Answer:
[tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex] .
Step-by-step explanation:
It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.
Jelly-filled donuts = 6
Maple donuts = 53
Glazed donuts = 11
Powdered sugar donuts = 5
Now,
Total number of donuts = 6 + 53 + 11 + 5 = 75
We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.
[tex]P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}[/tex]
[tex]P(\text{Powdered sugar donut})=\dfrac{5}{75}[/tex]
[tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex]
Therefore, [tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex].
Please answer this question now in two minutes
Answer:
A. (8, -2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
We are given midpoint and 1 endpoint, so simply set the equation and solve:
1 = (-6 + x)/2
2 = -6 + x
x = 8
2 = (6 + y)/2
4 = 6 + y
y = -2
The sum of the internal angles of a convex polygon is 1080º. Calculate the number of diagonals of this polygon.
a) 30
b) 10
c) 20
d) 24
e) 22
portuguese
A soma dos ângulos internos de um polígono convexo é 1080º. Calcule o número de diagonais desse polígono.
a)30
b)10
c)20
d)24
e)22
Answer:
b
Step-by-step explanation:
4) A rectangular wall feature in a photograph is 8 cm long and 4 cm high, Given that the actual height of the wall feature is 3.2 m, find its actual length
Answer:
6.4m
Step-by-step explanation:
We can use ratios to solve this
Since 4cm: 3200cm
(RHS is 800x bigger)
Then 8cm : 6400cm
6400cm = 6.4m
Add the opposite of 2 1 /2 to the sum of 1.25 and (−1 3/4 ).
Answer:
-3.0
Step-by-step explanation:
The opposite of 2 & 1/2 is the negation, or -2 & 1/2, or -2.5.
The sum of 1.25 (1 & 1/4 or 5/4) and -1 & 3/4 (-1.75 or -7/4) is -2/4 (or -0.5).
So if we add -2.5 to -0.5, we get -3.0.
I need this question solved with derivatives please:
A rectangular piece of cardboard, 100 cm by 40 cm, is going to be used to
make a rectangular box with an open top by cutting congruent squares from
the corners. Calculate the dimensions (to one decimal place) for a box with
the largest volume.
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.
Make b the subject of this formula. a=9b
Answer:
a = 9b
divide each side by 9
[tex]\frac{a}{9}[/tex] = b
The formula a = 9b in terms of b is [tex]\bold{b=\frac{a}{9} }[/tex]
What is equation?"It is a mathematical statement which consists of equal symbol between two mathematical expressions."
For given question,
We have been given an equation a = 9b
We need to solve above equation for b.
⇒ a = 9b .......................(Given equation)
⇒ a / 9 = (9b)/9 .......................(Divide both the sides by 9)
⇒ b = [tex]\frac{a}{9}[/tex]
Therefore, the given formula in terms of b: [tex]\bold{b=\frac{a}{9} }[/tex]
Learn more about equation here:
https://brainly.com/question/13170101
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Find the solution of this system of equations shown on the graph.
Answer:
(0, 6)
Step-by-step explanation:
The solution is the point of intersection of the lines.
(0, 6)
HEEELLLPPP!!! plssss
Answer:
as volume=lenght×width×height
volume=10ft×6.25ft×4.5ft
volume=62.5ft²×4.5ft
volume=281.25 cubic feet
Step-by-step explanation:
i hope this will help you :)
Please answer this question now in two minutes
Answer:
y=x+5
Step-by-step explanation:
Can any one please help me I really need help please help me I need help
Answer:
$8000 worth of sales
Step-by-step explanation:
We know Jack needs to make $1000 in 40 hours. We also know he makes 5% commission, meaning he gets 5% of the money from a sale, and that he makes $15/h.
First, lets find how much made from his hourly pay.
40 * $15 = $600
Now subtract that from how much he needs,
$1000 - $600 = $400
He still needs $400 from commissions. We know he makes 5% commission, so we can find the total value of the sales he'd need by multiplying 400 by 20 since 5% x 20 = 100%, aka the total value. $400 x 20 = $8000 in sales.
Help please! Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of MT? A.) 7 B.) 24 C.) 74 D.) 100
Hey there! :)
Answer:
C) 74 units.
Step-by-step explanation:
MT is congruent to KT because the diagonals of a quadrilateral bisect each other. Therefore:
8y + 18 = 12y - 10
Subtract 8y from both sides:
18 = 4y - 10
Add 10 to both sides:
28 = 4y
Divide both sides by 4:
28/4 = 4y/4
y = 7 units. Plug this into the equation for MT:
8(7) + 18 = 74 units.
Answer:
74
Step-by-step explanation:
Set up the equations
8y + 18 = 12y -10
Combine like terms
28 = 4y
Divide each side by 4
y=7
Plug in the value of y in the equation of 8y + 18 since that's the value for MT
8(7) + 18 = 74
Hope this helps!
without using a calculator, choose the statement that best describes the value of \sqrt{10}
10
square root of, 10, end square root.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The value of \sqrt{10}
10
square root of, 10, end square root is between 222 and 2.52.52, point, 5.
