At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies. What is the price of a brownie?

Answers

Answer 1

Answer:

$[tex]$2.25[/tex]

Step-by-step explanation:

Let [tex]b =[/tex] the cost of one brownie, [tex]c =[/tex] cost of one cookie

[tex]3b + 5c = 11[/tex]

[tex]b+2c = 3.95[/tex]

Times [tex]3[/tex] on both sides on the second equation above to get the following:

[tex]3b + 6c = 11.85[/tex]

[tex]3b+6c - (3b+5c) = 11.85-11[/tex]

[tex]3b+6c-3b-5c = 0.85[/tex]

[tex]c = 0.85[/tex]

To find the value of [tex]b[/tex], use substitution:

[tex]b+2c = 3.95[/tex]

[tex]b = 3.95-2c[/tex]

[tex]= 3.95 - 2\times0.85[/tex]

[tex]= 2.25[/tex]

[tex]\therefore[/tex] the cost of a brownie is $[tex]$2.25[/tex]

Hope this helps :)


Related Questions

The equation y - 3x - 5 = 0 when written in slope-intercept form is:
y = 3x - 5.
y=-3x + 5.
O y = 3x + 5.

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

The zero seems to be a place holder to mess you up. Just ignore that it doesn't do anything. Add -3x and -5 to the both sides to create y = 3x + 5

Thirty-five less than the square of a number is the same as 2 times the number. Find the number

Answers

9514 1404 393

Answer:

  -5  or  7

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

  x^2 -35 = 2x

  x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form

  (x -7)(x +5) = 0 . . . . . factor

  x = 7  or  x = -5 . . . . solutions are values of x that make the factors zero

The number could be either -5 or +7.

Does this matrix have an inverse?why or why not ?

Answers

Answer:

C. No, because it's determinant is zero

Step-by-step explanation:

[tex]A= \begin{bmatrix} 16 & - 4\\\\ 8 & - 2\end{bmatrix} [/tex]

[tex] det(A) =\begin{vmatrix} 16 & - 4\\\\ 8 & - 2\end{vmatrix} [/tex]

[tex] det(A) = 16\times (-2)-(-4)\times 8[/tex]

[tex] det(A) = -32+32[/tex]

[tex] det(A) = 0[/tex]

This matrix have no inverse, because it's determinant is zero.

It is given a 2*2 matrix of order 2.

To find this matrix have an inverse or not.

What is determinant?

A quantity obtained by the addition of products of the elements of a square matrix according to a given rule.

The given matrix is

A= [tex]\left[\begin{array}{ccc}16&-4\\8&-2\\\end{array}\right][/tex]

det A=16*(-2)-(-4)*8=0

det A=0

So, this matrix have no inverse, because it's determinant is zero.

Learn more about determinant here:

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Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).


And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL

Answers

Answer:

As 2021 and 1927 does not have any product of primes

HCF and LCM of 2020 and 1926 is shown below

Step-by-step explanation:

2020 = 2^2 × 5 × 101

1926 = 2 x 3^2 x 107

2  is the HCF

2 x 2 x 3 x 3 x 5 x 101 x 107  = 1945260

1945260 is the LCM

2022 and 1928 both have product of primes and their HCF and LCM is

1949208 is the LCF and 2 is the HCF

1949208 - 1945260 = 3948

3948/2 = 1974

2022-1928 = 94

2020 - 1926 = 94

1974/94 = 21

and brings us back to our year again.

Happy New Year to you.

Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm

Answers

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long? ​

Answers

Answer:

3inchs

Step-by-step explanation:

So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3

True or false: sometimes, a quadratic expression cannot be factored.

Answers

Answer:

true

Step-by-step explanation:

Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?

Answers

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

Answer:

$28.75

15% of $25. is $3.75....add $25.00 + $3.75= $28.75

99+99x=0
How to solve this please help

Answers

99 + 99x = 0

Subtract 99 from both sides:

99x = -99

Divide both sides by 99

X = -1

Answer:

[tex]x = - 1[/tex]

Step-by-step explanation:

[tex]99 + 99x = 0 \\ collecting \: like \: terms \\ 99x = - 99 \\ divide \: by \: 99 \: on \: both \: sides \\ \frac{99x}{99} = \frac{ - 99}{99} \\ x = - 1[/tex]

a number that can be written as a fraction of two integers is called ___ number. it has decimal presentation that termite or repeats

Answers

Answer:

it is called an irrational number

Step-by-step explanation:

I think that this is a fact answer, so I don't know how to explain it

PLZ HELP
Do the ones you know!

Answers

the first one in the top is 180 degrees so 8(15) and 8x15=120 so x on the other side is 60.

