Answers
[tex]\:\:\:\:\:\:\:\:\:\:\therefore\bf{x=3\:and\:y=1}[/tex]
Solution
[tex]\:\:\:\bf{(2^{x+y},\:3^{x-y})=(16,9)}[/tex]
[tex]\sf{Here,}[/tex]
[tex]\:\:\:\star\tt{\:\:2^{x+y}=16\:and\:3^{x-y}=9}[/tex]
[tex]\sf{Solving,}[/tex]
[tex]\:\:\:\implies\tt{\:\:2^{x+y}=16}[/tex]
[tex]\:\:\:\implies\tt{\:\:2^{x+y}=2^4}[/tex]
[tex]\:\:\:\implies\tt{\:\:x+y=4}[/tex]
[tex]\:\:\:\bf{\:\:x=4-y-----(i)}[/tex]
[tex]\sf{Solving,}[/tex]
[tex]\:\:\:\implies\tt{\:\:3^{x-y}=9}[/tex]
[tex]\:\:\:\implies\tt{\:\:3^{x-y}=3^2}[/tex]
[tex]\:\:\:\bf{\:\:x-y=2-----(ii)}[/tex]
[tex]\sf{Putting\:the\:value\:of\:(i)\:in\:(ii),}[/tex]
[tex]\:\:\:\implies\tt{\:\:4-y-y=2}[/tex]
[tex]\:\:\:\implies\tt{\:\:4-2y=2}[/tex]
[tex]\:\:\:\implies\tt{\:\:-2y=2-4}[/tex]
[tex]\:\:\:\implies\tt{\:\:\cancel{-}2y=\cancel{-}2}[/tex]
[tex]\:\:\:\implies\tt{\:\:y=\frac{\cancel{2}}{\cancel{2}}}[/tex]
[tex]\:\:\:\bf{\:\:y = 1}[/tex]
[tex]\sf{Putting\:y = 1\:in\:(i),}[/tex]
[tex]\:\:\:\implies\tt{\:\:x=4-1}[/tex]
[tex]\:\:\:\bf{\:\:x = 3}[/tex]
[tex]\:\:[/tex]
Related Questions
1) Hot dogs are sold in packs of 10 and hot dog buns are sold in packs of 8. Tommy wants
to know the least number of packs of hot dogs and buns he needs to buy so that he does not
have any left over.
) Complete the table.
Answers
Answer:
10, 20,30, 40, 50
Step-by-step explanation:
You times them all by 10 for example: 1x10=10 2x10=20 3x10= 30 4x10=40 and 5x10=50.
If we buy four packs of hot dogs and five packs of buns then we don't have any left over.
What is Least common multiple?The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.
For example: Take two integers, 2 and 3.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 ….
Therefore, 6 is the least common multiple of 2 and 3.
Given:
Packs 1 2 3 4 5
Hot Dogs 10 20 30 40 50
Bun 8 16 24 32 40
Also, LCM(10, 8)
10= 2 x 5
8= 2 x 2 x 2
So, LCM(10, 8)= 2 x 2 x 2 x 5 = 40
Hence, If we buy four packs of hot dogs and five packs of buns then we don't have any left over.
Learn more about LCM here:
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If a car top speed is 180km/h how far will it go in 3 hours
Answers
If -13(q+4) is equal to 7q+16 what’s is q
Answers
Answer:
q = - 3.4
Step-by-step explanation:
- 13(q + 4) = 7q + 16 ← distribute parenthesis on left side
- 13q - 52 = 7q + 16 ( subtract 7q from both sides )
- 20q - 52 = 16 ( add 52 to both sides )
- 20q = 68 ( divide both sides by - 20 )
q = - 3.4
Hi can u plz help me
Answers
Answer:
7 / 6
Step-by-step explanation:
( 2x + 6 ) / 5 = 4x - 3
2x + 6 = 5 ( 4x - 3 )
2x + 6 = 20x - 15
20x - 15 = 2x + 6
20x - 2x = 6 + 15
18x = 21
x = 21 / 18
21 = 7 * 3
18 = 6 * 3
x = 21 / 18
= ( 7 * 3 ) / ( 6 * 3 )
x = 7 / 6
Hence proved.
