Answer:
The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]
The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm
Step-by-step explanation:
The cookie is formed by two layers, the cookie and the frosting. So if we want to know the total thickness of the cookie and frosting we need to sum the thickness of each layer as shown below:
[tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}\\\text{total thickness} = \frac{9}{10} + \frac{33}{100}\\\\\text{total thickness} = \frac{10*9 + 33}{100}\\\\\text{total thickness} = \frac{123}{100} \text{ cm}[/tex]
The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]
The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm
A set of numbers is said to be COMMUTATIVE under the operation '+' if m + n = n + m, for any two numbers m and n of that set. Similarly, a set of numbers is said to be COMMUTATIVE under the operation '×' if m × n = n × m.
Which of the following sets is COMMUTATIVE under the operation '-'?
A)the set of integers
B)the set of natural numbers
C)the set of rational numbers
D)none of the above
Answer:
A) the set of integers is commutative under operation '-'
The commutative property holds for Addition and Multiplication, but not for subtraction and division.
So, option (D) is correct.
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
The commutative property holds for Addition and Multiplication,
Example, [tex]2+4=4+2[/tex]
[tex]3*2=2*3[/tex]
The commutative property does not holds for subtraction and division.
Example, [tex]3-2\neq 2-3[/tex]
[tex]4/2\neq 2/4[/tex]
Learn more:
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What is the answer to this question 3 x 1/5 =?
Answer:
.6
Step-by-step explanation:
There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability of randomly selecting a strawberry-flavored candy from the box is 1/3, find the total number of candies in the box.
Answer:
The answer is: 12 total candies
Step-by-step explanation
c = caramel-flavored
s = strawberry-flavored
so if there are 1/3 strawberry-flavored so that means there are 2/3 caramel-flavored. we know there are 8 caramel-flavored so if 8 is 2/3 of all the candies that means 4 is how many strawberry-flavored we have 12 total candies.
PLEASE HURRY!!! What is the value of p in the equation?
One-fourth (8 minus 4 p) + 2 p = 12 Here are the answer choices...
–20
–2
5
10
Answer:
10
Step-by-step explanation:
took the test on edge
-21 +3 = -9r in the form of -2(x-p)2+q=
Answer:
1.28 Step-by-step explanation: got
Find the midpoint of the line segment with end coordinates of: ( − 2 , − 5 ) and ( 3 , − 2).
Give coordinates as decimals where appropriate.
Answer:
Midpoint of the line segment = ( 0.5 ,-3.5) =
Step-by-step explanation:
Given the co-ordinates of two points are
(-2 , -5) and ( 3, -2)
Let (x₁ , y₁) = ( -2 , -5)
(x₂ , y₂) = ( 3 , -2 )
Midpoint of the line segment
= [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]
Midpoint of the line segment
= [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]
Midpoint of the line segment = ( 0.5 ,-3.5)
A convex polyhedron is made of 12 congruent faces like the one shown below. What is the name of the solid? A) dodecahedron ANSWER: A B) icosahedron C) pentagonal pyramid D) pentagonal prism
Answer: dodecahedron
Step-by-step explanation:
Answer:
Option A
Explanation:
Decahedron
This month the local power company charges $9.12 per kilowatt-hour for electricity. Write an equation that represents the total amount a customer will pay for their usage.
Answer:
9.12 x time x kilowatt
Step-by-step explanation:
I’ll mark you brainliest! What is the answer???
Answer:
A
Step-by-step explanation:
[tex]f(x)=9(3)^x \\\\\\f(-3)=9(3)^{-3}= \\\\\\9\left(\dfrac{1}{3^3} \right)= \\\\\\9\left(\dfrac{1}{27} \right)= \\\\\\\dfrac{9}{27}= \\\\\\\dfrac{1}{3}[/tex]
Hope this helps!
make x the subject of the formula 6x+a=5(x+t)
Answer:
x= 5t - a
Step-by-step explanation:
6x + a = 5(x+t)
If you expand 5(x+t), you will get 5x + 5t
i.e. 6x + a = 5x + 5t
Add the additive inverse of 5x to both sides (The additive inverse of 5x is -5x)
i.e. 6x + a - 5x = 5x + 5t - 5x
x + a = 5t
Then, add the additive inverse of "a" to both sides (The additive inverse of a is -a)
i.e. x + a - a = 5t - a
x = 5t - a
Hope this helps!!!
