Find the value of 3x - 4 given that - 2x+1=3.Simplify your answer as much as possible.3x - 4 =ÍХ

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

Learn more about parabola here:

https://brainly.com/question/28094027

#SPJ1

Answer:

Step-by-step explanation:

10 (10+2)

Answer:

the domain is the input or the x value, while the range consists of y values or the output of an input output table.

Step-by-step explanation:

Step-by-step explanation:

\( \frac{2}{4} + \frac{3}{8} = \\ = \frac{4 + 3}{8} = \\ = \frac{7}{8} \)

Answer:

The answer is 0.875 in decimal form but is 7/8 in fraction form

Step-by-step explanation:

Answer:

n/2 + 7

Step-by-step explanation:

Assume;

Given number = n

so,

Half of number = n/2

So,

Equation:

n/2 + 7

Answer:

3q+21

Step-by-step explanation:

Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

3(2+q)+15

Distribute:

=(3)(2)+(3)(q)+15

=6+3q+15

Combine Like Terms:

=6+3q+15

=(3q)+(6+15)

=3q+21

THAT SHOULD BE THE ANSWER

Ambitious

268 answers

76.4K people helped

This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.

For the first digit you can choose from the numbers 0,1,2...,9 or 10 choices.

Now the next 5 digits will all be letters all being different.. recall there are 26 letters in the alphabet.. for our second digit we have 26 choices, for our third digit we have 25 choices(because we already used one of the 26 letters and we can't repeat), for our fourth digit we have 24 choices.... and well I'm sure you are catching on by now...

Here is what the whole calculation looks like:

10(26)(25)(24)(23)(22) = 78,936,000

Step-by-step explanation:

Answer:

The answer should be the one with roses

Step-by-step explanation:

Step-by-step explanation:

1.Given .

2.Being vertically opposite angle.

3.Because sum of all interior angle of a triangle is always 180°.

4.From the statement of 3 number.

5.Because angle 4 = angle 3 and angle 6= angle 1 .

6.(suppose ,< is angle sign) solving this equation,

m<1 + m<2+ m<3 = m<3 + m<5 + m<1

The quadrilateral that meets the requirements of the definition of a parallelogram is the diagram in (Option C).

A parallelogram is a quadrilateral who has at least two sides that are equidistant from each other. Parallel lines are recognized in two dimensional shapes as lines with two marks each on them.

Hence, The quadrilateral that meets the requirements of the definition of a parallelogram is the diagram in Option C.

Learn more about parallelograms at;
https://brainly.com/question/11991651
#SPJ1

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

\(PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}\)

\(128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}\)

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

\(PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}\)

PV = $121718.2714

C) In order to estimate how many payments of $1400  it will take to pay off the loan, we have:

\(121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}\)

\(121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}\)

\(\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}\)

\(0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}\)

\(0.60859 = (0.006458)^{nt}\)

\(nt = \dfrac{0.60859}{0.006458}\)

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88  - 177795.38

The amount of interest saved = $153920.5

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

Learn more about volume at:
#SPJ1

Answer:

C; 6 cubic ft.

Step-by-step explanation:

theres 6 cubes and each are 1 feet 2^ so therefore 6 times 1 = 6 ft. 2^

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.

Here,

According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:

Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports

Total students who participate in sports = 6 + 3

Total students who participate in sports = 9

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

For more questions on angle.

https://brainly.com/question/31615777

#SPJ8

Answer:

The slope is 6/9.

Step-by-step explanation:

The equation used to calculate the slope from two points is:

(y2 - y1) ÷ (x2 - x1) =

It doesn't matter which x or y you choose to be first since you'll get the same answer. (For me, it's easier to go with the bigger number as the second x & y, so that's what I did.)

(-1 - -7) ÷ (4 - -5) = 6/9

Answer:

i would help you but i do not know it

Step-by-step explanation:

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

For more such questions die,click on

https://brainly.com/question/31368101

#SPJ8

Step-by-step explanation:

0.09w + 1.8 = 0

0.09w = 0 - 1.8

0.09w = - 1.8

0.09w ÷ 0.09 = - 1.8/ 0.09

w = - 20

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = \(4 \times Side\)

We are given that A garden is in the shape of a square with a perimeter of  56 feet.

So,\(4 \times side = 56\)

Side =\(\frac{56}{4}=14 feet\)

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = \(4 \times side = 4 \times 18 = 72 feet\)

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet =\(56 \times 1.21=67.76\)

Cost of fencing 72 feet = \(72 \times 1.21=87.12\)

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

The relationship between the distance that birds fly in relation to the time they do so, is positive.

There are about 3 outliers but for the most part, the relationship is positive.

The graph which shows the distance that birds fly in relation to the time they do, shows that there is a positive relationship because as the time increases, the distance that the birds have flown also increases.

There are some outliers such as the bird that flew 1 mile in 7 hours but in general, as the time increases, the distance increases as well. There are two clusters of distance as well.

Find out more on relationship at https://brainly.com/question/1599922

#SPJ1

Answer:

3/4

Step-by-step explanation:

Step 1:

1/2 ÷ 2/3

Step 2:

1/2 × 3/2

Answer:

3/4

Hope This Helps :)

The answer is 1/3.

A fraction is a number which represents the part of a whole or collection of objects. It is in the from of \(\frac{a}{b}\) where a represents the numerator part and the b represents the denominator parts.

1/2 divided by 2/3

To divide two fraction, we have to write reciprocal of the divisor fraction,

⇒\(\frac{1}{2}*\frac{2}{3}\) = \(\frac{1}{3}\)

Hence, the answer is 1/3.

Learn more about fraction here:

https://brainly.com/question/8482939.

#SPJ1

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Put this together using the conditions given: 319.14 / (1- 19%)

Determine the total or difference: 319.14 / 0.81

Diminish the fraction: 394

Response: 394

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

To know more about percentage visit:

https://brainly.com/question/28269290

#SPJ1

Answer:

7+x

Step-by-step explanation:

X will be the unknown

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

The requried volume of the pedestal is 135 cubic inches.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of a triangular prism is given by the formula V =base x h, where the base is the area of the base and h is the height of the prism.

In this case, the area of the base is given as 9 in², and the height of the prism is given as 15 inches.

Therefore, the volume of the pedestal is:

V = base x h

V = 9 in² x 15 inches

V = 135 cubic inches

So the volume of the pedestal is 135 cubic inches.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ1

Step-by-step explanation:

To find the value of x for which f(x) = g(x), we can equate the two functions:

f(x) = g(x)

x^2 - 1 = 3x

Bringing all the terms to one side, we get:

x^2 - 3x - 1 = 0

Using the quadratic formula, we can solve for x:

x = [ -(-3) ± sqrt((-3)^2 - 4(1)(-1))] / 2(1)

Simplifying the expression:

x = [3 ± sqrt(13)] / 2

Therefore, the values of x for which f(x) = g(x) are (3 + sqrt(13))/2 and (3 - sqrt(13))/2.

Answer:

Step-by-step explanation:

What we know:

m = 4, b = -5

y = mx + b where m is the gradient/slope and b is the y-intercept

Substitute m and b values:

y = 4x + -5 which is the same as y = 4x - 5

Substitute all x values to find y coordinate:

When x = -7, y = (4 x -7) - 5 = -33

When x = -6, y = (4 x -6) - 5 = -29

When x = -5, y = …

Continue for all x values