2a + 3b and 6x +10y =40
what is the value of 6a+9b what is the value of 3x +5y​

Answers

Answer 1

2a + 3b = 7
-> 3(2a + 3b) = 21
6x + 10y = 40
-> (6x+10y)/2 = 20

Therefore, 6a + 9b = 21 ; 3x + 5y = 20.

Answer 2

The value of 6a + 9b is 21 and the value of 3x + 5y is 20

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equations are,

2a + 3b = 7                  (1)

and 6x + 10y = 40        (2)

To find the value of 6a + 9b,

Multiply equation (1) with 3,

3(2a + 3b) = 7 x 3

6a + 9b = 21

To find the vale of 3x + 5y,

Divide equation (2) by 2,

1/2(6x + 10y) = 40/2

3x + 5y = 20

The required values are 21 and 20.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2


Related Questions

Write a quadratic function in standard form containing the point (-7, 5) and
vertex (1, 9)

Answers

The quadratic function in the standard form containing the point (-7, 5) and vertex (1, 9) is y = (-1/16)(x - 1)² + 9.

How is a quadratic function formed with a vertex and a point?

The vertex form of a quadratic function with vertex (h, k) is written as

y = a(x - h)² + k, where (x, y) denotes a point on the parabola. Real integers a, h, and k are also included.

Given:

Point (x, y) = (-7, 5)  

Vertex (h,k) = (1, 9)

The general equation of quadratic function in vertex form is:

 y = a(x - h)² + k

To solve for a, substitute the given point (x,y) = (-7,5) into the equation.

5 = a(-7 - 1)² + 9

a(-8)² = -4

a = -4 /64

a = -1/16

Therefore, the required quadratic function is,

 y = (-1/16)(x - 1)² + 9

To learn more about quadratic function visit:

https://brainly.com/question/22526994

#SPJ9

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

Answer:

d

Step-by-step explanation:

Pythagorean theorem : a2 + b2 = c2

Here, ‘a’ is the vertical side i.e. wall

‘b’ is the base side i.e. bottom = 5 m

‘c’ is the hypotenuse i.e. the ladder = 10 m

If b = 5 m, c = 10 m

Then, a2 = c2 - b2 = (10 x 10) - (5 x 5) = 75

a = √75 = 8.66 m

The the top of the ladder is at 8.66 m.

is the algebraic expression t^2/t^4 equivalent to t^2?

Answers

Answer: no

Step-by-step explanation:

t^2/t^4  is 1/t^2 which is not t^2

Hey need help with this problem! Will give brainliest if right

Answers

Answer: 9,800

Step-by-step explanation:

She should save 9,800 yearly.

2/10 = 20/100 ; 20%

20% = 0.2

0.2 x 49,000

(which is 20% of 49,000)

= $9,800

56x raise to power minos 4 divided by 14x raise to power minos 8​

Answers

56x raise to power minus 4 divided by 14x raise to power minus 8​ has its answer calculated as 4[tex]x^2[/tex] by solving through formulas of exponents and powers.

What are exponents?

A mark placed exactly or right above a mathematical equation or a numeral that helps to denote the action of raising to a power of something.

Exponent is also defined as one of the methods of expressing many large numbers in terms of powers. This means that exponent refers to how many times a single number or an equation is multiplied by itself.

The statement 56x raise to power minus 4 divided by 14x raise to power minus 8​ can be simplified in equational terms as

[tex]\frac{56x^-{4}}{14x^{-8}}[/tex]

which can be further simplified as [tex]4x^{4}[/tex]

What does the term Exponentiation stand for?

Exponentiation is a type of mathematical operation that can be written as bⁿ, involving two numbers. The base b and then the exponent or power n is included in it and pronounced as "b to the power n".

To know more about exponents, visit:

https://brainly.com/question/3009444

#SPJ9

A leaky faucet drips 1/4 fluid ounce of water every 20 minutes. How many Gallons of water will leak from this faucet in 1 year? (Round to the nearest gal.)​

Answers

Answer:

51

Step-by-step explanation:

I may have made a mistake somewhere along the way but if not then it is 51 gallons.

