The sum is two numbers is 65. The difference of the two numbers is 17. Write systems of equations and find two numbers

Answer: The probability that she would choose cake is 0.33 (or 33%)

Step-by-step explanation: The number of all possible outcomes is given as follows;

4 (ice cream) + 3(cake) + 2(pie), that is 4 + 3 + 2 = 9  

This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.

However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.

Therefore the probability that she will choose a cake is give as,

P(Cake) = Number of required outcomes/Number of all possible outcomes

P(Cake) = 3/9

P(Cake) = 1/3 or 0.33

Therefore the probability that she would choose cake is 0.33 or 33%

Answer:

40 percent off

Step-by-step explanation:

40 percent off 80.00 is 48.00

Complete Question

Imagine a large Source [tex](S_o)[/tex] population of 500  files at a particular time we will call [tex]T_s[/tex].The files have brown ebony bodies. Suppose that 200 flies are ee, 150 flies are Ee, and 150 flies are EE. calculate the frequencies of the 3 genotypes for this population. do not leave your answers as fractions!

Answer:

The frequency of  genotype ee is  [tex]f_{ee}= 0.4[/tex]

The frequency of  genotype Ee is [tex]f_{Ee} = 0.3[/tex]

The frequency of  genotype EE is [tex]f_{EE} = 0.3[/tex]

Step-by-step explanation:

From the question we are told that

   The number of files with genotype ee is [tex]ee = 200[/tex]

    The number of files with genotype Ee is [tex]Ee = 150[/tex]

    The number of files with genotype  [tex]EE[/tex] is [tex]EE = 150[/tex]

The frequency of  genotype ee is mathematically evaluated as

      [tex]f_{ee} = \frac{200}{500}[/tex]

      [tex]f_{ee}= 0.4[/tex]

The frequency of  genotype Ee is mathematically evaluated as

      [tex]f_{Ee} = \frac{150}{500}[/tex]

      [tex]f_{Ee} = 0.3[/tex]

The frequency of  genotype EE is mathematically evaluated as

      [tex]f_{EE} = \frac{150}{500}[/tex]

      [tex]f_{EE} = 0.3[/tex]

Answer:

2 hours

Step-by-step explanation:

According to the information provided you can say that for company A, the total cost is equal to 90 for the number of hours plus the 50 fee. For company B, the total cost is equal to 70 for the number of hours plus 90.

90x+50= 70x+90

x= number of rental hours

Then, you have solve for x:

90x-70x=90-50

20x=40

x=40/20

x= 2

The cost for both companies is the same for 2 rental hours.

Answer:

h = 2 hrs

Step-by-step explanation:

Mr Clark needed to rent a moving Van.

Company A charges

cost = 50 + 90(h)

where

h = number of hours used

Company B charges

cost = 90 + 70(h)

where

h = number of hour used

The number of rental hours when both companies cost is same is when both the cost equation is equal to each other.

Therefore,

50 + 90(h) = 90 + 70(h)

50 - 90 = 70h - 90h

-40 = -20h

divide both sides by -20

h = -40/-20

h = 2 hrs

Answer:

Step-by-step explanation:

trg CDE ,<C=<E=(180-20)/2=80

trg ABC,<C=80

<A=180-(80+52)=180-132=48

so <F=<A=48 grades

The answer is attached.

The answer is C. There are infinitely many solutions.

Answer:

The Answer is the first one, A                                            

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.

Answer:

The slope is 0.

Step-by-step explanation:

m= (y2-y1)/(x2-x1).

y2 is -3, y1 is -3.

x2 is 1 and x1 is -9.

m= -3 -(-3)/ 1- (-9)

m= 0/10

m=0

The slope of the line that passes through the points (-9, -3) and (1, -3) is 0 because the y-coordinates of both points are the same and this results in a 'change in y' of 0.

In mathematics, the slope of a line passing through two given points can be calculated by the formula: (y2 - y1) / (x2 - x1). Where y2 and y1 represent the y-coordinates of the two points and x2 and x1 represent the x-coordinates of the two points. However, in this particular case, we see that the y-coordinates of both points (-9, -3) and (1, -3) are the same as -3.

