joyce paid $120 for an item at the store that was 30 percent of the original price. what was the original price?

The scale factor of the drawing is 1/24.

We can set up a proportion to find the scale factor

(scale length)/(actual length) = scale factor

We are given that the length of the tent in the drawing is 5 inches, and

the actual length of the tent is 10 feet, which is equivalent to 120 inches. Substituting these values into the proportion, we get:

5/120 = scale factor

Simplifying the fraction on the left-hand side, we get:

1/24 = scale factor

Therefore, the scale factor of the drawing is 1/24.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

This statement is false.

DeMorgan's laws are fundamental laws in propositional logic that show the relationship between negation, conjunction, and disjunction. Specifically, DeMorgan's laws state:

The negation of a conjunction is the disjunction of the negations: ¬(p ∧ q) ≡ ¬p ∨ ¬q

The negation of a disjunction is the conjunction of the negations: ¬(p ∨ q) ≡ ¬p ∧ ¬q

If the negation operator distributes over the conjunction and disjunction operators, then DeMorgan's laws are still valid. In fact, the distributive law of negation over conjunction and disjunction is sometimes called one of DeMorgan's laws. The distributive law states:

The negation of a conjunction is equivalent to the disjunction of the negations: ¬(p ∧ q) ≡ ¬p ∨ ¬q

The negation of a disjunction is equivalent to the conjunction negations: ¬(p ∨ q) ≡ ¬p ∧ ¬q

So, the distributive law of negation over conjunction and disjunction is a valid form of DeMorgan's laws.

To know more about DeMorgan's laws refer here:

https://brainly.com/question/13265106

#SPJ11

Answer: The answer is some

I know this because I go to Harvard

Answer:

The answer is some

The markers identified when identifying significant digits include:

Significant digits in mathematics refers to digits that  are meaningful in mathematical calculations. This implies that their position and the quantity alters the value of the number. The particular digit and the position determines whether the digit is significant or not.

Instances of digits with their locations that are significant are:

These instances results to significant digits while the instances below the digits are insignificant:

Read more on significant digits here: https://brainly.com/question/24491627

#SPJ1

Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

Corresponding angles of congruent must be equal .

What exactly do you mean by congruent?

Given , L is mid point of JL .

               JL = LN    Mid point

L is mid point of KM .

KL = LM            Mid point

JM = NK               Given

Δle JLM  ≅  Δ le KLN    ( SSS)

∠MJL ≅  ∠ KNL

Corresponding angles of congruent must be equal .

Learn more about congruent

brainly.com/question/12413243

#SPJ4

Using trigonometric ratios, the value of sinθ,  cosθ and tanθ are 8/√113, 7/√113 and 8/ respectively.

To find the values of the trigonometric function, we have to use Pythagorean theorem first to determine the hypothenuse of the triangle.

x² = 8² + 7²

x² = 113

x = √113

x = 10.63 units

a. sin θ = opposite / hypothenuse

sinθ = 8/√113

b. cos θ = adjacent / hypothenuse

cosθ = 7/ √113

c. tan θ = opposite / adjacent

tanθ = 8/7

19.

sinθ = 0.5126

Take the sin inverse of θ

θ = sin⁻¹(0.5126)

θ = 30.84°

Learn more on trigonometric ratios here;

https://brainly.com/question/17155803

#SPJ1

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

An equation is an expression used to show the relationship between two or more numbers and variables.

Let us assume the height of the egg (h) at time t is given by:

h(t) = -16t² + 96t - 120.35

The maximum height is at h' = 0, hence:

h' = -32t + 96 = 0

-32t + 96 = 0

t = 3 sec

h(3) = -16(3)² + 96(3) - 120.35 = 23.65

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

Find out more on equation at: https://brainly.com/question/2972832

If the coordinates of point F are (x,y), then the coordinates of point F' after the dilation will be (3x, 3y).

To find the location of point F' after the triangle is dilated by a scale factor of 3, you need to multiply the coordinates of point F by the scale factor.

For example, if the coordinates of point F are (x,y), then the coordinates of point F' after the dilation will be (3x, 3y).

It's important to note that the dilation will change the size of the triangle, but not its shape. The angles of the triangle will remain the same, and the ratios of the side lengths will also remain the same.

If you have a specific triangle and the coordinates of point F, I can provide more detailed guidance on finding the coordinates of point F' after the dilation.

