Consuelo is buying flavored coffee and plain coffee. the total amount of money she spends on coffee is t = 5.50p + 7f, where p represents the cost of a package of flavored coffee.

Answers

Answer 1

Answer is

(a) She can buy 7 packages of plain coffee or 5 packages of coffee.

(b) f = [tex]\frac{T- 5.50 p}{7}[/tex]

(c) she can buy 3 packages of  flavoured coffee

(a) she spent on coffee is $ 40

amount of money she spends on coffee is 5.50

then, packages of plain coffee = [tex]\frac{40}{5.50}[/tex] ≈ 7.2

      so she buy 7 packages of plain coffee.

she spent on coffee is $ 40  and amount spends on flavoured coffee is 7

then , packages of flavoured coffee = [tex]\frac{40}{7}[/tex] ≈ 5.7

so she can buy 5 packages of flavoured coffee.

(b)According to question ,

T = 5.50 + 7f

so 7f = T - 5.50

then , f = [tex]\frac{T - 5.50}{7}[/tex]

(c) we get the value of f = [tex]\frac{T - 5.50}{7}[/tex]

given that , f is equal to 3

then,  f = [tex]\frac{T - 5.50}{7}[/tex]

           =   [tex]\frac{T - 5.50}{7}[/tex]×3

we get   =  [tex]\frac{T - 16.5}{7}[/tex]

when T is equal to 40

then , f = [tex]\frac{40 - 16.5}{7}[/tex] ≈ 3.35

so she can buy 3 packages of flavoured coffee.

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Related Questions

I need help with both of these

Answers

Answer:

i think  the first one is   C and second one is C

Step-by-step explanation:

   the second one is a whole number because the square root of 49 is 7 and 7 is a whole.      

PLEASE HELP THIS IS SO CONFUSING TO ME!!!

According to the American Sleep Disorders Association, the average teenager needs around 9.5 hours of sleep per night, possibly because of hormones that are critical. Yet studies show that teenagers generally get an average of only 7.4 hours a night or less. Calculate the number of seconds of sleep that an average teenager is lacking for the 180 days of school in one year.​

Answers

Answer:

A

Step-by-step explanation:

The two sentences relate like They establish a contrast. As  American Sleep Disorders Association is considering the teenager sleep and adult sleep.

What is sleeping disorder?

Sleep Disorders are mostly common nowadays as people are more busy in their scheduling, they don't get proper and sufficient time to sleep. This creates many problems in the human body.

The common type of sleeping disorder are  insomnia, restless toughnesses' syndrome, narcolepsy and sleep apnea.

Thus, option A is correct.

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4 plus 10 plus 12 plus 7

Answers

Answer:

33

Step-by-step explanation:

4+10+12+7

Suppose when you study 4 hours for an exan, your mark is 80 percent. and if you study for an extra hour, your mark is 85 percernt. the marginal benefir from studying one more hour is:_________

Answers

The marginal benefit from studying one extra hour is 5 percent.

What is marginal benefit?The maximum sum of money a consumer will spend on an additional commodity or service is known as the marginal benefit. As spending rises, customer contentment tends to decline.

Now,

Given:

Marks scored on studying 4 hours = 80 percentMarks scored on studying 1 hour extra = 85 percent

To find: Marginal benefit on studying one hour extra.

Finding:

Now, marks scored on studying 4 hours is 80 percent and 5 hours is 85 percent.

Thus, the extra percentage that is scored is because of the 1 hour of extra studying.

The extra percentage = marginal benefit of studying extra = 85 - 80 = 5 percent.

Hence, the marginal benefit from studying one extra hour is 5 percent.

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Write an explicit formula for an, the nth term of the sequence 26, 24, 22

Answers

we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

We are given an arithmetic sequence:

26, 24 , 22 ....

We need to find the nth term of this sequence (aₙ)

We will first find the common difference between the terms:

Common difference = d = 24 - 26 = - 2

also, we know that initial term = a = 26.

