The amount of meat that is to be added to each sandwich is expressed as a fraction of a unit mass of one pound.
First part
Number of roast beef sandwiches are 11 sandwiches.Number of turkey sandwiches are 7 sandwiches.Number of salami sandwiches are 8 sandwiches.Second part
All the roast beef left are usedThe amount of salami left is 0.0625 lb.The amount of turkey left is 0.125 lb.Reasons:
The amount of roast beef = 2 and 3/4 lb
The amount of turkey = 1 and 7/8 pounds
The quantity of salami = 2 1/16 pounds
The amount of meat that goes with a sandwich = 1/4 pounds
[tex]\displaystyle Sandwiches \ with \ roast \ beef = \mathbf{\frac{2 + \frac{3}{4} }{\frac{1}{4} }} = 11[/tex]
The number of roast beef sandwiches that can be made = 11 sandwiches
[tex]\displaystyle Sandwiches \ with \ turkey =\frac{1 + \frac{7}{8} }{\frac{1}{4} } = \mathbf{7.5}[/tex]
The number of turkey sandwiches that can be made = 7 sandwiches
[tex]\displaystyle Sandwiches \ with \ salami = \frac{2 + \frac{1}{16} }{\frac{1}{4} } = \mathbf{8.25}[/tex]
The number of salami sandwiches that can be made = 8 sandwiches
The total number of whole sandwiches = 11 + 7 + 8 = 26
The total number of whole sandwiches that can be made = 26 sandwiches
The amount of each meat left is given by the product of the fraction of a sandwich made by the meat and [tex]\displaystyle \mathbf{\frac{1}{4}}[/tex]
Therefore;
The amount of roast beef left = 0 × [tex]\displaystyle \frac{1}{4}[/tex] = 0
[tex]\displaystyle The \ amount \ of \ turkey \ left = 0.5 \ lb \times \frac{1}{4} = \underline{0.125\ lb}[/tex]
[tex]\displaystyle The \ amount \ of \ salami\ left = 0.25 \ lb \times \frac{1}{4} = \underline{0.0625 \ lb}[/tex]
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Could you please help me?!
Answer:
Step-by-step explanation:
Facts to know :
-diagonals of rhombus are angle bisector so angle A is double 28
∡A = 28*2 = 56°
-opposite angles in a rhombus are congruent so angle A and angle C have the same measure
∡C = 56°
-the sum of angles in a rhombus is 360°
360 - 2*56 = 360-112 = 248
248 /2 = 124
∡B = ∡D = 124°
Solve:
2/5 + 4/10 = ?
BRAINLIEST AND POINTS IF U ANSWER GOOD PLS ANSWERR
A 6/10
B 6/15
C 2/15
D 8/10
Answer:
Option D is correct.
Step-by-step explanation:
2/5 + 4/10
=> 2/5 + 2/5
=> 4/5
4/5 = 8/10
Therefore, Option D is correct.
Hoped this helped.
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point
For example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
Rachel, Neil, Caroline share an amount of money.
Rachel gets five time as much money as Neil gets.
Rachel get half as much money as Caroline gets.
what fraction of the amount of money does Rachel get?
The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]
Let [tex]R[/tex] be the amount of money Rachel has
Let [tex]N[/tex] be the amount of money Neil has
Let [tex]C[/tex] be the amount of money Caroline has
Let [tex]M[/tex] be the total amount of money shared between the three people
Then, from the problem we have the following relationships
[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]
Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get
[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]
Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]
Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.
For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685
in a subway, x men and y women travel. explain what is meant by the expression: y-x
Answer:
Step-by-step explanation:
y - x means the the difference in the number of women compared with men.
So if there are 20 women and 14 men, y - x = 20 -1 4 = 6 , that is 6 more women than men.
If there are more men than women then y - x will have a negative value, and there will be, if we flip the above numbers. 6 more men than women.
find the domain below
Answer:
Interval Notation: [-2, 10]
Set Notation: {x|-2≤x≤10}
Step-by-step explanation:
A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1 ft below its average water level of 10 ft. It begins to rise by a constant rate of 1.5 ft per hour.
Will the river reach a level of 7 ft above normal after 5 hours? Explain.
The river will not reach a level of 7 ft. after 5 hours.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the height of the water level after x hours.
Since the river is 1 ft below its average water level and begins to rise by a constant rate of 1.5 ft per hour. Hence:
b = -1, m = 1.5. The equation becomes:
y = 1.5x - 1
To reach a level of 7 ft. That is y = 7:
7 = 1.5x - 1
1.5x = 8
x = 5.3 hours
The river will not reach a level of 7 ft. after 5 hours.
Find out more at: https://brainly.com/question/13911928
Answer:
6.5, will not
Step-by-step explanation:
The water level is 6.5 ft above normal after 5 hours, so it
will not reach a level of 7 ft above normal after 5 hours.
how do I show how the area of a rectangle is found when the area is 2352cm²
Answer:
Just Multiply L×B And you'll get it
And if you want me to solve then give a image!
Hope its helps!
Mark me BRAINLIESTA=2a-3b solve for b PLEASE WIKK GIVE BRAINLY
Answer:
[tex]\frac{a}{3} =b[/tex]
Step-by-step explanation:
a = 2a - 3b
→ Minus 2a from both sides
-a = -3b
→ Multiply everything by -1
a = 3b
→ Divide both sides by 3
[tex]\frac{a}{3} =b[/tex]
Answer:
b = 2/3a -1/3A
Step-by-step explanation:
A=2a-3b
Subtract 2a from each side
A-2a=2a-2a-3b
A -2a = -3b
Divide each side by -3
A/-3 -2a/-3 = -3b/-3
-A/3 + 2/3a = b
b = 2/3a -1/3A
pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3
Answer:
i think its the 3rd option
Step-by-step explanation:
i'd'k what it is but you can read it over and over again
(p.s Brainleist?)
Answer:
x=22/3
Step-by-step explanation:
Please help me asap
DO NOT USE LINKS
Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)
Step by Step please
Answer:
35.113 km per hour is the correct answer
geometry solve for X
Graph the following features:
Slope = -3/4 y intercept: -3
Answer:
The graph is attached
Kevin hiked 4 miles in 135 minutes. Which equation can be used to find how many hours it took Kevin to hike the 4 miles?
Answer:
135 divided by 4
Step-by-step explanation:
Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed
question 8
what does the following expression equal when y = 3
2 x (y - 5)
Answer:
-4
Step-by-step explanation:
3 - 5 = -2
2 x -2 = -4
Remember BIDMAS (adding this because of character limit)
Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?
Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
Continuous compounding:
[tex]A(t) = Pe^{rt}[/tex]
The parameters are:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.For both of them:
Investment of $970, hence [tex]P = 970[/tex]Invested for 8 years, hence [tex]t = 8[/tex]Elizabeth:
Compounded daily, hence [tex]n = 365[/tex].Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]
[tex]A(8) = 1648[/tex]
Matthew:
Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].Then:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A(8) = 970e^{0.0675(8)}[/tex]
[tex]A(8) = 1665[/tex]
The difference is:
1665 - 1648 = 17
Hence, Matthew would have $17 more than Elizabeth in his account.
A similar problem is given at https://brainly.com/question/24507395
Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.
Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how many
cans should Grayson leave for the time he is away?
Answer:
1 12 ounce can would last 18 days, I don't know how long he is planning on leaving his dogs
Round 0.817446 to the ten-thousandths place. Please I need this fast!!!!
What is the value of y when the value of x is 1?
if the value of x is 1 then the y value is 6
simplify this addition 20+(-6x)+6x+(-20)
Answer:
0
Step-by-step explanation:
20+(-6x)+6x+(-20)=20-6x+6x-20
=0
Plzzz help I’ll give u 30 pts
Answer: number 4 is +(positive) because the exponent is even.
Number 5 is -(negative) because the exponent is odd.
Step-by-step explanation:
7) Solution:
→ (2)³
→ 2 × 2 × 2 {Expanded form}
→ +8
Ans: Positive
4) Solution:
→ (-6)⁴
→ -6 × -6 × -6 × -6
→ +1296
Ans: Positive
5) Solution:
→ (-3)⁷
→ -3 × -3 × -3 × -3 × -3 × -3 × -3
→ -2187
Ans: Negative
What is the estimate for 38? in Estimate roots?
If x=5 and y=3 find the value of x+2y
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
Select all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)
Answer:
(–4)(9)
(6)(–6)
(6)(6)(–2)
Step-by-step explanation:
(–4)(–9)(2)
=36(2)
=72, No
(–4)(9)
=-36, Yes
(6)(6)(–2)
=36(-2)
=-72, Yes
(–6)(–6)
=36, No
(6)(–6)
=-36, Yes
A. x=68. y= 75
B. x= 75. v = 68
C. x= 40, y = 68
D. x= 75. y = 70
Answer:
the answer is B. x=75 y=68
Answer:
B. x = 75, y = 68
Step-by-step explanation:
Which function could be used to represent the sequence 8, 20, 50,
125, 312.5...., given that a, = 8?
(1) a, = 4,- 1 ta
(3) 4, = 4, + 1.5(, -1)
(2) a. = 2.5(
4-1) (4) 4 = (a), -1)
Answer: a = 2.5 (an-1)
Step-by-step explanation: trust me;)
The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
What is geometric progression?sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of numbers.
Formula for nth term of geometric progression[tex]a_{n} =ar^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression
n is the total number of terms
r is the common ratio
and a is the first term
According to the given question
We have
A geometric progression
8, 20, 50, 125, 312.5
Now the common ratio for the above progression is given by
[tex]r = \frac{20}{8} = 2.5[/tex]
And the first term is
a = 8
Therefore, the function which is used to represent the above sequence is given by
[tex]a_{n} = 8(2.5)^{n-1}[/tex]
Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
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$75 is shared between Amy and Mary in the ratio 2:3. Amy's share would be ?
amys share would be 45:30 so amys is 45 and marys 30
Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.
Constant rates are used to illustrate linear functions.
The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5(a) The average rate of change
This is calculated using:
[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]
[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]
[tex]\mathbf{Rate = 9.0}[/tex]
Hence, the average rate of change is $9.0 per hour
(b) A function that models the table of values
Let x represent hours, and y represent the earnings.
So, we have:
[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]
Where:
m =Rate = 9.0
So, we have:
[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]
Expand
[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]
[tex]\mathbf{y = 9x }[/tex]
Represent as a function
[tex]\mathbf{f(x) = 9x }[/tex]
Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]
(c) Amount earned for 7.5 hours
This means that x = 7.5
So, we have:
[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]
[tex]\mathbf{f(7.5) = 67.5}[/tex]
Hence, the amount earned in 7.5 hours is $67.5
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