adam and betty purchased a printer together for $258. If adam paid $18 less than twice betty, how much money did Adam pay for the printer?

Answer:

3/8

Step-by-step explanation:

convert 1/4 to 2/8 and then subtract and that would equal the distance. distance of 3/8 hope this helps

The distance in units between 5/8 and 1/4 on a number line is 3/8.

Here,

We have to find,

The distance in units between 5/8 and 1/4 on a number line.

What is Number line?

Number line is a line in which all types off numbers are show like the negative number the positive numbers and fraction.

Now,

Distance between the 5/8 and 1/4 is find as,

\(\frac{5}{8} - \frac{1}{4} = \frac{5}{8} - \frac{2}{8} = \frac{3}{8}\)

Hence, The distance in units between 5/8 and 1/4 on a number line is 3/8.

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Answer:

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Which is the graph of the given function?

Here we have the exponential decay:

f(x) = 100*(0.7)^x

So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).

Now, if we evaluate in x = 0 we get:

f(0) =  100*(0.7)^0 = 100

Then it goes through the point (0, 100).

If we evaluate in x = 2, we get:

f(2) = 100*(0.7)^2 = 49

Then it also goes through the point (2, 49).

With all that in mind, the correct option is:

"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."

The to find the volume of the parallelepiped is V = |A · B × C| where A, B, and C are vectors representing three adjacent sides of the parallelepiped and | | denotes the magnitude of the cross product of two vectors.

The cross product of two vectors is a vector that is perpendicular to both the vectors, and its magnitude is equal to the product of the magnitudes of the two vectors multiplied by the sine of the angle between the two vectors he three adjacent sides of the parallelepiped can be represented by the vectors v1, v2, and v3, and these vectors can be found by subtracting the coordinates of the vertices

:v1 = (-2, 5, -8) - (-2, -2, -5)

= (0, 7, -3)v2 = (-2, -8, -7) - (-2, -2, -5)

= (0, -6, -2)v3 = (-7, -9, -1) - (-2, -2, -5)

= (-5, -7, 4)

Using the formula V = |A · B × C|, we can find the volume of the parallelepiped as follows:

V = |v1 · (v2 × v3)|

where v2 × v3 is the cross product of vectors v2 and v3, and v1 · (v2 × v3) is the dot product of vector v1 and the cross product v2 × v3.Using the determinant formula for the cross-product, we can find that:

v2 × v3

= (-6)(4)i + (-2)(5)j + (-6)(-7)k

= -48i - 10j + 42k

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Answer:

hello

Step-by-step explanation:

adjacent angles are equal to 180 degrees,

\((2x + 9) + (5x + 3) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{168}{8} \\ x = 21 \\ \\ \)

but, for some reason, does not match the answers…

Can the answers be wrong?

or I miscalculated…

i hope it helps have a nice day

Answer:

24

Step-by-step explanation:

(2x + 9 )+ (5x + 3) = 180

x = 24

(I just guessed and checked. It was multiple choice so why not?)

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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Answer:

4th option

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 4x² - 5x + 8 +2x² + x - 2 ← collect like terms

= 6x² - 4x + 6

Answer:

455

Step-by-step explanation:

260/4=65

65*7=455

so your answer is 455

I am happy to help :)

Answer:

Step-by-step explanation:

Cubic centimeters is multiplying by another dimension which means volume. Squared centimeters means area.

Answer:

Step-by-step explanation:

A woman is 5 times as old as her daughter. Two years ago the sum of the squares of their age was 1114. Then the present age of daughter is 7 and the mother's age is 35 respectively.

If x is the age of the girl, then the mother's age is 5x. Two years ago, the girl was x - 2 years old, and the mother was 5x - 2 years old. We know the total of their squares two years ago was 1114, so we can write:

(x - 2)² + (5x - 2)² = 1114 -------(1)

Expanding the squares, we get:

x² - 4x + 4 + 25x² - 20x + 4 = 1114

26x² - 24x - 1106 = 0 ----------(2)

Dividing the equation by 2, which will lead to simplifying the equation as:

13x² - 12x - 553 = 0 ----------(3)

Using the quadratic formula

x = - b ± √(b² -4ac)/ 2a

Using this formula, the value of x can be found. For that we substitute the values of b = -12 , a  = 13 & c = -553.

x = -(-12) ± √(-12² - 4*13*-553)/2*13

x = 12 ± √(144)- 28756)/26

After solving the equation we will get x = 7 & x = -6.07

We can disregard the negative solution because we are searching for the age of the daughter. As a result, the girl is about 7 years old, and the mother is about 5 times her age, or about 35 years old. To ensure that our answer is accurate, we can check that the sum of their ages two years ago is indeed 1114:

5² + 33² = 1114

Therefore, we can confirm that the daughter's present age is 7 and age of mother is 35.

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Answer:

The number of rare coins a coin collector owns is considered discrete data.

Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

Answer:

The \(y\)-intercept is \(\boxed{3}\)

Step-by-step explanation:

The \(y\)-intercept of line is just the point where the \(y\)-axis and the line. From the given line, we can see that the \(y\)-axis and the line that models the temperature on a certain winter day since sunrise \((0,3)\). Also, the question just asked us for the \(y\)-coordinate of the \(y\)-intercept so \(3\)

Answer:
A part to part ratio is the porportion if the diff parts in relation to each other

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

g

Answer:

66

Step-by-step explanation:

let, the missing angle be x.

x= 66°{being the corresponding angle}

: the value of missing angle is 66°

The most appropriate measure of center is the mean which describes the average weight of oranges.

