On Monday, Sean bought 3 cookies and 5 cakes and spent $78.75. On Tuesday, Sean bought 8 cookies and 2 cakes and spent $40.
Find the price for one cookie and one cake.

Answers

Answer 1

Answer:

1 cookie = $1.25    1 cake = $15

Step-by-step explanation:

set up a system of equations:

let x = 1 cookie

let y = 1 cake

3x + 5y = 78.75

8x + 2y = 40

I multiplied the first equation by 2 to get:  6x + 10y = 157.50

I multiplied the second equation by -5 to get:  -40x - 10y = -200.00

If you add both equations, the y-terms will be eliminated

-34x = -42.50

x = 1.25

Plug in 1.25 into equation to find value of y:  8(1.25) + 2y = 40

                                                                           10 + 2y = 40

                                                                            2y = 30

                                                                             y = 15


Related Questions

How do I solve 1.5 to the -2 power or 1.5^-2

Answers

Answer: -3

Step-by-step explanation: hope this help

can someone help or give me the answer?

Answers

Answer:

(5,2), (9.5,70)Step-by-step explanation:

find the l.c.m of x²+x, x²-1, x²-x​

Answers

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

A certain solution of salt water is 10% salt and weighs 50 pounds., More salt must be added to produce a solution that ls
25% salt.
If x represents the pounds of salt to be added, which of the following expressions represents the number of pounds of
salt in the 25% solution?

Answers

what are do you want from me i don't even know my bad

5x+2y=10 2x+y=2
To whoever answers this you're a genius :)

Answers

Step-by-step explanation:

5x + 2y = 10

2x + y = 2, 4x + 2y = 4.

Therefore (5x + 2y) - (4x + 2y) = 10 - 4, x = 6.

=> 2(6) + y = 2, y = -10.

The solutions are x = 6 and y = -10.

find the value of x, pls show work so i know how to solve it :)))

Answers

Answer:

x=71

Step-by-step explanation:

(Base angle of an isosceles triangle)

Answer:

x = 71°

Step-by-step explanation:

Since the 2 legs are congruent then the triangle is isosceles and the 2 base angles are congruent, that is

x = 71°

Which of the following inequalities is equivalent to -6 > x?
A. x -6
D. x ≤ -6

Answers

Answer:

I think d

Step-by-step explanation:

Answer:

- At least <turn the other way. I think it should be d

Would you multiply M by the third equation (6x^5.....) since it is subtraction

Answers

Answer:

B

Step-by-step explanation:

Here, we want to get the value of m

The value of m can be obtained by multiplying the first factors of the first two polynomial, subtracting the first factor of the third and equating to 18

So what we have will be;

m * 6 - 6 = 18

6m -6 = 18

6m = 18 + 6

6m = 24

m = 24/6

m = 4

intersecting lines proof easy(15 points ) halfway done

Answers

Answer:

See below

Step-by-step explanation:

Statement                          |   Reason                                                  

1. ∠1 ≅ ∠11                          |   1. Given

2. ∠1 ≅ ∠9                          |  2. Corresponding angles theorem

3. ∠11 ≅ ∠9                         |  3. Transitive property of equality

4. a║b                                 |  4.  Corresponding angles converse

Jordan has twenty times as many baseball cards as his brother. His brother has 9 cards. How many cards does Jordan have ​

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Because 20x9=180

Please MARK BRAINLEST!!

There are 150 children at summer camp. Using the table below, what is the percentage, to the nearest whole percent, of children that did not sign up for canoeing?

Answers

Answer:

I would say around 41.3% I'm sorry if I am wrong :/

Step-by-step explanation:

62/150 around 0.413

Help me with problem 2 please

Answers

Answer:

Second choice, 11/30

Step-by-step explanation:

38 + 22 = 60

He flipped tails 22 times out of 60 tries, so it's 22/60

Simplify with 2 and it's 11/30

please someone help i can’t do math it runs in the family math is HARD!!!!!

Answers

Answer:

the 6 x 5squared(with the little two on the top)

:)

Answer:

6 * 5^2  .....  6 * 5* 5 ........ 150

Step-by-step explanation:

going left to right the top row its the 2 and 4 and the bottom row is the middle one

4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1,-5)
I
ULTS
Factor completely
5) 15m2 - 6
6) 2x2 + 5x - 10% - 25

Answers

You will have to set up a system of equations

Answer:

Please check the explanation.

Step-by-step explanation:

4)

If an equation representing a parabola is in vertex form such as

[tex]y\:=a\left(x-k\right)^2+h[/tex]

then its vertex will be at (k, h).

Therefore the equation for a parabola with a vertex at (-1, 3), will have the general form

[tex]y\:=a\left(x+1\right)^2+3[/tex]

If this parabola also passes through the point (1, -5) then we can determine the  'a ' parameter.

