A grocer has two kinds of tea, one selling for 80 cents per pound and the other selling for 60 cents per pound. How many pounds of each kind must he use to make 50 pounds of tea that will sell for 74 cents per pound?

Answers

Answer 1
Imagine what x is tea groccer selling for 80 cents per pound
y is tea groccer selling for 60 cents per pound
{80x+60y=50*74=3700
{x+y=50  //*60

{80x+60y=3700
-
{60x+60y=3000

20x=700
x=35
y=50-35=15
Answer
There is need to use 35 pounds of 80 cents tea and 15 pounds of the 60 cents tea.
Answer 2

Answer, There is need to use 35 pounds of 80 cents tea and 15 pounds of the 60 cents tea.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

here, we have,

Imagine what x is tea grocer selling for 80 cents per pound

y is tea grocer selling for 60 cents per pound

{80x+60y

=50*74

=3700

{x+y=50  //*60

{80x+60y=3700

-{60x+60y=3000

20x=700

x=35

y=50-35=15

hence, Answer, There is need to use 35 pounds of 80 cents tea and 15 pounds of the 60 cents tea.

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Related Questions

choose the equation below that represent the line that passes through the point (7,-2) and has a slope of -3

Answers

y+2= -3(x-7)

y+2=-3x+21

y= -3x+19

_____ require a date signature amount and pay to the order of. (1 point)

Credit Cards
Debit Cards
Checks
Loan Documents

Answers

well, for a Credit Card all you need is to swipe it, and enter your pin number, and the transaction is electronically done, from the buyer to the seller.

for a Debit Card, is the same as above, they're just a different type of arrangement as the Credit Card.

for Loan Documents, you're not being paid or are paying anything, you're loaning an amount, it requires signatures and some dates, amounts and loaner info...but is not a payment per se.

so, that leaves the obvious one.  for Cheques you do need a signature, amount, date and person to whom it goes, and you have to write it in ink, or something non-erasable that easily.

The answer is; c.) checks!

Write 7.085 × 10-14 as an ordinary number

Answers

Final answer:

To convert [tex]7.085 * 10^-{14}[/tex] to an ordinary number, move the decimal point 14 places to the left, resulting in 0.00000000000007085.

Explanation:

To write [tex]7.085 * 10^-{14}[/tex] as an ordinary number, you need to move the decimal point 14 places to the left because the exponent is negative. This means the number is very small. The process is similar to changing other numbers from scientific to standard notation, for example, changing [tex]7.5 x 10^{-3}[/tex] to 0.0075 by moving the decimal point three places to the left.

For [tex]7.085 * 10^-{14}[/tex], you will end up with 0.00000000000007085. The number has thirteen zeros after the decimal point and before the 7085 because we move the decimal 14 places.

Jimmy has a number cube labeled 1through 6, and a penny. How many different ways can the cube and penny land with one roll of the cube and one flip of the penny . 1. 2. 3. 4. 5. 6

Answers

The answer would be 12.

Ex.
1H 2H 3H 4H 5H 6H
1T 2T 3T 4T 5T 6T

Answer:

12 ways

Step-by-step explanation:

We know that,

When the cube is rolled,

Possible ways = 6 ( i.e. 1, 2, 3, 4, 5 or 6 ),

While, when a penny is flipped,

Possible ways = 2  ( i.e. head or tail ),

Thus, when the cube and penny flipped one time,

Total possible ways = 6 × 2 = 12

( i.e, 1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T or 6T )

Find the percent of change from $240 to $320

Answers

320/240 = 1.33

1.33 = 133% (move the decimal point over two places to the right)

133% is your answer

hope this helps
Find the difference between $240 and $320.  It's $80.

Then the percentage change was

$80
-------- * 100% = +33.33%
$240

the following shows a sequence of perfect cube

64,p,216,q

find the value of p+q

Answers

The sequence is as follows:
4^3, 5^3, 6^3, 7^3.

p = 5^3, q = 7^3

p + q = 468
I'd suggest you begin by listing actual perfect cubes, beginning with 4^3:

64, 125, 216, 343, etc.  This is equivalent to 4^3, 5^3, 6^3, 7^3, etc.

Then p = 125, and q =343.  Thus, p + q = 125 + 343 = 468 (answer)

Melody jackson wishes to enclose a rectangular garden with fencing, using the side of her garage as one side of the rectangle. a neighbor gave her 30 feet of fencing, and melody wants the length of the garden along the garage to be 3 feet more than the width. what is the length of the garden? write your answer without units.

Answers

Just finished this for another student.

