Two number have a product of 7. One of the number i 4 2/3, what i the other number?

Answers

Answer 1

Answer:

  1 1/2

Step-by-step explanation:

You want the other number when one of the two numbers that have a product of 7 is 4 2/3.

Solution

Let x represent the unknown factor. Then we have ...

  (4 2/3)x = 7

  (14/3)x = 7 . . . . . . write as improper fraction

  x = (3/14)(7) . . . . . multiply by the inverse of the coefficient of x

  x = 3/2 = 1 1/2

The other number is 1 1/2.


Related Questions

[tex]\sqrt{3^2+27}+2^3+\sqrt[3]{64}[/tex]

Answers

[tex]\boldsymbol{\sf{\sqrt{3^2+27}+2^3+\sqrt[3]{64} }}[/tex]

Calculate 3 to the power of 2.

[tex]\boldsymbol{\sf{\sqrt{9+27}+2^3+\sqrt[3]{64} }}[/tex]

Add 9 and 27.

[tex]\boldsymbol{\sf{\sqrt{36}+2^3+\sqrt[3]{64} }}[/tex]

Find the square root of 36.

[tex]\boldsymbol{\sf{6+2^3+\sqrt[3]{64} }}[/tex]

Calculate 2 to the power of 3.

[tex]\boldsymbol{\sf{6+8+\sqrt[3]{64} }}[/tex]

Add 6 and 8.

[tex]\boldsymbol{\sf{14+\sqrt[3]{64} }}[/tex]

Calculate [tex]\sqrt[3]{64}[/tex]

[tex]\boldsymbol{\sf{14+4=18}}[/tex]

Answer:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ 18}[/tex]

Step by step explanation:

[tex] \: \: \: \: \: \: \: \bold{\sqrt{9 + 27} + 2 {}^{3} + \sqrt[3]{64} }[/tex]

To solve this problem, the first thing we have to do is simplify 3² to 9, since it multiplies 2 times 3 to give us 9.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \bold{ \sqrt{36} + {2}^{3} + \sqrt[3]{64} }[/tex]

Then we must add 9 + 27 to give us a result of 36.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{6 + {2}^{3} + \sqrt[3]{64} }[/tex]

Now we must multiply again but this time we are going to multiply 2 times 6 since 6 × 6 is equal to 36.

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{6 + 8 \: + \sqrt[3]{64} }[/tex]

Now we must again multiply 3 times 2 to give us 8.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{6 + 8 + 4}[/tex]

Then we must add 6 + 8 + 4.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{14 + 4}[/tex]

Before finishing we know that we got 14, now we must add 14 + 4 to give us a result of 18.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{18}[/tex]

Rpt: The result is 18.

What is the equation of the line that passes through the point (-2,14) and is perpendicular to the line with the following equation? y= -2/5 x-1

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{5}}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{5}{-2}\implies \cfrac{5}{2}}}[/tex]

so we're really looking for the equation of a line whose slope is 5/2 and it passes through (-2 , 14)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{14})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{14}=\stackrel{m}{ \cfrac{5}{2}}(x-\stackrel{x_1}{(-2)}) \implies y -14= \cfrac{5}{2} (x +2) \\\\\\ y-14=\cfrac{5}{2}x+5\implies {\Large \begin{array}{llll} y=\cfrac{5}{2}x+19 \end{array}}[/tex]

Is the absolute value of -3 less than, greater than, or equal to -7

Answers

The statements are true "3 is less than 7, and the absolute value of 3 is less than the absolute value of 7".

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed.

The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

The absolute value of a number is how distant it is from zero. The standard procedure to represent absolute value is to use a number line to estimate the exact distance the number is from zero.

As per the option, 3 is less than 7 is true.

The absolute value of 3 is less than the absolute value of 7  is true.

Thus, the statements are true "3 is less than 7, and the absolute value of 3 is less than the absolute value of 7".

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The question seems to be incomplete the correct question would be

Which statements about 3 and 7 are true? Choose ALL the correct answers.

3 is less than 7.

3 is greater than 7.

The absolute value of 3 is less than the absolute value of 7.

The absolute value of 3 is equal to the absolute value of 7.

The absolute value of 3 is greater than the absolute value of 7.

at track practice, steve works out doing lunges on a path that is 110 yards long. if steve can cover 22 in with each lunge, how many lunges will it take to cover the path?

Answers

Answer:

It will take 5 lunges to cover the path.

