if a:b=3:4 find the value of 15a+9b:16a+5b​

Answers

Answer 1

Answer :

81 : 68

Step-by-step explanation:

[tex] {\longrightarrow \: \sf \: Let \: \: a : b\: = 3: 4 = \dfrac{a}{b} \: = \: \dfrac{3}{4} = k}[/tex]

Therefore,

[tex] \dashrightarrow \qquad \sf \: a = 3k[/tex]

[tex] \dashrightarrow \qquad \sf \: b = 4k[/tex]

Now, Substituting the values :

[tex]\longrightarrow \qquad \sf \: 15a+9b:16a+5b[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{15(3k)+9(4k)}{16(3k)+5(4k)}[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{45k+36k}{48k+20k}[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{81k}{68k}[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{81 \cancel{k}}{68 \cancel{k}}[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{81}{68}[/tex]

[tex]\longrightarrow \qquad \bf \: {81} : {68}[/tex]

Therefore ,

[tex]{ \pmb{ \sf{\longrightarrow \qquad \: 15a+9b:16a+5b = 81 : 68}}}[/tex]


Related Questions

FREE BRAINLY HURRYA school fund raising event sold a total of 199 tickets and generated a total revenue of $744.30. There are two types of tickets: adult tickets and child tickets. Each adult ticket costs $4.20, and each child ticket costs $3.45. Write and solve a system of equations to answer the following questions.
____ adult tickets and ____child tickets were sold.

Answers

Answer:Adult tickets sold is the variable a.Child tickets sold is the variable c.a + c = 1756.40a + 1.35c = 564.50The first equation can be rewritten asc = 175 - aReplace c in the second equation with what it is equal to6.40a + 1.35(175 - a) = 564.50Apply the distributive property6.40a + 236.25 - 1.35a = 564.50Combine like terms5.05a + 236.25 = 564.55.05a = 328.25a = 65c = 175 -65c = 110The sold 65 adult tickets and 110 child tickets

Step-by-step explanation:

A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. the dealer used the data from the frequency table to create this conditional relative frequency table by column. a 4-column table with 3 rows titled car inventory. the first column has no label with entries current model year, previous model year, total. the second column is labeled coupe with entries 0.9, 0.1, 1.0. the third column is labeled sedan with entries 0.75, 0.25, 1.0. the fourth column is labeled nearly equal 0.79 , nearly equal to 0.21, 1.0. which is the best description of the 0.1 in the table? given that a car is a coupe, there is a 10% chance it is from the previous model year. given that a car is from the previous model year, there is a 10% chance that it is a coupe. there is a 10% chance that the car is from the previous model year. there is a 10% chance that the car is a coupe.

Answers

A car is from the previous model year, there is a 10% chance that it is a coupe. Then the correct option is A.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A car dealer organizes the inventory of a specific model of a car into a frequency table comparing the type of car and the model year.

The dealer used the data from the frequency table to create this conditional relative frequency table by column.

A car is from the previous model year, there is a 10% chance that it is a coupe.

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

A.) Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Step-by-step explanation:

The person above me is correcttt~

edge2022

good luck! :)

~nxmbus

2sinx-1= 0


Pls help me solve

Answers

Answer:

x = 30°

Step-by-step explanation:

2sinx - 1 = 0

2sinx = 1

sinx = 1/2

x = 30°

Answer:

x = nπ + ( -1 )π π/6, where n is the integer

Step-by-step explanation:

The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 35 0. 6368 0. 45 0. 6736 1. 00 0. 8413 1. 26 0. 8961 1. 35 0. 9115 1. 36 0. 9131 9% 24% 59% 91%.

Answers

The probability  of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%

What will be the probability?

we know that the formula for probability is given by

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

where,

Z = Z score,

X = raw score,

μ = mean,

σ = standard deviation,

The probability  of the students to be selected randomly between 350 and 550 will be given as

[tex]=P(350 < X < 550)[/tex]

[tex]=P(350-500 < X-500 < 550-500)[/tex]

[tex]=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}[/tex]

[tex]=P(-1.36 < Z < 0.45)[/tex]

[tex]=P(Z-1.36)-P(Z-0.45)[/tex]

[tex]=(0.9131-0.6736)[/tex]

[tex]=0.2395[/tex]

Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%

To learn more about probability follow

https://brainly.com/question/24756209

find h(-8) given the function h(x)=| 2x+7 |

Answers

Answer:

9

Step-by-step explanation:

h(x)=| 2x+7|

h(-8)= |2(-8)+7|

= |-16+7|

=|-9|

=9

what are some ways to write 4 times x

Answers

Answer:

Some ways to write 4 times x are: 4x, 4*x

Use the circle below to answer the question.
R
680
с
S
The circle is centered at point C. Line segment PQ is parallel to SR.
What is the measure of angle QPS?

Answers

Answer:

m∠QPS = 112

Step-by-step explanation:

Shape PQRS is a cyclic quadrilateral as every vertex of the quadrilateral touches the circumference of the circle.

The opposite angles in a cyclic quadrilateral add up to 180°.