This means our 'change in y', or (y2 - y1), is equal to zero (-3 - -3 = 0). Any fraction with 0 as the numerator (0 divided by any number) is itself equal to 0. Therefore, the slope of the line that passes through the points (-9, -3) and (1, -3) is 0.

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Answer:

252/6=42

Step-by-step explanation:

BRAINLIEST PLZ

Answer:

The length of the wall that the plaques will cover is 42 feet long.

Step-by-step explanation:

Wall is rectangular in shape

So Area = length × width

252 = 6 × length

length = 252/6

length = 42

The required area of the circle with a radius of 7 ft is given as 153.9 ft².

The area of the circle is given by the pie times square of the radius. Or defined as the area enclosed within the circumference of the circle.

here,
Area of the circle = πr²

From the given data radius is 7ft,
plugging the value in the area formula of the circle,
Area of the circle = 3.14 × 7² = 153.9 ft²

Thus, the required area of the circle with a radius of 7 ft is given as 153.9 ft².

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Answer:

Step-by-step explanation:

BACD

Final answer:

The numbers from least to greatest are 2.62 (262%), 2.6 (2 3/5), and 26.2.

Explanation:

To arrange the numbers 26.2, 262%, and 2 3/5 from least to greatest in all decimal or percent forms, we need to convert them into the same form.

First, we know that 262% as a decimal is 2.62. The mixed number 2 3/5 can be converted to a decimal by dividing the numerator by the denominator and adding it to the whole number, resulting in 2 + 0.6 = 2.6.

Now we have the numbers in decimal form: 26.2, 2.62, and 2.6.

To order them from least to greatest:

When converting back to percent form, remember to multiply by 100. Thus, 2.62 is already given as 262%, and 2.6 becomes 260%.

Answer:

D

Step-by-step explanation:

Vus vi velt  vike vit

The box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).

A box plot is a graphical representation of the five-number summary of a data set.

The five-number summary comprises of: minimum value, maximum value, lower quartile (Q1), median, and upper quartile (Q3).

Find the five-number summary of the data set, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9:

Minimum = 0

Maximum = 9

Median = 3

Q1 = 1

Q3 = 5

Therefore, the box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).

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Answer:

you have to put the pie chart to get an answer

Step-by-step explanation:

Answer:

Make all sides right angles

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

A square must have 4 right angles and perpendicular congruent diagonals which already meets the requirements of a rhombus.

Answer: 0.46, 0.056, the distribution is approximately normal

Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10

Answer:

37/8

Step-by-step explanation:

Subtract 8x from both sides and get 8x+9=46 subtract 9 from both sides and get 8x=37 divide by 8 and get 37/8

Answer:

x=4.625

Step-by-step explanation:

16x+9=8x+46

-8x

8x+9=46

-9

8x=37

/8

x=4.625

Answer:

After a Week(7 days)

[tex]Purse \:A: \$2200\\Purse B: \$0.64[/tex]

After 2 Weeks(14 days)

[tex]Purse \:A: \$3600\\Purse B: \$81.92[/tex]

After 3 Weeks(21 days)

[tex]Purse \:A: \$5000\\Purse B: \$10485.76[/tex]

After 30 days

[tex]Purse \:A: \$6800\\Purse B: \$5368709.12[/tex]

Therefore, Purse B contains more money after 30 days.

Step-by-step explanation:

Purse A

The amount of money($1000) in purse A for each consecutive day grows with $200. The sequence is written as:

1000,1200,1400,...

This is an arithmetic sequence with the first term being $1000 and the common difference $200.

Therefore, for any number of day, n, the amount of money in the purse,

[tex]T_n=1000+200(n-1)[/tex]

Purse B

1 Penny=$0.01

The amount of money(1 Penny) in purse B for each consecutive day doubles. The sequence is written as:

0.01,0.02,0.04,...

