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zimovet [89]
3 years ago
13

Ay a party the number of people who ate meatballs was 11 fewer than 1/3 of the total of people. Five people ate meatballs. Write

the equation and solve
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

5=1/3x-11

Step-by-step explanation:

Add eleven to each side to get 16=1/3x. Then multiply each side by three to get 48=x, so x=48.

You might be interested in
A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig
Anika [276]

Answer:  (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Sample size = 463

\mu=118\text{ minutes}

\sigma=65\text{ minutes}

Significance level : \alpha=1-0.99=0.01

Critical value : z_{\alpha/2}=z_{0.005}=\pm2.576

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

3 0
3 years ago
Let g(x)= -3x and h(x) x^2+3 Find (g°h)(0)
raketka [301]
<h3>Answer is   -9</h3>

=================================

Work Shown:

(g°h)(x) is the same as g(h(x))

So, (g°h)(0) = g(h(0))

Effectively h(x) is the input to g(x). Let's first find h(0)

h(x) = x^2+3

h(0) = 0^2+3

h(0) = 3

So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.

Now let's find g(3)

g(x) = -3x

g(3) = -3*3

g(3) = -9

-------

alternatively, you can plug h(x) algebraically into the g(x) function

g(x) = -3x

g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)

g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3

g( h(x) ) = -3x^2 - 9

Next we can plug in x = 0

g( h(0) )  = -3(0)^2 - 9

g( h(0) ) = -9

we get the same result.

7 0
3 years ago
What is the product in simplest form state any restrictions on the variable x^2+9x+18/x+ times x^2-3x-10/x^2+2x-24?
Ostrovityanka [42]

Answer:

<u>X^4+26X^3-24X^2-100 / X^2</u>

<u>(its a fraction btw)</u>

Step-by-step explanation:

ITS THE EQUATION SIMPLIFIED :)

x2+9x+ 18 x x2−3x− 10 x2 +2x−24

= x5+26x4−24x3−10x  x3

↓↓↓↓looks like this kinda ↓↓↓↓

x^4+26x^3−24x^2−10

---------------------------------

            x^2

6 0
3 years ago
Read 2 more answers
-1/19,7/4,-4/7 least to greatest
oee [108]
Answer:

Order from Least to Greatest
-4/7  <  -1/19  <  7/4


Showing Work
Rewriting as fractions or any negatives if necessary:
-1/19, 7/4, -4/7

The least common denominator (LCD) is: 532.

Rewriting as equivalent fractions with the LCD:
-28/532, 931/532, -304/532

Ordering these fractions by the numerator:
-304/532  <  -28/532  <  931/532

Therefore, the order of your input is:
-4/7  <  -1/19  <  7/4

8 0
3 years ago
F(x) = 2(x + 4)^2 (x - 2)​
Kryger [21]

Answer:

3

Step-by-step explanation:

hope it helpz >-<

7 0
2 years ago
Read 2 more answers
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