⇒ m∠QPS + m∠QRS = 180°

⇒ m∠QPS + 68° = 180°

⇒ m∠QPS = 180° - 68°

⇒ m∠QPS = 112°

A bank offers a savings account that earns 0.5% interest each month.
Write an equation for the balance of the savings account after Y months.
Given an initial deposit of 500$ what will the account balance be after 15 months.

Answers

Answer

Step-by-step explanation:

This is exponential growth, so we would use the following equation

y=a(b)^x

500(1.005)^15

1. Initial amount is $500, since that's what we started with.

2. Add the following percentage by 100%

100%+0.5%= 1.005

3. We need to find the account balance after 15 months so raise it to the 15th power.

y= 500(1.005)^15

The balance after 15 months will be $538.84.

bye~~

What is the image of (x,y) after a translation of 3 units left and 7 units down?

Answers

Answer:

[tex](x + 3, y - 7)[/tex]

Step-by-step explanation:

Given

[tex]Function = (x,y)[/tex]

Translation:

[tex]Left = 3\ units[/tex]

[tex]Down = 7\ units[/tex]

Required

Determine the image of the function

Apply the first translation

[tex]Left = 3\ units[/tex]

When function (x,y) is 3 units translated left, we add the units to the x value.

The new function becomes:

[tex](x,y) -> (x + 3, y)[/tex]

Apply the second translation

[tex]Down = 7\ units[/tex]

We subtract 7 units from the y value

[tex](x,y) -> (x + 3, y)[/tex]

becomes:

[tex](x + 3, y) ->(x + 3, y - 7)[/tex]

Hence:

The image of the function is:

[tex](x + 3, y - 7)[/tex]

Find the area of the circle with the diameter of 16

Answers

Answer:

64 [pi]

Step-by-step explanation:

pi r²=pi (8) 2=64 pi [use the symbol]

hope this helps! :)

Answer:

803.84

Step-by-step explanation:

A=3.14r^2

A=3.14x16^2

16x16=256

256x3.14=803.84

Hope this helps : )

what is the equation of the line that passes through the point (-3,7) and has a slope of 1/3

Answers

Answer:

y = 1/3 x + 8.

or in standard form:

x - 3y = -24.

Step-by-step explanation:

To answer this we use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Here we have m = 1/3 and (x1, y1) = (-3, 7), so:

y - 7 = 1/3(x - (-3))

y - 7 = 1/3( x + 3)

y - 7 = 1/3 x + 1

y = 1/3 x + 8 .

This is the slope-intercept form of the equation.

Converting to standard form, we first multiply by 3:-

3y = x + 24

- x + 3y = 24

x - 3y = -24.

⚠️⚠️ HELP IMAGE IS QUESTION !! MARKING BRAINLIEST,, if you could explain ⚠️⚠️

Answers

Answer:

C

Step-by-step explanation:

it’s the only one that is a line

Answer:

c because the line is straight

Step-by-step explanation:

in order for a line on a graph to be linear it must have the same rise over run so the line would have to be strait

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!! WITH WORK PLEASE!!!

Answers

Answer:

14,10

Step-by-step explanation:

8=(x+2)/2

16=x+2

x=14

4=(y-2)/2

8=y-2

y=10

Answer:

Step-by-step explanation:

A(5, -6) is called an ?

Answers

Is call an property numbers

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10 mg of caffeine?

Answers

Answer:

10 hours

Step-by-step explanation:

how many bases does a rectangular pyramid have?​

Answers

Answer:

it has a 4 sided,1  base

Step-by-step explanation:

Answer:

One base, look at the image I uploaded;

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 2 5 8 11 14
b) 9 11 13 15 17

Answers

Answer:

a) [tex]a_n=3n-1[/tex]

b) [tex]a_n=2n+7[/tex]

Step-by-step explanation:

a)  From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:

14 - 11 = 3

11 - 8 = 3

8 - 5 = 3

5 - 2 = 3

(so the common difference = 3)

General equation of arithmetic sequence:  [tex]a_n=a+(n-1)d[/tex]

(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)

Given:

[tex]a=2[/tex][tex]d=3[/tex]

[tex]\implies a_n=2+(n-1)3[/tex]

[tex]\implies a_n=2+3n-3[/tex]

[tex]\implies a_n=3n-1[/tex]

b)  From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:

17 - 15 = 2

15 - 13 = 2

13 - 11 = 2

11 - 9 = 2

(so the common difference = 2)

General equation of arithmetic sequence:  [tex]a_n=a+(n-1)d[/tex]

(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)

Given:

[tex]a=9[/tex][tex]d=2[/tex]

[tex]\implies a_n=9+(n-1)2[/tex]

[tex]\implies a_n=9+2n-2[/tex]

[tex]\implies a_n=2n+7[/tex]

What is the first step needed to solve
() -6=
IN
2
5
X-6= -16?
O a
Subtract 16 from both sides
Ob
Add 6 to both sides
Ос
Divide both sides by 5
O d
Multiply both sides by 2

Answers

hello there the answer would be add both sides by 6 hope this helps :)

simplify 2 1/3 + 1 3/10 - 3 2/15



please help me quick i will mark you as brainliest and this question also gives 18 points

Answers

Answer:

7

Step-by-step explanation:

2 x 1/3 + 1 x 3/10 - 3 x 2/15

Multiplying each Side by the LCM which is 30

u will get 10 (2x1) + 3 (1x3) - 2 (3x2)

10(2) + 3(3) - 2(6)

20 + 9 -12

19 -12

7

how do you subtract 8.43x^3 - 2.7x10^2

Answers

Answer:

Step-by-step explanation:

I tried this on a calculator but you could also do it on paper hope this helped!


