Ash and Bea are engravers. Ash charges a flat fee of $\$1.50$ for the first $21$ letters engraved, and $8$ cents per letter thereafter. Bea charges a flat fee of $\$1.60$ for the first $15$ letters engraved, and $7$ cents per letter thereafter. For what nonzero number of letters will Ash and Bea's engraving prices be the same?

Answer:

1. 30 − 6q

3. −7d − 14 OR -7d + -14

4. = −4x + 24y

5. a) −3b − 15           b)−12x + 24

6. For the first answer to this question: 3x + 3y OR 3x = t

For the second answer to this question: 3x = t and it costs 15 dollars in total with x = 5.

Answer:1881 6040mph 18x

Answer: nswer ; x , we can find ; y with the first equation :.

1 answer

·

We know that y=5x−7 so we are just going to replace the y in the other equation : −3x−

Step-by-step explanation:

Answer:

(a) and (c)

Step-by-step explanation:

if you use the pythagorean theorem, 'a' and 'c' work out

a) 3² + [tex]\sqrt{27}[/tex]² = 36   True

b) 8² + 15² ≠ 17²      False

c) 5² + 5² = 50       True

Answer: 27.5

Step-by-step explanation:

[tex](x-3)2 = 49\\x-3 = \frac{49}{2} \\x-3 = 24.5\\x = 24.5 + 3\\x = 27.5[/tex]

Answer:

- 5√2 / 2   ,   - √2

Step-by-step explanation:

√2 x² + 7x + 5√2 = 0

√2          5

1              √2

(√2 x + 5) (x + √2) = 0

√2 x + 5 =0            x = - 5/√2 = - 5√2 / 2

or x + √2 = 0          x = -√2

Answer:

f(-4) = 56

Step-by-step explanation:

f(x) = 3x² - 2x

To find f(-4), substitute -4 for all the values of x in f(x).

f(-4) = 3(-4)² - 2(-4)

Square -4.

f(-4) = 3(16) - 2(-4)

Multiply 3 and 16.

f(-4) = 48 - 2(-4)

Multiply -2 and -4.

48 + 8

Add.

56

You had the right idea! :)

Answer:

3

Step-by-step explanation:

C(n) = 5n, 0 ≤ n ≤ 10       You would use this equation for finding the cost of 10 shirts. Since 10 is equal to 10.

C(n) = 5n, 0 ≤ n ≤ 10 ← You can ignore the 0 ≤n ≤10 part.

C(10) = 5(10)                 Input the value 10 as x.

C(10) = 50                    Simplified

Next,

C(n) = 4n + 5, n > 10      You would use this equation for finding the cost of 12shirts. Since 12 is greater than 10.

C(n) = 4n + 5, n > 10  ←  You can ignore the n>10 part.

C(12) = 4(12) + 5, n > 10  Input the value of 12 as x.

C(12) = 48 + 5                 Simplify

C(12) = 53    

Finally,

The question is asking you to find the difference between the cost of 12 shirts and the cost of 10 shirts. So the formula would be C(12) - C(10).

C(12) - C(10)

(53) - (50)                       Input the values of C(12) and C(10).

= 3                                  Simplify.

The answer is 3.

Answer:

A

Step-by-step explanation:

The figure that illustrates a reflection in line k is figure A.

A perpendicular bisector is a reflecting line. The perpendicular bisector of all segments connecting the pre-image points to their matching image points forms the reflecting line while a figure is reflecting.

We have a figure.

We have to determine the correct option a reflection in line k.

So, the line k must lie in between the figure and gives the mirror image of each other.

Also, line should be at equal distance from both figure.

Thus, the figure that illustrates a reflection in line k is figure A.

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Answer:

4 pounds divided by 8 as a fraction

4/8 = 1/2

-TheUnknownScientist

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

so 4 divided by 8 can be represented in fraction for like this:

[tex]\frac{4}{8}[/tex] which can be simplified by multiplying the top and bottom by 4:

[tex]\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}[/tex] and that is the answer

Answer: The answer is 11 1/4

Step-by-step explanation:

A. The amplitude of the sinusoidal function 's' would increase.

B. The midline of the sinusoidal curve will upshift.

A function that repeats its values at regular intervals is said to be periodic. For instance, periodic functions include trigonometric functions, which repeat every 2 pi radian. In science, periodic functions are used to describe oscillations, waves, and other periodic events. Aperiodic refers to any nonperiodic function.

We know the moving mechanism of the pendulum can be graphed as a periodic function.

A. If the pendulum is pulled farther away from its resting point it will reach a greater height on both sides this would have an effect of an increase in the amplitude of the sinusoidal curve.

B. If the pendulum is pulled farther away from its resting point the midline of the sinusoidal curve would move up along the y direction as a result of an increase in magnitude.

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On solving the question resultant answer from the given data we have  algebraic  expression 5/48 could be  0.10

Algebraic expression can be defined as the combination of  constants , variables and operators. Algebraic expressions are the concept of expressing numbers using letters or alphabets without specifying their real values. The basics of algebra taught us a way to specific an unknown value the usage of letters which includes x, y, z, and many others. those letters are called here as variables. An algebraic expression may be a combination of each variables and constants. Any value this is positioned before and increased through a variable is a coefficient.