The way i did this was to multiply 20 minutes by 3 to equal an hour, then multiply that by 24 to equal a day, then multiply that by 365 to equal a year.

That gives you the numbers you need to multiply the ounce by. So first multiply 1/4 by 3 to get 3/4. Next you multiply 3/4 by 24 to get 72/4 or 18. Then you multiply 18 by 365 to get 6570 ounces in a year. Finally you translate that to gallons and you get 51.328125, which rounds down to 51.

Alsooo, i wouldnt mind a good old brainliest if im correct :)

I’m pretty sure you do 1/4 x 20/1, which it 5. Then convert it into gallons

Ruby has $0.86 worth of pennies and nickels. She has 4 more nickels than pennies. Determine the number of pennies and the number of nickels that Ruby has.

Answers

86 = 1p + 5n

n = p + 4

86 = 1p + 5(p + 4)

86 = 1p + 5p + 20

66 = 6p; p = 11

86 = 1(11) + 5n

86 = 11 + 5n

75 = 5n; 15 = n

11 pennies, 15 nickels

11(1) + 15(15) = 11 + 75 = 86

7-(-4) is__units from 7 in the ____ direction

Answers

7-(-4) is 4 units from 7 in the negative direction. See the explanation and the linear scale attached.

What direction is being referred to in the above Question?

The direction being referred to is the direction of the number on a numerical scale or Linear Scale.

In the attached linear scale, we can see that the arrow stops at 11. This is arrived at by expanding the bracket:

7 - (-4)

the subtraction signs cancel out each other creating a positive sign. Hence we have:

7 + 4

= 11.

Hence, 11 is 4 units away from 7 in the negative direction. That is going toward zero is negative or a reduction hence, to get to 7 you need to go toward the negative section of the scale.

Learn more about number units:
https://brainly.com/question/26770986
#SPJ1

Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup
of yogurt. Using this ratio, how much cinnamon does Sandeep need if he uses 3 cups of yogurt?

Answers

2 teaspoon of cinnamon need if he uses 3 cups of yogurt

What is ratio ?

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organizations is shown by the part-to-part ratio. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio describes how one group compares to another. For instance, five people enjoy reading books out of every ten persons. Since the ratio of the component to the total is 5:10, 5 out of every 10 persons enjoy reading.

Given that :Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup

of yogurt.

[tex]0.5 : 0.75 = x : 3[/tex]

x = 2

2 teaspoon of cinnamon need if he uses 3 cups of yogurt

To learn more about ratio visit :

brainly.com/question/13419413
#SPJ9

Find an equation in point-slope form for the line having the slope m = -4 and containing the point (7,2)

Answers

Answer: y=-4x+30

Step-by-step explanation: put into point slope form y-y1=m(x-x1). M is out slope with the given point (7,2) 7 is out x and 2 is our y. Give us y-2=-4(x-7) once done distribute yo get y-2=-4x+28. Add the 2 from the left to the right. to get y=-4x+30

convert -20°C to degrees Fahrenheit using the formula F = 9/5C + 32. (F=9/5(-20)+32)

Answers

Answer:

- 4° F

Step-by-step explanation:

substitute C = - 20 into the formula

F = ([tex]\frac{9}{5}[/tex] × - 20 ) + 32 = (9 × - 4) + 32 = - 36 + 32 = - 4° F

are 5x^2 and -9x^2 like terms

true or false

Answers

Answer:

true

Step-by-step explanation:

when unlike terms are added, they cannot be "combined".

examples of unlike terms: [tex]2x +3[/tex] and [tex]5y - 2[/tex] and [tex]6y^2 - 4x^2[/tex]

[tex]5x^2 and -9x^2[/tex] are like terms because they both contain the variable x and have an exponent of 2.

Q= (R-M) over 2
R-M/2
R= 21
M= 15
The image best explains, I cannot math and math cannot me, please I need help.

Answers

Answer:

3

Step-by-step explanation:

(21-15)/2

6/2

= 3

......

Answer:

3

Step-by-step explanation:

substitute the numbers into the equation Q= (21-15)/2

you then start with the numbers within the parathesis: 21 - 15 = 6

then divide it by 2: 6/2 = 3

answer: Q = 3

Which scale is equivalent to 1 cm to 1 km?

