Solva.
3
ba
a+b=21
1
a = 37
0 = 20
a = 20
b = 11
1
o = 12
b = 9
b = 15
b = 16
10.
4

Solva.3baa+b=211a = 370 = 20a = 20b = 111o = 12b = 9b = 15b = 1610.4

Answers

Answer 1

The values of a and b in the sytem of equation are 12 and 9 respectively.

How to find the variables(a and b) in the sytem of equation?

b = 3 / 4 a

a + b = 21

Therefore, let's substitute b in equation(ii)

a + b = 21

a + 3 / 4 a = 21

4a + 3a / 4 = 21

7a / 4 = 21

cross multiply

7a = 21 × 4

7a = 84

divide both sides by 7

a = 84 / 7

a = 12

b = 3 / 4 a

b = 3 / 4 × 12

b = 36 / 4

b = 9

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Related Questions

find the root of 6x^2+13×+6=0 using graphical method of quadratic equation​

Answers

Answer....

Ok done. Thank to me >:33

Help pls use π = 3.14 and round your answer to the nearest hundredth

Answers

The volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.

What is the Volume of a Sphere?

Volume of a sphere, where r is the radius of the sphere, is determined using the formula, V = 4/3 × π × r³.

Given the radius of the sphere is 4 feet

Volume of the sphere = 4/3 × π × r³ = 4/3 × 3.14 × 4³

Volume of the sphere = 268.08 ft³

Therefore, the volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.

Learn more about volume of sphere on:

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An antibiotic kills 60% of bacteria in a sample of 100,000 each day. The equation P2 - 100,000(0.4) represents the
population, Pı, after d days. Four days after introducing the antibiotic to the first sample, a scientist introduces the same
antibiotic to a second population, P2. The number of bacteria after d days in the second population is represented by the
equation P2 = 100,000(04) 0-4. Which equation is equivalent to pz?
а
O P2 - 2,560(0.4)
O P2 - 99,744(0.4)
O 02 - 100,256(0.4)
O P2 - 3,906,250(0.4)

Answers

The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression

The equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

How to determine the equivalent equation?

The equation is given as:

P2 = 100000(0.4)^(d - 4)

Apply the law on indices on the expression.

P2 = 100000(0.4)^d * 1/0.4^4

Rewrite as:

P2 = 1/0.4^4 * 100000(0.4)^d

Evaluate the exponent

P2 = 39.0625 * 100000(0.4)^d

Evaluate the product

P2 = 3906250(0.4)^d

Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

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Answer:

D

Step-by-step explanation:

If y = -5 when x = 2, find y when x = 8.

Answers

Answer:

Y= -20

Step-by-step explanation:

if y=-5 when x=2 find y when x=8

8 /2 = 4

=> x = 2 * 4 => x = 8 Answer

y = -5 * 4 =>

y= -20

Is this correct?!? Please tell me

Answers

Step-by-step explanation:

It is a 5th degree binomial. The highest exponetial power of the polynomial is 5, therefore we are dealing with a 5th degree polynomial. "Polynomial" is a general term. Trinomial and binomial categorize it even more by the number of terms the polynomial has. There are two terms, so we are dealing with a binomial. The prefix bi means "two"

Answer:

Binomial with degree 5

Step-by-step explanation:

The polynomial 3x⁵ + 3 is a binomial with degree 5.

Why?

This option is correct because:

3x⁵ + 3 has two terms & hence is a binomial.Also, the highest exponential power in this polynomial is 5 & hence it's degree is also 5.

[tex]\rule{150pt}{2pt}[/tex]

Easy geometry need help tho.......25pts

Answers

Answer:

22 in.

Step-by-step explanation:

total volume= big thingy + long thingy

=>x=2.2.3+5.2=12+10=22

Please answer My Question.

Answers

Answer:

how many brothers do you have?

What is the answer to this?

Answers

Answer:

-8

Step-by-step explanation:

[tex]\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}[/tex]

Answer:

-8

Step-by-step explanation:

If a city with a population of 52,000 doubles in size every 97 years, what will the population be 291 years from now?

Answers

Answer:

156,000

Step-by-step explanation:

291 divided by 97 is 3. 52,000 x 3 = 156,000.

Population will be 6 times of present population in 291 years.

What is the population of a city ?

The number of people in the city at a particular time is called population of the city.

How to find the required population ?

Present population of the city = 52000

According to the problem, Population doubles in size in every 97 years.

