The ratio of bananas to apples is. 2
The ratio of plums to apples is
apples, there are
8
For every
For every 3 bananas there is one
to
zoom in
plums.
T
In a fruit basket there are 9 bananas, 4 apples,
and 3 plums.
2.
3.
4.
the ratio of bananas to apples is 9:4
the rations of plums to apples is 3:4
for every 4 apples there are 3 plums

Answer:

144cm²

Step-by-step explanation:

If the square is perfectly even on all sides, the you first need to divide 48 by 4, as a square has 4 sides.

48/4 = 12cm

Then, to find the area, you need to multiply 12 by 12.

12 cm x 12 cm = 144cm²

Hope this helps :)

Harvey's mistake in this scenario is that he put the pigs on a bed of straw that could infect their belly buttons. Additionally, he did not ensure that they consume colostrum in the first hours of life.

When we have a pregnant sow and we have to manage the postpartum procedure, we must make sure of different necessary procedures so that the piglets are well and their lives are not at risk in the following hours or days.

Among the procedures necessary for the piglets to be well are breathing, feeding and hygiene. In detail, once the piglet is extracted from its mother, we must make sure that it is breathing correctly. Secondly, we must clean it properly and make sure that its navel is completely clean to avoid infections. Finally we must give colostrum as food within the following hours after birth.

Additionally, we must place it in a clean place where it is not exposed to possible bacteria or infections, so the option of putting it on a bed of straw would be ruled out due to hygiene for the pig.

According to the above, Harvey's mistake was that he did not clean the piglets when they were born, did not give them colostrum, and put them on straw. Actually, he made three mistakes.

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The expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

What is the area of the trapezium?

The formula for the area of a trapezium is A = h(c + d)/2, where h is the height of the trapezium, c is the length of one of the bases, and d is the length of the other base.

To find an expression for c in terms of A, h, and d, we can start by rearranging the formula to solve for c:

A = h(c + d)/2

2A = h(c + d)

2A/h = c + d

c + d = 2A/h

Then, we can subtract d from both sides of the equation to solve for c:

c = (2A/h) - d

Hence, the expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

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The expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

What is the area of the trapezium?

The formula for the area of a trapezium is A = h(c + d)/2, where h is the height of the trapezium, c is the length of one of the bases, and d is the length of the other base.

To find an expression for c in terms of A, h, and d, we can start by rearranging the formula to solve for c:

A = h(c + d)/2

2A = h(c + d)

2A/h = c + d

c + d = 2A/h

Then, we can subtract d from both sides of the equation to solve for c:

c = (2A/h) - d

Hence, the expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

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Answer:12

Step-by-step explanation:

270/3=90, this is the amount it costs for 1 person to go

1080/90=12

12 people can go for $1080

Answer:

New price = 0.06 x Original price

New price $1,968

Observing the information provided and using concept of central tendency parameters of statistics, The central tendency which we can immediately determine is median.

A field of mathematics that deals with gathering, analyzing, interpreting, and presenting vast amounts of numerical data.

The statistical test that determines whether a single result accurately represents a whole distribution is known as measure of central tendency.

total students = 40.

half = 20 students.

20 have scores below 77% and 20 have above 77%.

Thus, We can immediately determine that the median of score is 77%.

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Answer: 4 points per boy and 7 points per girl

Step-by-step explanation: first we have to find out how many points total the girls scored and how many the boys scored. Since the girls scored 13 more points, we can do 29-13=16. then divide that by two because there are the girls and the boys. 16/2=8. the boys scored 8 points total. but we have to add the 13 and 8 for the girls. 13+8=21 then divide each by the number of girls and boys. so, the boys it would be 8 total points the boys scored/2 boys who scored=4. each boy scored 4 points. now the girls. 21 points scored by the girls/the 3 girls who scored=7 points per girl. so, each boy scored 4 points and each girl scored 7 points.

Answer: x= -64

Step-by-step explanation: simplifying both sides of the equation

The number of quizzes still need to be graded is 17quizzes.

There are many different ways to define an equation. In terms of algebra, an equation is a claim that demonstrates the equality of two mathematical expressions.

For instance, the two equations 5x + 4 and 16, which are separated by the 'equal' sign, make up the equation 5x + 4 = 16.

Algebraic equations in mathematics frequently have one or more variables.

It is given that,

grades of the teacher out of 48 quizzes before school = 16

grades of the teacher of the remaining quizzes after school = 15

Let us assume 'X' as the number of quizzes still need to be graded.

then X= 48-16+15

          =48-31

          =17

Hence, The number of quizzes still need to be graded is 17quizzes.

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The number of quizzes still need to be graded is 17 quizzes.

   then X= 48-=48-31

    =17

Hence, The number of quizzes still need to be graded is 17 quizzes.

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After the conversion of 22 fl oz/minutes to mL/s, we get 10.41 mL/s

What is fluid ounce(fl oz)?

The fluid ounce is different from the (international avoirdupois) ounce as a unit of weight or mass, even though it is occasionally referred to as simply "one ounce" when the context clearly indicates what is meant. There is almost exactly one ounce of pure water in one imperial fluid ounce of volume.

A fluid ounce, often known as a capacity or fl oz, is a volume measurement unit that is frequently used to measure liquids.

An imperial fluid ounce is exactly 28.4130625 milliliters (1/20 of an imperial pint, 1/16 of an imperial gallon).

As, 1 fl oz = 28.41 mL

∴ 22 fl oz = (28.41×22) mL

⇒ 22 fl oz = 625.02 mL

Since, 1 minute = 60 s

∴ 22 fl oz/minutes = (625.02/60) mL/s

⇒ 22 fl oz/minutes = 10.41 mL/s

After the conversion of 22 fl oz/minutes to mL/s, we get 10.41 mL/s

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The original attendance of the video game club was 28.57 members.

To determine the original attendance of the video game club, you can use the following formula:

Original attendance = (Number of members lost) / (Percent of group that left)

Plugging in the values from the problem, we get:

Original attendance = (8 members) / (28%)

To solve this equation, you need to convert the percent to a decimal by dividing it by 100. This gives us:

Original attendance = (8 members) / (0.28)

Then, you can solve the equation by dividing the number of members lost by the decimal equivalent of the percent:

Original attendance = 28.57 members

Therefore, the video gaming club had 28.57 members when it first started.

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The measure of angle EHF is 63°

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

m∠EHG is a right angle.

This means,

m∠EHG = 90°

m∠EHF + m∠FHG = 90

m∠EHF + 27 = 90

m∠EHF = 90 - 27

m∠EHF = 63°

Thus,

The value of m∠EHF is 63°.

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The null and different hypotheses for hypothesis test are

[tex]H_{0}[/tex] : P =0.63 against [tex]H_{1}[/tex] p [tex]\neq[/tex] 0.63

Null hypotheses

Given that:

sample size (η)= 196

sample proposition (p^) = 114/196

Let p denote the population proportion of people who use a loyalty card.

The percentage of shoppers use loyalty cards in their stores has remittent from sixty-three in 2014. [That is, whether or not the proportion has shifted from zero to 1] .63]

Hence, the null and alternative hypothesis are

[tex]H_{0}[/tex] : P =0.63 against [tex]H_{1}[/tex] p [tex]\neq[/tex] 0.63

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Bob pays $22 per month as 39 is joining fee which is only for first month

What is an example of a slope intercept form?

Slope-Intercept Form Examples

Example 1: Assuming a line has a slope of 1/2 and intersects the y-axis at (0, -3). Find the line's equation. Y = x/2 - 3 is the solution to the line's equation. Example 2: Using the horizontal line slope intercept formula, determine the equation at which the y-axis intersects (0, 8).

How is a slope equation solved?

Write the equation of the line in slope-intercept form to determine the slope from the equation. Utilize inverse procedures to find y, then write it as y=mx+b. Since the slope is the x variable's coefficient, or the number before x, you can thus readily see the slope.

Given that:

y=22m+39

Slope of the function is 22 and it is membership fee of a month .

If bob wants to increase membership for a months , he has to pay 22 extra and joining fee of 39

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The maximum number changes of direction (turning points) = 3

What is Direction?

The direction of an object's motion or tendency is indicated by its direction.

The main directions are East, South, West, and North.

Concept:

Not every cubic function has a definite turning point. but their are 3 turning point and depends upon the type of the cube

The first derivative of the function becomes zero and the second derivative might either be positive or negative at a turning point of the function.

The function would not have a turning point if the set of real numbers containing the roots of the first derivative of the function included none.

The point would not be a turning point but an inflexion point of the curve if the function has a root in the set of real numbers but its second derivative is zero at that location. Additionally, such a process would not have a turning point.

Think about the equation f(x)=x3. There isn't a turning point in this function. Rather, it has an inflection point at x=3.

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Answer: -26 feet

Step-by-step explanation:

1. [tex]\overline{OP}[/tex] bisects [tex]\angle MON[/tex] (given)

2. [tex]\angle MOP \cong \angle PON[/tex] (definition of angle bisector)

3. [tex]\overline{PN} \perp \overline{ON}[/tex], [tex]\overline{PM} \perp \overline{OM}[/tex] (given)

4. [tex]\angle PNO[/tex] and [tex]\angle PMO[/tex] are right angles (definition of perpendicular lines)

5. [tex]\angle PNO \cong \angle PMO[/tex] (all right angles are congruent)

6. [tex]\overline{OP} \cong \overline{OP}[/tex] (reflexive property)

7. [tex]\triangle MOP \cong \triangle NOP[/tex] (AAS)

8. [tex]\overline{PN} \cong \overline{PM}[/tex] (CPCTC)

It is proved that PN is congruent to PM by CPCTC

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We are Given OP bisects angle MON, PM is perpendicular to PM and PN is perpendicular to ON.

Therefore, Angle PNO and Angle PMO are right angles ( by definition of perpendicular lines)

All right angles are congruent;

Triangle PNO is congruent to Triangle PMO

OP = OP (by reflexive property)

Thus, MOP is congruent to NOP by AAS

PN = PM  (CPCTC)

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Match the Vocab Word to the definition

1. Addition Property of Equality

2. Subtraction Property of Equality

3. Multiplication Property of Equality

4. Division Property of Equality

Order property refers to situation of changing the order of the factors. swapping the positions of the addends still maintain the answer

For instance commutative property of addition

commutative property of multiplication

The properties of equality refers to performing same operation in the opposite sides of an equation

Addition Property of Equality: here c is added to both sides of the equality such that a = b, then a + c = b + c

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The graph in the problem shows the system of inequalities written below

y ≥ 2

y < x

There are some points that help in interpreting inequality graphs.

Firstly, arranging the equation such that y is the subject of the formula

Secondly look out for line type: dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR <solid line means there is equality in the inequality  ≤ OR ≥

Thirdly is the shaded portion

shading above the line defines greater than shading below the line defines less than

Equipped with this information, on of the line is dashed line and the other is solid line,

the solid line is a horizontal line and shaded above the line which is

y ≥ 2

the dashed line is shaded below the line will hence be a less than

y < x

This makes the first option the best choice

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The linear equation that relates the thickness and the number of weeks is:

y = -0.2*x + 3.36

We know that the thickness decreases at a constant rate of 0.2 meters per week, so we will have a linear function between y, the thickness, and x, the number of weeks:

y = -0.2*x + b

Where b is the initial thickness

We know that after 7 weeks the sheet is 2.4 meters thick, so we can write:

2.4 = -0.2*7 + b

Now we can solve this for b.

2.4 + 0.2*7 = b

3.36 = b

Then the linear equation is:

y = -0.2*x + 3.36

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Answer:

60

Step-by-step explanation:

?=60, multiply each side of the ratio by 10 to get the answer

6×10:1×10

60:10

1. In the simple interest equation, 687.5 = 550(1 + 0.05t), A. The value 550 represents the initial balance in the account, which means the account started with $550.

2. The account balance of a savings account opened with an initial deposit of $425.00, after 9 years if the account earns 2.7% simple interest annually, is C. $528.28.

3. The formula for the arithmetic sequence which begins with 56, 59, 62, 65, 68, … is C. f(n) = 56 + 3(n).

4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account, where r is A. r = 0.04.

The simple interest system operates without compounding the interest.

Compounding implies that interest attracts interest.

1) 687.5 = 550(1 + 0.05t)

Principal = $550

Final amount after t years = $687.50

Simple interest rate = 0.05 or 5%

Time, t = [$687.5/$550 - 1]/0.05

= 5 years

2) Principal = $425.00

Time = 9 years

Simple interest rate = 2.7%

Amount after 9 years = $528.28 ($425 x 1 + (9 x 2.7%)

f(n) = 56 + 3(n)

Where n = 1:

f(n) = 56 + 3(1)

= 56 + 3

= 59

Where n = 2:

f(n) = 56 + 3(2)

= 56 + 6

= 62

4) Principal = $600

Amount after 9 years = $816

Simple interest rate = r

r = ($816/$600 - 1)/9

= 0.04

= 4%

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Answer:

Answer below

Step-by-step explanation:

1. The value 550 represents the initial balance in the account, which means the account started with $550.

2. (C) 528.28

425.00 x  2.7% x 9 = 103.275

Then we add 103.275 to the initial deposit of $425.00

425.00 + 103.275 = 528.275

Therefore the answer is (C) 528.28

3. The answer for this one is (A) f(n) = 56 + 3(n − 1)

So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex] .

Therefore, its 56 + 3(n − 1)

4. For this one we solve for r and using a calculator its (A) r = 0.04

5. Oh also he doesn't have this one but its (C) 102

An auditorium has 30 seats in the first row, 38 seats in the second row, 46 seats in the third row, and so on. How many seats are in the 10th row?

60

93

102

110

As we can see the common difference is 8.

Then we use the rule for nth term which is [tex]a_{n} =a_{1} +d(n-1)[/tex]

[tex]a_{n} =30+8(n-1)[/tex]

[tex]a_{n} =30+8n-8[/tex]

[tex]a_{n} =22+8(10)[/tex]

[tex]a_{n} =22+80[/tex]

[tex]a_{n} = 102[/tex]

So therefore, the answer is (C) 102.

