Substitute the values of x, y and z to the expression:
[tex]x=5,\ y=3,\ z=14\\\\\dfrac{5x-6y+20z}{4yz}=\dfrac{(5)(5)-(6)(3)+(20)(14)}{(4)(3)(14)}=\dfrac{25-18+280}{(12)(14)}\\\\=\dfrac{7+280}{168}=\dfrac{287}{168}=1\dfrac{119}{168}=1\dfrac{119:7}{168:7}=1\dfrac{17}{24}[/tex]
You start with $200 in a checking account each month you withdraw $20. Write an equation to model the amount of money in the checking account
y=the amount of money in the checking account
x=number of months
y=200-20x
the builder measures the perimeter of the foundation to be 425 ft. he must order steel beams to install around the perimeter of the foundation. steel must be ordered in meters. how many meters of steel should the builder order ?
Answer:
The builder should order 129.54 meters of steal.
Step-by-step explanation:
I just went on google and typed in "ft. to meters converter".
The builder should order approximately 129.548 meters of steel.
Explanation:To convert from feet to meters, we need to know the conversion factor. 1 foot is approximately equal to 0.3048 meters. So, we can use this conversion factor to convert the perimeter from feet to meters.
Perimeter in meters = Perimeter in feet * Conversion factor
Perimeter in meters = 425 ft * 0.3048 m/ft
Perimeter in meters = 129.548 m
The builder should order approximately 129.548 meters of steel.
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simplify h(w)=6*2^(w-1)
Answer:
㏒₂(hw/6)=w-1
Answer: log₂[tex](\frac{h(n)}{6})[/tex] + 1 = n
Step-by-step explanation:
h(n) = 6 * 2ⁿ⁻¹
÷6 ÷6
[tex]\frac{h(n)}{6}[/tex] = 2ⁿ⁻¹
log₂[tex](\frac{h(n)}{6})[/tex] = log₂(2ⁿ⁻¹) →→log₂2 cancels out
log₂[tex](\frac{h(n)}{6})[/tex] = n - 1
log₂[tex](\frac{h(n)}{6})+1[/tex] = n
What is the total amount of sap the trees produced that day?
Answer:
It's 5 gallons! :3
Step-by-step explanation:
I need help!!! Please hurryy
Answer:
f(-3) = 6
Step-by-step explanation:
f(-3) is looking at the graph and determining the value of y at x=-3
We go over 3 to the left to x=-3 and go up 6 units to y= 6
f(-3) = 6
Joshua is making a calendar as a fund-raising project for math class. The cost of printing is $500 plus $2.50 per calendar. Joshua estimates that they math class will sell 200 calendars. What will the total cost be?
A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.
1/3
1
2√2/3
2√2
Answer:
[tex]cos\theta=1/3[/tex]
Step-by-step explanation:
The point at the terminal side of an acute angle is given by [tex](1, 2\sqrt{2} )[/tex].
That is,
[tex]x = 1[/tex] and [tex]y= 2\sqrt{2}[/tex] .
Let r be the length of line segment drawn from the origin to the point and is given by the formula:
[tex]r = \sqrt{x^{2} + y^{2}}[/tex]
Substituting the values of x and y into r,
[tex]r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}[/tex]
[tex]r = \sqrt{1 + 8}[/tex]
[tex]r = \sqrt{9}[/tex]
Thus, [tex]r=3[/tex]
Also, [tex]cos\theta[/tex] is given by:
[tex]cos\theta = x/r\\[/tex]
Substituting values of x and r,
[tex]cos\theta = 1/3\\[/tex]
Helena deposited $89 into a saving account. According to the rule of 72 what interest rate will cause her money to double in approximately 38 years
The interest rate that will cause Helena's money to double in approximately 38 years is approximately 1.89%.
Explanation:An interest rate is the percentage at which interest is charged or paid on a loan, investment, or financial instrument over a specified period. It represents the cost of borrowing money or the return on invested capital. Interest rates are set by financial institutions, central banks, and market forces and influence economic activity. They can be calculated by the rule of 72 as well.
