17.
Marita purchased an item for 25% off the original price, plus an additional 20% off the
sale price. She also had a $10-off coupon, which the salesclerk applied after these two discounts. Marita's
final purchase price for the item was $30. Assuming she paid no sales tax, what was the original price of the
item Marita purchased?

Answer:

Here is the desmos graph

Step-by-step explanation:

Answer: x = 2 y = 1

Step-by-step:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2, 1)

Equation Form:

x = 2, y = 1

The graph should look like this, sorry if my explanation wasn't really that good.

Answer:

40°C

Step-by-step explanation:

Plug in 104° for F. This makes the equation \(\frac{5}{9}(104-32)=C\).

Now, simplify.

\(104-32=72\\\frac{5}{9} (72)=40\\C=40\)

Hope this helps!

Answer:5x-3y=2

Step-by-step explanation:

Answer:

/-37/, /-24/, /-6/, /2/, /18/, /23/

Answer:

D. Bo teaches 18 classes while erica teaches 22

Step-by-step explanation:

Erica teaches 14 less classes than double the amount that Bo teaches.

Double of 18 is 36

36 minus 14 is 22

therefor the correct answer is D

Answer:

-10

Step-by-step explanation:

12-30

3z+12-30=-48

3z=-30

z=-10

Answer:

26,400 N

Step-by-step explanation:

PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION

what's the question?

Answer:

.quadrant 4 is the new point locatef

Answer:

Letter B

Step-by-step explanation:

Answer:

I belive the answer is B

Step-by-step explanation:

Answer:

2. LeBron is relatively taller because he has a larger z-score.

Step-by-step explanation:

Given that ,

mean =\(\mu\)  = 69.5

standard deviation \(=\sigma\)  = 2.7

x = 81

Now use the formula of   z-score

\(z = x - \frac{\mu}{\sigma}\)

z =\(81 - \frac{69.5}{2.7}\)

z = 4.26  LeBron  

mean = \(\mu\) = 64.2

standard deviation =\(\sigma\)  = 3.2

x = 76

Now use the formula of   z-score

\(z = x - \frac{\mu}{\sigma}\)

\(z = 76 - \frac{64.2}{3.2}\)

z = 3.69 Candace  

As it can be seen that the lebron is taller as he has more z-score as compared to the Candace  

9514 1404 393

Answer:

  A, C, E

Step-by-step explanation:

The proportional relations on the list are ...

We often model running distance and time as proportional, but a marathon is a long enough run that speed is rarely constant. It usually decreases over the course, and may increase near the end.

__

A relationship is proportional if there is a constant multiplier that relates the output to the input.

_____

Additional comment

For the relations listed above, the constants are ..

For running time and distance, the multiplier is speed. The relation is only proportional if speed is a constant.

Answer:

U= 2i - 1i and V= 3i + ji

Step-by-step explanation:

I hope that is the correct answer

Answer:

0.74751

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ, where

x is the raw score = $460

μ is the population mean = $490

σ is the population standard deviation = $45

z = 460 - 490/45

z = -0.66667

Probability value from Z-Table:

P(x < 460) = 0.25249

P(x > 460) = 1 - P(x<460)

P(x > 460) = 1 - 0.25249

P(x > 460) = 0.74751

The probability that a randomly selected teacher earns more than $460 a week is 0.74751

Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

h)Having distinct digits and even are 337

We have,

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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1.67 pounds flour we get per dollar.

Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.

Given,

Cost for 2 pounds of flour = $ 1.20

Cost per pound of flour = $ 1.20 /2

                                       = $ 0.20

Now for 2 dollar we get flour = 2 pounds.

for 1 dollar we will get flour = 2/1.20 pounds

                                              = 1.6666 pounds

i.e. for 1 dollar we will get flour = 1.67 pounds.

So, 1.67 pounds flour we get per dollar.

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Solution

For this case the total of pictures are 345

We know that pictures from the first book are 121

Then we can create the following equation:

345= 121 +x

Where x= number of pictures for the second book

And solving we got:

x= 345-121= 224

Then the answer would be:

224 pictures

Question:

Write out the first three terms and the last term. Then use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

30

∑  (−3i+5)

i=1

Answer:

The first three terms are : 2, -1 and -4

The last term is: -85

The sum of the sequence is: -1245

Step-by-step explanation:

Given;

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

30

∑  (−3i+5)                    -------------------(i)

i=1

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

Where the ith term aₙ is given by;

\(a_{i}\) = \(-3i + 5\)         -------------------(ii)

(a) Therefore, to get the first three terms (\(a_1, a_2, a_3\)), we substitute i=1,2 and 3 into equation (ii) as follows;

\(a_{1}\) = \(-3(1) + 5\) = 2

\(a_2 = -3(2) + 5 = -1\)

\(a_3 = -3(3) + 5\)\(= -4\)

Since the sum expression in equation (i) goes from i=1 to 30, then the last term of the sequence is when i = 30. This is given by;

\(a_{30} = -3(30) + 5 = -85\)

(b) The sum \(s_n\) of an arithmetic sequence is given by;

\(s_n = \frac{n}{2}[a_1 + a_n]\)   -----------------(iii)

Where;

n = number of terms in the sequence = 30

\(a_1\) = first term = 2

\(a_n\) = last term = -85

Substitute the corresponding values of n, \(a_1\) and \(a_n\) into equation (iii) as follows;

\(s_n = \frac{30}{2}[2 + (-85)]\)

\(s_n\) = 15[-83]

\(s_n\) = -1245

Mr. Cho received 3840 eggs in the beginning.

Let's assume that Mr. Cho received x eggs in the beginning.

In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.

In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.

At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:

3/4 × x = 2/3 × x - 320

Multiplying both sides by 12, we get:

9x = 8x - 3840

Simplifying, we get:

x = 3840

Therefore, Mr. Cho received 3840 eggs in the beginning.

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If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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Step-by-step explanation:

2*a*b + 2*a*c + 2*b*c = 2*8*2 +2*8*7 + 2*2*7 = 32 + 112 + 28 = 172 ft²

Answer:

172 ft2

Step-by-step explanation:

bxhxw= surface area

8x2x7=172

unit--> ft2

Explanation:

The special symbol \(\varnothing\) represents the empty set. Another way to write the empty set is to use curly braces with nothing inside them. Not even zero is inside the empty set.

One property of set mathematics is that the empty set is a subset of every set, even itself.

Therefore, the claim \(\varnothing \subseteq \left\{\text{Charlie Chaplin},\text{Groucho Marx},\text{Woody Allen}\right\}\) is a true statement.

Answer:

4.4

Step-by-step explanation:

10.6 + x = 15

x = 15 - 10.6 = 4.4

The length of the arc CD is 14.13 centimeters.

Remember that for an arc defined by an angle a in a circle of radius R, the length of the arc is given by:

L  = (a/360°)*2*pi*R

Where pi = 3.14

Here the angle is a = 45°

And R = 18cm, so we can replace that in the formula above to find the length.

L = (45°/360°)*2*3.14*18cm = 14.13cm

That is the length of the arc CD.

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D) 3 x 3/5 = 9 x 1/5 represents the LHS as a multiple of the unit fraction.

A) the fraction 2/5 s not a unit fraction

B) 3 x 3/5 \(\neq\) 3 x 1/5

C) 3 x 3/5 \(\neq\) 6 x 1/5

D) 3 x 3/5 = 9 x 1/5

A unit in measurement, is the smallest fundamental measure, in terms of which all other measurements are given. By a unit fraction, we mean a simple fraction, such that every other fraction in a certain class of fractions can be represented as an integer multiple of that fraction. The point to note is that every other fraction in the group should be an integer multiple of the unit fraction.

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Required equation represents

3 × 3/5 as a multiple of a unit fraction is 9 x 1/5.

To multiply a whole number by a fraction, you can convert the whole number to a fraction with a denominator of 1. So, 3 can be written as 3/1.

Now, to multiply 3/1 by 3/5, you can multiply the numerators (top numbers) together and the denominators (bottom numbers) together separately:

3/1 × 3/5 = (3 × 3) / (1 × 5)

Simplifying the numerator and denominator gives 9/5

To write this as a multiple of a unit fraction (a fraction with a numerator of 1), you need to rewrite 5 as a product of 1 and another number (in other words, find a denominator that is a multiple of 5):

5 = 1 × 5

Then, you can write 9/5 as:

9/5 = (9/1) × (1/5)

So, the equation that represents 3 × 3/5 as a multiple of a unit fraction is:

3 × 3/5 = 9 x 1/5

So, the correct option is D) 9 x 1/5.

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Answer:

use this info to help answer it

Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.

Answer:

m=0.46

Step-by-step explanation:

Answer:

m=42.78÷93

m=0.46

Step-by-step explanation:

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