Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.

Answer:

a=0.62

b=7/9

c=10/9

Answer:

B. x+240=425

Step-by-step explanation:

Answer:

  x = 2

  m = 15/4

  a = 5/4

Step-by-step explanation:

When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.

We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.

  x/3 = 2/3   ⇒   x = 2

__

The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...

  a/3 = 5/(3+6+3) = 5/12   ⇒   a = 5/4 = 1 1/4 . . . . . multiply by 3

and

  m/(6+3) = 5/12   ⇒   m = 15/4 = 3 3/4 . . . . . multiply by 9

__

  x = 2

  m = 15/4

  a = 5/4

Answer:

Step-by-step explanation:

red/blue = 3/4 and you get blue/green = 4/5

= 60/4 = 15

you have 15 red shirts, 20 blue shirts, and 25 green shirts.

15/20 = 3/4

20/25 = 4/5

if you simplify 15/20, you will see that it is equivalent to 3/4

if you simplify 20/25, you will see that it is equivalent to 4/5.

The number of gallons of fuel required for 200 miles will be 6.7 gallons. The correct option is C.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Becky is planning a two 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon.

The total miles covered in two trips will be,

100 + 100 = 200 miles

The amount of fuel will be calculated as:-

Fuel = 200 /  30

Fuel = 6.7 gallons

Therefore, the fuel quantity will be 6.7 gallons.

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Answer: The cost per ticket is $1,230.

Explanation: 3,690/3 = 1,230.

Answer: The cost for each ticket is $1,230.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the angle opposite of it is 30

Answer:

g = 0

Step-by-step explanation:

4 = 2(3g + 2) ← divide both sides by 2

2 = 3g + 2 ( subtract 2 from both sides )

0 = 3g , then

g = 0

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

hope this helps .

Answer:

HOPE ITS HELP

Admission to the zoo costs $15 per person.

The graph y = 15x correctly represents the total cost for a group to visit the zoo.

Given;

Admission to the zoo costs per person = $15

Let:

The total number of people visiting the zoo = x

The total cost for a group to visit the zoo = y

So,  y ∝ x

y = 15x

Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.

Answer:

A

Step-by-step explanation:

Answer:

g≤6

Step-by-step explanation:

g≤6 inequality represents the given situation of at most.

" Inequality means an algebraic expression which represents the relation between two situation or values with the sign of > , < , ≥, ≤."

Term used

At most means 'less than to equals to' ( ≤ )

According to the question,

Given'

'g' represents the number of gold fish live in the tank

As per condition of inequality given,

Number of gold fish can live in small tank at most 6

Represent as the  term used we get,

Inequality is

g ≤ 6

Hence, g≤6 inequality represents the given situation of at most.

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Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

Answer:

20 quarters quarters 14 nickles

The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.

So,

Equation I = (3x + y = 1) and

Equation II = (6x + 2y = 2)

= { 2(3x + y) = 2}

= 3x + y = 2/2

= 3x + y = 1

So, The given equations are 3x + y = 1 and 3x + y = 1.

Thus, there is one equation in two variables.

So, the given equations have an infinite number of solutions.

Answer:

1st option; 3x-y=-1

Step-by-step explanation:

-3x + y = 1

we can divide through by -1 so that the 'x' value is positive:

3x - y = -1

Answer:

[tex]x=\frac{ab+a+b-c}{a+b}[/tex]

Step-by-step explanation:

a(x−b)+bx+c=a+b

Step 1: Add ab to both sides.

−ab+ax+bx+c+ab=a+b+ab

ax+bx+c=ab+a+b

Step 2: Add -c to both sides.

ax+bx+c+−c=ab+a+b+−c

ax+bx=ab+a+b−c

Step 3: Factor out variable x.

x(a+b)=ab+a+b−c

Step 4: Divide both sides by a+b.

[tex]\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}[/tex]

[tex]x=\frac{ab+a+b-c}{a+b}[/tex]

Hope this helped! :)

The answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

Answer:

y=1                 x=1

y = 2x – 1

replace y with x

x=2x-1

x-2x =  - 1

-x = -1

x= 1

y=x =1

The price of one chair Ben bought is $80 and he bought 6 chairs in total.

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

Given,  Ben buys a table for $240. He also buys 6 chairs that all cost the same amount.

Assuming each chair costs $x and his total cost is $720.

∴ 240 + 6x = 720.

6x = 720 - 240.

6x = 480.

x = 80

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Answer:

0.65 cents

Step-by-step explanation:

12x4=48 total

31.20/48 = 0.65 cents each

Answer:

86.55%

Step-by-step explanation:

Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:

90 × 0.20= 18

95 × 0.10= 9.5

85 × 0.25= 21.25

84 × 0.45= 37.8

Adding these numbers together, you could get 86.55, or 86.55%.

Answer:

Its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

When the data set has odd number of elements, the median is the middle value.

When a data set has an even number of elements, the median is calculated by averaging the middle two values.

Answer:

=$114.750

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

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i don't know hindi ko po alam

a and b

alam ko

Answer:

$1.07

Step-by-step explanation:

16 cups per gallon

16*3=48cups

51.36/48=1.07

Answer:

7

Step-by-step explanation:

12-(-3)-2(4)

12-(-3)-8

15-8=7

Answer:

It is 18 feet

Step-by-step explanation:

The remaining spoon of ribbon will be; 22 feet.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then

WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.

The remaining spool can be calculated by the difference;

24 feet of ribbon - 2 yards of ribbon

24 - 2 = 22

Therefore, the remaining spoon of ribbon will be; 22 feet.

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Answer:

136

Step-by-step explanation:

The formula you use is as follows:

A=2(WL+HL+HW)

You plug in each number to get this equation

A=2[(6*7)+(2*7)+(2*6)]

A=2(42+14+12)

A=2(68)

A=136