If Y varies directly as x and y= 49 when x= 40, find y if x =34

Answers

Answer 1

Answer:

y = 41.65

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 49 when x = 40

49 = 40k ( divide both sides by 40 )

[tex]\frac{49}{40}[/tex] = k = 1.225

y = 1.225x ← equation of variation

When x = 34 , then

y = 1.225 × 34 = 41.65


Related Questions

hello comment anything

Answers

I like anime and sleeping✌

Answer:

i like food, money, and games

Step-by-step explanation:

E

Josh was issued a traffic ticket for speeding. The court cost
was $40 and he had to pay $10 for every mile per hour
over the speed limit. Determine how fast Josh was driving
if the speed limit was 65 mph and his fine was $110.

Answers

Answer:

72 mph

Step-by-step explanation:

i did this on achievemath3000 and 72 was the answer

Find the volume (in cubic yards) of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards.

Answers

Answer:

19.228

Step-by-step explanation:

multiply 2.2*2.3*3.8 to get 19 yd^3

Can someone help me? I don't understand this

Answers

1 is 3/20 2 is 7/4 3 is 1 number 4 is 15/14

I can write an equation​

Answers

Answer: y = -x + 2

Step-by-step explanation:

If you are familliar with the point-slope form this is very helpful

Point-slope:

[tex]y-y_1=m(x-x_1)[/tex]

Plug in our values of [tex]m = -1, y_1=-1,x_1=3[/tex] to get:

[tex]y-(-1) = -1(x-3)[/tex]

Simplify

[tex]y+1=-x+3[/tex]

[tex]y=-x+2[/tex]

what is the surface area of a polyhedron with measurements 4cm x 4cm x 7cm?

Answers

Check the picture below.

so let's add all sides and that'd be the area of the rectangular prism.

[tex]\stackrel{\textit{top and bottom}}{2(4\cdot 7)}+\stackrel{\textit{left and right}}{2(4\cdot 4)}+\stackrel{\textit{front and back}}{2(4\cdot 7)}\implies 56+32+56\implies 144[/tex]

harold bought 3 pounds of red apples

Answers

Answer:

what's your question?  

yesssssssssssssssssssssssssssssssssssssss

According to the distributive property, 6(a + b) = ma ​

Answers

Answer:

6a+6b=ma

?? Not 100% sure, so have someone else answer please too

Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.

Which of the following best describes this situation?
A.
Mark is under his budget by less than 20 dollars.

B.
Mark is under his budget by more than 20 dollars.

C.
Mark is over his budget by less than 20 dollars.

D.
Mark is over his budget by more than 20 dollars.

Answers

A. He used 20$ under his budget because he wanted to spend less then 20$ for dinner

How many different five-letter
arrangements can be made from the
letters in the word "PLUTO"?
5
25
60
120

Answers

Answer:

my guess would probably be 5 but it could also be 25. (id like to say the answer but i cant cause this should be something for you to decide the answer not me.

Step-by-step explanation:

I hope this helps you!

[tex]\frac{\sqrt{2x} }{\sqrt{} x-1}[/tex]
For which values of x does each expression make sense?

Answers

Answer:

The expression is unclear so:

If the denominator is [tex]\sqrt{x}-1[/tex] then your set of existence is given by

[tex]\left \{ {{x\ge0} \atop {x\ne1}} \right.[/tex]

since you want the quantity inside both square roots to be positive (and it happens for both to be simply [tex]x\ge0[/tex] and you don't want a zero at the denominator so you have to rule out 1.

If the square root includes the whole denominator [tex]\sqrt{x-1}[/tex] the condition becomes [tex]\left \{ {{x\ge0} \atop {x>1}} \right.[/tex]

where you don't include the extreme in the second condition since, again, you don't want to divide by 0. The answer in this case is simply [tex]x>1[/tex] since values between 0 and 1 will give a negative root which is not a real number.

In ΔMNO, \text{m}\angle M = (6x+1)^{\circ}m∠M=(6x+1) ∘ , \text{m}\angle N = (3x-10)^{\circ}m∠N=(3x−10) ∘ , and \text{m}\angle O = (x+19)^{\circ}m∠O=(x+19) ∘ . Find \text{m}\angle N.m∠N.

Answers

Applying the triangle sum theorem, m∠N = 41°

What is the Triangle Sum Theorem?

Triangle sum theorem states that the sum of the three interior angles of any triangle equals 180°.

Given the following interior angles of ΔMNO:

m∠M = (6x+1)°

m∠N = (3x-10)°

m∠O = (x+19)°

Find the value of x:

m∠M + m∠N + m∠O = 180°

Substitute

6x+1 + 3x-10 + x+19 = 180

Add like terms

10x + 10 = 180

10x = 180 - 10

10x = 170

Divide both sides by 10

x = 17

m∠N = (3x-10)°

Plug in the value of x

m∠N = 3(17) - 10

m∠N = 41°

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW

A rental car company charges $55 plus $0.50 per mile to rent a car. Mt. Judd does not want to spend more than
%150 for his rental car. Write and solve an inequality to find how many miles he can drive and not spend more
than $150. Interpret/explain the solution.
Incorrect work/Solution
Identify and Explain Error
m = miles
0.5m < 150
0.5 0.5
m< 30
Mr. Judd can drive at least 50 miles.
Correct Work/ Solution
Share Strategy

Answers

Answer:

*See below*

Step-by-step explanation:

Identify and Explain Error

The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.

