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
RideAnS [48]
3 years ago
10

A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of

the dinner was $728. How many children and adults were at the party? Use the table to guess and check.
8 children and 32 adults
9 children and 31 adults
10 children and 30 adults
12 children and 28 adults
Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0

a+c=40

c=40-a

11c +20a=728

11(40-a)+20a=728

440-11a +20a=728

440+9a=728

9a = 288

a=288/9 = 32

32 adults

8 children

kherson [118]3 years ago
6 0
A + c = 40
20a + 11c = 728

Multiply equation # 1 by -11, then add the two equations together to clear the 'c' variable and solve for 'a'.

-11(a + c = 40)


20a + 11c = 728
-11a - 11c = -440
------------------------
9a  = 288
Divide both sides by 9
a = 32

a + c = 40
32 + c = 40
subtract 32 from both sides
c = 8

8 children and 32 adults; option 1
You might be interested in
Need help with finding the value of x:-<br><br><img src="https://tex.z-dn.net/?f=7x-4%3D3%2B8x" id="TexFormula1" title="7x-4=3+8
kiruha [24]

\underline{\boxed{\red{\:Solution}}}

==> 7x - 4 = 3 + 8x

==> 8x - 7x = -4 - 3

==> x = -7 [ Ans ]

5 0
2 years ago
Read 2 more answers
what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6
SCORPION-xisa [38]

Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.

Step-by-step explanation:

5 0
3 years ago
Does anyone know the answer to this problem?
Mariana [72]

The regression equation is y = 16.585x - 639.769 and the linear correlation coefficient indicates a strong linear relationship

<h3>How to determine the regression equation?</h3>

To do this, we make use of a statistical calculator;

Using the statistical calculator, we have the following summary:

  • Sum of X = 554
  • Sum of Y = 4070
  • Mean X = 69.25
  • Mean Y = 508.75
  • Sum of squares (SSX) = 725.5
  • Sum of products (SP) = 12032.5
  • Correlation coefficient, r = 0.9768

The regression equation is

ŷ = bx + a

Where:

b = SP/SSX = 12032.5/725.5 = 16.58511

a = MY - bMX = 508.75 - (16.59*69.25) = -639.76912

Hence, the regression equation is y = 16.585x - 639.769

<h3>The number of cans sold at 90 degrees F</h3>

This means that"

x = 90

So, we have:

y = 16.585 * 90 - 639.769

Evaluate

y = 852.881

Approximate

y = 853

Hence, 853 cans were sold at 90 degrees F

<h3>The linear correlation coefficient</h3>

In (a), we have:

r = 0.9768

This means that the linear correlation coefficient is 0.9768

<h3>The conclusion</h3>

We have:

r = 0.9768

The above value is closer to 1 because

|r| > 0.9

i.e.

0.9768 > 0.9

Hence, the linear correlation coefficient indicates a strong linear relationship

Read more about regression at:

brainly.com/question/17844286

#SPJ1

6 0
2 years ago
If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin
Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?  

Solution :

Applying interest formula,

A=P(1+r)^t

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

3783193=P(1+0.11)^8

3783193=P(1.11)^8

3783193=P\times 2.30

P=\frac{3783193}{2.30}

P=1641627.68

Therefore, The original amount deposit is $1641627.68.

3 0
3 years ago
Please help me factor this!! Thanks!
Goryan [66]
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4

6 + 4 = 10
6*4 = 24

So we can break up the 10ab into 6ab+4ab and then use factor by grouping

a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)

Therefore, the original expression factors completely to (a+4b)(a+6b)
5 0
3 years ago
Other questions:
  • Make sure it's fully reduced.<br><br> 2 - x = 5/8
    10·1 answer
  • 1.) A single ticket to the fair cost $6. A family pass costs $32 more
    5·1 answer
  • Identify the range of the graphed function.
    15·1 answer
  • Here is another easy question to answer: What is the mean of the data sets {41,19,29,12,49,30}, {28,22,10,30,15}, {49,24,18,53,3
    11·1 answer
  • A pet store Currently has a total of 45 cats and dogs. There are seven more cats than dogs. Find the number of cats and dogs in
    10·2 answers
  • Which sequence of rigid transformations will map the preimage ABC onto image A'B'C' ?
    14·1 answer
  • Plz help hurry it’s on the pic plz
    15·1 answer
  • In a week 13 hens laid 78 eggs what is the unit rate for eggs per hen?
    8·1 answer
  • 499,998 rounded to the nearest ten
    9·1 answer
  • Write a Pythagorean triplet whose smallest member is 6​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!