For the given data:

5,6,7,7,8,8,10,11,11,14,16,19,20,21

The most appropriate measure of center from the data given is the mean. The mean value gives the average weight of the oranges in the scenario given above.

The mean can be calculated thus :

(Sum of weight / Number of values)

Mean = (163 / 14)

Mean = 11.64

Hence, the most appropriate measure of center is the mean and it describes the average weight of oranges.

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Answer:

  x = 70°

  y = 35°

Step-by-step explanation:

Given one angle of a triangle is 75° and the other two are 'x' and 'y', you want to find the possible values of 'x' and 'y' when x = 2y.

The angle sum theorem and the given relation give rise to two equations:

  75 +x +y = 180

  x = 2y

Using the second equation to substitute for x in the first equation, we have ...

  75 +(2y) +y = 180

  3y = 105 . . . . . . . . . subtract 75 and simplify

  y = 105/3 = 35

  x = 2y = 2(35) = 70

The measures of angles x and y are 70° and 35°, respectively.

The degree measure of angle A is 90 degrees if the measure of angle A is three times as big as the measure of angle C and the measure of angle B is 30 degrees bigger than the measure of angle C.

Let x be the measure of angle C in degrees.

According to the problem statement, angle A is three times as big as angle C, measuring 3x degrees.

Angle B is 30 degrees bigger than angle C, so its measure is x + 30 degrees.

The sum of the measures of the angles in a triangle is always 180 degrees so that we can write:

A + B + C = 180

Substituting the expressions we found for the angles in terms of x, we get:

3x + (x + 30) + x = 180

Simplifying and solving for x, we get:

5x + 30 = 180

5x = 150

x = 30

Therefore, angle C has a measure of 30 degrees, angle B has an estimate of 30 + 30 = 60 degrees, and angle A has a measure of 3(30) = 90 degrees.

So the degree measure of angle A is 90 degrees.

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For the given geometric sequence we have:

a) R = 3/4

b) 243/256

c) Aₙ = 3*(3/4)⁽ⁿ⁻¹⁾

The common reason is given by the quotient between two consecutive terms, so using the first two, we will get:

R = (9/4)/3

R = 3/4

That is the common reason.

b) To find the fifth therm, we need to take the fourth one and multiply it by the common reason, so we will get:

81/64*(3/4) = 243/256

c) The n-th term of the sequence is the first term of the sequence multiplied by the common reason (n - 1) times, it gives:

Aₙ = 3*(3/4)⁽ⁿ⁻¹⁾

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Answer:

Let the breadth is x, then the length is 3x.

The area is:

The breadth is decreased by 2 m:

The length is increased by 4m:

The area is now:

The breadth was 4 m and the length  12 m

We can plot the vector r(t) and the vector N(T) at the given value of t = T.

To find the principal unit normal for the vector-valued function r(t) = sin(t)i + tcos(t)j + tk, we need to compute the derivative of r(t) with respect to t and then normalize it to obtain a unit vector.

First, let's find the derivative of r(t):

r'(t) = cos(t)i + (cos(t) - tsin(t))j + k

Next, we'll normalize the vector r'(t) to obtain the unit vector:

||r'(t)|| = sqrt((cos(t))^2 + (cos(t) - tsin(t))^2 + 1^2)

Now, we can find the principal unit normal vector by dividing r'(t) by its magnitude:

N(t) = r'(t) / ||r'(t)||

Let's evaluate the principal unit normal at t = T:

N(T) = (cos(T)i + (cos(T) - Tsin(T))j + k) / ||r'(T)||

To sketch the situation, we can plot the vector r(t) and the vector N(T) at the given value of t = T.

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The normal density curve is symmetric about its mean, with the highest point at the "mean."

The normal density curve is a continuous probability distribution that is widely used in statistics.

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Answer:

Step-by-step explanation:

Based on the given conditions, formulate: 24 times 5 dived ( 5 + 3 )

Calculate the product or quotient: {120}{5 + 3}

Calculate the sum or difference: 120}{8}

Cross out the common factor:15

get the result:15

Answer: 15

Answer:

1). 3a^4c^3 or D

2). -1/25 or C

3). -z/y^7 or D

4). 3 or A

5). -4^-4 or A

Step-by-step explanation:

I took the quick check already so enjoy your 100% :)

Answer:

false

Step-by-step explanation:

0.909 is less than not greater than

Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

Therefore, the given expression can be written as a single logarithm log (y^3/s^8). The expression can be written as a single logarithm: log (y^3/s^8).

Given log s + 3 log y - 8 log s. We can write this expression as a single logarithm using the following properties of logarithms: logarithmic addition, logarithmic subtraction, logarithmic multiplication, logarithmic division.

log s + 3 log y - 8 log s= log s - 8 log s + 3 log y= log s/s^8 + log y^3= log (y^3/s^8) .

Therefore, the given expression can be written as a single logarithm log (y^3/s^8). The expression can be written as a single logarithm: log (y^3/s^8).

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Answer: m=130h

Step-by-step explanation:

130 miles per hour.

number of miles (m) the train will travel in (h) hours.

m=130h

Answer:

772.17

Step-by-step explanation:

Given,

Interest (I) = 370

Principal (P) = 4600

Rate (R) = ? , Time (T) = ?

We know,

I = PTR/100

or, 370 = 4600TR/100

or, 370 = 46TR

∴ TR = 370/46 = 185/23.................(1)

Now,

On Principal (P) = 9600

Interest (I) = PTR/100

or, I = 9600TR/100

or, I = 96 * 185/23 (∵From 1)

∴ I = 772.179