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3 years ago

At the pet store the ratio of dogs to cats was 4:7. For every dogs there are cats.

Mathematics

1 answer:

topjm [15]3 years ago

6 0

so for every 4 dogs, there are 7 cats. You could replace this with 8 dogs to 14 cats (you're doubling both).

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The following list contains the number of movies that a group of 10 students saw in theaters in the past 12 months. 18, 15, 20,

tigry1 [53]

Place in ascending order: 4 6 8 15 15 17 17 18 20 20

middle numbers = 15 and 17

(15+17)/2 = 16

4 0

2 years ago

A survey of 45 teens found that they spent an average of 25.6 hours per week in front of a screen (television, computer, tablet,

lapo4ka [179]

Answer: 27.4 hours

Step-by-step explanation:

According to the given statement "A survey of 45 teens found that they spent an average of 25.6 hours per week in front of a screen (television, computer, tablet, phone, etc.)."

Since the word average is synonym of word mean.

Therefore, the sample mean must have the nearest value to the given average.

From the given options 27.4 is the nearest value to the average of 258.6.

Hence, the population mean = 27.4 hours.

3 0

3 years ago

Trigonometric identities assignment 4

kykrilka [37]

Answer:

Answer: choice D.

Step-by-step explanation:

Trigonometric Functions

We need to recall some properties and definitions of the trigonometric functions.

$\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}$

$\displaystyle \sec \theta=\frac{1}{\cos\theta}$

We need to simplify the following expression:

$5\sin\theta\sec\theta$

Substituting the identity for the secant:

$\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}$

Operating:

$\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}$

Substituting the definition of the tangent:

$\displaystyle 5\sin\theta\sec\theta=5\tan\theta$

Correct choice D.

6 0

3 years ago

An actor invests some money at 9% simple interest, and $24,000 more than three times the amount at 10% simple interest. The

Andrew [12]

Answer:

The amount invested at 9% is $93000

The amount invested at 10% is $303000

Step-by-step explanation:

Let the amount invested at 9% interest rate be x

And the amount invested at 10% rate be y

Simple Interest from x in a year = 0.09x

Simple Interest from y in a year = 0.1y

But y = 24000 + 3x

And the sun of the interests, 0.09x + 0.1y = 38670

Now we have a simultaneous eqn

y = 24000 + 3x (eqn 1)

0.09x + 0.1y = 38670 (eqn)

Substitute y into eqn 2

0.09x + 0.1(24000 + 3x) = 38670

0.09x + 2400 + 0.3x = 38670

0.39x = 38670 - 2400

x = 36270/0.39 = $93000

y = 24000 + 3x = 24000 + 3 × 93000 = $303000

8 0

3 years ago

Can someone explain this to me? Please solve step by step. I don't know how to do this.

ololo11 [35]

Given,

y = -3x+1 (EQ1)
y = 2x-4 (EQ2)

Equate EQ1 and EQ2

EQ1 = EQ2
-3x+1 = 2x-4
-3x-2x = -4-1
x = 1

y = -3x+1
y = -3(1)+1
y = -3+1
y = -2

(1, -2)
~B

6 0

3 years ago

At the pet store the ratio of dogs to cats was 4:7. For every __ dogs there are __ cats.

At the pet store the ratio of dogs to cats was 4:7. For every dogs there are cats.