What is the Q1 and Q3?
4,6,8,9,13,21,31
The data is already sorted for us. If it wasn't, then you would have to write the values from smallest to largest.
The median is the middle most value 9 (in slot 4)
The median separates the data into two halves, which I'll call the lower and upper half
lower half = {4,6,8}
upper half = {13,21,31}
The median of the lower half is 6, and this is the value of Q1.
The median of the upper half is 21. This is the value of Q3
Can someone please help me with this question?
Answer:
Row related frequencies
twins in family history Twins not in Total
family history
Twins born 8 / 34 = 0.2353 26 / 34= 0.7647 1
single child born :125 / 966 = 0.1294 841 / 966 = 0.8706 1
Step-by-step explanation:
Given table twins in twins not in
family history family history total
Twins born 8 26 34
single child born 125 841 966
Total 133 867 1000
Row related frequencies
Given table twins in family history Twins not in Total
family history
Twins born 8 / 34 = 0.2353 26 / 34= 0.7647 1
single child born 125 / 966 = 0.1294 841 / 966 = 0.8706 1
Total 0.3647 1.6353
Can someone please help me
Answer:
SSS
Step-by-step explanation:
3 sides are similar, so the triangles are similar.
Can someone help me with math please?
Answer:
Multiply 60 by 2.5 centimetres
60×2.5=150
Suppose f(x) = x^2 and g(x) = (1/4)^2. Which statement best compares the graph of g(x) with the graph of f(x)
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4
El resultado de la siguiente adición (- 6 x ᶺ 4 – 4 x ᶺ 3 + 7 x ᶺ 2 – 2 x) + (- 6 x ᶺ 3 + 4 x ᶺ 2 – 8 x + 10) es (Procedimiento)
- 6 x⁴ - 4 x³ + 7 x² - 2 x
+ .. . . - 6 x³ + 4 x² - 8 x + 10
------------------------------------------------------
-6 x⁴ -10 x³ + 11 x² -10 x + 10
Help idk how to do this
Answer:
y = 62°
Step-by-step explanation:
z represents the mid segment of the triangle.
Since, midsegment is parallel to the third side of the triangle.
[tex] \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ [/tex]
What is the measure of angle BCD? WILL GIVE BRAINLIEST!
Answer:
m∠BCD = 120°
Step-by-step explanation:
Since the interior angles of a quadrilateral add up to 360°, then we get:
2x+x+2x+x=360°
6x=360°
Divide both sides by 6
x=60°
Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.
Please answer correctly !!!!!!!! Will
Mark brainliest !!!!!!!!!!!
Answer: Z²+ 9Z + 8
Step-by-step explanation:
You take the two z's and times them to get Z² then you do the Z times 1 to get 1Z then you do the Z times 8 to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z. The you put it in standard form to get Z²+9Z+8
What is the length of the side opposite ZB?
3 units
4 units
5 units
6 units
Answer: 4 units
Step-by-step explanation:
The side that is opposite of B would be the side that is across from B
3 is across from A
5 is across from C
4 is across from B
The question is an illustration of right triangles
The length of the side opposite angle B is 4 units
From the figure, we can see that the triangle is a right triangle, with the following angles
Angle B
Angle A
Angle C
The triangle is right-angled at angle C.
From the figure, the length opposite angle B is length AC.