(Choice B)
B
The value of \sqrt{10}
10
square root of, 10, end square root is between 2.52.52, point, 5 and 333.
(Choice C)
C
The value of \sqrt{10}
10
square root of, 10, end square root is between 333 and 3.53.53, point, 5.
(Choice D)
D
The value of \sqrt{10}
10
square root of, 10, end square root is between 3.53.53, point, 5 and 444.
Answer:
square root of,10,end square root is between 2.52.52,point,5and333
Answer:
Its choice B
Step-by-step explanation:
I got it from khan academy :)
Between 4.5 and 5
Four consecutive multiples of 3 have a sum of 78? What is the second largest number?
Answer:
26
Step-by-step explanation:
Let x be the first number
the second one is x+1 the third one is x+2 the sum is : x+ (x+1)+(x+2)= 78so : 3x+3 = 78 then : 3x = 75 finally x = 25 the second larger number is x+1 = 25+1 = 26Hannah has $1,000 in her savings account. During month 1, she withdraws $25. Each successive month, she withdraws $10 more than the previous month. The amount left in her account after 10 months can be represented by this expression How much remains in Hannah's savings account after 10 months?
Answer:
$300
Step-by-step explanation:
Though you didn't include the expression in the question but the question can be solved using the below method
Total savings=$1000
Month 1 withdrawal=$25
Each successive month=$10 more than the previous month
first month=$25
Second month=$35
Third month=$45
Fourth month=$55
Fifth month=$65
Sixth month=$75
Seventh month=$85
Eighth month =$95
Ninth month=$105
Tenth month=$115
Total withdrawal=25+35+45+55+65+75+85+95+105+115
=$700
The amount left in Hannah's savings account=Total savings - Total withdrawal
=$1000-$700
=$300
Answer:
A: $300
Step-by-step explanation:
Got it right.
work out 5^-2 x 3 square root 8
Answer:
6root(2)/25
Step-by-step explanation:
5^-2 = 1/25
3(root(8)) = 6(root(2))
so you get 6(root(2))(1/25)
= 6(root(2))/25
The required simplified value of the given expression is 0.34 or 6√2 / 25.
Given that,
Expression to simply ios given,
5⁻² x 3√8
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Simplification =>
= 5⁻² x 3√8
= 1/ 5⁻² x 3 x 2 √2
= 6√2 / 25
= 0.34
Thus, the required simplified value of the given expression is 0.34 or 6√2 / 25.
Learn more about arithmetic here:
brainly.com/question/14753192
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Which is true about the solution to the system of inequalities shown?
y 3x + 1
y 3x - 3
Only values that satisfy y 3x + 1 are solutions
Only values that satisfy y 3x3 are solutions
Values that satisfy either y a 3x + 1 orys 3x - 3 are solutions
There are no solutions
Answer:
There are no solutions
Step-by-step explanation:
need points for finals
Answer:
D.
Step-by-step explanation:
Please answer this now in two minutes
Answer:
[tex]7\sqrt{2}[/tex] meters
Step-by-step explanation:
This is a 45 45 90 triangle. This means that two sides of the triangle are equivalent. In this type of triangle, the two equal sides are represented by [tex]a[/tex] and the hypotenuse that you are trying to find (u) is represented by [tex]a\sqrt{2}[/tex]
Therefore, your answer is [tex]7\sqrt{2}[/tex] in simplest radical form.
Answer:
u= 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The missing side is u
sin 45°=7/u switch u and sin 45°u = 7/sin°45sin 45° = [tex]\frac{\sqrt{2} }{2}[/tex]
so :
u = 7*[tex]\frac{2}{\sqrt{2} }[/tex] u = 14/√2 u = [tex]\frac{7*\sqrt{2} ^{2} }{\sqrt{2} }[/tex] u = 7[tex]\sqrt{2}[/tex]help me please! i’m unsure of the formula and how to solve
Answer:
12.4 cm
Step-by-step explanation:
arc AB is calculated using
arc = circumference × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex]
= 2π × 7.9 × [tex]\frac{1}{4}[/tex]
= [tex]\frac{7.9\pi }{2}[/tex] ≈ 12.4 cm ( to the nearest tenth )
pleaseeeeeeeeeee helllllllllpppppppppppp
Answer:
a)16 (2*2*2*2= 16)
b)16 (-4*-4-16)(-+-=+)
c)500 (5*5*5=125 125*4=500)
d)0.49 (0.7*07)
e)480 (4^=16 9^=81 121^0=1 16+81 -1 =96 96*5=480)
f)5^2 or 25 (a^m/ a^n=a^m-n)
g) 11^14 (reason same as the f one)
h)8.20
i) 4(-4*16=64)
j)900
What is the surface area of the right rectangular prism?
Answer:
Step-by-step explanation:
Answer =250
l Length
10
w Width
5
h Height
5
What is the answer to this?