Correct Work/Solution

$55 to rent

$0.50 per mile

Let's start by removing $55 from $150 to see how many dollars is left over for gas.

150 - 55 = 95

Then, divide 95 by 0.5

95 ÷ 0.5 = 190

He can drive at least 190 miles.

Share Strategy

Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.

Note:

Hope this helps :)

Have a great day!

If a car averages 22 miles per gallon, how many kilometers per liter is this?

Answers

We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km

Since it's mile per gallon, we divide the units mentioned above.

1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251

Now multiply this result as a factor to 22

That is 22 * 0.4251 = 9.3522

So the answer is 9.3522

A retailer needs to purchase 11 printers. The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers. What is the total cost of 11 printers?

$381.99
$500.19
$606.10
$609.00

Answers

Answer:

$500.19 is the answer

Step-by-step explanation:

pls vote branliest

The total cost of 11 printers is $500.19.

Given that,

A retailer needs to purchase 11 printers.

The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers.

We have to determine,

What is the total cost of 11 printers?

According to the question,

The first printer costs $58.

Each additional printer costs 5% less than the price of the previous printer, up to 15 printers.

The cost of a second printer is,

= 0.95 × 58 = $55.1

The cost of a third printer is,

= 0.95 × 55.1 = $52.345

The cost of a fourth printer is,

= 0.95 × 52.345 = $49.727

The cost of a fifth printer is,

= 0.95 × 49.727 = $47.241

The cost of a sixth printer is,

= 0.95 × 47.241 = $44.879

The cost of a seventh printer is,

= 0.95 × 44.879 = $42.635

The cost of an eight printer is,

= 0.95 × 42.635 = $40.50

The cost of a nineth printer is,

= 0.95 × 40.50 = $38.478

The cost of tenth printer is,

= 0.95 × 38.478 =  $36.554

The cost of the eleventh printer is,

= 0.95 × 36.554  = $34.726

Therefore,

The total cost of 11 printers is,

= $58 + $55.1 + $52.345 + $49.727 + $47.241 + $44.879 + $42.635 + $40.50 + $38.478 + $36.554 + $34.726 = $500.19.

Hence, The total cost of 11 printers is $500.19.

For more details refer to the link given below.

https://brainly.com/question/16048559

Evaluate.

16÷(2+1/2)2

(the 2 at the end is a 1 half to the 2 power)

Answers

PEMDAS, notice Parentheses is first, then Exponents 2nd

[tex]16\div\left(2 + \left( \frac{1}{2} \right)^2 \right)\implies 16\div\left(2 + \left( \frac{1^2}{2^2} \right) \right)\implies 16\div\left(2+\frac{1}{4} \right)[/tex]

now that the exponent got done, let's keep in the parentheses

[tex]16\div\left(\frac{2}{1}+\frac{1}{4} \right)\implies 16\div\left(\cfrac{8+1}{\underset{\textit{using this LCD}}{4}} \right)\implies 16\div \left( \cfrac{9}{4} \right)[/tex]

PEMDAS, after all that we'll do D, Division next

[tex]16\div \left( \cfrac{9}{4} \right)\implies \cfrac{16}{1}\div \cfrac{9}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{9}\implies \cfrac{64}{9}\implies 7\frac{1}{9}[/tex]

--------------------------------------------------------------------------

this just some addition to your previous posting, since you kinda got spammed some

[tex]\stackrel{\stackrel{\textit{E first}}{\downarrow }}{2^3}+4\cdot 2-7\implies 8+4\cdot 2-7\implies 8+\stackrel{\stackrel{\textit{M second}}{\downarrow }}{8}-7\implies \stackrel{\textit{AS last from left to right}}{16-7\implies 9}[/tex]

notice, PEMDAS, P first and so on, AS are last, from left to right.

hello need help question below​

Answers

What’s the question?

At a soccer game, a vendor sold a combined a total of 220 sodas and hotdogs. The number of sodas was sold was 46 more than the number of hotdogs sold. Find the number of sodas sold and the number of hotdogs sold.

Answers

Answer:

133 sodas and 87 hotdogs were sold.