Step-by-step explanation:

Path length = 110

1 lunge = 22 yards

110/22 = 5

5 lunges = 22x5 = 110 yards

pls help me how do I round 9.4725 to the nearest cent with no dollar sign

Answers

Rounding off 9.4725 to the nearest cent will give 9.5

Rounding Off Numbers

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths. When rounding money to the nearest cent, look at the number to the right of the full cents. In this case, that number is 9. If the number is five or more, increase the cents by 1. If the number is four or less, keep the cents the same. Because 9 is more than 5, $3.299 rounds to $3.30.

Applying same principle or concept here, we can round off 9.4725 to the nearest cent to give 9.5.

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PLEASE HELP, I WILL GIVE BRAINLY!!!
Compare the scenarios to determine which represents a greater speed. Explain your choice including a written description of each scenario. Be sure to include the rates in your explanation.

Answers

For every 50 y, there is 1 hour

What is the slope of the line passing through the points (-1, 0) and (0, - 7)?

Answers

Answer:

1/-7

Explanation:

rise/run so up 1 down 7

Mrs. Sharma is making treats for a tea party later this week, and she has up to 6 eggs to use for this purpose. A batch of scones requires 3 eggs and a batch of miniature tarts requires 2 eggs.

Answers

The eggs that will remain after Sharma is making treats for a tea party is 1.

How to calculate the value?

From the information, Mrs. Sharma is making treats for a tea party later this week, and she has up to 6 eggs to use for this purpose a batch of scones requires 3 eggs and a batch of miniature tarts requires 2 eggs.

In this case, the eggs remaining will be:

= Total eggs - Eggs used

= 6 - (3 + 2)

= 6 - 5

= 1

There'll be 1 egg remaining.

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Complete question

Mrs. Sharma is making treats for a tea party later this week, and she has up to 6 eggs to use for this purpose. A batch of scones requires 3 eggs and a batch of miniature tarts requires 2 eggs. How many eggs will be left?

The closed right circular cylindrical can of the smallest surface area whose volume is
250 π cm3 has a radius of _____ cm and a height of _____ cm

Answers

The closed right circular cylindrical can of the smallest surface area whose volume is 250π cm³ has a radius of 5cm and a height of 10 cm.

Let r and h be the radius and height of the cylinder respectively.

Volume, V= πr²h

Given,

Volume = 250 π

Now, we can solve by:

⇒ 250 π = πr²h

⇒ r²h=250

⇒ h= 250/r²

We know that,

Surface area, A = 2πr²+2πrh

⇒ A = 2πr²+ 2πr(250/r²)

⇒ A = 2πr²+ (500π/r)

Differentiating the above equation,

dA / dr = 4πr+500π(-1/r²)

For A to be maximum or minimum, dA/dr = 0

⇒ 4πr-500(π/r²) = 0

⇒ 4πr - 500π / r² = 0

⇒ 4πr³ -500π/ r² = 0

⇒ π (4r³ -500) = 0

⇒ 4r³ - 500 = 0

⇒ r = ∛125

⇒ r = 5

Putting value of r = 5, we get,

h = 250/(5)² = 10

By second derivative test,

d²A/dr² = 4π-500π(-2/r³)

At r= 5,

d²A/dr² = 4π+1000(π/r³) > 0 .

Therefore, It is a local minimum.

Ans: Radius = 5 and Height = 10

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Simplify. Express your answer using positive exponents.
(7tuv7)(4t3u4v2)

Answers

Answer:

[tex]28t^4u^5v^9[/tex]

Step-by-step explanation:

I will answer this a few different ways depending on whether there are supposed to be exponents in the question.

As written

As written, the product is:

[tex](7tuv7)(4t3u4v2)[/tex]

All of the coefficients can be multiplied together. This is what that looks like:

[tex]4704tuvtuv[/tex]

Now, each variable multiplied by itself gets the exponent of 2.

[tex]4707t^2u^2v^2[/tex]

Assuming exponents and coefficients

Assuming exponents, the product is:

[tex](7tuv^7)(4t^3u^4v^2)[/tex]

Again, the coefficients can be multiplied, and the like variables written next to each other:

[tex]28tt^3uu^4v^7v^2[/tex]

When multiplying like terms with exponents, add the exponents. Variables without an exponent have an exponent of 1.

[tex]28t^4u^5v^9[/tex]

please help i need this quick asap

Answers

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

The value of [tex]x_{11}[/tex] is 8

The value of [tex]x_{21}[/tex] is -1

What is a matrix?

