Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500. The next week they made 1 wedding cake and 7 birthday cakes but only made $430. What is the cost of a wedding cake? What is the cost of a birthday cake?

Answers

Answer 1

Answer:

Cost of Wedding cakes = x = $150

Cost of Birthday cakes = y = $40

Step-by-step explanation:

Let us represent:

Cost of Wedding cakes = x

Cost of Birthday cakes = y

Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500.

2x + 5y = 500..... Equation 1

The next week they made 1 wedding cake and 7 birthday cakes but only made $430.

x + 7y = 430..... Equation 2

x = 430 - 7y

We substitute 430 - 7y for x in Equation 1

2x + 5y = 500..... Equation 1

2(430 - 7y ) + 5y = 500

860 - 14y + 5y = 500

860 - 500 = 14y - 5y

360 = 9y

y = 360/9

y = $40

Solving for x

x = 430 - 7y

x = 430 - 7(40)

x = 430 - 280

x = $150

Therefore:

Cost of Wedding cakes = x = $150

Cost of Birthday cakes = y = $40


Related Questions

A phone is made in five different colours with three different storage capacities. How many combinations are there?

Answers

Answer:

15 possible combinations

Step-by-step explanation:

In order to find the total number of combinations possible, we need to multiply the total number of different colors by the total number of storage capacities that each phone can have. Using the values provided we would get the following arithmetic expression...

5 colors * 3 capacities = 15

Therefore, we can see that there are a total of 15 possible combinations with these variations.

please help me with math

Answers

The answer is 12, 13 and 16

It costs $5 to buy a pen and $3 to buy a rulers If you have $50 to spend, write an inequality representing all the possible combinations of pens and rulers you could buy, then graph it.

Answers

Possible I am wrong but,

I believe it would be
5x+3y=50

5 being the price of pens
3 being the price of rulers
X being the number of pens
Y being the number of rulers
50 being the money you have
And the graph:

solve y to the third power=125

Answers

Answer:

5

Step-by-step explanation:

Please answer ASAP I need to answer this question quickly I just need the answer

Answers

Answer:

the answer is 6

hope it helps

At A local department store suits have been reduced to $36 this price is 90% off the original Price for suits given this what was the original price of the suits

Answers

Answer:

if 90% = $36

100%= ?

100%×$36

90%

3600 = $40

90

Step-by-step explanation:

you use the method of cross multiplying

Suppose y varies directly with x. If y = 4 when x = 0.4, what is y when x is 5?

Answers

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 0.4, y = 4.

=> (4) = (0.4)k, k = 10.

Hence when x = 5,

y = kx = (10)(5) = 50.

The answer is 50.

A grocery store plans to use 75% of its area for food and beverages. If the grocery store has an area of 1,600 m², what is the area used for all the other items?

A.400 m²

B.600 m²

C.1,200 m²

D.1,240 m²

Answers

Answer:

It's either 400 or 1,200.

Step-by-step explanation:

Other people are saying 400, I got 1,200 by multiplying 1,600 to 0.75 which gave me that answer. I do not know how other people got 400.

Find the distance between the points ( -9, -2 ) and ( -1, 4 )

Answers

Answer:

the distance between the two points is 10

Find the mean absolute deviation of 5,9,7,0,3,5,5

Answers

Answer: 1.92

Step-by-step explanation:

Formula to find the mean absolute deviation:

[tex]MAD =\sum^{n=i}_{n=1}\dfrac{|x_i-\overlien{x}|}{n}[/tex]

, where [tex]\overline{x}=[/tex] mean , [tex]x_i's[/tex] = data values, n= number of data values.

Given data: 5,9,7,0,3,5,5

n= 7

Mean:

[tex]\overline{x}=\dfrac{5+9+7+0+3+5+5}{7}\\\\=\dfrac{34}{7}[/tex]

MAD = [tex]\dfrac {|5-\dfrac{34}{7}|+|9-\dfrac{34}{7}|+|7-\frac{34}{7}|+|0-\dfrac{34}{7}|+|3-\dfrac{34}{7}|+|5-\dfrac{34}{7}|+|5-\dfrac{34}{7}|}{7}[/tex]

[tex]=\dfrac{\frac17+\frac{29}{7}+\frac{15}{7}+\frac{34}{7}+\dfrac{13}{7}+\frac17+\frac17}{7}\\\\=\dfrac{\frac{94}{7}}{7}\\\\=\dfrac{94}{49}\approx1.92[/tex]

Hence, the  mean absolute deviation of 5,9,7,0,3,5,5 is 1.92(approx)

Write the equation of the shown line in slope intercept form.

