Melanie works at a frozen yogurt stand after school. The stand sells fruit and yogurt smoothies for $3.00 each and soft-serve cones for $2.00 each. On a hot summer day, the stand sold 12 more smoothies than soft-serve cones for total sales of $206. Which of the following systems of equations could be used to find s
s
, the number of smoothies, and c
c
, the number of cones the shop sold that day?

Answer:a

Step-by-step explanation:

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

Answer:

It's C

Step-by-step explanation:

Answer:

A D E Are Linear And B C F Are Non Linear.

Step-by-step explanation:

I Had The Same Question And Got This Correct.

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Answer:

140

Step-by-step explanation:

Let the number = x

Hence, the expression can be written has:

0.4 of x = 56

0.4x = 56

Divide both sides by 0.4

0.4x / 0.4 = 56 / 0.4

x = 140

Hence, 56 is 0.4 of 140

Answer:

15.8

Step-by-step explanation:

So top of 15ft + 0.8 ft = 15.8 ft

meaning the strings needs tobe 15.8 ft long

Answer:

the answer is

....9x^2 - 25

Answer:

Husfivhuisfhvkusdhvkufadhvkudshfukdahf

Step-by-step explanation:

Answer:

keep the decemal in the same place? there's not really alot to go by on your question

Answer:

keep the same sign and add the value to each number

Step-by-step explanation:

Answer:

x=-20

Step-by-step explanation:

Answer:

t= -9/10= -0.900

Step-by-step explanation:

Answer:

1/27

Step-by-step explanation:

(1/3)^3 = (1/3)(1/3)(1/3) = 1/(3x3x3) = 1/27

I hope this helped, and if it did, please mark this as brainliest! Thanks!

Answer:

simplified: 1/27

rewritten: 3^-3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Associative property:

(a+b)+c=a+(b+c)

(a*b)*c=a*(b*c)

Answer:

B. 5a-9<=11

Step-by-step explanation:

Heres a tip: ALWAYS look at the sign, if there is no line under the sign then it will always always be an open circle. also look at what way the sign is pointing so if the sign is this < then the line will go to the left

Answer: i think its 4

Step-by-step explanation:

Answer:

both I think hope u get it right

points are on the graph of the line:-

[tex]\tt{3x+2y=28 }[/tex] ⠀

we get,

[tex]\rightsquigarrow[/tex] [tex]\tt{ 2y=28-3x }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{y=\dfrac{28-3x}{2} }[/tex] ⠀

In,(0,14)

If we put the value ,x=0

y=[tex]\tt{\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }[/tex]

So,we get one point,(0,14)✔

In,(2,11)

If we put ,x=2

y=[tex]\tt{\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11 }[/tex]

so,we get another point (2,11)✔

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀

we have to find the line which are in the line!!

points are on the graph of the line:-

we get,

2y=28−3x ⠀

[tex]{y=\dfrac{28-3x}{2} }[/tex]

In,(0,14)

If we put the value ,x=0

[tex]y={\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }[/tex]

so one point is (0,14)

In,(2,11)

If we put ,x=2

[tex]y={\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11 }[/tex]

so,we get another point (2,11)

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀

Answer:

Step-by-step explanation:

b

Answer:

Last one could be either "Prove" or "CPCTC"

Answer:

Step-by-step explanation:

(==========================)

(                        12.024               )

(                        12.04                 )

(                   1,204.2                   )

(==========================)

12.024          12.04        1,204.2

=========,=========,=========

hope this helps

Answer:

Area = 40x + 15 squared units.

Step-by-step explanation:

Area of a rectangle = Length × width

Answer:

For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]

For the second: [tex]x=5[/tex]

Step-by-step explanation:

Answer:

x=17 for the first and x=5 for the second.

Step-by-step explanation:

First picture

Opposite angles of two intersecting lines are equal.

So the angle opposite the 100 degree angle on line c is also 100.

Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).

So 5x + 15 = 100

5x = 85

x = 17

Second picture

Adjacent angles add up to 180 degrees.  So the angle opposite 52 is 180-52=128.

[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]

Answer:

Dude like I just answered the previous question. Try doing it by yourself. Lol

Answer:

x=6

y=18

Step-by-step explanation:

I just took the assignment in edg ;)

Answer:

10530

Step-by-step explanation:

4050 notebooks in 5 days

                                 1 day=810

13 days=10530

please mark as brainliest!!!