Answer:
40.1 cmsolution,
BC=8.4 cm
AB=12 cm
BD=4.1 cm
We have to find out: AC ,CD
using Pythagoras theorem:
In ∆ABC ,<B=90°
[tex] {(ac)}^{2} = {(ab)}^{2} + {(bc)}^{2} \\ {(ac)}^{2} = {(12)}^{2} + {(8.4)}^{2} \\ {(ac)}^{2} = 144 + 70.56 \\ {(ac)}^{2} = 214.56 \\ ac = \sqrt{214.56} \\ ac = 14.64 \: cm[/tex]
Similarly,
In ∆BCD, CB=90
[tex]cd = \sqrt{ {(8.4)}^{2} + {(4.1)}^{2} } [/tex]
[tex] = \sqrt{70.56 + 16.81} \\ = \sqrt{87.37} \\ = 9.34 \: cm[/tex]
Perimeter:
AC+CD+AD
=14.64+9.34+(12+4.1)
=40.08
= 40.1 cm
Hope this helps...
Good luck on your assignment..
Help me on this question please (view attachment)
Answer:
70 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees.
x + 65 + 45 = 180
x + 110 = 180
x = 180 - 110
x = 70
The size of angle x is 70 degrees.
Answer:
70
Step-by-step explanation:
180-65-45=70
Good luck
Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce and garlic powder costs $3 per ounce. The table shows the costs of the ingredients.What is the value of y in the table?
There isn't an obvious question to this problem but with the given we can assume what is to be asked. I think we are to find the total cost of a certain poultry seasoning. The poultry seasoning would have a total weight of 4+2=6 ounces. The total cost will then have to be 4(4) + 2(3) = 22 dollars.
Answer:
D. 6
Step-by-step explanation:
Got it correct on edg2020
Danny deposits $100 for the first month with the amount increasing by 5% each month. What is the equation
that represents this situation?
y = 100(1+0.05)
y = 100(1+0.05)x
b. y = 100+ 0.05x
d. y = 100x + 0.05
a.
c.
Answer:
answer is b). y = 100+ 0.05x
Step-by-step explanation:
Use the Distributive Property to write each expression as an equivalent algebraic expression. (7 + a)3 Question 4 options: 3(7a) 21 + 3a 10 + 3a 7 + 3a
Answer:
(B)21+3a
Step-by-step explanation:
An expression is said to be distributive when:
[tex](a+b)c=a \cdot c+b \cdot c[/tex]
Given the algebraic expression: (7 + a)3
Applying the distributive property
[tex](7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a[/tex]
An equivalent expression is 21+3a.
The correct option is B
Every proof needs Given and Prove statements. Use the endpoints on the diagram to write a Given statement indicating the down tube is longer than the top tube. Prove the relationship between the opposite angles of the given sides. (2 points; 1 point for the Given statement, 1 point for the Prove statement)
Answer:
m<ABC > m<ACB (angle property of a triangle)
Step-by-step explanation:
Given that: ΔABC
AB = AX
Prove: m<ABC > m<ACB
From the given diagram,
ΔABX is an isosceles triangle (two congruent sides and angles)
<AXB = m<ABX = [tex]90^{o}[/tex] (isosceles triangle property)
AC = AX + XC
Thus,
AC > AB
m<ABC = m1 + m3 ≥ [tex]90^{o}[/tex]
m<ACB < [tex]90^{o}[/tex] (acute angle property)
Therefore since in a triangle the longest side is opposite to the greatest angle, then;
m<ABC > m<ACB (angle property of a triangle)
I need answer ASAP
Annie wrote the following steps to solve a pair of equations: Step 1: y = −x − 5 y = 2x + 2 Step 2: 2y = −2x −10 y = 2x + 2 Which of the following shows the correct next step to solve the equations by eliminating x?
A. 3y = –5
B. 3y = –8
C. 3y = –12
D. 3y = –20
Answer:
The answer is B.
Step-by-step explanation:
2y = -2x - 10
y = 2x + 2 (combine like terms using addition)
_________
3y = -8
MULTIPLY: 9(2x-7y) PLEASE HELP!!!!!!! ASAP!!!!!
Answer:
18x - 63y.
Step-by-step explanation:
9(2x-7y)
= 9 * 2x - 9 * 7y
= 18x - 63y
Hope this helps!
Answer:
Step-by-step explanation:
Distribute (multiply) the 9 to both the 2x and -7y
You get: 18x -63y
This is because 9 times 2x is 18x. Furthermore, 9 times -7y is equal to -63y
Help please with the question
Answer:
try x=3.08
Step-by-step explanation:
Franklin's grandmother opened a savings account with $275 to help him save money for college. Franklin will deposit $55 each month. His grandmother will deposit $40 each month. If Franklin makes no additional deposits or withdrawals, which equation can be used to find A, the amount of money in Franklin's savings account after p months?
Answer:
X = 275 + 95p
Step-by-step explanation:
Hello,
This question requires us to write an expression to find how much he would've saved over a certain period of time.
Initial deposit = $275
Franklin's monthly deposit = $55
Franklin grandmother's deposit = $40
Let the amount he would've saved over a certain period of time p = x
X = 275 + (55 + 40)p
X = 275 + 95p
Eg, how much would he have saved in 5 months
X = 275 + 95(5)
X = 275 + 475
X = $750
I.e in 5 months, he would've saved $750