After 97 years, the population = Double of present population

                                                  = 2 × 52000 = 104000

Population in 97 years = 104000

Population in 1 year = [tex]\frac{104000}{97}[/tex]

So, population in 291 years =  [tex]\frac{104000}{97}[/tex]× 291 = 104000×3 = 312000

Population in 291 years from now = [tex]\frac{312000}{52000}[/tex] = 6 times

Learn more about population here :

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#SPJ2

Which expression is equivalent

Answers

Answer:

it should be A i think

Step-by-step explanation:

i used a calculator

It’s A!! Hope this helps!!

3 X-5y= -3
3x-5y=11

please show work

Answers

Are we solving for x?

what is the opposite of -3.4

Answers

Answer:

3.4

Step-by-step explanation:

The opposite of a number is the same as the additive inverse of the number.

Two numbers are opposites, or additive inverses, if they add to zero.

For a positive or a negative number, just change its sign to find its opposite. For zero, its additive inverse is zero.

The opposite of -3.4 is 3.4.

Answer: 3.4

hello!

The opposite of a positive number is a negative number.

The opposite of a negative number is a positive number.

-3.4 is a negative number, so its opposite is a positive number.

Hence, the answer is 3.4

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

what is the slope of the line passing through the points (2,5) and (-1,-4)​

Answers

Answer:

m=y2-y1/x2-x1

=-4-5/-1-2

=-9/-3

=-3

30jk in expanded form ????

Answers

Answer:

Step-by-step explanation:

The expanded form of 30 is 30+ 0. 2. How can write a 30 number in expanded fraction form? In the expanded fraction form, you can write 30 as (3 x 10) + (0 x 1).

The solid below is made from cubes.
Find its volume.

Answers

Answer:

36 yd^3

Step-by-step explanation:

6*2*3

Consider the polynomial -2a^3b^2+5ab^5+7b^4+8 Write the degree of this​ polynomial, its leading​ term, its leading​ coefficient, and its constant term.

Answers

Answers:

Degree = 6Leading term = 5ab^5Leading coefficient = 5Constant term = 8

=====================================================

Explanation:

When we have multivariable terms like this, we add up the exponents for each monomial separately.

The first term -2a^3b^2 has its exponents add to 3+2 = 5The second term 5ab^5, aka 5a^1b^5, has the exponents add to 1+5 = 6The third term can be thought of as 7a^0b^4, so its exponents add to 0+4 = 4The last term 8 is really 8a^0b^0, and its exponent sum is 0

The degree of this entire multivariable polynomial is the largest sum calculated in the list above. That sum being 6. Therefore, the degree of the polynomial is 6.

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

From that we can circle the leading term 5ab^5 since the leading term is always the one with the largest exponent sum (aka degree). The current polynomial as written is not standard form. It should be this:

5ab^5 - 2a^3b^2 + 7b^4 + 8

Notice how the exponent sums decrease when going from left to right. The largest sum is always listed first. Hence the "leading" aspect of "leading term".

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

The leading coefficient is the coefficient of the leading term.

The coefficient of 5ab^5 is 5. More specifically, it's the first "5" mentioned. As another example, the coefficient of 7ab^5 would be 7.

The leading coefficient is 5

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

The constant is the term without any variables attached to it. It stays the same number the entire time.

The constant term is 8

The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.

Answers

The statement that describes the association between a player's age, and the average points is: C. There is a positive linear association and one outlier.

Linear association and outlier

The scatter plot shows a positive linear relationship because the points shown on the scatter plot closely look like a straight line.

We able to identify only one outlier based on the regression line because their is a distance between the point and the regression line.

Therefore there is a positive linear association and one outlier.

Learn more about Linear association and outlier here:https://brainly.com/question/9984029

https://brainly.com/question/2749543

Can someone help me please!!?

Answers

Answer:

AB=21

Step-by-step explanation:

14 is to (14 +12)   as   AB  is to (AB + 18)

14 / 26 = AB / (AB+18)      <===== cross multiply

14 (AB + 18) = 26 AB

AB = 21

Your local firefighters are having a fundraiser by selling tickets to an all you can eat pancake extravaganza. A child's ticket cost $6.50 each and an adult's ticket cost $8.50 each. They sell a total of 350 tickets and raise a total of $2695. How many children's tickets were sold?

Please Help!!​

Answers

Answer:

140 child tickets were sold

Step-by-step explanation:

a = number of adult tickets

c = number of child tickets

a+c = 350

6.50 c + 8.50a = 2695

Multiply the first equation by -8.50 together

-8.50c  -8.50c =-2975

Add this to the second equation to eliminate a

-8.50c  -8.50c =-2975

6.50 c + 8.50a = 2695

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

-2c   + 0a = -280

Divide by -2

-2c/-2 = -280/-2

c = 140

Write these as 24-hour clock times.
A- 6:05am
B- 11:20pm
C- 12 noon
D- 10:18pm

Answers

A- 6:05am

=0605hrs

B- 11:20pm

= 2320hrs

C- 12 noon

= 1200hrs

D- 10:18pm

= 2218hrs

have a nice day!

a. 06 05

b. 23 20

c. 12 00

d. 22 18

Question below! :)
Brainliest!

