Mrs. Johnson bought 12 pound of ham and used it to make 3 sandwiches. She uses the same amount of ham on each sandwich. What fraction of a pound of ham is on each sandwich
The fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b =[/tex] a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For this case, we're specified that:
Total ham Mrs. Johnson bought = 12 poundsTotal sandwiches that she makes of that amount of ham = 312 pound of ham is divided in 3 parts for 3 sandwiches (assuming equally divided).
That means:
Amount of ham each sandwich gets = 12 divided by 3 = 12/3 = 4 pounds.
To find the fraction of a pound of ham that is on each sandwich, we find what part of a pound is 4 pounds.
If we take 4 times a pound, then we get 4 pounds.
Thus, 4 of a pound = 4 pound
In fraction, we have: 4 pounds = 4/1 fraction of a pound.
Thus, the fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1 fraction of a pound
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PLEASE HURRY!!!!!
EXPLAIN why or why not.
Answer:
The graph is not a line of best fit as there are not an equal number of data points on each side of the line
Step-by-step explanation:
Brainliest would be appreciated
Find the surface area of the prism.
HEEEELP PLEASE!!!!!
Let the vertices of the prism be A, B, C, D, E, F, G, and H. (Refer to image).
From the image, we can tell that the faces of the prism are:
ABFG HDCE FBCE GADH GFEH ABCD
Part II: Recalling the surface area formulaSurface area formula:
[tex]\text{Surface area = Sum of the area of it's faces}[/tex]
The faces are ABFG, HDCE, FBCE, GADH, GFEH, and ABCD (Previous Part)
[tex]\implies \text{SA = A(ABFG) + A(HDCE) + A(FBCE) + A(GADH) + A(GFEH) + A(ABCD)}[/tex]
Part III: Determining the surface area of the prismIf we look at the prism carefully, we can tell that:
ABFG = DCEH
GADH = FBCE
GFEH = ABCD
Therefore, the new equation is:
[tex]\implies \text{SA = 2[A(ABFG)] + 2[A(GADH)] + 2[A(GFEH)]}[/tex]
If we look carefully, we can see that GADH and ABFG are rectangles. Therefore, their areas will be length multiplied by width. Now, substitute the dimensions of the rectangles in the surface area.
[tex]\implies \text{SA} = 2[4 \times 4] + 2[2.5 \times 4] + \text{2[A(GFEH)]}[/tex]
The area of a parallelogram is the base multiplied by the height.
[tex]\implies \text{SA}= 2[4 \times 4] + 2[2.5 \times4] + 2[4 \times 2]}[/tex]
Finally, simplify the equation to determine the surface area.
[tex]\implies \text{SA} = 2[16] + 2[10] + 2[8][/tex]
[tex]\implies \text{SA} = 32 + 20 + 16[/tex]
[tex]\implies \boxed{\text{SA = 68 m}^{2} }[/tex]
A cylindrical tank whose diameter and height are 2.1m and 4m respectively is filled with water whose density is 1g/cm^3.calculate the mass of the water in kg.
Step-by-step explanation:
I assume it means the task is filled completely.
diameter = 2.1 m
therefore, radius = diameter/2 = 2.1/2 = 1.05 m
height = 4 m
volume of a cylinder is
ground area × height, so
pi×r² × height = pi×1.05²×4 = 13.8544236... m³
1 cm³ is 1g
for 1 kg (remember, "k" stands for "kilo" and means 1000) we need therefore 1000 cm³ (which is a cube of 10 cm side length).
how many cm³ are in 13.8544236... m³ ?
1 m = 100 cm
1 m² = 1 m × 1 m = 100×100 = 10,000 cm²
1 m³ = 1 m × 1 m × 1 m = 100×100×100 = 1,000,000 cm³
that means a factor of 1,000,000 !
so, the volume of the cylinder is
13.8544236... × 1,000,000 = 13,854,423.6... cm³
to get the mass of kg of that much water we need now to divide by 1000 :
13,854,423.6... / 1000 = 13,854.4236... kg
which is, by the way, 13.8544236... tons.
yes, 1 m³ of water is 1 ton ...
I don't know, if you need to round the result.
if you e.g. only need full kg, then the answer would be
13,854 kg.
If x is a positive acute angle and cos x = 1/2, what is the value of sin 1/2 x?
A)1
B)2
C) square root 3/ 2
D)1/2
Jenna bought 3 shirts for $62.25 if each shirt cost the same amount what is the cost of one shirt
Answer:
The cost of one shirt is $20.75.
Step-by-step explanation:
Total Cost/3 Shirts = The Cost of 1 Shirt
62.25/3 = 20.75
please answer this question
Answer:
e
Step-by-step explanation:
the coordinates of the midpoint are the average of the coordinates of the endpoints.
let coordinates of C = (x, y ) , then with A = (- 1, 2 ) calculate the average and equate to the coordinates of B (3, 2 )
[tex]\frac{x-1}{2}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )
x - 1 = 6 ( add 1 to both sides )
x = 7
and
[tex]\frac{y+2}{2}[/tex] = 2 ( multiply both sides by 2 )
y + 2 = 4 ( subtract 2 from both sides )
y = 2
coordinates of C = (7, 2 )
URGENTLY NEEDING HELP!!!!
Answer:
(6,-1)
Step-by-step explanation:
it's given 2m and m is at point (4,-3) increasing each point by 2 = (6,-1).
not sure
PLEASE HELP ASAP:)!!
Zachary's cornfields are irrigated in circular regions. Zachary records data on the corn production from various irrigated circular regions,
Radius (ft)
500
1,000
1,500
2,000
2. 500
Bushels of Corn
2,705
10,818
24 341
43,273
67,613
What type of function best models the given data set?
A constant
B. Exponential
C. Linear
D. Quadratic
Answer:
Quadratic
Step-by-step explanation:
2705/500 = 5.41
10,818/1000 = 10.818
24 341/1,500 =24.227
43,273/2000 = 21.6365
67,613/2500 = 27.0452
Rate of change changes
On average, what value is expected for the f-ratio if the null hypothesis is true?.
The expected value of the f-ratio is the mean value
On average, the expected value for the f-ratio is 1.00 if the null hypothesis is true
How to determine the expected value?From the question, we understand that the null hypothesis is true and the distribution is the F-ratio
The above scenario means that:
The variance of the top and the bottom ratio are the same
When the ratios are the same and the null hypothesis is accepted, then the expected value is 1.00
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Find the Missing Numerator and Denominator
3/? x ?/4 = 9/20
PLEASE HELP I WILL MARK YOU AS BRAINLEST!
Answer:
missing denominator: 5
missing numerator: 3
Step-by-step explanation:
You know the product of fractions is formed by multiplying numerators and multiplying denominators.
[tex]\dfrac{3}{d}\times\dfrac{n}{4}=\dfrac{3n}{4d}=\dfrac{9}{20}[/tex]
This gives rise to two equations:
3n = 9 ⇒ n = 3
4d = 20 ⇒ d = 5
The missing denominator is 5; the missing numerator is 3.
__
[tex]\dfrac{3}{5}\times\dfrac{3}{4}=\dfrac{9}{20}[/tex]
Ik this isn’t a math question but I want to know how much this beanie boo is cause I’m planning on selling it
Step-by-step explanation:
That's a rare Halo II angel bear, especially since it has a brown nose. Don't sell it less than $40, you can check prices on many websites
What does this data mean in terms of likelihood for a person from a particular geographic area to be dairy tolerant
The data shows a person from regions such as Northern Europe, Middle East 2, and East Africa will have a high dairy tolerance.
What is Dairy tolerance?This is characterized by unpleasant symptoms when the body doesn't produce enough lactase to digest the lactose consumed.
From the data, the regions which shows high dairy tolerance are those from Northern Europe, Middle East 2, and East Africa.
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At the afternoon matinee movie, 2 adult tickets and 4 child tickets cost $38, and 5 adult tickets and 2 child tickets cost $55. Which two equations can be used to determine the price of each ticket?
Answer:
for two adult and 4 children$38÷6
for five adult and two children
$55÷7
Step-by-step explanation:
they did not mansion that how much adult and children tickets cost so I thought their prizes are the same and I add the values of people and take money devide with the values of people togetherSOLVE CORRECTLY FOR BRAINLIEST! QUESTION DISPLAYED BELOW:
Answer:
2
Step-by-step explanation:
We are given:
t = -11
u = 11
v = 1
Plug in the values to (tv-u) / tv:
((-11)(1) - 11) / (-11)1
(-11-11) / -11
-22 / -11
= 2
need some help with the question in the image
Cheers
Describe the pattern in the sequence. Find the next two terms of the difference.
-2, -5, -8, -11, ...
Answer:
-14,-17
I hope this is useful
What will be the coordinates of point A after a reflection across the x-axis?
A
(6,−2)
B
(6,−5)
C
(−1,5)
D
(−6,5)
Answer:
OPTION B
Step-by-step explanation:
(6,-5)
I HOPE IT HELPED YOU
George works at Whataburger. He makes $8. 50 per hour and works a maximum of 25
hours per week. The equation e = 8. 50h can be used to determine the amount of money,
e, that George earns after h hours worked. What is the domain and range that represents
this situation?
A Domain: 0 Shs 25
Range: 0 ses 212. 50
B Domain: Oshs 212. 50
Range: 0 ses 25
C Domain: 8. 50 Range: 0 ses 212. 50
D Domain: Oshs 8. 50
Range: 0 ses 212. 50
Answer:
200 should be
Step-by-step explanation: mhm yes yes
PLS HELP FAST!!
What is the mean of this data set?
3, 5, 10, 11, 15
Answer:
8.8
Step-by-step explanation:
To find mean, add all of the numbers together, then divide that sum by how many numbers there are.
3 + 5 + 10 + 11 + 15 = 44
44 ÷ 5 = 8.8
hope this helps!
Step-by-step explanation:
3+5+10+11+15÷5=
44 divided by 5 which gives 8.4
therefore that is the mean hope this helps
Number 19. Please!hurry!
Answer:
Step-by-step explanation:
1. On a certain TV station, there are 4 commercials during
every 30-minute period. How many minutes of TV do you
need to watch to have watched more than 10 commercials?
2018 30 31 SW
Find the base of a parallelogram with an area of 18 square inches and a
height of 2 inches.
Answer:
9 inches
Step-by-step explanation:
Formula: ( area of a parallelogram)
area = base × height
_______________
then
base = area/height
= 18/2
= 9
PLEASE HELP MEEEE!!!!! 20 POINTS + BRAINLYEST!!!
(No links please)
If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side?
A tree casts a 13-foot shadow. The distance from the top of the tree to the far end of the shadow is 22 feet. If the tree is perfectly straight and creates a right angle with the ground. How tall is the tree?
How can you use the Pythagorean Theorem to find the distance between two points on the coordinate plane?
A cone has a radius of 6 inches and a height of 11 inches. What is the volume of the cone?
Answer:
1) 46.64
2) 17.75
3) 414.69
Step-by-step explanation:
13^2 -5^2=sqrt2172=46.64
22^2-13^2=sqrt315=17.75
V=πr2h
11/3=π·62·11
11/3≈414.69
PLS HELP !!! I just dont understand im not smart-
Answer:
Let's first find the area of the rectangle/rectangle,
we can do this by combining their lengths as a whole
or
we can individually find their area.
Let's find the area of the individual shapes, upper rectangle;
(using the formula)
A = l x w
Where 'l' represents the length and 'w' stands for the width.
Plug in what you know:-
A = 27(24)
A = 648 square feet is the area of the upper rectangle.
Now, the lower rectangle:
A = l x w
Plug in what you know:-
A = 27(32)
A = 864 square feet is the area of the lower rectangle.
Now we find the area of the triangle beside;
(using the formula)
A = BH x 1/2
Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.
Plug in what you know:
A = BH x 1/2
A = 18(32) x 1/2
A = 576 x 1/2
A = 576/2
A = 288 square feet is the area of the triangle beside.
Add up all the areas we've gathered so far:
648 + 864 + 288
= 1,800 square feet is the area of the patio
Answer:
Let's first find the area of the rectangle/rectangle,we can do this by combining their lengths as a wholeorwe can individually find their area.Let's find the area of the individual shapes, upper rectangle;(using the formula)A = l x wWhere 'l' represents the length and 'w' stands for the width.Plug in what you know:-A = 27(24)A = 648 square feet is the area of the upper rectangle.Now, the lower rectangle:A = l x wPlug in what you know:-A = 27(32)A = 864 square feet is the area of the lower rectangle.Now we find the area of the triangle beside;(using the formula)A = BH x 1/2Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.Plug in what you know:A = BH x 1/2A = 18(32) x 1/2A = 576 x 1/2A = 576/2A = 288 square feet is the area of the triangle beside.Add up all the areas we've gathered so far:648 + 864 + 288= 1,800 square feet is the area of the patio
Step-by-step explanation:
Trent bought four pounds of deli turkey for $2.68 per pound. How much did he spend? $8.42
what is the solution to the exponential equation (½)x = 32
Answer:
Step-by-step explanation:
log(1/2) (32) =x
A triangle has a perimeter of 16x + 4. If Side 1 is 3x + 2, Side 2 is 8x + 7, what is the measure of Side 3? Show your work
Answer:
Side 3 = a - 2
Step-by-step explanation:
Perimeter of a ∆ = sum of all the sides of a triangle
Perimeter of the given ∆ = 6a + 3 units
Side 1 = 2(a + 3)
Side 2 = 3a - 1
Side 3 = ?
Therefore:
Side 3 = Perimeter - sum of side 1 and 2
Thus:
Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]
Side 3 = 6a + 3 - [2a + 6 + 3a - 1]
Side 3 = 6a + 3 - [5a + 5]
Side 3 = 6a + 3 - 5a - 5
Side 3 = a - 2
Step-by-step explanation:
Find the volume of the following rectangular prism in terms of x, if the length is 4x + 0. 5, the width is 1/2 x, and the depth is x -2
The volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
Volume of a prismThe formula for calculating the volume of a prism is expressed as
V = lwh
l is the length
w is the width
h is the height
Given the following
l =4x + 0.5
w = 1/2x
h = x - 2
Find the volume
V(x) = (4x+ 0.5)(0.5x)(x - 2)
Hence the volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
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How many 15° angles are in a circle?
Enter your answer in the box.
angles
Answer:
24
Step-by-step explanation:
a circle is 360
we can divide 360 by 15
360 divided by 15 =
24