Length = 9

Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?

Answers

Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?
Final answer:

Saylor Henshaw invested $1600.

Explanation:

To find out how much money Saylor Henshaw invested, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, Saylor earned $120 in 9 months at an annual interest rate of 5%.

Let's assume the principal amount is P.

Using the formula:

120 = P × 0.05 × (9/12)

Simplifying the equation, we have:

P = 120 ÷ 0.05 × 12/9

P = $1600

So, Saylor Henshaw invested $1600.

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how many tiles in figure 0? Where is the Y intercept?

Answers

ahemmm   how many tiles or rectangles in the grid?   well, notice, each quadrant is a 9x11 rectangles, so there are 9*11 rectangles in each quadrant, there are 4 quadrants, thus 4 * 9 * 11 rectangles in the grid.

where's the y-intercept?  well, just look at the line, what are coordinates where the graph touches or intercepts the y-axis?   well, is at (0,3).

gregorios drive 200 miles per day for 10 days how many miles did he drive in all

Answers

Gregorios drove 200 miles a day for 10 days. 200 miles(10 days)= 2,000 miles in all.
Otherwise done as 200x where x=10. We fill it in and get 2,000 miles. 

A 30-mi. stretch of highway has markers every 0.2 mi. The first marker is at the 0.2 mi. mark and the last marker is at the end of the highway at the 30 mi. mark. If n is the number of markers, which equation is true?
A. 30 • 0.2 = n
B. 30 • 0.5 = n
C. 30 • n = 0.2
D. 30 ÷ 0.2 = n

Answers

Answer would be D

, you need to divide the total distance by the spacing to find total markers

Answer:

Your answer is D. 30 divided by 0.2 = n.

Step-by-step explanation:

Divide 30 by 0.2 and you get your correct answer.

Find a formula for the function whose graph is given below.

Answers

y=(x-2)^2+3
^^^^^^^^^^^^^^^^

The equation of parabola is y = ( x - 2 )² + 3

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k - p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

The vertex of the parabola is given as A ( 2 , 3 )

Now ,

The equation of parabola is given by

y = a ( x - h )² + k

where the vertex of the parabola is A ( h , k )

a = 1

So , substituting the values of vertex in the equation of parabola , we get

y = ( x - 2 )² + 3

Hence , the equation of parabola is y = ( x - 2 )² + 3

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the letters that spell WAIKIKI are each written on separate tiles laying face down on a table. A tile is selected at random, the letter is recorded, and then the letter is placed face down on the table. Then the process repeats. What is the theoretical probability of choosing a tile with the letter A?
A. 1/7
B. 1/4
C. 2/7
D. 3/7

Answers

Answer:

the Answer is. A 1/7

Step-by-step explanation:

i did the test

Latrell bought 4 bags of powdered sugar. He got a total of 5 1/2 cups of sugar. How many cups of sugar were in each bag?

Answers

so all 4 bags of sugar yielded 5 and 1/2 cups..... well.. how many in each one?  well, let's split the 5 and 1/2 evenly in 4 pieces.

[tex]\bf \stackrel{mixed}{5}\frac{1}{2}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}}\\\\ -------------------------------\\\\ \cfrac{\quad\frac{11}{2} \quad }{4}\implies \cfrac{\quad\frac{11}{2} \quad }{\frac{4}{1}}\implies \cfrac{11}{2}\cdot \cfrac{1}{4}\implies \cfrac{11}{8}\implies \stackrel{cups}{1\frac{3}{8} }[/tex]

Each bag contained 1.375 cups of sugar.

To find out how many cups of sugar were in each bag that Latrell bought, we need to divide the total amount of sugar by the number of bags. Latrell has a total of 5 1/2 cups of sugar, which is the same as 5.5 cups when converted to a decimal. He bought 4 bags of sugar. Therefore, the calculation we need to perform is:

5.5 cups / 4 bags = 1.375 cups per bag

So, each bag contained 1.375 cups of sugar.

There are 25 students performing in their holiday concert. Of students 11 are boys. What decimal represents the fraction of the students that are boys

Answers

Hello!

The fraction would be: 11/25

11/25 as a decimal is: 0.44

So, 0.44 of the 25 students are boys.

I really hope this helped you out! :)
That would be 11/25 = 0.44.