Answers

The angle shown is less than 90 degrees so it is an acute angle.


answer: acute

Acute angel is the Ana

Is the number -243 an integer?

Answers

Answer:

yes

Step-by-step explanation:

Yes it is because it is a whole number and rational

Please mark this as brainliest and I hope this helps you

yes it is an integer :))

i cant figure this problem can you guys help/

Answers

Answer:

r = 6.998 in

D = 13.996 in

C = 43.9697 in

Step-by-step explanation:

Area = π[tex]r^2[/tex]

153.86 = π[tex]r^2[/tex]

153.86/π = [tex]r^2[/tex]

sq root(153.86/π) = r ≈ 6.998 in

Diameter = 2r

D = 2(6.998) = 13.996 in

Circumference = 2πr

C = 2π(6.998)

C = 13.996π ≈ 43.9697 in

Hope this helps!

CHOOSING BRAINLIEST
A counselor determined that 60% of the senior class had taken a precalculus course and that 15% of the senior class had taken both a precalculus course and a statistics course?
What percentage of seniors who took a precalculus course also took a statistics course?

Answers

Using conditional probability, it is found that 25% of seniors who took a precalculus course also took a statistics course.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

In this problem, the events are:

Event A: Senior student took a precalculus course.Event B: Senior student took a statistics course.

The probabilities given are [tex]P(A) = 0.6, P(A \cap B) = 0.15[/tex].

The desired probability is P(B|A), hence:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.6} = 0.25[/tex]

0.25 = 25% of seniors who took a precalculus course also took a statistics course.

More can be learned about conditional probability at https://brainly.com/question/14398287

Find a unit vector u with the same direction as x =<40,9>.

Answers

Answer:

[tex]< \frac{40}{49} , \frac{9}{49} >[/tex]

Step-by-step explanation:

They have the same directionUpon cancelling the denominators, they give :< 40, 9 >Therefore, they have the same denominator

What do you think scalene means ?

Answers

Answer:

When you have a scalene triangle, the angles are less than 90 degrees, same as obtuse where the angles are bigger than 90 degrees.

35 is 25% of_. Do not round your answer.​

Answers

Answer:

140

Step-by-step explanation:

We already have our first value 35 and the second value 25. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

35 = 25% × Y

35 = 25/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:

Y = 35 × 100/25

Y = (35 × 100)/25

Y = 140

Finally, we have found the value of Y which is 140 and that is our answer.

Hope this is a better break down than before!

Answer:

140

Step-by-step explanation:

You can think of this as 35 = 25% of x.

25% = 0.25, so 35 = 0.25x.

You can multiply by 4 on each side to get

140 = 4(0.25)x which simplifies to

140 = x

sec x * cos x =
How do I solve this:/

Answers

Answer: [tex]cot(x)[/tex]

Step-by-step explanation:

Secant is defined as the inverse of sine. Mathematically:

[tex]secant=\frac{1}{sine}[/tex]

Therefore, rewriting the intial equation, you get:

[tex]sec(x)cos(x)=\frac{cos(x)}{sin(x)}[/tex]

This might seem random, but you should know that tangent is defined as:

[tex]tangent=\frac{sine}{cosine}[/tex]

Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:

[tex]\frac{cos(x)}{sin(x)}=cot(x)[/tex]

helppp ASAP *75 POINTS*

Answers

A = 10 cmB = 6 cm

C =                                                               ( not given in the figure )

D = 8 cm

area of triangular prism:

( perimeter x length ) + base x height

( 6 + 8 + 10 ) * 2 + 8 * 6

96 cm²

Answer:

Step-by-step explanation:

A = 10 cm

B = 8 cm    {base of the triangle}

C =  2 cm

D = 6 cm   {height of the triangle}

Area of the triangular prism = (A + B + D)*C + base * height

                                               = (10 + 8 + 6)*2 + 8*6

                                               = 24*2 + 48

                                               = 48 + 48

                                               = 96 cm²

The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p?

Answers

The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p

Answer:

p = 43

Step-by-step explanation:

(x²²)(x⁷)³

first, multiply the power of 7 times the power of 3

(x⁷)³ = x⁷ ° ³ = x²¹

second, add the power of (x²²) with (x²¹)

x²² ⁺ ²¹ = x⁴³

therefore, the value of p = 43

I hope this helps!

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