Where
AC = 4
Hence, the length of the side opposite angle B is 4 units
Read more about isosceles right triangle at:
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What are the solutions of the system 7x + 3y = -3 and y = -2x? (-1, 0) and (0, -1) (-8, 3) and (3, -8) (-1, 0) and (-8, 3) (0, -1) and (3, -8)
The solution of the system of equation can be solved by using substitution method. Therefore, the solutions of the system 7x + 3y = -3 and y = -2x is (-3, 6)
How to find solution to the system of equation
7x + 3y = - 3
y = - 2x
Substitute the value of y in equation(i)
Therefore,
7x + 3(- 2x) = -3
7x - 6x = -3
x = -3
Let's find y by substituting the value of x in equation(ii)
y = -2x
y = -2(-3)
y = 6
Therefore, the solution set of the equation is (-3, 6)
learn more on system of equation; https://brainly.com/question/1632711
The sides of a polygon have lengths 5, 7, 8, 11, and 19 units. The perimeter of a similar polygon is 75 units. Find the lengths of the sides of the larger polygon
The perimeter of small polygon is 50 units. The length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.
What is polygon?
Polygon in geometry is "any closed curve consisting of set line segments connected such that two segment across".
According to the question,
Lengths of sides of polygon is 5 units, 7 units, 8 units, 11 units, and 19 units.
Formula for Polygon = sum of sides
Perimeter of first polygon = 5 + 7 + 8 + 11 +19
= 50 units.
Perimeter of second polygon = 75 units.
Divide second polygon by first polygon = 75/50 = 1.5 units
This conclude, second polygon is 1.5 units larger than first polygon.
In order to find the length of the sides of larger polygon by given, first polygon and second polygon are similar polygon multiply 1.5 units to the length sides of first Polygon.
5 * 1.5 = 7.5
7 * 1.5 = 10.5
8 * 1.5 = 12
11 * 1.5 = 16.5
19 * 1.5 = 28.5
Hence, the length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.
Learn more about Polygon here
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If p q is true, then q p is ____ false
Answer:
True
Step-by-step explanation:
Logic: if 3+4 =7 then 4+3 also = 7 or 3*4 =12 then 4*3 is also 12 etc.
Calving works totally for 3 hours in weekdays and 5 hours in weekends. How many hours does he works in 4 weeks?
A. 36 hours
B. 32 hours
C. 20 hours
D. 12 hours
Answer:
B. 32
Step-by-step explanation:
5+3=8
8×4=32
// have a great day //
if a car cover a distance of 189km in 4.5 hours, what is it average speed?
Answer: 42 kmh
Step-by-step explanation:
Speed = distance / time
= 189 / 4.5
= 42 kmh
Answer:
Average Speed = 42 km/hr
Step-by-step explanation:
Given:
Distance = 189 km
Time = 4.5 hours
Required:
Average Speed = ?
Formula :
Average Speed = Total Distance Covered/ Total Time Taken
Solution:
Putting the givens
Average Speed = 189/4.5
Average Speed = 42 km/hr
How do I solve this problem???
Answer:
[tex]25.1cm^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h=\pi *2^2*2=25.13274\\=25.1cm^3[/tex]
melissa is driving along a highway at a constant soeed of 65 mph. how long does it take her to travel 90 miles?
Answer:
1.4 hours or 83 minutes
Step-by-step explanation:
90 mi / 65 mph = 1.4 hr
Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.
What is the speed?Speed is the rate of distance covered in a particular time.
It is equal to distance/time
How to calculate time?We know that speed=distance/time
so the time will be =90/65
which will be equal to1.44 hour
Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.
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oPr
on (x - 2)(x + 5) = 0?
________________________________
Hey!!
Solution,
(x-2)(X+5)=0
Either,
x-2=0
X=0+2
X=2
or,
X+5=0
X=0-5
X=-5
Hope it helps
Good luck on your assignment
____________________________
Which of the following points does not lie in the solution set to the inequality y = 1/3x + 5?
A) (6,3)
C) (-3,8)
D) (12,3)
B is wrong
Answer:
The answer is A: (3,6)
What’s this problem
Answer:
use FOIL- Firsts Outsides Insides Lasts
Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24iInsides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2Simplify by adding like terms which is -24i and -9i. 12+-33i+18i^2 is the answer