Edward buys 6 yards of fabric for $15. How much money does it cost per
yard?

Answer:

it is made of 1400ml of soda

Step-by-step explanation:

Answer:

Step-by-step explanation:

T₁ = 1² + 4·1 + 2 = 7

T₂ = 2² + 4·2 + 2 = 14

T₃ = 3² + 4·3 + 2 = 23

Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.

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Solution to the inequality is V < 0.6

In mathematics, inequality  is the relationship between two values that are not equal

Add 1.4 to both sides of equation -2 > v - 1.4

-2+1.4 > v -1.4 +1.4

- 0.6 > v

Move the variable to the left and flip the inequality because of the negative

V < 0.6

Therefore, the solution for the inequality is V < 0.6

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The value of A is 32.

The value of B is 28.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A : 6 : 7 = 8 : 24 : B

This means,

6 units = 2432

1 units = 24/6

1 units = 4

Now,

The value of A.

A = 8 units

1 unit = 4

8 units = 8 x 4 = 32

The value of B.

B = 7 units

1 unit = 4

7 units = 7 x 4 = 28

Thus,

A = 32

B = 28

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Answer: x = 34

Step-by-step explanation:

Add 19 and 15 in your head. 9 + 5 = 14. Now, add 10 + 10 + 14. This gives 34.

For, Janice and Oliver have the same number of marbles, it will take 8 weeks.

A term in an algebraic expression that is referred to as a linear expression is either a constant or a variable raised to the first power. Or, to put it another way, none of the exponents can be higher than 1.

Positive or negative numbers can be used as coefficients in linear equations. It matters what the exponent is. When one variable in the equation is raised to a power greater than 1, the entire equation becomes nonlinear.

Given,

Oliver presently has 10 marbles and is collecting 5 per week, whereas Janice currently has 26 marbles and is adding 3 each week.

Let x be the number of weeks.

This implies,

Algebraic equation,

26 + 3x = 10 + 5x

26 - 10 = 5x - 3x

16 = 2x

x = 16/2

x = 8

So that Janice and Oliver have the same number of marbles, it will take 8 weeks.

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Answer:

1. 280

2. 4140

Step-by-step explanation:

Answer:

Angles I and E are congruent

Step-by-step explanation:

Remember, you can split the kite in half and see it for yourself

Constant of Proportionality = 15.20

What's proportionality?

Suppose there are two amounts. Proportionality indicates that if there's a change in the value of one number, the value of other number also changes but maintaining a constant ratio

Proportionality can be direct or inverse

Direct proportion

Two amounts are said to be in direct proportion if on increasing the value of one number, the value of other number also increases and vice versa.

For illustration cost of a commodity and volume of a commodity are in direct proportion

Inverse proportion

Two amounts are said to be in inverse proportion if on increases the value of one number, the value of other volume diminishes and vice versa.

For illustration Number of men and number of days taken by those men to complete a job

From the table, we can calculate the constant of proportionality

Constant of Proportionality =

                                                [tex]\frac{304 - 243.20}{20 -16}\\\frac{60.80}{4}\\15.20[/tex]

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The account will reach $5500 after approximately 33.3 years have passed.

The simple interest formula is I = P x r x t, where I is the interest earned, P is the principal (the initial amount of money deposited), r is the annual interest rate, and t is the time in years.

You can rearrange this formula to solve for t: t = I / (P x r).

In this case, I = $500 (the difference between the final balance and the initial balance), P = $5000 (the initial amount deposited), and r = 0.3% (the annual interest rate).

Plugging these values into the formula, we get:

t = $500 / ($5000 x 0.3%)

t = $500 / ($5000 x 0.003)

t = $500 / $15

t = 33.333...

To the nearest tenth of a year, it will take approximately 33.3 years for the account to reach $5500.

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Answer:

Step-by-step explanation:

The proportional relationships for each case are described as follows:

I. Direct proportional relationship.

II. Inverse proportional relationship.

III. Direct proportional relationship.

There are two ways to classify proportional relationships, and these two ways are listed as follows:

These two classifications are described as follows:

Then the only inverse proportional relationship is given by item ii, where it is said that the time decreases and the number of workers increases.

Three relationships are described below: I. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. II. The amount of time needed to paint a house decreases as the number of painters increases. III. The income of a worker who gets paid an hourly wage depends on the number of hours worked. What type of variation describes each relationship?

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Answer:

d=8

t=9

Step-by-step explanation:

2.75x8=$22

2x9=$18

22+18=40

d=8

t=9

Answer:

2.75d+2t <= 40

Step-by-step explanation:

The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

The simple interest earned can be calculated by using this formula

A = P(1 + rt)

A is the future value.

P is the principal value.

r is the interest rate.

t is the time.

Now Substituting the values into the formula, we have,

A = 16,000[1 + (0.08 × 3)]

A = 16,000[1 + 0.24]

A = 16,000× 1.24

Future value, A = $19,840.

Following that, we will compute the monthly payment over a 36-month period as follows:

Monthly payment = Future value/Time

Monthly payment = 19,840/36

Monthly payment = $551.11

Similarly, we will compute the credit card's compound interest:

A = 16000[1 + (0.15/12)]⁽¹² ˣ ⁷⁾

A = 16000[1 + 0.025]⁸⁴

A = 16000× 1.025⁸⁴

A = 9000 × 3.49258954

Future value, A = $45425.80

Following that, we will compute the monthly payment over an 84-month period as follows;

Monthly payment = Future value/Time

Monthly payment = 45425.80/84

Monthly payment = $540.78.

Thus, the monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

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Answer:

THE SLOPE IS 16

Answer: The slope is 16/1 which is just 16.

Step-by-step explanation:                                                                                                              

Answer: 9-11 = -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

11 - 9 = 2

2 -----> -2

OR

9 - 11 = -2

Answer:A

Step-by-step explanation:

The initial height is 12 feet.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3 (x + 4)² + 12

The constant value = 12

The constant in the simplified form of the expression represents the initial height, in feet, of the ball.

So,

The initial height is 12 feet.

Thus,
Initial height = 12 feet.

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Answer:

33.4%

Step-by-step explanation:

60+33.4%=80

60x1.334=80

The velocity of the baseball at 3.1 seconds into the flight is 7.84m/s.

What is velocity?

Velocity simply implies the speed and the direction at which an object is moving.

Since Harold throws a baseball up at 24.3m/s and he takes a photo at 3.1 seconds into the flight.

The velocity of the baseball will be:

Velocity = Distance / time

Velocity = 24.3 / 3.1

Velocity = 7.84 m/s

The velocity is 7.84 m/s.

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The baseball's speed is 7.84 m/s at 3.1 seconds into its flight.

What is velocity?

Simple definition: Velocity denotes the movement of an object's speed and direction.

Since Harold launches a baseball at a speed of 24.3 meters per second and snaps a picture 3.1 seconds into the flight.

The velocity of the baseball will be:

Velocity = Distance / time

Velocity = 24.3 / 3.1

Velocity = 7.84 m/s

The velocity is 7.84 m/s.

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The equation in standard form is, [tex]y=-6x^2+48x-97[/tex].

What is quadratic form?

A polynomial with all terms of degree two is known as a quadratic form in mathematics. A quadratic form with the variables x and y is, for instance, 4x^2 + 2xy - 3y^2. It is common to refer to a quadratic form over K when the coefficients are typically members of a specified field K, such as the real or complex numbers.

Consider, the given quadratic form

[tex]y=-6(x-4)^2-1\\[/tex]

Simplifying this,

[tex]y=-6(x^2-8x+16)-1\\y=-6x^2+48x-96-1\\y=-6x^2+48x-97[/tex]

Therefore, the standard form of the given quadratic form is, .[tex]y=-6x^2+48x-97[/tex]

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The interest earned at the end of the period by Jones is $5600.

It should be noted that the simple interest is calculated as:

= Principal × Rate × Time

In this case, Jones deposited $40,000 in a bond and earned simple interest at 7% annually for two year

The interest will be:

= Principal × Rate × Time

= $40000 × 7% × 2

= $40000 × 0.07 × 2

= $5600

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The percentage error of Bob’s measurement to the nearest tenth of a percent is 3.87%

The percentage error is The difference between the estimated value and the actual value in relation to the actual value is given as a percentage. Analyst use this formula to determine how big is the error in a relation to true value.

Here, given that

The experimental volume of liquid is 18.8 ml, and the actual volume of liquid is 18.1 ml

i.e. exprimental volume=18.8 mL

and, actual volume=18.1 mL

Now, we will calculate the percentage error

So,

percentage error=((Exprimental value-Actual value)/(Actual value))∙100

percntage error=((18.8-18.1))/18.1∙100

percentage error=0.7/18.1∙100

percentage error=0.0387∙100

percentage error=3.87%

Thus,

       We got percentage error of 3.87% in measurement

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The converse of the given statement is if b+6 is odd then b is odd

And the converse statement is valid

The correct statement is option 1)

What is an odd number?

A number which on dividing by 2 gives remainder as 1 is known as odd number and a number which gives remainder 0 on dividing by 2 is known as even number

We are given a statement as if b is odd then b+6 is odd

The converse of the given statement would be

if b+6 is odd then b is odd

And the statement is true as 6 is an even number then if b+6 is odd iff b is odd

Hence the correct statement is option 1

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The ∠3+ ∠1 = 90°. in the given figure are the same just using the properties of Vertically angles.

What is Vertically opposed angles?

Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.

∠1  and ∠2 are vertical angles, which means ,

∠1  =∠2

Given in the question is ∠3+ ∠2 = 90

As both ∠1  and ∠2 are the same so we can write ∠3+ ∠1 = 90°.

Hence, The ∠3+ ∠1 = 90°. in the given figure are same.

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The sum of all positive integers such that their expression in base 7 digits is the reverse of their expression in base 16 digits is 58.

Natural numbers are numbers used in mathematics for counting (as in "there are six coins on the table") and ranking (as in "this is the third largest city in the country"). Cardinal numbers are used for counting, and ordinal numbers are used for ordering. Natural numbers, which have no mathematical features, are sometimes employed as labels.

When the number is a 1 digit number (1 digit number in base 7)- the numerals 0, 1, 2, 3, 4, 5, and 6

When the number is a 2 digit number=a×7+b=b×16+a / subtract (a+b) a×6=15×b / divide by 3 2a=5b indicating an is divisible by 5 meaning a=5 (since if a=0 then b=0 and the phrase ab is not defined because the digit that indicates the highest number in a given number cannot be 0) meaning b=2. So there is just one two-digit number=52 (in base 7)=37. (in base 10).

When the number is three digits, subtract (a+c+7b) 48a=255c+9b / divide by three 16a=85c+3b. c cannot be 0 because this indicates that the expression cba is not defined.

If c=1, 16a=85+3b

There are no answers to that problem. If c>1, this suggests that 16a=85c+3b>=170, implying that a>6. This, however, is not possible! As a result, there is no solution.

As a result, the sum of all positive integers is 58.

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Answer:

12 eggs

Step-by-step explanation:

divide 132 by 11. hope this helped :)

Answer:

12 eggs per minute

Step-by-step explanation:

To find the unit rate, take the number of eggs and divide by the number of minutes

132eggs / 11 minutes

12 eggs per minute

Currently, Zoe's age is nine years old

From the question, we have the following mathematical statements:

The above means that:

x = y - 2

x² + 4y =  125

Where x represents Zoe's and y represents Keilantra

Make y the subject in x = y - 2

y = x + 2

So, we have

x² + 4(x + 2_ =  125

Expand

x² + 4x+ 8 =  125

Evaluate

x² + 4x - 117 = 0

Using a graphing calculator, we have

x = 9

Recall that:

x represents Zoe's

Hence, Zoe;s age is 9

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