What document changed the purpose of the Civil War from one of states' rights to that of slavery?

the Thirteenth Amendment
Declaration of Independence
the Fugitive Slave Law
Emancipation Proclamation

Answer:

8 and 5

Step-by-step explanation:

The sum of 8 and 5 implies

8 + 5 = 13

The difference between 8 and 5 implies:

8 - 5 = 3

Therefore, the sum of two numbers that gives 13 and their difference being 3 are 8 and 5.

We know that 1/2 as a decimal is 0.5. Any decimal/fraction between 0.5 and 1 will be correct. For Example, 0.75 is greater than 0.5 but less then 1. 0.75 as a fraction is 3/4.

Best of Luck!

Answer:

$3.34

Step-by-step explanation:

$1.39 x 2.4 = $3.336

Answer:

next year the cost of bread will rise to $3.34

After 28 years, there will be approximately $48,505.29 in the account.

To calculate the amount of money that will be in the account after 28 years with an annual interest rate of 8.25%, we can use the formula for compound interest:

[tex]\[ A = P \times (1 + r)^n \][/tex]

Where:

- A  is the amount of money accumulated after  n years, including interest.

- P  is the principal amount (the initial amount of money), which is $6700 in this case.

- r  is the annual interest rate (in decimal form), which is 8.25% or 0.0825.

- n is the number of years, which is 28 in this case.

Plugging in the values into the formula:

[tex]\[ A = 6700 \times (1 + 0.0825)^{28} \][/tex]

Calculating the value:

[tex]\[ A = 6700 \times (1.0825)^{28} \][/tex]

[tex]\[ A \approx 6700 \times 7.2417 \][/tex]

[tex]\[ A \approx 48,505.29 \][/tex]

Answer:

2x⁴y²

Step-by-step explanation:

The question gives us the expression;

12x⁷y³ ÷ 6x³y

We are supposed to simplify the expression;

First we could divide the digits;

12 ÷ 6 = 2

Then we divide the like terms;

x⁷ ÷ x³

This means;

[tex]=\frac{x*x*x*x*x*x*x }{x*x*x}[/tex]

[tex]= x*x*x*x[/tex]

[tex]=x^4[/tex]

y³ ÷ y

That is;

[tex]=\frac{y*y*y}{y}[/tex]

[tex]=y*y[/tex]

[tex]=y^2[/tex]

Therefore, the simplified expression will be 2x⁴y²

Final answer:

The expression to determine how much more time Sacha spent on math than on science is y - x.

Explanation:

To determine how much more time Sacha spent on math than on science, we need to find the difference between the time spent on math and science. Let's say Sacha spent x amount of time on science and y amount of time on math. The expression that represents the difference between the time spent on math and science is y - x.

Therefore, the correct expression to determine how much more time Sacha spent on math than on science is y - x.

For 57 to be a prime number, it would have been required that 57 has only two divisors, i.e., itself and 1. However, 57 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 57 = 3 x 19, where 3 and 19 are both prime numbers.

Answer: No

Step-by-step explanation: For 57 to be a prime number, it would have been required that 57 has only 2 divisors, ie itself and 1. How ever 57 is a semiprime because it is the product of a two non- necessarily distinct prime numbers. inderd, 57= 3×19, where 3 and 19 are prime numbers.

Answer:

Proportionality

Step-by-step explanation:

Answer: -425

Step-by-step explanation:

1) 21 is 12.50% of 168.

2) 4% of 150 is 6.

3) 1% of 500 is 5.

4) 62% of 50 is 31.

5) 15% of 15 is 2.25

6) 40 percent of 25 is 10.

Step-by-step explanation:

1). 21 is what percent of 168.

Let,

x be the percent.

Therefore,

x% of 168 = 21

[tex]\frac{x}{100}*168=21[/tex]

[tex]1.68x=21[/tex]

Dividing both sides by 1.68

[tex]\frac{1.68x}{1.68}=\frac{21}{1.68}\\x=12.50[/tex]

21 is 12.50% of 168.

2). What is 4 percent of 150.

4% of 150 = [tex]\frac{4}{100}*150[/tex]

4% of 150 = [tex]\frac{600}{100} = 6[/tex]

4% of 150 is 6.

3) 1 percent of 500 is what number

1% of 500 = [tex]\frac{1}{100}*500[/tex]

1% of 500 is 5.

4) what number is 62 percent of 50

62% of 50 = [tex]\frac{62}{100}*50[/tex]

62% of 50 = [tex]0.62*50=31[/tex]

62% of 50 is 31.

5) 15 percent of 15 is what

15% of 15 = [tex]\frac{15}{100}*15[/tex]

15% of 15 = [tex]\frac{225}{100}=2.25[/tex]

15% of 15 is 2.25

6) 40 percent of 25 is what number

40% of 25 = [tex]\frac{40}{100}*25[/tex]

40% of 25 = [tex]\frac{1000}{100}=10[/tex]

40 percent of 25 is 10.

Keywords: percentage

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Answer:

15. ∠ABE = 50°

16. ∠EBD = 10n - 19

Step-by-step explanation:

If [tex]$ \overline{\textbf{BE}} $[/tex] bisects ∠ABD then we have ∠ABE = ∠DBE

So, we will have: (6x + 2)° = (8x - 14)°

⇒ 6x + 2 = 8x - 14

⇒ 8x - 6x = 14 + 2

⇒ 2x =16

⇒ x = 8

∴ ∠ABE = 6(8) + 2

= 48 + 2

= 50°

∴∠ABE = 50°

16. If [tex]$ \overline{\textbf{BE}} $[/tex] bisects ∠ABD then ∠ABE + ∠EBD = ∠ABD

⇒(12n - 8) + ∠EBD = (22n - 11)

⇒ ∠EBD = 22n - 11 - 12n + 8

⇒ ∠EBD = 10n - 3

Hence, the answer.

Answer:

Laura and Erica will both have made 16 blankets in one more day.

Step-by-step explanation:

i) Erica has made 10 blankets already.

ii) Erica can make 6 blankets more per day

iii) Laura has completed 6 blankets already

iv) Laura can complete 10 more blankets per day.

v) Let x be the number of days to the point when they will have completed the same number of blankets

vi) Therefore the number of blankets that Erica makes till x days is = to the number of blankets that Laura makes till x days

vi) therefore 10 + 6x  = 6 + 10x    ⇒   4x  = 4    ⇒ x = 1 day

vii) Therefore Laura and Erica will both have made 16 blankets in one more day.

Answer:

See explanation

Step-by-step explanation:

Use formula

[tex]I=P\cdot r\cdot t,[/tex]

where

I = interest,

P = principal,

r = rate (as decimal),

t = time

In your case,

[tex]P=\$1,539\\ \\r=0.01[/tex]

If [tex]t_1=5[/tex] years, then

[tex]I_1=1,539\cdot 0.01\cdot 5=76.95[/tex] and the whole sum is [tex]\$1,539+\$76.95=\$1,615.95[/tex]

If [tex]t_2=10[/tex] years, then

[tex]I_2=1,539\cdot 0.01\cdot 10=153.9[/tex] and the whole sum is [tex]\$1,539+\$153.9=\$1,692.9[/tex]

If [tex]t_3=15[/tex] years, then

[tex]I_3=1,539\cdot 0.01\cdot 15=230.85[/tex] and the whole sum is [tex]\$1,539+\$230.85=\$1,769.85[/tex]

Answer: 19 /4 or 4 3/4

Step-by-step explanation:

Turn 67/8 into a improper fraction, which is 55/8

Next, also convert 21/8 into an improper fraction, which is 17/8

Next, subtract 17/8 from 55/8 and you should get 38/8

Last, simplify 38/8 to do so divide 38/8 by 4/4 and you should get 19/4 and if you want it's optional to turn it into a mixed number.  

The estimate of the difference between the two fractions is: 4 3/4 = 4.75 ≈ 5.

To find the difference of two fractions means that subtract one from the other.

Thus:

Difference between 6 7/8 and 2 1/8 = 6 7/8 - 2 1/8

Change the mixed fraction to improper fractions

55/8 - 17/8

= (55 - 170/8

= 38/8 = 19/4

= 4 3/4 = 4.75 ≈ 5.

Therefore, the estimate of the difference between the two fractions is: 4 3/4 = 4.75 ≈ 5.

Learn more about fractions on:

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Answer:

21

Step-by-step explanation:

You know the length of JK 12

you also know the length of GF 2.5*12=30

HL is a mid segment because it cuts both legs it intersects in half.

Using the rule saying that the mid segment is half the bases added up we can figure out that HL = (12+30)/2 = 21

Answer:

21

Step-by-step explanation:

Find attached the solution

Answer:

C I think

Step-by-step explanation:

yeyeye

Answer:

[tex]x_{1}[/tex] = 1, [tex]x_{2}[/tex] = 4, so your answer is C

Step-by-step explanation:

Answer:

The values are [tex]x=\frac{7}{2}[/tex] and [tex]y=\frac{5}{2}[/tex]

The solution is ([tex]\frac{7}{2}[/tex],[tex]\frac{5}{2}[/tex])

Step-by-step explanation:

Given equations are [tex]5x=7y\hfill (1)[/tex] and

[tex]x+7y=21\hfill (2)[/tex]

To solve the given equations by elimination method:

Equation (1) can be written as  [tex]5x-7y=0\hfill (3)[/tex] and

Now multiply the equation (2) into 5 we get

[tex]5x+35y=105\hfill (4)[/tex]

Subtracting equations (3) and (4) we get

[tex]5x-7y=0[/tex]

[tex]5x+35y=105[/tex]

_________________

-42y=-105

[tex]y=\frac{105}{42}[/tex]

Therefore [tex]y=\frac{5}{2}[/tex]

Substitute  the value [tex]y=\frac{5}{2}[/tex] in equation (1) we get

[tex]5x=7\times \frac{5}{2}[/tex]

[tex]5x=\frac{35}{2}[/tex]

[tex]x=\frac{35}{2\times 5}[/tex]

[tex]x=\frac{7}{2}[/tex]

Therefore [tex]x=\frac{7}{2}[/tex] and [tex]y=\frac{5}{2}[/tex]

The solution is ([tex]\frac{7}{2}[/tex],[tex]\frac{5}{2}[/tex])

Answer:

2 weeks and 5 days

Step-by-step explanation:

Final answer:

Raphael ran for a total of 5 weeks, calculated by dividing the total number of days he ran (35 days) by the number of days in a week (7 days).

Explanation:

Raphael runs for 35 days in a row, and we need to calculate how many weeks he runs. A week consists of 7 days. To find out the number of weeks Raphael ran, we divided the total number of run days by the number of days in a week.

Number of weeks = Total run days / Days in a week = 35 / 7 = 5

Therefore, Raphael ran for 5 weeks, illustrating the duration of his consistent running routine in terms of weeks. This computation provides a clear understanding of the duration of Raphael's running streak in a familiar time frame, aiding in tracking and planning his exercise regimen.

Plot the vertices A'(-12, 9), B'(9, 3), and C'(6, -3) on the coordinate plane. Label them as A', B', and C', respectively.

To determine the coordinates of the dilated triangle A'B'C', we can follow these steps:

1. Find the coordinates of the original triangle's vertices: A(-4, 3), B(3, 3), and C(2, -1).

2. Dilate each vertex from the origin by a scale factor of 3. This means we will multiply the x and y coordinates of each vertex by 3.

- For vertex A: Multiply -4 by 3 to get -12 and multiply 3 by 3 to get 9. Therefore, the coordinates of A' are (-12, 9).
- For vertex B: Multiply 3 by 3 to get 9. The y-coordinate remains the same at 3. Therefore, the coordinates of B' are (9, 3).
- For vertex C: Multiply 2 by 3 to get 6 and multiply -1 by 3 to get -3. Therefore, the coordinates of C' are (6, -3).

3. Plot the vertices A'(-12, 9), B'(9, 3), and C'(6, -3) on the coordinate plane. Label them as A', B', and C', respectively.

Note: The original triangle ABC remains unchanged on the coordinate plane.

By following these steps, you will have successfully determined the coordinates of the dilated triangle A'B'C' and plotted it on the coordinate plane.

Answer:

g

Step-by-step explanation:

it asks u to multiply 3g and 1/3, going u one third of 3g, resulting in g

Answer:

The equation of the line is:  y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form:    [tex]$ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}} }$[/tex]

where [tex]$ (x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2) $[/tex] are the points passing through the line.

Here, let us take two points (can be any two):

[tex]$(x _1, y_1) = (1, 5) $[/tex] and

[tex]$ (x_2, y_2) = (5, 9) $[/tex]

Therefore, we have:

[tex]$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $[/tex]

[tex]$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $[/tex]

[tex]$ \iff y - 5 = x - 1 $[/tex]

[tex]$ \implies y = x - 1 + 5 $[/tex]

[tex]$ \implies y = \textbf{x + 4} $[/tex] which is the required answer.

Answer: 0.47382

Step-by-step explanation:

The percent of 47.382 is dividing the figure by 100%

47.382/100= 0.47382

Answer:

4 units

Step-by-step explanation:

In triangle DEF, DK is the angle bisector of angle EDF.

Angle bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.

Hence,

[tex]\dfrac{DE}{DF}=\dfrac{EK}{KF}[/tex]

Thus,

[tex]\dfrac{DE}{10}=\dfrac{2}{5}\\ \\5DE=2\cdot 10\\ \\5DE=20\\ \\DE=4[/tex]

Answer:

(2.5, -.25)

Step-by-step explanation:

I'm not positive that I know exactly what they want on this one....but since you specifically asked me to look at your other question, I tried.

See pic.

Answer:

Its C Hope dis helps!!!

Step-by-step explanation:

Without the actual data, we cannot definitively decide the correct exponential model for the population of the District of Columbia. The options provided all share the same initial quantity, with different growth factors. To pick one, we would need data on the annual population growth or decline.

The question is asking us to choose an exponential model of the form a ∙ bx that best represents the population of the District of Columbia for years after 2005. As we are not provided actual data on the population growth or decline, we can't definitively choose between the options. In this kind of model, a is the initial quantity (population in the year 2005), and b is the growth factor per the time period (in this case: annually). In all options provided we have the same initial quantity '550,521'. The difference is in the growth factors .993, .990, .992, and .991. Without the actual data, we cannot definitively pick one. However, if the population is declining each year, you'd expect the growth factor to be less than 1. In case if it's growing you'd expect it to be more than 1.

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Step-by-step explanation:

Given points are (-6,3) and (4,-3)

[tex]x_1=-6 ,[/tex]    [tex]y_1=3[/tex] ,  [tex]x_2= 4[/tex]    and  [tex]y_2 = -3[/tex]

Coordinate of mid point [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

                                     [tex]=(\frac{-6+4}{2} ,\frac{3+(-3)}{2})[/tex]

                                      =(1,0)