The sample mean is -0.0417 standard deviations from the population mean.

Standard deviation is a measure of the dispersion or spread of a set of data.

The mean, also known as the arithmetic mean or average, is a measure of the central tendency of a dataset.

(sample mean - population mean) / standard deviation

Plugging in the values from the problem, we get:

(245.05 - 246) / 3.60 = -0.15 / 3.60 = -0.0417

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Alyssa has the money of worth $660

Eric has the money of worth $245

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Let x be the amount Alyssa has.

Let y be the amount  Eric has.

alyssa has $75 less than three times eric

=> x= 3y - 75

Together they have $905

=> x + y =905

Substitute x

=> 3y - 75  +y = 905

    4y = 905 +75 = 980

    y = 980 /4 = 245

x= 3y - 75  = 3(245) - 75 = 660

Alyssa has  $660

Eric has  $245

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The value of the numerical expression 70 / (7 - 2) will be 14. Then the correct option is B.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numerical expression is given below.

⇒ 70 / (7 - 2)

Simplify the expression, then we have

⇒ 70 / (7 - 2)

⇒ 70 / 5

⇒ 14

The worth of the mathematical articulation 70/(7 - 2) will be 14. Then the right choice is B.

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The correct expression is given below.

70 / (7 - 2)

Answer:

Step-by-step explanation:

First you add 5 to -3 so that you get 2 is less than or equal to x.

x ≥ 2

Answer:

y = 1/3x + 8/3

Step-by-step explanation:

The slope of a line that is perpendicular to the line y = -1/3x + 7 is the negative reciprocal of the slope of the given line, which is -3. So, the slope of the perpendicular line is 1/3.

The point where the perpendicular line intersects the given line is also the point where the two lines intersect, which is (4,2) in this case. So, we can use this point to find the equation of the perpendicular line using the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1,y1) is a point on the line.

In our case, the equation of the perpendicular line is:

y - 2 = 1/3(x - 4)

We can simplify this equation to obtain:

y = 1/3x + 8/3

Therefore, the equation of the perpendicular line is y = 1/3x + 8/3.

The equations found for the number of tickets sold when 22 tickets are sold on Monday and 30 per day after are sold by Madelyn, and 53 tickets are sold on Monday and 20 per day after that are;

Tickets sold by Madelyn is; y = 22 + 30·x

Tickets sold by Kaia is; y = 53 + 20·x

A system of equation obtained from the details in the question can be presented as follows

y = 22 + 30·x...(1)

y = 53 + 20·x...(2)

The appropriate method for solving the system is to equate equivalent values of one of the variable obtained from each equation in the system.

The solution of the system of equation is; x = 3.1, which indicates that it takes about 3.1 days for the number of tickets sold by Madelyn and Kaia to be equivalent.

An equation consists of two expressions that are joined by the 'equals to' (=) sign.

The number of tickets for the Winter Dance Madelyn sold = 22

Number of tickets per day Madelyn sold after that = 30 per day

Number of tickets Kaia sold on Monday = 53

Number of tickets per day Kaia sold after that = 20 per day

Let x represent the number of days since Monday, and let y represent the number of tickets sold

Therefore;

The number of tickets Madelyn sold, y = 22 + 30·x

The number of tickets Kaia sold, y = 53 + 20·x

The system of equations from the specified information is the equation for the number of tickets Madelyn sold and the number of tickets Kaia sold combined, which can be presented as follows;

y = 22 + 30·x...(1)

y = 53 + 20·x...(2)

The method of solving the equations is by plugging in the value of y from equation (1) in equation (2), as follows;
22 + 30·x = 53 + 20·x

30·x - 20·x = 53 - 22 = 31

10·x = 31

x = 31 ÷ 10 = 3.1

The meaning of the solution of the system of equation, x = 3.1, is that the number of days for the number of tickets sold by Madelyn and Kaia to be the same is about 3 days

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Answer:

All Real Numbers

Step-by-step explanation:

I assume you are solving for x.
The Interval Notation would be: (-∞,∞)

The number of adult tickets  which were sold that day as calculated from the given data  is 29.

First, we must assign variables to what our "unknowns" are. Assume there are "A" number of adult tickets and "C" number of child tickets. To solve this problem, we will use two equations.

To begin, each adult ticket costs $8.90, and each kid ticket costs $5.30. When the sales totals for both types of tickets are added together, the total sale is $928.

This is represented by the following equation,

$8.90A + $5.30C = $928

Next, we know that multiplying the number of child tickets by three equals the number of adult tickets:

3 * C = A

Now we can answer our first problem by substituting 3 * C for A.

8.9 (3C) + 5.3C = 928

26.7C + 5.3C = 928

32C = 928

C = 29

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