Answer:
you want to divide 2¾ by ¼to find how many pieces leah cut.
hope this helps.
Step-by-step explanation:
-- Simplify the expression: Show your work. Write the answer in standard form
(15 +6d - (2) + (-502 - 18 + 60)
PLEASE HELP
Answer:
6d - 447
Step-by-step explanation:
(15+6d) - 2 + (-502 - 18 + 60)
(13+6d) + (-460)
6d + 13 - 460
6d - 447
The required answer is 6d - 531
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given expression is,
(15 +6d - (2) + (-502 - 18 + 60)
Thus,
(15 +6d - (2) + (-502 - 18 + 60)
= 15 + 6d - 2 - 502 + 18 - 60
Rearranging we get,
= 15 + 18 + 6d - 2 - 502 - 60
= 33 + 6d - 564
= 6d - 564 + 33
= 6d - 531
this is the required answer.
Thus, the required answer is 6d - 531.
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Quadratic equation whose roots are 6 and -5
Quadratic equation is x² - x - 30
Step-by-step explanation:
Step 1: Given that the roots of the equation are 6 and -5.⇒ Factors are (x - 6) and (x + 5)
Step 2: Form the quadratic equation using these factors.⇒ (x - 6)(x + 5) = x² + 5x - 6x - 30 = x² - x - 30
what is arctan(1)???
Answer:
0.785398163 rad
Step-by-step explanation:
The value of arctan(1) is equal to π/4 or 45 degrees.
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.
For the angle whose tangent is 1, we can visualize a right triangle where the length of the side opposite to the angle is 1 and the length of the adjacent side is also 1.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse:
hypotenuse² = opposite² + adjacent²
hypotenuse² = 1² + 1²
hypotenuse² = 1 + 1
hypotenuse² = 2
hypotenuse = √2
Now, we can use the definition of the arctan function to find the angle whose tangent is 1:
arctan(1) = angle whose tangent is 1 = angle whose opposite side is 1 and adjacent side is 1
This angle is a well-known special angle in trigonometry.
It is a 45-degree angle (π/4 radians) or a quarter of a full circle.
Therefore, arctan(1) is equal to π/4 or 45 degrees.
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A post it note has an area of A square inches. The width of the post it note is 4 inches.which equation represents X the length of the post it note in inches A X=4/A. B. X=A+2(4) C. X=A/4. D. X=A-2(4)
Answer:
Option C. X=A/4
Step-by-step explanation:
we know that
The area of the rectangular post it note is equal to
[tex]A=LW[/tex]
where
L is the length
W is the width
In this problem we have
[tex]W=4\ in[/tex]
[tex]L=X\ in[/tex]
substitute
[tex]A=4X[/tex]
solve for x
That means ----> isolate the variable x
Divide by 4 both sides
[tex]X=\frac{A}{4}[/tex]
Solve the inequality and graph the solution.
2x + 5 > 22
1 solve it
2 show your work
3 the solution is graphed correctly
The solution of the inequality is 8.5 < x.
Solution:
Given inequality is 2x + 5 > 22.
2x + 5 > 22
Subtract 5 from both sides of the inequality.
2x + 5 – 5 > 22 – 5
2x > 17
Divide by 2 on both sides of the inequality.
[tex]$\frac{2x}{2}>\frac{17}{2}[/tex]
[tex]$x>\frac{17}{2}[/tex]
x > 8.5
8.5 < x
The graph of the solution is attached below.
Let A= {a,b,c,d,e} and let B= {1,2,3,4,5} determine n(AxB)
n(AxB) = 25
Step-by-step explanation:
AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.
Given
A = {a,b,c,d,e}
B = {1,2,3,4,5}
The number of elements for Cartesian product of two sets is determined by:
[tex]n(AxB) = n(A) * n(B)[/tex]
Here
[tex]n(A) = 5\\n(B) = 5[/tex]
So,
[tex]n(AxB) = 5*5 = 25[/tex]
Hence,
n(AxB) = 25
Keywords: Sets, Cartesian Product
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The value of n(AxB) is 25
Set theoryGiven the following sets
A= {a,b,c,d,e} and let B= {1,2,3,4,5}, we are to determine n(AxB)
n(A) = 5 (number of elements in the set)
n(B) = 5
Get the cardinality of n(AxB)
n(AxB) = n(A) * n(B)n(AxB) = 5 * 5n(AxB) = 25Hence the value of n(AxB) is 25
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Someone bought a watermelon pack of napkins and a paper plate the food do not have tags but the non-food items have 5% tax the total cost before tax was $8.25 the tax was $.19 how much was the watermelon
Question:
A shopper bought a watermelon, a pack of napkins, and some paper plates. In his state, there is no tax on food. The tax rate on non-food items is 5%. The total for the three items he bought was $8.25 before tax, and he paid $0.19 in tax. How much did the watermelon cost?
