Write an algebraic expression for the verbal phrase. The quotient of 5 times
a number and 3.

The total cost f(x) of the candy is given by the expression -0.7x + 35, where x is the weight of the less expensive candy

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the weight of the less expensive candy and y represent that of the other candy, hence:

x + y = 10

y = 10 - x

Total cost = f(x)

Hence:

f(x) = 2.8x + 3.5(10 - x) = -0.7x + 35

The total cost f(x) of the candy is given by the expression -0.7x + 35, where x is the weight of the less expensive candy

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The constant of variation in 4 y-5 x=0 is (5/4)

y = kx                           (Where k is the constant)

Here,

⇒ 4y - 5x = 0

⇒ 4y = 5x

⇒ y = 5x/4

⇒ y = (5/4) x

So, k = (5/4)

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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A circle is a curve sketched out by a point moving in a plane. The length of the side AD is 30.6 units.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The Diagram for the given details is shown below.

The length of the different sides of the triangle can be written as,

AJ = JC = Radius of circle J = 10 units

BK = KD = Radius of circle K = 8 units

BC = 5.4 units

JB = JC - BC

    = Radius of circle J - BC

    = 10 units - 5.4 units

    = 4.6 units

KC = KB - BC

    = Radius of circle K - BC

    = 8 units - 5.4 units

    = 2.6 units

Now, the length of AD can be written as,

AD = AJ + JB + BC + CK + KD

= 10 units + 4.6 units + 5.4 units + 2.6 units + 8 units

= 30.6 units

Hence, the length of the side AD is 30.6 units.

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Answer:

550$

Step-by-step explanation:

Plug in 5000 as [tex]s[/tex] is our equation: [tex]c=0.11s[/tex] → [tex]c=0.11(5000)[/tex].

Answer:

550

Step-by-step explanation:

The solution of the formula  A = 1/2h(b₁ + b₂) for the indicated variable b₂ is (2A/h) -  b₁.

According to the given question.

We have a formula  A = 1/2h(b₁ + b₂).

Since, we have to solve the given formula A = 1/2h(b₁ + b₂) for the indicated variable b₂.

Therefore, the solution of the formula  A = 1/2h(b₁ + b₂) for the indicated variable b₂ is given by

A = 1/2h(b₁ + b₂)

⇒ 2A = h(b₁ + b₂)   (multiplying both the sides by 2)

⇒ 2A/h = b₁ + b₂    (dividing both the sides by h)

⇒  2A/h -  b₁  = b₂   ( subtracting b₁ from both the sides)

⇒ b₂ = (2A/h) -  b₁

Hence, the solution of the formula  A = 1/2h(b₁ + b₂) for the indicated variable b₂ is (2A/h) -  b₁.

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a) 1.515  is the distance in Angstrom between the two hydrogen atom.

b) 0.01515 mm is the value in millimetres of 1.515

The angstrom is a metric length unit equal to 1010 m; that is, one ten-billionth (US) of a metre, one hundred-millionth of a centimetre, 0.1 nanometre, or 100 picometres. Its symbol is  is a letter from the Swedish alphabet. The unit is named after Swedish physicist Anders Jonas Ångström.

As Both H atom is equidistance from O atom The triangles shown here is isosceles triangle, where two sides are equal

So, H0 = 0H = 0.958 Angstrom

And therefor Both angle of H = 37.75°

Now using the Law of Cosines for SAS triangles

c² = a² + b² - 2ab cos(c)

Here c is the distance of H and H atoms

c² = 0.958² + 0.958² - 2(0.958)(0.958) cos(104.5°)

c² = 1.835528 + 0.45958

c²  =2.295108

c = √2.295108

c = 1.514961

Thus, 1.514961  is the distance in Angstrom between the two hydrogen atom.

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From the calculation below, the number of books bought by Mr. Ankomah was 87 books.

Let x represent present the number of books bought.

Therefore, we have:

Number of books sold = x - 12

Total revenue from units sold = Number of books sold  * Unit selling price = (x - 12) * 7 = 7x - 84

Total cost of units sold = Number of books sold  * Cost price per unit = (x - 12) * 5 = 5x - 60

Profit = Total revenue from units sold - Total cost of units sold ........... (1)

Since he made a profit of Ghc150.00, we substitute all the relevant values into equation (1) and solve for x as follows:

150 = (7x - 84) - (5x - 60)

150 = 7x - 84 - 5x + 60

150 + 84 - 60 = 7x - 5x

174 = 2x

x = 174 / 2

x = 87

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Answer:

11/12

Step-by-step explanation:

The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

According to the given question.

We have a linear equation in one variable.

4y - 6 = 2y + 8

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by

4y - 6 = 2y + 8

⇒ 4y - 2y - 6 = 8     ( subtracting 2y from both the sides)

⇒ 2y -6 -8 = 0           (subtracting 8 from both the sides)

⇒ 2y - 14 = 0

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

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Answer:

I think dividing them by the same number is a solution so , 15/5 to 25/5

= 3:5

According to the given statement the given data is true.

we can see that the number 5 is a perfect square of 25.

Informally: When someone multiplies an integer (a "whole" number, positive, negative, or zero) by itself, mathematics resulting product is known as a square number, a perfect square, or simply "a square." So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on are all square numbers.

To check the accuracy of your square, simply calculate the exact square root of something like a given value. If the square root seems to be an integer, your number is the perfect square. Let's compute the squares of something like the following numbers: 49 and 53. 49 = 7 - 7 is an integer number 49 is a perfect square.

As can be seen, the calculated value is:

x²=25 , then x=5

While find the square root of the given number of:

x²=25

x = √25

x=5

So,

we can see that the number 5 is a perfect square of 25.

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Congruent transformations can be divided into three categories: rotation, translation, and reflection. We can accurately characterize translations by using vectors.

What is the name of a congruence transformation?

A congruent transformation, also known as a congruence transformation, is: Isometry's other name; see congruence (geometry).

Is reflection a transition that congruence?

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Answer:2,166

Step-by-step explanation:

Answer:

17/2 (or) 8.5

Step-by-step explanation:

Let's solve the problem,

→ -1 1/2 × -5 2/3

→ (-3/2) × (-17/3)

→ 17/2 (or) 8.5

So, the answer is 17/2.

The equation of the circle (x + 3)^2 + (y - 5)^2 = 38 has a radius of √38 and a center located at (-3 , 5).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, (x + 3)^2 + (y - 5)^2 = 38, is in standard form, then

h = -3

k = 5

r = √38

Hence, the equation of the circle (x + 3)^2 + (y - 5)^2 = 38 has a radius of √38 and a center located at (-3 , 5).

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If LM ⊥ JK and JL ≅ KL, we can prove ΔJLM ≅ KLM by HL. Therefore, we know that JM ≅ MK by CPCTC, making M the midpoint of JK. Therefore, is the perpendicular bisector, median, and altitude of ΔJKL.

CPCTC is an abbreviation for "corresponding parts of congruent triangles are congruent," and it states that if two or more triangles are congruent, their corresponding angles and sides are also congruent.

CPCTC is frequently used at or near the end of a proof in which the student is asked to demonstrate that two angles or two sides are congruent. It means that if two triangles are proven to be congruent, the three pairs of sides that correspond must also be congruent, as must the three pairs of angles that correspond.

Since LM ⊥ JK and JL ≅ KL, we can prove ΔJLM ≅ KLM by HL. Therefore, we know that JM ≅ MK by CPCTC, making M the midpoint of JK. Therefore, is the perpendicular bisector, median, and altitude of ΔJKL.

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Equilateral ΔD E F with sides 4 b units long has been plotted below.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

An equilateral triangle is a triangle whose all sides are the same.

The all interior angle of an equilateral triangle is 60 degrees.

The length of each side of the given equilateral ΔDEF is 4b.

Hence "Equilateral ΔD E F with sides 4 b units long has been plotted below".

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The formula of the geometric sequence is a(n) = 7, which is a constant sequence. The first five terms are 7, 7, 7, 7, 7.

Parameters given in the problem:

a₁ =7, r=1

Since there is r (ration), this is a geometric sequence. To find its explicit formula, substitute the given parameters into the formula of the n-th term of a geometric sequence:

a(n) = a₁ . r^(n-1)

Where:

a₁ : the first term

r  : ratio which is equal to a(n)/a(n-1)

Substitute  a₁ =7, r=1

a(n) = 7 . 1ⁿ⁻¹

Note that 1ⁿ⁻¹ is always equal to 1, no matter the value of n. Therefore,

a(n) = 7

We can see here, the nth term is constant, it is not a function of n.

Therefore, the first five terms are: 7, 7, 7, 7, 7

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Non-Integer numbers are those that are not whole numbers, whole numbers that are negative numbers, or zero.

The first non-integer number in this pattern is 4.5

The pattern is as follows,

144/2 = 72

72/2 = 36

36/2 = 18

18/2 = 9

9/2 = 4.5.

4.5 is the first non-integer number in this pattern.

Therefore, the first non-integer number in this pattern is 4.5.

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The angle made by ∠MLPQR = 49°.

What is an Angle:

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex. The angle that lies in the plane does not have to be in the Euclidean space. In case if the angles are formed by the intersection of two planes in the Euclidean or the other space, the angles are considered dihedral angles. The angle is represented using the symbol “∠”. The angle measurement between the two rays can be denoted using the Greek letter θ, α, β etc. If the angles are measured from a line, we can find two different types of angles, such as a positive angle and a negative angle.