Help me solve this ASAP please
Answers
Step 1 -Multiply both sides of the equation by 18
Step 2 - Collect like terms
Step 3 - Swap the sides of the equation
Step 4 - Divide both sides of the equation by 13
Bella is going to invest $94,000 and leave it in an account for 9 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a percent, would be required in order for Bella to end up with $156,000?
Answers
Answer:
8.8420
Step-by-step explanation:
Pls answer ASAP this is timed and don’t put a link
Answers
Answer:
C: mean 6.5 median 6
Step-by-step explanation:
median you find middle number in sorted numbers lined up. mean is all numbers added up and divided by how many there are
Evaluate
Write your answer as a fraction in simplest form.
HELP PLEASE
Answers
Answer
-3⁻³/6⁻²
= (-1*3)⁻³/(2*3)⁻²
= -1⁻³·3⁻³/2⁻²·3⁻²
= -1.3⁻³⁺²/2⁻²
= -1.3⁻¹/2⁻²
= -4/3
Step-by-step explanation:
How many groups of 1/2 pounds are their in 2 3/4 pounds
Answers
Answer:
2/11
Step-by-step explanation:
These are division problems.
[tex] \frac{1}{2} \div 2 \frac{3}{4} [/tex]
convert 2 3/4 to an improper fraction. 4 x 2 + 3
[tex] \frac{1}{2} \div \frac{11}{4} [/tex]
keep change flip
[tex] \frac{1}{2} \times \frac{4}{11} [/tex]
cancel the 2 and 4. the 2 becomes a 1 and the 4 becomes a 2
[tex] \frac{1}{1} \times \frac{2}{11} [/tex]
multiply
[tex] \frac{2}{11} [/tex]
Please help with this math problem
Draw a figure and then solve
Answers
Answer:
x=180-a/2+a/2
m AEP =90
Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31)
Answers
Answer:
9x-y = 5
Step-by-step explanation:
Equation of line in slope intercept form:
y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)
y-31 = 9*(x-4)
y-31 = 9x-36
9x-y = 36-31
9x-y = 5
The table gives selected values of the function y=ax^3 + bx^2 +cx + d. What is a+d?
x -2 -1 0 1 2 3
y 36 0 -6 0 0 -24
Answers
Answer:
What is the volume of a sphere with a radius of 24 units? A. 92167 units O B, 230477 unite 3 O c. 18A324 units D. 13,8247 units
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
A. 5y = 45.00; y = 9.00
Step-by-step explanation:
Step 1:
There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.
So, the amount of money the friends contributed is 5y.
The total amount of all the friends' money put together is given; $45.00.
So 5y = 45.00
______________
Step 2:
Divide 45.00 by 5 to find out how much each of the five friends contributed individually;
45.00 ÷ 5 = 9.00
So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.
y = 9.00
______________
Model it:
5y = 45.00; y = 9.00
______________
Hope this helps! :)
Simplify the following:
1)y^6/y^2
2)b^7/b^5
Answers
Answer:
look at the photo i have sent
Which arrangement shows264, 6.45, 625, and508 in order from least to greatest?
A. 508, 625,264, 6.45
B. 508, 625, 6.45, 264
C. 264, 508, 625, 6.45
D. 625, 508, 6.45, 264
PLZ help I really need answer ill make you brainliest
Answers
Answer:
C.264,508,625,645
Step-by-step explanation:
the arrangement is from the least number to the greatest
PLS HELP i urgently need help with this "A rolling pin has a diameter of 5 inches. If Lin rolled it across the table and it made 35 rotations, how far did it travel? Round to the nearest tenth."
Answers
Answer:
549.78"
Step-by-step explanation:
diameter÷2=radius=2.5"
2pi2.5=15.71
15.71×35=549.78
Answer clearly !!
Find the area
Answers
For height of garden we can use Phytagoreaan Theorem :
h² = 25² - 7²
h² = 625 - 49
h² = 576
h = 16 m
Area
= 1/2 × base × height
= 1/2 × 14 m × 16 m
= 7 m × 16 m
= 112 m²
George visits a store to buy 2 flash drives. They are priced at $28 each. How much does he need to spend on his purchase?
Answers
$28x2=$56
or
$28+$28=$56
what law would you use to simplify (2xy)^(2)
Answers
Answer:
(2xy)²
Step-by-step explanation:
please mark me as brainliest
If you borrow $3,500 at 4% simple interest for 3 years. How much money do you have
to pay
Answers
Answer:
Hii, I believe your answer would be $3,360
Hope this helps!
