At a concession stand, five hot dog(s) and four hamburger(s) cost $15.25, four hot dog(s) and five hamburger(s) cost $16.25. Find the cost of one hot dog and the cost of one hamburger

The missing information for both parts below include the following:

mVYW = 162 degrees.

m∠XZY = 140 degrees.

In Mathematics and Geometry, the theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

Additionally, the inscribed angle of a circle is equal to half of the central angle of a circle;

mVXW = 1/2(mVYW)

81 = 1/2(mVYW)

mVYW = 162 degrees.

By applying the theorem of intersecting secants, the value of m∠XZY can be calculated as follows:

m∠XZY = 1/2(m∠VW - m∠YX)

m∠XZY = 1/2(106 - 36)

m∠XZY = 140 degrees.

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Recall that for two vector x and y making an angle θ with each,

x • y = ||x|| ||y|| cos(θ)

If we replace y with x, we see that

x • x = ||x|| ||x|| cos(0) = ||x||²   ⇒   ||x|| = √(x • x)

Using the last identity, the magnitude of w is

||w|| = √(w • w)

but since w = u + v, we have

w • w = (u + v) • (u + v)

The dot product distributes over sums and is commutative, so

w • w = (u • u) + (u • v) + (v • u) + (v • v)

… = ||u||² + 2 (u • v) + ||v||²

… = ||u||² + 2 ||u|| ||v|| cos(θ) + ||v||²

If u has a direction of 45° with the positive x-axis, v has a direction of 150°, then the angle between u and v is |45° - 150°| = 105°. So,

||w|| = √(||u||² + 2 ||u|| ||v|| cos(150°) + ||v||²)

… = √(10² + 2 • 10 • 13 cos(150°) + 13²)

… ≈ 14.2

Using the parallelogram rule for vector addition (see attached sketch), the sum of the angle between w and u and 45° is equal to the direction of w.

If φ is the angle between w and u, then

w • u = ||w|| ||u|| cos(φ)

… = 14.2 • 10 • cos(φ)

but we also have

w • u = (u + v) • u

… = (u • u) + (v • u)

… = ||u||² + ||u|| ||v|| cos(105°)

… = 10² + 10 • 13 • cos(105°)

… ≈ 66.4

Then

14.2 • 10 • cos(φ) ≈ 66.4

cos(φ) ≈ 0.467

φ ≈ 62.1°

and so the direction of w is 62.1° + 45° ≈ 107.1°.

Answer:

the 1st one. the unit rate is $21.00

Step-by-step explanation:

85-83=2

2/85×100

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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Answer:

Step-by-step explanation:

To find the tip, we first need to calculate 11% of the bill amount, which is:

0.11 x $65 = $7.15

Therefore, the tip is $7.15.

Answer:

$7.15

Step-by-step explanation:

Syep by step picture attached

Answer: 4!!!!!!!!!!!!!!!

Answer:

2.80

Step-by-step explanation:

Take the cost and divide by the number of padlocks

25.20/9

2.80

Each padlock costs 2.80

Answer:

$2.80

Step-by-step explanation:

25.20 is the total price, and there are 9 padlocks, so to get the price of each padlock, divide 25.20 by 9

25.20/9=2.8

write your answer in dollars: $2.80

Answer:

The graph is in the pic

Step-by-step explanation:

Answer:

60in³

Step-by-step explanation:

I may be wrong sorry if I am

Answer:

15-20i

Step-by-step explanation:

Hello,

When l =-1

6+l = 6-1 = 5

and 5(3-4i)=15-20i

Thanks

6, 10, 15

15,21,35

35, 55, 77

77, 91, 143

143, 187, 221

I can go on forever

There are different possibilities

$560-$500

=$500

therefore, other roommate will be paying $500 per month

Answer: x(15x)

Step-by-step explanation:

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

A 95% confidence interval can be used to reject the null hypothesis of a two-sided test at the 5% significance level if and only if:

b) the null hypotheses fall in the rejection region.

The rejection region is determined by the chosen significance level, which in this case is 5%. If the null hypothesis falls within the rejection region, then we reject the null hypothesis in favor of the alternative hypothesis.