∴ If the coordinates of point F are (x,y), then the coordinates of point F' after the dilation will be (3x, 3y).

To learn more about Dilation,

visit; brainly.com/question/13176891

#SPJ4

Answer:

i think the answer is 5

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

So a complete circle consists of 360 degrees but we are trying to find what ADB equals so we are going to subtract BDC and ADC from 360:

BDC = 150

The graph does not say what ADC equals so we are going to look at the graph and see that ADC is half of the circle so we are going to divide 360 by 2:

360/2 = 180

So ADC equals 180, since we know what ADC and BDC equal we are going to add them together and then subtract them from 360:

180 + 150 = 330

360 - 330 = 30

So ADB = 30 degrees

Hope this helps!

Answer:

  False

Step-by-step explanation:

The given sequence for n = 0, 1, 2, 3 is 0, 1, 4, 9. The suggested expression for the pattern is 2n. If we use the given values of n in that expression, we get a sequence of 0, 2, 4, 6. That is not the same sequence.

The explicit expression does not represent the given pattern. (False)

Answer:

its is false

Step-by-step explanation:

the sequence would be 0,2,4,6

a)Approximately 1.76% of adults

b) about 35 people

c)About 12.9% of adults

d)Approximately 106.95

Solution:

a. Approximately 1.76% of adults in the USA have stage 2 high blood pressure, which is a systolic bp of 160 or higher.

b. If you sampled 2000 people, you would expect about 35 people to have a systolic bp greater than 160.

c. About 12.9% of adults in the US qualify for stage 1 high blood pressure, which is specified as systolic bp between 140 and 160.

d. If you are in the 30th percentile for blood pressure among US adults, your systolic bp is approximately 106.95, rounded to two decimal places.

To know more about normal distrubution:

https://brainly.com/question/15070946

#SPJ11

The result of Multiplying 138.2 km by 3.5 km is 483.7 km².

To perform the indicated calculation, we need to multiply 138.2 km by 3.5 km.138.2 km x 3.5 km = 483.7 km²

The result of multiplying 138.2 km by 3.5 km is 483.7 km².

When dealing with significant figures, we should consider the least precise measurement involved in the calculation, which in this case is 3.5 km (with two significant figures). Therefore, we should round the answer to the same number of significant figures, resulting in 480 km².

So, rounding according to the rules for significant figures, the result of the calculation 138.2 km x 3.5 km is approximately 480 km².

To know more about Multiplying .

https://brainly.com/question/10873737

#SPJ11

Just after her payment at the 2 1/2 year mark, Maria will owe approximately $7,722.63 on her loan.

To calculate the amount Maria will owe just after her payment at the 2 1/2 year mark, we need to determine the remaining balance on her loan.

First, we convert the loan duration to months:

2 1/2 years = 2.5 * 12 = 30 months.

Next, we use the formula for the remaining balance on a loan:

Remaining balance = Principal * (1 + monthly interest rate)^remaining months - Monthly payment * [(1 + monthly interest rate)^remaining months - 1] / monthly interest rate.

Principal = $10,000

Monthly interest rate = 7.8% / 12 = 0.065

Remaining months = 48 - 30 = 18

Plugging in the values, we have:

Remaining balance = $10,000 * (1 + 0.065)^18 - $243.19 * [(1 + 0.065)^18 - 1] / 0.065

Calculating this expression step by step:

Remaining balance = $10,000 * (1.065)^18 - $243.19 * [(1.065)^18 - 1] / 0.065

≈ $7,722.63

Know more about loan here:

https://brainly.com/question/11794123

#SPJ11

the equation (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions. Therefore the correct option is a.

To determine which equation(s) have both 2 and -5 as solutions, substitute these values into each equation and see if they satisfy the equation. Let's check each option:

a. \(x^2 + 3x - 10 = 0\)

Substituting x = 2:

\((2)^2 + 3(2) - 10 = 4 + 6 - 10 = 0\)

Substituting x = -5:

\((-5)^2 + 3(-5) - 10 = 25 - 15 - 10 = 0\)

Both 2 and -5 satisfy the equation, so option a has both 2 and -5 as solutions.

b. \(x^2 - 3x - 10 = 0\)

Substituting x = 2:

\((2)^2 - 3(2) - 10 = 4 - 6 - 10 = -12\)

Substituting x = -5:

\((-5)^2 - 3(-5) - 10 = 25 + 15 - 10 = 30\)