To find the interest rate that will cause Helena's money to double in approximately 38 years, we can use the rule of 72. The rule of 72 states that by dividing 72 by the interest rate, we can estimate the number of years it takes for an amount to double. In this case, if we divide 72 by 38, we get an interest rate of approximately 1.89%. Therefore, an interest rate of approximately 1.89% will cause Helena's money to double in approximately 38 years.
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Answer A and B remember to round your ans to the nearest hundredth!
Answer:
$4.11/hour
3.33 pages/minute
Step-by-step explanation:
37 / 9
= 4.11
10 / 3
= 3.33
What is the value of cd if c= 9 and d = 8
Answer:
72
Step-by-step explanation:
c=9
d=8
cd = c*d
substitute in what they give you the variables equal to
cd=9*8=72
Answer:
72
Step-by-step explanation:
A cheese maker changes the temperature of her milk at a rate of negative -2 F Per minute what is the change in the temperature of the milk after 25 minutes
Answer:
-0.08 F
Step-by-step explanation:
Shara brought 3 bags of chocolate candies for $1.25 each and 3 bags of gummy bears for $2.00 each. How much did she spend in all?
let M represent the money spent.
Equation:_____________
Another way of writing this is:
Shara spent_______ on candy.
Answer:
Equation: 3(1.25) + 3(2.00)=M
answer:9.75
Step-by-step explanation:
Write down any rational number between 4 and 6
One rational number between 4 and 6 would be 5.
I NEED HELP!
I'll give brainlyest to the person who's right
Answer:
distributive
Step-by-step explanation:
the number out side the parenthesis, 3 in this case, is being distributed to the numbers inside the parenthesis
Answer:
I would say distributive property
Number 17 is B
Step-by-step explanation:
because your are multiplying 3 times 4 to get 12 and you are multiplying 3 times 3 to get 9
You add -3 to the first number to get the same exact number as the one to the right of -5
Plz help me - 5/8 as a decimal?
Answer:
-0.625
Step-by-step explanation:
Given that a fraction negative in value with numerator -5 and denominator 8.
We have to convert this into decimals. For that we add as many zeroes after decimal point after 5 and divide with 8. The quotient what we get is value of the fraction.
To find in decimals, let us divide 5 by adding zeroes to the right
8)5.00000{0.625
4.8
-------
20
16
--------
40
40
------
0
-------------------------------
Hence in decimal form the fraction -5/8 = -0.625
Estimate with Percents 34% of 99 show ur work
Answer:
Alright well simplify the expression
33.66 Why???
Well write the problem as a mathematical expression
34% 99
Convert 30% to decimal
0.34 and 99
Multiply 0.34 by 99 which gives you
33.66 Hope this helps have a nice day :)
Step-by-step explanation:
There are 2 connected questions:
Two students can eat 4 doughnuts in 6 minutes. At this rate how many doughnuts will be eaten by 8 students in 9 minutes?
8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?
PLEASE EXPLAIN CLEARLY!! I'M CONFUSED
Answer:
6 monkeys
Step-by-step explanation:
8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?
that means each monkey takes 1 min for one bananer so i think 6 monkeys
24 Doughnut will be eaten by 8 students in 9 minutes. 8 monkeys will eat 6 bananas in 6 mins.
Given,
Two students can eat 4 doughnuts in 6 minutes.
On taking time constant (say 6 min), 2 student eat 4 doughnuts,
So 1 student eat 2 doughnuts each in 6 minutes.
So, in 1 minute doughnut eaten by 1 student will be [tex]\frac{2}{6}[/tex].
So, in 9 minute doughnut eaten by 1 student will be [tex](\frac{2}{6} \times 9=3)[/tex]
Finally, in 9 minute doughnut eaten by 8 student will be [tex](3\times 8=24)[/tex].
