In the addition problem below, A, B, C, and D each stand for a different one-digit number. None of the letters represents zero


If C is 5 and A is 7, then find B?

Answer:

$60

Step-by-step explanation:

H = $4 charm, $40 bracelet

Y = $10 charm, $10 bracelet

H -

$4 x 5 charms = $20

plus bracelet

$20 + $40 = $60

Y -

$10 x 5 charms = $50

plus bracelet

$50 + $10 = $50

Answer:
Lines are
Cost = 10x + 10

Cost = 4x + 40

Solution is (5, 60) when both costs are the same

Step-by-step explanation:

Let x be the number of charms on the bracelet

We will represent the cost of the bracelet with charms for purchasing from Yardley as $Y
Since it costs a fixed amount of $10 for the bracelet and $10 per charm
Y = 10x + 10

Let us represent the cost of the bracelet with charms for purchasing from Hardin as $H
Since it costs a fixed amount of $40 for the bracelet and $4per charm
H= 4x + 40

Therefore the two equations for this situation are

Y = 10x + 10     [1]

H = 4x + 40     [2]

To graph this , take two values for x in each equation, find the corresponding cost  . That will give you two points;. Draw a line through these two points for each equation

For Y = 10x + 10  
Choose x = 0 to get Y = 10. Y= 10(0) + 10 = 10
Thus point(0, 10) is one point

Choose another value for x, say x = 3: Y = 10(3) + 10 = 30 + 10 = 40
The other point is (3, 40)

Draw a straight line through these two points

For H = 4x + 40:

x = 0 ==> 4(0) + 40 ==> (0, 40) as one point
x = 10 ==> 4(10) + 40= 80 ==>  (4, 80) is another point

Draw a straight line thru these two points

The point of intersection of these two lines from the graph is (5, 60)

This represents the number of charms from both places where the cost is the same

We can solve this mathematically as follows
Set [1] = [2]

10x + 10 = 4x + 40
10x - 4x = 40 - 10

6x = 30

x = 5

Substituting x = 5 in any of the equations will give the cost
Y(5) = 10(5) + 10 = 60

H(5) = 4(5) + 40 = 60

Answer:

are u asking what is 70 divided by 200? cause its 0.35

Step-by-step explanation:

A triangle with three set of sides that are Pythagorean Triple will make a right triangle, while a triangle with three sides that satisfy the Triangle Inequality Theorem will make a triangle. therefore:

Recall:

Therefore, let's check and see if 8, 12,4 or 8, 15, 17 will make a triangle, and also if the triangle is a right triangle.

Check if 8, 15, 17 will make a triangle by applying the Triangle Inequality Theorem:

8 + 15 > 17

23 > 17 (true)

17 + 15 > 8

32 > 8 (true)

17 + 8 > 15

25 > 15 (true)

Determine if the triangle whose sides are 8, 15, 17 is a right triangle:

Where,

a = 8

b = 15

c = 17,

Substitute the values into  \(a^2 + b^2 = c^2\) .

Thus:

\(8^2 + 15^2 = 17^2\\\\64 + 225 = 289\\\\289 = 289\) (true)

Check if 8, 12,4 will make a triangle by applying the Triangle Inequality Theorem:

8 + 12 > 4

20 > 4 (true)

8 + 4 > 12

12 > 12 (False)

12 + 4 > 12

16 > 12 (true)

Determine if the triangle whose sides are 8, 15, 17 is a right triangle:

Where,

a = 4

b = 8

c = 12

Substitute the values into  \(a^2 + b^2 = c^2\) .