Neither 2 nor -5 satisfy the equation, so option b does not have both 2 and -5 as solutions.

c. \(x^2 + 7x + 10 = 0\)

Substituting x = 2:

\((2)^2 + 7(2) + 10 = 4 + 14 + 10 = 28\)

Substituting x = -5:

\((-5)^2 + 7(-5) + 10 = 25 - 35 + 10 = 0\)

Only -5 satisfies the equation, so option c does not have both 2 and -5 as solutions.

d. \(x^2 - 7x + 10 = 0\)

Substituting x = 2:

\((2)^2 - 7(2) + 10 = 4 - 14 + 10 = 0\)

Substituting x = -5:

\((-5)^2 - 7(-5) + 10 = 25 + 35 + 10 = 70\)

Only 2 satisfies the equation, so option d does not have both 2 and -5 as solutions.

In conclusion, the equation in option a (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions.

To learn more about equation

https://brainly.com/question/17482667

#SPJ11

Answer:

A ray

Step-by-step explanation:

There is an open circle at x = 3, and the graph goes infinitely left.

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

Learn more about Stemplot here:

https://brainly.com/question/29174445

#SPJ4

It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.

To find how long will it take joe to climb from street level to the roof of the sears tower:

Therefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.

Know more about speed here:

https://brainly.com/question/13943409

#SPJ4

Answer:

3,600

Step-by-step explanation:

well, there is 60 in a minute and 60 minutes in a hour, so multiply 60 x 60

The new price offers price is less than the offer of 20% discount.

Given that,
Jamil buys a video game for 20% off the original price. He pays $36, excluding sales tax. One week later, he sees an advertisement for $10 off the original price. This is the new sales price.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
percentage of the price paid = 1 - 0.2 = 0.8
Let the original price be x,
According to the question,
36 = 0.8 (x)
x = 36/0.8
x = $45
Since the original price is $45,
As of the new price, the price is $10 so the price becomes $35 which is less than a 20% discount.

Thus, the new price offers price is less than the offer of 20% discount.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

The calculated value of x in the circle is 59

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

Read more about circles at

https://brainly.com/question/32192505

#SPJ1

Answer:

9.88 units

Step-by-step explanation:

We are given that area of triangle  is given by

\(A=\sqrt{s(s-21)(s-17)(s-10)}\)

s=Half perimeter

By comparing with

\(A=\sqrt{s(s-a)(s-b)(s-c)}\)

We get

a=21

b=17

c=10

\(s=\frac{a+b+c}{2}=\frac{21+17+10}{2}=24\)

Now, the area

\(A=\sqrt{24(24-21)(24-17)(24-10)}\)

A=84

Area of triangle, \(A=\frac{1}{2}\times bh\)

b=17

\(84=\frac{1}{2}(17)(h)\)

\(h=\frac{84\times 2}{17}\)

\(h=9.88 units\)

Hence, the height of the triangle=9.88 units

Independent and dependent variables are interdependent.

Dependent Variable: The term "dependent variable" refers to the variable that is being measured or tested in an experiment.

The results of the participants' tests, for instance, would be the dependent variable in a study looking at how tutoring affects test scores because that is what is being measured.

If you keep in mind that the dependent variable depends on the independent variable, finding it can be simpler.

This isn't the same as an experiment's independent variable, which is a variable that can stand on its own. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).

The unrelated factor

Because the experimenters are allowed to change the independent variable as necessary, it is called a "independent" variable.

For more questions on dependent and independent variable

https://brainly.com/question/1479694

#SPJ4

Step-by-step explanation:

please give me brainlest

Answer:

230

Step-by-step explanation:

54+4(34-12)2

54+4(22)2

54+8(22)

54+176

Since an outlier will have an effect when dealing with small sample sizes the true statement is option b. They have the biggest effect when dealing with small sample sizes.

An outlier

In Mathematics, an outlier is a value of a set of data that is quite different from the other values. In simple terms, outliers are values that are far from the middle.

Outliers have a significant impact on the mean, but not on the median or mode. Remember There is no such rule that determines the outliers of data, these are extreme values of data.

Example:

1) 15, 16, 20, 26, 30, 31, 35, 42, 45, 150, 200  

In the given data, 150 and 200 are different from other values

An outlier of given data is 150 and 200

These are the points that lie outside the entire distribution. These outliers are shown as dots.  

Learn more about Outlier at

https://brainly.com/question/26958242

#SPJ4

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.