1 to 1,000

10,000 to 1

1 to 100,000

100,000 to 1

1 to 1,000,000

Answers

Answer:

1 to 100,000

Step-by-step explanation:

There are 100,000 cm in a km

pls help ASAP
./././././././././././././././././././././././././././././././././././././././././././././././././././././././

Answers

Answer: the second one

Step-by-step explanation:

commutative is like

A+b=b+A

So 4+(-6)=-6+4

Which is like 4-6=-6+4

reciprocal of b-1/b

Answers

FOR A RECIPROCAL OF FRACTION WE SWAP POSITIONS. WHATEVER WAS IN THE NUMERATOR BECOMES THE DENOMINATOR AND WHAT WAS IN THE DENOMINATOR BECOMES THE NUMERATOR.

THIS MEANS THAT AS A RESULTS WE HAVE

[tex] \frac{b}{b - 1} [/tex]

ATTACHED IS THE SOLUTION.

katie is studying the polynomial and determines the polynomial has three real roots. do you agree or disagree with katie's statement? explain your reasoning.

Answers

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots.  you  disagree with Katies statement because the function has four real roots

Katie is studying the polynomial  and determines the polynomial has three real roots. Do you agree or disagree with Katie's statement? Explain your reasoning.

the complete question is

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots. Do you agree or disagree with Katies statement? Explain your reasoning.

Write properties of function:

x intercept/zero: [tex]x_{1}[/tex] = 3/2 ; [tex]x_{2}[/tex] = 4 ; [tex]x_{3}[/tex] = -[tex]\sqrt{3}[/tex] ;  [tex]x_{4}[/tex] = [tex]\sqrt{3}[/tex]

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots.  you  disagree with Katies statement because the function has four real roots

learn more about of roots here

https://brainly.com/question/16932620

#SPJ4

Evaluate the exponential expression: (y 3/xy 2)²=_______, if x = 2 and y = 6.

1. 9
2. 36/144
3. 6/144
4. 15

Answers

The value of the exponential expressions is 9. Option 1

What is an algebraic expressions?

An algebraic expression can be defined as an expression that is composed of coefficients, variables, terms, constants, and also factors.

These expressions may also consist of arithmetic or mathematical operations such as;

ParenthesesMultiplicationDivisionSubtractionBracketAddition, etc

Given the exponential expression as;

(y³/xy²)²

For when x = 2 and y = 6

We have to substitute the value into the expression, we have;

{(6³/(2)(6)²)}

Find the cube and square of the values, we have;

{ 216/2(36) }²

expand the bracket

{ 216/72}²

Find the quotient

{3}²

Find the square

9

Hence, the value is 9

Learn more about exponential expressions here:

https://brainly.com/question/8844911

#SPJ1

What’s the relationship between the number of
$4 lunches
you buy with a $100 school
lunch card and the money remaining on
the card

Answers

The relationship will be a solid line .

How to find the relationship between the given amounts?

Given:

The amount of one lunch =$4

The amount of the school lunch card=$100

Let, the amount remaining on the card= b

Let the number of lunches to buy  = a

The equation is given by,

b = 100 - 4a

When 1 lunch is bought ,a= 1 ;

b= 100 - 4(1) = 96

When 2 lunches are bought ,a= 2;

b= 100 - 4 (2)= 92

When 3 lunches are bought ,a= 3;

b= 100 - 4 (3)= 88

When 4 lunches are bought ,a= 4;

b= 100 - 4 (4)= 84

Since ,the decrease is gradual and same, the relationship will be a solid line.

The complete question is:

What is the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. Is the relationship a solid line or a set on unconnected points?

To learn more about solid lines, refer:

https://brainly.com/question/14538791

#SPJ13

Find the zeros of the functions:

f(x)=3x+7

f(x)=1/5x-7

Answers

Answer: x= -5

Step-by-step explanation: Zero is x

f(-5)= -15 +7= -8

f(-5)= -1 - 7 = -8

Answer is -8

Please! Help me find the range of this graph as an inequality :((

Answers

Answer:  [tex]\text{y} \ge 2[/tex]

Reason:

The lowest point on the graph occurs when y = 2. This is a closed endpoint so it's included with the graph. So either y = 2 or y > 2, both of which combine to get the answer shown above.

