recently, alicia went on a trip. on the first part of the trip, she drove 260 miles to visit her grandparents. this distance is 4/5 of the total she traveled. what equation can you use to find d, the total length of her trip in miles

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

Work Shown:

x = total length

12.5% of x = 0.125x = 25 cm

0.125x = 25

x = 25/(0.125)

x = 200 cm

This is equivalent to 2 meters. I'll keep the final answer in cm to keep the units consistent.

Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

Answer:

Step-by-step explanation:

hola como estas

Answer:five million six hundred seventy-three thousand one hundred fifty-four. 5,000,000 + 600,000 + 70,000 + 3,000 + 100 + 50 + 4. I'm pretty sure that's right

Step-by-step explanation:

Answer:

5,673,154

Expanded Form - 5,000,000 + 600,000 + 70,000 + 3,000 + 100 + 50 + 4

Word Form - five million, six hundred seventy-three thousand, one hundred fifty-four.

Hope it helped!

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

A=60

Step-by-step explanation:

Complementary means it's 90 degrees

60 and 30 have a 30 degree difference.

The measure of angle a is 60°

What are Complementary Angles?

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given data ,

The two angles are a and b

a and b are complementary

So , a + b = 90°

The difference of angle a and b is 30°

The greater angle is a and smaller angle is b

So , a - b = 30°

Now , we have two equations

a + b = 90°

a - b = 30°

Adding both equations , we get

2a = 120°

Divide by 2 on both sides , we get

a = 60°

Hence , the measure of angle a is 60°

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If we need to find three consecutive integers, we have that they can be written as follows:

Since the sum of all of them is equal to 276, we can write the following equation:

Now, adding like terms, we have:

Now, we can subtract 3 from both sides of the equation, and then divide by 3 as follows:

Then, we have that:

If we add these three consecutive integers, we will have:

In summary, the three consecutive integers whose sum is 276 are 91, 92, and 93.

(a)  The corresponding angles are congruent.

So, m ∠ TLC = 66°

(b)  m ∠KGX = m ∠DNK = 120°

"Information available from the question"

In the question:

A graphic artist created a design for a flower using four congruent hexagons as shown:

B P⊥M K, m ∠ M Y F=m ∠ F H B, m° W M C=m ∠ W P T, m ∠G X R=66°, m ∠ D N K=(3 x+18)°, and m ∠ W B R=(5 x-8)°.

The sum of the angles in WKNDSP is 720°.

Now, According to the question:

Part(a) Since the four hexagons are congruent

So, the corresponding angles are congruent.

Thus, m ∠ T L C=  m ∠ 6 x R

Since, m ∠ 6 x R = 66°

So, m ∠ TLC = 66°

Part(b) In WKNDSP

m  ∠KWP + m ∠ WPS + m ∠ PSD + m ∠ SDN + m ∠ DNK + m ∠ NKW = 720°

Since, 1)  B P⊥M K => m ∠KWP = 90°

2) m ∠WPS =m ∠NKW =m ∠WBR = (5x - 8)°

3) m ∠PSD = m ∠DNK = (3x + 18)°

4) m ∠SDN = m ∠GXR = 66°

So, 90 + (5x + 8) + (3x + 18) + 66 + (3x + 18) + (5x - 8) = 720°

90 + 5x + 8 + 3x + 18 + 66 + 3x + 18 + 5x - 8 = 720

176 + 16x = 720

16x = 720 - 176

16x = 544

x = 34

=> m ∠DNK = (3x + 18)° = (3 × 34 + 18)° = 120°

So, m ∠KGX = m ∠DNK = 120°

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1 + 7 - 6 + 99 = 101

Step-by-step explanation:

7 + 1 = 8

8 - 6 = 2

99 + 2 = 101

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Answer:

101

that was easy:D

mark me as brainliest plz

Answer: 6 ≤ x ≤ 11

Step-by-step explanation:

Let x be the number of additional outfits that can be packed in the suitcase.

The suitcase will fit at most 11 outfits, which means that x cannot be greater than 11 outfits.

On the other hand, 5 outfits have already been packed, so the number of additional outfits that can be packed is at least 6.

Therefore, the inequality that represents this situation is 6 ≤ x ≤ 11.

We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

standard form of sine function:

y = a sin (bx+c) + d

Where:

lal = amplitude

For:

y= -3/4 sin θ

a =l -3/4 l (obsolute value )

a= 3/4

Answer: A (3/4)

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

a) The expected May rainfall is 5.0 inches.

b) The probability of May rainfall falling within one standard deviation of the mean is 0.6827, and within two standard deviations is 0.9545.

(a) To calculate the expected May rainfall, we need to find the mean (μx) of the uniform distribution. The mean of a uniform distribution can be found using the formula:

μx = (a + b) / 2

where a and b are the lower and upper limits of the distribution, respectively. In this case, a = 2 and b = 8. So,
μx = (2 + 8) / 2
μx = 10 / 2
μx = 5

(b) To find the probability that the observed May rainfall will fall within one and two standard deviations of the mean, we first need to calculate the standard deviation (σx) of the uniform distribution. The formula for the standard deviation of a uniform distribution is:

\(σx = √((b - a)^2 / 12)\)

Using the values of a and b from before, we have:

\(σx = √((8 - 2)^2 / 12)\)
σx = √(36 / 12)
σx = √3

For a uniform distribution, the probabilities of falling within one and two standard deviations of the mean are as follows:

- Within one standard deviation (±1σx): 68.27% or 0.6827
- Within two standard deviations (±2σx): 95.45% or 0.9545

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Answer:

Anna

Step-by-step explanation:

she was the fastest

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer:

No Side Is Being Favored Since The Die Is A Fair Six-Sided Die.

So Each Number Has The Same Chance Of Being Rolled.

Answer:

No the awnser is no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

There are limits on what the lengths can be. ... The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third.

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

It has no solution. There's the graph just in case

Answer:

No solution.

Step-by-step explanation:

First, we must convert the first equation (-6x+3y = 12) into y=mx+b form so we can graph it.

There are two ways to convert the first equation to y=mx +b. By substitution or by elimination. For this, I will do substitution.

Solving by substitution means you replace one of the variables so all the terms are equal and can be solved.

Thankfully, we know that y is equal to 2x +1, so in place of y, we can replace it with 2x + 1.

\(-6x+3(2x+1)=12\)

Now, lets merge and solve for X!

\(-6x+3(2x+1)=12\\-6x+6x+3=12\\3=12\\\)

Hmm...that alone means that there actually isn't a solution since 3 and 12 does not equal each other.

There is no solution to this system of linear equations.

The inequality in interval notation is  [ -1, ∞ ) from the given equation x ≥ - 3

Given data :

x ≥ - 3

x is greater than or equal to - 3, so - 3 is our smallest value of the interval so it goes on the left. Since there is no upper endpoint (it is ALL values greater than or equal to 3),

we put the infinity symbol on the right side. The boxed end on 3 indicates a closed interval.

In interval notation it is [ -1, ∞ )

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The function that models the relationship between the number of students enrolled, f(x) and the number of years after 2015, x,  is D. f(x) = 3000(0.98)*.

Mathematically, a function defines a mathematical relationship or an algebraic expression involving one variable (the independent variable) and another variable (the dependent variable).

There are four main types of mathematical functions, including:

The number of students enrolled in 2015 = 3,000

The annual decrease in students enrollment = 2%

Let f(x) the model modeling the relationship between the number of students enrolled and the number of years after 2015.

Let the number of years after 2015 = x.

Thus, the correction function is D. f(x) = 3000(0.98)*.

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Step-by-step explanation:

x=9

therefore,

each sides length is 9

5x-7=3x+11

=5x-3x=7+11

=2x=18

=x=9

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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When prime number 7 is divided by linear equation x+y result is 7/(x+y).

Prime numbers are those that have just two elements, namely 1 and the number itself. In other words, only 1 and the number itself can divide a prime number. They cannot be divided by any other number, according to this. 7, 11, 13, 17, and other prime numbers are some examples.

Try dividing a number by the prime numbers 2, 3, 5, 7 and 11 to see if it is a prime. A number is not a prime number if it can be divided exactly by one of these figures; otherwise, it is a prime. As an alternative, since a prime number only has two factors—1 and the number itself—we can determine the prime numbers by writing down their factors.

Now,

Given number = 7

given linear  equation= x+y

So when we divide =7/(x+y)

the result will be 7/(x+y)

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