Mr,angelo sliced two pizzas into equal parts,what fraction greater than 1 names both pizzas
Answers
[tex]Number \ of \ pizzas=2[/tex]
Each pizza is sliced as shown in the figure below, so we can write the new number of pizzas as follows:
[tex]Number \ of \ pizzas=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}[/tex]
But the problem is asking for a fraction greater than 1 to name both pizzas, then:
[tex]Number \ of \ pizzas=\frac{4}{2} \ or \ \frac{2}{1}[/tex]
Related Questions
Which of the following is a monomial?
A. 2xyz2
B. 2x + yz
C. 2 + xyz
D. 2x − yz
Answers
So your answer would be A. 2xyz2. Hope it helps! :)
Let u = (1,0,2) , v = (0,-1,2) and w = (2,1,0). Compute
(i) the area of the parallelogram bounded by u and v (5)
(ii) the equation of the plane parallel to v and w pass through the tip of u
Answers
(i) 3
(ii) [tex]-2x + 4y + 2z = 2[/tex]
Explanation:
(i) The area of the parallelogram bounded by vectors u and v is given by:
[tex]\text{Area} = \left \| u \times v \right \|[/tex]
Note that if [tex]u = (u_1, u_2, u_3) = (1, 0, 2), v = (v_1, v_2, v_3) = (0, -1, 2) [/tex],
[tex]u \times v \\ = \left(u_2v_3-u_3v_2, u_3v_1-u_1v_3, u_1v_2-u_2v_1\right) \\ = \left((0)(2)-(2)(-1), (2)(0)-(1)(2), (1)(-1)-(0)(0)\right) \\ \boxed{u \times v = \left(2, -2, -1 \right)}[/tex]
Thus, the area of the parallelogram formed by vectors u and v is calculated as
[tex]\text{Area} = \left \| u \times v \right \| \\ = \left \| \left(2, -2, -1 \right) \right \| \\ = \sqrt{(2)^2 + (-2)^2 + (1)^2} \\ \boxed{\text{Area} = 3}[/tex]
Hence, the area of the parallelogram is 3.
(ii) To obtain the equation of the plane, we must get its normal vector and a point in the plane.
As calculated in (i), the normal vector to the plane is [tex]v \times w[/tex] because the plane is parallel to vectors v and w. Note that if [tex]v = (v_1, v_2, v_3) = (0, -1, 2), w = (w_1, w_2, w_3) = (2, 1, 0)[/tex],
[tex]v \times w \\ = \left(v_2w_3-v_3w_2, v_3w_1-v_1w_3, v_1w_2-v_2w_1\right) \\ = \left((-2)(0)-(2)(1), (2)(2)-(0)(0), (0)(1)-(-1)(2)\right) \\ \boxed{v \times w = \left(-2, 4, 2 \right)}[/tex]
Thus, a normal vector to the plane is [tex]\left(-2, 4, 2 \right)[/tex].
To get a point in the plane, note that vector u can be represented by any pairs of points. So, we can take (0, 0, 0) to be the starting point of vector u. Since [tex]u = (1, 0, 2)[/tex], the tip of vector u is [tex](0 + 1, 0, 0 + 2) = (1, 0, 2)[/tex]. Because the plane passes thru the tip of vector u, a point in the plane has coordinates [tex] (1, 0, 2)[/tex].
So for any point [tex](x, y, z)[/tex] in the plane, the equation is given by
[tex]n \cdot (x - 1, y - 0, z - 2) = 0[/tex]
Where n is the normal vector to the plane.
Since [tex]n = \left(-2, 4, 2 \right)[/tex], the equation becomes
[tex]\left(-2, 4, 2 \right) \cdot (x - 1, y - 0, z - 2) = 0 \\ \left(-2, 4, 2 \right) \cdot (x - 1, y, z - 2) = 0 \\ -2(x - 1) + 4y + 2(z - 2) = 0 \\ -2x + 2 + 4y + 2z - 4 = 0 \\ -2x + 4y + 2z - 2 = 0 \\ \boxed{-2x + 4y + 2z = 2 }[/tex]
Which terms accurately classify this triangle? Choose exactly two answers that are correct. A. right B. acute C. isosceles D. scalene
Answers
What is the factored form of x2 - 4x - 5 ?
Answers
Two factors of five that subtract to four
What is the constant term in the expression 4x3y + 8x2 + 6x + 5?
Answers
Answer:
5
Step-by-step explanation:
The constant term is the one with no variables in it: +5.
Answer:
i took the test and its 5.
