Find the size of angle X.

Answer:

5/3

Step-by-step explanation:

image/pre-image

15/9 simplified is equal to 5/3 which is the scale factor

Given:

The ratio of cats to dogs is 3:7.

12 dogs escaped and the ratio is now 3 : 4.

To find:

The total number of animal at the beginning.

Solution:

Let the number of cats and dogs at the beginning are 3x and 7x respectively.

12 dogs escaped. So, the remaining number of dogs is (7x-12).

New ratio of cats and dogs is 3:4.

[tex]\dfrac{3x}{7x-12}=\dfrac{3}{4}[/tex]

[tex]4(3x)=3(7x-12)[/tex]

[tex]12x=21x-36[/tex]

[tex]12x-21x=-36[/tex]

[tex]-9x=-36[/tex]

Divide both sides by -9.

[tex]\dfrac{-9x}{-9}=\dfrac{-36}{-9}[/tex]

[tex]x=4[/tex]

Now, the total number of animals at the beginning is

[tex]Total=3x+7x[/tex]

[tex]Total=10x[/tex]

[tex]Total=10(4)[/tex]

[tex]Total=40[/tex]

Therefore, the total number of animals at the beginning is 40.

9514 1404 393

Answer:

  A.  One

Step-by-step explanation:

Descarte's rule of signs is used to answer this question. The signs of the coefficients are ...

  + + + -

There is one sign change, hence one positive real root.

Answer:

Triangle area = 20.91 cm^2

Step-by-step explanation:

area = 1/2(b*h)

area = 1/2(8.2*5.1)

area = 1/2(41.82)

area = 20.91 cm^2

Answer:a

Step-by-step explanation:

I am expecting a if not, change the sighns.

Answer:

3

Step-by-step explanation:

Answer:

 3.1

Step-by-step explanation: muitply by 5

Answer:

Kindly check explanation

Step-by-step explanation:

Given the equation : 2x-4=20

By adding 4 1 - tiles to each side, this will eleminate the constant term on the left hand side where the Coefficient we wish to solve for lies. Hence, the same exact treatment given to data on the right hand side is done to the data in the left. Hence, the method will work as it will give ;

2x - 4 = 20

2x - 4 + 4 = 20 + 4

2x = 24 ( constant eliminated)

x = 24/4

x = 6

Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

Answer: <B is congruent to <E

Step-by-step explanation:

There is no “angle,angle,angle” theorem when proving triangles are congruent.

There are 5 however that do:

ASA (angle, included side, angle)

SSS (side, side, side)

SAS (side, included angle, side)

AAS (angle,angle, non included side)

HL (hypotenuse,leg)

Answer:

21 glasses can be filled

Answer:

2. x^2  -3x

    -x      3

3. x^2   7x

   -2x       -14

Step-by-step explanation:

Im pretty sure this is right, but I am so sorry if it's not tho

Answer:

24 + 72 = 96

Step-by-step explanation:

20 + 70 = 90

4 + 2 = 6

90 + 6 = 96

You can first add the ones and then add the tens start always from the ones place gradually getting the higher value digit, to make it easier stack them.

   72

   24

+____

    96

Answer:

9.6 x 10

Step-by-step explanation:

24 + 72 = 96

Answer:

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

The gradient = (12-6/(10-8)

= 6/2

= 3.

Answer:

875 Watts

Step-by-step explanation:

Given that :

P α s²

P = ks²

Where k is the proportionality constant

When ; p = 1260 ; s = 30

1260 = k * 30²

1260 = 900k

k = 1260 / 900

k = 1.4

Value of p ; when s = 25

P = 1.4 * s²

P = 1.4 * 25²

P = 1.4 * 625

P = 875 watt

Answer:

Smallest angle = 30

Step-by-step explanation:

Ratio = 1 : 2 : 3

Angles are  x ,2x , 3x

Sum of all angles of triangle = 180

x +2x +3x = 180

           6x = 180

            x = 180/6

           x = 30

Answer: See explanation

Step-by-step explanation:

Let the coupling that are in the second box be represented by x.

We are informed that a box contains 315 half inch conduit couplings and weighs 119 pounds and that an identical box also contains half-inch conduit couplings and weighs 47 pounds. This can be represented in an equation as:

315/119 = x/47

Cross multiply

119 × x = 315 × 47

x = (315 × 47) / 119

x = 14805/119

x = 124.4

There are about 124 couplings in the box.

Answer:

25% of the mix is raisins

Answer:

B

Step-by-step explanation:

Since UV is a tangent then ∠ WUV = 90°

WZ = WU = x - 1 ( both radii of the circle ) , then

WV = x - 1 + 2 = x + 1

Using Pythagoras' identity in the right triangle

WU² + UV² = WV² , that is

(x - 1)² + (2x - 4)² = (x + 1)² ← expand factors using FOIL

x² - 2x + 1 + 4x² - 16x + 16 = x² + 2x + 1

5x² - 18x + 17 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides

4x² - 20x + 16 = 0 ← divide through by 4

x² - 5x + 4 = 0

(x - 1)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 4 = 0 ⇒ x = 4

But x ≠ 1 as radius x - 1 = 0

Thus x = 4 → B

Answer:

Each book costs $18.

Step-by-step explanation:

$155 - 11 = $144 left

$144/8 books = $18 per book

Hope this helps!

Answer:

155 minus the 11 she still had means she spent 144.

144 divided by 8 books comes to $18 per book, on average.

Answer:

26.9 - 56.16a

Step-by-step explanation:

-1.7 + 5.2(5.5 - 10.8a)

use the distributive property

-1.7 + 28.6 - 56.16a

combine like terms

-1.7 + 28.6 = 26.9

26.9 - 56.16a

plz mark as brianliest if correct!!!

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

Answer:

26,800 pounds of gravel

Step-by-step explanation:

13.4 tons is equal to 26,800 pounds

Answer:

this doesn't make any sense

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

Answer:

p = 3

Step-by-step explanation:

22 - 7 = 15

5p = 15

p = 15 ÷ 5 = 3