The number of boys and girls in a class are in the ratio 5:4. If the
number of boys is 9 more than the number of girls, then number of
boys is 9

Answer:

thats right.

Step-by-step explanation:

the first place after the decimal is tenths, second, hundredths, third thousands, and so on

Rank on the side. Hope I did this right! Here you go ⭐

Answer: 232

Step-by-step explanation:

Surface area = everything multiplied x 2

Answer:

No

Step-by-step explanation:

Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.

"A triangle is valid if sum of its two sides is greater than the third side."

Answer:

Step-by-step explanation:

13. 2/3

14. 0

15. 5/2

Answer:

D. (8,0), (4,0)

Step-by-step explanation:

they both on tha line

Answer:

-5

Step-by-step explanation:

-5x+6 = 2(-3x + 1) + x - 16

-5x+6 = -6x + 2 + x - 16

-5x+6 = -5x -14

+6≠-14⇒x∈Ф

Answer:

0.92

Step-by-step explanation:

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

URS= 20º

Hope this helps!!

Answer:

Step-by-step explanation:

It rained 184 days out of 365:

It rained 50.41% of days

Answer:

1 second

Step-by-step explanation:

use the general quadratic formula

Answer:

there would probably be around 60 rabbits

Answer:

y = - 3, - 2, - 1

Step-by-step explanation:

Given

- 8 < 2y < 0 ( divide each interval by 2 )

- 4 < y < 0

Then y can equal - 3, - 2, - 1

Answer:

25 grays, 7 pink, 22 orange

total marbles- 54

marbles that are not grey- 29

P(not grey): 29/54

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

Answer:

19

Step-by-step explanation:

we know the sides of a rhombus is all equal, so:

4(2x+4)=168

8x+16=168

8x=152

x=19

Answer:

7x^6 + 4

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Multiples of 6: 6, 12, 18, etc.

Multiples of 9: 9, 18, etc.

the least common multiple here is 18

Answer:

Example: 9 and 12

Step-by-step explanation:

9: 9, 18, 27, 36, 48, 54, 63, 72..

12: 12, 24, 36, 48, 60, 72

36 is the first number that occurred in both list, so 36 is the least common multiple of 9 and 12

Answer:

Therefore the area of the rectangle is

[tex]525in^{2} [/tex]

Step-by-step explanation:

5k²-45= 0

5k²= 0 +45

k²= 45/5

k²= 9

or

k = 9/2 = 4.5

Answer:

24 m²

Step-by-step explanation:

Given that:

Dimension of bedroom = 6 meter by 4 meter

To obtain how much carpet Lisa would need to cover the floor of her bedroom, we calculate the area of the room.

From the dimension given, the area of the room can be obtained using the Area if a rectangle formular :

Area of room = Length * width

Area of room = 6m * 4m

Area of room = 24 m²

Carpet required is 24m² of carpet

Answer:

24m

Step-by-step explanation:

if you times 6 and 4 that equals 24 really easy problem.

Answer:

The length of the base of the rectangle is 7 inches

Step-by-step explanation:

The Area of the rectangle can be found out by multiplying length with the breadth

Area= length *  breadth

35 squared inches= x *5

5x= 35

x= 35/5

x= 7inches

Hence the length of the base of the rectangle is 7 inches.

If the area and one side are known then we can simply find the 2nd side by simply substituting x in its place and solving the equation.

Answer:

∠x = 36°

Step-by-step explanation:

∠a = 180° - 106° = 74°

=> ∠b = 180° - 40° - 74° = 66°

=> ∠c = 180° - 66° = 114°

=> ∠d = 180° - 114° - 30° = 36°

=> ∠x = ∠d = 36°

Answer:

A is correct answer

Step-by-step explanation:

Here, we want to write an equation for a depreciation

The general form is;

V = I( 1 - r)^t

V is the present value in 2015

I is the initial value in 1990 which is 34,400

r is the decrease rate which is 1.7/100 = 0.017

t is the difference in years which is 2015-1990 = 25

Substituting these values, we have

V = 34,400(1-0.017)^25

V = 22,407.65 km^2

Answer:

I think total of is right answer