Answer:
Cost of watermelon is $ 4.45
Solution:
From given,
Total amount for three items before tax = $ 8.25
Tax amount = $ 0.19
Tax on non food = 5 %
Here, non food means napkin and paper plates
Let "x" be the cost spent for napkin and paper plates
Then,
5 % = 0.19
100 % = x
This forms a proportion
[tex]5 \times x = 0.19 \times 100\\\\5x = 19\\\\x = 3.8[/tex]
Thus cost spent for napkin and paper plates is $ 3.8
Therefore,
Watermelon cost = total amount before tax - cost spent for napkin and paper plates
Watermelon cost = 8.25 - 3.8 = 4.45
Thus cost of watermelon is $ 4.45
The watermelon cost $4.45, calculated by subtracting the cost of the non-food items ($3.80) taxed at 5% from the total cost before tax ($8.25).
The information provided gives us the total cost before tax ($8.25) and the total tax amount ($0.19). Because only non-food items are taxed, and the tax rate is 5%, we can find the cost of the non-food items by dividing the total tax amount by the tax rate (expressed as a decimal).
Convert tax rate to decimal: 5% = 0.05
Divide the total tax by the tax rate: $0.19 / 0.05 = $3.80
Deduct the cost of the non-food items from the total cost before tax: $8.25 - $3.80 = $4.45
The cost of the watermelon, which is a food item and thus not taxed, is $4.45.
Combine 2y+1x=40 and y=2x using substitution
2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution
Solution:
Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method
The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.
Given equations are:
2y + 1x = 40 -------- eqn 1
y = 2x ----------- eqn 2
We can substitute eqn 2 in eqn 1
Which means, substitute y = 2x in place of y in eqn 1
2(2x) + 1x = 40
4x + 1x = 40
5x = 40
x = 8
From eqn 2,
y = 2(8)
y = 16
Thus by combining using substitution method we found the solution
a car is traveling at a speed of 60 miles per hour. Represent this situation with an equation. Define d as the distance the car has traveled and t as the number of hours it has traveled
A. d = 60t
B. D = + t
C. T = 60 + d
D. T = 60d
Answer:
d=60t
Step-by-step explanation:
Use the equation speed = distance / time
To get distance you do speed X time
D =60t shows that
The distance traveled = 60t.
What is meant by distance?Distance exists defined to be the magnitude or extent of displacement between two positions. Distance traveled exists the entire length of the path traveled between two positions. Distance traveled exists not a vector.
The independent variable exists as t (hours) and the dependent variable exists as d (distance). The total distance (d) depends on the number of hours (t). As the hours increase, the distance will rise. The distance relies on the amount of time traveling.
Speed = distance / time
Therefore, Distance = speed [tex]*[/tex] time
Distance = 60t
Therefore, the correct answer is option A. d = 60t.
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3/8 or 11/12 which one is greater
Answer:11/12
Step-by-step explanation:
Colton takes out a $16,000 student loan to pay his expenses while he is in college. After graduation, he will begin making payments of $103.09 per month for the next 25 years to pay off the loan. How much will Colton end up paying for the loan than the original value of $16,000
Find the slope of the line. y=6
Answer:
slope: 0
Step-by-step explanation:
y=6
no matter what x is, y is always going to equal 6
Please answer quickly
Answer:
72 cubic ft
Step-by-step explanation:
To find volume you multiply length × width × height
Length is 4, width is 6 and height is 3
4×6×3= 72
Answer:
72 cubic ft
Step-by-step explanation:
Use the formula v= lxwxh
1. Write 6x4x3
2. 6x4=24
3. 24x3=72
***or***
1. 3x4=12
2. 12x6=72
Either way both equal 72 cubic ft
What is the product of -3 and 5?
Answer:
-15
Step-by-step explanation:
3 x 5 = 15
when negative numbers are multiplied by positive numbers the product will be negative.
Final answer:
The product of -3 and 5 is -15, as per the multiplication rules where a negative number multiplied by a positive number results in a negative product.
Explanation:
The product of -3 and 5 is -15. In mathematics, when we talk about the product of two numbers, we are referring to the result of multiplying them. According to multiplication rules, when two numbers have opposite signs, the product has a negative sign. If we multiply a negative number by a positive number, the answer will also have a negative sign.
It's important to remember that multiplication is commutative, meaning that changing the order of the numbers does not change the product. The key concepts are similar to those used when figuring out subtraction and addition of signed numbers. For example, subtracting a negative is the same as adding a positive.
If we apply this to -3 multiplied by 5, we multiply the absolute values (3 and 5) to get 15. Since we have one positive number (5) and one negative number (-3), our final product is -15.
find the values of x and y. write your answers in simplest form.
I know x=9√3 and y=18 but I don't know why pls pls help ASAP
Step-by-step explanation:
Given triangle is 30°, 60° & 90° angled triangle.
We know that in 30°, 60° & 90° angled triangle. Side opposite to 30° is half of hypotenuse and side opposite to 60° is root 3 upon 2 times of hypotenuse.
[tex] \therefore \: 9 = \frac{1}{2} \times y \:\:\:(side \: opposite \: to \: 30 \degree)\\ \\ \therefore \: 9 \times 2 = y \\ \\ \therefore \:y = 18 \: units \\ \\ next \\ \\ x = \frac{ \sqrt 3}{2} \times y \:\:\: (side \: opposite \: to \: 60 \degree)\\ \\ \therefore \: x = \frac{ \sqrt 3}{2} \times 18 \\ \\\therefore \: x = \sqrt 3 \times 9 \\ \\ \therefore \: x = 9 \sqrt 3 \: units[/tex]
A system of equations is shown below: 3x − y = 2 x + y = 6 The x-coordinate of the solution to this system of equations is _____.
Answer:
Therefore the x-coordinate of the solution to this system is 2.4.
Step-by-step explanation:
Given system of equation is
3x-y=6............(1)
and 2x+y=6...........(2)
Adding equation (1) and (2)
3x -y+2x-y=6+6
⇔5x =12
[tex]\Leftrightarrow x=\frac{12}{5}[/tex]
⇔x = 2.4
Putting the value of x in equation (1)
3×2.4 - y =6
⇔7.2 -y = 6
⇔y = 7.2-6
⇔y=1.2
Therefore the x-coordinate of the solution to this system is 2.4.
Step-by-step explanation:
what is 33 1/3 of 687
[tex]\(33 \frac{1}{3}\)[/tex] % of 687 is 229.
To find [tex]\(33 \frac{1}{3}\)[/tex] the percent of 687, you can first convert [tex]\(33 \frac{1}{3}\)[/tex]% to a decimal, then multiply by 687.
[tex]\[33 \frac{1}{3}\% = \frac{33\frac{1}{3}}{100} = 0.3333\][/tex]
Now, multiply this decimal by 687:
[tex]\[0.3333 \times 687 = 229\][/tex]
So, [tex]\(33 \frac{1}{3}\)[/tex] % of 687 is 229.
Correct question:
what is [tex]\(33 \frac{1}{3}\)[/tex] of 687?
PIUWawilities
robability of
a rolls of a
A number cube with six sides is rolled seven
times. The probability of getting a 4 exactly twice
DONE
Answer:
23.44%
Step-by-step explanation:
The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5
= 0.01116
There are 7C2 ways of the 2 4's being in different positions
= 7*6 / 2 = 21 ways.
So the required probability = 0.01116 * 21
= 0.2344 or 23.44%.
Check all solutions to the equation. x² =-4
Answer:
x=2i, -2i
Step-by-step explanation:
Answer:
2,-2 or maybe no real solutions but i went with 2,-2
Step-by-step explanation:
Can you simplify 5x+2(x-y)
Answer:
5x+2x-2y
7x-2y
Step-by-step explanation:
Answer:
7x-2y
Step-by-step explanation:
distribute the 2 to the numbers in the parenthesis then combine like terms
Thinking Dan drew the trapezoid at the right.
The top is 3 inches long. The bottom is twice as long as the
top. The length of a side is 5 inches. How can you find the
perimeter of the trapezoid? Label the lengths of the sides.
