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Answer:

3:7

Step-by-step explanation:

The number of rabbits is 12 while the total number of animals

7 + 12 + 6 + 3 = 28

So the ratio of rabbits to animals is 12:28 = 3:7

Answer: 15% I think

Step-by-step explanation:

The percent of increase in the amount of shampoo the new bottle contains is 25%.

Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.

Percentage increase = (Final value - Initial value) / Initial value × 100

Now, initial value = 12 and final value = 15

Percentage increase = (15-12)/12 × 100

= 3/12 × 100

= 1/4 × 100

=25%

Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.

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Answer:

Step-by-step explanation:

The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.

Answer:

A'C'=AC=3

Step-by-step explanation:

Answer:

C: 3 units

Step-by-step explanation:

Just think about it... 180 degrees rotated is exactly opposite rotation degree.

If you rotate 90 degrees, the triangle will end up on quadrant 4.

Rotate 360 degrees, the triangle will stay in the same quadrant.

In conclusion, C is the best option

Answer:

The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]

Step-by-step explanation:

Given

Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]

Required

Determine two additional roots

For a polynomial with two rational roots, the additional roots are the conjugates of the roots.

Take for instance, the following expression:

[tex]a + \sqrt b[/tex]

The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].

Having established how to determine the additional roots, we proceed to determine the roots.

The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]

Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]

Answer:

x=-8

Step-by-step explanation:

1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)

so

4x+1=-31

a) 4x+1-1=-31-1

4x=-32

b) remove the coefficient by doing the opposite operation(division in our case)

x=-8

Answer:

15.85%

Step-by-step explanation:

you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Completing the square gives

[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]

So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.

Answer:

k=± 14

Step-by-step explanation:

[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]

Answer:

20

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5

Answer:

5.2 Minutes, or 5 minutes and 12 seconds

Step-by-step explanation:

You can solve this problem by working backward.  Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already.  When we do this, we get 4.0.  When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.

Answer:  if Lisa has  ?  sheets of paper and she uses 100 sheets and has 40 sheets left how many sheets of paper did she start with

Answer:

a

Step-by-step explanation:

i did this test and question beforer si know what it iso

Answer:

x=4

Step-by-step explanation:

Answer:

for question d, 58.3 repeated

Step-by-step explanation:

cross multiply 3x=175

175/3= 58.3 repeated or 58 and one third.

Answer:

first blank: 50-10=40

second blank: 50-20=30

third blank: 50-25=25

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

                                              40  30  25

10     20        25

40    30        25

Answer:

84

Step-by-step explanation:

Answer:

either (3x7)x4   or (3)(7)(4)

Step-by-step explanation:

Answer:

112°

Step-by-step explanation:

Answer:

238 miles

Step-by-step explanation:

340 miles = 5 hours

So get 1 hour by dividing by 5 on both sides

5/5 = 1 hr

340/5 = 68

So in 1 hour they travel 68 miles

You want to find 3 1/2 hours

Do 68 x 3 to get 3 hours

So it would be 68 x 3 =204

Plus the half an hour - which you get by doing 68/2 = 34

68 = 1 hour, so half of that must be half an hour

So to get the final distance you do 204 (3 hours) +34 (half an hour)

204 + 34 =238

Answer:

5, -7, 18, 14

Step-by-step explanation:

1) x = 5

2) x = -7

3) x = 18

4) x = 14

Answer:

15% of 20 is 3, so 3 muffins were sold.

Step-by-step explanation:

To get this answer, multiply the percent by the total (15 x 20 = 300) and then divide the answer by 100. (300 / 100 = 3). Hope this helps :)

Answer:3

Step-by-step explanation:

0.15x20=3

0.15 is the percent of muffins, to find out a percentage over a number, you do the percentage dived by 100. Than, you multiply it by the number.

Answer:

the answer is eight dollars and thirty four cents $8.34

Answer:

k-9=10

k=10+9

k=19

take care of yourself

have a nice day

If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.

Then the value of x will be

The value of x will be given by the sine rule.

sin θ = x/h

WE have

θ = 57°

h = 4 cm

Then we have

sin 57° = x/4

x = 3.3546

x ≅ 3.36

More about the right-angle triangle link is given below.

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Answer:

540/90=6

and is 6 cm

height is 6 cm

Answer:

angle BAC=50-2x

Step-by-step explanation:

angle ACD=115+x

then, angle ACB=180-(115+x)   because it is a supplementary angle

angle ABC=angle ACB because it is an isosceles triangle

angle BAC=180-2[180-(115+x)]

angle BAC=180-360+230-2x

angle BAC=50-2x