2.25x=27
Addition Property
Substraction Property

Answer:

one pen costs 0.5 euros

one rubber costs 0.75 euros

Step-by-step explanation:

4p+5r=5.75

p+4r=3.5

  -4r.   -4r

p=3.5-4r

4(3.5-4r)+5r=5.75

14-16r+5r=5.75

14-11r=5.75

-14.     -14

-11r=-8.25

r=0.75

One rubber cost 0.75 euros

Now to find cost of one pen we just fill in what we know

p+4(0.75)=3.5

p+3=3.5

 -3.  -3

p=0.5

1 pen cost 0.5 euros

Hopes this helps please mark brainliest

Answer:

$0.50

Step-by-step explanation:

We know

A package of 8 hot dogs is on sale for $4

What is the price per hot dog?

4 / 8 = $0.50

So, the price per hot dog is $0.50

Answer:

Step-by-step explanation:

1) x²  -x - 20 > 0

x² - 5x + 4x - 20 > 0

x( x - 5) + 4(x - 5) > 0

(x - 5)(x + 4) > 0

x - 5 > 0    ; x + 4> 0

x > 5         ; x  < -4

3)  x² + 9x + 14 > 0

x² + 7x + 2x + 14 > 0

x(x + 7) + 2(x + 7)  > 0

(x + 7) (x + 2) > 0

x < - 7  and x > -2

4) r² - 10r + 16 > 0

r² - 8r  -2r + 16 > 0

r(r - 8) - 2(r - 8) > 0

(r - 8)(r - 2) > 0

r < 2  ; r > 8

Answer:

1,200

Step-by-step explanation:

Multiply the Height, Length, Width, and Base:

4 x 5 x 10 x 6

Answer:

3<2*x=5

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!

( btw the astric means multiplication )

The unknown number will be equal to 4.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that three is less than the product of 2 and a number is equal to 5. The unknown number will be calculated as:-

2x - 3 = 5

2x = 5 + 3

2x = 8

x = 8 / 2 = 4

Therefore, the unknown number will be equal to 4.

The complete question is given below:-

Three less than the product of 2 and a number is equal to 5. Calculate the unknown number.

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If the CPI was 305 in 1995, the price of jeans that cost $14.99 in 1973 would be approximately $47.05 in 1995 after adjusting for inflation.

To find the price of jeans in 1995, we first need to adjust the 1973 price for inflation using the Consumer Price Index (CPI). CPI measures the average change in prices of goods and services over time, so it can help us compare prices from different years.

First, we need to calculate the inflation rate between 1973 and 1995. We can do this by dividing the CPI in 1995 (305) by the CPI in 1973 (135):

Inflation rate = (305 / 135) * 100% = 226.67%

This means that prices in 1995 were about 2.27 times higher than in 1973. Now, we can apply this inflation rate to the price of jeans in 1973:

Price in 1995 = Price in 1973 * (1 + inflation rate)

Price in 1995 = $14.99 * (1 + 2.2667) = $47.05

Therefore, if the CPI was 305 in 1995, the price of jeans that cost $14.99 in 1973 would be approximately $47.05 in 1995 after adjusting for inflation. This calculation helps to compare the cost of goods across different time periods by taking inflation into account, thus giving a better understanding of the changes in purchasing power over time.

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Answer:

the answer is D.........

Step-by-step explanation:

I dont really have a reason that just seem like the best answer..... I hope it's right

Answer:

$26.42

Step-by-step explanation:

P = 30 * 0.82 * 1.074 = 26.42

Answer:

dat it

116cm times 7=812

128cm times 8=1024

1024-812=212cm

When the required rate of return is 12% compounded quarterly, the bond's value is $1391.39. Therefore, the correct option is a) $1391,39.

To calculate the value of a bond, we need to use the following formula;PV = PMT x (1 – 1 / (1 + r)n) / r + FV / (1 + r)n,

WherePV = Present Value, PMT = Periodic Interest Payment,r = Required Rate of Return (in this case, 12% / 4 quarters per year = 3% per quarter),

n = Number of Interest Payments FV = Face ValueThe face value is given to us at $1000.

As the bond matures in 10 years, we can calculate the total number of interest payments as;n = 10 x 4 = 40 quarters.

Now, we can put the values we know into the formula and find the value of the bond. PV = $35 x (1 – 1 / (1 + 3%)40) / 3% + $1000 / (1 + 3%)40PV = $1391.39Therefore, the answer is a) $1391,39.

Bonds are long-term debt instruments issued by the companies to raise capital for their growth and operations.

The bondholders are paid interest at regular intervals, and the principal amount is repaid to them on maturity. The price of a bond is the present value of all future cash flows discounted at the required rate of return.

The required rate of return is the minimum rate that investors expect from a particular investment to compensate for the risk associated with it.

The bond's price varies inversely with the interest rate; that is, when the interest rate goes up, the bond's price goes down and vice versa. When the required rate of return is equal to the bond's coupon rate, the bond is said to be trading at par.

When the required rate of return is more than the coupon rate, the bond trades at a discount, and when the required rate of return is less than the coupon rate, the bond trades at a premium.

The value of a bond with a high coupon rate is less sensitive to the interest rate changes than the bond with a low coupon rate.

To calculate the value of a bond, we need to use the formula;PV = PMT x (1 – 1 / (1 + r)n) / r + FV / (1 + r)n. When the face value of the bond is given, we need to find the present value of the interest payments and the face value discounted at the required rate of return. When the required rate of return is 12% compounded quarterly, the bond's value is $1391.39. Therefore, the correct option is a) $1391,39.

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Answer:

82.5°

Step-by-step explanation:

This is the case of a isosceles triangle , as you may know in a isosceles triangle , there are two sides of equal length as well as two equal angles.

You know that the sum of angles in a triangle is 180°, therefore it comes to this equation :

15° + 2x = 180°

2x = 165°

x = 82.5°

therefore 82.5° is the correct answer.

Answer:

x = 100

Step-by-step explanation:

180 = 46 + 34 + x

180 = 80 + x

100 = x

Answer:

1 / x^12

Hope this helped!!!

Answer: c)

Answer:

1 / x^12

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

To answer this, we have to do the equation below:

\(1,380/80\)

When we do this, we come up with the answer of 17.25

Now we know that we get paid $17.25 an hour.

Now, we must do the equation below:

\(100 X 17.25\)

When we multiply, we get the answer of 1,725

So, we get paid $1,725 if we work for 100 hours.

Step-by-step explanation:

Hope this helps!

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.

The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.

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The series f(x), f′(x), f′(x), and ∫f(x) dx all converge for the entire real number line, -∞ < x < ∞, including the endpoints.

The intervals of convergence are as follows: (a) f(x) converges for -∞ < x < ∞.

(b) f′(x) converges for -∞ < x < ∞.

(c) f′(x) converges for -∞ < x < ∞.

(d) ∫f(x) dx converges for -∞ < x < ∞.

The given series f(x) can be written as the sum of the terms (-x^3)^n. We need to find the intervals of x for which this series converges.

For any value of x, when (-x^3)^n is raised to a positive power n, it becomes positive. Therefore, the series will converge for any x value.

Hence, the intervals of convergence for f(x), f′(x), f′(x), and ∫f(x) dx are -∞ < x < ∞. To check for convergence at the endpoints of the interval, we need to evaluate the series for x = ±∞.

For both cases, the terms (-x^3)^n will approach zero as n approaches infinity. Therefore, the series will converge at the endpoints as well.

In summary, the series f(x), f′(x), f′(x), and ∫f(x) dx all converge for the entire real number line, -∞ < x < ∞, including the endpoints.

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Answer:

45 miles

Step-by-step explanation:

1/60 of one hour (60 minutes) equates to 1 minute

Karen is driving 3/4 of a mile in 1 minute to multiply 3/4 and 60 to get 45 miles

Answer:

itz number A

Step-by-step explanation:

Answer:

y= -4x +3

Step-by-step explanation:

① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.

x -4y= 20

4y= x -20

y= ¼x -5 (÷4 on both sides)

∴ Gradient of line= ¼

② Find the gradient of the new line.

The product of the gradients of perpendicular lines is -1.

¼(gradient of line)= -1

gradient of line

= -1 ÷¼

= -1 ×4

= -4

③ Substitute the value of the gradient into the equation.

y= -4x +c

④ Find the value of c by substituting a pair of coordinates.

When x= 2, y= -5,

-5= -4(2) +c

-5= -8 +c

c= -5 +8 (+8 on both sides)

c= 3

Thus, the equation of the line is y= -4x +3.

The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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Definition

Theoretical Probability is the ratio of the number of favorable outcomes to the total possible outcomes of an event.

Expressing probability as a formula:

Information about a standard deck of cards:

A standard deck of cards has four suits: hearts, clubs, spades, diamonds. Each suit has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. Thus the entire deck has 52 cards total.

(a) Picture card (J, Q, and K)

In a standard deck, there are 4 Jacks, Queens, and Kings. Hence, the probability of J, Q, and K are:

Probability as a fraction:

In decimal:

Percent:

(b) 9 or 10

There are 4 cards labeled 9 and 10 each.

Probability as a fraction:

In decimal:

In percent:

(c) 2 of heart

In a standard deck of cards, there are only one 2 of hearts.

Probability as a fraction:

In decimal:

In percent:

The value of n is found as the 6 for the given exponent equation.

For the stated equation.

36 Superscript 12 minus n Baseline = 6 Superscript 2 n

This can be written as;

36¹²⁻ⁿ = 6²ⁿ

Using the adding exponent rule.

36¹².36⁻ⁿ = 6²ⁿ

Simplifying.

(6)²ˣ¹².(6)⁻ⁿˣ² = 6²ⁿ

(6)²⁴.(6)⁻²ⁿ = 6²ⁿ

Thus,

As, the base of number is equal , equating the powers.

24 - 2n = 2n

4n = 24

n = 6

Thus, the value of n is found as the 6 for the given exponent equation.

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The correct question is-

If 36 Superscript 12 minus n Baseline = 6 Superscript 2 n, what is the value of n?

Answer:B

Step-by-step explanation:

edge 2023

Answer:

x = y² - 7

Step-by-step explanation:

the inverse function is simply an exchange of x and y (and then the simplification happens to transform the whole expression back into a form y = ....)

not to scale

the answer should be

\(14x + 2\)

The perimeter of triangle is \((14x+2)\) unit.

The perimeter of triangle is sum of length of all three sides of triangle.

From figure, sides of triangle are,

                \(3x+2,5x,6x\)

Now, find perimeter of given triangle,

                \(Perimeter=3x+2+5x+6x\\\\Perimeter=8x+6x+2\\\\Perimeter=14x+2\)

Thus, the perimeter of triangle is \((14x+2)\) unit.

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Answer:

163°

...............

Answer:

163

Step-by-step explanation:

Answer:

h = 6.

Step-by-step explanation:

The 2 triangles are similar

So h / 9 = 4 / h

h^2 = 4*9 = 36

h = 6.

Answer:

x=-11

Step-by-step explanation:

Steps are in the attachment, but I couldn't include the last step.

The last step is to divide by -2 on both sides.

The final answer then will be x=-11

Hello !

Answer:

\(\large \boxed{\sf Option\ C\to x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(4)(-9)}}{2(4)} }\)

Step-by-step explanation:

We want to find the value of x that satifies the following equation :

\(\sf4x^2-5=3x+4\)

Let's substract 3x+4 from both sides :

\(\sf 4x^2-5-(3x+4)=3x+4-(3x+4)\\4x^2-5-3x-4=0\\\\4x^2-3x-9=0\)

This equation is a quadratic equation in the form ax²+bx+c=0

The solution of this equation is given by the quadratic formula :

\(\sf \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

In our equation, we have :

Let's substitute a, b and c with their values in the quadratic formula :

\(\boxed{\sf x=\dfrac{(-3)\pm\sqrt{(-3)^2-4(4)(-9)}}{2(4)} }\)

Have a nice day ;)