Answer:3x6x5
Step-by-step explanation:
Jeff has ten packages that he wants to mail. Nine identical packages that weigh 2 7/8 pounds each. A tenth package weighs two times as much of one the nine packages. How many ponds do all packages weigh?
Answer:
31 5/8 pounds
Step-by-step explanation:
The total weight is ...
9(2 7/8 lb) + 2(2 7/8 lb) = (2 7/8 lb)(9 +1) = (23/8 lb)(11) = 253/8 lb
= 31 5/8 lb
The total of package weights is 31 5/8 pounds.
Final answer:
The total weight of all ten packages that Jeff wants to mail is 31 5/8 pounds.
Explanation:
Jeff has ten packages to mail, with nine identical packages weighing 2 7/8 pounds each and one package weighing double the weight of one of the nine.
To find the total weight of all the packages, we first calculate the weight of the nine identical packages by multiplying their weight by the number of packages, which is:
2 7/8 pounds/package × 9 packages = 25 7/8 pounds
Next, we determine the weight of the tenth package:
2 × 2 7/8 pounds = 5 6/8 pounds, which simplifies to 5 3/4 pounds.
Finally, we add the total weight of the nine packages to the weight of the tenth package:
25 7/8 pounds + 5 3/4 pounds = 31 5/8 pounds.
Therefore, the total weight of all ten packages is 31 5/8 pounds.
Olivia is cutting a 1 1/2 m by 3/4 m piece of rectangular paper into two pieces along its diagonal. Find the area
Answer:
9/16 m.
Step-by-step explanation:
When you cut two pieces along its diagonal it causes it to be two congruent triangular pieces.
You need to multiply the length and the width to find an area:
1 1/2 × 3/4
Now you need to change it into an improper fraction:
1*2+1 = 2+1 = 3; this gives us 3/2:
3/2 × 3/4 = 9/8 = 1 1/8
Dividing it by 2:
9/8 ÷ 2
A section of rope 5 inches long represents 20% of the length of the entire rope. How long is the rope?
Answer:
the rope is 25 inches long
1. 20×5=100%
2. 5×5=25 inches
3. 100% of the rope is equal to 25 inches
Final answer:
The entire rope is 25 inches long, as the given 5-inch section is 20% of the whole rope, and multiplying by 5 gives us the full length.
Explanation:
If a section of rope 5 inches long represents 20% of the length of the entire rope, we can find the full length of the rope by setting up a proportion. Considering that 20% is equivalent to the fraction 1/5, we would multiply the length of the shortened rope by 5.
The calculation would be as follows:
5 inches (given length representing 20%) × 5 (since 20% is 1/5 of 100%) = 25 inches.
Thus, the entire length of the rope would be 25 inches.
Pls Answer 30 points
Answer:
84
Step-by-step explanation:
72/x = 6/7
muliply by x on both sides
72 = 6/7x
mulitply by 7 on both sides
504 = 6x
divide by 6 on both sides
84
Answer:84
Step-by-step explanation:
6*12=72
7*12=84
The point (-2, -1) lies on a circle. What is the length of the radius of this circle if the center is located at (0, 4)?
The radius of a circle with center at [tex]C (0, 4)[/tex] and point [tex]P(-2, -1)[/tex] will be [tex]\sqrt{29}[/tex].
What is equation of a circle ?Equation of a circle is written in the form of [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] represents the center and [tex]r[/tex] is the radius.
We have,
Center at [tex]C (0, 4)[/tex]
i.e. [tex]h=0,\ k=4[/tex]
And,
Point [tex]P(-2, -1)[/tex]
i.e. [tex]x=-2,\ y=-1[/tex]
Now,
To determine Radius of the circle;
[tex]r^2=(x-h)^2+(y-k)^2[/tex]
[tex]r^2=(-2-0)^2+(-1-4)^2[/tex]
[tex]r^2=(-2)^2+(-5)^2[/tex]
[tex]r=\sqrt{4+25}[/tex]
[tex]r=\sqrt{29}[/tex]
So, radius of the circle is [tex]\sqrt{29}[/tex] , which is find out using equation of a circle.
Hence, we can say that the radius of a circle with center at [tex]C (0, 4)[/tex] and point [tex]P(-2, -1)[/tex] will be [tex]\sqrt{29}[/tex].
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The length of the radius of the circle is sqrt(29) or approximately 5.39 units.
Explanation:To find the length of the radius of a circle, we can use the distance formula. The distance between the center of the circle (0, 4) and the point on the circle (-2, -1) is given by:
d = sqrt((x2-x1)^2 + (y2-y1)^2)
Plugging in the values, we get:
d = sqrt((-2-0)^2 + (-1-4)^2)
d = sqrt((-2)^2 + (-5)^2)
d = sqrt(4 + 25)
d = sqrt(29)
Therefore, the length of the radius of the circle is approximately sqrt(29) or 5.39 units.
I need help please and thank you
Answer:
yes
Step-by-step explanation:
can i get brainliest please and thank you.
If a(x) = 3x + 1 and b (x) = StartRoot x minus 4 EndRoot, what is the domain of (b circle a) (x)?
Answer:
The domain is [1,∞)
Step-by-step explanation:
The given functions are:
[tex]a(x)=3x+1[/tex]
and
[tex]b(x) = \sqrt{x - 4} [/tex]
We want to find the domain of
[tex](b\circ a)= \sqrt{3x + 1 - 4} [/tex]
Simplify to get:
[tex](b\circ a)= \sqrt{3x -3} [/tex]
This function is defined when the expression under the radical is greater or equal to zero.
[tex]3x -3 \geqslant 0 \\ x \geqslant 1[/tex]
Answer:
C on Edge 2021
Step-by-step explanation:
Took the test
Help please! Question is in picture
39 ft of carpet
11x3+3x2=39
Jason and Jeremy work together at a juggling-ball factory. Jason lives 25 miles away from the factory and drives at 60 miles per hour. Jeremy lives 35 miles away from the factory and drives at 70 miles per hour.
If they leave their houses at the same time, then
(a) who arrives at the factory first ?, and
(b) how long is it until the other person arrives?
(a) Jason arrives at the factory first
(b) It takes 5 minutes until the other person arrives
Step-by-step explanation:
Jason and Jeremy work together at a juggling-ball factory
Jason lives 25 miles away from the factory and drives at 60 miles per hourJeremy lives 35 miles away from the factory and drives at 70 miles per hourThey leave their houses at the same timeWe need to know who arrives at the factory first and how long it is until the other person arrives
Time = Distance ÷ speed
∵ Jason lives 25 miles away from the factory
∴ The distance = 25 miles
∵ He drives at 60 miles per hour
∴ The speed = 60 miles per hour
- Use the rule above to find the time
∵ Time = 25 ÷ 60 = [tex]\frac{5}{12}[/tex] hour
∵ 1 hour = 60 minutes
∴ [tex]\frac{5}{12}[/tex] hour =
∴ Jason arrives to the factory in 25 minutes
∵ Jeremy lives 35 miles away from the factory
∴ The distance = 35 miles
∵ He drives at 70 miles per hour
∴ The speed = 60 miles per hour
- Use the rule above to find the time
∵ Time = 35 ÷ 70 = [tex]\frac{1}{2}[/tex] hour
∵ [tex]\frac{1}{2}[/tex] hour =
∴ Jeremy arrives to the factory in 30 minutes
∵ They leave their houses at the same time
∵ 25 minutes < 30 minutes
∴ Jason arrives first
(a) Jason arrives at the factory first
∵ Jason arrives to the factory in 25 minutes
∵ Jeremy arrives to the factory in 30 minutes
∵ 30 - 25 = 5 minutes
∴ Jeremy arrives after Jason by 5 minutes
(b) It takes 5 minutes until the other person arrives
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Final answer:
Jason arrives at the factory first, taking approximately 25 minutes, while Jeremy arrives 5 minutes later, taking around 30 minutes to reach.
Explanation:
The question involves calculating time taken for different scenarios involving motion and relative speed. In the given scenario, Jason lives 25 miles away from the factory and drives at 60 miles per hour, while Jeremy lives 35 miles away and drives at 70 miles per hour. To find out who arrives at the factory first, we calculate the time each person takes to reach the factory.
For Jason: Time = Distance / Speed = 25 miles / 60 mph = 0.4167 hours.
For Jeremy: Time = Distance / Speed = 35 miles / 70 mph = 0.5 hours.
Clearly, Jason will arrive first.
The difference in arrival time between Jeremy and Jason is:
Jeremy's time - Jason's time = 0.5 hours - 0.4167 hours = 0.0833 hours, which is 5 minutes.
Jason arrives at the factory first, and Jeremy arrives 5 minutes later.