Step-by-step explanation:

math

Answer:

number of sodas: x+46 (46 more than hotdogs)

number of hotdogs: x

x+x+46=220

2x+46=220

2x=174

x=87

87+46=133

number of sodas: 133

number of hotdogs: 87

Using the previous problem, what is the rate at which
the shadow changes when the person is 10 ft from the wall,
if the person is walking away from the wall at a rate of 2 ft/
sec

Answers

Answer:

It grows at a rate  

4/9 ft/second

Step-by-step explanation:

A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought? (5 points)

1.5x + y = 12
x = 9y

x + 1.5y = 12
x + y = 9

x + 9y = 12
x = 1.5y

9x + y = 12
x = 1.5y

Answers

Answer:

9 = x + y

1x + 1.5y = 12

Step-by-step explanation:

9 (number of items) = x (number of pencils) + y (number of pens)

1x (cost of x number of pencils) + 1.5y (cost of y number of pen s)= 12 (total cost)

A mother earned ​$8750 from royalties on her cookbook. She set aside​ 20% of this for a down payment on a new home. The balance will be used for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) that earns​ 4% and the remainder in a savings bond that earns​ 7%. If the total interest earned after one year is ​$420​, how much money was invested at each​ rate?

Answers

Answer:

Step-by-step explanation:

The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is

... 0.80 × $8750 = $7000

If x represents the amount invested at 7%, then the total interest earned is

... (7000 -x)×4% + (x)×7% = 420

... 280 +0.03x = 420

... x = 140/0.03 ≈ 4666.67

$4666.67 was invested at 7%.

$2333.33 was invested at 4%.

The owner of a local shop made a list of how much she pays her employees by the hour.




Which measure of central tendency would the store owner use if she wanted to argue that the employees are paid well?

A. the mean
B. the median
C. the mode
D. the range
GIVING BRAINLIST

Answers

Answer: The answer is D

Step-by-step explanation:

I took the quiz

one answer.
Select
Suppose the average player in the NBA is 78 inches tall with
a standard deviation of 2.7 inches, while the average player 10 points
in the WNBA is 69 inches tall, with a standard deviation of 3.2 inches. Who is
relatively taller based on their comparison to their profession, Lebron James
(NBA) at 81 inches or Candace Parker (WNBA) at 76 inches?
A. O LeBron is relatively taller because he has a larger Z-score.
B. O LeBron is relatively taller because he has a smaller z-score.
a
c. O Candace is relatively taller because she has a larger Z-score.
D. O Candace is relatively taller because she has a smaller Z-score.

Answers

Using z-scores, it is found that the correct option is:

c. Candace is relatively taller because she has a larger Z-score.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

For the z-score of Lebron's height, we have that: [tex]X = 81, \mu = 78, \sigma = 2.7[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 78}{2.7}[/tex]

[tex]Z = 1.11[/tex]

For the z-score of Candace's height, we have that: [tex]X = 76, \mu = 69, \sigma = 3.2[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 69}{3.2}[/tex]

[tex]Z = 2.19[/tex]

Due to the higher z-score, Candace is relatively taller, hence option c is correct.

A similar problem is given at https://brainly.com/question/12982818

What's the missing addend 634 + =644

Answers

Answer:

10

Step-by-step explanation:

it is 10 cause 634+10=644

Answer:

10

Step-by-step explanation:

What is the missing addend?

We can fill in the blank with x

634+x=644

Now we need to get x to the other side

The rule to do this is what we do on one side we have to do the same thing to the other side

so if we subtract 634 on one side we also have to do that on the other side as well:

634-634+x=644-634

634-634 is 0

So it is

x=644-634

644-634 is 10

x=10

So the missing addend is 10

Hope this helps!

NEED NOW PLEASE.....

Answers

i believe it’s b :)))

Todd drinks 4 liters of water every day. There are approximately 29.6 Milliliters in 1 fluid ounce. Which measurement is closest of to the number of fluid ounces in 4 liters/
A.7 fl oz
B. 34 fl oz
C. 118 fl oz
D. 135 fl oz

Answers

Answer:

D is the closest. The exact is 135.256

y over 11 =8 .solve for y

Answers

Answer:

y=88

Step-by-step explanation:

uhh…maybe 88? Btw if I’m wrong sorry I’m really tired and just tryin to help

Sara earns a basic salary of 14250 every month with an additional 12% commission on her sales. If Sara sold items worth AED 22264 last month, what was her total pay?
a. AED 16921.68
b. AED 24935.68
c. AED 1710
d. AED 2671.68

Answers

Answer:

A

Step-by-step explanation:

Commission: 22264*0.12=2671.68

Total pay: 14250+2671.68=16921.68

The total pay of Sara after adding the commission is: Option A:  AED 16921.68

How to find the net income?

Sara's total pay consists of her basic salary plus the commission on her sales.

Basic salary = AED 14250

Commission on sales = 12% of AED 22264

Commission = 0.12 * 22264

Now, calculate the commission:

Commission = 0.12 * 22264 = AED 2671.68

Total pay = Basic salary + Commission

Total pay = 14250 + 2671.68 = AED 16921.68

So, Sara's total pay is AED 16921.68

Read more about Net Income at: https://brainly.com/question/30404567

#SPJ3

4. Write an equation of the vertical line that passes through the point (-2,-8)

Answers

X=-2
You can know this because when you have only an x value you graph it by drawing a line straight up from there because there is every possible y value.

Write 110% as a mixed number in simplest form

Answers

Answer:

1 1/10

Step-by-step explanation:

110% = 110/100 = 11/10 = 1 1/10

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