If two numbers are in the ratio 5 : 7 and if
5 is added to each of them, the ratio
becomes 3 : 4. Find the numbers.​

Answer:

See it like this. 2.5km in 5minutes, and one hour has 60 mins. 60/5 = 12 60 mins is (5mins*12) So if the minutes were 60, distance would be 2.5*12 = 30. He will cover 30km in 1hr(60 minutes) So his speed in 30km/hr

Answer:

Trinomial

[tex]m^2 - 13m + \frac{169}{4}[/tex]

Binomial squared

[tex](m - \frac{13}{2})^2[/tex]

Step-by-step explanation:

Given

[tex]m^2-13m[/tex]

Required

Make a perfect trinomial

We have:

[tex]m^2-13m =[/tex]

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

Take the coefficient of m i.e. -13

Divide by 2 i.e. -13/2

Square i.e. (-13/2)

Add to both sides of the equation

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

[tex]m^2-13m =[/tex] becomes

[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]

[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]

Expand

[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]

Factorize:

[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Factor out m - 13/2

[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Write as square

[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]

Hence, the trinomial is:

[tex]m^2 - 13m + \frac{169}{4}[/tex]

And the binomial squared is:

[tex](m - \frac{13}{2})^2[/tex]

Answer:

748h=1,500

Step-by-step explanation:

volume=length x width x height

we know the length and width so

v=34 x 22, which that equals 748

to find the length we need to divide 1,500 and 748.

hope this helps!

Answer:

the tax amount is $3.7

Step-by-step explanation:

Given that

The price of the sweatshirt is $74

And, there is a 5% tax

So we assume that We need to find out the tax amount

So here the following formula should be used

= Price of the sweatshirt × tax rate

= $74 × 0.05

= $3.7

Hence, the tax amount is $3.7

So the same would be considered and relevant

Answer:

4a² - 3a + 2

Step-by-step explanation:

*picture above*

Answer:

72 cm ze wszystkich stron

Step-by-step explanation:

promień jest równy bokom kształtu.

Answer:C

Step-by-step explanation:

I took the test

Answer:

C

Step-by-step explanation:

The types of cars sold in the two months typically get about the same gas mileage.

Answer:

The area is: [tex]69m^2[/tex]

Step-by-step explanation:

Given

[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]

[tex]b_1 = 9m[/tex]

[tex]b_2 = 14m[/tex]

[tex]h =6m[/tex]

Required

The area

We have:

[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]

This gives:

[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]

[tex]A = \frac{1}{2}* 23m * 6m[/tex]

[tex]A = 69m^2[/tex]

Answer:

x = 17.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 51 = x /28

28 cos 51= x

x=17.62097

To the nearest tenth

x = 17.6

Answer:

B. 90 inches

Step-by-step explanation:

Given that

The length is 50 m

And, the width is 25 m

Scale factor is 3 inches per 5 m

We need to find out the  perimeter of the pool

So,

5 meter = 3 inches

3  ÷ 5 = x ÷ 50

x = 30 inches = length

Now

3  ÷ 5 = x ÷ 50

x = 15 inches = width

Now the perimeter of the pool is

= 2(l + w)

= 2 (30 + 15)

= 90 inches

Answer:

0.62 im 99% sure

Step-by-step explanation:

Answer:

0.62

Step-by-step explanation:

Answer:

The value of BEF = 36°

Step-by-step explanation:

Given:

Angle AED = 90°

Angle BEF = 3x°

Angle CEF = 54°

Find;

The value of BEF

Computation:

We know that;

Angle AED = Angle BEC (Vertical opposite angle)

So,

Angle AED = Angle Angle BEF + Angle CEF

90 = 3x + 54

3x = 90 - 54

3x = 36

x = 36 / 3

x = 12

The value of BEF = 3x

The value of BEF = 3(12)

The value of BEF = 36°

Answer:

√-4 = 2 i

√-9 = 3 i

√-2 = 1.41421356237 i

[tex]3(x - 3) + 8x = 5(2x + 1)[/tex]

Expanding the terms,

[tex]3(x - 3) + 8x = 5(2x + 1) \\ 3x - 9 + 8x = 10x + 5[/tex]

Collecting like terms,

[tex]3x - 9 - 8x = 10x + 5 \\ 3x - 8x - 10x = 5 + 9[/tex]

Evaluating the terms,

[tex]3x - 8x - 10x = 5 + 9 \\ - 15x = 14[/tex]

Divide both sides by -15,

[tex] - 15x = 14 \\ x = - \frac{14}{15} [/tex]

Answer:

b. Larger groups tended to take less time to solve the puzzle.

Step-by-step explanation:

Given that

The group of 1 to 8 people and each group do have the same puzzle to solve

Now based on the given statements and attached graph

It can be seen that the larger number of groups would take lesser time for solving the puzzle

Therefore the option b is correct

And, the rest of the options would be wrong

Answer:

c

Step-by-step explanation:

the answer is c c c c c c c c

Answer:

[tex]x < 6[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The inequality

The arrow points starts at 6 and points left.

