A group of friends went to Starbucks and
ordered 2 muffins and 3 cups of coffee for $22.35.
In the same coffee shop, another group of friends
ordered 4 muffins and 3 cups of coffee for $32.85.
Algebraically determine the price of one muffin and
one cup of coffee.

Answers

Answer 1

Answer:

1 muffin is 5.25 and 1 cup of coffee is 3.95

Step-by-step explanation:

32.85 - 22.35 is 10.5. 10.5 divided by 2 is 5.25 that is the cost of 1 muffin. 22.35 - 10.5 is 11.85. 11.85 divided by 3 is 3.95.


Related Questions

PLEASE HELP!!!!
NO LINKS!!!
In the circle below, find the measure of arc ED. Only input the number for
the answer. *
A
B
52°
C
E
D

Answers

Answer:

arc ed is 38 degrees

Step-by-step explanation:

dc is 90
bc is 52
ad is 180
90 + 52 = 142
180 - 142 = 38
ab (38) is the same as ed
ab = ed
ed = 38

Answer:

142

Step-by-step explanation:

the whole circle is 360 degrees.

90+52=142

180-142=38

AB=38 is the same as DE.

90+52+38+38=218

360-218=142.

Given the conditional relative frequency table by column, what does the 0.14 represent? given that a student is a 10th grader, there is a 14% chance he or she has a job. given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders.

Answers

The first option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

What is a conditional relative frequency table?

It is a special type of frequency table that shows relationships between two categories.

From the given table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,

Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.

Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.

Option D is also incorrect because we do not know the number of students.

Therefore, First option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

To get more about conditional relative frequency, refer to the link,

brainly.com/question/22728236

Answer:

A. Given that a student is a 10th grader, there is a 14% chance he or she has a job.

Step-by-step explanation:

Sara has a box of 12 greeting cards. The cards are equally divided into 3 different designs of butterflies, shells, and flowers. Sara likes all the designs. So, she reaches into the box and randomly selects a card. Which Three statements are correct?

Answers

The probability of picking a butterfly design when Sara has a box of 12 greeting cards is 1/3.

How to compute the probability?

Your information is incomplete as the statements aren't given. Therefore, an overview will be given.

From the information, Sara has a box of 12 greeting cards. The probability of picking a butterfly design will be:

= 4/12 = 1/3

The probability of picking a butterfly or flower design will be:

= 4/12 + 4/12

= 8/12

= 2/3

Learn more about probability on:

https://brainly.com/question/24756209

Makes the equation 6x – 14 + 3(2x – 1) = 5 – 2(x – 10) true? *

Answers

Bodmas 6x+14= 9x -14×1x=14-10=4 x=10

what is equivalent to x - 7 = 10

Answers

Answer:

17-7=10

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

17-7=10

name the lengths of the sides of three rectangles with perimeters of 12 units

Answers

Answer:

Rectangle 1   4, 4, 2 and 2

Rectangle 2  5, 5, 1 and 1

Rectangle 3  3.5, 3.5, 2.5 and 2.5

Step-by-step explanation:

Sonny is twice as old as Wale. Four years ago, he
was four times as old as Wale. When will the
sum of their ages be 66?

Answers

Let S be Sonny age now and W be Wale age now

[tex]S=2W[/tex]

[tex]S-4=4(W-4)[/tex]

[tex]S-4=4W-16[/tex]

[tex]S=4W-16+4=4W-12[/tex] but [tex]S=2W[/tex]

[tex]2W=4W-12[/tex]

[tex]2W-4W=-12[/tex]

[tex]-2W=-12[/tex]

[tex]W=12[/tex] ÷ [tex]2=6[/tex] years old age of Wale now[tex]S=2W=2(6)=12[/tex] years old age of Sonny now

When will the sum of their ages be 66? Let x be the number of years from now that the sum of their ages be 66, so Sonny will be [tex]12+x[/tex] and Wale will be [tex]6+x[/tex]:

[tex](12+x)+(6+x)=66[/tex][tex]18+2x=66[/tex][tex]2x=66-18=48[/tex][tex]x=48[/tex] ÷ [tex]2=24[/tex] years from now

Therefore, 24 years from now, Sonny will be [tex]12+24=36[/tex] years old and Wale will be [tex]6+24=30[/tex] years old and the sum of their ages will be [tex]36+30=66[/tex] years.

Learn more: https://brainly.com/question/1383487

Triangle DHI is translated to the left 6 units and up 5 units up. What are the new coordinates for point D'?



Question 19 options:

(3, -2)


(-1, 2)


(-2, 3)


(-3, 2)

Answers

Answer:

c=(-2,3)

Step-by-step explanation:

hope u get it right



Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors. How many combinations of 3 scoops of ice cream can Laura choosefrom?

Answers

Answer: 20 total combinations

Explanation:

Key word included in the specified question is ‘combinations’. From this, we can eliminate the usage of permutation and probability formula(s).

Let’s start:
Combination formula = nCr = n! / r! • (n-r)!
n = total # of choices
r = selected # from total choices

vanilla + chocolate + mint + raspberry + blueberry + coffee flavor

= 6 total flavors (choices)
^^ n = 6

laura wants 3 from the total # of ice cream flavors
r = 3

nCr can be substituted now that we have found ‘r’ and ‘n’

n = 6
r = 3
nCr = 6C3
= 6! / 3! • (6-3)!
= 6! / 3! • 3!
= 6•5•4•3! / 3•2•1 • 3!
(eliminate 3! from top & bottom denominator)
= 6•5•4 / 3•2•1
= 120 / 6
= 20

In general, what does it mean for a transformation to be a rigid motion? Explain.​

Answers

Answer:

A rigid motion is when an object is moved from one location to another and the size and shape of the object have not changed. Two figures are congruent if and only if there exists a rigid motion that sets up a correspondence of one figure as the image of the other.

Hope u like it

Which of the following is a composite number?

13
15
17
23

Answers

Answer:

15

Step-by-step explanation:

15= 3*5, so not prime

3+ х = х2 + 3x
rewrite by completing the square

Answers

Answer:

Step-by-step explanation:

Completing square:

3 + x = x² + 3x

x² + 3x = x + 3

Step 1: Subtract 'x' from both sides

x² + 3x - x = 3

x² + 2x = 3

Step 2: Divide the coefficeint of x by 2 and square the result

2 ÷ 2 = 1

1² = 1

Step 3: Now add 1 to both the sides

x² + 2x + 1  = 3 + 1

x² + 2x + 1 = 4

The LHS of the equation is in the form a² + 2ab + b² = (a +b)²

(x + 1)² = 2²

Take square root,

x + 1 = ± 2

x + 1 = 2      ;x + 1 = -2

     x = 2 - 1 ;     x  = - 2-1

      x = 1     ;     x = -3

Solution: x = 1,-3

The 2 in the hundreds place is _______ times greater than the value of the 2 in the tenths place.

Answers

Answer:

10 times

Step-by-step explanation:

20= tenths place

200=hundredths place

20 x 10= 200

You had 90 books on your shelf. You decided to donate 20%. How many books were donated? How many do you have left?

1. 30 donated and 88 left
2. 24 donated and 72 left
3. 18 donated and 64 left
4. 18 donated and 72 left​

Answers

The answer is the forth option
4. 18 donated and 72 left
20% of 90= 18
80% of 90=72
———————-
100% of 90=90

The sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab 2. if one addend is –5a2b2 12a2b – 5, what is the other addend? 15a2b2 – 20a2b 6ab2 – 4ab 7 5a2b2 – 20a2b2 7 5a2b2 4a2b2 6ab – 4ab – 3 –15a2b2 20a2b2 – 6ab 4ab – 7

Answers

The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab  is 15a²b²- 20a²b + 6ab² - 4ab + 7.

What is polynomial?

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The sum of two polynomials is,

[tex]10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2[/tex]

The one polynomial addend is,

[tex]-5a^2b^2 +12a^2b - 5[/tex]

Let suppose the other polynomial addend is f(a,b). Thus,

[tex](-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)[/tex]

Isolate the second polynomial as,

[tex]f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5[/tex]

Arrange the like terms as,

[tex]f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7[/tex]

Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab  is 15a²b²- 20a²b + 6ab² - 4ab + 7.

Learn more about polynomial here;

https://brainly.com/question/24380382

What is the square root of 45?

Answers

Hi the answer on a calc is 6.7082039325

Step-by-step explanation:

=3√5

thank me later....

helppppp please i need help

Answers

Step-by-step explanation:

to gat everything you have to find the Area.

to get the area you have to multiple the number 2 tims

What is the difference between a positive and negative correlation???
SHORT ANSWER

Answers

Answer:

For example, when two stocks move in the same direction, the correlation coefficient is positive. Conversely, when two stocks move in opposite directions, the correlation coefficient is negative. -- Credit Investopedia

Step-by-step explanation:

For a research study, 64 marmots were tagged and set free. Later, the researchers
returned to the site and found 36 tagged marmots out of the 900 marmots they counted. To
the nearest whole number, what is the best estimate for the marmot population?

Answers

Answer:

1067

Step-by-step explanation:

[tex] \frac{36}{64} = \frac{600}{ m} [/tex]

m=total amount of marmots

cross multiplication-

36×M = 64×600

[tex] \frac{64 \times 600}{36} [/tex]

=1066.666667

=1067 marmots

My geometry teacher doesn't really teach so I need help!

A.) g(x)=x^2 -3; find g(3)

How do I solve this? I think I'm mostly confused on what I'm supposed to do with the (x).

Answers

Answer:

g(3) = 6

Step-by-step explanation:

The right side of the equation is the part with all the information for the doing of the math.

x^2 - 3 means square the number and then subtract 3.

On the left side of the equation is the g(x). g(x) or f(x) or k(x) is literally just y. Someone could ask what is f(x)? It is y.

What is g(x)? It is y.

What is g? It is the name of the function. So instead of saying ..."the thing where you square a number and then subtract 3..." you can just say "g". Now the (x) beside g DOESNOT mean times, bc sometimes parenthesis means times. THIS IS NOT TIMES!

The (x) is like a billboard. Tells you who will be starring as x in the work on the right side of the equation.

If you see g(x)=x^2-3

then whatever is in the ( ) on the left, put that in the place of x on the right.

g() = ^2 - 3

g(12) = 12^2 - 3

g(-7) = (-7)^2 - 3

or like your question

g(3) = 3^2 - 3

do the calculation

g(3) = 9 - 3

g(3) = 6

done! Hope this helps!

Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?

Answers

Answer:

Dilate by a scale factor of 0.5 with the origin as the center of dilation.

Rotate 90° clockwise about the origin

Step-by-step explanation:

Polygon ABCD:

A = (-2, 4)B = (-8, 2)C = (-4, 8)D = (-2, 6)

Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).

This means multiply the x and y values of the points by 0.5:

A → (-1, 2)

B → (-4, 1)

C → (-2, 4)

D → (-1, 3)

Rotate 90° clockwise about the origin: (x, y) → (-y, x)

A' = (-2, 1)

B' = (-1, 4)

C' = (-4, 2)

D' = (-3, 1)

So the transformations are:

Dilate by a scale factor of 0.5 with the origin as the center of dilation.Rotate 90° clockwise about the origin.

Are
Right triangles are a subcategory of triangle
Yes or no

Answers

Yes they are subcategory

Which image below is an equilateral triangle?

Triangle A
Triangle B
Triangle C
Triangle D

Answers

Answer:

A

Step-by-step explanation:

The definition of an equilateral triangle is one that has equal angles and equal sides. Of all of the pictures, Triangle A is the only one to have equal length sides.

A) have a wonderful day

60,582,876+85,632,895

Answers

Answer:

answer 100%100 is 146215771

I need help please, You survey a random sample of 75 students at DPMS. Of those students, 30 said their favorite type of music is rap. Out of 1600 students at DPMS, predict the number of students whose favorite type of music is rap.

Answers

The predicted number of students is an illustration of ratios

Of the 1600 students, 640 are expected to have a rap as their favorite type of music

How to predict the number of students?

The given parameter can be represented using the following ratio:

Ratio = Rap : Total Students

So, we have:

30 : 75 = Rap : 1600

Express as fraction

30/75 = Rap/1600

Multiply both sides by 1600

Rap = 640

Hence, 640 of the 1600 students are expected to have a rap as their favorite type of music

Read more about ratio at:

https://brainly.com/question/1781657

Which statement compares the absolute value of -1/2 and 2/5

Answers

Answer:

i have no idea

Step-by-step explanation:

The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples! (5 points)

Answers

Pythagorean triples are 3 whole numbers which satisfy the Pythagorean theorem when they make up the sides of a right angled triangle.
For the numbers 3, 4 and 5, let 5 be the length of the hypotenuse (AC, of triangle ABC in which B is a right angle), and 4 and 3 be the lengths of the other 2 sides of the triangle (AB and AC).
According to the Pythagorean theorem,
=

25 = 9 + 16
25 = 25
Since 3, 4 and 5 satisfy the criteria, they are Pythagorean triples.
Similarly, for the numbers 8, 15 and 17, let 17 be the length of the hypotenuse (PR, of triangle PQR in which Q is a right angle), and 4 and 3 be the lengths of the other 2 sides of the triangle (PQ and QR).


289 = 225 + 64
289 = 289
Since 8, 15 and 17 satisfy the criteria, they are also Pythagorean triples.

NAME:
6. This equation is the conversion formula to change the units for measuring
temperature from degrees Fahrenheit to degrees Celsius.
C = (F-32)
Which expression best describes the variables C and E?
A C varies inversely to F
B. C is dependent on F.
Fis dependent on C.
D. Fvaries inversely to C.
7. At a farmer's market, strawberries are priced at 4pounds for $8.

Answers

My thinks are b

I might be wrong because I haven’t learned this but I just did it

Can you answer them for me in a simple way so I can finish learning for my test who ever does it I appreciate there hard work ?
Thank you

Answers

Answer:

13:192 in2

Step-by-step explanation

with the pythagoras theorem you can find the base =6

base x height /2= area =24

two triangles=24.2 =48

square one side =12

area=12.12=144

area of the shape = 144+48=192

Using the pythagorean theorem, we can calculate the base of the right triangle to be 6 (1 triangle)

-> The triangle's base length is 12.

So, the square's length is also 12.

We can now calculate the area of the figure : 12 x 12 + 12 x 8 : 2 = 192 in2

what point can be used to create a right triangle the āb as its hypotenuse

Answers

Do you really feel fly in true religion
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