Now,

We know that One unit circle. = 360°

intercepted arc PSR = 360° - 131°= 229°

Now,

MLPQR = 1 / 2 (Difference of intercepted arcs)

1/2 (MPSR - MRP)

=1 /2 (229-131)

= 98 / 2 = 49°

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Point K is located at (-6, -3) on the coordinate plane. Point K' is produced by reflecting point K over the y-axis. The ordered pair of the described location is K'(6,-3).

Given that,

Point K is located at (-6,-3) on the coordinate plane.

The sign of the x-coordinate is altered by reflection across the y-axis:

When a point is reflected across the x-axis, the x-coordinate stays constant, but the y-coordinate is thought to be the additive inverse. The x-axis shows a reflection of the point (x, y) as (x, -y).

When a point is reflected across the y-axis, the y-coordinate remains constant, but the x-coordinate is believed to be the additive inverse. The y-axis shows a reflection of the point (x, y) as (-x, y).

That is,

(x,y)⇒(-x,y)

K(-6,-3)⇒[tex]K^{'}[/tex](6,-3)

Therefore, the Point K is reflected over the y-axis to create point K'(6,-3).

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if you already have the answer and just need the graph, you can look for it on Desmos. Just write the answer and it will show you. Hope this helps.

Answer:

Time of loan in years = 3.167 = 3.2 years rounded to 1 decimal

Step-by-step explanation:

The question is only asking for the number of years, not the accrued principal. This should be straightforward:

38 months = 38/12 years = 3.166.... = 3.2 years rounded to 1 decimal point

Here are the accrued amount and interest computations in case you need them:

14% interest annually = 0.14 decimal

Since it is compounded daily we have to divide by 365, the number of days in a year

Also the time period will now be 365 x number of years = 365 x 3.2 = 1168 since it is being compounded daily

At 14% compounded daily, the accrued amount will be

[tex]A = \left( 1 + \dfrac{0.14}{365}\right)^{(365)( 3.2)} = \$4,695.13\\\\\mathrm{Interest } = \$4,695.13 - \$3000 = \$1,695.13[/tex]

Answer:

52 cm

Step-by-step explanation:

since all sides of a square is equal u do 4*13 and get 52 cm!

Answer: 52

Step-by-step explanation:

Square has 4 equal sides

13 x 4

Answer:

1/10

Step-by-step explanation:

If each number has an equal outcome(and there are 10 numbers), 100%/10 would equal 10%(or 1/10, or 0.1%) It is completely random though, if you got a 6 you could pull a 6 again. (I think this is correct I'm so sorry if it isn't) If you pulled two of the same numbers in a row you would do 1/10*1/10. That would equal 1/20, which is a 0.05%

Answer:

to solve for a¹,replacen=1

Answer:

Perhaps this could help :) xx

Answer:

Step-by-step explanation:

A: D:(-6,6)

B: D:(-7,5]

C: Not a function D: -5

D: Not a function D:(-4,4)

E: Not a function D:(0,∞)

F:  D:[0,∞)
G: D:[-3,5)

H: D:(-4,2)

I: D:[-3,4]

J: Not a function D:(-3.-4)

K: D:(-∞,∞)

L: D:(-∞,∞)

Part a

x = number of months

43x = amount saved at $43 per month

43x ≥ 250  is the inequality

===============================================

Part b

43x ≥ 250

43x/43 ≥ 250/43

x ≥ 5.81395 approximately

Since x is a positive integer, the value 5.81395 rounds to 6

So it would be x ≥ 6

================================================

Part c

He needs 6 months to be able to save at least $250.

Five months gets him 43x = 43*5 = 215 which is 35 dollars short of the goal of 250.

But 6 months gets him 43x = 43*6 = 258 which is 8 dollars over the goal of 250.

Answer:0.86

Step-by-step explanation:

The real interest rate is 1 percent.

The inflation rate is 3 percent.

Inflation rate is a rate that estimate the rise on prices of goods and services. The interest rate is a gain rate per unit time associated to invested capital. There are two kinds of interest rates: (i) Nominal interest rate - Inflation is neglected, (ii) Real interest rate - Inflation is not neglected.

Please notice that the difference between nominal interest rate (i) and the real interest rate (i') is the inflation rate (i''). That is:

i'' = i - i'

Now we proceed to find each missing variable:

(i = 4, i'' = 3)

i' = i - i''

i' = 4 - 3

i' = 1

The real interest rate is 1 percent.

(i' = 3, i = 6)

i'' = i - i'

i'' = 6 - 3

i'' = 3

The inflation rate is 3 percent.

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