Annabelle went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 30 grams of sugar and each bottle of juice has 1o grams of
sugar. Annabelle purchased 3 times as many bottles of juice as bottles of soda and
they all collectively contain 120 grams of sugar. Graphically solve a system of
equations in order to determine the number of bottles of soda purchased, T, and the
number of bottles of juice purchased, y.

Answer:

Step-by-step explanation:

The normal price of the sweatshirt will be $21.50 because if you divide $78.75 by 5 you get $15.75 for each sweatshirt then you add the $5.75 with will make the original price $21.50

Answer:

25.50

Step-by-step explanation:

You take 106.25 divided by 5 and you get the marked down price of one sweatshirt which is 21.25 so then you add 4.25 to that price and get 25.50.

Answer:

I think the first one is 4 and the second one is 2

Step-by-step explanation:

Answer:

30 cm

Step-by-step explanation:

Answer:

12 and 12

Step-by-step explanation:

Answer: Just dropout

Step-by-step explanation: What kinda classes are you taking

Answer: do it by your self and marry Christmas you filthy animal.

Step-by-step explanation:

Unit rate = cost / quantity

Lower unit rate is better deal.

3.50/10 = 0.35

2.40/6 = 0.40

The original 10 for 3.50 is the better deal.

Answer:

As we know that

Unit = Rate/Quantity

[tex] \tt \: \dfrac{3.50}{10} = 0.35[/tex]

[tex] \tt \dfrac{2.40}{6} = 0.40[/tex]

The original deal was better because it was cheap than new deal.

Answer:

1,5,9,13,17,21,25,29

Step-by-step explanation:

From the information given.

Let represent the number of white beads with x and the number of blue beads with y. So, the beads can be illustrated as:

bead   color

1             x

2            y

3            y

4            y

5            x

6            y

7            y

8            y

Suppose n denotes the no. of beads that are white.

Then the subsequent no is ( n + 4).

Since the first number n = 1

Then the subsequent numbers will follow the pattern of adding 4 to the number.

i.e.

n = 1 + 4 = 5

n = 5 + 4 = 9

n = 9 + 4 = 13

n = 13 + 4 =1 7

n = 17 + 4 = 21

n = 21 + 4 = 25

n = 25 + 4 = 29

Thus, the number for the first eight beads that are white are:

1,5,9,13,17,21,25,29

The pattern shows odd numbers only.

Answer:

15 and 8

Step-by-step explanation:

Answer:

k = 1

Step-by-step explanation:

so we basically have to solve for k

13 = 4k + 9

subtract 9 from both sides

4 = 4k

divide both sides by 4 to get k by itself

4/4 = 1

4k / 4 = 1k = k

1 = k

hope this helps <3

Answer:

1. The fraction is 11/9

Step-by-step explanation:

You didn't specify which ones you need help with so I'm answering the first one for you.

let x=1.2 —equation 1

10x=12.2 —equation 2

subtract equation 1 from 2

10x-x=12.2-1.2

9x=11

x=11/9

Answer: 3.35

i think

Step-by-step explanation:

Answer:

The height of right circular cone is h = 15.416 cm

Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: [tex]s=\pi r\sqrt{r^2+h^2}[/tex]

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

[tex]s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416[/tex]

So, the height of right circular cone is h = 15.416 cm

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

Answer:

actually it is a simultaneous equation from linear combinations

Answer:

sarah is a slow reader.....51/17=3

so she reads 3 pages per day

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 9y^2 -22y-24}[/tex]

Step-by-step explanation:

[tex]\sf (3y-1)^2 -(2y+4)^2+(2y-3)(2y+3)\\\\Using \ formula:\\\\1) (a-b)^2 = a^2-2ab+b^2\\\\2) (a+b)^2= a^2+2ab+b^2\\\\3) (a+b)(a-b) = a^2-b^2\\\\Applying \ Formulas\\\\(3y)^2-2(3y)(1)+(1)^2-[(2y)^2+2(2y)(4)+(4)^2]+(2y)^2-(3)^2\\\\9y^2-6y+1-[4y^2+16y+16]+4y^2-9\\\\9y^2-6y+1 -4y^2-16y-16+4y^2-9\\\\Combining \ like \ terms\\\\9y^2-4y^2+4y^2-6y-16y+1-16-9\\\\9y^2 -22y-24\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

a) [tex]\frac{1}{3}[/tex] k² - 9

b) -7y² - 3

Step-by-step explanation:

a) ([tex]\frac{2}{3}[/tex] k - 6)² - ([tex]\frac{1}{3}[/tex] k + 3)²

  = [tex]\frac{4}{9}[/tex] k² - 36 - [tex]\frac{1}{9}[/tex] k² + 9

  = [tex]\frac{4}{9}[/tex] k² - [tex]\frac{1}{9}[/tex] k² + 9 -36

  = [tex]\frac{3}{9}[/tex] k² - 27

  = [tex]\frac{1}{3}[/tex] k² - 9

____________________________________

b) (3y - 1)² - (2y + 4)² + (2y - 3) (2y + 3)

  = 9y² - 1 - 4y² + 16 + (2y - 3) (2y + 3)

  = 9y² - 4y² - 1 + 16 + (- 3) (4y² + 6y)

  = 5y² + 15 - 12y² - 18

  = 5y² - 12y² + 15 - 18

  = -7y² - 3

Hope this helps!

