Grace, Jessica and Mia went out to dinner after the Volleyball game. Jessica bought two tacos, a coke and a mango smoothie and spent $14.74. Grace bought Mia's dinner. She bought 5 tacos, 2 cokes and 1 mango smoothie and spent $29.05. The mango smoothie cost three times as much as the coke. Determine the price of each item. Answer in a complete sentence.

Answer:

a = 3

Step-by-step explanation:

Here you can use the cross multiplication strategy or whatever it's called. That's where you multiply the diagonals together. Its kinda long to explain, but you can google it for details.

In either case, you get the following equation:

8(2a-1) = 4(a+7)

Open the parenthesis

16a - 8 = 4a + 28

Subtract 4a from both sides

12a - 8 = 28

Add 8 to both sides

12a = 36

Divide both sides by 12

a = 3

Sorry for weird formatting I'm on an ipad.

Answer:

Your answer is: A = 3

Solve for  a  by cross multiplying.

Step-by-step explanation:

Hope this helped : )

Step-by-step explanation:

The Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...I think.. Hope it is right...;3

Answer:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).

Step-by-step explanation:

Answer:don’t know if it’s right but here

Step-by-step explanation: okay so first you need to know is that, that triangle it a 90 degrees so you put 90 degrees minus 45 it will equal to 45 because 45+45= 90 degrees but if the question says put degrees then put it if not then don’t put it.

Hope it helped

Answer:

n = 8, m = 11.313

Step-by-step explanation:

Step-by-step explanation:

use the respective formula and solve according to the image

Answer:

94% not sandy beach

1.8km is sandy beach

Step-by-step explanation:

30 = 100%

÷ 100 both sides

0.3 = 1%

× 6 both sides

1.8 = 6%

Answer:

Your answer is 27

Step-by-step explanation:

4 x 3 = 12

5 x 3 = 15

12 + 15 = 27

Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of OA' to OA , that is

scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{3+9}{3}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

Subtract 3

Step-by-step explanation:

The first operation that should be done first in the expression 5x + 3 = 28 is subtracting 3 from both sides.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, 5x + 3 = 28.

The first operation that should be done first is subtracting 3 to both the side of the equation to separate the variable x and the constant term.

∴ 5x + 3 - 3 = 28 - 3.

5x = 25.

x = 5.

learn more about numerical expression here :

https://brainly.com/question/14642484

#SPJ2

Answer:

Add the square of half of the coefficient of [tex]x[/tex] to both sides

[tex]\left(-\dfrac92\right)^2=\dfrac{81}{4}[/tex]

Completing the square:

Rewrite  [tex]x^2-9x+2=0[/tex]  in the form  [tex]y=(x-b)^2 +c[/tex]

Add the square of half of the coefficient of [tex]x[/tex] to both sides:

[tex]\implies x^2-9x+2+\left(-\dfrac92\right)^2=\left(-\dfrac92\right)^2[/tex]

[tex]\implies x^2-9x+2+\dfrac{81}{4}=\dfrac{81}{4}[/tex]

[tex]\implies\left(x-\dfrac92\right)^2 +2=\dfrac{81}{4}[/tex]

[tex]\implies\left(x-\dfrac92\right)^2 +2-\dfrac{81}{4}=0[/tex]

[tex]\implies\left(x-\dfrac92\right)^2 -\dfrac{73}{4}=0[/tex]

[tex]\implies\left(x-\dfrac92\right)^2 -\dfrac{73}{4}=0[/tex]

The side lengths that make the area of rectangles as modelled are -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

A function is a elation between a dependent and independent variable.

Given is to identify the correct side lengths of the figures.

We can write the side lengths as -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

Therefore, the side lengths that make the area of rectangles as modelled are -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

To solve more questions on functions, visit the link-

brainly.com/question/29014197

#SPJ2

The volume of the rectangular prism will be  [tex]V=1.26m^{3}[/tex]

Given that

[tex]\rm Lenth \ of \ the \ rectangular \ prism =1.4\ m[/tex]

[tex]\rm width\ of \ prism=0.5\ m[/tex]

[tex]\rm Height \ of \ prism=1.8\ m[/tex]

[tex]\rm Volume \ of \ the \ Rectangular \ Prism= L\times W\times H[/tex]

[tex]V=1.4\times 0.5\times1.8=1.26 \ m^{3}[/tex]

Thus the volume of the rectangular prism will be  [tex]V=1.26m^{3}[/tex]

To know more about the volume of the rectangular prism follow

https://brainly.com/question/24284033

Answer:

12

Step-by-step explanation:

Perimeter is using addition and if its a square, all of the sides are the same.

