Parts of similar triangles

Find x

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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The complete sentence with inequality is,

⇒ 1 - a > 0

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The number line is shown in figure.

By figure, the value of a is in between - 1 and - 2.

Hence, It is negative number.

Thus, We can assume,

⇒ a = - x

Hence, We get;

⇒ 1 - a

⇒ 1 - (- x)

⇒ 1 + x > 0

Thus, The complete sentence with inequality is,

⇒ 1 - a > 0

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Answer: f=756

Step-by-step explanation:

f/28=7

multiply both sides of the equation by 28

28 x f/28=28 x 27

cancel out the greatest common factor 28

f=28 x 27

multiply 28 x 27

f=756

To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.

Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

x = 623

Step-by-step explanation:

-377 = x - 1000

x = 1000 - 377

x = 623

.

.

Hope it helps

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf \: - 377 = x - 1000\)

Swap sides so that all variable terms are on the left-hand side.

\( \sf \: x-1000=-377 \)

Add 1000 to both sides.

\( \sf \: x=-377+1000 \)

Add -377 and 1000 to get 623.

\( \boxed {\boxed{ \tt\: x=623 }}\)

a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

um what?

Step-by-step explanation:

What the heck are all these numbers

Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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Answer: 8 / 12 = x

Step-by-step explanation:

:D Hope its right

Answer:

iddiduududjdhdhdjdhdjr

Answer:

249798.8

Hope this helps! <3

Answer:

The probability that a contestant who plays the game five times wins exactly twice is \(16.08\) %

Step-by-step explanation:

We will use binomial theorem here

\(C_{n,k}p^k(p')^{n-k}\)

Substituting the available values in above equation, we get

\(C_{5,2} * \frac{1}{6}^2*\frac{5}{6}^3\)

\(0.1608\)

OR

The probability that a contestant who plays the game five times wins exactly twice is \(16.08\) %

Answer: A,

Step-by-step explanation: It makes a median of 28 when calculated

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.

(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

The next step is to combine like terms within each parentheses:

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

Finally, we can add the two expressions:

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

= 56x - 3x² - 8x + 2x³ + 3 + 7

= 56x - 3x² - 8x + 2x³ + 10

The final answer is 56x - 3x² - 8x + 2x³ + 10.

Answer:

(-3, 1)

(5,-2)​

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

\(x < - 2\)

Step-by-step explanation:

Hope it is helpful...

The equation of the line parallel to y = (-3/4)x + 1 and passing through (8, 6) is y = (-3/4)x

An equation is an expression showing the relationship between numbers and variables.

The slope intercept form of a straight line is:

y = mx + b

Where m is the slope and b is the y intercept.

Two lines are parallel if they have the same slope.

Given the line y = (-3/4)x + 1, the slope is -3/4. The line parallel to y = (-3/4)x + 1 would have same slope of -3/4.

The parallel line passes through (8, -6), hence:

y - y₁ = m(x - x₁)

y - (-6) = (-3/4)(x - 8)

y + 6 = (-3/4)x + 6

y = (-3/4)x

The equation of the line is y = (-3/4)x

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Answer:

The value is \(n = 188 \)

Step-by-step explanation:

From the question we are told that

    The margin of error is  \(E = 0.06\)

From the question we are told the confidence level is  90% , hence the level of significance is    

      \(\alpha = (100 - 90 ) \%\)

=>   \(\alpha = 0.10\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

  Generally will assume that the sample proportion young adults in Louisville, Kentucky, who received help from their parents in buying a home is  \(\^ p = 0.5\)

Generally the sample size is mathematically represented as  

    \(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) \)

=>  \(n = [\frac{1.645}{0.06 } ]^2 * 0.5 (1 - 0.5 ) \)

=>  \(n = 188 \)

Answer:

11 pieces

Step-by-step explanation:

19 1/4 ÷ 1 3/4

19 x 4 = 76 + 1 = 77

1 x 4 = 4 + 3 = 7

77/4 ÷ 7/4

77/4 ÷ 7/4 = 11/1

11 pieces

(Just copy my work above for Part B)

Answer: The answer would be 20

Step-by-step explanation:

Step-by-step explanation:

the answer is above but there are data that not found

The Pythagorean triples here are; 3, 4, 5. Option 1

We define a Pythagorean triple as a^2+b^2 = c^2 where a, b and c are the three positive integers. Given that we can find the Pythagorean triple from; (x2 - y2)2 + (2xy)2 = (x2 + y2)2

Where; x = 2, y = 1

Substituting values have;

(2^2 - 1^2)^2 + (2*2*1)^2 = (2^2 + 1^2)^2

This results to;

3^2 + 4^2 = 5^2

9 + 16 = 25

25=25

Therefore the Pythagorean triples here are; 3, 4, 5. Option 1

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Answer:

collect like terms

Step-by-step explanation:

collect all the x numbers and the power of 3 numbers to simplify

Answer:

20x-40

Step-by-step explanation:

Answer:

20x-40

Step-by-step explanation:

The first one

=10(2x- 4)

= 20x-40

Answer:

V = 1130.4 cm³

Step-by-step explanation:

Given that V varies jointly with r² and h then the equation relating them is

V = kr²h ← k is the constant of variation

To find k use the condition when r = 3 and h = 5 then V = 141.3 , then

141.3 = k × 3² × 5 = 45k ( divide both sides by 45 )

k = 3.14 ← note approximation for π

V = 3.14r²h ← equation of variation

When r = 6 and h = 10, then

V = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:

Step-by-step explanation:

Here by using the ascending property:

-75, -28, -3, 13, 103, 341, 619