The solution to the equation 16 - 5y = 1 - 4y is y = 15.
Here, we have,
To solve the equation 16 - 5y = 1 - 4y, you can follow these steps:
Step 1: Combine like terms on both sides of the equation.
16 - 5y = 1 - 4y
Step 2: Simplify by subtracting 1 from both sides.
16 - 5y - 1 = 1 - 4y - 1
15 - 5y = -4y
Step 3: Simplify further by subtracting -4y from both sides.
15 - 5y + 4y = -4y + 4y
15 - y = 0
Step 4: Isolate the variable term by subtracting 15 from both sides.
15 - y - 15 = 0 - 15
-y = -15
Step 5: Multiply both sides by -1 to solve for y.
-y * -1 = -15 * -1
y = 15
Therefore, the solution to the equation 16 - 5y = 1 - 4y is y = 15.
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Solve the equation and show all work please show steps!!
2n-3=9
Last year, there were 80 students in the orchestra. This year there are 100 students in the orchestra. Determine the percent of increase in the number of students taking orchestra from last year to this year.
A 25%, because 100-80/80= 25%
B 20%, because 100-80/100= 20%
C 80%, because 80/100= 80%
D 125%, because 100/80= 125%
v(j+y)=61y+82
please solve!!!!
need help
Jeremiah built a box that was 5 inches long by 6 inches wide by 7 inches high .he started filling it up with 1 cube.he realized quickly that he did not have nearly enough cubes to fill the box .can he still figure out how many cubes it will hold?
Bill says that he can add 23 and 40 without regrouping. Is bill correct? How do you know?
A cake recipe requires 1 2/3 cups of milk how many cups altogether are necessary to make 4 cakes
if a cone-shaped hole is 3 feet deep and the circumference of the base of the hole is 44 ft, what is the volume of the hole? use 22/7 for pi
Final answer:
To find the volume of a cone-shaped hole with a depth of 3 feet and a base circumference of 44 ft, calculate the radius using the circumference formula, then plug the radius and height into the volume formula to get 154 cubic feet.
Explanation:
The volume of a cone-shaped hole can be calculated using the formula V = (1/3) × π × r² × h, where r is the radius of the base and h is the height of the cone. In this case, the circumference of the base, 44 ft, can be used to find the radius. Given that the radius is 14 ft, and the height is 3 ft, you can substitute these values into the formula to find the volume of the hole.
Calculate the radius: Circumference = 2πr, so r = Circumference / 2π = 44 / 2π = 7 ft.
Calculate the volume: V = (1/3) × 22/7 × 7² × 3 = 154 ft³.
It is given that y varies directly as x. If y = 5 when x = 4 determine the constant of variation.
A) -4/5
B) 4
C) 5
D) 5/4
Please help with these I need to pass
Two sides of a triangle measure 20 cm and 30cm. What is the third side?
In which quadrant of the coordinate graph does point F lie? Quadrant I Quadrant II Quadrant III Quadrant IV
The quadrant of the coordinate graph does point F lie in quadrant IV.
What is Quadrant in Graph?The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant.
The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.
The sign notations for four Quadrants is as follows:
Quadrant I :
both x and y positive.
Quadrant II :
x negative and y positive
Quadrant III:
x and y both negative.
Quadrant IV:
x positive and y negative.
As, the point F has coordinates (1,-5) which shows x is positive and y is negative.
So, point F is in quadrant IV.
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9/3 write the fraction as a whole number
A cathedral has a large,circular stained glass window. A visitor measures the window and calculates that it has a circumference of 12.56 yards. What is the windows area
The area of the stained glass window is approximately 12.56 square yards. We obtained this by first calculating the radius (2 yards) using the given circumference, then substituting the radius into the formula for the area (πr²).
Explanation:The area of a circle can be found using the formula A = πr². where A represents the area, r is the radius, and π is a mathematical constant approximately equal to 3.14. First, we should find the radius of the window. The circumference of a circle is given by the formula C = 2πr. If the circumference is known to be 12.56 yards, we can solve for the radius as follows:
Setting the two formulas equal to each other, we get 12.56 = 2πrDividing both sides by 2π, we get r = 12.56/2π = 2 yards.Next, we substitute the radius into the area formula: A = π(2)² = 4π = 12.56 square yards.
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what is the tangent of 33.0?
Solve each equation. Factor and use the zero product property to solve. Show all work algebraically.
Write an equition that expresses y in terms of x
rewrite using scientific notation 0.058
If a(x) is a polynomial function and b(x) is a polynomial function, then which of the following could be the sum of a(x) + b(x)?
