Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars and cents did charli pay for the pears and grapes?
Answers
Answer:
\(Total = \$5.94\) ---- in dollars
\(Total = 594\ cents\) ---- in cents
5 dollars 94 cents
Step-by-step explanation:
Given
Pears
\(Weight = 2\frac{3}{4}\ lb\)
\(Amount = \$0.76\) per pound
Grapes
\(Weight = 2\frac{3}{4}\ lb\)
\(Amount = \$1.40\) per pound
Required
Determine the amount paid for the fruit in dollar and cents
First, we need to calculate the amount paid for each fruit.
This is calculated by multiplying the amount per pound by the number of pounds bought.
For Pears:
\(Total_{Pears} = 2\frac{3}{4} * \$0.76\)
Convert fraction to decimal
\(Total_{Pears} = 2.75 * \$0.76\)
\(Total_{Pears} = \$2.09\)
For Grapes
\(Total_{Grapes} = 2\frac{3}{4} * \$1.40\)
Convert fraction to decimal
\(Total_{Grapes} = 2.75 * \$1.40\)
\(Total_{Grapes} = \$3.85\)
Next, we add both amounts together to get the total amount spent in dollars.
\(Total = Total_{Pears} + Total_{Grapes}\)
\(Total = \$2.09 + \$3.85\)
\(Total = \$5.94\)
Multiply by 100 to convert this amount to cents
\(Total = 5.94 * 100\ cents\)
\(Total = 594\ cents\)
And it can be represented as dollars and cents as:
5 dollars 94 cents
Related Questions
What is the LCD of 3/8 and 3/5
Answers
The lowest common denominator of 3/8 and 3/5 is 40.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3/8 and 3/5
LCD means the lowest common denominator.
So,
8 x 5 = 40
5 x 8 = 40
Thus,
The lowest common denominator of 3/8 and 3/5 is 40.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Parallelogram Properties - Diagonals
Jun 06, 4:06:26 PM
In parallelogram JKLM if LJ-46 find LN.
J
K
N
M
Answers
If LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK
To find the length of LN in parallelogram JKLM, we can utilize the properties of parallelograms, particularly the diagonals.
In a parallelogram, the diagonals bisect each other. This means that the diagonal LN divides the parallelogram into two congruent triangles, JLN and KLN.
Given that LJ is 46 units, we know that LK, the other half of the diagonal, is also 46 units.
Now, we have a triangle JLN, in which we know LJ (46 units) and LK (46 units). Since JL and LK are congruent sides of a triangle, we can conclude that JLKN is an isosceles trapezoid.
In an isosceles trapezoid, the diagonals are also congruent. Therefore, LN is equal in length to JK.
Hence, LN = JK.
Since we don't have any specific information about the length of JK provided in the question, we cannot determine the exact length of LN without additional information. However, we can say that LN is equal in length to JK based on the properties of parallelograms and isosceles trapezoids.
In summary, if LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK. However, without knowing the length of JK specifically, we cannot determine the exact length of LN.
for more such question on parallelogram visit
https://brainly.com/question/970600
#SPJ8
Kate ordered a set of beads. She received 40 beads in all. 12 of the beads were blue. What percentage of the beads were blue?
Answer Qucikly
Answers
Answer: 30%
Step-by-step explanation:
12/40 = 3/10 = 0.30
0.30*100 = 30%
Plot -5/2 and 0.3 on the number line
Answers
The point 0.3 lies on right side and -5/2 lies on left side on number line.
What is Number line?A number line is a visual depiction of numbers on a straight line in mathematics. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.
The visual depiction of numbers, such as fractions, integers, and whole numbers, spread out uniformly along a single horizontal line is known as a number line.
Given:
we have to plot -5/2 and 0.3 on the number line
Now, writing -5/2 in decimal to plot on number line
-5/2 = -2.5
So, 0.3 lies on the right side of the zero between 0 and 1.
-2.5 lies on the left side of the zero between -2 and -3.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ1
For a 20-year endowment insurance on (65) with face amount 1,000:
benefits are payable at the moment of death, or at the end of 20 years if the
insured survives.
− Mortality follows the Illustrative Life Table with = 0.06.
− Deaths are uniformly distributed between integral ages.
− Gross premiums are payable at the beginning of each year for 20 years, and are
determined by the equivalence principle.
− Commissions and taxes are 35% of the gross premium in the first year, 5% in the
other years, and are paid at the beginning of each year.
− Other expenses are 1 in all years, paid at the beginning of the year.
Calculate the gross premium for the endowment insurance
Answers
The gross premium for the endowment insurance is 73.
How to solveTo calculate the gross premium for the endowment insurance, we can use the equivalence principle, which states that the present value of the premiums must equal the present value of the benefits.
We can break down the problem into two parts: the present value of the death benefit and the present value of the endowment benefit.
First, let's calculate the present value of the death benefit. The death benefit is payable at the moment of death, and the probability of dying at age x is given by qx, where qx is the probability of surviving to age x.
Since deaths are uniformly distributed between integral ages, we can assume that deaths occur at the midpoint of the age interval. Therefore, the probability of dying at age x can be approximated by
.
Let's denote the present value of the death benefit as DB. Using the equivalence principle, we can write:
DB = A*(1+0.35) - E0 - C1 - 0.05A(1+0.05)
- 0.05A(1+0.05)
- ... - 0.05A(1+0.05)
where A is the annual premium, E0 is the expense paid at the beginning of the first year, and C1 is the commission and tax paid at the beginning of the first year.
The factor (1+0.35) accounts for the commission and tax on the first year premium.
Using the formula for the present value of a perpetuity, we can simplify the above equation to:
DB =
= 116.22
where q65/2 is the probability of dying at age 65. We can obtain q65/2 from the Illustrative Life Table, which gives
q65/2 = 0.112488.
Therefore, the gross premium for the endowment insurance is 73.
Read more about probability here:
https://brainly.com/question/30390163
#SPJ1
Find the next number 7.14.28.56, ?*
Answers
Answer: 112
Explanation:
The sequence we have is:
\(7,14,28,56\)We can see that the numbers are all multiples of 7:
\(\begin{gathered} 7\times1=7 \\ 7\times2=14 \\ 7\times4=28 \\ 7\times8=56 \end{gathered}\)In each step, the number we multiply 7 by, doubles.
So the next number must be 7 multiplied by double of 8 which is 16:
\(7\times16=112\)Another way to see this sequence is that each number is twice the previous number:
14 is twice 7
28 is twice 14
56 is twice 28
So the next number must be twice 56:
\(56\times2=112\)In any case, the next number is 112
Give the equation of the horizontal line through the point (3,5)
Answers
Answer:
y=5 would be the equation
Step-by-step explanation:
when the line is horizontal you would take the y coordinate of the coordinate given to you and put that into y=n with n being the value of the y coordinate
if the line were vertical you would take the x coordinate of the coordinate given to you and put that into x=n with n being the value of the y coordinate
help i tihnk i know the answers but unsure
Answers
Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.
What is the difference between quantitative and categorical variables?Quantitative variables are measured with numbers. Some examples include:
Weight measured in kilos
The distance measured in meters or kilometers
Time measured in seconds or hours
On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:
Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.
Moreover, variables can be classified as:
Nominal: Data can be categorized but not ranked.Ordinal: Data can be both categorized and ranked.Interval: Same properties as ordinal but can have values below zero.Ratio: Same properties as ordinal but does not have values below zero.Learn more about ordinal and nominal in: https://brainly.com/question/13168982
#SPJ1
Divide. −3.52−2.2 What is the quotient
Answers
The quotient of - 3.32 / - 2.2 is 8 ÷5.
What is the quotient?Given fraction:
-3.32 / -2.2
First step is to re-write the given fraction which is - 3.52 / - 2.2
3.52 / 2.2
Second step is to convert the decimal to fraction
352 ÷ 100 / 22 ÷10
Third step is to reduce the fraction
reducing 352/100
=(2^5 × 11)/(2^2 × 5^2)
= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]
= (2^3 × 11)/5²
= 88/25
Reducing 22/10
Divide the numerator and denominator by the greatest common divisor
= 22 ÷ 2 / 10 ÷ 2
= 11 /5
Now let determine or find the quotient
88 ÷ 25 × 11 ÷ 5
= 8 ÷ 5
Therefore we can conclude that 8 ÷ 5 is the quotient.
Learn more about quotient here: https://brainly.com/question/11418015
#SPJ1
Consider this Revenue Advertising Expense situation.
A drugstore that sells a certain brand of vitamin capsule estimates that
the profit P (in pesos) is given by P = −50x³ + 2400x² − 2000, 0 ≤ x ≤ 32 where x is the amount spent on advertising (in thousands of pesos). An
advertising agency provides four (4) different advertising packages with
costs listed below.
Which of these packages will yield the highest revenue
for the company?