Write an equation that involves multiplication,addition, contains a variable and has a solution of 8.
Answers
Here's an equation:
(Solve for x.)
x=(4+1)*2-2
Hope this helps!
A candy maker buys a bar of chocolate weighing 162 ounces. About how many pounds does the bar weigh?
Answers
1 pound = 16 ounces
Applying the comversion we have:
(162) * (1/16) = 10,125 pounds
Therefore, the weight of the chocolate bar in pounds is 10,125
Answer:
the bar does weigh 10,125 pounds
Use the data to create a scatter plot. Year 0 1 2 3 4 Population 3 4 6 11 15 Use the point tool to plot the points from the table in the coordinate grid to create a scatter plot.
Answers
Enter the values in the first two columns of MS excel. Then go on the insert tab and click insert scatter plot. A scatter plot will be made as shown below in the attached picture.
The same plot can be made by hand by simply inserting the correct points on the graph. From the scatter plot we can observe that a positive correlation occurs in the given variables. A straight line can be used to approximate the trend of the data.
Answer:
Refer the attached figure.
Step-by-step explanation:
Given : Data of population
To find : Use the data to create a scatter plot?
Solution :
Data :
Year(x) Population(y)
0 3
1 4
2 6
3 11
4 15
A Scatter Plot has points that show the relationship between two sets of data.
With the help of scatter plot graph,
We plot the points of the data.
Refer the attached figure below.
Jim goes to the store and buy 6 apples for 25 cent each and 10 bananas for 10 cent each Jim has a 10% off coupon Jim will own the store $2. 25 truє σr fαlѕє
Answers
Melissa had a balance of $104 in her checking account at the beginning of the month. She made one additional deposi of $216 and wrote checks $78 , $119 , and $105. What was the balance in her checking account at end of the month
Answers
Answer:
She only had $18 left
Step-by-step explanation:
Find the values of a b and c for which the quadratic equation ax^2+bx+c=0 has the solutions -3 and 1
Answers
.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0
The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...
.. a ≠ 0
.. b = 2a
.. c = -3a
$8000 invested at an APR of 6% for 10 years.
If interest is compounded annually, what is the amount of money after 10 years?
Answers
The formula in finding the maturity value is the following:
A = P (1 + r) ^t
Where A = Maturity value
P = principal amount
r = Annual percentage rate
t = time in years
Substituting the given amount to the formula:
A = $8,000 (1 + 6%) ^10
= $8,000 (1.7908)
= $14,326.40
Therefore, the amount of $8,000 after 10 years compounded annually at 6% is $14,326.40
A triangle has sides with lengths of 6 millimeters, 8 millimeters, and 10 millimeters. Is it a right triangle?
Answers
6^2 + 8^2 = 100^2
36 + 64 = 100
100 = 100
Yes, the triangle is a right triangle.
Hope this helps =)
The sides 6 mm, 8 mm and 10 mm forms a right angles triangle.
We have,
The sides of the triangle are of lengths 6 mm, 8 mm and 10 mm.
The longest side length is 10 mm.
Now, the sum of squares of the smaller sides is given as:
6² + 8² = 36 + 64 = 100 = 10²
As, the sum of squares of the smaller sides is equal to the square of the longer side.
So, by the Pythagorean Theorem, the sides form a right triangle.
Learn more about Pythagoras theorem here:
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5 plus 500% of 10 is the same as 110% of what number?
Answers
55÷110%=50
so 5 plus 500% of 10 is the same as 110% of 50
is possible to have a shape with different dimensions while having the same volume?
Answers
yes,
a cuboid with dimensions 2, 4, 8 has volume = 64 unit^3
a cube with side 4 has volume = 64 unit^3
so, they have different shapes but same volume
Answer and how you get then answer
Answers
= (480/540 -1)*100%
≈ -11.11%
The number of calories in a child's meal was reduced about 11%.
Please explain how you worked the problem to find x!
1/x +1/(x+4) =1/5
Answers
[tex]\frac{1]{x} *\frac{x+4}{x+4} +\frac{1}{x+4}*\frac{x}{x}=\frac{x+4}{x*(x+4)}+\frac{x}{x*(x+4)}[/tex] now we can add both of the equation as the denominators have the same value.