Please help me solve 5 and 4!

Answers

4. is A
5. i dunno sorry but 4 is A :)

6) Andy is going kyacking. He has $341 to spend on parking and paddles. Parking costs $30 and paddles cost $45.20 per person. Determine how many people can go kyacking

Answers

Answer:

6 people can go

Step-by-step explanation:

341-30=311

311-45.2x=0

45.2x=311

x=6.88

6.88 people can go but .88 of a person doesnt exist

Ameezy has four times as many water bottles
as Beetle does. If the two of them have a
combined total of sixty bottles, how many
more bottles does Ameezy have than Beetle?

Answers

Answer:

30

Step-by-step explanation:

15 x 4 = 60, which means that Beetle has 15 bottles of water and that Ameezy has bottles.  45 - 15 = 30.

Hope this helps :)

Answer:

36 bottles.

Step-by-step explanation:

If you wrote them out, like 1 over 4, 2 over 8, and added up their totals at the bottom, you would eventually reach 60. The last column has 12 over 48, so we subtract 12 from 48, which gives us 36. So the answer is 36 bottles.

Hope this helped!

what is the perimeter of rectangle JKLM

Answers

Find lengths by reasoning shortcut

JK=6-1=5unitsJM=6-3=3units

Its a rectangle

Perimeter:-

2(JK+JM)=2(5+3)=2(8)=16units

Answer:

Perimeter = distance around a two-dimensional shape

⇒ Perimeter of a rectangle = (2 × width) + (2 × length)

From inspection of the diagram:

width = 3 unitslengths = 5 units

⇒ Perimeter of the rectangle = (2 × 3) + (2 × 5)

                                                 = 6 + 10

                                                 = 16 units

A line passes through the points
(4,3) and (9, -7).
What is the equation for the line in
slope-intercept form?

Answers

Answer:

y=-2x+7

enter the point into point slope form to find the slope and then use one of the points in point slope form  and rearrange it to have y by itself

Number 5 please I’m having trouble

Answers

Answer:

B

Step-by-step explanation:

you would just divide 37 from 8659

Please evaluate this equation, and explain how you got the answer.

Answers

Answer:

3 = f

Step-by-step explanation:

3(6 - f) - 4 = 3f - 4

Distribute within Parenthesis

18 - 3f - 4 = 3f - 4

Combine like terms

14 - 3f = 3f - 4

Add 3f on both sides of the equation

14 = 6f - 4

Add 4 on both sides of the equation

18 = 6f

Divide by 6 on both sides of the equaiton to get your answer of

3 = f

Hope this helps :)

Mr. M traveled 5 miles fewer than twice the number of miles on Tuesday as Monday. On Wednesday he traveled 40 more than the square of the number of miles traveled Monday. If the total miles traveled was 1,024, write an equation to represent the total miles traveled on Monday, Tuesday and Wednesday.

Answers

Answer:

x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)

Step-by-step explanation:

Let x = number of miles traveled on Monday

Let y = number of miles traveled on Tuesday

Let z = number of miles traveled on Wednesday

Given:

Mr. M traveled 5 miles fewer than twice the number of miles on Tuesday as Monday

⇒ y = 2x - 5

Given:

On Wednesday he traveled 40 more than the square of the number of miles traveled Monday

⇒ z = x² + 40

Given:

Total miles traveled = 1024

⇒ x + y + z = 1024

Substitute  y = 2x - 5  and  z = x² + 40  into x + y + z = 1024:

⇒ x + 2x - 5 + x² + 40 = 1024

⇒ x² + 3x + 35 = 1024

⇒ x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)

Rebecca ran the width of a field, a distance of 60 yards. Then she ran the length of the field,
a distance of 80 yards. Finally, she ran diagonally across it to get back to her starting point.
How far did Rebecca run?

Answers

Answer:

170 yards

Step-by-step explanation:

First off we know that Rebecca ran 60 yards at first. Then she ran another distance of 80 yards. She then ran diagonally across to get back. If she ran diagonally back that means would have run 30 yards back which is half of the first distance she ran.
(representation of how she ran)

1st: Up along the width |

2nd: sideways along the length ----

3rd: diagonally back to the starting point /

This would form a triangle. The first distance he ran would be halved to show the amount that Rebecca ran diagonally, we will represent this with x.

Equation representation:
60 + 80 = 140 yards

x = 60 divided by 2
x = 30 yards

60 + 80 + 30 = 170 yards




Have a great rest of your day
#TheWizzer

Ellie deposited $650 into her savings account. She then saved $150 per month.the amount in Ellie’s savings account after t months

Answers

Answer:

$650+$150x

Step-by-step explanation:

Base number and 150 is added per month.

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