So, the given expression , 5/48

5/48 = 0.10

The resultant answer from the given expression 5/48 could be 0.10

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The correct question is -

Solve the equation.

p= −6p=48

Please help I suck at math

Answer:

j = 8.6 or 8.7

Step-by-step explanation:

tan (60) = j/5

*cross multiply*

j = 5 (tan(60))

j = 8.66

j = 8.7

Answer:

Option C

The length of RT is 14

Step-by-step explanation:

For a given Right Triangle

m∠R = 90°, RG = 17, TG = 22

Now, By Pythagoras Theorem

(RT)² + (RG)² = (TG)²

(RT)² = (TG)² - (RG)²

(RT)² = (22)² - (17)²

(RT)² = 484 - 289

(RT)² = 195

RT = √195

RT = √195 = 13.96 = 14

Thus, The length of RT is 14

-TheUnknownScientist

Answer:  $5.22  (in the year 2021)

========================================================

Explanation:

The year 2021 is 22 years after 1999 since

2021 - 1999 = 22

That means we'll plug x = 22 into the equation given to us

P = 144*(0.86)^x

P = 144*(0.86)^22

P = 5.21588994768589 which is approximate

P = 5.22 rounding to the nearest cent

The share price is about $5.22 in the year 2021.

This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.

Answer: 54

Step-by-step explanation: 30, percentage increased by 80% (percent) of its value = 54

Answer:

30 × 80 % = 24

30 + 24

= 54

........

The midpoint of the x-intercepts of f(x) = (x - 4)(x + 4) is (0, 0).

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

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Answer:

14

Step-by-step explanation:

In order to maintain soil fertility and productivity, soil must be protected from erosion and other forms of deterioration. Water use and watershed management are typically included.

Eliminating the existing vegetation is the first step in making a garden bed. Weeds can be manually pulled. Just be certain to remove the roots to prevent regrowth. You might want to rent a gas-powered sod cutter to get rid of the grass if you're starting with a lawn.

Better soil conservation techniques that affect both erosion and fertility include crop rotation, cover crops, conservation tillage, and installed windbreaks.

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The complement of the event: "drawing a red card" is the last option:

"Selecting a black card"

The complement of an event is the set of all the outcomes such that the original event is false.

For example, the complement of drawing a red card, would be "not drawing a red card"

We know that there are two types of coloes, black and red.

Then "drawing a black card" is equivalent to "not drawing a red card"

Thus, the complement is the last option:

"Selecting a black card"

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The Normal probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05. In this Question The normal probability distribution and the central limit theorem were used.

The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. The area under the normal curve is always one.

Central limit theorem

The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.

Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.

Mean standard deviation , the z-score of a measure X is given by:

Z = x-μ/σ

Given ,

The distribution of backpack with mean deviation = 19.7 pounds

And the standard deviation = 3.1 pounds

The number of standard deviations is measured by the Z-score. The average is used as the measure.

We glance at the z-score table after determining the Z-score to determine the p-value connected to it.

The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.

1 is subtracted from the p value.

We calculate the likelihood that the measure exceeds X.

P(ä > 22) is the probability of the sample means being above 22.

For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

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The real world situation that can be modelled with the given  expression can be modelled as shown below.

Given is the expression as -

D/3

A real world situation that can be modelled with this expression can be written as follows -

Amanda has a total of {D} bananas. She divides the bananas into 3 of her childrens equally. Write an expression that would represent the amount of bananas recieved by each of her child.

Therefore, the real world situation that can be modelled with the given  expression can be modelled as shown above.

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Answer:

27

180 - 63 - 90  = 27

Answer h:

Step-by-step explanation:

Answer:

b. Independent; the first marble selection will not affect the second marble selection.

Step-by-step explanation:

We have both independent and dependent occurrences when calculating the probability of events in mathematics.

Independent events occur when the results of the first event's selection have no bearing on the results or outcomes of the second event.

The opposite of independent occurrences are dependent events. They are occurrences in which the results or outcomes of the second events are influenced by the results or outcomes of the first events' selection.

The first incident, according to the question, was when she chose one marble from the bag. The second occurrence is that she replaced the pebble before selecting another. By doing so, the total number of alternative outcomes for both occurrences' probability remains the same.

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Answer: 215

Step-by-step explanation:

The value of x in the give trigonometrical question is 10.6 when hypotenuse is 13 in the right angled triangle.

Trigonometry is the branch of mathematics that deals with particular functions of angles and how to use them in calculations. There are six common trigonometric uses for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their respective names and acronyms.

The figure illustrates these six trigonometric functions in relation to a right triangle. For instance, the triangle has an angle A, and the sine of A, or sin A, is defined as the ratio between the side opposite to A and the side opposite to the right angle (the hypotenuse).

Cos 35° = x/13

0.819152 = x/13

x = 0.819152 × 13

x = 10.6

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