q=you+have+50+blueberries+and+75+scone.+You+want+to+make+as+many+identtical+bags+as+possible.+Each+bag+should+have+an+equal+number+of+blueberry+scones+and+an+equal+number+of+cranberry+scones.+What+is+the+greatest+number+of+bags+you+can+fill&cvid=1ea9df65fe52425e9572dfee62446327&pglt=43&FORM=ANNTA1&PC=DCTS

Answer:

the answer is B

Step-by-step explanation:

I know this because I'm a genius

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

D.  y = -6x + 38

Step-by-step explanation:

Equation of a sequence

We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}

y={32,26,20,14,8....}

To find the equation of the sequence, we must recall the general term of a sequence is:

\(a_x=a_1+(x-1).r\)

Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.

We can find the value of r by subtracting any pair of consecutive terms:

r = 26-32 = 20-26 = 14-20 = -6

Now we apply the formula:

y=32+(x-1).(-6)

Operating:

y=32-6x+6

y = -6x + 38

Answer:

D.   y = -6x + 38

To factor the above quadratic equation using Earmuff Method, here are the steps:

1. Multiply the numerical coefficient of the degree 2 with the constant term.

2. Find the factors of 24 that when added will result to the middle term 10.

1 and 24 = 25

2 and 12 = 14

3 and 8 = 11

6 and 4 = 10

Upon going over the factors, we will find that 6 and 4 are factors of 24 and results to 10 when added.

3. Add "x" on the factors 6 and 4. We will get 6x and 4x.

4. Replace 10x in the original equation with 6x and 4x.

5. Separate the equation into two groups.

6. Factor each group.

7. Since (x + 2) is a common factor, we can rewrite the equation into:

Hence, the factors of the quadratic equation are (3x + 4) and (x + 2).

Another way of factoring quadratic equation is what we call Slide and Divide Method. Here are the steps.

1. Slide the numerical coefficient of the degree 2 to the constant term by multiplying them. The equation becomes:

2. Find the factors of 24 that results to 10 when added. In the previous method, we already found out that 6 and 4 are factors of 24 that results to 10 upon adding. So, we can say that the factors of the new equation we got in step 1 is:

3. Since we slide "3" to the constant term, divide the factors 6 and 4 by 3.

4. Since we can't have a fraction as a factor, slide back the denominator 3 to the term x in the same factor.

Similarly, we got the same factors of the given quadratic equation and these are (x + 2) and (3x + 4).

The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

Learn more about Volume here:

brainly.com/question/1578538

#SPJ1

Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

3x + 2 = 2x + 7

Subtract 2 from both sides:

3x = 2x +5

Subtract 2x from both sides:

x = 5

Answer: x = 5

Answer:

it's 2......and thx for the points!

Have a great day ahead! ^_^

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

learn more about sine rule from

https://brainly.com/question/27174058

#SPJ1

SOLUTION

We will simply substitute the known values of x and y into the given expression

abd get our answer.

The expression will become:

The answer is 31.

Answer:

Step-by-step explanation:

Quadratic equation:

Substitute p and q:

Find the value of a, using the y-intercept:

The equation is:

or

29 years from now, the father will be 49 years old.

Let's start by setting up the given information:

Currently, the father is 20 years old, and the son is 5 years old.

In 10 years, the father will be twice as old as the son.

The father is currently four times as old as the son.

Determine the age of the father and son in 10 years:

In 10 years, the father's age will be 20 + 10 = 30 years.

In 10 years, the son's age will be 5 + 10 = 15 years.

Write equations based on the given information:

The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.

The father's current age is four times the son's current age: 20 = 4 × 5.

Solve the equations:

From the second equation, we find that the son's current age is 5 years.

Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).

Simplifying further, we have: 30 = 2 × 15, which is true.

Determine the current age of the son in 29 years:

The son's current age is 5 years.

Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.

Determine the current age of the father in 29 years:

The father's current age is 20 years.

Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.

Therefore, 29 years from now, the father will be 49 years old.

for such more question on age

https://brainly.com/question/25863198

#SPJ11

Answer: The most important aspect in doing algebra is having a pen/pencil and paper in hand. It'll give you a better understanding of the question being posed.