(NOTE: Do you mind marking me as Brainliest?)

Answer:

x = 7

Step-by-step explanation:

From the above question, we are told that:

∠A and ∠B vertical angles.

It is important to note that vertical angles are equal to each other

Hence:

∠A = ∠B

From the question,

∠A = (5x−2)°

∠B = (3x+12)°

Hence:

(5x−2)°= (3x+12)°

5x - 2 = 3x + 12

Collect like terms

5x - 3x = 12 +2

2x = 14

x = 14/2

x = 7

Answer:

X=14

Step-by-step explanation:

Understanding:

The sum of a geometric series is, [tex]a+ar+ar^2+ar^3+...[/tex], with a being the start point and r is the common ratio. We can also use the following formula to make life easier [tex]S_n=a\frac{1-r^n}{1-r}[/tex], a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

Solution:

Our start point is 1, [tex]a=1[/tex],

The common ratio is 5, [tex]r=5[/tex],

And finally, the number of terms is 7, [tex]n=7[/tex].

[tex]S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531[/tex]

The answer is [A] 19531.

Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser

what is the price of the chian

Step-by-step explanation:

x+x+x+x+2.5(2)+3(2)=x+x+2.5+3(3)

4x+5+6=2x+2.5+9

4x+11=2x+11.5

-11         -11

4x=2x+0.5

-2x    -2x

2x=0.5

x=0.25

The equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3

Given:

Each triangle = 2.5 pounds

Each circle = 3 pounds

Each square = x pounds

The hanger has two sides

Side 1:

squares = 4

Triangle = 2

Circle = 2

Side 2:

Squares = 2

Triangle = 1

Circle = 3

The equation:

side A = side B

4(x) + 2(2.5) + 2(3) = 2(x) + 1(2.5) + 3(3)

4x + 5 + 6 = 2x + 2.5 + 9

4x + 11 = 2x + 11.5

x + x + x + x + 11 = x + x + 11.5

Therefore, equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3

Read more:

https://brainly.com/question/16450098

Answer:

time the number together

Step-by-step explanation:

Answer:

The ratio 90: 105 is not equivalent to 15: 18 ⇒ C

Step-by-step explanation:

Let us simplify the given ratio to its simplest form first

∵ The ratio is 15: 18

∵ 15 and 18 have a common factor 3

→ Divide each term of the ratio by 3

∴ [tex]\frac{15}{3}[/tex] : [tex]\frac{18}{3}[/tex] = 5: 6

∴ The simplest form of ratio 15: 18 is 5: 6

Let us find which choice will not give us the same ratio 5: 6

∵ 60: 72 have a common factor 12

→ Divide each term of the ratio by 12

∵ [tex]\frac{60}{12}[/tex] : [tex]\frac{72}{12}[/tex] = 5: 6

∴ The simplest form of ratio 60: 72 is 5: 6

∴ The ratio 60: 72 is equivalent to 15: 18

∵ 35: 42 have a common factor 7

→ Divide each term of the ratio by 7

∵ [tex]\frac{35}{7}[/tex] : [tex]\frac{42}{7}[/tex] = 5: 6

∴ The simplest form of ratio 35: 42 is 5: 6

∴ The ratio 35: 42 is equivalent to 15: 18

∵ 90: 105 have a common factor 15

→ Divide each term of the ratio by 15

∵ [tex]\frac{90}{15}[/tex] : [tex]\frac{105}{15}[/tex] = 6: 7

∴ The simplest form of ratio 90: 105 is 6: 7

∴ The ratio 90: 105 is not equivalent to 15: 18

Answer:

In think is the first one

Answer:

10

Step-by-step explanation:

7*2 - 2*2 = 14 - 4 = 10

Plz mark as brainliest!

Answer:

10

Step-by-step explanation:

Answer:

$61.25

Step-by-step explanation:

Given that:

There are 5 persons (Martha and 4 other friends)

Fee for admission for each person = $3.50

Price for snacks for each person = $2.50

Price for drinks for each person = $1.50

Price for frappucino for each person = $4.75

All the money was paid by Martha.

To find:

Total money paid by Martha.

Solution:

First of all, let us find the total cost for one person.

Total cost for one person = $3.50 + $2.50 + $1.50 + $4.75 = $12.25

There are a total of 5 persons.

Therefore total cost = $12.25 [tex]\times[/tex] 5 = $61.25

Total money paid by Marth = $61.25