When constructing a confidence interval, we are trying to estimate the true population parameter within a certain level of confidence. A 95% confidence interval means that we are 95% confident that the true population parameter falls within the interval. If the hypothesized value falls within the confidence interval, we cannot reject the null hypothesis. However, if the hypothesized value falls outside the confidence interval, we still need to perform a hypothesis test to determine if we can reject the null hypothesis or not.

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Answer:

x = -30/7

Step-by-step explanation:

6x + 5(2x + 7) = 9x + 5

Distribute

6x + 10x + 35 = 9x+5

Combine like terms

16x +35 = 9x +5

Subtract 9x from each side

16x + 35-9x = 9x-9x + 5

Subtract 35 from each side

7x+35 -35=5-35

7x = -30

Divide each side by 7

7x/7 = -30/7

x = -30/7

Answer:

-30/7

Tell Doja Cat I said Hi

Percent is from the Latin adverbial phrase per centum meaning “by the hundred.”

Using concepts of percentage,

3 is 16.63% of 22.

22 is 13.41% of 164.

0.88 is 4% of 22.

8 is 22% of 36.36.

1.1 is 5% of 22.

A percentage is a number or ratio expressed as a fraction of 100.

Let 3 be x% of 22.

=x/100*22=3

=x=3*100/22=13.63

3 is 13.63% of 22.

Let 22 be y % of 164.

=y/100*164=22

=y=22*100/164=13.41

13.41% of 164 is 22.

4% of 22 = 0.88

=4/100*22=0.88

Let 8 is 22% of z.

=22/100*z=8

=8*100/22=36.36

5% of 22 = 1.1

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Answer:

will it will be D because That the y - intercept

Answer:

500^1/3

Step-by-step explanation:

Exponent rule

The probability of success and failure is the same in both cases.

Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment that has two possible outcomes.

Sample space for throwing (H, H), (H, T), (T, H), (T, T).

So, N(S) = 4.

P(S) = 2/4 = 1/2 and P(F) = 2/4 = 1/2.

The probability of success is \(\frac{1}{2}^{(745)}\).

And the probability of loss is also \(\frac{1}{2}^{745}\).

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Answer:

(4,5)

Step-by-step explanation:

Answer:$59.66

Step-by-step explanation:

Answer:

i. R699. 2

ii. 26.4%

Step-by-step explanation:

Given the following data;

First discount (on original price) = 20%

Second discount (on reduced price) = 8%

Original price = R950.00

*To find how much Jay will pay*

First discount;

\( Discount = \frac {20}{100} * 950\)

\( Discount = 0.2 * 950\)

Discount = R190.00

Reduced price = 950 - 190

Reduced price = R760.00

Second discount;

\( Discount = \frac {8}{100} * 760\)

\( Discount = 0.08 * 760\)

Discount = R60.8

Selling price = 760 - 60.8

Selling price = R699.2

Therefore, Jay will pay R699.2 for the speaker.

ii. To find the final discount percentage;

\( Percent \; discount = \frac {original \;price - selling \; price}{original price} * 100\)

Substituting into the equation, we have;

\( Percent \; discount = \frac {950 - 699.2}{950} * 100\)

\( Percent \; discount = \frac {250.8}{950} * 100\)

\( Percent \; discount = 0.264* 100\)

Percent discount = 26.4%

Therefore, the final discount percentage Jay gets off the original price is 26.4%.

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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The stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To put the given distances in order from the closest one to the farthest one, we need to arrange them in ascending order.

That means we need to start with the smallest value and move toward the largest value.

Looking at the given distances, we see that the smallest value is 0.883, followed by 0.886, then 0.89, and finally 1.25, which is the largest value.

Putting the given distances in ascending order, we get:

0.883, 0.886, 0.89, 1.25

Therefore, the stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

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Answer:

x = 12

y = 12

Step-by-step explanation:

Each triangle is a right angle triangle

5² + x² = 13²

x² = 169 - 25

x = √144

x = 12

The shape is a parallelogram

Therefore

x = y

y = 12

Answer:

50

Step-by-step explanation:

60-10