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
d1i1m1o1n [39]
4 years ago
12

Tory sells stuffed animals. She sells large stuffed animals for 9 dollars and small stuffed animal for four dollars.By the end o

f the day, Tory had sold the same number of large stuffed animals as small stuffed animals. She collected a total of 65 dollars.How many of each size of stuffed animal did Troy sell?Tory sold ____ small stuffed animals and ____ large stuffed animals Show how u got the answers below
Mathematics
1 answer:
NISA [10]4 years ago
3 0

To solve this problem, let us first assign some variables. Let us say that:

x = amount of large stuffed animals sold

y = amount of small stuffed animals sold

a = price of large stuffed animals

b = price of small stuffed animals

 

Therefore the equation of the total earning is:

Total earning = a x + b y

 

We know that:

Total earning = $65

a = $9

b = $4

 

Therefore:

65 = 9 x + 4 y

 

It was also stated that equal amount of x and y are sold, therefore:

x = y

 

Hence,

65 = 9 x + 4 x

65 = 13 x

x = 5

and y = 5

 

To complete the sentence:

Tory sold<u> 5</u> small stuffed animals and<u> 5</u> large stuffed animals.

You might be interested in
A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
What should be done first to evaluate the expression?<br> 6+8+ 4+ (4 x 5)2
mars1129 [50]

Answer: 40x+18

Step-by-step explanation:

4 0
3 years ago
A sum of money amounting to $4.15 consists of dimes and quarters. If there are 28
anastassius [24]

Answer:

there are 9 quarters and 19 dimes

Step-by-step explanation:

Let x be the number of dimes and y the number of quarters

-dimes: 0.1x

-quarters: 0.25y

-the total amount of coins : x + y = 28  

=> x = 28 - y

We have the equation:

0.25y + 0.1x = 4.15

0.25y + 0.1(28 - y) = 4.15

0.25y + 2.8 - 0.1y = 4.15

0.15y = 1.35

y = 9

x = 28 - y

  = 28 - 9

  = 19

3 0
3 years ago
What is the mode for the set of data? 6,7,10,12,12,13<br><br> 10<br> 12<br> 13<br> 11
KonstantinChe [14]
12
because it is the only number that appears more than once which is basically the definition of mode.
4 0
3 years ago
I NEED HELP DONT COMMENT IF YOU'RE DONT KNOW
stepan [7]
<span>12.6≤<span>g+17.4</span></span>  Flip the equation.<span><span>  g+17.4</span>≥12.6</span>  Subtract 17.4 from both sides.<span><span><span>  g+17.4</span>−17.4</span>≥<span>12.6−17.4</span></span><span>  g≥<span>−4.8</span></span>   Answer:  <span>g≥<span>−<span>4.8</span></span></span>
6 0
3 years ago
Other questions:
  • Name the property of real numbers illustrated by the equation
    5·2 answers
  • Half of a number is three times the sum of a number ad five.
    9·1 answer
  • Nick mowed about 3/5 of the school lawn yesterday. The mowed another 1/4 of the remaining portion of the lawn this morning. How
    6·1 answer
  • Are 4,563 and -1/4 rational or irrational?
    5·1 answer
  • Sketching lines equations
    15·1 answer
  • Determine whether the function below is an even function, an odd function, both, or neither.
    14·2 answers
  • F(x)=x^2. what is g(x)?
    14·1 answer
  • Please help due soon.
    8·2 answers
  • PLEASE HELP! DUE SOON!
    8·1 answer
  • C<br> Question<br> What is the absolute value of -36?<br> -36<br> оо<br> 6<br> d<br> 36
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!