Answers

y= -8/2x+4, hope this helps!

Can someone please help me on number 16-ABC

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

-2x < 10

-6 < -2x

Part a) Is x = 0 a solution to both inequalities

FOR  -2x < 10

substituting x = 0 in -2x < 10

-2x < 10

-3(0) < 10

0 < 10

TRUE!

Thus, x = 0 satisfies the inequality -2x < 10.

∴ x = 0 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 0 in -6 < -2x

-6 < -2x

-6 < -2(0)

-6 < 0

TRUE!

Thus, x = 0 satisfies the inequality -6 < -2x

∴ x = 0 is the solution to the inequality -6 < -2x

Conclusion:

x = 0 is a solution to both inequalites.

Part b) Is x = 4 a solution to both inequalities

FOR  -2x < 10

substituting x = 4 in -2x < 10

-2x < 10

-3(4) < 10

-12 < 10

TRUE!

Thus, x = 4 satisfies the inequality -2x < 10.

∴ x = 4 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 4 in -6 < -2x

-6 < -2x

-6 < -2(4)

-6 < -8

FALSE!

Thus, x = 4 does not satisfiy the inequality -6 < -2x

∴ x = 4 is the NOT a solution to the inequality -6 < -2x.

Conclusion:

x = 4 is NOT a solution to both inequalites.

Part c) Find another value of x that is a solution to both inequalities.

solving -2x < 10

[tex]-2x\:<\:10[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]

Simplify

[tex]2x>-10[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]

[tex]x>-5[/tex]

[tex]-2x<10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}[/tex]

solving -6 < -2x

-6 < -2x

switch sides

[tex]-2x>-6[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2x\right)\left(-1\right)<\left(-6\right)\left(-1\right)[/tex]

Simplify

[tex]2x<6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}<\frac{6}{2}[/tex]

[tex]x<3[/tex]

[tex]-6<-2x\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}[/tex]

Thus, the two intervals:

[tex]\left(-\infty \:,\:3\right)[/tex]

[tex]\left(-5,\:\infty \:\right)[/tex]

The intersection of these two intervals would be the solution to both inequalities.

[tex]\left(-\infty \:,\:3\right)[/tex]  and [tex]\left(-5,\:\infty \:\right)[/tex]

As x = 1 is included in both intervals.

so x = 1 would be another solution common to both inequalities.

SUBSTITUTING x = 1

FOR  -2x < 10

substituting x = 1 in -2x < 10

-2x < 10

-3(1) < 10

-3 < 10

TRUE!

Thus, x = 1 satisfies the inequality -2x < 10.

∴ x = 1 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 1 in -6 < -2x

-6 < -2x

-6 < -2(1)

-6 < -2

TRUE!

Thus, x = 1 satisfies the inequality -6 < -2x

∴ x = 1 is the solution to the inequality -6 < -2x.

Conclusion:

x = 1 is a solution common to both inequalites.

The temperature on Wednesday was −5 degrees Celsius. By Friday the temperature fell to −10 degrees Celsius. Write and solve an equation that shows the change in temperature.

Answers

Answer:  -5  + (10) = 5

Step-by-step explanation:

keep change flip -5 - (-10) you get -5 + (10) = 5

(Show your work) Factor out the GCF: 6x3y2z4 - 7x2y5z

Answers

Answer:

x²y²z is the Greatest Common Factor

Therefore,

6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)

Step-by-step explanation:

Given the expression

6x³y²z⁴ - 7x²y⁵z

The first step is to factor out the greatest common factor from each term

6x³y²z⁴ = 2 · 3 · 6 · x · x · x· y · y · z · z · z · z

7x²y⁵z =  7 · x · x · y · y · y· y · y · z

So

G.C.F = x · x . y · y . z

G.C.F = x²y²z

Thus, x²y²z is the Greatest Common Factor

         

Therefore,

6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)

Helppp I NEED THIS DONE RN

Answers

Answer:

C

Step-by-step explanation:

45+5t=45
solving for t​

Answers

Answer:

t=0

Step-by-step explanation:

The first thing you want to do is isolate the varible t. So you going to subrtact the 45 from both sides, which leaves you with, 5t=0. Next you are going to divide 5 from both sides, which leaves you with t=0. To make sure its right, plug it in. 45+5(0)=45. 45=45.

DE is a midsegment of AABC . Find the value of x .
B
х
5
А

Answers

Answer:

x = 10

Step-by-step explanation:

DE is the midsegment joining the midpoints of BC and AC respectively.

Therefore, by the property of midsegment of a triangle,

DE will be parallel and half of the measure of the third side of the triangle.

DE = [tex]\frac{1}{2}(AB)[/tex]

5 = [tex]\frac{x}{2}[/tex]

x = 10 units

Given m||n, find the value of x.
+
(7x-7)°
m
(6x+11)°

Answers

Answer:

x = 18

Step-by-step explanation:

[tex](7x - 7) \degree = (6x + 11) \degree \\ (exterior \: alternate \: \angle s) \\ \\ 7x - 7 = 6x + 11 \\ \\ 7x - 6x = 11 + 7 \\ \\ x = 18[/tex]

10
If the triangles are congruent, pick the postulate that proves they are congruent. If they aren't, choose not congruent.
SSS
SAS
ASA

Answers

Answer:

SAS

Step-by-step explanation:

ok so there is one angle and 2 sides

How to solve real number arithmetic

Answers

Answer/Step-by-step explanation

1. When adding real numbers with the same sign the sum will have the same sign as the numbers added.

2. When adding real numbers with different signs you subtract the lesser absolute value from the greater one. The sum will then have the same sign as the number with the greater absolute value.

3. There are a couple of properties of addition:

The additive commutative property tells us that the order in which you add the numbers does not change the sum.

4. And the additive associative property tells us that it also that the order in which we group three or more numbers does not affect the sum.

5. The additive identity property tells us that the sum of a number and 0 is always the number.

6. And the additive inverse property tells us that if you add a number with its opposite you will always get 0

A pink crayon is mad with 12 ml of red wax for every 5 ml of white wax.

Which of the following wax mixtures will create the same shade of pink?

Choose 2 answers

Answers

Answer: Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.

Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)

Step-by-step explanation:

In one full day, 108 gallons of water seep into a pond. At this same rate, how many gallons will seep into the pond in 60 hours?

Answers

Answer:

270

Step-by-step explanation:

108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.

Could someone help? Thanks

Answers

Answer:

x = -3, y = -0.512

x = -1, y = -3.2

x = 0, y = -8

x = 2, y = -50

Step-by-step explanation:

For a ride, a taxi driver charges an initial fare of $3.00 plus $2.00 for each 1 mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?​

Answers

Answer:

12 Miles

Step-by-step explanation:

27 - 3 = 24

24 ÷ 2 = 12

true or false: All substances have the same density

Answers

Answer:

False

Step-by-step explanation:

They just don't :)

Answer:

False

Step-by-step explanation:

Trust me

PLS HELP I WILL GIVE BRAINLIEST

The graph represents Jason’s trip on the bus, showing his distance from home as a function of time. Select all statements that are true based on the graph.

A. The bus is traveling at a decreasing speed.
B. The bus traveled a total distance of 310 miles.
C. The bus traveled at a faster speed during the first 4 hours of the trip.
D.After traveling 200 miles, the bus trip has more than 3 hours remaining.
E. The bus traveled a total distance of 130 miles in the first 4 hours of the trip.
F. During the first part of the trip, the bus traveled at a constant speed of 45 miles per hour.

Answers

Answer:

A , E, F

Step-by-step explanation:

Three statements are true based on the graph the correct options are D, E,F

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

For option D, we can see in the graph the bus has completed 200 miles of distance between the 2nd and 3rd hour. So, there are more than 3hours remaining, and option D is correct

For option E, it is clear from the graph that after 4 hours the distance traveled by the bus is 130miles

For option F; the distance traveled in first 4 hours= total distance from home - remaining distance after 4 hours

310-130=180miles

time= 4hours

speed=distance/time

speed= 180/4= 45miles per hour

hence, D, E,F are true

Learn more about average speed here:

https://brainly.com/question/12322912

#SPJ6

what is the value of 4x 2 +7x−10 if x=4 pleaseeee help lol

Answers

x = 4

(4x) 2 + 7x - 10

= (4 x 4) 2 + (7 x 4) - 10

= (16) 2 + (28) - 10

= 32 + 28 - 10

= 60 - 10

= 50

Which number produces a rational number when added to 1/5?

Answers

Answer:

1/5 is a rational number

Step-by-step explanation:

"In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1."

2 + 2 + 2 + 2 + 2 + 2 = 4 × ___

Answers

Answer:

2 + 2 + 2 + 2 + 2 + 2 = 4 × 3

Step-by-step explanation:

3
4x3=12
Those ones add up to 12
Hope this helps!

2+5 x 2

O and I have to many points that why im making one up
so you guys can be SMART and a lot of you are k bye

Answers

Answer:

14

Step-by-step explanation:

14______________________________________
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