Bill Payne visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%. Provide Bill with the solution to his problem in years

Answers

Final answer:

It will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

Explanation:

To find out how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%, we can use the simple interest formula:



Interest = Principal × Rate × Time



Where:



Principal is the initial amount of money, which is $1,000 in this caseRate is the interest rate as a decimal, which is 12.5% or 0.125Time is the number of years it will take for the amount to accumulate, which we need to find out



Substituting the values into the formula:



Interest = $1,900 - $1,000

$1,900 - $1,000 = $900



$900 = $1,000 × 0.125 × Time



To find Time, we can rearrange the formula:



Time = $900 / ($1,000 × 0.125)

Time = 0.72 years



Therefore, it will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→8 x2 − 64 x2 − 8x

Answers

No L'Hopital's rule needed:

[tex]\displaystyle\lim_{x\to8}\frac{x^2-64}{x^2-8x}=\lim_{x\to8}\frac{(x+8)(x-8)}{x(x-8)}=\lim_{x\to8}\frac{x+8}x=\dfrac{16}8=2[/tex]

but we can still use it if only to verify the result:

[tex]\displaystyle\lim_{x\to8}\frac{x^2-64}{x^2-8x}\stackrel{\mathrm{LHR}}=\lim_{x\to8}\frac{2x}{2x-8}=\lim_{x\to8}\frac x{x-4}=\frac8{8-4}=2[/tex]
Final answer:

Take the limit as x approaches 8 to get the answer of 9.

Explanation:

To find the limit of (x² - 64) / (x² - 8x) as x approaches 8, we can simplify the expression by factoring and cancelling common factors.

First, we factor in the numerator and denominator:

x² - 64 = (x + 8)(x - 8) and x² - 8x = x(x - 8).

Now we can cancel the common factor of x - 8 to simplify the expression: (x + 8)/(x).

Now, we can take the limit as x approaches 8:

Lim(x→8) (x + 8)/(x) = 8 + 8/8

                             = 9.

So the limit of the given expression as x approaches 8 is 9.

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From Monday to Tuesday, the depth of a snowdrift changed by −2 3/8 inches. From Tuesday to Wednesday, the depth changed by half as much. What is the change in the depth of the snowdrift from Tuesday to Wednesday? Please answer I don't have much time, thanks.

Answers

divide 2 3/8 inches by 2

 2 /2 = 1

3/8 /2 = 3/16

change was - 1 3/16


what is the interqueartile range for the data set 13,14,17,18,23,27,28,31,34

Answers

Fortunately, the data is already arranged in ascending order, which is a requirement when we're looking for quadrants and the IQR.  There are 9 data points, where 9 is an odd number, so the middle data point, 23, is the median.

We must now find Q1 and Q3.  To the left of 23 we have 13, 14, 17, 18.  Take the median of these four points:  It is the average of 14 and 17, or 15.5.
Similarly, find the mediation of 27, 28, 31, 34; it is the average of 28 and 31, or 29.5.

The IQR is the difference between Q3 and Q1; here, that difference is 29.5 - 15.5 = 14.

The first truck in a convoy will carry 12 tons of dirt while each additional truck will carry 8 tons of dirt. Write a rule to model th situation. Then use the rule to find how many tons of dirt can be carried by 7 trucks. Let n represent the number of trucks and t represent the tons of dirt.

Answers

12 + 8n = t
 
68 tons of dirt will be hauled

Final answer:

To model the situation, use the rule t = 12 + 8(n - 1), where n is the number of trucks. Applying this rule, 7 trucks can carry a total of 60 tons of dirt.

Explanation:

The student should write a rule to model the situation where the first truck carries 12 tons of dirt and each subsequent truck carries 8 tons. The rule can be defined as t = 12 + 8(n - 1), where n represents the number of trucks and t represents the total tons of dirt carried. For 7 trucks, we can plug in the value of n into the equation:

t = 12 + 8(7 - 1)

t = 12 + 8(6)

t = 12 + 48

t = 60 tons

Therefore, 7 trucks can carry a total of 60 tons of dirt.

A survey asks 1200 workers, "has the economy forced you to reduce the amount of vacation you plan to take this year?" Thirty-five percent of those survey selected. The random variable represents the number of workers who are reducing the amount of vacation. Find the mean, variance and standard deviation of the binomial deviation of the binomial distribution.

Answers

If a variable is binomially distributed with n trials and a success probability of p, then the mean = np, variance = np(1–p) and standard deviation = square root of variance.

In this case, n = 1200, p = 0.35. So, mean = (1200)(0.35) = 420,
variance = (1200)(0.35)(1–0.35) = 273,
standard deviation = square root of variance = √273 = 16.52.