Please Help! Will mark brainliest!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

A golfer completed 18 holes with a total of 79 strokes. On each hole, he met par, which was either four or five each time. How many holes were played in four-strokes?

Answers

Answer:

11

Step-by-step explanation:

Let a= times he hit 4 par

Let b = times he hit 5 par

a+b=18 => 4a+4b = 72

4a+5b=79

b=79-72=7

So a = 11

answer:

18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes

i hope this helps ♡♡♡

9 = 40 + 13
Helpppppp I need it due today

Answers

Its is equal to 9x6=53 Goodluck

For exercises 16-18 , trace each figure and draw its rotated image

Answers

The answer is r(b x p) d

The answer choices are
J
L
H
K

Answers

I think I know the answer but I’m not sure which point it’s asking for :(
Damons point in which he plotted is H

Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
D) 34.375

Answers

Answer: C

Step-by-step explanation:

Solve for a
-3=a+4

I need some help today

Answers

a=-7
i’m guessing that’s what it is

Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:

Answers

y-intercept: (0,2)
x-intercept: (2,0)

graphed:
Y intercept: 0,2)

X intercept (2,0)

when a load of 5 pounds is placed on a spring, its length is 6 inches, and when a load of 9 pounds is placed on the spring, its length is 8 inches. what is the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds? give units on your answer

Answers

Answer:

Four inches every four and a half pounds

The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.

What is average?

It is a measure of how much the function changes per unit, on average, over the given interval.

We have,

5 pounds loaded on a spring:

The length of the spring is 6 inches.

9 pounds loaded on a spring:

The length of the spring is 8 inches.

The average rate of change in the length of the spring as the load varies:

= (8 - 6) / (9 - 5)

= 2 / 4

= 1 / 2

= 0.5 inches per pound

Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.

Learn more about average rate of change here:

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Please helpppp me. Will give Brainlyist

Answers

SOH CAH TOA.
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent

What is 60 + 9.000000000

Answers

Answer:

69

Step-by-step explanation:

Answer:

69.000000000

Step-by-step explanation:

add 60 plus 9.000000000 and you get 69.000000000

Write the equation for the graph below. Points (-5,1) (-4,2) (-1,3)

Answers

Answer:

Concept: Derivation of Equations

Let us find the parent graph We can tell that the equation of the parent graph is [tex] \sqrt{x} [/tex]Hence we perform a transformation moving five units to the left and one unit upSo out result equation is [tex] \sqrt{x + 5} + 1[/tex]General note, if you move to the left its positive, if you move to the right its negative.If you move upwards its positive and downwards its negative.Give brainlist

Which of the following expressions is equivalent to the expression 42+90?


A. 6(7+14)

B.6(7+15)

C.7(6+12)

D.6(36+84)

Answers

Answer:

B

Step-by-step explanation:

6(7+15)

= 6(7) + 6(15)

= 42 + 90

:D it helps!

These points are linear. Find the slope.

Answers

I think the slope would be 8. The formula to find slope is y1-y2/x1-x2 so you pick two points and then do the problem, i picked points (-2, -8) and (-3, -16) and after simplifying my answer i got 8. I may be wrong though

Help me please I don’t know it

Answers

C both of these is correct

Solve for the variable in the proportion below. Type the number only. Your answer should be a whole number.

2/4 =5/x

x =

Answers

2/4 = 5/x <=>

2x = 5*4 <=>

2x = 20 <=>

x = 20/2 <=>

x = 10

Mrs. Matthews wrote three math expressions on the board.



She asked her students which expression would result in a product greater than 7.

Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
will result in a product greater than 7.

Answers

Answer:

expression 3

because expression 1 = 1

and expression 2 = 7

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

Answer:

Scott

Step-by-step explanation:

you got it right, -20 absolute value is 20

PLEASE HELP!! It’s urgent!! I will mark brainliest

Answers

Answer:

a,c,d

Step-by-step explanation:

Answer:

the answer is F, C, A

What is the domain and range of the following ordered pairs: {(-6, -7), (-1, 1), (0,
9), (3,-2)}? *
Wh
Domain: {-6, -1,0, 3} Range: (-6, -1, 0, 3}
Domain: {-7,1,9, -2} Range: {-7,1,9,-2}
Domain: {-7,1, 9, -2} Range: (-6,-1, 0,3}
Domain: {-6,-1, 0,3} Range: {-7, 1, 9, -2}

Answers

Answer:

The answer is the last option (d.)

Step-by-step explanation:

The domain is the X values and the range is the Y values.

Answer:

Answer: Domain {-6,-1,0,3} Range: {-7,1,9,-2}

Step-by-step explanation:

I took the test and it was correct.

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