1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valina [46]
3 years ago
8

Brooke collects porcelain dolls and teddy bears. Over the years, the number of porcelain dolls she collected is 14 less than twi

ce the number of teddy bears. If she has a total of 52 dolls and bears, how many teddy bears does Brooke have?
Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0
Teddy =X
Dolls= 2x-14

2x-14+X=52
3X-14=52
Add 14
3X=66
Divide by 3
X= 22

Teddy are 22
Dolls 2(22)-14=30
You might be interested in
Who ever gets this right will get a brainlest
WITCHER [35]
A. Right angle i got you!!!!!!
7 0
3 years ago
Read 2 more answers
Find , , and if and terminates in quadrant .
ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

,

• cos2x

,

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})=\frac{12}{13}

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\  \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

\tan 2x=\frac{2\tan x}{1-\tan ^2x}=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}=\frac{\frac{4}{3}}{1-\frac{4}{9}}=\frac{\frac{4}{3}}{\frac{9-4}{9}}=\frac{\frac{4}{3}}{\frac{5}{9}}=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}

OR

\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0
1 year ago
What would be the responsibilities of all these employees in the production of this soup if it was served in a restaurant?
expeople1 [14]

Answer:

Could you add the production of this soup if it was served in a restaurant?

Step-by-step explanation:

I'll answer then

5 0
2 years ago
Parents of students at a middle school
Contact [7]

Answer:

<em>(B). 319 </em>

Step-by-step explanation:

\frac{42}{60} = \frac{x}{456}

\frac{7}{10} = \frac{x}{456}

x = \frac{7*456}{10} ≈ <em>319</em>

6 0
3 years ago
Read 2 more answers
A house costs $600 more than twelve times the lot on which it was built. If the lot cost x dollars, what did the house cost?
PSYCHO15rus [73]

Answer:

600 + 12 x dollars I hope this is correct

5 0
3 years ago
Other questions:
  • HELP PLEASE SOMEONE HELP MEEE ASAPPPP
    14·1 answer
  • What is the simplified form of the expression?
    13·2 answers
  • PLEASE FAST ANSWER THIS AND DONT MIND MY WORK PLEASE!!!
    14·1 answer
  • The Jones family is landscaping their yard. Their yard yard is 160 square feet and one side is 10 feet long. What is the length
    15·1 answer
  • Clare travels at a constant speed, as shown on the double number line
    15·1 answer
  • Where do the lines intersect?
    5·2 answers
  • Solve: 4 In x = 2 In 25
    11·2 answers
  • Two fire trucks on the ground on either side of a burning building are 1.3 miles apart. They each measure the angle of elevation
    10·1 answer
  • 1/2x + 2/3 = 3/4<br><br><br><br><br>Find the x<br><br><br>X=??
    9·1 answer
  • Tại Trường Tiểu học ABC, số học sinh của Khối lớp 1, Khối lớp 2, Khối lớp 3, Khối lớp 4 và Khối lớp 5 chiếm tỉ lệ lần lượt là 28
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!