If a:b = 1:2 then find the value of (3a + b): (4a + 2b).​

Answers

Answer 1

Answer:

5:8

Step-by-step explanation:

By question it's given that ,

[tex]\implies a:b = 1:2 [/tex]

Let us suppose that the common ratio is x , therefore the Numbers ,

[tex]\implies a = 1x [/tex]

[tex]\implies b = 2x [/tex]

And we need to find the value of ,

[tex]\implies (3a + b): (4a + 2b ) \\\\\implies (3 * x + 2x ) : (4*x + 2*2x ) \\\\\implies (3x + 2x):(4x+4x)\\\\\implies 5x : 8x \\\\\implies 5:8 [/tex]

Hence the required answer is 5:8 .


Related Questions

When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after reaching this threshold, buyers are still eligible for 25% of the original $3000 credit. What tax credit would buyers receive if they purchased the vehicle at this time.

Answers

Answer:

$750

Step-by-step explanation:

so, in short, we need to calculate 25% of $3000.

that is the amount of tax credit a buyer would get then.

direct and fast answer :

25% means 1/4 of the overall amount.

$3000 / 4 = $750

now, a little bit longer to explain % calculations in general.

let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.

it always starts with the identification of 100%.

what is the full starting amount we are dealing with ? that is the 100%.

in our case $3000.

now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.

1% = $3000 / 100 = $30

to get said 27% we have to multiply this by 27

27% = 1% × 27 = $30 × 27 = $810

or in general

x% = 100% × x / 100

that also works for more complex questions. e.g. calculate 1.5%

1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45

and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.

and you need to transform the general equation above to get the missing piece of of the given information.

What is the prime factorization of 30?
O A. 2.2.3.5
O B. 5.6
O C. 3.10
O D. 2.3.5

Answers

D. 2.3.5 is the correct answer

The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 8 golfers play a round of 18 holes on his golf course and records their scores. Later that week, he has the same 8 golfers play a round of golf on his friend's course and records their scores again. The average difference in the scores (treated as the scores on his course - the scores on his friend's course) is 9.582 and the standard deviation of the differences is 15.9274. Calculate a 90% confidence interval to estimate the average difference in scores between the two courses.1) (13.73,-0.65).2) (-10.359,-4.021).3) (-9.259,-5.121).4) (-13.745,-0.635).5) (13.745, -0.635).

Answers

Answer:

The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).

Step-by-step explanation:

We have the standard deviation for the differences, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8946

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.8946\frac{15.9274}{\sqrt{8}} = 10.67[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.582 - 10.67 = -1.088

The upper end of the interval is the sample mean added to M. So it is 9.582 + 10.67 = 20.252

The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).

A strawberry farmer in Poteet knows that 1/8 of his strawberries are typically not fit to sell at the market (either because they went bad or are too unusually shaped). The farmer takes a random sample of 156 strawberries to inspect for the upcoming farmer's market and finds that 24 are unfit to sell. If he were to go back and pick 1000 more strawberries to inspect for the market, how would the standard deviation of the sample proportion be affected

Answers

Answer:

It would be smaller.

Step-by-step explanation:

Given that :

The number of the strawberries that are unfit for sell, x = 24

The total number of the strawberries to inspect, n = 156

Total number of the strawberries to be picked = 1000 strawberries

Therefore,

[tex]$\widehat p =\frac{x}{n}$[/tex]

  [tex]$=\frac{24}{156}$[/tex]

  = 0.1538

[tex]$\widehat p =\frac{x}{n}$[/tex]

  [tex]$=\frac{24}{1000}$[/tex]

  = 0.024

Therefore, the standard deviation of the sample proportion would be smaller.

7. Draw an equilateral triangle of side 6.5 cm and after locating its circumcentre. Draw its circumcircle. send it with image​

Answers

Answer:

Step-by-step explanation:

A circumcircle can be referred to as a circumscribed circle to a triangle. The steps to follow is stated below:

i. Since the triangle is equilateral, draw the triangle with sides 6.5 cm

ii. Bisect any of its two sides. The two bisecting lines would intersect at center, O, of the triangle.

iii. With the center and either radius  OA, OB or OC, draw a circumscribed circle to the triangle.

The construction is attached to this answer for clarifications.

7. Calculate the Perimeter AND Area of triangle
ABC
B
24 m
40 m
14 m
А
с
20 m
37 m

Answers

9514 1404 393

Answer:

perimeter: 121 marea: 399 m²

Step-by-step explanation:

The perimeter is the sum of the side lengths. Here, the bottom side is broken into two parts, so that side length is the sum of the parts. The area is given by the formula for the area of a triangle.

  perimeter = 24 m +40 m + 37 m + 20 m = 121 m

  area = 1/2bh = 1/2(20 m +37 m)(14 m) = 399 m²

If you multiply 0.47 × 3.2, then what is the answer?

Answers

Answer:

1.504

Step-by-step explanation:

0.47×100 = 47

3.2×100 = 320

47×320 = 15040

15040÷10000 = 1.504

Sam thinks of a 4 digit number. The digit in the one’s place is 3 less than the digit in the ten’s place and digit in thousand’s place is 5 less than the digit in hundred’s place. The value of the hundred’s place is 800. The digit in ten’s place is the greatest even number. What is the number Sam is thinking of?

Answers

9514 1404 393

Answer:

  3885

Step-by-step explanation:

The hundreds digit is 8, and the thousands digit is 5 less, so is 3.

The tens digit is 8 (the largest even digit), and the ones digit is 3 less, so is 5.

The number is ...

  3885

Tom's graduation picnic costs $4 for every attendee. At most how many attendees can there be if Tom budgets a total of $36 for his graduation picnic?

Answers

36 divided by $4 = 9

If Tom budgets $36 for his graduation, means that was how much that was earned.

what is the factors of p(x)=x^2+7√2x+4
PLEAE HELP! ​

Answers

Answer:

aasha here it is.

Step-by-step explanation:

3x−1)(2x+3)

    6x2+7x−3

=6x2+9x−2x−3

=3x(2x+3)−1(2x+3)

=(2x+3)(3x−1)

and hiii

Simplify 6/x^2−2x/x^2+3.

Answers

Answer:

3x2−2x+6/x2

Step-by-step explanation:

have a great day <33333

You and a friend were invited to a
party. You both were asked to bring
pizzas and chips. Your friend brought
three pizzas and four bags of chips
and spent $48.05. You brought five
pizzas and two bags of chips and
spent $67.25. What is the cost of
each? Answer should be in (Pizza, Chips)

Answers

Answer:

Pizza = 12.35

Chips = 2.75

Step-by-step explanation:

Let :

Pizza = x

chips = y

3x + 4y = 48.05 - - - (1)

5x + 2y = 67.25 - - - (2)

Multiply (1) by 5 and (2) by 3

15x + 20y = 240.25

15x + 6y = 201.75

Subtract :

20y - 6y = 240.25 - 201.75

14y = 38.50

y = 38.50/ 14

y = 2.75

Put y = 2.75 in (1)

3x + 4(2.75) = 48.05

3x + 11 = 48.05

3x = 48.05 - 11

3x = 37.05

x = 37.05 / 3

x = 12.35

Pizza = 12.35

Chips = 2.75

TIME REMAINING
49:02
What is the value of h?
The graph shows that f(x) = 3* is translated horizontally
and vertically to create the function g(x) = 3*- h + k.
81%
O-2
O-1
O 1
O 2
f(x)
001)
What is the answer to this photo

Answers

Answer:

h=2

Step-by-step explanation:

f is translated right 2 units (so h=2) and up 2 units (so k=2)

The value of h is 2.

What is Translation of Functions?

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

A function f(x) when translated horizontally leads to the function g(x) which is equal to g(x) = f(x ± k) where k is the units to which the function is translated.

And the vertical translation leads to the function g(x) = f(x) ± k, where k is the units to which the function is translated.

Here the original function is, f(x) = 3ˣ.

The point corresponding to x = 0 in f(x) is x = 2 in g(x).

That is (0, 1) is translated to (2, 3).

f(x) is horizontally translated to the right.

3ˣ translates to 3ˣ⁻².

Hence the value of h is 2.

Learn more about Translations here :

https://brainly.com/question/29198392

#SPJ7

Peter is 8 years younger than Alex. In 9 years time, the sum of their ages will be 76 . How old is Alex now?

Answers

Answer:

Peter is a-8 in 9 years, (a-8)+ 9+ a+ 9= 76

Answer:

P = 25

A = 33

Step-by-step explanation:

P + 8 = A

P + 9 + A + 9 = 76

P + A = 58

~~~~~~~~~~~~~~

P = 58 - A

P = 58 - P - 8

2 P = 50

P = 25

A = 33

.What is the value of x if 2(x+1) = 16 ?​

Answers

2(x +1) = 16

Use the distributive property ( multiply 2 by each term inside the parenthesis).

2x + 2 = 16

Subtract 2 from both sides:

2x = 14

Divide both sides by 2:

x = 7

Answer:

7

Step-by-step explanation:

2x+2=16

2x=16-2

x=16-2/2

x=14/2=7

Pls help! Answer the question

Answers

Answer:  74 inches

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

Explanation:

The given stem and leaf plot leads to this data set

68,68,69,69

71,72,77,77,78,78

80,81

I broke it up to have each tens digit get its own row. That way it's bit more readable.

Unfortunately, the term "average" in math is very vague. It could mean one of the following

meanmedianmode

To get the mean (specifically the arithmetic mean), we will add up the values and then divide by n = 12 because there are 12 values in the list above. Adding said values gets us

68+68+69+69+71+72+77+77+78+78+80+81 = 888

Dividing that over 12 then leads to 888/12 = 74

The arithmetic mean is 74.

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

To get the median, we would first sort the data set. Though that is already done for us. From here, we locate the middle-most item.

Since there are n = 12 items here, the middle item is between slot n/2 = 12/2 = 6 and slot 7

The values in slots 6 and 7 are 72 and 77 respectively. The midpoint of those values is (72+77)/2 = 149/2 = 74.5

The median is 74.5

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

The mode is possibly the quickest measure of center or average we can compute. We simply look at the value that shows up the most. In this case, the following values show up twice (which is the most frequent of all the values)

68697778

They are all tied for the title of "mode". It's possible to have more than one mode, so we say the mode is the set {68,69,77,78}.

Due to the nature of multiple modes, the mode is often not a good measure of center (but it's still a possibility; especially for categorical data).

In this case, I think the mean or median is a better measure of center.

Since there aren't any outliers, the mean is the best measure of center in this case. Luckily, the mean and median (74 and 74.5 respectively) are fairly close to one another.

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

To summarize everything, the term "average" is too vague and it could refer to the mean, median or mode. In this problem, the mean is possibly the best measure of center since there aren't any outliers and the mode isn't one single value.

We found the following:

mean = 74median = 74.5mode = {68,69,77,78}

It's very likely your teacher is wanting the mean.

Simplify this algebraic expression y-3 over 3+12

Answers

Answer:

(Y-3)/(3+12)

(Y-3)/(15)

Y-1/5

so the answer is

(Y-1)

Answer:

[tex]y - 3 \: over \: 3 + 12 \\ y - 3.3 + 12 \\ y - 3.3 + 12 = y + 8.7 \\ y - 33 + 12 \\ y + 8.7[/tex]

Carin opened a money market account with a deposit of $3,000. This account earns 2% simple interest annually. How many years will it take for her $3,000 deposit to earn $420 in interest, assuming she does not withdraw any of the money?

Answers

Answer: 7 years

2% = 0.02

3000·0.02=60.00

1 year simple interest = $60.00

420/60=7

7 years

is y=3x^2-x-1 a function

Answers

Answer: Yes it is a function.

This is because any x input leads to exactly one y output.

The graph passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the parabolic curve.