A. ex + 2
B. x2 + 2x − log(x)
C. x6 − x4 + 9x
D. 5x² − 3x
PLEASE NEED HELP WITH A-D
Please answer all
WILL GIVE BRAINLIEST!
A bicycle manufacturer is reducing the number of spokes on each bicycle wheel by 4. A wheel on one of the company's new cross-country bikes has 32 spokes. Which equations could be used to determine the number of spokes s that a wheel on a cross-country bike used to have? A. S + 32 = 4 B. S + 4 = 32 C. S - 32 = 4 D. S - 4 = 32
if a line is tangent to a circle at how many points does it interest the circle?
Jason has two bags with 6 tiles each. The tiles in each bag are shown below: Make 6 squares. The squares are numbered sequentially from 1 to 6. Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag?
The answer would be 1/12 or 2/12 im not sure.
The correct answer is [tex]\frac{1}{36}[/tex]
To solve this problem, we need to find the probability of drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag.
Given:
- Bag 1 contains tiles numbered 1, 2, 3, 4, 5, 6.
- Bag 2 contains tiles numbered 1, 2, 3, 4, 5, 6.
- The desired outcome is drawing tile 2 from Bag 1 and tile 3 from Bag
Step 1: Find the total number of possible outcomes.
Total number of outcomes = Number of tiles in Bag 1 × Number of tiles in Bag 2
Total number of outcomes = 6 × 6 = 36
Step 2: Find the number of favorable outcomes.
Number of favorable outcomes = 1 (drawing tile 2 from Bag 1 and tile 3 from Bag 2)
Step 3: Calculate the probability of the desired outcome.
Probability = Number of favorable outcomes / Total number of outcomes
Probability =[tex]\frac{1}{36}[/tex]
PLEASE HELP!!!! SOLVE: |2x+1|+|3x−4|=5
five criterion team bikes cost $ 11,300. How much would the club have to pay for a dozen criterion team bikes?
The cost for one Criterion team bike is $2,260, calculated by dividing $11,300 by 5. Therefore, for a dozen bikes, which amounts to 12, the club would have to pay a total of $27,120.
The question involves a simple ratio or unit price problem and can be solved using basic multiplication. If five Criterion team bikes cost $11,300, to find the cost of one bike, divide the total cost by the number of bikes: $11,300 / 5 = $2,260 per bike. Then, to find the cost for a dozen (12) bikes, multiply the cost of one bike by 12: $2,260 x 12 = $27,120. Therefore, the club would have to pay $27,120 for a dozen Criterion team bikes.
What is the approximate volume of a basketball with the circumference of 42ft ?
What is the area of the triangle in this coordinate plane? 9.0 units² 14.0 units² 16.5 units² 24.5 units² A graph with a triangle drawn on it
Light travels at a speed of about 186,000 miles per second. How far does light travel in 5 seconds? Use repeated addition to solve.
Final answer:
Light travels at a speed of 186,000 miles per second. Using repeated addition, we find that in 5 seconds, light travels a total of 930,000 miles.
Explanation:
To calculate how far light travels in 5 seconds, we can use repeated addition. Light travels at a speed of about 186,000 miles per second. If we add this number for each second, five times, we can find the total distance light travels in 5 seconds.
Let's perform the repeated addition:
After 1 second, light has traveled 186,000 miles.
After 2 seconds, light has traveled 186,000 miles + 186,000 miles = 372,000 miles.
After 3 seconds, light has traveled 372,000 miles + 186,000 miles = 558,000 miles.
After 4 seconds, light has traveled 558,000 miles + 186,000 miles = 744,000 miles.
After 5 seconds, light has traveled 744,000 miles + 186,000 miles = 930,000 miles.
Therefore, light travels 930,000 miles in 5 seconds.
A function is a relationship that maps__.
A) many inputs to many outputs or one input to one output
B) many inputs to many outputs or many inputs to one output
C) one input to many outputs or one input to one output
D) one input to one output or many inputs to one output
Solution:
A function is always a relation but a relation is not always a fucntion.
For example
we can make a realtion of student roll number and their marks obtained in mathematics.
So we can have pairs like (a,b), (c,d)..etc.
Its a realtion but it may not be function. Because function follows that for same input there should not be diffrent output, aslo there could be many inputs to one output in the case of constant function . But this doesn't holds a necessary condition in case of relation.
Because two diffrent students with two diffrent Roll number may have same marks.
Hence the foolowing options holds True in case of a function.
A) many inputs to many outputs or one input to one output.
D) one input to one output or many inputs to one output.
Answer:
The correct answer is D. A function is when an input has one output. An input can only have one output but an output can have multiple inputs. Hope this helps!
What situation could this diagram represent?
Answer: B- Flipping two coins once
Step-by-step explanation:
B. Tossing Two Coins Once
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