At the Kennel, the ratio of dogs to cats is 2:1. If there are 10 dogs, how many cats are there

We have:

ba + 3ca = -2

Extract common factor "a":

a(b + 3c) = -2

Divide by the term (b + 3c):

[tex]a = \dfrac{-2}{b+3c}[/tex]

Answer:

X=-2

add 4 to -18

divide -14 (from the previous step [-18+4]) by 7

-14/7 = -2 (from previous step [14/7 = 2, keep it negative])

X = -2 (x equals negative two)

Answer:

Private Loans

Step-by-step explanation:

Answer:

This is called subsidized loan

Answer:

the answer is 9

Step-by-step explanation:

Answer:

it is 9

Step-by-step explanation:

Answer:

All except the last one

Step-by-step explanation:

[tex]\sqrt{1.9}[/tex]=1.37840488

[tex]\sqrt{1.8}[/tex]=1.34164079

Answer:

The first 5

Step-by-step explanation:

Answer:

If you subtract 69 from 769 giving you 700 and divide by 2. You will be get 350 hamburgers and 419 cheeseburgers.

Answer and Step-by-step explanation:

Solution:

Given:

A, B and C are sets.

We have to prove that:

(A − B) ∩ (C − B) = (A ∩ C) − B.

Use an element x,

Let x Є (A – B), by the definition of difference:

X Є A  and x ∉ B.

And

X Є A ∩ C and x ∉ B

X Є (A ∩ C) – B

Now let x Є C – B

By the definition of difference:

X Є C and x ∉ B

By definition of intersection: x Є C and x Є( A ∩ C)  

By definition of difference, using that x Є(A ∩ C) And x  ∉ B:

X Є ( A ∩ C) – B

We know that: x Є (A – B) ∩ ( C – B)

Is equivalent to x Є A – B  and x Є C – B

So, ( x Є A and x ∉ B)

And (x Є C and x  ∉  B)

From this we know that x Є (A ∩ C) – B.

Answer:

1. 1/3

2. 200

Step-by-step explanation:

Answer:

0.720 = 0.7200

Step-by-step explanation:

These decimals are equivalent.

HTH :)

Answer:

0.720=0.7200

Step-by-step explanation:

Take a zero away from the second number and Boom

Answer:

Porportional

Step-by-step explanation:

-1 x = -15 y

-7 x -15 = -105, correct

-9 x -15 = -135, correct

Because all are correct, this is porportional. This means that there is a unit rate and if this were graphed, the line would be straight.

I Hope That This Helps! :)

Answer:

[tex] 24 \times c \\ \\ 24c[/tex]

Step-by-step explanation:

[tex]24 \times c \\ \\ 24c[/tex]

Answer:

784 x 7858 = 6160672

Step-by-step explanation:

Answer:

Step-by-step explanation:

6160,672

Answer:

B. 268

Step-by-step explanation:

The new mean for the given data set can be obtained as 268.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

The given data is 225, 259, 306, 325, 350.

And, its mean is given as 293.

Here, the number of elements is 5.

If 25 is subtracted from each value, new mean can be evaluated as below,

New mean = (Old mean × 5 - 25 × 5)/5

⇒ (293 × 5 - 25 × 5)/5

⇒ 293 - 25 = 268

Hence, the new mean can be obtained as 268.

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Answer:

B stands for the area of the base of a figure.

Step-by-step explanation:

Example: In a square prism, the area of the base would be the length times the width of the square.

Answer:

The Answer is D

Step-by-step explanation:

A survey of every 10th person leaving a large shopping mall. I hope im right this question was tricky though. Hope it helps :)

Answer:

a

  [tex]E = 0.4850 [/tex]  

b

 [tex]E = 0.8689[/tex]  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  108

    The sample mean is  [tex]\= x = 8.8 \ years[/tex]  

     The standard deviation is  [tex]\sigma = 3.5[/tex]

From the question we are told the confidence level is  85% , hence the level of significance is    

      [tex]\alpha = (100 - 85 ) \%[/tex]

=>   [tex]\alpha = 0.15[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 1.44 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.44 *  \frac{ 3.5 }{\sqrt{108} }[/tex]

=>    [tex]E = 0.4850 [/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.58 *  \frac{ 3.5 }{\sqrt{108} }[/tex]

=>    [tex]E = 0.8689[/tex]  

Answer: 144 Hamburgers were sold on Sunday.

Step-by-step explanation:

Hamburgers: 432 ÷ 3 = 144

Chessburgers : 432 - 144 = 288

Answer:

I think you would add the numbers then divide by 2

Step-by-step explanation:

Answer:

1 5/9 miles per day

Step-by-step explanation:

(4 2/3)/3 = 1 5/9

Answer:

Step-by-step explanation:

Angle 2x + 30 is exterior which is equal to sum of non-adjacent interior angles:

Answer:

The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).

I hope this helps!

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The length of the arc subtended by a central angle of 4 radians = 20 m

Diameter of the circle = 10 m

Radius of the circle = 5 m

Central angle in radians = 4 radians

The length of arc for the circle can be determined by the formula as formulated in equation (1)

[tex]\rm L = Length\; of \; Arc \\\theta = Central \; Angle \; in \; radians \\r = Radius\; of\; the\; circle\\L = \theta \times r.......(1)[/tex]

From equation (1) we can write that

[tex]\rm L = 5 \times 4 = 20 \; m[/tex]

The length of the arc subtended by a central angle of 4 radians = 20 m

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Correct question:

Evaluate and simplify the expression when a = 3 and b = 2,

given expression =  3b-2(1 - b)a - 2

Answer:

3b-2(1 - b)a - 2 at the given values is 10.

Step-by-step explanation:

Given;

3b-2(1 - b)a - 2

The expression is simplified as;

3b-2(1 - b) a - 2 = 3b - 2a(1 - b) - 2

                         = 3b - 2a + 2ab - 2

When a = 3 and b = 2; then, substitute these values in the simplified expression above;

3b - 2a + 2ab - 2 = 3(2) - 2(3) + 2(3 x 2) - 2

                            = 6 - 6 + 12 - 2

                            = 10

Therefore, 3b-2(1 - b)a - 2 at the given values is 10.

Answer:

(

x

−

2

)

(

x

−

2

)

=

0

x

=

2

Explanation:

To factor the expression you need to find factors of 4 which add up to 4.

The signs will be the same (because of +4), they are both minus (because of -4x).

2

×

2

=

4

and

2

+

2

=

4

(

x

−

2

)

(

x

−

2

)

=

0

Now that we have the factors, we can solve:

If

x

−

2

=

0

, then  

x

=

2

(Sorry if confusing, it wouldnt let me write it out how i wanted to..)

Answer:

r+17

This equation is stating to write an expression (without an = sign. varies from an equation). It states that you need to write it as 17 more than r. This means 17 added on to r . r+17

Step-by-step explanation:

Answer:

(1)25 pound bag (2) 10 pound bags and(1) 5 pound bag

Step-by-step explanation:

Answer:

takes 3 minutes

Step-by-step explanation:

A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.

[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]

Given sequence is,

500, 100, 20......

Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]

                                          = [tex]\frac{1}{5}[/tex]

Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]

                                           = [tex]\frac{1}{5}[/tex]

Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]

And the given sequence will be geometric sequence.

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