Step-by-step explanation:
Influenced or Limited or Both?
1. The gene is located in the autosomes
2. Expression of the gene is only in one sex
3. Expression of the gene is mostly observed in one sex.
4. Trait act as recessive in one sex and dominant in another sex.
5. Traits can be passed on to the next generation even without expressing the trait.
Answers
2. Both
3.Limited
4.Influenced
5.Influenced
How many different 9-letter "words" can you
make by arranging the letters in DEVIATION?
The arrangements don't have to be actual words
that are included in any dictionary.
Answers
There are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.
The given word is DEVIATION and we are required to find out the number of different 9-letter “words” that can be formed by arranging its letters.
To solve the problem, we will use the formula for finding permutations of n objects taken r at a time when all the objects are distinct.
The formula is given by: nPr = n! / (n-r)! where n is the total number of objects and r is the number of objects to be selected.
Here, we have 9 objects (letters) and we need to arrange all of them, so r = 9.
Now, we need to find out the value of n.
The given word DEVIATION has 9 letters, but two of them (E and I) are repeated twice.
Therefore, n = 9 - 2 = 7.
We will substitute these values in the formula to get the required answer:
nPr = n! / (n-r)! = 7! / (7-9)! = 7! / (-2)! = 7! / 1 = 5040
Therefore, there are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.
For more questions on permutations
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i need help how do you do this
Answers
Answer:
very easy just follow instruction
PLZZ HELP ME i really need help
Answers
Answer:
1
Step-by-step explanation:
the function is y=x+1
Please help! I'll mark Brainliest.
I just need to know what G and F are! Or how to find them? I'm being timed!
Answers
Answer:
G and F are the lines I guess? You have to use them to answer the rest of the questions.
point Find the length of segment CD with C(2,3) and D (-3, 15
Answers
Step-by-step explanation:
so, if the text is correct, the 2 points are
(2, 3) and (-3, 15).
the length of the line segment is the distance between both points.
did this we use Pythagoras for right-angled triangles.
c² = a² + b²
c is the Hypotenuse and the distance between both points. a and b are the legs (enclosing the 90 degree angle), which are simply the differences of the x and the y coordinates.
so,
distance² = (2 - -3)² + (3 - 15)² = 5² + (-12)² = 25 + 144 = 169
distance = sqrt(169) = 13 = length of line segment
At a super market broccoli and celery are sold at $0.59 per 100 g and $0.26 pee 100g.how much do 1.2 kg of broccoli and 950 g of celery costs
Answers
1.2 kg of broccoli costs $7.08.
950 g of celery costs $2.47.
In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli
1 kg = 1000 g
100g = 0.1 kg
Cost of one kg of broccoli = $0.59 / 0.1 = $5.90
The second step is to determine the cost of 1.2kg of broccoli.
$5.9 x 1.2 = $7.08
In order to determine the cost of 950g of celery, the cost of 1g of celery.
$0.26 / 100 = $0.0026
The second step is to determine the cost of 950g of celery.
950 x 0.0026 = $2.47
A similar question was answered here: https://brainly.com/question/8138090?referrer=searchResults
Problem 2: A ball is dropped from rest from a height of 6 meters, Find the time it takes the ball
to fall. Find the velocity of the ball just before it hits the earth. Assume no air resistance and
that acceleration due to gravity (g) is 9.8 m/s/s.
Answers
Answer:
1.11 s , 10.88 m/s
Step-by-step explanation:
Initial velocity and air resistance = 0
Time to fall : s = 1/2 gt²
6 = 1/2 * 9.8 * t²
t² = 1.224
t = 1.11 s
final velocity = initial velocity + gt
= 0 + 9.8 * 1.11
= 10.88 m/s
A lobster weight 42 1/5kg A crab weight 41/5kg less than lobster what is their combined weight
Answers
Crab Weight
= 42 1/5 - 41/5
= 211/5 - 41/5
= 170/5
Combined weight
= 170/5 + 211/5
= 381/5
= 76 1/5
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Please Answer!! Will give Brainliest
Answers
Answer:
2
Step-by-step explanation:
EZ, I am in 7th, and I did coordinate plane, it so ez, anyways hope that hels