Mean = 420Variance = 273Standard Deviation = 17

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

A survey asks 1200 workers → n = 1200

Thirty-five percent of those survey selected → p = 35% = 0.35

To find the mean of a binomial distribution, we can use the following formula:

[tex]Mean = n \times p[/tex]

[tex]Mean = 1200 \times 0.35[/tex]

[tex]\boxed {Mean = 420}[/tex]

To find the variance of a binomial distribution, we can use the following formula:

[tex]Variance = n \times p \times (1 - p)[/tex]

[tex]Variance = 1200 \times 0.35 \times (1 - 0.35)[/tex]

[tex]Variance = 1200 \times 0.35 \times 0.65[/tex]

[tex]\boxed {Variance = 273}[/tex]

To find the standard deviation of a binomial distribution, we can use the following formula:

[tex]Standard ~ Deviation = \sqrt{Variance}[/tex]

[tex]Standard ~ Deviation = \sqrt{273}[/tex]

[tex]\boxed {Standard ~ Deviation \approx 17}[/tex]

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

Which expressions are equivalent to the one below? Check all that apply.

log 2 - log 6

Answers

Expressions equivalent to 'log 2 - log 6' are based on the property of logarithms that states 'log a - log b' is equivalent to 'log (a/b)'. Thus, the equivalent expression is 'log (1/3)'.

The expressions equivalent to log 2 - log 6 can be found using the property of logarithms that deals with the difference of logarithms. According to this property, log a - log b is equivalent to log (a/b). Therefore, one equivalent expression for log 2 - log 6 would be log (2/6), which can be simplified to log (1/3).

Find the radius of convergence of the power series \sum_{n=1}^\infty \frac{x^n}{\root 9 \of n}

Answers

Assuming "root 9 of n" is supposed to mean "the ninth root of n", that is [tex]\sqrt[9]n[/tex] we can use the ratio test, which says the series converges whenever

[tex]\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{\sqrt[9]{n+1}}}{\frac{x^n}{\sqrt[9]n}}\right|<1[/tex]

We have

[tex]\displaystyle|x|\lim_{n\to\infty}\frac{\sqrt[9]n}{\sqrt[9]{n+1}}=|x|\sqrt[9]{\lim_{n\to\infty}\frac n{n+1}}=|x|<1[/tex]

which means the radius of convergence for this power series is 1.

The number 72 is between what two perfect squares? Enter a numerical answer only

Answers

8^2 and 9^2. Because 8 squared equals 64 and 9 squared equals 81

Three-fourths of the sixth grade students at Ashlee’s school are twelve years old. One-half of the twelve year old students are boys. What fraction of the sixth grade students are twelve year old boys? Use numbers to explain your answer.

Answers

I think you would just divide 3/4 by 1/2, which equals 1 1/2.
I'm not sure if that's correct or not though.

On Monday, David had $50 in his wallet and withdrew $200 from his bank account. He bought 2 shirts for $12.00 each, and 2 pairs of shoes for $26.00 each. Write the final expression needed to determine how much money David had at the end of the shopping day. 50+200- [2(12) +2(26)] 50+200+[2(12) +2(26)] 50-200[2(12) +2(26)] 50-200/[2(12) +2(26)]

Answers

Answer:

50 + 200 - [2(12) + 2(26)] is the correct option

Which number could replace box the to make this number sentence true?


27 > + 8

Answers

7
seven
siete
siedem
sept
these are diffrent languagues for you

The Junior Soccer League takes 12-person vans to the tournament. The league has 146 players and 14 coaches. How many vans are needed and how many people are left over?

Answers

Final answer:

The Junior Soccer League will need a total of 14 vans to transport 160 people, with 4 people left over after filling the 13th van.

Explanation:

To calculate the number of 12-person vans needed for the Junior Soccer League event, we first need to determine the total number of people that require transportation. This includes both players and coaches.

We have 146 players and 14 coaches, giving us a total of 160 people. If each van holds 12 people, the next step is to divide the total number of people by the capacity of the van.

Divide the total number of people by the capacity of the van (12).Calculate the number of full vans required.Determine if there are any people left over.

160 ÷ 12 = 13 vans with 4 people left over because 12 vans can only carry 144 people (12 × 12), and 16 people are remaining, which requires another van to accommodate them.

So, the league will need a total of 14 vans for transportation, and there will be 4 people left over after filling the 13th van.

Use the distributive property to write the products as sums:7(4n-5m-2)

Answers

Final answer:

The distributive property is used to multiply 7 by each term inside the parentheses (4n, -5m, -2) resulting in the expression 28n - 35m - 14.

