Ask question

Ask question

All categories

2 years ago

6

Felix spent $12 on a movie ticket and x amount of money on snacks. He spent no more than a total of $22 dollars. Which inequalit

y could be used to find the amount of money Felix could have spent on snacks?

1 answer:

adoni [48]2 years ago

6 0

$12+X is less than or equal to $22

You might be interested in

If the equation yx = zx is true, when yx is positive, x /= 0, and z is

denis23 [38]

Answer: negative

Step-by-step explanation:

With yx = zx, then by the Multiplicative Property of Equality, y = z. Since z is a negative integer, then y is also a negative integer. Since yx is positive, with y equal to a negative integer, then x is negative.

5 0

2 years ago

A nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. Which walk is

MArishka [77]

Answer:

Evening walk is shorter.

Step-by-step explanation:

We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.

Let us compare both fractions by making the same denominator.

$\text{Two-thirds}=\frac{2}{3}$

$\text{Two-thirds}=\frac{2\times2}{3\times2}$

$\text{Two-thirds}=\frac{4}{6}$

$\text{Three-sixth}=\frac{3}{6}$

Upon making common denominator, we can see that two-thirds are equal to four sixths.

Since three-sixths is less than four-sixths, therefore, evening walk is shorter.

We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.

We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.

Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.

5 0

3 years ago

A past study claims that adults in America spend an average of 17 hours a week on leisure activities. A researcher wanted to tes

8090 [49]

Answer:

The claim is false.

Step-by-step explanation:

Given the data :

13 24 21 37 15 25 18 22 40 32

The sample mean and standard deviation can ben calculated for the given sample.

Using calculator :

Sample mean, xbar = 24.7

Sample standard deviation, s = 9.04

Sample size, n = 10

The hypothesis :

H0 : μ = 17

H1 : μ ≠ 17

The test statistic :

(xbar - μ) ÷ (s/√(n))

(24.7 - 17) ÷ (9.04/√(10))

7.7 / 2.8586990

Test statistic = 2.694

We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9

Pvalue = 0.0246

Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure

5 0

2 years ago

Sarah answered 24 questions on her test correctly and earned an 80%. How many questions were on the test?

MaRussiya [10]

Answer:

43 questions in total

Step-by-step explanation:

the original equation with the unknown (total number of questions on the test) will look like this

$\frac{total \: number \: of \: questions \: on \: exam}{24 \: answered \: questions} = 80\%$

we know this because to work out a percentage in the 1st place you need the total ÷ number (in this case it's ÷ how many questions out of the total she did answer)

now you rearrange.

you need to move the 24 to get the total on it's own here's how you do it

$\frac{tot \: num \: of \: qs}{24} \times 24 = 80\% \times 24$

what you do to one side of equation you have to do to the other. the 24 and 24 on the left will cancel because 24÷24=1 and we don't write

got mum of Q's x 1= 80 x 24

now you convert % to decimal

$80\% \times 100 = 0.80$

replace

$tot \: num \: qs \: = 24 \times 0.80 = 19$

now you take the original and + the 19

$24 + 19 = 43$

therefore there are a total of 43 questions on the exam

5 0

3 years ago

2/5 - 1/3 (simplified if possible)

Kipish [7]

Answer:

1/15

Step-by-step explanation:

(1). <em>Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD (Least Common Denominator). </em>

So lets do step one now, the LCD is 15 so we have to make both denominators agree on one number, so 15 is the number both denominators agree on.

Solve:

2*3/5*3 - 1*5/3*5

(2). <em>Complete the multiplication.</em>

6/15 - 5/15

(3). <em>The two fractions now have like denominators so you can subtract the numerators.</em>

6 - 5 / 15 - 15 = 1/15

*Pro tip:

<em>The denominator doesn't change and stays the same. So you don't </em>

<em>subtract the 15 by 15.</em>

(4). <em>Then you'll get the answer and then if you can simplify then simplify.</em>

<em />

The Answer is 1/15, and cannot be simplified.

So the answer is 1/15

Hope this helps!

7 0

2 years ago