We know the formula for aₙ is given by:

aₙ = a + ( n - 1 ) d

Substituting the values, we get that:

aₙ = 26 + ( n - 1 ) ( - 2 )

aₙ = 26 - 2 n + 2

aₙ = 28 - 2 n

Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

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Find the volume of a cube with a side that measures 0.01 cm. (Hint: V = s ³).​

Answers

Answer: V=[tex]\frac{1}{1000000}[/tex] cm^3

Step-by-step explanation:

V = s³

V = (0.01)³

V=(1/100)³

V=[tex]\frac{1}{1000000}[/tex] cm^3

the volume of cube with a side that measures 0.01 cm is answer v = a3

A. Find the GCMF of each pair of monomials 1. 4x and 10xy​

Answers

The answer is 40x^2y. Correct me if I’m wrong. Have a good day!! :)

Write two numbers so that the value of the digit 9 in the second number is 10 times the value of the digit 9 in the first number?

Answers

The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.

What are the two numbers?

The first number will be 9 and the second number will be 98.

In the second number, the 9 is in the tens position which means that it has the value of 90.

In the first number, the value of 9 is simply 9.

90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.

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Pls help I’m gonna fail

Answers

Answer:

3. w = 4

4 . g = 8

5. q = 1

6. m = -3

7. z = -32

8. a = 6

9. h = 4

10. d = -16

11. y = 4

12. n = 4

13. v = 3

14. c = -2

Step-by-step explanation:

3). 3w + 7 = 19

3w = 12

w = 4

4). 2g - 13 = 3

2g = 16

g = 8

5). 11 = 12 - q

q + 11 = 12

q = 1

6). 10 = 7 - m

m + 10 = 7

m = -3

7). -4 * (5) = (z/-4 - 3) * -4

-20 = z + 12

z = -32

8). 3 * (a/3 + 4) = (6) * 3

a + 12 = 18

a = 6

9). 5 * ((h + 6)/5) = (2) * 5

h + 6 = 10

h = 4

10). -2 * ((d - 8)/-2) = (12) * -2

d - 8 = -24

d = -16

11). 8y + 3y = 44

11y = 44

y = 4

12). 36 = 13n - 4n

36 = 9n

n = 4

13). 12v + 10v + 14 = 80

22v + 14 = 80

22v = 66

v = 3

14). 6c - 8 - 2c = -16

4c - 8 = -16

4c = -8

c = -2

You're welcome
What they said is all correct

32-15x3-5(5-13+44)-33+3(576+13-375)

Answers

Answer:

416

Step-by-step explanation:

pemdas

Jamal loves his dog, Rupert. On sunny days, Jamal keeps Rupert on a 12-foot leash
in the backyard. He secures the leash to a stake in the ground.
> Answer each question and use 3.14 for T.
1 Determine the diameter, circumference, and area of Rupert's play area.

Answers

Diameter = 24 foot, circumference = 75.36 foot, Area = 452.16 square foot

As the leash is 12 feet, and dog Rupert will form a circle in the backyard.

As the leash is of 12 feet, so it is the radius(r) of the circle.

Diameter = 2r

                = 2×12

                = 24 foot

Circumference = 2πr

                         =2×3.14×12

                         = 75.36 foot

Area of the circle = π[tex]r^{2}[/tex]

                             = 3.14×[tex]12^{2}[/tex]

                             =3.14 × 144

                             = 452.16 [tex]foot^{2}[/tex]

Therefore we get diameter = 24foot, circumference = 75.36 foot and area = 452.16 square foot.

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Under his cell phone plan, Deion pays a flat cost of $39 per month and $4 per
gigabyte. He wants to keep his bill at $49.40 per month. How many gigabytes of data
can he use while staying within his budget?

Answers

Answer:

your answer is xx = (53.80 - 45) / 4

Cherries cost £3.50 per 1000 g.
Calculate the cost of 420g of cherries.

Answers

The cost of 420 grams of cherries is £1.47.

How to find the cost of cherries?

Cherries cost £3.50 per 1000 grams.

Therefore, the cost of 420 grams of cherries can be calculated as follows:

1000 grams of cherries  = £3.50

420 grams of cherries = ?

cross multiply

cost of 420 grams of cherries = 3.50 × 420 / 1000

cost of 420 grams of cherries =  1470 / 1000

cost of 420 grams of cherries = 147 / 100

cost of 420 grams of cherries = £1.47

Therefore, the cost of 420 grams of cherries is £1.47.

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Answer:

Step-by-step explanation:

Cost of 420g cherries

147 ÷ 100

=1.47

therefore the cost of 420 of cherries

= £1.4

A 9-foot roll of plastic wrap costs $4.41. What is the price per yard?

Answers

Answer:

$1.47 per yard

Step-by-step explanation:

3 feet = 1 yard

9 feet = 3 yards

set up a proportion

[tex]\frac{3}{4.41} = \frac{1}{x}[/tex]

cross multiply; 3x = 4.41 * 1

3x = 4.41

divide both sides by 3

x = 1.47

$1.47 per yard

five more than the product of two and a number,
decreased by seven;
evaluate when a = 8
Key Words
five
more than
product
two
a number
decreased by
seven
Replace With
5
+
x
2
a
7
Write and evaluate the expression. Then, complete the
statements.
First, write the expression
Second,
Third,
The answer is
8 in for the variable, a.
by using

Answers

For a=8 the solution for this equation will be 14.


It is given that
equation is
Five more than product of 2 with a number is decreased by 7.
so we will write the expression as
5+ 2x-7
if we put the value of a=8
then we can find the answer
putting the value of a in the given equation
So,
5+(2×8)-7
5+16-7
21-7
14.
So we have observed that the solution for a=8 ,
The value of this expression is 14.


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answer this question

Answers

Answer:

[tex]g(x)=|x+8|-2[/tex]

Step-by-step explanation:

The vertex is at (-8, 2), so g(x)=a|x+8|+2.

Considering g(-6),

[tex]g(-6)=4=a|-6+8|+2 \\ \\ 2=2a \\ \\ a=1 \\ \\ \therefore g(x)=|x+8|-2[/tex]

Triangle ABC with coordinates A (3, 4), B (7, 7), and C (8, 1) is translated 6 units left and 7 units down. What is the new coordinate for Point A'?

Answers

The new coordinate for Point A' is A' = (-3, -3)

How to determine the new coordinate for Point A'?

The coordinates of the triangle are given as:

A (3, 4), B (7, 7), and C (8, 1)

The translation is given as:

6 units left and 7 units down

This can be represented as:

(x, y) = (x - 6, y - 7)

When the above translation rule is applied on vertex A, we have:

A' = (-3, -3)

Hence, the new coordinate for Point A' is A' = (-3, -3)

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A man is walking away from a lamppost with a light source h = 4 m above the ground. The man is m = 2 m tall. How long is the man's shadow when he is d = 15 m from the lamppost? [Hint: Use similar triangles.]

Answers

Step KNG step explanation can help of brut

which of the following ordered pairs make this question true y=2x-4?

Answers

Answer:

There is not a single ordered pair which is a solution to y=2x−4 .

Please help with. Scale Factors

Answers

Answer:

5×8=40

x=7×8

=56

Step-by-step explanation:

5×8=40

x=7×8

=56

The water level in a swimming pool decreases from 60 inches to 58.25 inches in one week. Assuming that the water level changes at a constant rate, how much did the water level decrease each day? O 0.25 in. O 0.35 in. O 1.25 in. 1.75 in.​

Answers

The water level decrease each day is A. 0.25 in.

How to calculate the value?

From the information, the water level in a swimming pool decreases from 60 inches to 58.25 inches in one week.

There are 7 days in a week.

Therefore, the rate if decrease per day will be:

= (60 - 58.25)/7

= 1.75 / 7

= 0.25

Therefore, the correct option is A.

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A painting service charges $65 for a project in addition to $11 per hour. if they charge you a total of $263, how many hours did it take to complete the project?

Answers

Answer:

18 hours.

Step-by-step explanation:

Subtract $65 from the total.

263 - 65 = 198

Divide by 11.

198 ÷ 11 = 18

Answer:

18 hours

Step-by-step explanation:

$263-$65=$198

$198÷$11=18 hours

what's the answer? It's difficult to understand and my teacher doesn't really teach.

Answers

Step-by-step explanation:

So for questions 1 through 4, you're basically finding the number in the middle of the two letters. In question 1, D is above 7 on the number line and E is above 11. The mid-point would be 9.

For 5 and 6, we'll be using this formula: [tex](\frac{x_{1} + x_{2}}{2},\frac{y_{1} + y_{2}}{2})[/tex]

And now we just plug in the numbers from question 5 but it works the same way on 6 as well.

[tex](\frac{3 + 5}{2},\frac{1 + 3}{2})[/tex]     => (8/2, 4/2)

Coordinate of the midpoint would be (4, 2).

Lastly, we follow this system in order to get the final answers:

(Answer below shown for question 7)

(x + 2)/2 = 5

x + 2 = 10

x = 8

(y + 0)/2 = 2

y + 0 = 4

y = 4

Missing endpoint is (8, 4)

Janice has some beads that she can divide equally among herself and four friends with no beads left over. Which could be the number of beads Janice has?
A 576
B 384
C 480
D 240

Answers

Answer:

Can be C or D

Step-by-step explanation:

Janice and her 4 friends means there are 5 people in total.

She will divide them and so beads will be left which means no remainder.

so we have to look for a number divisible by 5

480 and 240 both are divisible by 5

a sporting event coordinator has 200 mini foam fingers she gives 2 foam fingers to each student in attendance. there are 26 left. how many students are in attendance?



thank u <3

Answers

The total number of students which are there in the sporting events are 87.

The total number of mini foam fingers which the sporting event coordinator has is 200. Since he gives 2 foam fingers to each student present in the event therefore each student has 1 pair of mini foam fingers.

So, in total there are 200/2 = 100 pairs of mini foam fingers.

The total number of mini foam fingers left after distribution is equal to 26.

So total pairs of mini foam fingers left = 26/2 = 13

Therefore, the number of students which are present in attendance is given by:

Total pairs of foam fingers - total pairs of foam fingers left

=> 100-13 = 87

Therefore, total number of students in attendance are 87.

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Write a rule for the function:

1 6
2 11
3 16
4 21


Answers

Answer:

4 21

Step-by-step explanation:

Its probably the answer you are looking for

HELP ASAP!!!!!
Write a function g whose graph represents the indicated transformation of the graph of f.
f(x)=4x+1; translation 2 units left.

HELP PLEASE

Answers

Answer:

The translation of 2 units left in function f (x) = 4x + 1 is 4x + 3.

Here,

Function is given as, f(x)=4x+1

And, translation 2 units left.

We have to find the function after translation.

Now,

Function is given as, f(x)=4x+1

After translation 2 units left the function is;

f (x) = 4x + 1 + 2

f (x ) = 4x + 3

Hence, the function after translation 2 units is f (x) = 4x + 3

OURSE
4. Which statement is false? (1 point)
Every integer is a real number.
Every real number is a rational number.
Every positive rational number has a square root.
Every integer is a rational number.

Answers

Answer:

Every positive rational number has a square root.

Step-by-step explanation:

this is not true because there are prime numbers

Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 14 steps forward, and Shaunte walked 5 steps backwards. Which expression correctly represents the distance between the friends? 14 + |−5| = 19 steps 14 + 5 = 19 steps |−14| + |−5| = 19 steps |−14| + 5 = 19 steps

Answers

The number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward option (A) is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other.

Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

Let forward direction be the positive

The backward direction is negative.

The number expression can be represented;

The distance between two friends:

14 + |-5| = 14 + 5 = 19

14 + |-5| = 19

Thus, the number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

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1+2+3+4+...+4567+4568+4569=? ill mark brainliest

Answers

Answer: 10440165 ==> sum of sequence

Step-by-step explanation:

4569+1=4570

4570/2=2285==> Average number in the sequence

4569-1+1=4569 numbers in the sequence. I find the number of numbers in the sequence by subtracting the last number in the sequence by the first number in the sequence (4569-1) and adding 1 to the difference.

2285*4569=10440165 ==> sum of sequence

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