30x+50y=420
15x+35y=220
Use elimination method

Answer:

1/2 feet per second.

Step-by-step explanation:

As per the congruent theorem, if the non-included side of a triangle are equal to the corresponding angles, then it is congruent.

Congruent theorem:

Congruent theorem means all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.

Given,

Here we need to find in which triangle are congruent by AAS.

Based on the congruent theorem, If two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

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Answer: 13.3333333333333333333333334

Step-by-step explanation:

8/300 x 500

Answer:

3,969

Step-by-step explanation:

i think it might be

Hey there!

The answer to your question is 313/495

To solve this, let's use the equation x = .6323232...

We want to get ONLY THE REPEATING PART on one side of the decimal, so we can multiply the equation by 101:

100x = 6.323232...

Now, we can take the original equation and subtract it from the new equation:

100x = 63.232...

     x =     .632...

 99x = 62.6

Now, divide both sides by 99.

x = 62.6/99

Simplify the fraction:

x = 313/495

Good luck! Hope it helps, and have a great day!

Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

Answer:

18, there are 18 blueberries

Step-by-step explanation:

81÷9=9

2×9=18

Answer:

18 blueberries

Step-by-step explanation:

Let no. of blueberries be b.

=> 2 : 9 = b : 81

=> b = 2 x 81 / 9

=> b = 2 x 9

=> 18 blueberries

Answer:x=5.02012883+πn2,1.26305647+πn2, for any integer n

Step-by-step explanation:

the first condition is: she made a total of 120 baskets so:

and the secon condition is for the points so:

So the solution is A.

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Answer:

I try my best to give you answer

Answer:

77.43% decrease

Step-by-step explanation:

A decrease of 11% = (100 - 11)% = 89% = \(\frac{89}{100}\) = 0.89

A decrease of 13% = (100 - 13)% = 87% = \(\frac{87}{100}\) = 0.87

A 11% decrease followed by a 13% decrease has an overall change of

0.89 × 0.87 = 0.7743 × 100% = 77.43%

Answer: x=10-y

Step-by-step explanation:

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

C: EAF Is the correct answer

The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.

Recall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.

A number's absolute value can be conceived of as its distance from zero along the real number line.

So, given  |x| + 3 > 3

Add minus three to both sides

|x| + 3  + (-3) > 3 + (-3)

|x|  > 0

Thus, the absolute value of x is

x > 0 or x < -0

put in the form of inequality, we have

x > 0 or x < 0

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a) The probability of no orders in 5 minutes is calculated to be 0.36788.

b) The probability of three or more orders in 5 minutes is calculated to be 0.08.

c) The length of the time interval such that the probability of no orders in a time interval of this length is 0.001 is calculated to be 34.5 min.

X is assumed to be the poisson's distribution where λ = 12 orders per hour.

a) At T = 1/12 hours which is 5 min, probability of no orders,

P (X = 0) = e^(-12/12) = 0.36788

b) At T = 1/12 hours which is 5 min, probability of three or more orders,

P (X ≥ 3) = 1 - P (X ≤ 2) = 1 - e⁻¹(1 + 1 + 1/2) = 0.08

c) Let us find the interval T for which:

P (X = 0) = 0.001

e^(-12T) = 0.001

Solving the equation for T we have,

T = -1/12 ln(0.001) = 0.5756 hours = 34.5 min

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Answer:

0.218

Step-by-step explanation:

The number of ways to choose 4 people out of 8 is 8 choose 4, which can be calculated as C(8,4) = 8! / (4! * (8-4)!). The probability that each chosen person owns a stock is 0.2 and the probability that each not-chosen person doesn't own a stock is 0.8. The desired probability is then:

C(8,4) * (0.2^4) * (0.8^(8-4)) = 70 * 0.0256 * 0.4096 = 0.21807104

So, the probability of exactly 4 people out of 8 owning a stock is approximately 0.218.

Hope this helps!

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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Answer:

the answer is 147

Step-by-step explanation:

first you do 3.5cm times 84cm which is 294cm

then you do 294cm divided by 2 which is 147cm

the reason why you divide by 2 is because parallelograms like the triangle can be also halved into 2 separate triangles!!

hope this helped <3

Answer:

x = 3.7

Step-by-step explanation:

15.61 + 4 = 19.61

19.61 divided by 5.3 = 3.7

Therefore, x = 3.7

Also because it syas "5.3x", it means you have to times that number and x to get the total number; so we can do the equation.

Answer:

Step-by-step explanation:

(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:

N = -0.3(0) + 250

N = 250

Therefore, the N-intercept is (0, 250).

(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.

(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:

0 = -0.3t + 250

0.3t = 250

t = 250/0.3

t ≈ 833.33

Therefore, the t-intercept is approximately (833.33, 0).

(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.

Answer:

22

Step-by-step explanation:

Is easy just multiple

Answer:

  2x +3y = -27

Step-by-step explanation:

You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).

A parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.

To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:

  2x +3y = c

  2(-3) +3(-7) = c = -6 -21 = -27

The desired equation is ...

  2x +3y = -27

Answer:

B. 6 1/4

Step-by-step explanation:

The computation of the more flour Nicholas needed for making the cake and cookies is shown below:

\(11 \frac{3}{4} - 5\frac{1}{2}\)

= 11.75 - 5.50

= 6.25 more cups of flour  

Therefore to make the cookies and cakes, 6.25 more cups of flour is required or needed and the same is to be considered

hence, the correct option is B.  6 1/4

The answer should match the image below.

Step-by-step explanation:

$157.50

i HOPE THIS HELP YOU

Answer:

a. True

Step-by-step explanation:

Histograms are nothing but a way to representing data. They are often shown like the bar charts, but they show the frequency density and not the  frequency. The histograms are used to determine the information about the distribution of the given data.

The graph of the continuous distribution is represented by a curve and the area under the region of the curve is equal to the density of the region.

Monica is wrong to say she will earn more interest in 1 year than Paul because her interest  rate is higher.

Simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Therefore, Monica deposits $100 into a savings account that pays a simple interest rate of 4.5%.  Let's find the simple interest for Monica at 1 year.

I = prt / 100

where

Therefore,

I = 100 × 4.5 × 1 / 100

I = 450 / 100

I = 4.5 dollars

Paul deposits $200 into a savings account that pays a simple interest rate 2.9%. Let's find the simple interest of Paul for 1 Year.

I = 200 × 2.9 × 1 / 100

I = 580 / 100

I = 5.8 dollars

Therefore, Monica will earn lesser interest in 1 year than Paul.

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