Thus:

\(4^2 + 8^2 = 12^2\\\\16 + 64 = 144\\\\80 = 144\) (False)

In summary, a

triangle with three set of sides that are Pythagorean Triple will make a right triangle, while a triangle with three sides that satisfy the Triangle Inequality Theorem will make a triangle. therefore:

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Answer:

\(\textsf{a)} \quad P=-20(x-2)^2+3380\)

b)  cost of ticket = $13

    max profit = $3380

    number of tickets sold = 260

Step-by-step explanation:

Profit equation:   \(P=20(15-x)(11+x)\)

Vertex form of quadratic equation:  \(y=a(x-h)^2+k\)

(where (h, k) is the vertex and \(a\) is some constant)

First, write the given profit equation in standard form \(ax^2+bx+c\):

\(\begin{aligned}\implies P&=20(15-x)(11+x)\\& = 20(165+4x-x^2)\\& = -20x^2+80x+3300\end{aligned}\)

Factor -20 from the first two terms:

\(\implies P=-20(x^2-4x)+3300\)

Complete the square:

\(\implies P=-20(x^2-4x+4)+80+3300\)

\(\implies P=-20(x-2)^2+3380\)

The vertex of the profit equation is (2, 3380).

Therefore, the cost of the ticket is when x = 2 ⇒ $11 + 2 = $13

The maximum profit is the y-value of the vertex:  $3380

The number of tickets sold at this price is:

⇒ max profit ÷ ticket price

= 3380 ÷ 13

= 260

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

Irrational Number is the answer

Answer:

\( \sqrt{11 + 10} = \sqrt{22} = 4.69041576 \)

THIS IS IRRATIONAL

Step-by-step explanation:

The correct answer is irrational and the reason for that is the decimals for sqrt of 22 are non-recurring, are non-terminating and lastly it cannot be expressed in a form of a fraction.

I hope this makes sense

:)

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

Let's denote the original scholarship amount as "P."

According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.

Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).

Now, we can sum up all the shares to equal the original scholarship amount:

Ron's share + Nick's share + Mary's share + Margaret's share = P

(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P

To simplify the equation, we can combine like terms:

(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P

Combining the fractions and constants:

(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P

16P/12 - $48,000 = P

Multiplying both sides of the equation by 12 to eliminate the denominator:

16P - $576,000 = 12P

Subtracting 12P from both sides of the equation:

4P = $576,000

Dividing both sides of the equation by 4:

P = $144,000

Therefore, the original scholarship amount is $144,000.

Ron's share: (1/3)($144,000 - $72,000) = $24,000

Nick's share: (1/4)($144,000 - $72,000) = $18,000

Mary's share: (1/4)($144,000 - $72,000) = $18,000

Margaret's share: $72,000

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

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Answer:

C

Step-by-step explanation:

it is not my percentage, it is not constant, it is increasing over time

Answer:

yes there is a remainder

answer is 70 remainder 20

Answer:

70.77

Step-by-step explanation:

1840 ÷ 26 = 70.77 (aprox)

The model predicts the population to be 671,520 in 14 years

An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.

Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.

Population, P(t) = 480,000\(e^{-0.024t}\),

when t = 14

substitute t = 14 into the equation,

Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520

In conclusion, the Population of the model after 14 years is 671,520

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Answer:

Write two expressions (with at least two terms each) that when added together have a sum of -4 n + 6.

100 POINTS AND BRAINLIEST

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

Step-by-step explanation:

Answer:

I am not sure but sold of the say 2,334

Answer:

58 child tickets

Step-by-step explanation:

5.7(x)+9.8(149-x)=1222.40

5.7x+1460.2-9.8x=1222.40

1460.2-4.1x=1222.40

-4.1x=-237.8

x=58

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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The following two terms of an arithmetic progression are -6 and -11.

What is an arithmetic sequence?

An arithmetic sequence is defined as a progression of numbers such that the difference between successive terms is consistent. It is also called Arithmetic Progression. The formula for tthe last term of an AP is given as: an = a + (n-1)d, here, a is the first term, n is the number of terms and d is the difference between two successive terms.

Finding the two terms of an arithmetic sequence

The first three terms of an arithmetic sequence are given by:

a1 = 9

a2 = 4

a3 = -1

Now, we want to calculate a4 and a5

Using the formula for calculating the next term of an arithmetic progression, we get,

a4 = a + (n-1)d, where n = 4 and d = 5

a4 = 9 + (4-1)(-5)

a4 = 9 - 15

a4 = -6

Further, a5 = a + (n-1)d, where n = 5 and d = 5

a5 = 9 + (5-1)(-5)

a5 = 9 - 20

a5 = -11

Hence, the next two terms of an AP are -6 and -11.

