What are the solutions to the following absolute value equation? |x+1|-3=5

Answer:

Expand the polynomial using the FOIL method.

2 x 2 − 7 x + 3

Step-by-step explanation:

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

Answer:

320

Step-by-step explanation:

set up a proportion:   24 =  x  

                                   60      800

cross-multiply:  60x = 19200

                          x = 19200/60

                          x = 320

This can be solved using simple algebra.

Let's take the base as x

It's give that the height is the base - 5.

So, the height is (x - 5)

Now plug those in the formula for finding the area of the triangle and you get:

(x^2 - 5x)/2 = 42

x^2 - 5x = 84

x (x - 5) = 84

After solving the equation, you get x = 12 and x = -7. Since lengths can't be negative, we ignore the one with the negative value.

Since x was the base, the base = 12 and the height was x - 5 so 12 - 5 = 7

:D

Answer:

Step-by-step explanation:

1. Get mileage per gallon by dividing miles traveled by gallons used

\(\frac{125}{5} = 25 mpg\\\)

2. Divide miles you want to travel by the mileage per gallon you got on the first step

\(\frac{400}{25} = 16 gallons\)

Answer:

3.14 cm²

Step-by-step explanation:

The formula to find the area of a circle is:

A = πr²

Here,

r ⇒ radius ⇒ 1 cm

Let us find it now.

A = πr²

A = 3.14 × 1 × 1

A = 3.14 cm²

Chester would get approximately 37 special prizes if he opened 183 boxes.

To predict the number of special prizes Chester would get if he opened 183 boxes, we can use the proportion of the number of special prizes to the number of boxes opened.

If Chester opened 10 boxes and found 2 special prizes, the proportion is = 2/10

= 1/5.

If we scale up this proportion to 183 boxes, we can estimate the number of special prizes he would get:

= (1/5) * 183

= 36.6

this approximately 37 special prizes to the nearest whole number

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Answer:

This is the correct answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The probability of tossing "heads" on each of your first two tosses is 0.25

Probability = n(E)/n(S)

Where E is the possibility of an event occurring

and S is the sample space i.e., the total number of possible outcomes.

Probability is the measure of how likely an event can happen. The probability of any event lies between 0 and 1 only.

The sample space for when you toss one coin is - H, T

So the probability to get an H is= 1/2

=0.5

Similarly, The sample space for when you toss two coins is HH, TT, HT, TH

So, the probability to get an H on each of your first two tosses is = 1/4

=0.25

Therefore, The probability of tossing "heads" on each of your first two tosses is 0.25

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In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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Answer:

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jefferson2019

07/12/2018

Mathematics

High School

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a rectangle bookcase 60 inched long and 30 inches wide. how long is the diagonal? round to the nearest inch

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It will be roughly 67.08 inches.

We can solve this using the Pythagorean Theorem, which is listed below.

In this equation, we use a and b as legs of a triangle and c is the hypotenuse. We can treat the length and height of the bookcase as legs and use this equation to solve for the diagonal (also known as the hypotenuse)

67.08 = c

Answer:

he would need to mow lawns for 8 hours

Step-by-step explanation:

The equation that represents x, the side length of the greater square is this:  x² + (x-2)²= 100.

The equation that represents x, the greater side length is  x² + (x-2)²= 100. According to the instruction from the teacher, one of the squares should have a side that is two units greater than the first side.

So, if the first side was x, then the new side will be x2 and the same will be true of side, x -2 which now becomes (x-2)². Of course, multiplying a side 10 by 10 will also give 100. So, the correct equation will be C.

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Answer:

\(x > 60\)

Step-by-step explanation:

\(x-30 > 30\)
\(x > 60\) (add 30 onto both sides of the inequality)

Answer:

37 R0

Step-by-step explanation:

740/20=37, so there is no remainder.

I hope this helps you! Have a great day c:

Dividing 20 by 740 gives us remainder 20 and quotient 0.

To find the result of 20 divided by 740 with a remainder,

Perform the division and take note of the quotient and remainder.

20 ÷ 740 = 0 with a remainder of 20.

Division is a mathematical operation that involves splitting a number (the dividend) into equal parts,

with a divisor indicating how many parts we want to split it into.

The quotient is the number of equal parts, and the remainder is what's left after have split the dividend into as many equal parts as possible.

20 divided by 740, we are trying to find out how many times 740 can fit into 20.

Since 740 is much larger than 20, it cannot fit even once.

So, the quotient is 0, indicating that 0 whole units of 740 can fit into 20.

However, there is a remainder of 20.

The remainder represents the portion of 20 that cannot be evenly divided by 740.

It is what remains after we have divided the dividend by the divisor as many times as possible.

Therefore, 20 divided by 740 is 0 with a remainder of 20.

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Answer:

2.3 meters = 2300

23 dekameters= 230 meters

... that's kinda all I got

Step-by-step explanation:

Answer:

(x, -y)

Step-by-step explanation:

When you reflect across the x-axis, the point moves vertically up or down to the other side of the x-axis. The x-coordinate of the point remains the same. The y-coordinate of the point becomes the opposite of the original value.

x remains x. y becomes -y.

Answer: (x, -y)

Answer:

{2, 2.0625, 2.25, 2.5625, 3}

Step-by-step explanation:

To find the range we can simply plug in the values of the domain and solve for the range. (The domain is the x-values)

Assuming x2 means x^2, we can plug in 0, 0.25, 0.75, 0.5, and 1 for x

0^2+2=2

0.25^2+2=0.0625+2=2.0625

0.5^2+2=0.25+2=2.25

0.75^2+2=0.5625+2=2.5625

1^2+2=1+2=3

Thus, the range is {2, 2.0625, 2.25, 2.5625, 3}

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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The per capita emissions for each country is:

Using this formula to find the  Per capita emissions for each country

Per capita emissions = C02 Emission (tons of carbon dioxide ) /  Total emissions by population

China

Per capita emissions =8,782,000,000/1,359,750,000

Per capita emissions = 6.46

United States

Per capita emissions =5,144,000,000/316,597,000

Per capita emissions= 16.25

India

Per capita emissions = 2,185,000,000 /1,233,460,000

Per capita emissions = 1.77

Russia

Per capita emissions=1,646,000,000/143,400,000

Per capita emissions = 11.48

Japan

Per capita emissions = 1,232,000,000/127,310,000

Per capita emissions = 9.68

Germany

Per capita emissions = 733,000,000/80,523,700

Per capita emissions = 9.10

Iran

Per capita emissions = 583,000,000/76,876,000

Per capita emissions = 7.58

South Korea

Per capita emissions = 576,000,000/50,219,669

Per capita emissions = 11.47

Indonesia

Per capita emissions = 535,000,000/237,641,326

Per capita emissions = 2.25

Canada

Per capita emissions = 528,000,000/35,141,542

Per capita emissions =15.02

Therefore China per capita emissions is 6.46.

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Answer:

What is the role of ethnocentrism in defining the concept of “progress”

Step-by-step explanation:

Answer:

-5 and -3

Step-by-step explanation:

-2x + 1 > 6

\(-2(-\frac{5}{2}) + 1 > 6\\6 > 6\)

Not an answer

-2(-5) + 1 > 6

11 > 6

An answer

-2(-2) + 1 > 6

5 > 6

Not an answer

\(-2(-\frac{3}{2}) + 1 > 6\\4 > 6\)

Not an answer

-2(0) + 1 > 6

1 > 6

Not an answer

-2(-3) + 1 > 6

7 > 6

An answer

Answer:

96 ft^2

Step-by-step explanation:

volume=l^3

l=4

4x4x4=64

Surface area (4x4)=16

16x6=96

Answer:

SA =96 ft^2

Step-by-step explanation:

The volume of a cube is given by

V = s^3

64 = s^3

Take the cube root of each side

64 ^ 1/3 = s^3 ^ 1/3

4 =s

The side length si 4

The surface area of a cube is

SA = 6 s^2

SA = 6 * 4^2

SA = 6 * 16

SA =96 ft^2

The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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Answer:

To find the coordinates of A' after the translation, we need to apply the motion rule to the coordinates of A:

(x, y) → (x + 2y - 5, y - 6)

Substituting the coordinates of point A, which is (4, -4), into this motion rule, we get:

A' = (4 + 2(-4) - 5, -4 - 6) = (-3, -10)

Therefore, the coordinates of A' after the translation are (-3, -10).

Answer:

The area of this triangle is (1/2)(9)(8) = 36.

The probability that the student is in orchestra or band is 0.07 or 7%.

Here we know the distributions:

Then the percentage of students that is in the orchestra or in the band (or in both) is given by:

3% + 5% - 1%

We are subtracting the 1% because these ones are in both groups, so we are counting them twice.

Then the percentage is:

P = 3% + 5% - 1% = 7%

So the probability is given by:

P = 7%/100% = 0.07

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Answer:

1/12

Step-by-step explanation:

First we have to calculate the sample space i.e. The total number of outcomes,

(H represents heads, T represents Tails and Numericals represent the number on the die)

H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

= 12 sample spaces

Ok now so what is the probability that the die lands on 4 and it pops up as heads. So when we see the total outcomes we see that such event has only one such outcome

The number of outcomes/Total number of outcome

So therfore we can represent it in fraction as

1 / 12