catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. express the amount of debt remaining as a function of time in months

After simplifying the expression 2(3a-2)+4a, we get 10a-4, which is not equivalent to 10a-2 due to a difference of 2.

To determine if the expression 2(3a-2)+4a is equivalent to 10a-2, we must simplify the former expression.

First, distribute the 2 into the parenthesis: 2 × 3a is 6a, and 2 × -2 is -4. So we get 6a - 4.

Next, we add the 4a that is outside the parenthesis to the 6a we got after distribution: 6a + 4a equals 10a.

Now we have 10a - 4. This is close to 10a-2 but there is a difference of 2. Therefore, the two expressions are not equivalent.

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Answer:

8/27 is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).

length is 8m

Width is 6.5m

Explanation:

Let, width = b

So, length = 2b-5

area = 52[tex]m^{2}[/tex]

We know,

area of rectangle = length X width

So, [tex]52m^{2}[/tex] = [tex](2b-5) X b[/tex]

On solving the above equation, we get

Width, b = 6.5m

length, l = 8m

Answer:

  68 1/3, 111 2/3

Step-by-step explanation:

The sum of two supplementary angles is 180°, so ...

  (x +10) +(2x -5) = 180

  3x +5 = 180 . . . . . collect terms

  x +5/3 = 60 . . . . . divide by 3

  x = 58 1/3 . . . . . . . subtract 5/3

The first angle is ...

  x +10 = 58 1/3 +10 = 68 1/3

The second angle is ...

  2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3

The angles measure 68 1/3 and 111 2/3.

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

The linear equation that passes through the point (2, -9) with a slope of -5 is y = -5x + 1.

To find the linear equation, we use the point-slope form of a line, which is:

y - y₁ = m(x - x₁)

Here,

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

Given:

Substitute the values into the point-slope form equation:

y - (-9) = -5(x - 2)

Simplify the equation:

So, the linear equation in slope-intercept form is y = -5x + 1.

Answer:

6.375 cups of raisins

Step-by-step explanation:

The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.

So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:

(4.25 ÷ 2) × 3 = 6.375

Answer:

Step-by-step explanation: they both equal 2x + 4

2x + 4=2(x + 4)

2x + 4= (2 X x) + (2 X 4)

2x + 4= 2x + 4

Answer:

Step-by-step explanation:

-7/4 = 2/5t

*5          *5

-35/4 = 2t

-8.75 = 2t

-4. 37

Answer:

You cant Simplify it an further

Answer:

0.1676

Step-by-step explanation:

Answer:

y-8+3y+12

4y+4

Step-by-step explanation:

y-8+3y+12

4y+4 is your answer

The original temperature conversion equation is Tc = 5/9 x (T-f - 32). When converting 176 degrees Fahrenheit, it is multiplied by 5/9 to get approximately 108.89 degrees Celsius.

The equation provided by the student, C = 5/9 x (F - 32), is used to convert a temperature from Fahrenheit (F) to Celsius (C). To find the factor to convert Fahrenheit to Celsius directly, we can manipulate the given formula. The request seems to be asking for the conversion factor that is applied to Fahrenheit to get Celsius. However, the original equation needs to be rewritten correctly as: TC = (5/9) × (T-F - 32). From this, we infer that each degree Fahrenheit is equivalent to 5/9 of a degree Celsius. Therefore, 176°F would convert to 176 × (5/9) = 980/9 or approximately 108.89°C.

If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right then 3 units up. This is location where she should plot the point.

Brittany graphs the plot (6,3), she should move 6 units to the right then 3 units up.

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

How to solve?

If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right and then 3 units up. This is a location where she should plot the point.

Learn more about graphs:

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Answer:

1,81, AND 100

Step-by-step explanation:

A PERFECT SQUARE IS A NUMBER THAT WHEN YOU MULTIPLY A NUMBER BY ITSELF, YOU WILL GET THAT NUMBER

1*1=1

9*9=81

10*10=100

Answer:

[tex]0.3846154[/tex]

Step-by-step explanation:

We want to perform the following division:

0.63 ÷ 1.638

Let us convert everything to fraction to get:

[tex]\frac{63}{100}\div \frac{1638}{1000}[/tex]

We multiply by the reciprocal of the second fraction to get:

[tex]\frac{63}{100}\times \frac{1000}{1638}[/tex]

[tex]=\frac{63}{1638}*10[/tex]

[tex]=0.03846154*10=0.3846154[/tex]

Final answer:

To find the result of 0.63 divided by 1.638, you multiply both numbers by 1000 to remove the decimals and then divide, resulting in approximately 0.384612.