This is a geometric sequence with the first term being $0.01 and the common ratio 2.

Therefore, for any number of day, n, the amount of money in  purse B,

[tex]T_n=0.01(2)^{n-1}[/tex]

After a Week(7 days)

[tex]Purse \:A: T_7=1000+200(7-1)=\$2200\\Purse B: T_7=0.01(2)^{7-1}=\$0.64[/tex]

After 2 Weeks(14 days)

[tex]Purse \:A: T_{14}=1000+200(14-1)=\$3600\\Purse B: T_{14}=0.01(2)^{14-1}=\$81.92[/tex]

After 3 Weeks(21 days)

[tex]Purse \:A: T_{21}=1000+200(21-1)=\$5000\\Purse B: T_{21}=0.01(2)^{21-1}=\$10485.76[/tex]

After 30 days

[tex]Purse \:A: T_{30}=1000+200(30-1)=\$6800\\Purse B: T_{30}=0.01(2)^{30-1}=\$5368709.12[/tex]

Final answer:

After calculating daily increases for Purses A and B over several time frames, it's evident that Purse B, which doubles its amount every day, holds a vastly greater sum after 30 days, illustrating the power of compound interest.

Explanation:

Calculating Growth in Purses A and B

Let's start by determining the amount in each purse after one week (7 days) and after two weeks (14 days). Purse A gains $200 more each day, starting with $1,000 on day 1. Purse B's amount doubles every day, beginning with 1 penny on day 1.

For Purse A, we can calculate the total after one week as:

$1,000 + (6 days × $200/day) = $1,000 + $1,200 = $2,200

After two weeks (14 days):

$1,000 + (13 days × $200/day) = $1,000 + $2,600 = $3,600

For Purse B, since the amount doubles each day, we use the power of 2 to represent the growth:

After one week (7 days):

1 penny ×  [tex]2^6[/tex] = 64 pennies (because we don't count the first day)

After two weeks (14 days):

1 penny ×  [tex]2^13[/tex]= 8,192 pennies, or $81.92

After three weeks (21 days) for Purse A we get:

$1,000 + (20 days × $200/day) = $1,000 + $4,000 = $5,000

And for Purse B:

1 penny × [tex]2^{20}[/tex] = 1,048,576 pennies, or $10,485.76

Now, let's see which purse contains more money after 30 days:

Purse A: $1,000 + (29 days × $200/day) = $1,000 + $5,800 = $6,800

Purse B: [tex]1 penny \times 2^{29} = 536,870,912 \ pennies \, \ or\ \$\ 5,368,709.12[/tex]

After 30 days, Purse B contains significantly more money due to the power of compound interest.

5914 1404 393

Answer:

  C.  Incenter

Step-by-step explanation:

The point of intersection of angle bisectors is the incenter. It is the center of an inscribed circle.

__

Other centers are ...

  circumcenter - intersection of side perpendicular bisectors. The center of a circumscribed circle.

  centroid - the intersection of medians

  orthocenter - the intersection of altitudes

f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.

The function f(x) = (x-10)^3 represents the volume difference between a larger cube and a smaller cube.

When we calculate f(19), it means we are finding the volume difference when the volume of the larger cube is 19 cm^3. Similarly, when we calculate f(14), it represents the volume difference when the volume of the larger cube is 14 cm^3.

So, f(19) represents the volume difference when the larger cube has a volume of 19 cm^3, and f(14) represents the volume difference when the larger cube has a volume of 14 cm^3.

If we calculate the values:

- f(19) = (19-10)^3 = 9^3 = 729 cm^3

- f(14) = (14-10)^3 = 4^3 = 64 cm^3

Therefore, f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.

Answer:

C =29.998°

Step-by-step explanation:

To find the measure of angle C if tan C = 0.5773, we will follow the steps below;

tan C = 0.5773

take the tan⁻¹ of both-side of the equation

that is;

 tan⁻¹ tan C =  tan⁻¹0.5773

On the left-hand side of the equation tan and  tan⁻¹ will cancel-out leaving us with just c

C =  tan⁻¹0.5773

C =29.998°

C≈30°

To find measure of angle BAC in a right triangle, we can use the trigonometric functions cos⁻¹(6.9/12), sin⁻¹(6.9/12), and tan⁻¹(6.9/9.8), corresponding to the sides AC and CB with respect to the hypotenuse AB.

