Which symbol goes in the box to make this number sentence true?
6x _x + x +
+x+x

Given:

The sum of three numbers is 212 .

The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.

To find:

The unknown numbers.

Solution:

We have,

First : Second = 13:16

Second: Third = 2:3

We need to combine these ratios, to get a single ratio for all three numbers.

Second: Third = 2×8:3×8 = 16:24

Now,

First: Second: Third = 13:16:24

Let the first, second and third numbers are 13x, 16x and 24x respectively.

[tex]13x+16x+24x=212[/tex]

[tex]53x=212[/tex]

[tex]x=\dfrac{212}{53}[/tex]

[tex]x=4[/tex]

So, the numbers are,

[tex]First=13x[/tex]

[tex]First=13(4)[/tex]

[tex]First=52[/tex]

Similarly,

[tex]Second=16x[/tex]

[tex]Second=16(4)[/tex]

[tex]Second=64[/tex]

And,

[tex]Third=24x[/tex]

[tex]Third=24(4)[/tex]

[tex]Third=96[/tex]

Therefore, the three unknown numbers are 52, 64, 96.

f(2x-3)=4x+5

Let, 2x-3=g

x=(g+3)/2

So,f(2{g+3}/2 -3)=4(g+3)/2 + 5

f(g)=2g+11

So,f(x)=2x+11

f(-2)=7 ##

Answer:

f(2x - 3) = 4x + 5

f(2x-3)=2(2x-3)+11

f(x)=2x+11

f(-2)=2×-2+11=-4+11=7

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

15

Step-by-step explanation:

Hope it is helpful....

Answer:

The Square root of 225 is 15

Jan is not correct. The opposite of any number will not always be a positive. This is because the opposite of a positive number is negative and the opposite of a negative number is positive.

Basically, opposite numbers are numbers that are the same distance to 0 on a number line. If we were to have a positive 1, the opposite of that number would be a -1, because that's equally distant from 0 on a number line.

Answer:

Search up the name of the exit ticket and then u get ur answers

Step-by-step explanation:

Answer:

6 kilometers. This is because A,B, and C are all around 18 feet. However, 6 km = 19,685 feet and that is unrealistic.

Answer:

4/7 of her total time cleaning the kitchen

Step-by-step explanation:

Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]

Let

x = her total time

Room cleaning = 1/3x

Time remaining = 2/3x

Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen.

Kitchen cleaning = 6/7 of 2/3x

= 6/7 * 2/3x

= (6*2)x/(7*3)

= 12/21x

= 4/7x

Olivia spent 4/7 of her total time cleaning the kitchen

Answer:

The first one is 360 degrees. The second one is 1080.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.

Answer:

40, 42 and 44

Step-by-step explanation:

Mark these even consecutive integers as (2n-2), 2n and (2n+2)

Note that since they are integers, n > 0 and 2n is always even

Writing the equation

(2n-2) * 2n = 38 * (2n+2) + 8

// divide both sides by 2

(2n-2) * n = 19 * (2n+2) + 4

[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4

[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0

[tex]2n^{2}[/tex] - 40n - 42 = 0

// divide both sides by 2

[tex]n^{2}[/tex] - 20n - 21 = 0

// rewrite the equation

[tex]n^{2}[/tex] + n - 21n - 21 = 0

n * (n+1) - 21n - 21 = 0

n * (n+1) - 21 * (n+1) = 0

(n+1) * (n-21) = 0

// separate the two possible cases

n + 1 = 0 and n - 21 = 0

n = -1              n = 21

Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21

Calculating the consecutive even integers

2n - 2 = 2 * 21 - 2 = 40

2n = 2 * 21 = 42

2n + 2 = 2 * 21 + 2 = 44

Answer:

75

Step-by-step explanation:

Answer:

3x3 - 18×2 + 24x = 75

Step-by-step explanation:

my mind is my friend

Answer:

False

Step-by-step explanation:

It is a linear equasion because it's in ax+by=c form

Answer:

Simplifying

10x + -5(3x + -1) = 15

Reorder the terms:

10x + -5(-1 + 3x) = 15

10x + (-1 * -5 + 3x * -5) = 15

10x + (5 + -15x) = 15

Reorder the terms:

5 + 10x + -15x = 15

Combine like terms: 10x + -15x = -5x

5 + -5x = 15

Solving

5 + -5x = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + -5x = 15 + -5

Combine like terms: 5 + -5 = 0

0 + -5x = 15 + -5

-5x = 15 + -5

Combine like terms: 15 + -5 = 10

-5x = 10

Divide each side by '-5'.

x = -2

Simplifying

x = -2

Step-by-step explanation:

Answer:

y=4x-13

Step-by-step explanation:

26 I think (i'm not sure please correct me.)

Answer:

ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here:  https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r     is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2

Answer:

on the bottom equation you can subtract 1 from both sides, x = 2y+1 so you substitute that in for x on the other equation, 7(2y+1) - 2y = 1 or 14y + 7 -2y = 1 then 12y = -6 y = -1/2 which you put back into the other equation, 2(-1/2) = x -1 so -1 = x - 1 then x = 0, the answer is (0, -1/2)

Answer:

Total possible outcomes = 12

{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}

Step-by-step explanation:

Bag 1 = { 1, 2, 3}

Bag 2 = {A, B, C, D}

Sample space :

Size of bag A * size of bag B

3 * 4

= 12

Step-by-step explanation:

The location of A is 3.2

The location of A' is 6.4

A represent pre image A' represent the new image.

The scale factor of A to A' is 2 since 3.2 x 2 =6.4

Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.

Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).

Step-by-step explanation: i hope this helps im sorry if this didnt help

Answer:

23 units

Step-by-step explanation:

Let the vertices of the triangle be A(5,6), B(4,1) and C(-4,2)

Perimeter of the triangle = AB + AC + BC

AB = √(5-4)²+(6-1)²

AB = √1²+5²

AB = √1+25

AB = √26

For BC where B(4,1) and C(-4,2)

BC = √(4-+4)²+(1-2)²

BC = √8²+1²

BC = √64+1

BC = √65

For AC where A(5,6) and C(-4,2)

AC = √(5+4)²+(6-2)²

AC = √9²+4²

AC = √81+16

AC = √97

Perimeter = √97 + √26 + √65

Perimeter = 9.85+5.09+8.06

Perimeter = 23

Hence the perimeter of the triangle is approx 23 units

Answer:

190,944 possibilities

Step-by-step explanation:

2 x 6 x 52 x 51

Answer:

The sentance you but then would be than which would be Hay más mesas en la cocina que en mi habitación but the word then would be entonces and example sentance is entonces iré allí which is then i will go over there

and than is que, an example sentace en lugar de que yo vaya allí which is rather than me going over there

Step-by-step explanation:

Answer:

Hi Alycia! The answer to your question is Hay más mesas en la cocina que en mi habitación

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

xD

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

Answer: 8.25cm

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle:

[tex]a^2+b^2=c^2[/tex]

'A' and 'B' being the legs and 'C' being the hypotenuse.

[tex]16^2+b^2=18^2\\256+b^2=324\\b^2=68\\b=\sqrt{68}=8.25cm[/tex]

Answer:

14:6, 21:18, 42:36, 73:54

Step-by-step explanation:

There is a few of them. Hope this helps:)

Answer:

Step-by-step explanation:

c=d[tex]\pi[/tex]

c=14x3.14

c=43.96

Answer:

100.8

Step-by-step explanation:

100%=360

35%=?

35/100*360=100.8

Answer:

The correct answer is 126

Answer:

185

Step-by-step explanation:

14.8 / 0.08 = 185

Best of Luck!

Answer:

185

Step-by-step explanation:

next time you get a question like that use symbolab

Answer:

0

Step-by-step explanation:

7c =

7(0) = 0

hope you understand

Answer:

since the c is 0.. then substitute c as 0 in 7c...

hence the equation will be 7(0)...

equals to 7×0

the answer is 0

Step-by-step explanation:

1(

m<1= 62°

2)

m<1=90°

3)

180-70-65=45

m<1= 45°

4)

180-90-30=60

m<1= 60°

Answer:

Answer: D. 18

Step-by-step explanation: