Miguel and Kat are reading the same book. Miguel reads 5 times as many
pages of the book as Kat. Together they read 54 pages. Write an equation
that can be used to find how many pages Kat read.

Answer:

There is an infinite number of possibilities because you gave us no answer choices. Here are some of them:

2/128

4/256

6/384

8/512

And we could go on and on with this.

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

Answer:  It was the crossroads for four major railroads. President Abraham Lincoln knew that if his army could capture Chattanooga, vital Confederate supply lines would be severed, and the war would be closer to an end.

Step-by-step explanation:

Answer:

? where are the questions i will edit when answer arrive.

Step-by-step explanation:

Step-by-step explanation:

Log(x²+8)=log 10+ log x

Log(x²+8)=log(10×x)

x²+8=10x

x² - 10x + 8=0

x is approximately to - 1 and - 8✅

The solutions to the given equation are x = -1 and x = 8.

Option A is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

Using logarithmic properties, we can simplify the given equation:

logs(x² + 8) = 1 + log g(x)

logs(x² + 8) - log g(x) = 1

log[(x² + 8)/g(x)] = 1

(x² + 8)/g(x) = 10

x² + 8 = 10g(x)

Now we can solve for x by substituting the given answer options and solving for g(x):

For x = -2 and x = -4:

x = -2:

(-2)² + 8 = 12, which is not equal to 10 g(x) for any value of g(x).

So x = -2 is not a solution.

x = -4:

(-4)² + 8 = 24, which is also not equal to 10g(x) for any value of g(x).

So x = -4 is not a solution.

For x = -1 and x = 8:

x = -1:

(-1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = -1 is a solution.

x = 8:

(8)² + 8 = 72, which is equal to 10g(x) when g(x) = 7.2.

So x = 8 is a solution.

For x = 1 and x = -8:

x = 1:

(1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = 1 is a solution.

x = -8:

(-8)² + 8 = 56, which is not equal to 10g(x) for any value of g(x).

So x = -8 is not a solution.

Therefore,

The solutions to the given equation are x = -1 and x = 8.

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Answer:

Step-by-step explanation:

The angles marked x in each of the polygons are 128° and 82° respectively.

Concave polygons are closed two dimensional figures whose at least one of the interior angle is more than 180 degrees.

The given polygons are named as ABCDEFGH and PQRSTU as shown below.

1) An interior angle and a corresponding exterior angles are supplementary.

Interior angle ∠B = 180° - 42° = 138°

Similarly,

Interior angle, ∠E = 180° - 34° = 146°

Also, angle around a point = 360°

Interior angle at G = 360° - 141° = 219°

Sum of the angles of a polygon = (n - 2) 180°, where n is the number of sides.

Here, number of sides, n = 8

x + 138° + 107° + 145° + 146° + 126° + 219° + 71° = (8 - 2) 180°

x + 952° = 1080

x = 1080 - 952

x = 128°

2) The dotted line implies that the shape is symmetrical.

∠Q = ∠U and ∠R = ∠T

∠Q = ∠U = 34°

Exterior angle at T = 87°

Interior angle at T = 360° - 87° = 273°

So ∠R = ∠T = 273°

Again number of sides, n = 6

x + 34 + 273 + 24 + 273 + 34 = (6 - 2) 180

x + 638 = 720

x = 720 - 638 = 82°

Hence the angle are 128° and 82°.

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Answer:

x is -1/b yw

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total Installment Price:

The total installment price is the sum of all monthly payments made over the duration of the loan.

Total Installment Price = Monthly Payment * Number of Months

Total Installment Price = $558.16 * 48

Total Installment Price = $26,766.88

Finance Charge:

The finance charge is the total amount paid for borrowing the money, excluding the principal amount.

Finance Charge = Total Installment Price - Loan Amount

Finance Charge = $26,766.88 - $24,000

Finance Charge = $2,766.88

Finance Charge per $100 financed:

To calculate the finance charge per $100 financed, we divide the finance charge by the loan amount and then multiply it by 100.

Finance Charge per $100 financed = (Finance Charge / Loan Amount) * 100

Finance Charge per $100 financed = ($2,766.88 / $24,000) * 100

Finance Charge per $100 financed = 11.53

APR (Annual Percentage Rate):

The APR represents the annualized cost of borrowing, including both the interest rate and any other fees or charges.

To calculate the APR, we need to use the formula for APR and solve for the interest rate (r).

APR = (2 * (r/12) * (Total Installment Price - Loan Amount)) / (Loan Amount + Total Installment Price)

Let's solve for r:

APR = (2 * (r/12) * ($26,766.88 - $24,000)) / ($24,000 + $26,766.88)

APR = (2 * (r/12) * $2,766.88) / $50,766.88

Simplifying the equation further:

APR = (r * $2,766.88) / $50,766.88

We can solve for r by multiplying both sides by ($50,766.88 / $2,766.88):

APR * ($50,766.88 / $2,766.88) = r

APR * 18.36 = r

Hence, the APR is equal to the interest rate (r) multiplied by 18.36.

Please provide the APR rate to calculate the value of r.

Answer:

-4

Step-by-step explanation:

So we have the function:

\(h(x)=-3x-4\)

To find h(0), substitute 0 for x. Thus:

\(h(0)=-3(0)-4\)

Multiply:

\(h(0)=0-4\)

Subtract:

\(h(0)=-4\)

And we're done!

To determine that the functions f(x) and g(x) are inverses of each other, we would have to determine the compositions f(g(x)) and g(f(x)), and both of these compositions should be equal for the above-said statement to become true.

for example, let us assume that

f(x) =  2/(x-5)

g(x) = (2/x) +5

So,

f(g(x)) = 2/(((2/x) +5)-5)

=2/(2/x)

=x

and

g(f(x)) = (2/(2/(x-5))) +5

= (x-5)+5

= x

Since, both the compositions f(g(x)) and g(f(x)) are equal, we can conclude that f(x) and g(x) are inverses of each other

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Step-by-step explanation:

first, remember Pythagoras :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle).

a and b are the legs.

so, in our case

c² = 4² + 6² = 16 + 36 = 52

c = sqrt(52) = 7.211102551... ≈ 7.21

and then remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides, A, B, C are the corresponding opposite angles (here also called alpha, beta. gamma would be the 90° angle).

so,

4/sin(alpha) = c/sin(90) = c

4 = c×sin(alpha)

sin(alpha) = 4/c = 4/7.211102551... = 0.554700196...

alpha = 33.69006753...° ≈ 33.69°

we don't need to do that much calculation for the third angle beta, as we know the sum of all angles in a triangle is always 180°.

so,

180 = alpha + beta + 90 = 33.69 + beta + 90

90 = 33.69 + beta

56.30993247... = beta ≈ 56.31°

Answer:

There is no solution

Step-by-step explanation:

Answer:

The answer is 19/2.

Step-by-step explanation:

Alternatives are 9 1/2 and 9.5.

Brainliest? Thanks!

Answer:

3 and 2/5

Step-by-step explanation:

because when it says divide it means take away and the denominator is the same so it stays the same

Answer:

68 and 40

Step-by-step explanation:

x - y = 28

x * y = 2720

x = 28 + y

(28+y)y = 2720

28y+y^2 = 2720

y^2 + 28y - 2720 = 0

discriminant = 28^2 - 4(-2720) = 784 + 10 880 = 11 644

we are searching only the positive value

y = (-28 + 108)/2 = 80/2 = 40

x = 28 + 40 = 68

Answer:

Correct option is C)

⇒  The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒  The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒  The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒  To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒  So from the given options 6cm is less than

11cm and greater than 3cm

∴  The length of the third side of triangle is 6cm

Step-by-step explanation:

Answer:

The zero 1 has a multiplicity of 1.

The zero -2 has a multiplicity of 2.

Hope this clears up any confusion :)

Step-by-step explanation:

Answer:

The zero  1  has a multiplicity of 1.

The zero −2 has a multiplicity of  2 .

Step-by-step explanation:

The LCL and UCL (lower and upper confidence limits) are 82.53 and 85.47, respectively. This means that we are 96% certain that the population mean number of cars sold by used car salespeople each year is between 82.53 and 85.47.

We can use the formula for a normal population mean confidence interval to calculate the 96% confidence interval estimate of the population mean:

μ ± (z * (σ/√n))

where is the population mean

z is the z-score for a 96% confidence level (z = 2.33).

is the population standard deviation (15)

n denotes the sample size (450)

When we enter the values, we get:

84 ± (2.33 * (15/√450))

We calculate the 96% confidence interval estimate of the population mean to be:

(82.53, 85.47)

As a result, the lower and upper confidence limits (LCL and UCL) are 82.53 and 85.47, respectively. This means that we are 96% confident that the population mean number of cars sold annually by used car salespeople is between 82.53 and 85.47.

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Answer:

They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.

Answer:

Step-by-step explanation:

11

While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Answer: A linear function is one whose graph is a straight line. Given the linear function B(t) = 45422 + 34.26t, its inverse function can be found by switching the places of x and y and then solving for y.

The inverse function, written in function notation, can be represented as:

B^(-1)(t) = (1/34.26)(t - 45422)

So the inverse of the linear model B(t) = 45422 + 34.26t can be written as B^(-1)(t) = (1/34.26)(t - 45422) in function notation.

Step-by-step explanation:

A. 250 red, 250 blue, 250 green, 125 yellοw, and 125 οrange is the mοst likely distributiοn οf the cοlοrs οf candies in the bag befοre it was οpened

A mathematical equatiοn links twο statements and utilises the equals sign (=) tο indicate equality. In algebra, an equatiοn is a mathematical assertiοn that prοves the equality οf twο mathematical expressiοns. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical fοrmula may be used tο determine hοw the twο sentences οn either side οf a letter relate tο οne anοther. The lοgο and the particular piece οf sοftware are usually identical. like, fοr instance, 2x - 4 = 2.  

We must make use οf the data the students cοllected in οrder tο calculate the mοst likely distributiοn οf the candy cοlοurs in the bag befοre it was οpened. Nοw, let's determine the tοtal amοunt οf sweets the pupils pulled οut:

40 sweets divided by 4 pupils is 80 candies.

We may assume that there were twice as many red candies in the bag befοre it was οpened if the kids tοοk οut 40 οf them:

4 x 250 = 1,000

By emplοying this technique, we may determine hοw many candies οf each hue were included in the bag priοr tο its οpening.

Thus,  A. 250 red, 250 blue, 250 green, 125 yellοw, and 125 οrange is the mοst likely distributiοn οf the cοlοrs οf candies in the bag befοre it was οpened

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Answer:25%

Step-by-step explanation:

You have a 25% (1 in 4) to pick 8

Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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Answer:

6.28375

Step-by-step explanation:

times the radius will fit = x

8 * x = 50.27

x= 50.27÷8

x=6.28375

hypothesis is a guess that you test run.

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Answer:

A

Step-by-step explanation:

As the number of rectangles increases, the area under the curve becomes more accurate as there are more rectangles to find the area of.

1) To solve this System of Solutions graphically, we'll need to plot those lines described by those respective equations.

2) Let's set two tables

y=-5x +4

x | y

1 -1 ( 1,-1)

2 -6 ( 2,-6)

3 -11

y=3x + 4​

x | y

1 | 7 ( 1,7)

2 |10 ( 2,10)

3 | 13

2.2 Let's plot those equations and interpret the results:

3) As these lines have point (0,4) as their common point. Therefore we can state that the solution for this consistent system is S=(0,4)