A. Package A: Php 8,000.00
B. Package B: Php 16,000.00
C. Package C: Php 32,000.00
D. Package D: Php 48,000.00
Answers
Answer:
C. Package C: Php 32,000.00Step-by-step explanation:
Given function
P = −50x³ + 2400x² − 2000, 0 ≤ x ≤ 32x is the amount spent on advertising (in thousands of pesos).
Substitute x with 8, 16 and 32 and solve for P.
The greatest value of P is at:
x = 32 ( Php 32000.00)and the value is
P = 817200.00Another method is graphing.
See the attached picture for graphical solution.
Answer:
Package C: Php 32,000.00
Step-by-step explanation:
A piece of iron wire can be made into a circle with a radius of three centimeters.If I make a square around this wire,what is the area of the square
Answers
Answer:
the area should be 3 centimeters around the square
Step-by-step explanation:
HELPP PLEASE IM ACTUALLY STUCK???
Answers
Answer:
\(d=-8\)
Step-by-step explanation:
If the first term of a sequence is \(258\) and the second term is \(250\), then each successive term in the sequence is \(8\) less than the previous term. Therefore, the common difference is \(-8\) ( \(d=-8\) ).
The formula representing the arithmetic sequence is:
\(a_n=-8n+266\)
Therefore:
Term 1: \(a_1=-8(1)+266=-8+266=258\)
Term 2: \(a_2=-8(2)+266=-16+266=250\)
Term 3: \(a_3=-8(3)+266=-24+266=242\)
…
Term 9: \(a_9=-8(9)+266=-72+266=194\)
QUESTION 5 of 10: As a huge math fan, you think it would be fun to have a prime number of partners in your business (including yourself)
and at least 3 partners. If every partner gets one vote major decisions, can a vote ever end in a tie (2-way, 3-way, 4-way, etc.)?
a) Yes
b) No
Answers
Answer:
b
Step-by-step explanation:
1. 3х – 4 y = 24 : (0, ) ( ,0)
Answers
Please look at the pic and help!!
Answers
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?
Answers
Answer:
0.325
Step-by-step explanation:
Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport
Given
P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)= P(B|A) = 0.55We are asked to find P(wins the scholarship given play a varsity sport) = P(A|B)The formula for conditional probability is
\(P(A|B) = \dfrac{P(A \cap B)}{P(B)}\\\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)}\)where P(A ∩ B) is the probability of both A and B occurring togetherRewriting the above two equations we get
\(P(A \cap B) = P(A|B)P(B) = P(B|A)P(A)\)
→ \(P(A|B)P(B) = P(B|A)P(A)\)
Plugging in known probabilities,
\(P(A|B) (0.22) = P(0.55)(0.13)\)
\(\begin{aligned}P(A|B) & = \dfrac{0.55 \times 0.13}{ 0.22 }\\& = 0.325\end{aligned}\)
Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325
Which of the following expressions represents 12 p 5
Answers
The equivalent expression of the expression given as 12P5 is 12!/7!
How to determine the equivalent expression?The expression is given as:
12P5
The above expression is permutation expression.
And permutations are calculated using
nPr = n!/(n - r)!
So, we have:
12P5 = 12!/(12 - 5)!
Evaluate the difference
12P5 = 12!/7!
Hence, the equivalent expression of the expression given as 12P5 is 12!/7!
Read more about equivalent expression at
https://brainly.com/question/2972832
#SPJ1
Complete question
Which of the following expressions represents 12p5?
a.5/12
b. 12/5*7
c. 12/5*5
d. 12/7
Choose all of the following relationships that represent functions
I need help I have been stuck on this for years. Plz anything helps
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.
Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).
The equation of the directrix of the parabola y² + 6y + 2x = -7 is?
Answers
Thus, the equation of the directrix of the parabola is found as: x = 5/2.
Explain about the directrix of parabola:All points in either a plane that are equally spaced out from a given location and a given line make up a parabola. The line is known as the directrix, and the point is known as the parabola's focus. A parabola's axis of symmetry is perpendicular to the directrix, which does not intersect the parabola.
Given equation:
y² + 6y + 2x = -7
isolating the x and y values:
y² + 6y + 7 = -2x
Completing the square on left side, add 2 on both side:
y² + 6y + 9 = -2x + 2
(y + 3)² = -2(x - 2) ....eq 1
Comparing eq 1 with the standard equation:
(y - b)² = 2p(x - a)
2p = -2 --> p = -1
Vertex v = (a,b) = (2, -3)
Focus F = (a + p/2 , b) = (2 + (-1/2) , -3) = (3/2 , -3)
Thus, equation of the directrix:
x = a - p/2
x = 2 + 1/2 = 5/2
Thus, the equation of the directrix of the parabola is found as: x = 5/2.
Know more about the directrix of parabola
https://brainly.com/question/30777791
#SPJ1
PLSSS HELP ME!! I'll give you 20 points and the brainlest answer.
Answers
11.5(7) + 10.7 (8)= 166.1
166.1+ 85.6=251.7
What is the median?
-5 -1 -3 -2 -7 -9 -4 -3 -1
Answers
Answer:
-2
Step-by-step explanation:
The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average.
How is the sum expressed in sigma notation?
22 + 27 + 32 + 37 + 42 + 47
Enter your answer by filling in the boxes.
the sum from i is equal to 1 to blank of open paren close paren$$
Answers
The sum of the arithmetic sequence is S = 207 and the summation notation is S = ∑i=1 to 6 ( 5n + 17 )
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic sequence be represented as A
Now , the value of A is
A = 22 + 27 + 32 + 37 + 42 + 47
The number of terms n = 6
So , the value of i ranges from 1 to 6
Now , the summation is represented as ∑i=1 to 6 ( 5n + 17)
when n = 1
S₁ = 5 ( 1 ) + 17 = 22
when n = 2
S₂ = 22 + 5 ( 2 ) + 17
S₂ = 22 + 27
when n = 3
S₃ = 22 + 27 + 5 ( 3 ) + 17
S₃ = 22 + 27 + 32
Hence , the sum of the arithmetic sequence is S = 207
To learn more about arithmetic sequence click :
https://brainly.com/question/1522572
#SPJ1
Sketch the graph of each linear function.
Answers
#1
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
For more such questions on graph
https://brainly.com/question/19040584
#SPJ8
Find the value of each variable. Round to the nearest tenth, if necessary.
Answers
16.7, 6.7 and 22 degrees respectively are the measures of a, c and m<C
Solving trigonometry identityThe given diagram is a triangle with the following sides
Hypotenuse = AC = 18
m<A = 68 Degrees
We need to determine the measure of a, b and m<C
Using the trigonometry identity
sin 68 = a/18
a = 18sin68
a = 16.7
Similarly;
cos68 = c/18
c = 18cos68
c = 6.7
Since the sum of angles in a triangle is 180 degrees, hence:
m<C = 90 - m<A
m<C = 90 - 68
m<C = 22 degrees
Hence the measure of a, c and m<C is 16.7, 6.7 and 22 degrees respectively.
Learn more on triangles here: https://brainly.com/question/1058720
#SPJ1
The perimeter of a yard is 60 meters. The length is six less than twice the width. What are the dimensions of the yard?
Length = 18 meters,
Width = 12 meters
B
Length = 36 meters,
Width = 24 meters
C
Length = 24 meters,
Width = 36 meters
D
Length = 12 meters,
Width = 18 meters
Answers
Answer:
Length = 18 meters,
Width = 12 meters
Step-by-step explanation:=
Step one:
given data
perimeter= 60 meter
let the width be x
W=x
L=(2x-6)
Step two:
we know that perimeter of a rectangle is given as
P=2W+2L
60=2x+2(2x-6)
60=2x+4x-12
60=6x-12
collect like terms
6x= 60+12
6x=72
divide both sides by 6
x=72/6
x=12
Width is 12m
from L=(2x-6)
L=2*12-6
L=24-6
L=18m
PLEASE ANSWER QUICKLY
What is the correct definition for sec 0? A. sec 0 = cos-1 0 B. sec 0 = sin-1 0 C. sec 0 = 1/sin 0 D. sec 0 = 1/cos 0 E. sec 0 = 1/tan 0
Answers
sec(theta) = 1/cos(theta)
I believe that is your option D
Let the positive numbers a, b, c. Prove that \(\frac{a^{2013}+b^{2013}+c^{2013} }{a^{2012}+b^{2012}+c^{2012}} \geq \frac{a+b+c}{3\\}\)
Answers
Answer:
I don't need to prove it, I already believe you
Help pleaseeeeeeeeeeeeeeee
Answers
t = -8 + s
There you go
a player scored 89 points in a single professional basketball game. he made a total of 55 baskets, consisting of field goals (worth two points) and fouls shots (worth one point). find the number of field goals and the number of fouls shots that the player made
Answers
The player made 38 foul shots.
Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:
F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)
2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)
The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:
S = 55 - F
Next, we change S in the second equation to the following expression:
2F + (55 - F) = 89
When we simplify and find F, we obtain:
F = 17
Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:
17 + S = 55
S = 38
The player so scored 38 fouls.
To know more similar question visit:
https://brainly.com/question/11338475
#SPJ1