To find the measure of angle BAC in triangle ABC where angle ACB is a right angle, we can use the trigonometric ratios involving the sides of the triangle. Given that AB is the hypotenuse, CB is the adjacent side to angle BAC, and AC is the opposite side to angle BAC, we can use the following expressions:

Using any of these trigonometric functions, we can calculate the measure of angle BAC by inputting the ratios into a calculator that has the capability to compute the inverse trigonometric functions.

Answer:

D Is the answer on edge

Step-by-step explanation:

hope this helps!

The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomials are given below.

√(5x) and √(8²) - 2√(x)

The product of the polynomials √(5x) and √(x²) - 2√(x) will be given as,

⇒ [√(5x)] [√(8²) - 2√(x)]

⇒ √(5x)√(8²) - 2√(x)√(5x)]

⇒ 8√(5x) - 2x√5

The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.

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Answer:

8(x+3)

Step-by-step explanation:

The Reason being it is the total of x and 3 times 8.

For it to be 8x+3 you would write it eight times x plus three or eight x plus three

Option A - 8 (x + 3) correctly represents the verbal phrase.

We have the following statement -

8 times the total of x and 3

We have to select the choice that translates the above verbal phrase correctly to algebra.

The mathematical statement for the above phrase is - n x (a + b)

In the question given to us we have - 8 times the total of x and 3

The mathematical statement for the above phrase will be -

8 (x + 3)

Hence, Option A correctly represents the verbal phrase.

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Answer:

up to $338.18

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.

Here, A = $300(1 + 0.04/12)^(12*3), or

          A = $300(1.0033333)^*36, or

          A = $300(1.127) = $338.18

Nina will be able to spend up to $338.18 on a new bike.

Answer:

48 cups of orange juice,  24 containers.

Step-by-step explanation:

Given:

Jackie used 5 times as much water as concentrate to make orange juice.

There were 32 more cups of water than concentrate.

Question asked:

How much juice did she make in all ?

She poured the juice in 2 quart containers how many containers could she fill ?

Solution:

Let concentrate used in the juice = [tex]x[/tex]

As Jackie used 5 times as much water as concentrate:

Then water  used in the juice = [tex]5x[/tex]

According to question:

To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice, Jackie used 5 times as much water as concentrate, we will write this as:-

[tex]x+5x=x+x+32\\6x=2x+32\\[/tex]

Subtracting both sides by [tex]2x[/tex]

[tex]4x=32\\[/tex]

Dividing both sides by 4

[tex]x=8[/tex]

Concentrate used in the juice = [tex]x[/tex] = 8 cups

Water  used in the juice = [tex]5x[/tex] = [tex]5\times8=40\ cups[/tex]

Total quantity of juice =8 + 40 = 48 cups

Thus, she made 48 cups of orange juice for her basketball team.

Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart

Number of 2 quart containers = 48 cups [tex]\div[/tex] 2 = 24 containers

Thus, she can fill 24 containers.

10^3 x 10^9 = 10^12

Step-by-step explanation:

Given that,

10^3 x 10^9

The bases of the 2 terms are same (10) and the power of the terms are 3 and 9

As the base of the 2 terms are same and the bases are in multiplication form we can add up the powers.

So,

10^3 x 10^9 = 10^(3+9)

= 10^12

Answer:

Circle Area = PI * radius^2

Area = PI * 8.5^2

Area = 226.98

Area = 227 square meters

Step-by-step explanation:

Answer:

x ≤ 42 dollars

Step-by-step explanation:

Deon will buy at most 7 pounds, and we know that it costs 6 per pound, so we multiply 7 and 6 to get 42. Deon will not buy over 7 pounds, so that means less than or equal to.