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LuckyWell [14K]
3 years ago
11

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. !e san

dwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?
Mathematics
2 answers:
Nikolay [14]3 years ago
4 0
4.5(18-y)+7.75y=113.5
My justification fir wirting the equation like this is beacuse the total equals how many people ate over all minus how many people ate the soup. (X=18-y) y=soup x=sandwiches
81-4.5y+7.75y=113.5
We distributed
Now its time to combine like terms.
3.25y+81=113.5
I only subtracted beacuse the 4.5 was negative
Subtract 81 from both sides
3.25y=32.5
Divide by 3.25 on both sides
Y=10
Now that we have that we insert it back into the equation
x=18-(10)
So x=8
Basically, 8 sandwiches were ordered :D
mina [271]3 years ago
3 0
So if the sandwiches cost $7.75 each and the total was $113.50 that would mean that there were 14 sandwiches bought. So 14 times 7.75 is 108.50. 
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The initial number of veiws for a reader board was 25. The number of views is growing at a rate of 18% per week.
Ugo [173]
Based on the given values above, we will be able to determine the expected number of viewers after four weeks by just multiplying the number of viewers to 18% per week. So the initial is 25 for this next. So for the first week, additional of 4.5 viewers. So the total would be 29.5 Second week, additional of 5.31, and the total would be 34.81. Third week, additional 6.27, the total would be 41.08. And on the fourth week, additional of 7.39, so the expected number of viewers would be 48.47. To round this off to the nearest whole number, we can get 48 viewers. Hope this helps.
3 0
3 years ago
Read 2 more answers
Will mark Brainliest
allochka39001 [22]

Answer:

x=9

y=15

Step-by-step explanation:

it's a parallelogram, the sides parallel are equal

8 0
2 years ago
Can someone help me please????
Ilia_Sergeevich [38]

Answer:


Step-by-step explanation:

trapezium area

A=a+b/2(h)

Whole: A=8+10/2(6)

A=54 cm

Hole: 5+7/2(3)

a=18

54cm-18cm= 36

area of shaded region is 36cm.

6 0
3 years ago
How many sets of three consecutive integers are there in which the sum of the three integers equals their product?
skad [1K]

Answer:

3

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

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

0 4x² - x

- 4x² - 4x

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

0 + 3x - 3

- 3x - 3

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

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0
2 years ago
2.
scZoUnD [109]

Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.

Situation A : The number of miles Rashid drives increases over a period of 5 hours.

→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.

in next two situation , two variables are increasing with each other.

so we take last situation ↓

Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives

decreases.

→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.

thanks ❤

4 0
3 years ago
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