Activity 2: Which are not quadratic equations? How do you describe quadratic equation?

Answers

Answer:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. 

How many was the phone before the discounted price?

Answers

Answer: depends how many you have with you

Step-by-step explanation:

does not matter how many you have

The weather forecast for the weekend is a 35% chance of rain on Saturday and a 65% chance of rain on Sunday. Your friend says that means there is a 100% chance of rain this weekend. What error did your friend make?

Answers

Answer:

Because these probabilities are independent, the friend was supposed to multiply them, not add them. So the probability of rain this weekend is

.35 × .65, or .2275, meaning that the probability of rain this weekend is 22.75%

Find x ifwrewrijqeowehj

Answers

3x+x+(x+12)=152

<AOD =<COB(VERTICAL OPPOSITE ANGLES)

[tex]5x+12=152\\5x=152-12\\5x=140\\\frac{5x}{5} =\frac{140}{5} \\x=28[/tex]

x=28°

be reminded that <COB IS MADE OF ALOT OF BRANCH ANGLES THAT WE HAD TO ADD TO GET IT

i.e <COE,<EOF AND <FOB

Complete the sentence below.
35 280 is ten times bigger than

Answers

Answer:

3528

Step-by-step explanation:

35280 divided by 10 is 3528. To check your work, multiply 3528 by 10. The answer is 35280.

Hope this helps! :)

3528x10=35280 (35280 is ten times bigger than 3528)

Consider the function f(x) = x3 − 6x2 + 11x − 6.
PART A: One factor of the function f(x) = x3 − 6x2 + 11x − 6 is (x − 3). Use that factor to divide and further factor the polynomial and find the x-intercepts without using technology.

PART B: Describe key characteristics of the graph of the function such as the number of x-intercepts, the y-intercept, and the end behavior without using technology. Explain with complete sentences using components of the function to support your answer.

Answers

For the function x³ - 6x² + 11x - 6, we have that:

a) The x-intercepts are: x = 1, x = 2, x = 3.

b) The y-intercept is of y = -6, while the end behavior is that it decreases to the left and increases to the right.

What are the x-intercepts of the function?

The function is given as follows:

f(x) =  x³ - 6x² + 11x - 6

x - 3 is a factor of the function, meaning that x = 3 is a x-intercept and the function can be written as follows:

x³ - 6x² + 11x - 6 = (x - 3)(ax² + bx + c)

Then we have to build a system of equations to find the coefficients as follows:

x³ - 6x² + 11x - 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c.

Then the coefficients are given as follows:

a = 1.b - 3a = -6 -> b = -3.-c = -6 -> c = 2.

Then the factor is given by:

x² - 3x + 2.

Hence the other intercepts of the polynomial are found when:

x² - 3x + 2 = 0

(x - 2)(x - 1) = 0.

x - 2 = 0 -> x = 2.

x - 1 = 0 -> x = 1.

What is the y-intercept and the end behavior?

The y-intercept is the value of f(x) when x = 0, that is, f(0), hence:

f(0) = 0³ - 6(0)² + 11(0) - 6 = -6.

For the end behavior, we need to find the limits as x goes to infinity, hence:

Positive infinity = (∞)³ = ∞. -> increases to right.Negative infinity = (-∞)³ = -∞. -> decreases to left.

When the limit goes to infinity, we consider only the term with the highest exponent of the polynomial.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

subtract the quotiet of 70 divided by 2 from 60

Answers

The algebraic representation of the expression "subtract the quotiet of 70 divided by 2 from 60" is 60 - 70/2" which gives the result 25

Algebraic representation of expression

Quotient means the result obtained from the division of an expressionThe divisor is the expression or term used to divide the expressionThe dividend is the expression being divided by another expression.

the quotiet of 70 divided by 2

= 70/2

subtract the quotiet of 70 divided by 2 from 60

= 60 - 70/2

= 60 - 35

= 25

In conclusion, the result of the expression "subtract the quotiet of 70 divided by 2 from 60" is 25

Read more on algebra:

https://brainly.com/question/4344214

#SPJ1

what is 3 +7x(2+9x) simplify as a expression

Answers

the answer as a expression would be 3+77x

At a health camp the number of children was three times the number of men.the number of men was 240 less than the number of women. if the number of children x give an equation that can be used to get the number of men if the total number of people who attended was 2400

Answers

The equation that can be used to get the number of men if the total number of people who attended was 2400 is x + 3x + x + 240 = 2400.

How to illustrate the information?

It should be noted that from the information given, in the health camp the number of children was three times the number of men and the number of men was 240 less than the number of women.

Number of men = x

Number of children = 3x

Number of women = x + 240

Total number of people = 2400

The appropriate equation will be:

x + 3x + x + 240 = 2400

5x + 240 = 2400

Collect like terms

5x = 2400 - 240

5x = 2160

Divide

x = 2160 / 5

x =432

Therefore, the total number of men is 432 men.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Other Questions
(-35) x 6 =? i need help! ).Which event is the inciting incident that most directly establishes the conflict of "TheLast Leaf"?O A. Pneumonia becomes an epidemic during November.OB. Johnsy decides she will die when the last leaf falls from the vine.C. The last leaf remains attached to the vine despite the storm.OD. The old German artist, Mr. Behrman, dies of pneumonia. two cards are drawn without replacement from a standard deck of 52 playing cards. what is the probability of choosing a diamond and then, without replacement, a black card? express your answer as a fraction or a decimal number rounded to four decimal places. 2000 kg car at rest has a net force of 500 N being applied to the left. If the force is appliedfor 10 sec, what is the final velocity of the car? Give crown and 10 points please please i need for now can you simplify 27/7 1.A survey of 36 students was conducted to find out how many students enjoy playing volleyball, and 17 said they did. If 648 students were surveyed, how many would say they enjoy playing volleyball? I need help!!! offering brain list assume the following information: milling department materials conversion total cost of beginning work in process inventory $ 10,000 $ 15,000 $ 25,000 costs added during the period 291,600 385,000 676,600 total cost $ 301,600 $ 400,000 $ 701,600 assume the equivalent units of production for materials and conversion are 5,200 units and 5,000 units, respectively, using the weighted-average method. if 4,620 units were completed and transferred to the next department, then what is the total cost of the ending work in process inventory in the milling department? Felicia believes strongly in buying from minority-owned businesses whenever possible. Which term best describes the motivation for her purchasing behavior?. Mi hermana mayorde los muebles en la sala y el comedor. Marta compra la comida yMis hermanas y yo hacemos las tareas domsticas en nuestraropa y la pone en los armarios. Elenaen la cocina. A m no me gusta trabajar dentro de la casa. Por eso yo limpioorganizael Jardin. Mis hermanas y yo siempre ayudamos a mantener la casa limpia y organizada. Isopropyl alcohol is mixed with water to produce a solution that is 70% alcohol by volume. How many mL of each compound is present in 785 mL of this solution? r(x) = 8/9x - 17; r(x) = 15 What meaning does setting help to convey in The Sound and the Fury? Vitor experiences sadness and hopelessness during the shorter winter days. Which treatment might be prescribed? Light exposure therapy Aversion therapy Psychosurgery Electroconvulsive therapy please help me out with this adams, inc. has sales of $100,000 with a contribution margin of $60,000 and net income of $20,000. baron, inc. has sales of $110,000 with a contribution margin of $44,000 and net income of $22,000. thus, the degree of operating leverage is for adams, inc. and for baron, inc. with top5 as (select top 5 vendorid, avg(invoicetotal) as avginvoice from invoices group by vendorid order by avginvoice desc) select invoices.vendorid, max(invoices.invoicetotal) as largestinvoice from invoices join top5 on invoices.vendorid 2. we want to estimate the mean of a population. a random sample of subjects is selected and the sample mean is computed. what is the probability that the sample mean is within 3 units of the true mean if the standard error is 1.8? in animals, fungi, and plants, bulk flow is always an active and atp-expensive process. this is best evidenced by the presence of a heartbeat in order for bulk flow to occur in animals.