2[/tex]
Find out the unit rate of area in square meters of the blackboard per square inch of area in the drawing
[tex](\frac{63}{100})/(\frac{63}{1,600})=\frac{1,600}{100}=16\ \frac{m^2}{in^2} [/tex]
a cylindrical well has a radius of 10 feet and a height of 15 feet what volume of water will it take to fill in the well
Volume of water will it take to fill in the well is 4710 cubic feet
Solution:Given that a cylindrical well has a radius of 10 feet
Height of cylindrical well = 15 feet
To find: volume of water will it take to fill in the well
Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well
The volume of cylinder is given as:
[tex]\text { Volume of water in the well }=\pi r^{2} h[/tex]
Where "r" is the radius and "h" is the height of cylinder
Substituting the given values we get,
[tex]\begin{array}{l}{\text { Volume of water in the well }=(3.14) \times(10)^{2} \times(15)} \\\\ {=(3.14) \times(1500)=4710}\end{array}[/tex]
[tex]\text { Volume of water in the well }=4710 \text { feet }^{3}[/tex]
Hence, the amount of water that can be stored in the well is 4710 cubic feet
Final answer:
The volume of water that will fill the cylindrical well with a radius of 10 feet and height of 15 feet is 1500π cubic feet.
Explanation:
To calculate the volume of water that will fill the cylindrical well, we need to use the formula: V = πr²h. Given that the radius is 10 feet and the height is 15 feet, we can substitute these values into the formula as follows:
V = π(10)^2(15) = 1500π cubic feet.
Therefore, it will take 1500π cubic feet of water to fill the well.
a rectangles width is 4 less than its area and its length is 19. what is it’s width?
The width of the rectangle is [tex]\frac{2}{9}[/tex] unit
Step-by-step explanation:
The given is:
A rectangles width is 4 less than its areaIts length is 19 unitsWe need to find the width of the rectangle
Assume that the width of the rectangle is x units
∵ The area of the rectangle = length × width
∵ The width of the rectangle = x units
∵ The length of the rectangle = 19 units
∴ The area of the square = 19 × x = 19 x units²
∵ The width of the rectangle is 4 less than its area
- That means subtract 4 from the area to find the width
∴ x = 19 x - 4
- Subtract 19 x from both sides
∴ -18 x = -4
- Divide both sides by -18
∴ x = [tex]\frac{-4}{-18}[/tex]
- Reduce the fraction by dividing up and down by -2
∴ x = [tex]\frac{2}{9}[/tex]
The width of the rectangle is [tex]\frac{2}{9}[/tex] unit
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Paul has 30$ to spend at the fair if the admission to the fair is 5$ and the rides cost 3.50 each how many rides can paul go on
Answer:
7
Step-by-step explanation:
Start with $30.
Subtract $5 for the admission: $30 - $5 = $25.
Now he has $25 to spend on rides. Each ride costs $3.5, so we divide $25 by $3.50.
$25/$3.50 = 7.14
Since the number of rides must be a whole number, he can go on 7 rides.
by the time Paul got into the fair he would have already paid admission with his 30 bucks meaning that he would have 25 dollars left for rides and 25 divided by 3.50 is 7.blah blah blah the rest dosent matter so Paul could go on a maximum of 7 rides
solve 2cos^2x+sinx-1=0, if 0<=x<=2pi
The equation 2cos²x + sinx - 1 = 0 can be solved by converting terms involving cosine to sine, simplifying the equation, and then solving the resulting quadratic equation for sinx and consequently solving for x.
Explanation:To solve the trigonometric equation 2cos²x + sinx - 1 = 0, we can first convert the terms in the equation involving cosine to terms involving sine.
We know that cos²x= 1 - sin²x. Substituting this into the equation, we will have 2(1 - sin^2x) + sinx - 1 = 0.
This simplifies to 2 - 2sin²x + sinx - 1 = 0. Reordering terms, we get 2sin²x - sinx + 1 = 0. If we solve this quadratic equation for sinx, we can then solve for x. Assuming the domain 0<=x<=2pi, this will give us the possible values of x that satisfy the original equation.
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Why there is 1/3 cup of fruit in half a smoothie
Answer: because the other half is used on the base solution
Step-by-step explanation:
14. Luis placed $4500 in a certificate of deposit. He earns $20 each month
for the next 36 months. Find the annual simple interest rate for the
certificate of deposit.
To find the annual simple interest rate for the certificate of deposit, divide the total interest earned by the principal amount. In this case, the annual interest rate is 16%.
Explanation:The amount of simple interest Luis earns each month is $20, and he earns this for the next 36 months. We can find the total interest earned by multiplying the monthly interest by the number of months: $20 x 36 = $720.
To find the annual simple interest rate for the certificate of deposit, we need to divide the total interest earned by the principal amount. In this case, the principal amount is $4500. So, the annual interest rate is calculated as: $720 / $4500 = 0.16 or 16%.
Therefore, the annual simple interest rate for the certificate of deposit is 16%.