I need help with this problem.

Answers

Answer:

-4

Step-by-step explanation:

2t=-1-7

t=-8/2

t=-4

i am not sure also

A box contains 10 balls, of which 3 are red, 2 are yellow, and 5 are blue. Five balls are randomly selected with replacement. Calculate the probability that fewer than 2 of the selected balls are red.

Answers

Answer:

The required probability is 0.1.

Step-by-step explanation:

red balls = 3

yellow balls =  2

blue balls = 5

Selected balls = 5

Number of elemnets in sample space = 10 C 5 = 1260

Ways to choose 1 red ball and 4 other colours =  (3 C 1 ) x (7 C 4) = 105

Ways to choose 5 balls of other colours = 7 C 5 = 21

So, the probability is

[tex]\frac{105}{1260} + \frac {21}{1260}\\\\\frac{126}{1260}=0.1[/tex]  

Celia was a contestant on Jeopardy. At the
beginning of the round her score was -40.
Celia's score at the end of the round was -
35. How many points did Celia score (or
lose) during the round?

Answers

She scored 5 points during the round! Mark me as brainliest! :)

Answer:

75

Step-by-step explanation:

She is in the negatives right now so add 40 to get Celicia points equal to 0. Then add an extra 35 points (which is what she ended with). Overall, she gained 75 points to end with 35.

calculate the value of X in the diagram​

Answers

Answer:

[tex]EA = \frac{21 \times 15}{7} = 45 \\ { \tt{ \frac{21}{7} = \frac{x}{45} }} \\ x = 135[/tex]

For each of the following variables, identify the type of variable (categorical vs. numeric). (1) Temperature (in Fahrenheit) of an office building (11) Traffic congestion (e.g. light, medium, heavy)
1) (1) Numeric, and (II) Categorical
2) (1) Numeric, and (II) Numeric
3) (1) Categorical, and (II) Numeric
4) There is no correct match.
5) (1) Categorical, and (11) Categorical

Answers

Answer:

(a) Temperature: Numerical

(b) Traffic congestion: Categorical

Step-by-step explanation:

Required

Determine the variable type

(a) Temperature

Temperatures are measured in numeric values e.g. 22 degree Fahrenheit, etc.

Hence, the variable is numerical

(b) Traffic congestion

From the question, we understand that the traffic congestion are divided into three categories i.e. light, medium....

Hence, the variable is categorical

My daughter had a quiz today and the 3 questions did not make sense to me. Can anyone decifer how you would solve for the variable on these? I am stumped!!

1) In 10 years, Sara will be 81 older than she is now. How old is Sara now?

2) In 8 years, Sara will be 49 years older than she is now. How old is Sara now?

3) In 11 years, Bob will be 100 years than he is now. How old is Bob now?

Answers

Answer:

1 71years

Step-by-step explanation:

x+10=81

x=71

2. x+8=49

x=41

3. x+11=100

x=99

9. What is the value of x if the quadrilateral is a rhombus? 15 5x 4x+3​

Answers

x is 3!! you would set the equation as 4x+3=15. Subtract 3 from both sides to get 4x=12. Divide by 4, then you get your answer as x=3. hope this helped!!

Write an algebraic expression for the situation. 28 divided by a number n An algebraic expression for the situation is​

Answers

Answer:

[tex]\frac{28}{n}[/tex]

Step-by-step explanation:

The triangles are similar by:
the ASA similarity theorem.
the SSS similarity theorem.
the AAS similarity theorem.
the AA similarity postulate.
the SAS similarity theorem.

Answers

Answer:

E. by the SAS similarity theorem.

Step-by-step explanation:

Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)

DC/BC = 240/150 = 1.6

EC/AC = 320/200 = 1.6

This implies that the ratio of two corresponding sides of both triangles are the same.

Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.

Work out m and c for the line:
y – 37 = 5

Answers

Answer:

first thing is y - 35 = 5

then y = 35 + 5 because when = come here - will be + and

then we should do+ y=40 answer

Find sin d, sin e, cos d, and cos e. Write each answer as a fraction in simplest form

Answers

Answer:

r= 17.73174

Step-by-step explanation:

calculations

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