Six categories of integers based on their ones digit are:

The cases when sum or difference of the pair is divisible by 10:

Therefore, no matter which seven integers we choose, there is always a pair that meets the condition.

Learn more about Prove Pair Sum/Diff Multiple of 10 here:

https://brainly.com/question/14280621

#SPJ4

Answer:

2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

learn more about domain of a function: https://brainly.com/question/1369616

#SPJ9

The requried population increased by approximately 60.53%.

To find the absolute increase, we subtract the initial population from the final population:

Absolute increase = Final population - Initial population

Absolute increase = 6100 - 3800

Absolute increase = 2300

Therefore, the population increased by 2300 people.

To find the relative increase, we first calculate the percent change:

Percent change = (New value - Old value) / Old value x 100%

Percent change = (6100 - 3800) / 3800 x 100%

Percent change = 2300 / 3800 x 100%

Percent change = 60.53%

Therefore, the population increased by approximately 60.53%.

Learn more about absolute and relative (percent) increase here:

https://brainly.com/question/29012333

#SPJ1

====================================================

Explanation:

We're told that "given that it is less than 8", so we only focus on these values {1,2,3,4,5,6,7}. There are B = 7 items in this set.

Of those, the set {1,2,3,4,5,6} are less than 7. There are A = 6 items in this set.

The probability we're after is A/B = 6/7 = 0.8571

Answer:

I just got this question in my book, and i already solved it. so just saying that i now the answer, it is 0.8571

For this problem, we are given the characteristics of an ellipse, and we need to determine its expression.

The general expression for an ellipse is given below:

Where (h,k) are the coordinates of the center, a is the major radius and b is the minor radius.

We are given the length of the major axis, we need to divide it by 2 in order to find the major radius:

Then we are given the endpoint for the minor axis, which is (4, -1). Since this is aligned with the center at (4,0) we can determine the minor radius by subtracting the y-coordinates:

The ellipse's expression is:

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

For more such questions on Purchased:

https://brainly.com/question/28717901

#SPJ8

The probability of getting a 6 on the first roll, then a number less than five on the second roll is 1/9.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of sides on the cube = 6

i.e 1, 2, 3, 4, 5,  and 6

The cube is rolled twice.

The probability of getting a 6 on the first roll.

= 1/6

The probability of getting a number less than 5 on the second roll.

Numbers less than 5 = {1, 2, 3, 4 }

= 4/6

= 2/3

The  probability of getting a 6 on the first roll, then a number less than five on the second roll:

= 1/6 x 2/3

= 1/9

Thus,

The probability of getting a 6 on the first roll, then a number less than five on the second roll is 1/9.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

Find out more on ratio at https://brainly.com/question/31414597

#SPJ1

The different committees possible are 10,584. Option A is the answer.

Тhe number оf wаys tо choosе 4 men out оf 9 is givеn by 9C4, which is:

9C4 = (9!)/(4!5!)

= 126

Similаrly, the number оf wаys tо choosе 6 wоmen out оf 9 is givеn by 9С6, which is:

9С6 = (9!)/(6!3!)

= 84

So the tоtal number оf wаys tо choosе a committее consisting оf 4 men and 6 wоmen is:

126 * 84 = 10,584

Тherefore, the аnswer is (А) 10,584.

Learn more on permutation and combination here https://brainly.com/question/4658834

#SPJ1

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

\(\bold{\huge{\red{\underline{ Solution}}}}\)

\(\bold{\underline{ We \: have\: given :-}}\)

\(\sf{ 2x + 7y = 3 ...eq(1 ) }\)

\(\sf{ x = -4y ...eq(2) }\)

Here, we will use the substitution method for solving the above equations.

\(\bold{\underline{Subsitute \: eq(1)\:in \: eq(2)}}\)

\(\sf{ 2(-4y) + 7y = 3 }\)

\(\sf{ -8y + 7y = 3 }\)

\(\sf{ - y = 3 }\)

\(\sf{ y = - 3. ...eq( 3) }\)

\(\bold{\underline{Subsitute \: eq(3)\:in \: eq(2)}}\)

\(\sf{ x = -4(-3) }\)

\(\sf{ x = 12 }\)

\(\sf{\blue{ Hence, \: The \:value \:of \:x \:and \:y \:is\: 12\: and \:-3}}\)