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

[tex]\left[\begin{array}{ccc}3&-8\\1&1\\\end{array}\right] X=\left[\begin{array}{ccc}32\\7\\\end{array}\right][/tex]    _____(1)

Now,

[tex]X = \left[\begin{array}{ccc}x_{11}\\x_{21}\\\end{array}\right][/tex]  ________(2)

Multiplication of matrix.

From (1) and (2) we get,

[tex]3x_{11} - 8x_{21}[/tex] = 32 ____(a)

[tex]x_{11} + x_{21}[/tex] = 7 ______(b)

From (b) we get,

[tex]x_{11}[/tex] = 7 - [tex]x_{21}[/tex] ______(3)

Substitute (3) in (a)

Now,

3 (7 - [tex]x_{21}[/tex]) - 8[tex]x_{21}[/tex] = 32

21 - 3[tex]x_{21}[/tex] - 8[tex]x{21}[/tex] = 32

-11[tex]x_{21}[/tex] = 32 - 21

[tex]x_{21}[/tex] = -1

Now,

[tex]x_{11}[/tex] = 7 - (-1) = 7 + 1 = 8

Thus,

The value of [tex]x_{11}[/tex] is 8

The value of [tex]x_{21}[/tex] is -1

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At a candy store, Eva bought 2 pounds of jelly beans and 2 pounds of gummy worms for $26.
Meanwhile, Mimi bought 3 pounds of jelly beans and 2 pounds of gummy worms for $31. How
much does the candy cost per pound?
start with
m: cost per pound for Jelly Beans
n: cost per pound for Gummy Worms

Answers

Answer:

cost per pound for Jelly Beans is 5$

cost per pound for Gummy Worms is 8$

What does b represent in the equation of a line in the form y = mx + b?The y-intercept
The value of x when y = 0
The slope
The x-intercept

Answers

Answer:

The y intercept

Step-by-step explanation:

A store sold towels that cost $5 each at 15% less than the cost. The overhead was 20% of the cost of each towel. What was the selling price of each towel? How much more than $150 did the owner lose if 95 towels were sold?

Answers

If the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

Suppose the selling price of a towel is x, according to the given condition,

5 = x - 15% of x

5=x-0.15x

5=0.85 x

x=5/0.85

x=5.88

Thus, if the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

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The cost of 4kg of kale and 1.5 kg of beetroot is 12.20
The cost of 5kg of kale and 2kg of beetroots is 15.40 work out the cost of 1kg of beetroot and 1kg of kale

Answers

The cost of 1 kg of beetroot and 1 kg of kale are 1.39 units and 2.53 units respectively

How to find the cost of beetroot and Kale?

The cost of 4kg of kale and 1.5 kg of beetroot is 12.20. The cost of 5kg of kale and 2kg of beetroots is 15.40.

The cost of 1kg of beetroot and 1kg of kale can be found as follows:

Therefore,

let

x = cost of 1kg of beetroot

y = cost of 1 kg of Kale

Therefore, using equation,

1.5x + 4y = 12.20

2x + 5y = 15.40

x = 12.20 / 1.5 - 4y / 1.5

x = 8.13 - 2.67y

Hence,

5y = 15.40 - 2(8.13 - 2.67y)

5y = 15.40 - 16.26 + 5.34y

5y = -0.86 + 5.34y

5y - 5.34y = -0.86

- 0.34y = - 0.86

y = - 0.86 / - 0.34

y = 2.52941176471

y = 2.53

1.5x = 12.20 - 4(2.53)

1.5x = 12.20 - 10.12

1.5x = 2.08

x = 2.08 / 1.5

x = 1.38666666667

x = 1.39

Therefore,

cost of 1kg of beetroot ≈ 1.39

cost of 1 kg of Kale = 2.53

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Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.

f(x) = 2x2 + 4
g of x equals the square root of the quantity 3 x cubed

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of f(g(x)) is 6x³ + 4.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3x + 4 = 5 is an equation.

2x + 4x = 4 is an equation.

We have,

The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes.

The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works.

f(x) = 2x² + 4

g(x) = √(3x³)

Now,

f(g(x)):

= f(√(3x³))

= 2{√(3x³)}² + 4

= 2(3x³) + 4

= 6x³ + 4

Thus,

The value of f(g(x)) is 6x³ + 4.

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is 25 3/8 bigger than 25 2/5
best answer = brainliest

Answers

Answer:

2/5 is greater than 3/8, so 25 2/5 is greater

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 5 and 8 is 40

Next, find the equivalent fraction of both fractional numbers with denominator 40

For the 1st fraction, since 5 × 8 = 40,

2/5

=

2 × 8

5 × 8

=

16/40

Likewise, for the 2nd fraction, since 8 × 5 = 40,

3/8

=

3 × 5

8 × 5

=

15/40

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

16/40 > 15/ 40 or 2/5 > 3/8

The Bartolotti family took out a loan to have a garage built next to their house. The 10-year, 10.4% loan was for $56,188. The monthly payment was $475, but the promissory note stated that there was a balloon payment at the end. what is the sum of all but the last monthly payment?

Answers

If the promissory note stated that there was a balloon payment at the end. The sum of all but the last monthly payment is: $56,525, $57,000.

How to find the monthly payment?

Total payment = $475 × [(10 years × 12 months) -1]

Total payment = $475 × 119 payment

Total payment = $56,525

Total payment = $475 × [(10 years × 12 months) ]

Total payment = $475 × 120 payment

Total payment = $57,000

Therefore the monthly payment is; $56,525, $57,000.

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an oil paint set cost $45 more than an easel . an easel cost $129 what is the total cost of the oil paint set and the easel

Answers

129+45=174
174+129=303

Total cost is $303
Easel: 129
Oil: 45

129 + 45 = 174

pls pay attention this is important

What is the product?
2y 4y-12
y-3 2y+6
O
تان
10
4y
y-3
4y
y+3

Answers

The product of the given polynomials is 4y/(y + 3).

We are given two polynomials. A polynomial is a mathematical statement that is composed of the sum of powers in one or more variables multiplied by coefficients. The polynomials are in rational form. A rational number is created by dividing an integer by an integer. The first polynomial is 2y/(y - 3). The second polynomial is (4y - 12)/(2y + 6). We need to find the product of these two polynomials. Let the product be represented by the variable "P".

P = [2y/(y - 3)]×[(4y - 12)/(2y + 6)]

P = [2y/(y - 3)]×[4(y - 3)/2(y + 3)]

P = [2y]×[2/(y + 3)]

P = 4y/(y + 3)

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How many Pieces of ribbon .6m long can be cut from 13.2m ribbon?

Answers

I think is is 22

because it is asking how many times can .6m go into 13.2m of ribbon? If you start with 20x.6 you will get 12. Then you add on another one and get 12.6. Finally add one more to get 13.2m ribbon which would make the answer 22. You can also divide 13.2m divided by .6m and get 22.

Hopefully this helped you guys. If you guys want more answers please give me those 5 Stars and Give me a thanks to show you appreciation.

Over all the Answer is 22

Have a great day (:

ANSWER ASAP A basketball team played six games. In those​ games, the team won by 8 ​points, lost by 8​, won by 7​, won by 10​, lost by 2​, and won by 9. What was the mean difference in game scores over the six​ games?

Answers

The average difference or mean in game scores across six games is 5.67

Mean

The mean is the average of a data set. The mode is the most common number in a data set. The median is the middle of the set of numbers. The mean is the average or the most common value in a collection of numbers. the mean is one of the measures of b, apart from the mode and median. Mean is nothing but the average of the given set of a data.

To solve this problem, we have to write the wins and loss separate and then find the mean.

Wins = 8 points, 7 points, 20 points, 9 points

Loss = 8 points, 2 points

The sum of win points = 8 + 7 + 20 + 9 = 44 points

The sum of lost points = 8 + 2 = 10 points

The mean difference = (win - loss)/ total number of games

The mean difference = ( 44 - 10) / 6

The mean difference = 34 / 6 =5.67

The mean difference in the game scores over six games is 5.67 points

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The amount of money raised at a fundraiser is directly proportional to the number of attendees. The amount of money raised for 12 attendees is $300. How much money is raised for 75 attendees?.

Answers

Answer:

900

Step-by-step explanation:

300/12=25

75*12=900

Solve the equation for y.
2
у - 2/3x= -6

Answers

The answer will be y= 3

Answer:

[tex]y=1\frac{1}{3}x-3[/tex]

Step-by-step explanation:

Isolate y to find the value of y

2y-2/3x=-6

 +2/3x. +2/3x

2y=2/3x-6

/2.  /2.  /2

y=4/3x-3

Hopes this helps please mark brainliest

Giving 50 points!!

Question: Determine whether the dilation from figure K to K’ is an enlargement or a reduction

Answers

Answer:

enlargement

Step-by-step explanation:

observe from the figure [tex]OK=x<x+5=7=OK'[/tex]

since [tex]OK<OK'[/tex], then the dilation is an enlargement.

Answer:

Step-by-step explanation:

defsfvbrfdv

7x+y=5 equations answer

Answers

Answer:

[tex]x=\frac{5}{7} -\frac{y}{7}[/tex]

Step-by-step explanation:

You move all terms that dont contain x
to the right side and solve.

Hope this helps! :))

A car travels 37 km in 25 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

Answers

Answer:

88.8 km/h

Step-by-step explanation:

A shopkeeper compares the income from sales of a laptop in July and August. August 1/3 Price Number sold 2/5 more than July less than July By what fraction does the income from these sales decrease in August? Answer: Decreases by ....

Answers

The fraction that illustrates the decrease in sales is 15.

What is fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, August 1/3 and this was 2/5 more than what was sold earlier. Therefore the decrease will be:

= 2/5 - 1/3

= 6/15 - 5/15

= 1/5

The fraction is 1/15.

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your calculations indicate that you will need 20.8 cubic yards of concrete for a slab floor. which of the following quantities would be the best amount to order accounting for waste?

Answers

Answer:

Step-by-step explanation:Your calculations indicate that you will need 20.8 cubic yards of concrete for a slab floor. Which of the following quantities would be the best amount to order accounting for waste

To get in condition for running on the track team, Paul began by running 2 miles.
mile farther than he ran the day before. How far will Paul run on Day 7?
Every day after that, he ran
4
OA. 6 miles
OB. 6 miles
OC. 7 miles
OD. 8 miles

Answers

I think 8 miles ijjjjjjjjjjj
Other Questions
Subtract. (4x 1) (6x 5) 5. If only about one-third of registered voters state that they areRepublicans when they register to vote, how can a Republicancandidate win an election by getting, for example, 51% of the votes? Given the following data: r = $1.00/ f = $1.00/ i u.s. = % If the interest parity condition is expected to hold, interest rates in Japan (Japan) should equal _______ Which of the following situations in the automotive industry is the most analogous to the one described in the fourth paragraph regarding Cooper's early writings?An automobile manufacturer introduces a new model that quickly becomes the best-selling vehicle in its class.An automobile manufacturer designs a vehicle that becomes popular with a group of people different from the group the manufacturer had anticipated.An automobile manufacturer has unexpected mechanical issues with an innovative new vehicle after its release.An automobile manufacturer offers an extended warranty on its vehicles in an attempt to shed its reputation for poor craftsmanship. a client informs the nurse that he is having a difficult time coping with seasonal allergies and has taken some over-the-counter medications to assist with control of symptoms. what results would indicate to the nurse that the client does have allergies? How many positive three-digit numbers are divisible by 4 but do not contain the digit 9? DNA Sequence CCT CTT TAC ACA CGG AGG GTA CGC TAT TCT ATG ATT ACA CGG TTG CGA TCC ATA ATCCreate an mRNA sequence from the above DNA sequence A solar-powered car has a kinetic energy of 110250 J. Its mass is 180 kg. Work out how fast the car is travelling Candidates for the management development program at genco enterprises must first complete a personality assessment to determine the distinctive characteristics that account for the effectiveness of leadership role. Based on this, it would appear that genco believes in the ___ approach to leadership. Please solve the need for help Complete combustion of 1.0 metric ton ofcoal (assuming purecarbon) to gaseous carbon dioxide release 3.3x10 j of heat. Convert this energy to (a) kilojoules; (b) kilocalories the free black population of the united states increase from 1820 to 1860 because of all the following reasons except 3/5 of 45 step by step What are main themes to The Last Dog by Katherine Patterson What is the answer to this question what was the new deal during the great depression? A ______ is synthesized from cholesterol and can diffuse across the plasma membrane. The sum of $5400 was borrowed from a bankat the rate of 10% per annum for 3 years. How much would the simple interest payable would be?(A) $1800(B) $540(C) $1620(D) $486 Match the examples with the appropriate characteristic of a successful entrepreneur. There are more terms than examples. Each term will only be used once. 3. Gwen and Julia are saving money to go to an amusement park. After looking at all the costs, they determinethey need at least $250 to go on the trip. Gwen walks dogs and Julia waters flowers to raise the money.Gwen charges $3.50 each time she walks a dog. Julia charges $1.25 each time she waters the flowers. Thenumber of times Julia plans to water the flowers is no more than six times the number of dogs Gwen plans towalk. Gwen plans to walk no less than 12 dogs.Write a set of constraints to model the problem, with d representing the number of dogs walked and frepresenting the number of times flowers were watered. You should write a total of 3 constraints.