This means that:

[tex]x < 6[/tex] or [tex]x \le 6[/tex]

The open circle on 6 implies that the inequality is either [tex]<[/tex] or [tex]>[/tex]

Hence, [tex]x \le 6[/tex] is invalid

So, the inequality is: [tex]x < 6[/tex]

Answer:

62.832 mi^2

Step-by-step explanation:

Top and bottom faces : 2^2 x pi = 4pi    4pi x 2 = 8 pi mi^2

Curved Surface Area= pi x diameter x height

= pi x 4 x 3 = 12 pi mi^2

So total SA= 8pi + 12pi = 20 pi mi62 = 62.832 mi^2 (nearest thousanth)

Answer:

SA=62.832 mi^2

Step-by-step explanation:

To find the surface area of a cylinder, you have to use the formula SA=2πrh+2πr^2. This means the surface area will be (2π x (3x2)) + (2π x (2x2)). If I simplify, I get 12π+8π. That's 20π. If I convert, I get approximately 62.8318531. In your case, I round to the nearest thousandth, and my final answer is 62.832.

Answer:

5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Step-by-step explanation:

Given that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

11 bakers can make 89 pretzels in 2.5 hours, that is, 35.6 per hour (89 / 2.5), and 3,236 per baker per hour (35.6 / 11).

3/4 = 0.75

Therefore, 5.75 bakers, making 3.236 per hour during 1.5 hour, will make the following amount of pretzels:

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer:

b

Step-by-step explanation:

Solution :

P(A) = 0.2

[tex]$P(B)=0.3$[/tex]

[tex]$P(C)=0.5$[/tex]

Each portfolio has both the stocks and the bonds, and the investors are equally likely to choose either of them.

Let Stock = S

      Bond  = b

Therefore, we have:

[tex]$P(S|A) = 0.5$[/tex]

[tex]$P(b|A) = 0.5$[/tex]

[tex]$P(S|B) = 0.5$[/tex]

[tex]$P(b|B) = 0.5$[/tex]

[tex]$P(S|C) = 0.5$[/tex]

[tex]$P(b|C) = 0.5$[/tex]

Therefore,

[tex]$P(b \text{ and } B)= P(b|B) \times P(B)$[/tex]

                    = 0.5 x 0.3

                    = 0.15

Based on the tree diagram, probability of an investor choosing only bonds from portfolio B is 0.15.

Probability is the chance or likelihood of an event occurring.

Mathematically, probability is given as;

From the tree diagram:

P(A) = 0.2

P(B) = 0.3

P(C) = 0.5

The investors are equally likely to choose from each portfolio.

Each portfolio has both the stocks and the bonds.

Assuming stock = S and Bond = B.

Then;

P(S|A) = 0.5

P(b|A) = 0.5

P(S|B) = 0.5

P(b|B) = 0.5

P(S|C) = 0.5

P(b|C) = 0.5

[tex]P(b \text{ and } B)= P(b|B) \times P(B)[/tex]

[tex]P(b \text{ and } B)= 0.5 \times 0.3 = 0.15[/tex]

Therefore, the probability of an investor choosing only bonds from portfolio B is 0.15.

Learn more about probability at: https://brainly.com/question/251701

#SPJ5

Which negative angle is equivalent to an 85° angle?

A. An angle measuring -95°

B. An angle measuring -275°

D. An angle measuring -265°

-KeonLee

I hope it help

#Carry on learning

An angle measuring -275°

*view photo*

Answer:

198in³

Step-by-step explanation:

okay, so this is just a volume problem, just break it down into your rectangular prism and your rectangular pyramid, so let's start on the bottom:

(the formula for the volume of a rectangular prism is base x height)

6 x 4.5 = 27

So now we multiply by 5 (the height)

27 x 5 = 135

So we put that aside while we do the pyramid

(this formula is base x height ÷ 3)

So we already have 27 from the rectangle thingy, so:

27 x 7 = 189

189 ÷ 3 = 63

So now we add both of our volumes together:

135 + 63 = 198

So the volume of the figure is 198in³

But in word problem terminology, There is 198in³ in Owen's birdhouse

hope this helps:)

Answer:

it should be 119

Step-by-step explanation:

(7-3) = 4

4^2 = 16

16 x 7 = 112

112 + 7 = 119

Answer: 119

[tex]7+7(x-3)^{2}[/tex]

[tex]7+7(7-3)^{2}[/tex]

[tex]7+7(4)^{2}[/tex]

[tex]7+7(16)[/tex]

[tex]7+112[/tex]

=119

To get the answer, we'll use the following property of logs:

logₓ(A) + logₓ(B) = logₓ(A*B)

SImplifying the given expression:

Now, we are given the expression:

log₆36 + log₆216

Using the property listed above, we can rewrite it as:

log₆(36*216)

log₆(7776)

Hence, option (C) is correct