Explanation:

The question asks for the result of dividing 0.63 by 1.638. To solve this problem, you perform division as you would with any two numbers. The steps are as follows:

Set up the division problem: 0.63 ÷ 1.638.

To make the division simpler, you can multiply both the divisor (1.638) and the dividend (0.63) by powers of 10 to remove the decimals. In this case, multiply both by 1000 to get 630 ÷ 1638.

Perform the division: 630 divided by 1638 equals approximately 0.384612.

Thus, 0.63 ÷ 1.638 is approximately 0.384612.

Answer:

x = 6, length = 8 cm and width = 7 cm

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Area of a rectangle = 56 cm²

Length of the rectangle = x + 2

Width of the rectangle= 2x - 5

2. Solve for x. Round to the nearest whole number.

Area of a rectangle = Length * Width

(x + 2) (2x - 5) = 56

2x² + 4x - 5x  -10 = 56

2x² - x  - 66 = 0

Factoring, we have:

(2x + 11) * (x - 6) = 0

x₁ = 2x + 11 = 0 ⇒ 2x = -11;  x₁  = - 5.5

x₂ = x - 6 = 0 ⇒ x₂ = 6

We picked x₂ because x₁ will give us negative values for length and width.

Length = 6 + 2 = 8 cm

Width = 2 * 6 - 5 = 12 - 5 = 7 cm

Answer:25yards

Step-by-step explanation:

Answer:

2.075

Step-by-step explanation:

ok so if a nail can only go 0.025 it 1 day is 200m cut into 24 if 8.3 cut in half gives u the answer

Answer:

ur numbers are 2 and -5

Step-by-step explanation:

7x + 3y = -1

x + y = -3......x = -3 - y

7(-3 - y) + 3y = -1

-21 - 7y + 3y = -1

-7y + 3y = - 1 + 21

-4y = 20

y = -20/4

y = -5 <====

x = -3 - y

x = -3 - (-5)

x = -3 + 5

x = 2 <====

Answer: The numbers are 2 and -5

Step-by-step explanation:

7x+3y=-1  ...(equation 1)

x+y=-3    ...(equation 2)

x+y=-3

Broken down, we have x=-3-y

Substitute x=-3-y into equation 1

Then we have 7(-3-y) +3y=-1

Which is -21-7y+3y=-1

which is -21-4y=-1

-4y=-1+21=20

y=-20/4=-5

y=-5

Substitute y=-5 into equation 1  

x+y=-3

x-5=-3

x=-3+5=2

x=2

Answer:

c=-16

Step-by-step explanation:

We want to solve for c in the equation:

-12=4+c

We add the additive inverse of 4 to both sides of the equation to obtain:

[tex] - 12 + - 4 = 4 + - 4 + c[/tex]

We simplify to obtain:

[tex] - 12 - 4 = 4 - 4 + c[/tex]

We simplify further to get:

[tex] - 16= 0 + c[/tex]

Therefore

[tex] - 16 = c[/tex]

Or

[tex]c = - 16[/tex]

Answer:

5,290,000,000,000 written in words would be

five trillion, two hundred and ninety billion

Written in scientific notation would be

5.29*10^12

Step-by-step explanation:

When writing numbers in words you always want to go from left to right, the last three of your digit was in the hundreds place, then the next three were in the thousands place, than the millions, then the billions, and last was the trillions which is where we got five trillion to start out with, you next number was two hundred and ninety billion, because your next place value was in the billions.

When writing numbers using scientific notation you always want just one number to the left of the decimal point. When adding a decimal we put it right after the 5 because then we only have one number in front of the decimal point. Then you would go times 10 to the whatever power it is. In our case it was 12 because you go from your decimal point and count backwards til you get to the correct number that you want

-Hope this helps ;)

Answer:

See explanation

Step-by-step explanation:

Given the expression

[tex](5^{18}-25^8)(16^4-2^{13}-4^5)[/tex]

First, simplify all terms:

[tex]25^8=(5^2)^8=5^{2\cdot 8}=5^{16}\\ \\16^4=(2^4)^4=2^{4\cdot 4}=2^{16}\\ \\4^5=(2^2)^5=2^{2\cdot 5}=2^{10}[/tex]

Then the expression is

[tex](5^{18}-5^{16})(2^{16}-2^{13}-2^{10})[/tex]

Use distributive property in both factors:

