ana is making treat bags to give to her 10 students. she puts x number of gum and 4 pieces of candy in each bag. after she was done she had used a total of 60 pieces. how many pieces of candy did each bag get?

If Lisa sells 50 watch bands, she gets a profit of $262.50.

A unitary method is defined.

Mathematicians use the unitary method to solve problems by first determining the value of a single unit, or 1, (by dividing), and then determining the necessary value by multiplying the value of the single unit.

We must first ascertain the cost of one watch band.

To determine this, we simply divide $105 by 20, which equals $5.25.

We can divide $5.25 by 50 because she sells all 50 watchbands.

50 multiplied by $5.25 equals $262.50.

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Answer:

Step-by-step explanation:

There are 15 circles and 6 squares.

Total shapes:

Ratio of squares to total shapes:

Answer:

the answer is 2:7

Step-by-step explanation:

6÷3 : 21÷3

=2:7

Step-by-step explanation:

the flight path of a rocket or a thrown object is a parabola as described by the function.

h(t) = -16t² + 40t + 7

the negative sign of the prime coefficient (-16) tells us that the parabola opens downwards, and that the vertex as the extreme point of the parabola is a maximum.

we get the extreme point of a curve by finding the zero solution of the first derivative of the function.

and the extreme value itself by using that value in the original equation and calculate the result.

h'(t) = -32t + 40

0 = -32t + 40

32t = 40

t = 40/32 = 5/4 = 1.25 seconds

h(5/4) = -16×(5/4)² + 40×5/4 + 7 =

= -16×25/16 + 10×5 + 7 =

= -25 + 50 + 7 = 32 ft

the rocket will reach its maximum height of 32 ft after 1.25 seconds.

Step-by-step explanation:

the angles between 2 intersecting lines must be the same on both sides of either line, they are just left-right mirrored.

so,

123 = 2v + 1

2v = 122

v = 61

Answer: n=1/27=0.037

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*n-(1/9)=0

Simplify 1/9

3n -  1/9  = 0

Rewrite the whole as a fraction using  9  as the denominator :

          3n     3n • 9

    3n =  ——  =  ——————

          1        9  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3n • 9 - (1)     27n - 1

————————————  =  ———————

     9              9  

End of step 2  

27n - 1

 ———————  = 0

    9  

Start of step 3

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 27n-1

 ————— • 9 = 0 • 9

   9  

Now, on the left hand side, the  9  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  27n-1  = 0

Solving a Single Variable Equation:

3.2      Solve:    27n-1 = 0

Add  1  to both sides of the equation :

                     27n = 1

Divide both sides of the equation by 27:

                    n = 1/27 = 0.037

Answer: the i8 49

Step-by-step explanation:98493

Answer:

negative

Step-by-step explanation:

The y-intercept of f(x) = (1.6)x is (a) less than the y-intercept of the function in the graph

The equation of the function is given as

f(x) = (1.6)x

To determine the y-intercept, we set x = 0

So, we have

f(0) = 1.6 * 0

Evaluate

f(0) = 0

For the graph, we have

When x = 0, the function has a value of 1

This means that

y-intercept is 1

0 is less than 1

Hence, the y-intercept of f(x) = (1.6)x is (a) less

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Answer:notsure

Step-by-step explanation:

Translation of the given sentence with variable y into inequality is given by 3y + 23 > 25.

As given in the question,

Given sentence is :

Let the number be represented by y.

The sum of y times of 3 and 23 is greater than 25.

Translation of the given sentence into inequality is given by :

y times 3 is represented by 3y

Sum of y times 3 and 23 is given by 3y + 23

Sum is greater than 25

3y + 23 > 25

Simplify the inequality we get,

3y > 25 -23

⇒3y > 2

⇒y > 2/3

Therefore, translation of the given sentence with variable y into inequality is given by 3y + 23 > 25.

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8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.

What is permutation and combination?
A permutation is an orderly arrangement of things or numbers.
Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
The amount of two-letter words that can be created using the letters in a word, like GREAT, is an illustration of permutations: ⁵P₂ = 5!/(5-2)!
How many different ways we may write the words utilizing the vowels in the word GREAT is an example of a combination: ⁵C₂ = 5!/[2! × (5-2)!]

Given, the letters that can be used to create the required three letter word in question: a, b, c, d, e.
Total number of letters that can be used = 5
Total number of vowels in the available letters to be used = 2 ('a' and 'e')
Total number of consonants in the available letters to be used = 3 ('b', 'c' and 'd')
Case 1: A three letter word having all vowels where letters can be repeated
Here, since two letters are to put in three empty positions, the total number of ways to form this word = 2³ = 2 × 2 × 2 = 8
Case 2: A three letter word having all consonants where letters can be repeated
Here, since three letters are to put in three empty positions, the total number of ways to form this word = 3³ = 3 × 3 × 3 = 27
Thus, 8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.

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The solution for g(7) in the piecewise function g(x) = (x + 1)(x - 5) is 16

From the question, we have the equation that can be used in our computation to be a piecewise function

This piecewise function is represented as g(x)

Also from the question, we have the following function that we are to compute

g(7)

This means that the value of x is 7, and we calculate g(x) when x = 7

To do this, we make use of an equation in the piecewise function, where the domain occupies x = 7

This domain is x c (2, oo)

And the function is

g(x) = (x + 1)(x - 5)

Substitute the known values in the above equation, so, we have the following representation

g(7) = (x + 1)(x - 5)

So, we have the following equation

g(7) = (7 + 1)(7 - 5)

There is no constant to add or subtract to both sides of the equation

Also, there is no factor to multiply or divide from both sides of the equation

So, we have the following representation

g(7) = (7 + 1)(7 - 5)

Solving further, we have

g(7) = 16

Hence, the solution is 16

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Using the formula of simple interest, the interest on Rs 2200 for 6 years at the same rate of interest is Rs 462.

In the given question,

The given principal amount = Rs 3000

The given time = 5 years

Interest amount = 525

Now finding the rate of interest.

As we know that the formula of simple interest.

I = P*R*T/100

525 = 3000*R*5/100

Multiply by 100 on both side we get

52500 = 15000*R

Divide by 15000 on both side

R = 52500/15000

R = 3.5

In the question we have to find the interest on Rs 2200 for 6 years at the same rate of interest.​

To find the interest put the value in I = P*R*T/100

As given P=2200, R=3.5%, T=6 years

I = P*R*T/100

I = 2200*3.5*6/100

I = 462

Hence, the interest on Rs 2200 for 6 years at the same rate of interest is Rs 462.

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The conflict style they used is Collaboration.

Given, that Nikolai wants to take Thomas to a Vietnamese Restaurant (which serves generous portions of inexpensive but delicious food), and Teresa wants to take Thomas to a French restaurant (which serves expensive and beautifully presented food)

To resolve the issue, they decide to flip a coin.

If Nikolai wins the coin toss they will take Thomas to the Vietnamese restaurant and the next time a friend of theirs has a birthday they will take her or him to the French restaurant Teresa likes and If Teresa wins the coin toss, they will go to the French restaurant first and the Vietnamese restaurant later.

Here, we can see that this is a win-win situation as both can go to their favorite restaurant.

So, the conflict style they used is Collaboration. As, Collaboration generates solutions that satisfy both the parties’ needs.

Hence, the conflict style they used is Collaboration.

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We can get heads for 200 times if we flipped the dime for 200 times.

What do you mean by Probability?

Probability is a mathematical measurement to measure the possibility of happening a particular incident or event mathematically.

Also, from the definition of probability, Probability is the ratio of the Number of Favorable event points to the number of total event points with respect to a particular event or incident.

[tex]Probability=\frac{Number of Favorable event Points}{Number of Total event Points}[/tex]

According to the given problem,

The probability of getting heads is 1.

Total number of flip of dime is 200

so, we can get heads from 200 flips [tex]=200*1=200 Times[/tex]

Hence, we get 200 heads from 200 flips of dime.

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The solution of given system of linear equations is x = 3.6 and y = 2.5.

A "system" of equations is a collection of equations that you answer all at once. Ax + By + C = 0, where A and B are the coefficients and C is the constant, can be used to describe a linear equation. Non-linear equations are more difficult to comprehend than linear equations.

Solving the equations,

5x +4y = 8

10x − 4y = 46

Adding the above equations, we get

5x + 10x + 4y - 4y = 8 + 46

15x=54

Dividing by 15,

x = 3.6

Now, putting the value of x in second equation,

10(3.6) - 4y = 46

36 - 4y = 46

4y = -10

Dividing by 4, we get

y = -2.5

Therefore, the solution of given system of linear equations is x = 3.6 and y = 2.5.

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There were 58 cars sold with exactly two of the given options.

1. There were 90 cars sold with air conditioning.

2. There were 102 cars sold with automatic transmission.

3. There were 72 cars sold with power steering.

4. There were 7 cars sold with all three options.

5. There were 22 cars sold with none of the options.

6. There were 25 cars sold with only air conditioning.

7. There were 61 cars sold with only automatic transmission.

8. There were 33 cars sold with only power steering.

9. There were 11 cars sold with both automatic transmission and power steering.

Let's just count the number of cars that have exactly two of the given options:

Air Conditioning & Automatic Transmission: 25

Air Conditioning & Power Steering: 22

Automatic Transmission & Power Steering: 11

So there are 25 + 22 + 11 = 58 cars that have exactly two of the given options.

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Answer:

the answer is 350

Step-by-step explanation:

if it increased by 200% that means it doubled

so when x is doubled we get 700

so: 2x=700

       x=700/2

       x=350

Answer:

In order to complete the equation we need to use this method :      

Future Amount = I(1+r)^t

I=Initial Amount

R=Growth rate

T=Time periods

Now that we know that....

Letsss seee:

You started with 55 so

Future Amount = 55(1+r)^t

The growth rate is 73% so we have to convert to decimal so

Future Amount=55(1+.73)^t

Time period is 73% every 2 days and you want to see how large the colony would be after 10 days so you do 10/2:

Future Amount=55(1+.73)^5

Future Amount therefore equals 852.301407 BUT You have to round to the nearest whole number Sooo

Step-by-step explanation:

Hope this helpss you Tony!

Answer:

How large would the colony be after 10 days?

852 is the answer.

Step-by-step explanation:

Answer:

  $7

Step-by-step explanation:

You want the cost of a shirt when the cost of 21 shirts plus a $40 setup fee is $187.

The total cost of the order is the sum of the setup fee and the extended cost of the shirts.

  cost = (setup fee) + (number of shirts) × (cost per shirt)

  187 = 40 + 21 × (cost per shirt)

Subtracting 40 gives ...

  147 = 21(cost per shirt)

Dividing by 21, we have ...

  7 = cost per shirt

Each T-shirt costs $7.

Answer:

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

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (6, - 5 ) into the partial equation

- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3

y = - [tex]\frac{1}{3}[/tex] x - 3 ← equation of line

No. of par-3 holes be represented by = 5

No. of par-4 holes be represented by = 8

No. of par-5 holes are represented by = 5

Total number of courses in the club= 18 (given in the question)

Total shot taken by golfer=72 (given in the question)

Let par-3 holes be represented by t

Let par-4 holes be represented by f

Let par-5 holes be represented by v

forming equations:

f+2=2v

t=v

f + v + t = 18

f+2=2v

f=2v-2 -(i)

t=v -(ii)

f + t + v=18

putting values from (i) and (ii)

