A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, they sold 78 drinks for a total of $252.



How many cappuccinos were sold?

Answers

Answer 1
Answer: 60 cappuccinos were sold.

Explanation:
x = number of lattes sold
y = number of cappuccinos sold

Two equations can be set up:
x + y = 78
4x + 3y = 252

The first equation can be rearranged and substituted into the other equation to find the value of a variable.

y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18

To find y, the value of x can be substituted into either equation.

x + y = 78
18 + y = 78
y = 60

To check answers, substitute both values into the original equations and make sure they work.

x + y = 78
18 + 60 = 78
78 = 78

4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252
Answer 2

Number of sold cappuccinos will be 60.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A coffee shop sells lattes for $4 and cappuccinos for $3.

Last Friday, they sold 78 drinks for a total of $252.

Now,

Let number of lattes = x

Number of cappuccinos = y

Since, Last Friday, they sold 78 drinks.

So, we can formulate;

x + y = 78   ... (i)

And, Last Friday, they sold 78 drinks for a total of $252.

So, we can formulate;

4x + 3y = 252 ... (ii)

Solve equation (i) and (ii) we get;

x + y = 78

4x + 3y = 252

Multiply by 4 in equation (i) and subtract from (ii) we get;

4x + 3y - 4x - 4y = 252 - 312

- y = - 60

y = 60

And, x + y = 78

x + 60 = 78

x = 18

Thus, Number of sold cappuccinos will be 60.

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Related Questions

Transpose for p
w = p + cg

Answers

Answer:

p = w - cg

Step-by-step explanation:

w = p + cg ( isolate p by subtracting cg from both sides )

w - cg = p

is -3.625 a irrational number

Answers

No it’s not. Irrational numbers are numbers which cannot be expressed as fraction of two integers and have a decimal/fractional segment that recurs.

You have 30 chocolate candy but Jayna has 10 more chocolate candy than you and Amy has A what does A equal to ?

Answers

Answer:

40

Step-by-step explanation:

so it is just like a regular equation like 30+10=40 but your just finding what A means so 40 yea

Volume can be found by using the formula: volume = lwh.l = 4, w = 8, and h = 5Volume =

Answers

Answer:

160=volume

Step-by-step explanation:

if l*w*h=volume, and l=4, w=8, and h=5. then we can get an equation:

4*8*5=volume

simplify to get your answer

160=volume

What is the domain of f?

Answers

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

What should you do to get both numeric terms on the right side of the equation?

Answers

Answer: To Get both numeric terms on the right side, for example add 16 to both sides of the equation

Happy To help ;)

Step-by-step explanation:

solve please i need this fast

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Answer:

Step-by-step explanation:

b)

Solve the equation. 9 ( − 2 ) =

Answers

Answer:

- 18

Step-by-step explanation:

9 ( - 2 )

= 9 x ( - 2 )

= - 18

Therefore, - 18 is the answer of the given equation.

Answer:

-18

Step-by-step explanation:

the parentheses mean to multiply, so 9 times 2 is 18, but since it is a negative and a positive that you're multiplying, then it would be negative 18

Can someone help solve?

Answers

The slope will be -2/5

what is the slope of the line?

Answers

Answer:

Slope = -3

Step-by-step explanation:

From (-1,0) to (0,-3), the line has a change of -3/1 (change in y/change in x) or -3

1. Find two points on the line:
(-1, 0) and (0, -3)

2. Calculate the slope

slope = change in y / change in x

0 - -3 = 3
-1 - 0 = -1
3 / -1 = -3

The slope is -3

it takes 2/3 of an hour to paint 2/5 of a room

Answers

Answer:

1 and 2/3 hours or 5/3 hours

Step-by-step explanation

1/3 of an hour would be 1/5 of the room so you would just make it 5/3 hours  and it'd be the whole room

Which segment is a dilation of BC using A as the center of dilation and a scale factor of 2/3

Answers

Answer: 45

Step-by-step explanation:

5*95 math question ...................

Answers

Answer:

475

Step-by-step explanation:

the reason for this is because it just is

Solve for x. PLEASE GIVE EXPLAINED WORK FOR IT

Answers

Answer:

x = 9

Step-by-step explanation:

7x - 25 = 4x + 2 (vertical angles)

7x - 4x = 2 + 25

3x = 27

x = 27/3

x = 9

4(9) + 2 = 38 degrees


A box of 15 cookies costs $9.
What is the cost for 1 cookie?
$_____

Answers

Answer:

15 box of cookies =$9

1 box of cookie = $9/15=$0.6

Answer:

.6

Step-by-step explanation:

9÷15 = 0.6

please do this for me

Answers

2x+3+51 = 100
2x+54=100
2x= 46
X=23

HELPP FAST im tired and it's due realy really really soon

Answers

Answers:

The linear inequality is 2y - 3x >_ -2

Biancas number line is C

The figure is a triangle that is divided into two parts. Angle A and angle E are right angles and the measure of angle F is 30 degrees. What is the measure of angle C? Complete the steps below to solve the problem using equations.

Part A
Let the variable g represent the measurement of angle G. Write and equation that you can use to solve for g.

Part B
What is the measurement of angle G?

Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c.

Part D
What is the measurement of angle C?