[tex]\frac{x+4+x}{x*(x+4)}=\frac{2x+4}{x^{2}+4x} = \frac{1}{5}[/tex] by multiplying both sides by [tex]5*(x^{2}+4x)[/tex]
[tex] 5*(2x+4)=x^{2} +4x[/tex]
[tex] 10x+20=x^{2}+4x[/tex] by subtracting both sides by (10x+20)
[tex] x^{2} -6x -20 = 0[/tex] (by using the quadratic formula)
we will find two answers for this equation
x={[tex]\frac{-6- \sqrt{116}}{-2}[/tex] and [tex] \frac{-6+\sqrt{116}}{-2}[/tex]
Charlie reads quickly. He reads 1 and 3 seventh pages every 2 third minutes. Charlie reads at a constant rate. How many pages does charlie read per minute?
Answers
Charlies reads 15/7, or 2 1/7, page per minute.
Hope this helps a bit.
How do I solve this equation for n? (6x2n)÷8=15
Answers
now we know (6x2n) = 120
so if we re-write this you can make it 6x(2n) = 120
Now we divide by 6 on both sides that gives us (2n) = 20
divide by two and you have your answer
hope this helps
To solve the equation (6x2n)÷8=15 for n, you must perform algebraic operations to isolate n. This involves multiplying by 8, then dividing by 6x, and finally by 2, to arrive at n = 20 / x.
To solve the equation (6x2n)÷8=15 for n, we need to follow several steps. This involves manipulating the equation using algebraic operations until we isolate the variable n on one side. Here is the step-by-step process:
Multiply both sides of the equation by 8 to get rid of the fraction: 6x2n = 15 × 8.Simplify the right side: 6x2n = 120.Divide both sides by 6x to isolate n: 2n = 120 / 6x.Further simplify the right side to get n on its own: n = (120 / 6x) / 2.Complete the calculation based on the values of x that are given: n = 20 / x.If x is known, you can substitute the value of x into the equation to find the value of n. If x is not given, then this is the simplified form of the equation in terms of n and x.
Analyze the following budget, with an income of $750, to determine how much can be spent on food for the month. Month________ Budgeted Amount Food $___ Personal Items $20 Cell Phone $75 Entertainment $85 Car Expenses – Gas, Insurance $260 College Savings $250 a. No more than $70 can be spent on food. b. No more than $75 can be spent on food. c. No more than $80 can be spent on food. d. No more than $60 can be spent on food.
Answers
Hope it helps
A monthly of $60 can be spent for food after all the expenses and savings
are sorted.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The numerical form of the given information can be formed as,
$(750 - 20 - 75 - 85 - 260 - 25).
= $60.
So, With an income of $750 and all the expenses including saving for for college worth of $250 the amount that can be spent on food is $60.
learn more about numerical expressions here :
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15% of the toddlers in a preschool class drink water with their lunch. How many toddlers
are in the class if 3 toddlers drink water with their lunch?
(a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table
model, that’s fine too!) and label the “part,” “whole,” and “percent.”
Answers
15x = 300
x = 300/15
x = 20 kids
116=0.0625. Which calculation is NOT a way to find 1516?
Answers
1/16=0.0625
we know that
Multiply (0.0625) by 15 is a way to find (15/16)--------> 0.0625*15=0.9375
so
any operation that results in any other value is not a way to find (15/16)
Answer: 16 divided by 15
Step-by-step explanation:
I got it right.
5) If f(x) = 4x2 - 5x + 7 and g(x) = 3x2 - 2x + 8, find f(x) + g(x).
Answers
f(x) + g(x) = 4x^2 - 5x +7 + 3x^2 - 2x + 8
f(x) + g(x) = 7x^2 - 7x + 15. Don't go any further.
how many time does 2 go into 19
Answers
When you state the question, "How many times does 2 go into 19", I assume your talking about Long Division. (Not so long in this case)
In this case, we would divide 19 by 2, resulting in 9 with a remainder of 1.
Thats It! :)
I hope I helped, Have a great Day!
Thank you,
Darian D.
In basic division, 2 goes into 19 a total of 9 times with 1 leftover. This demonstrates division and the concept of remainders in mathematics.
Explanation:The student is asking about basic division in mathematics, specifically how many times 2 goes into 19. To find this, we divide 19 by 2.
Doing the division, we get:
19 divided by 2 equals 9 with a remainder of 1.Therefore, 2 goes into 19 9 times with 1 left over.
It's worth noting that there's also a mathematics technique called estimation that might be considered here. If we estimate to the nearest whole number, 2 would go into 19 approximately 9 times since 2 times 9 is 18, which is very close to 19.
if tyrone works 40 hours per week and has no other sources of income what is his total monthly cash inflow
Answers
[tex]18 \times 40 = 720[/tex]
[tex]720 \times 4 = 2880[/tex]
[tex]2880 - 1800 = 1080[/tex]
~~
Answer : B
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
2x+5y=-6 , wht is the x intercept, what is the y intercept
Answers
The x-intercept is (-3,0) and the y-intercept is (0,-6/5).
Explanation:The x-intercept is the point where the line crosses the x-axis. To find the x-intercept, we set y=0 and solve for x. In the equation 2x+5y=-6, we substitute 0 for y and solve for x:
2x + 5(0) = -6
2x = -6
x = -3
So, the x-intercept is the point (-3,0).
The y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we set x=0 and solve for y. In the equation 2x+5y=-6, we substitute 0 for x and solve for y:
2(0) + 5y = -6
5y = -6
y = -6/5
So, the y-intercept is the point (0,-6/5).
1) Which two lines are parallel?
I. 5y = -3x-5
II. 5y = -1 - 3x
III. 3y - 2x = -1
a. I. and II.
b. I. and III.
c. II. and III.
d. No two of the lines are parallel.
2) Which do lines are parallel?
I. 3y = -2x - 3
II. 3y = 1 - 2x
III. 4y - 3x = -1
a. I. and II.
c. II. and III.
b. I. and III.
d. No two of the lines are parallel.
Answers
2)a
hope this helps
Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7? subtracting from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant
Answers
as the power 2 from the right side of the equation disappeared
it means that the it's square root has been taken as square root is the opposite of power 2
and it's easily identifiable that it is been square rooted from the right side of the equation as well
Answer:
C
Step-by-step explanation:
solve the proportion
[tex] \frac{3}{4} = \frac{x}{6} [/tex]
Answers
[tex] \frac{3}{4} = \frac{x}{6} [/tex] Multiply 3 by 6 and multiply 4 by x.
4x = 18 Divide by 4.
x = [tex] \frac{18}{4} [/tex] Simplify!
x = [tex] \frac{9}{2} [/tex]
You can check this by comparing the fractions with [tex] \frac{9}{2} [/tex] in the place of x.
[tex] \frac{3}{4} = \frac{ \frac{9}{2} }{6} [/tex] Divide [tex] \frac{9}{2} [/tex] by 6 ( [tex] \frac{9}{2} [/tex] times [tex] \frac{1}{6} [/tex]).
[tex] \frac{3}{4} = \frac{9}{12} [/tex] Simplify!
[tex] \frac{3}{4} = \frac{3}{4} [/tex]
The fractions are equal, so x = [tex] \frac{9}{2} [/tex] .
In a circle with a radius of 36 3/5 cm, an arc is intercepted by a central angle of 2π7 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
cm
Answers
Answer:
The arc length is [tex]32.84\ cm[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=36\frac{3}{5}\ cm=\frac{36*5+3}{5}=\frac{183}{5}\ cm[/tex]
substitute
[tex]C=2(3.14)(\frac{183}{5})=229.848\ cm[/tex]
Remember that
[tex]2\pi[/tex] radians subtends the complete circle of length [tex]229.848\ cm[/tex]
so
by proportion
Find the arc length by a central angle of [tex]2\pi/7[/tex] radians
[tex]\frac{229.848}{2\pi}=\frac{x}{2\pi/7}\\ \\x=229.848*(2\pi/7)/(2\pi)\\ \\x=`32.84\ cm[/tex]
The arc length is approximately 32.81 cm.
Step 1
To find the arc length intercepted by a central angle, we can use the formula:
[tex]\[ \text{Arc Length} = \text{radius} \times \text{central angle} \][/tex]
Given:
- Radius [tex](\( r \)[/tex]) = 36 3/5 cm
- Central angle [tex](\( \theta \)) = \( \frac{2\pi}{7} \)[/tex] radians
First, let's convert the radius to a decimal:
[tex]\[ \text{Radius} = 36 \frac{3}{5} \text{ cm} = 36.6 \text{ cm} \][/tex]
Step 2
Now, we can use the formula to find the arc length:
[tex]\[ \text{Arc Length} = 36.6 \times \frac{2\pi}{7} \]\[ \text{Arc Length} = 36.6 \times \frac{2 \times 3.14}{7} \]\[ \text{Arc Length} = 36.6 \times \frac{6.28}{7} \]\[ \text{Arc Length} = 36.6 \times 0.897 \]\[ \text{Arc Length} \approx 32.808 \][/tex]
Rounded to the nearest hundredth, the arc length is approximately 32.81 cm.