Hence 24 Doughnut will be eaten by 8 students in 9 minutes.
Similarly,
Since 8 monkeys eat 8 bananas in 8 mins.
On taking time constant, 8 monkeys eat 8 bananas.
So, 1 monkey eat 1 banana in 8 min.
So, in 1 min 1 monkey will eat [tex](\frac{1}{8} )[/tex] banana.
So, 1 banana will be eaten by 8 monkeys in 1 min.
So, 6 banana will be eaten by [tex](8\times 6=48)[/tex] monkeys in 1 min.
Finally, the number of monkeys required to eat 6 bananas in 6 min will be,
[tex]\dfrac{48}{6} =8[/tex].
Therefore 8 monkeys will eat 6 bananas in 6 mins.
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Solve for variable 2(3x+1)=11
Divide both sides by 2
3x + 1 = 11/2
Subtract 1 from both sides
3x = 11/2 - 1
Simplify 11/2 - 1 to 9/2
3x = 9/2
Divide both sides by 3
x = 9/2/3
Simplify 9/2/3 to 9/2 × 3
x = 9/2 × 3
Simplify 2 × 3 to 6
x = 9/6
Simplify 9/6 to 3/2
x = 3/2
can you please help????????
Answer:
9x - 8
Step-by-step explanation:
the perimeter is the sum of the sides, hence
perimeter = 5x - 2 + 3x + 4 + x - 10 ( collect like terms )
= 9x - 8 ← polynomial of degree 1
Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
Answer:
The first attached graph showing the plotted point (0, 3) represents Ramon's initial step.
Step-by-step explanation:
We are given that Ramon is graphing the function f(x) = 3(4)x and that he begins by plotting the initial value.
So if we will input 1 for the value of x and then evaluate the plot point.
Therefore, we will get the point (0, 3) as the answer for this initial step.
Also, the first attached graph here showing the plotted point (0, 3) represents Ramon's initial step.
Answer:
The graph that represent the initial step in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=3(4^{x})[/tex]
we know that
The initial value is the value of the function when the value of x is equal to zero
so
For [tex]x=0[/tex]
substitute in the function
[tex]f(x)=3(4^{0})=3(1)=3[/tex]
therefore
The initial value is the point [tex](0,3)[/tex]
The graph that represent the initial value in the attached figure
A number line is shown. Which expression represents the distance between two points, X and Y, on the number line?
<--(-6)---(-4x)---(-2)---0---2-y-4--6-->
A.-4-3
B. -4+3
C. [-4-3]
D. [-4+3]
Answer: C. |-4 - 3|
Step-by-step explanation:
x = -4
y = 3
The distance between them is the difference. The mathematical operation for difference is subtraction.
Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.
The correct expression representing the distance between two points, X and Y, on a number line is D. [-4+3], which uses the absolute value to ensure a positive distance.
Explanation:The distance between two points X and Y on a number line can be calculated as the absolute value of the difference between their coordinates. In this case, the coordinates of X and Y are not provided, but we know we are looking for an expression that shows a positive distance regardless of whether X is to the left or to the right of Y on the number line. Therefore, we need the absolute value to ensure we get a non-negative result, which correctly represents the concept of distance.
Distance on a number line is given by the formula “|X - Y|”, which yields the magnitude of the difference between two points without considering direction, making it a positive number. Hence, the expression that represents the distance between two points, X and Y, on the number line in the provided options is D. [-4+3].
Using the provided expressions, [-4+3] means taking the absolute value of the result of “-4+3”, which indeed gives us the distance of 1 between the two points, since |-4+3| = |-1| = 1.
Determine which function(s) is NOT a linear function. Select all that apply.
Answer:
x=3
Step-by-step explanation:
By vertical line test, x=3 fails because more than 2 points have the same x value. Functions must pass the vertical line test.
Answer:54x6432y=7644335
Step-by-step explanation:
tab;e times table
Stephen ran a race that was 5 miles long. He ran 1/4 of a mile in 1/8 of an hour. He ran the same pace the entire race. How long, in hours, did it take Stephen to run the entire race?
It took Stephen 2.5 hours to run the entire 5-mile race.
Explanation:To find out how long it took Stephen to run the entire race, we need to know how many 1/4 mile segments are present in a 5 mile race. We can do this by dividing the total distance by the distance ran in each segment. Since 1/4 mile is ran in 1/8 hour, we can divide 5 miles by 1/4 mile to find the total number of segments, which is 20. Multiplying 20 by 1/8 hour, we get the total time it took Stephen to run the race, which is 2.5 hours.
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please help its super easy!!!
well, 1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.
Answer:
1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.
Hope this helps
Solve: 2x^2 = 98 somebody please help me
Answer:
x= 7
Step-by-step explanation:
2x^2=98
\frac{2x^2}{2}=\frac{98}{2}
x^2=49
7^2=49
Final answer:
The solutions to the equation 2x^2 = 98 are x = 7 and x = -7, obtained by isolating the x^2 term and taking the square root of both sides.
Explanation:
To solve the equation 2x^2 = 98, we need to convert it into a standard quadratic equation by bringing the terms to one side of the equals sign, setting it equal to zero:
2x^2 - 98 = 0
Now, we will proceed to solve the quadratic equation. In this simple case, we can find the solutions by factoring or by taking square roots. First, we move the constant to the other side:
2x^2 = 98
Divide both sides by 2 to isolate the x^2 term:
x^2 = 49
To find x, we take the square root of both sides. Do not forget to consider both the positive and negative roots:
x = ±√49
x = ± 7
So the solutions to the equation 2x^2 = 98 are x = 7 and x = -7.
whats the answer to the problem ?
Answer:
could you give what the problem is
Step-by-step explanation:
The fountain in the middle of a park is circular, with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around the fountain. What is the approximate area of the walkway?
A. 179 sq. ft.
B. 159 sq. ft.
C. 28 sq. ft.
D. 16 sq. ft
Answer:
A. 179 sq. ft.
Step-by-step explanation:
Area of walkway + fountain: (3.14)11^2=379.94 ft^2
Area of fountain: (3.14)8^2=200.96 ft^2
Area of walkway : 379.94-200.96=178.98 ft^2 which is also rounded to 179ft^2
Answer:
If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.
Step-by-step explanation:
The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.
Area of Circle = PI times Radius squared
Outer circle radius = (22 ft /2) = 11 ft
Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380
Inner circle radius = (16 ft / 2) = 8 ft
Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201
Area of sidewalk = 380 - 201 = 179
[tex]2(8x - 7)[/tex]
how to do this
This is distributive property and to do distributive property, you distribute what is outside of the parenthesis to the numbers inside the parenthesis.
How-to-do:
2(8x-7)
2(8x) - 2(7)
16x-14
if you mean to simplify :
2(8x−7)
=(2)(8x+−7)
=(2)(8x)+(2)(−7)
=16x−14
3x-13=74 solve for x
Answer:
x=29
Step-by-step explanation:
3x-13=74
We want to solve for x, so we need to isolate it.
The first step is to add 13 to each side.
3x-13+13=74+13
3x = 87
Then we divide by 3 on each side
3x/3 = 87/3
x= 29
select the equation which graphs to a line with a slope of 7
A.y=7
b.x=7
c.y=7x
d.x=7y
PLEASE EXPLAIN
Answer:
Option c is correct.
Equation with slope of 7 is; [tex]y =7x[/tex]
Step-by-step explanation:
The Equation of line is in the form of :
[tex]y =mx[/tex] .....[1]
where
m represents the slope of the line.
x represents the variable.
Given : The slope of a line is 7
m = 7
substitute the value of m =7 in [1];
[tex]y = 7x[/tex]
Therefore, the equation of line which graphs to a line with a slope of 7 is, y =7x