. A sporting goods store offers a rewards program where the customer earns a $20 gift card for every 1,500 points. Suppose a new customer receives a certain number of points when signing up and earns a number of points for every dollar purchased at the store. If a new customer has 750 points after spending $30 and 1,025 points after spending $85, how much does the customer have to spend to earn the first gift card?​

The length of JM is 24 units.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

<H= <K=  <N= 90

and, GH || JK || MN

then, Using proportion

GL/ GM = HK/ HN

18/ (18+ x) = 15/ (15+20)

18(15+20) = 15(18+x )

18 . 20= 15 x

x= (18)(20)/ 15

x= 24

Hence, the length is 24 units.

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Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r

The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

Answer:

84 x^12

Step-by-step explanation:

(4x)(-3x^8)(-7x^3)

Multiply the numbers

4*-3 *-7 = 84

x* x^8 * x^3 = Add the exponents = x^(1+8+3) = x^12

84 x^12

The value of b is 11.

From the question, we have

ax² + bx + c

using (0, 9)

substituting the value  we get

9 = a(0)² + b(0) + c

c = 9

Therefore,

-1 = a(-1)² + b(-1) + c

-1  = a - b + 9

-1 - 9 = a - b

a - b = - 10

using (-2, -9)

-9 = a(-2)² + b(-2) + 9

-9 - 9 = 4a - 2b

-18 = 4a - 2b

2a - b = -9

combine the equation

a - b = - 10

2a - b = -9

solving the equations we get

a = 1

Then,

1 - b = -10

b = 1 + 10

b = 11

Hence, the value of b is 11.

Subtraction:

The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.

The symbol for subtraction is the letter "-". The three numerical elements that make up the subtraction operation are the minuend, the subtrahend, and the difference. As the first integer to be subtracted from in a subtraction phrase, a minuend is the first number in the subtraction process.

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Absolute value: C

Quadratic: D

Constant: A

Square root: E

Linear: B

There are the equations for the graphs on the bottom:

y=2 is constant because the y value never changes

y=x is linear because the y value changes at a constant rate

y= |x| is absolute value because |x| is the absolute value of x

y=x^2 is quadratic because quadratic functions have a degree of 2

y=sqrt(x) is a square root because y= square root of x

The correct option is 1 and 4  of the given inequality  –3(2x – 5) < 5(2 – x)

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:

-6x + 15 < 10 – 5x

x < 5

Therefore, options 1 and 4 are correct. The other options do not correctly represent the inequality.

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Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

125

Step-by-step explanation:

15/12 you get 125. Then multiple it by 100 and you get 125.

Answer:

the coordinates of B is (-2,5)

Step-by-step explanation:

The inverse of the function is f⁻¹(x)=3+√18+x, 3-√18+x

A relation is a function if it has only One y-value for each x-value.

Let us consider the function f(x)=(x-3)²

Where x belongs to [1, 2]

f(x)=x²+9-6x

y=x²+9-6x

Interchange the variables.

x=y²+9-6y

y=3+√18+x

y=3-√18+x

Relace y with f⁻¹(x)

f⁻¹(x)=3+√18+x, 3-√18+x

Hence, the inverse of the function is f⁻¹(x)=3+√18+x, 3-√18+x

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Answer:

-13 and 2

Step-by-step explanation:

xy= -26

x+y= -11

x= -11-y

y(-11-y) = -26

-y^2 -11y +26 = 0

y^2 +11y -26

(y+13)(y-2)

so -13 and 2

The distribution is skewed to the left.

A dot plot is a graph that is made up of dots and a number line. The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots.

For example if a the number 5 has 10 dots above it, it means that 5 has a frequency of 10.

The given dot plot is skewed to the left because the number of dots on the left is greater than the number of dots on the right.

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

Step-by-step explanation:

Answer:

the answer is 19-2v combine like terms if not that then try this....

19-2y=0

-2y=-19

Then divide by -2

y=-19/-2

=9.5

Step-by-step explanation:

2*(1/4)=0.25*2= 0.5 = (2/4)

(2/4) + (3/4)= (5/4) =

Answer: Its A

Step-by-step explanation:

have a great day!

The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric , Option A is the correct answer.

Box plot is a systematic way of distribution of data in  a five number summary , minimum, first quartile , median, third quartile , and maximum .

The box plot is said positive skewed when the mean of the plot is greater than the median and the mean is more towards the lower quartile.

The box plot is said positive skewed when the mean of the plot is less than the median and median is towards the upper quartile.

In the box plot given it can be seen that the Panther's have a symmetrical box plot while , The Wolverines' distribution is negatively skewed .

Therefore , Option A is the correct answer.

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Answer:

last one or d

Step-by-step explanation:

Lets test these statements. 1 is incorrect. 2 is incorrect 3 is incorrect 4 is correct.

The answer is the last one

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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Answer:

Option (D).

Step-by-step explanation:

Cost of the popcorn purchased by Steven = $4 for each popcorn

And cost of drinks purchased = $3 for each drink

Cost of 'p' popcorn = $4p

Cost of 'd' drinks = $3d

Total money Steven has to spend = $24

Inequality representing the expenditure will be,

4p + 3d ≤ 24

Constraints for the inequality are,

p ≥ 0

d ≥ 0

Therefore, Option (D) will be the answer.

The formula (ff/fm) for the relationship between fiber load and matrix load is correct.

The load transfers from the matrix to the fiber and vice versa happen through the fiber-matrix interfacial region, which is a crucial component of composites. The majority of authors are in favor of weak interfaces as a way to boost fracture toughness. Crack-bridging and fiber pullout are given the toughening designation.

But, Vm=Am/Ac,

which, upon rearrangement gives Ac/Am=1 /Vim  

 . Also, from Equation 16.10a,Ec=EmVm+EfVf, which, when substituted for Ec   into the previous expression, yields Ff Fm=EmVm+EfVfEmVm-1=EmVm+EfVf-EmVmEmVm=EfVfEmVm

The formula (ff/fm) for the relationship between fiber load and matrix load is correct.

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1. The coupon will save: $6.

2. The sales tax is of: $1.44.

3. The total price paid for the meal is of: $25.44.

The total cost is obtained applying the proportions in the context of this problem.

The initial fee for the meal is of:

$30.

With the coupon of 20% off, the amount paid is of:

0.8 x 30 = $24.

Meaning that the amount saved is of:

30 - 24 = $6.

After the sales tax, the total price is of:

1.06 x 24 = $25.44.

Meaning that the tax is of $1.44.

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the slope of the line is,

it is also passing through (8,0)

so the linear function is, y = mx + c

y - 0 = -5/2(x-8)

y = -5/2x +20

thus, the linear function is y = -5/2x + 20