[tex](5^{18}-5^{16})(2^{16}-2^{13}-2^{10})=\\ \\=(5^{16}(5^2-1))(2^{10}(2^6-2^3-1))=\\ \\=(5^{16}(25-1))(2^{10}(64-8-1))=\\ \\=5^{16}\cdot 24\cdot 2^{10}\cdot 55=\\ \\=5^{16}\cdot 4\cdot 6\cdot 2^{10}\cdot 5\cdot 11=\\ \\=5^{16}\cdot 2^{10}\cdot (4\cdot 11)\cdot (5\cdot 6)=\\ \\=5^{16}\cdot 2^{10}\cdot 44\cdot 30[/tex]

Therefore, this expression is divisible by 30 and by 44

A term with no variables is a constant term. Negative six is the constant in that because it does not have a variable like the other numbers.

Answer:

Constant Term

Step-by-step explanation:

Multiply the 2x by each term inside parentheses:

2x x x ^2 = 2x^3

2x x 2x = 4x^2

2x x -6 = -12x

Answer: A) 2x^3 + 4x^2 - 12x

Answer:

please mark me brainliest!

Step-by-step explanation:

Answer:

  8

Step-by-step explanation:

The term 8x is a product (as is any term). It is the product of a constant coefficient (8) and a variable (x). The "coefficient" is the multiplier of the variable of interest, so is 8 in this term.

_____

The word "coefficient" is often used to refer to the constant multiplier in any term. For example, in the term 6xy, if we just ask for the coefficient, we are interested in the value 6.

On the other hand, if we ask for the coefficient of y in that term, we expect to be told it is 6x. That is, the "coefficient" is the multiplier of the specified variable or constellation of variables.

The coefficient in the expression 8x is the number 8, which is the numerical factor that multiplies the variable x.

Identifying the Coefficient in the Expression 8x

To identify the coefficient in the expression 8x, we need to recognize that a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In the case of 8x, the coefficient is 8. This means that 8 is the number by which the variable x is being multiplied. Coefficients play a crucial role in equations and functions, as they determine the proportionality and scale of the variable's effect within the expression.

For example, if x represents the number of units sold, and each unit contributes 8 units of value, the expression 8x would represent the total value contributed by all units combined.

Answer:

1.a. it takes him 0.5 seconds to reach his max height.

.b. The highest point that he reached is 484 feet.

     -16×(0,5)^2+16×(0,5)+480=484

Answer:

[tex]10 \sqrt{3} {cm}^{2} [/tex]

Step-by-step explanation:

The area of a parallelogram is A=bh.

From the diagram, the base is b=5m

We now use the properties of 30°-60°-90° right angle to find h.

The sides of this triangle is given by x,½x,½x√3

Where x is 4

Therefore we have 4,2, 2√3

So we have h=2√3m

The area now is

[tex]A = 5 \times 2 \sqrt{3} = 10 \sqrt{3} {cm}^{2} [/tex]

a)The problem is about finding area of a plane figure

Answer:

B

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x)

f(3) = 5(3) - 7 = 15 - 7 = 8 → B

Answer:

c=16*pi

a=64*pi

Step-by-step explanation:

The circumference and area of a circle with a radius of 8 cm are 16 pi cm and 64 pi [tex]cm^2[/tex], respectively.

To find the circumference and area of a circle with radius 8 cm, we can use the following formulas:

Circumference = 2 * pi * radius

Area = [tex]pi * radius^2[/tex]

Plugging in the given value, we have:

Circumference = 2 * pi * 8 cm = 16 pi cm

Area =[tex]pi * 8^2 cm^2[/tex] = [tex]64 pi cm^2[/tex]

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Answer:

i forgot

Step-by-step explanation:

Answer: 25 percent of the class did not pass

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

This is a disguised GCF problem. If Jacqueline wants to use all the flowers she has, she must find the greatest common factor of the their numbers.

1. Determine the prime factors of each number and mark those that are common

The prime factors of 42 are 2        × 3             × 7  = 42

The prime factors of 36 are 2 × 2  × 3 × 3 × 3       = 36

The prime factors of 54 are 2        × 3 × 3 × 3        = 54

2. Multiply the common factors

The common prime factors of 42, 36. and 54 are 2 and 3.

The greatest common factor is 2 × 3 = 6.

Jacqueline can make six bouquets, and each will contain seven tulips, six carnations, and nine daffodils.  

Answer: The answer is 6

Step-by-step explanation:

Answer:

160

Step-by-step explanation: