Mathematics High School

Given that x and y are positive integers and (x*2)+x(2^2)+(y*2^3)+(y*2^4)=42, what is the value of xy? PLEASE HELP!!!!!!

Note: Answer is not x=0, y=7 or y=0, x=7

Answers

Answer 1

Answer:

x = 3, y = 1

Step-by-step explanation:

If your question is this: 2x + 4x + 8y + 16y = 42

6x + 24y = 42

3x + 12y = 21

For x and y are positive integers, there is only 1 set of x = 3 and y = 1 is the solution  (because x = 7 and y = 0 is excluded)

check: 6 + 12 + 8 + 16 = 42

Related Questions

LOOK AT THE PIC BELOW

Answers

Answer:

TO FIND THE AREA OF A RECTANGLE, THAT IS L×B OR L× W (WIDTH/BREADTH) IS THE SAME THING. KEEP THAT IN MIND. SO : 90FT × 150FT. = 13500FTSQ.

BUT WE ARENT FINISHED . YOU NEED TO FIND THE AREA OF BOTH SEMICIRCLES (SEMI MEANS HALF) , SO HENCE, THE AREA OF BOTH HALF SEMICIRCLES.

THAT IS : PIRSQUARED. PI×R×R. THE RADIUS IS UNKNOWN. SO WE WILL USE THE DIAMETER TO FIND THE RADIUS SINCE THE DIAMETER IS TWICE THE RADIUS. THAT IS : 90÷2 , THAT IS = 45.

SO WE KNOW THE RADIUS OF EACH SEMI CIRCLE IS 45. SO NOW :

PIRSQUARED = PI × R×R 3.14 × 45×45 OR 45SQUARED.

THAT IS : 6,358.5 FT SQUARED.

NOW 6,358.5FT SQ IS ONLY THE AREA OF ONE SEMICIRCLE. SO NOW WE KNOW THAT BOTH SEMICIRCLES HAVE A AREA OF 6,358.5 FT SQ.

WE WILL ADD : 6,358.5 + 6,358.5 = 12,717.

YOU ARE GOING TO ADD THE AREA OF BOTH HALF CIRCLES TO THE AREA OF THE RECTANGLE.

= 26,217FT SQ.

SINCE THEY ARE PROBABLY ONLY ASKING FOR THE AREA OF THE RECTANGLE, THEN THE ANSWER WOULD BE 13500FT SQ INSTEAD OF 26,217. NOT SURE

Answer:

C, 19858.5 [tex]ft^2[/tex]

Step-by-step explanation:

Imagine that these are two semi-circles on either side of a rectangle

the diameter of the semi circle is 90, and the radius is half of the diameter.

this means the radius is 45 (for both circles)

so now lets apply that to the area of a full circle, [tex]\pi r^2[/tex]

replace r with the radius [tex]\pi 45^2[/tex]

using 3.14 as pi, your answer should be 6358.5

but now remember that his is the area of a full circle, not a semi circle, so we must divide by 2 to get the semi circle area, which would then be 3179.25

since there's two semi circles, you would multiply this by two and now you're back to 6358.5

if that was confusing you can think of it as a full circle split into two parts on either side of the rectangle rather than two semicircles, so the two split pieces would add together to make the area of a full circle

now calculate the area of the rectangle, which is length times width

150 * 90 = 13500

so add the area of the rectangle to the area of the two semicircles and the answer is 19,858.5 :)

399 divided by blank equals 3.99

Answers

399 divided by 100 equals 3.99

Answer:

100

Step-by-step explanation:

399/100= 3.99

im honestly not sure how to explain it.

For every rider picked up, Uber charges a $5.50 fee plus $0.35 per mile. Write the linear function that represents the total cost of an Uber ride for any number of miles

Answers

Answer:

Y =0.35x

Step-by-step explanation:

You know you have to pay the 5.50 so that isn't going to change so that'd cleared up. Next .35 is multiplied every mile they drive

You have 10 gallons of lemonade to sell. 1 gallon is approxiamately 3785 cm3. Each customer uses one paper cup as shown. Hay many paper cups will you need?

the cups a cone shape with the radius of 8 cm and the height or 11 cm

A. 205

B. 312

C. 544

D. 78

Answers

i think the answer would be D 78 hope it helps

please hurry i have less than five minutes
Would you expect the line in the question described above (y=−9.25x−1.75y=−9.25x−1.75 ) would have a slope that points up and to the left or up and to the right? Why?

Answers

Answer:

Up and to the left.

Step-by-step explanation:

I checked it on desmos graphing calculator

Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?

A 12%12%

B 22%22%

C 75%75%

D 88%

Answers

Answer:

[tex]88 \\ \\ \\ 25 - 3 = 22 \\ 22 \div 25 \times 100 = 88\%[/tex]

D 88%


If you make it into an easier number to work with like 100 you get that he brought 100 cupcakes to school and brought home 12. That means he brought home 12% of the cupcakes 100%-12% is 88% which is the amount he shared at school.

how much short of 2 metres to 107cm​

Answers

Answer: 93 centimeters

Step-by-step explanation:  Its 93 cm because 2 metres is equivalent 200 cm, so 200-107= 93.

please help me i dont know it
.

Answers

Answer:

c

Step-by-step explanation:

If x=7 then which answers would I circle? A. X + 7 = 17 b. 7 = 17 - x c. 70 = 10x d. X/35 = 5 e. 15x = 105

Answers

Answer:

C. 70 = 10x

E. 15x = 105

Step-by-step explanation:

x = 7

Using method of elimination;

A. X + 7 = 17

Substituting the value of x;

7 + 7 ≠ 17 (Incorrect option)

B. 7 = 17 - x

Substituting the value of x;

7 ≠ 17 - 7  (Incorrect option)

C. 70 = 10x

Substituting the value of x;

70 = 10 * 7  (Correct option)

D. X/35 = 5

Substituting the value of x;

7 / 35 ≠ 5  (Incorrect option)

E. 15x = 105

Substituting the value of x;

15 * 7 = 105  (Correct option)

pls answer asap!!ty!!
Please label the missing angles below.

Answers

Answer:

Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.

Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.

Work for Triangle C: Same as B.

Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.

Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.

A scale model of the Washington Monument is 15 inches tall and the base is 1.5 inches wide. If the actual monument is approximately 555 feet tall, which is closest to the width, in feet, of the base?

Answers

its fake the guy linky

What is the solution to the system graphed below? ​

Answers

Answer:

The solution is (-4,-1)

Step-by-step explanation:

The solution to the system is where the two graphs intersect.

The lines intersect at x = -4 and y = -1

The solution is (-4,-1)

Sorry I need this answered again because a spammer answered it the first time :/

The circulatory system helps provide energy to the body when it
A. Carries wastes to the liver and kidneys
B.carries carbon dioxide to the lungs
C.carries oxygen and nutrients to the muscles
D.carries hormones through the bloodstream

Answers

Answer:

C

Step-by-step explanation:

lord have mercy
please help me

Answers

Answer:

-24 and positive 2

Step-by-step explanation:

Jerome discovered he had made an error when he measured one of the feathers. Which data value could be the error? Explain

Answers

Answer:

3/4

Step-by-step explanation:

From the plotted number line :

The Outlier value can be determined :

Q1 = 0.25(n+1)th term

Q1 = 0.25(21)th term =  5.25th = (2 1/4 + 2)/2 = 2.125

Q3 = 0.75(21)th term = 15.75th = 2 1/2

IQR = Q3 - Q1 = 2.5 - 2.125 = 0.375 = 3/8

Q1 - 1.5(IQR) = 2.125 - (1.5*0.375) = 1.5625

Q3 - 1.5(IQR) = 2.5 + (1.5*0.375) = 3.0625

Hence, Outlier values will be :

Values < 1.5625 and

Values > 3.0625

The Outlier value in the data is 3/4

Consider JKL and MNO
Which piece of information can be used to prove that AJKL - AMNO ?

Answers

angle K = angle N
Hypotenuse-Angle Theorem (HA)

Need help with the answer please

Answers

The answer would be 42%

Four fifths of a number equals 11.

Answers

Answer:

13.2

Step-by-step explanation:

hope this helped

Answer:

13 3/4

Step-by-step explanation:

11 x 5/4 = 55/4 = 13 3/4

check:

13 3/4 x 4/5 = 55/4 x 4/5 = 210/20 = 11

What is the measure of the missing angle?

Answers

Answer:

79

Step-by-step explanation:

After 3 hours of steady snowfall, Rhianna measures how much snow is in her driveway. She finds there is 1/2 of an inch of snow. How many inches of snow fell each hour?

Answers

Answer:

1/6 inch per hour

Step-by-step explanation:

1/2 ÷3= 1/6

Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals. a) How much money was in the account after one year? b) How much money was in the account after 4 years? c) Was the amount of money earned in interest the same or different each year?

Answers

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

ADC is a triangle.

AED and ABC are straight lines.

EB is parallel to DC.

Angle EBC=148°

Angle ADC=63°

Work out the size of angle EAB.

You must give a reason for each stage of your working out.

Answers

Answer:

[tex]\angle EAB = 85[/tex]

Step-by-step explanation:

Given

[tex]\angle EBC = 148[/tex]

[tex]\angle ADC = 63[/tex]

See attachment for triangle

Required

Find EAB

[tex]\angle AEB = \angle ADC = 63[/tex]  --- corresponding angles

[tex]\angle ABE + \angle EBC = 180[/tex] --- angle on a straight line

So:

[tex]\angle ABE + 148 = 180[/tex]

This gives:

[tex]\angle ABE =- 148 + 180[/tex]

[tex]\angle ABE =32[/tex]

Considering: [tex]\triangle ABE[/tex]

[tex]\angle ABE +\angle AEB +\angle EAB = 180[/tex] --- angles ina triangle

So:

[tex]32 +63+\angle EAB = 180[/tex]

[tex]95+\angle EAB = 180[/tex]

Collect like terms

[tex]\angle EAB = 180-95[/tex]

[tex]\angle EAB = 85[/tex]

HURRY I WILL GIVE 100 pointssss!!!
A climber is on a hike. After 4 hours he is at an altitude of 800 feet. After 12
hours, he is at an altitude of 1400 feet. What is the average rate of change? *

Answers

Answer:

First Problem: 200 ft/hour Second Problem: 3 ft/hour

Step-by-step explanation:

R = D/T

So, 800/4=200

We will check if the rate matches for the second example rate:

1400/12=200. It does, so we know we are correct

Problem 2:

R = D/T

90/30=3

Hope it helps.

Write an expression for the operation described below. r times 10​

Answers

Answer:

r * 10

Step-by-step explanation:

* stands for multiplying.

Natalia is was paying $165 for her cell phone plan with Sprint. She found a better deal with AT&T and switched companies and now pays $129. What is her percent savings to the nearest percent?

Answers

im pretty sure she saved 22%.

What property do we use when we find equivalent fractions?

Answers

Answer:

It's called the cross multiply rule. The rule is shown below: This formula says that if the numerator of one fraction times the denominator of the other fraction equals the denominator of the first fraction times the numerator of the second fraction, then the fractions are equivalent.

Step-by-step explanation:

The scatterplot below represents the amount of paper left in an office copy machine in the month of June.
Approximately, what is the amount of paper left inside the machine on 14th of June​

Answers

Answer:

75

Step-by-step explanation:

Approximately 87, I could be wrong

I forgot how to do this

Answers

to find the area of the rectangle, do A=lw which is 4x13=52. to find the area of the triangle, first find the height. this is 13-6=7. now do A=bh/2 which is (5x7)/2=17.5. 17.5+52=69.5 which is your answer. DONT OPEN ANY LINKS ON HERE, ITS A VIRUS
First you calculate the area of the rectangle.
It‘s simply one side times the other side.

In your task this would be:
4ft x 13ft = 52 square ft

Now you have to calculate the area of the triangle. The formula for this is: Height x Length of the base x 1/2

So in your task this would be:
7ft x 5ft x 1/2 = 17.5 square ft

(you get the 7ft by subtracting 6ft from 13ft, which results in the height of the triangle)

Now you just add those two surfaces areas together:
52 square ft + 17.5 square ft = 69.5 square ft

All 5 students in Mrs.Awful’s class got 50 for the test For the next test, one of the students got 100 but the remaining students all got 50. What it the average grade in the class now?

Answers

Answer:

60

Explanation:

the formula for calculating the average grade would be the total score of all students ÷ the number of students. in this case, that would be:

(100 + 50 + 50 + 50 + 50) ÷ 5

= 300 ÷ 5

= 60

so, the average grade is 60.

i hope this helps! :D

Given f(X) = 4x^4+5x - 15x² - 45, find f(-3).

Answers

Answer:

i think the answer is 174

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