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Answer:

The correct answer is A.

Step-by-step explanation:

The correct answer is A.

To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.

Answer:

20 because 40 is a positive and spent is negative

Step-by-step explanation:

Answer:

To make 10 liters of 20% alcohol solution, RSM would need to use a combination of the 18% and 40% alcohol solutions. Let's call the amount of 18% solution used "x" and the amount of 40% solution used "y".

To set up the equation, we'll use the fact that the amount of pure alcohol in the final solution must be equal to 20% of the total volume.

So:

0.18x + 0.40y = 0.20(10)

Simplifying:

0.18x + 0.40y = 2

We have one equation with two unknowns, which means we need another equation. Fortunately, we know that RSM is making a total of 10 liters of solution. So:

x + y = 10

We now have two equations with two unknowns, which we can solve simultaneously. One way to do this is to solve one equation for one variable, then substitute that expression into the other equation, like so:

x = 10 - y (from the second equation)

0.18(10-y) + 0.40y = 2 (substituting into the first equation)

1.8 - 0.18y + 0.40y = 2

0.22y = 0.2

y = 0.91

So RSM would need to use approximately 0.91 liters (or 910 milliliters) of the 40% solution, and the rest (9.09 liters or 9090 milliliters) of the 18% solution, to make 10 liters of 20% alcohol solution.

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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The equations will be solved by putting the values of the variables in the bracket.

1. (b + a) = 4; use a = 1 and b = 3

( 1 + 3) = 4

2) c(b + b); use b = 1 and c = 5

5(1 + 1)

= 5 × 2 = 10

3) 4+ pm; use m = 4 and p =3

= 4 + (4 × 3)

= 4 + 12

= 16

4) 5+ pm; use m = 4 and p = 2

= 5 + (2 × 4)

= 5 + 8

= 13

5) m(p + 2); use m = 5 and p = 2

= 5(2 + 2)

= 5 × 4

= 20

6) h+j²; use h = 1 and j = 4

= 1 + 4²

= 17

7) y-(x - 5); use x = 5 and y = 6

= 6 - (5 - 5)

= 6 - 0

= 6

8) 4xy; use x = 5 and y = 2

= 4 × 5 × 2

= 40

9) n(p + 3); use n = 2 and p = 2

= 2(2 + 3)

= 10

10) y +x+x; use x = 3 and y=5

= 5 + 3 + 3

= 11

11) 6+ a-b; use a = 4 and b = 4

= 6 + 4 - 4

= 6

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The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Answer:

x=14

Step-by-step explanation:

Half circle total degree is 180°

180°=(2x-4)+101°+47°

so, 2x-4=180-101-47

     2x-4=32

     2x=32-4

      2x=28

       x=14

Answer:

m = 1/3x

Step-by-step explanation:

slope = y^2 - y^1 / x^2 - x^1

m = 4 - 5 / 3 - 6

m = -1 / -3

m = 1/3

m = 1/3x --> the slope

Answer:

m=1/3x is the answer. I hope this helped

Answer:

See graph below

Step-by-step explanation:

y = mx + b  The m tells us the slope and the b tells us the y intercept

y = 1/2 x + 5

This tells us that the graph crosses the y axis at (0,5).  The slope t ells us from that point go up 1 and 2 to the right.  Once you have two points, you can draw the line.

X = 31, Y = 63 satisfy the case of 0 ≤ Y < 100 as an expression.

An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.

Assume Kaimi was supposed to be paid X dollars Y cents (0 ≤ Y ≤ 100)

But the teller gave him Y dollars X cents.

Thus kaimi has 100Y + X cents.

A nickel is worth 5 cents.

Hence, after buying the piece of candy for a nickel, Kaimi would be left with 100Y + X - 5 cents.

This is twice his paycheck:

⇒ 100Y + X - 5 = 2(100X + Y)

⇒ 100Y + X - 5 = 200X + 2Y

⇒ 98Y - 199X = 5

199 = 98 × 2 + 3 ⇒ 3 = 199 - 98 × 2

98 = 3 × 32 + 2 ⇒ 2 = 98 - 3 × 32

3 = 2 × 1 + 1 ⇒ 1 = 3 - 2 × 1

2 = 1 × 2 + 0 ⇒ ged(199, 98) = 1

1 = 3 - 2 × 1

= 3 - (98 - 3 × 32) × 1                [∵ 2 = 98 - 3 × 32]

= 3 - 98 × 1 + 3 × 32

= 3 × 33 - 98 × 1

= (199 - 98 × 2) × 33 - 98 × 1    [∵ 3 = 199 - 98 × 2]

= 199 × 33 - 98 × 67

⇒ 1 = 199 × 33 - 98 × 67

⇒ 5(1) = 5 (199 × 33 - 98 × 67)

⇒ 5 = 199(165) - 98(335)         [∵ 5 ×33 = 165, 5 × 67 = 335]

⇒ 199(165) - 98(335) = 5

⇒ 98(-335) - 199(-165) = 5

Hence, (X,Y) = (-165, -335) is a solution to 98Y - 199X = 5

But it is required that 0 ≤ Y < 100

Now since it is the difference of two quantities, 98Y and 199X, that is a constant, 5, either both of these quantities will increase simultaneously or both will decrease simultaneously.

Hence, either both X, Y will increase or both, X, Y will decrease.

To bring Y = -335 in the range of 0 ≤ Y < 100, it needs to be increased.

Hence, both X, Y will increase.

X will increase by the absolute value of the coefficient of Y and vice-versa. Hence, X will increase by 98 and Y will increased by 199 to give

(X, Y) = (-165 + 98, -335 +199) = (-67, -136)

Still, it is not the case that 0 ≤ Y < 100

Hence, again X will increase by 98 and Y will increase by 199 to give

(X, Y) = (-67 +98, -136 +199) = (31, 63)

Now, it is the case that 0 ≤ Y = 63 < 100

∴ X = 31, Y = 63

Note that the increasing X again by 98 and Y by 199 will violate

0 ≤ Y < 100. Hence, this is the unique solution.

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Answer:

60 degrees

Step-by-step explanation:

60+60*2=180

pls give brainliest

Answer:

30° and 60°

Step-by-step explanation:

let angle be x and 2x

x+ 2x=90

3x=90

x=30

Therefore,

2x= 2*30= 60

Answer:

68.27%

Step-by-step explanation:

By the Empirical Rule, as 65% and 75% are both one standard deviation apart from the mean of 70%, then this represents 68.27% of the data.

Answer: Option A.

Step-by-step explanation:

Suppose you have a rectangle in the plane X-Y, such that one of the vertices of the rectangle is on the point (0,0) and the rectangle has sides parallel to both x-axis and y-axis.

Now, you rotate it around the y-axis. The created figure will be a cylinder with a radius and height depending on the measures of the original rectangle.

Now, if you cut it horizontally (this means that you have a cut parallel to the x-z plane) is equivalent to have a view of the cylinder from the top (as if you where on the positive y-axis), and this figure will be a circle, so the correct option is A:

The opening balance is 100.00 A. Its placement on the credit side implies funds deposited before the statement period. The specific impact on Gloria's finances and the value of B are not provided.

Based on the provided information, let's address each question:

3.2.1 The opening balance is 100.00 A (currency is not specified). This amount represents the initial balance in the bank account before any transactions occur.

3.2.2 When the opening balance is on the credit side of the bank statement, it indicates that there were funds deposited or credited to the account before the statement period. In this case, the opening balance of 100.00 A suggests that there were funds deposited or credited into the account before the statement period began.

3.2.3 If Gloria decides to withdraw money at Capital Bank ATM, her account balance will decrease by the amount of the withdrawal. The specific amount of the withdrawal is not mentioned in the provided information, so we cannot determine the exact impact on her finances. However, it's important to note that ATM withdrawals may also incur transaction fees, which could further reduce her account balance.

3.2.4 Based on the information given, the value of B is not explicitly provided. It seems to be missing or not specified in the provided data. Without knowing the value of B, it is not possible to calculate it.

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