[tex]-5\:=a\left(1+1\right)^2+3[/tex]

simplifying the equation

[tex]2^2a+3=-5[/tex]

[tex]4a+3=-5[/tex]

subtract 3 from both sides

[tex]4a+3-3=-5-3[/tex]

[tex]4a=-8[/tex]

Divide both sides by 4

[tex]\frac{4a}{4}=\frac{-8}{4}[/tex]

[tex]a=-2[/tex]

So our equation in vertex form is:

[tex]y\:=-2\left(x+1\right)^2+3[/tex]

5)

Given the expression

[tex]15n^2-6n[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]

[tex]=15nn-6n[/tex]

[tex]\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}15\mathrm{\:as\:}3\cdot \:5[/tex]

[tex]=3\cdot \:5nn-3\cdot \:2n[/tex]

Factor out the common term 3n

[tex]=3n\left(5n-2\right)[/tex]

6)

Given the expression

[tex]2x^2+5x-10x-25[/tex]

Factor 2x²+5x: x(2x+5)

Factor -10x-25: -5(2x+5)

so the expression becomes

[tex]=x\left(2x+5\right)-5\left(2x+5\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}\left(5+2x\right)[/tex]

if 12 litres of oil cost rs 4,800 .how much will 20 litres of oil cost

Answers

Step-by-step explanation:

here

cost of 12 liters oil = RS 4800

cost of 1liter oil =rs 4800 ÷ 12 = 400

now

cost of 20 liters will be 400×20=8000

To find the answer u have to use unitary method , that is divide then multiply .so :

12l =rs4800
1L = 4800 \ 12 = 400

Therefore 20 L = 400 * 20
= 8000
Therefore 20 L OF OIL will cost rs 8000

Hope it helps u , pls mark as brainliest





The difference between Cassandra's age and Borg's age is 3 years. The sum of 8 times Cassandra's age and twice Borg's age is 94 years. How old is each

Answers

Answer:

Cassandra 10, Borg 7

Step-by-step explanation:

Let c be Casandra's age and b be Borg's age. We can set the equation c-b=3. We can also set the equation 8c+2b=94. From the first equation we get c=b+3. Substitute this for c to get 8(b+3)+2b=94. Simplify to get 10b+24=94. Subtract then divide to get Borg's age is 7. Then since Cassandra is 3 yrs older than Borg, Cassandra's age is 10

please help asap !!!!

Answers

Answer:

41.5

Step-by-step explanation

The equation is

X×65/100=27

x=27×100/65

x=27×20/13

x=540/13

x=41.5

How do you solve g(4)=

Answers

Answer:

From the given graph, it is clear that at x = 4, the corresponding y-value of the graph is y = 1

Therefore, we conclude that:

g(4) = 1

Step-by-step explanation:

Given:

A graph is given

To determine:

g(4) = ?

In other words, from the given graph, we need to determine the value of y at x=4

Finding g(4)

From the given graph, it is clear that at x = 4, the corresponding y-value of the graph is y = 1

i.e at x = 4, y = 1

Therefore, we conclude that:

g(4) = 1

The temperature on the moon can vary from -172°C to -126°C. Find the difference between the maximum and minimum temperature.


I really need step by step explaining please!! :D

Answers

Answer:

The range is 46

Step-by-step explanation:

-172 is the minimum

-126 is the maximum

subtract -126 by -172 and you get 46

A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0.25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer.

Which function describes the revenue of the tile factory in terms of tiles sold?



What is the flat fee for delivery?

$

Answers

Answer
y = 0.25x + 500

Answer:

1. f(x)=0.25x+500

2.500

Step-by-step explanation:

well, it was right, and to be honest I don't know how I got it right cause I guessed

Verify that f has an inverse. Then use function f and the given real number a to find (f-1)'(a).​

Answers

Answer:

6.

Step-by-step explanation:

f(x) = √(x - 4)      x > 4

y = √((x - 4)

Square both sides

y^2 = x - 4

x = y^2 - 4

So the inverse:

f-1(x) = x^2 + 4

f(-1)'(x) = 2x

When x = 3

f(-1)'(3) = 2(3) = 6.

Divide. Give the quotient and remainder.
4391/53

Answers

Answer:

82 R?

Step-by-step explanation:

Help. Find the sum of

-7x^2-6x+9 and -3x^2-x+7

Answers

Step-by-step explanation:

by summing them two

-9x^2 -7x + 16

A shipping box, in the
shape of a cube, has a volume of 2,300
cubic inches. Estimate the length of the side
of the shipping box to the nearest Integer

Answers

Answer:

13 inches

Step-by-step explanation:

length of side of cube: x

volume of cube = x³ = 2300

x = ∛2300 = 13.2

Find the value of x that solves the system shown below.
y = 5x
2x - y = 18

Answers

The solution to the system is x = -6, y = -30.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can start by substituting the first equation into the second equation, to eliminate y:

2x - y = 18

2x - 5x = 18 (substituting y = 5x)

-3x = 18

x = -6

Now that we know x = -6, we can use the first equation to find y:

y = 5x

y = 5(-6)

y = -30

Therefore,

The solution to the system is x = -6, y = -30.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

plzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

4x⁵ z⁸

Step-by-step explanation:

hope it helps!