Answers

Answer:

Part A) g + 30 + 90 = 180

Part B) G = 60 degrees

Part C) c + 60 = 180

Part D) C = 120 degrees

Step-by-step explanation:

Part A: If angle F is 30 degrees and E is 90, then we can easily find G using the fact that the sum of a triangle is 180 degrees.

g + f + e = 180

g + 30 + 90 = 180

Part B: g + 30 + 90 = 180

g + 120 = 180

g = 60

Part C: Since G and C are on the same line and just separated by another line, we can use supplementary angles to find C.

c + g = 180

c + 60 = 180

Part D: c + 60 = 180

c = 120

Answer:

A:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.

Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.

B:Solve the equation from Part A to find the measurement of angle G:

90° + 30° + g

180° – 90° – 30°

Angle G measures 60°.

C: Angle C and angle G are supplementary angles. The sum of supplementary angles is 180°. If c and g are the measurements of angles C and G, respectively, then c + g = 180°.

The value of g is 60°. Substitute 60° in the equation to get an equation in terms of c:

c + 60° = 180°.

D:Solve the equation from Part C to find the measurement of angle C:

c + 60°

=  180°

c

=  180° – 60°

c

=  120°.

Angle C measures 120°.

the exact answer from edmentum

Step-by-step explanation:

Can i get a step by step for this?

Answers

Answer:

x=86

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

we can use this to get a problem: x+52+42=180

simplify to get:

x+94=180

subtract 94 from each side to get your answer:

x=86

convert to standard form 2.9x10 to the power of 3 plssss help

Answers

Answer:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

[tex]2.9[/tex] × [tex]10^3[/tex]

But, if you need to write it in scientific notation, the answer is 2,900.

Which equation is equivalent to 0.3y +0.4(25 - y) = 6.8 ?

Answers

Answer

y = 32

Step-by-step explanation:

Let's solve your equation step-by-step.

0.3y+0.4(25−y)=6.8

Step 1: Simplify both sides of the equation.

0.3y+0.4(25−y)=6.8

0.3y+(0.4)(25)+(0.4)(−[tex]\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}[/tex]y)=6.8(Distribute)

0.3y+10+−0.4y=6.8

(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)

−0.1y+10=6.8

−0.1y+10=6.8

Step 2: Subtract 10 from both sides.

−0.1y+10−10=6.8−10

−0.1y=−3.2

Step 3: Divide both sides by -0.1.

-0.1y/-0.1=-3.2/-0.1

y=32

I hope this helps?

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.


Which best describes why the function is nonlinear?

The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Answers

Answer:

C

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Number of tree purchased                            Total Cost ($)

               1                                                                 60

               2                                                                120

               3                                                                180

               4                                                                240

               5                                                                290

For the linear function rate of change is constant.

Now, between 2 and 3 trees rate of change is given by

Now, between 3 and 5 trees rate of change is given by

This is clearly that the rate of change isn't constant. Therefore, the function is non-linear.

so,

d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

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Can someone help me?

Answers

Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

A = { a^2  = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= (  { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

Refer to Exhibit 11-4. If a person's taxable income is $50,000, how much does he pay in taxes?
$9,250
$10,110
O $15,000
O $12,500

Answers

Based on the exhibit attached, we can calculate that a person earning $50,000 will pay $9,250.

People earning $50,000 fall into the $42,001 - $100,000 bracket which means that they pay $7,250 + 25% of everything over $42,000.

The amount of taxes is:

= 7,250 + ( 25% x (50,000 - 42,000))

= 7,250 + (25% x 8,000)

= $9,250

In conclusion, the person would pay $9,250 in taxes.

Find out more at https://brainly.com/question/219730.

There were 25 vocabulary words on the quiz. Megan got 60% correct. How many did she get correct?​

Answers

Answer:

15

Step-by-step explanation:

25=100º

x=60

[tex]\frac{25}{x}=\frac{100}{60}[/tex]

[tex]\frac{x}{25}=\frac{60}{100}[/tex]

x=15

what is

4 divided by 1/5

3 divided by 2/3

3 divided by 3/4

4 divided by 2/5

9 divided by 1/2

7 divided by 1/12

5 divided by 2/6

2 divided by 1/4​

Answers

Step-by-step explanation:

0.50.9divides very well

Answer:

1. 4  divided by 1/5 = 20

2. 3 divided by 2/3= 9/2

3. 3 divided by 3/4= 4.5

4. 4 divided by 2/5= 10

5. 9 divided by 1/2= 18

6. 7 divided by 1/12= 84

7. 5 divided by 2/6= 15

8. 2 divided by 1/4= 8

Step-by-step explanation:

i used my fraction calculator

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: -15

Step-by-step explanation: in the picture

Step-by-step explanation:

Basically,

expand the brackets; multiply everything in the bracket by -3,

-3(x+5)=-3x+-15

= -3x-15

There ya go, hope this helps...

evaluate the expression 1/4[x(2y+3z)] x=8 y=3z=5/3​

Answers

Answer:

Step-by-step explanation:

x = 8  ; y = 5/3

[tex]3z = \dfrac{5}{3}[/tex]

[tex]\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10[/tex]

Find the difference. 8.6 − 2.87

Answers

Answer:

5.73

Step-by-step explanation:

The difference is 5.73.

Due tomorrow i need help please

Answers

Answer:

(-6,9)

Step-by-step explanation:

You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.

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