A train travel's at the average speed of 100 kilometers per hour. What would be the train travel's for one and half hour, what distance does it cover?​

Eric borrowed $3300 from the first loan and $3000 - $3300 = $-300 from the second loan (which is not possible). This means that the solution is not valid and Eric may have made a mistake in calculating the interest.

Interest is a fee charged by a lender to a borrower for the use of money. It represents the cost of borrowing money and is typically expressed as a percentage of the loan amount. Interest is paid over a period of time and is calculated based on the principal amount of the loan, the interest rate, and the length of the loan term.

There are two main types of interest: simple interest and compound interest. Simple interest is calculated only on the principal amount of the loan, while compound interest is calculated on both the principal and the accumulated interest over time. Compound interest results in a faster growth of the loan balance compared to simple interest.

Let's call the amount Eric borrowed from the first loan "A" and the amount he borrowed from the second loan "B". We can set up two equations to represent the simple interest he owed on each loan after 2 years:

A * 0.03 * 2 = interest owed on loan 1

B * 0.025 * 2 = interest owed on loan 2

The total interest owed on both loans after 2 years is $165:

A * 0.03 * 2 + B * 0.025 * 2 = 165

We also know that Eric borrowed a total of $3000:

A + B = 3000

We can substitute the second equation into the first to get an equation in terms of one variable:

A * 0.03 * 2 + (3000 - A) * 0.025 * 2 = 165

Expanding and simplifying the right side:

A * 0.03 * 2 + 3000 * 0.025 * 2 - A * 0.025 * 2 = 165

A * 0.03 * 2 - A * 0.025 * 2 = 165 - 3000 * 0.025 * 2

A * (0.03 - 0.025) = 165 - 3000 * 0.025 * 2

A * 0.005 = 165 - 3000 * 0.025 * 2

A = 165 / 0.005 + 3000 * 0.025 * 2 / 0.005

Solving for A:

A = 3300

So, Eric borrowed $3300 from the first loan and $3000 - $3300 = $-300 from the second loan (which is not possible). This means that the solution is not valid and Eric may have made a mistake in calculating the interest or the amounts borrowed.

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The length of AC is equivalent to 10.5 units.

Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically -

K = a/b

Rewriting, we get -

a = Kb

If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]

Given are the two similar triangles as ΔABC and ΔDEF.

We can write the proportionality between the sides as -

{AB/DE} = {BC/EF} = {AC/DF} = {K} (constant)

{AB/DE} = {AC/DF}

6/4 = x/7

x = (6 x 7)/4

x = 42/4

x = 21/2

x = 10.5

Therefore, the length of AC is equivalent to 10.5 units.

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The fourth multiple of 6 is 24, and the third multiple of 8 is 24, the sum gives:

24 + 24 = 48

To take the multiples of a number A, we just need to multiply it by whole numbers, for example let's start with 6, the multiples are:

6*1 = 6

6*2 = 12

6*3 = 18

6*4 = 24

The fourth multiple of 6 is 24.

And with 8 the multiples are:

8*1 = 8

8*2 = 16

8*3 = 24

The third multiple of 8 is 24, then the sum of these two gives:

24 + 24  = 48

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The length of the ladder from the ground to roof is 27.173 feet.

Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the angle a ladder makes with the ground should be no greater than 67°,

so the angle, Ф ≤ 67°

let us assume the angle to be equal to 67°

height of the roof from the ground is 25 feet,

ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular,

with the sine function, we can find the length of the ladder,

sinФ = perpendicular/hypotenuse

let the length of ladder be x

sin67 = 25/x

x = 25/sin67

x = 25/0.920

x = 27.173 feet

Hence the length of the ladder is 27.173 feet

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Answer:

#1 hot dogs and 38 seventh graders, pizza and 32

Step-by-step explanation:

look at the chart

Answer:

£26750

Step-by-step explanation:

x = salary before the increase

x  + x(1.052) = 28141

1.052x = 28141

x = 28141/1.052 = 26750

This means he got a £1391 raise

Answer:

Step-by-step explanation:

The angles are supplementary, so they add to 180.

x + (6x -2 ) = 180

7x = 182

x = 182/7 = 26 = m∠2

6(26) - 2 = 154 = m∠1

The length and width of the rectangle are 50 metres and 10 metres respectively.

A rectangle is a quadrilateral with opposite sides parallel to each other and opposite side equal to each other.

The length of a rectangle is five times its width.

Therefore,

l = 5w

The perimeter of the rectangle is 120metres.

Hence,

perimeter of the rectangle = 2(l + w)

where

Therefore,

120 = 2(5w + w)

120 = 2(6w)

120 = 12w

divide both sides by 12

w = 120 / 12

w = 10 metres

l = 5(10)

l = 50 metres

Therefore,

width = 10 metres

length = 50 metres

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After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).

m(call time) + b = credit

The function produces a line with a slope of -0.14 when graphed.

After 43 minutes of calls, the card's balance is $26.02 left.

After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04

credit?

C(32) = -0.14(32) + 32.04\sC(32) = $27.56

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

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Answer:

3.

12a + 21(12) = 21a

252 = 21a - 12a

252 = 9a

a = 252/9

a = 28 mins

Sam takes 28 minutes

Step-by-step explanation:

im not sure about 4

Answer:

b yes c yes

Step-by-step explanation:

9.72 × 10^4 = 97200

1.04 x 10^5 = 104000

The required solution to the given equation is a = 2.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

abc - 3ac - 4ab + 12a - 2bc + 6c + 8b - 24 = 0

Subtract 2bc + 6c + 8b from both sides,

abc - 3ac - 4ab + 12a - 2bc + 6c + 8b - 24 - (2bc + 6c + 8b) = - (2bc + 6c + 8b)

Rearrange the likewise terms and apply the arithmetics operation,

abc - 3ac - 4ab + 12a - 24 = -8b + 2bc - 6c

abc - 3ac-4ab+12a=-8b+2bc-6c+24

[tex]a\left(-3+b\right)\left(c-4\right)=-8b+2bc-6c+24[/tex]

[tex]\dfrac{a\left(-3+b\right)\left(c-4\right)}{\left(-3+b\right)\left(c-4\right)}=-\dfrac{8b}{\left(-3+b\right)\left(c-4\right)}+\dfrac{2bc}{\left(-3+b\right)\left(c-4\right)}-\dfrac{6c}{\left(-3+b\right)\left(c-4\right)}+\dfrac{24}{\left(-3+b\right)\left(c-4\right)};\quad \:b\ne \:3[/tex]

After solving, we get as:

a = 2

Thus, the required solution is a = 2.

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it is between D.) 8400 and 8500.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

8.42×10³

=8420

Hence, it is between D.) 8400 and 8500.

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Answer:106,34,40

Step-by-step explanation:

Answer:

Step-by-step explanation:

easy all you neec to do is add all the sides and you got it f u

Since we are aware that the back wheel's radius is 9 inches, we can enter this information into the formula C=2[tex]\pi[/tex]r. C=2(9), which is 56.52 when simplified, is the new formula.

By dividing the circle's diameter by, you may determine a circle's circumference (pi). By dividing 2radius by pi, or 3.14, you may also determine the circumference.Using the equations C=2[tex]\pi[/tex]r or C=[tex]\pi[/tex]d, one can determine a circle's circumference. The formula C=2[tex]\pi[/tex]r can be applied as we know the back wheel's radius to be 9 inches.

C=2(9) is the new formula, which is reduced to 56.52. C=[tex]\pi[/tex]d or C=2[tex]\pi[/tex]r are two formulas that can be used to get the circumference of a circle. We can enter these numbers into the formula C=[tex]\pi[/tex]d because we are aware that the circle's diameter is 8 cm, and a rough value for pi is 3.14. C=(3.14)(8), a more straightforward version of the formula, yields 25.12.

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On solving the provided question, we can say that in the given graph the function will be so, g(x) = -1/2 |x|

Mathematicians use graphs logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

in the given graph

we have two lines that are straight from the origin, so the function must be in modulus

so, g(x) = -1/2 |x|

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She misses 5 throws.

This problem can be solved by percentage:

25% of 20 throws

= 25/100 × 20

= 1/4 × 20

= 5

Thus, Emily misses 5 throws.

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Answer:

1/10 x .9 = .09

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Both lines have slope -1/3.

The lines are parallel and never intersect.

There is no single point that is on both lines.

Therefore, there is no solution.

Answer: No solution

The y-coordinate of the y-intercept of the polynomial is 0

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

The polynomial function is given as;

f(x) = x(5x + 6)

At the y-intercept, the value of x is;

x = 0

Substitute x = 0 in f(x) = x(5x + 6)

f(0) = 0(5 * 0 + 6)

Evaluate;

f(0) = 0

Therefore, the answer of the  polynomial function will be 0

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Given:

To prove CD ≅ BF, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, there is another pair of vertical angles and congruent sides as part of bisected segment.

     Statement                                       Reason                

Given:

To prove ∠S ≅ ∠A, we'll first prove the triangles are congruent by SSS as we have one congruent side pair, one more side is common to both triangles, another side pair is congruent as part of bisected segment.

     Statement                                       Reason                

Answer:

Slope=3/2

(1,-3);(3,0)

Slope = rise/run

0-3 = 3

3-1 = 2

Step-by-step explanation:

You would know that the dilation is going to produce a similar figure because the image and the pre image are going to have congruent and corresponding sides.

Due to the congruent matching angles between the image and pre-image, dilations result in identical figures. Based on the scale factor, the corresponding side lengths of the figures will be proportionate. The scale factor causes the sides to be either extended or contracted while maintaining the form.

Each preimage point has a line leading to its corresponding image point that is congruent. Dilations are a particular kind of transformation that are not isometries.

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The figures below are similar figure A  the sides  are 20 and 17.5 so it is   scale factor.

Figures A and B are scaled at a ratio of 1:x.

Scale factor is defined as the difference between the dimensions of the new and old forms, according to the basic equation for calculating scale factors in figures.

A scale factor is the ratio between the scale of an original item and a new object that is a representation of it but is of a different size.

The distance between the two points in Figure A and Figure B is divided by the distance between the two points in Figure A to determine the scale factor.

14 / 16 = 20 /x = 17.5

x = 17.5

The figures below are similar figure A  the sides  are 20 and 17.5 so it is   scale factor.

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The probability that she catches 2 gold neon tetras is 10/500 or 2%.

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Answer:

1

Step-by-step explanation:

(-10)+13-2

-10+13-2

3-2

1