.......

Answer:

4 x^5 z^8

Step-by-step explanation:

To make it easy I am categorizing this in two groups. One is (xz^3), late us name it A and the other is after the multiplication sign that is (4x^4z^5) which we are naming B. Now 4 from b multiplies 1 from a(as there is no number which means there must be 1). In multiplication of power of bases we have to add the powers which means x from a × x^4 from b= x from a's power 1 + x from b's power 4=x^5 and repeating same process in case of z resulting in z^5.

Hence the above mentioned ans comes...

Hope this helps you

Which table represents a nonlinear function?

Answers

Answer:

Choice C

Step-by-step explanation:

The only one that isn't a linear function is table C. If we take a look at table D (because it's easier and without any negatives) the x values decreases by two every time and the y values increase by 4 every time. Then when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is why this table isn't a linear function.

The only one that is a nonlinear function is table Choice C.

What is linear function?

In mathematics, linear refer to a proportional behaviour that can be modelled with a line, the functions that model this behaviour are called linear functions, and their graphs are lines.

Now, linear expression refers to an expression which has variables with an exponent equal to one.

But Nonlinear functions have a slope that varies between points.

If we take a look at table D because it's easier and without any negatives then we can see that the x values decreases by two every time and the y values increase by 4 every time.

Thus when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is not a linear function.

Learn more about the function:

brainly.com/question/2264373

#SPJ2

A ramp has a height of 5.8 feet and an angle of 80°.


What is the length of the ramp, y to the nearest tenth of a foot?

Answers

Answer:

y ≈ 33.4 ft

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Trigonometry

[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from angle measure

Angle = 80°

Adjacent = 5.8

Hypotenuse = y

Step 3: Solve for y

Substitute [cosine]:                   cos80° = 5.8/yMultiply y on both sides:          ycos80° = 5.8Isolate y:                                    y = 5.8/cos80°Evaluate:                                    y = 33.4009Round:                                       y ≈ 33.4 ft

Does this represent a function? Yes or no and explain why. (Please fast! im being timed(

Answers

Answer:

Hello

No function.There are two 7's on the x-axis. There can be 2 or more same numbers on the y-axis.

Step-by-step explanation:

Answer is No.

what is 102945766 +1649563419814

Answers

Answer
1.6496664e+12
Other Questions
change the following sentence into passive voice - she will finish the work in a fortnight Amy invests 1000 at an effective annual rate of 14% for 10 years. Interest is payable annually and is reinvested at an annual effective rate of i. At the end of 10 years the accumulated interest is 2,341.08. Bob invests 150 at the end of each year for 20 years at an annual effective rate of 15%. Interest is payable annually and is reinvested at an annual effective rate of i. Find Bob's accumulated interest at the end of 20 years. A) 9000 B) 9010 C) 9020 D) 9030 E) 9040 A word that originates in one language and is incorporated into the vocabulary of another language is a ______________. Please help!!!!!!!!!!! Read the map. A map titled Physical Features of East Asia. A key shows Lowlands in green, Highlands in yellow, and mountains with brown triangles. The Gobi desert is in Mongolia north of China. The East China Sea and South China Sea form the China coast. The Taklimakan desert is in eastern China between the Himalaya Mountains to the south and the Gobi desert to the north. The Himalayas are along the southern border between China and India. Which physical feature made trade difficult with lands north of China? the Gobi desert the Plateau of Tibet the North China Plain the Himalayas I BET EVERYONE CAN GET THIS RIGHT BUT NOT ME The local candle store marks up the price of its candles by 75% before selling them. If the store paidthe distributor $6.99 per candle, how much will a candle cost in the store? 2x+3 < x-1What is x?Please explain step-by-step. Nosotros ____ al teatro .a. voyb . Va c. vamos d. van How can I find the area for a semi circle that is 11 inches tall, 4.8 inches wide and 3.7 feet long (if Im not making to much sense, I have a reference photo here) a law is declared unconstitutional if it the constitution (C)A man, 1.4m tall, is inspecting the behavior of a bird sitting at the top of a pole of the height 43.4m. If the man is standing 143m away from the bottom of the poleon the horizontal level, at what angle is he looking at the bird? A runner went from 6 m/s and two seconds what was his acceleration send me a paragraph about friend 5713065981 if your this guy text me Artculos de la constitucin poltica de los estados unidos mexicanos estn presentes en los siguientes conceptos: *libertad *igualdad *derechos humanos *divisin de poderes *republica 6. Sharon divides a meatloaf into elevenths. How many elevenths equals the whole meatloaf? a student never fails and if so who is to be held answerable? give logical reasons to justify your answer Luna's bill for lunch at a restaurant was $11. She left a 20% tip. What was the amount of the tip? A diver dives off a 32-meter high diving board intothe water below. If the diver pushes off with an initialhorizontal velocity of 1.2 m/s, how far from the baseof the board does she land? Steam Workshop Downloader