Explanation:

To apply the distributive property to the expression 7(4n-5m-2), you multiply each term inside the parentheses by 7. The distributive property allows us to multiply a single term outside a parenthesis with each term inside the parenthesis, effectively distributing the multiplication.

First term: 7 × 4n = 28nSecond term: 7 × -5m = -35mThird term: 7 × -2 = -14

Therefore, the product written as a sum, using the distributive property, is 28n - 35m - 14.

10 mi.= _________ft.

Answers

there is 5280 feet in 1 mile

5280 x 10 = 52800

52800 ft is your answer

hope this helps
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A student in the contemporary United States is researching the ancient Roman city of Pompeii, which was destroyed by a volcanic eruption in 79 CE. Which of the following is an example of a secondary source the student might consult during his research A.An account written by a Roman soldier who saw the volcano erupt B.A video documentary about the destruction the volcano caused in the city C.An entry from a journal written by a citizen of Pompeii before the eruption D.A painting of a market in Pompeii that dates from the early first century CE Write narratives to develop real or imagined experiences or events using effective technique, well-chosen details, and well-structured event sequences. Which of these transitions would be used to build suspsense? By the way Over there In comparison Little by little A store offers customers two ways to pay for a new TV. Option 11: Pay $1,500$1,500 today. Option 22: Pay nothing today, and take out a simple interest loan to pay a total of $1,650$1,650 one year from now. What is the simple interest rate on the loan in option 22? A pickup trucks gas tank can hold 19.2 gallons and i can go 460.8 miles on a single tank of gas. How many miles per gallon does it get? Which of the "typical hardball tactics" do you think is the most effective and why? Interested in losing weight, frederica seeks the advice of her doctor. dr. rothschild recommends a medication that can help her by acting as a serotonin agonist. what medication is frederica's doctor recommending? Match each excerpt to its poetic structure.Blank Verse & Ballad Stanza are the poetic structures to choose from. Here are the excerpts:1. I let my neighbor know beyond the hill; And on a day we meet to walk the line And set the wall between us once again. We keep the wall between us as we go.(Robert Frost, "Mending Wall")2. The king sits in Dumferling toune,Drinking the blude-reid wine:O quhar will I get guid sailr,To sail this schip of mine.(Anonymous, "Sir Patrick Spens")3. The Bridegroom's doors are opened wide,And I am next of kin;The guests are met, the feast is set:May'st hear the merry din. ( Samuel Taylor Coleridge, "The Rimeof the Ancient Mariner")4.It little profits that an idle king,By this still hearth, among thesebarren crags,Match'd with an aged wife, I mete and doleUnequal laws unto a savage race,That hoard, and sleep, and feed, andknow not me.( Alfred Lord Tennyson, "Ulysses")PLEASE HELP How does the system of checks and balances lead to conflict between the president and congress? MR.Trek made some trail mix for his backpacking team. He used 2 1/2 cups of granola, 1 3/4 cups of peanuts, 1 1/3 cups of raisins, and 1 cup of chocolate chips. How much trail mix did he make? describe and correct the error in identifying the like terms in the expression3x - 5 + 2x*2 + 9x = 3x +2x*2 + 9x - 5like terms:3x,2x*2, and 9x Which statements describe examples of facilitated diffusion? A researcher gives participants a list of words referring to concrete objects (e.g., car, apple, box). She tells the first group of participants to form a vivid mental image of each object. She tells the second group to think of a story using all the words from the list. Both groups then completed a memory test. What concept is the researcher most likely testing with the first group of participants?a. Semantic encodingb. Visual encodingc. Acoustic encodingd. Simultaneous encoding What are some of the mottos that the animals adopt in animal farm? The base of the building is an equilateral triangle 180 meters on each side. The height of the prism is 25m. Find the height, of the triangular base. Sulfur has fewer valence electrons than chlorine. True or False What are four characteristics of water that are emergent properties resulting from hydrogen bonding? From My Bondage and My Freedom by Frederick Douglass Once awakened by the silver trump of knowledge, my spirit was roused to eternal wakefulness. Liberty! the inestimable birthright of every man, had, for me, converted every object into an asserter of this great right. What adjective best describes Douglasss tone toward freedom? dreamy hopeful hesitant impassioned Carbohydrates and proteins are built up from their basic building blocks by the ________.a. removal of a nitrogen atom between each two unitsb. addition of a water molecule between each two unitsc. removal of a water molecule between each two unitsd. addition of a carbon atom between each two units Yo ___________ a una entrevista de trabajo el martes. iremos ir irs irn Resonance in air columns is used in which of these musical Instruments? Steam Workshop Downloader