(2v-2) + v + v=18

2v-2+2v=18

4v=18+2

4v=20

v=20/4

v=5

Number of par-5 holes=5

from (i)

f=2v-2

putting value

f=2(5)-2

f=10-2

f=8

Number of par-4 holes=8

from (i)

t=v-

putting value

t=5

t=5

Number of par-3 holes=5

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Answer:

106

Step-by-step explanation:

180-74=106

You can find x by looking at the corresponding angle under it and we know a straight line is 180 degrees and the other side of the x is 74 degrees then we just subtract to find the x angle

Hopes this helps please mark brainliest

The required value of ∠ABC in the given triangle is 50°

The relation between interior and exterior angles of the triangle are related as, the sum two interior angles of triangle is equal to the opposite exterior angle of that triangle.

As we see in the given question, the sum of angle ∠A and ∠B is equal to the exterior angle which is 145°

⇒ 2x° + 95° = 145°

⇒ 2x° = 145° - 95°

⇒ 2x = 50°

Thus, required answer of angle ∠ABC is 50°

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Answer:

x= 40° y= 66° z=106° ....

The value of angles are x = 40° , y = 66°, z = 106°

Since there are two parallel lines and two intersecting lines forming a triangle we will use the properties of lines and triangles to find out the value of x,y,z. First of all y = 66° because of the vertical angle theorem, which means that adjacent angles formed by the intersection of two lines are supplementary or equal to 180° degrees. The third angle of the triangle formed is 74°. Using the sum of all angles of the triangle is equal to 180° we can find the third angle of triangle x which is equal to 40°. Now z can be found using the property sum of two opposite interior angles which will come out to be 106°. Hence by this, we can find all the angles.

I hope this answer helps.

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Answer:

solve for x 7 (5x+9)=- (x-9) 7(5x + 9) = −(x − 9) 7 ( 5 x + 9) = - ( x - 9) Simplify 7(5x+9) 7 ( 5 x + 9). Tap for more steps... 35x+63 = −(x−9) 35 x + 63 = - ( x - 9) Simplify −(x−9) - ( x - 9).

Step-by-step explanation:

Rewrite 0+0+7(5x+9)= -(x----9)

Apply the distributive property. 7 (5x) + 7.9= - (x-9)

There is a 1/3 chance that random variable will have a value higher than 5.

For the variable t, which follows uniform probability distribution.

0 ≤ t ≤ 8

Total variables = 9.

For the probability of value greater than 5 for the random variable.

P(t > 5) = P(t = 6) + P(t = 7) + P(t = 8)

P(t > 5) = 1/9 + 1/9 + 1/9

P(t > 5) = 3/9

P(t > 5) = 1/3

Thus, there is a 1/3 chance that random variable will have a value higher than 5.

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Now we have to,

→ find the required value of b.

Formula we use,

→ (AC)² = (BC)² + (AB)²

Then the value of a will be,

→ (10.5)² = b² + (3)²

→ 110.25 = b² + 9

→ b² = 110.25 - 9

→ b = √101.25

→ [ b = 10.06 in ]

Hence, value of b is 10.06 in.

The solutions of the quadratic equation using the quadratic formula is x = 3 + 2√2 and x = 3 - 2√2

From the question, we are to solve the given quadratic equation using the quadratic formula

The given quadratic equation is

x² - 6x + 1 = 0

Using the quadratic formula,

x = [-b±√(b² - 4ac)] / 2a

a = 1, b = -6, and c = 1

Thus,

x = [-(-6) ±√((-6)² - 4(1)(1))] / 2(1)

x = [6 ±√(36 - 4)] / 2

x = [6 ±√(32)] / 2

x = [6 ± 4√2] / 2

x = [2(3 ± 2√2)] / 2

x = 2(3 ± 2√2) / 2

x = (3 ± 2√2)

x = 3 + 2√2 and 3 - 2√2

Hence, the roots are 3 + 2√2 and 3 - 2√2

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