If one side = 3 cm, then 3cm + 3cm + 3cm + 3cm=12 cm

Answer:

12

Step-by-step explanation:

A square with 3cm long side

Area = 2 sides multiplied

Perimeter = All sides added

3 + 3 + 3 + 3 = 12cm

or

3 × 4 = 12cm

Answer:

Step-by-step explanation:

Which ways?

Answer:

1.95

Step-by-step explanation:

87

Step-by-step explanation:

the picture is upsidedown

Given :

Marvelous Meals charges $700 plus $35 per person. Posh Parties charges $425 plus $50 per person.

To Find :

Which company will cost less.

Solution :

Let, after x people Marvelous Meals charge less than Posh Parties :

So, 700 + 35x < 425 + 50x

275 < 15x

x > 18.33 i.e x > 18

Therefore, after 18 people Marvelous Meals charge less than Posh Parties.

Hence, this is the required solution.

Answer:

-3

Step-by-step explanation:

We are trying to find where the solution is for the systems of equations. This happens when the 2 graphs intersect.

We see that one of our intersection points is (-1, 0), or x = -1 and y = 0.

The other intersection point is (-4, -3), or x = -4 and y = -3.

Therefore, our answer is the 2nd option, -3.

Answer:

-3

Step-by-step explanation:

Answer:

a) [tex]a_{n}[/tex] = 13.8 + 0.2n

Step-by-step explanation:

Given :-

a = 14

d = 0.2

To Find :

[tex]a_{n}[/tex]

Solving :-

[tex]a_{n}[/tex] = a + (n - 1)d

[tex]a_{n}[/tex] = 14 + 0.2n - 0.2

[tex]a_{n}[/tex] = 0.2n + 13.8

Solution :-

a) [tex]a_{n}[/tex] = 13.8 + 0.2n

Answer:

.0015995734

Step-by-step explanation:

6 divided by 3,751 is the solution above. please mark as brainlest.

Answer:

625 r1

Step-by-step explanation:

3751÷6=625

625×6=3750+1=3751

Well knowing that around

at age 40 giving birth to a child with down syndrome is about 46% or 47%

but at age 45 I'm pretty sure it's 3%

Hope this helps!

Check the picture below.

Answer:

irrational numbers

pi belongs to the set of irrational numbers

Answer:

i

I hope this helps!

Answer:

See photo below

I hope this helps!

Answer:

The custodian will be able to repaint 7 bookcases with the amount of paint.

Step-by-step explanation:

The custodian  has  5 1/4 gallons of  paint, to find the number of bookcases the custodian will be able to repaint with this amount of paint if each bookcase requires 3/4 gallons, then we will simply divide 5 1/4 by 3/4 to give  us the number.

But first we need to change 5 1/4 to improper fraction,

thus; 5 1/4 =  

5 1/4 ÷3/4   =   ÷

(We will want to change the division sign to multiplication, to do that, we will have to take the inverse of 3/4 which is 4/3 hence;

                   = ×

4 will cancel out 4 hence;

                    =

                    = 7

Therefore the custodian will be able to repaint 7 bookcases with the amount of paint.

Answer: 4000

Step-by-step explanation:

If for example 5 is 1% of what number, you would multiply that by 100/1 and multiply that by 5.

For 36 is 0.9% of what number, you would multiply the 36 by 100/0.9 and multiply that by 36.

100/0.9 is 111.11 and 111.11 x 36 is 4000, so 4000 would be your answer.

Answer:

41.5

23.5

Step-by-step explanation:

Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:

x - y = -18

Now solve equation B for x to get the revised equation B:

x = -18 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

-18+y+y=65

-18 + 2y = 65

2y = 83

y = 41.5

Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:

x + y = 65

x + 41.5= 65

X = 23.5

DIfference : 23.5 - 41.5 = 18

Sum: 41.5 +23.5 = 65

Hence, The two number are 23.5 and 41.5

[RevyBreeze]

Answer with step-by-step explanation:

m = 0.8

Firstly, we have to see how many M's we are dividing. On the image, it shows 2m + 2m + m + m = 6m. Then, we divide 6 by 4.8, since is would give us the correct value of m. 4.8 ÷ 6 = 0.8.

Hope this was helpful! (brainliest please)

Answer:

its the second one

Step-by-step explanation: