What is ⅖x=4
And how do you solve it

Answers

Answer 1

Answer:x=10

Step-by-step explanation:

5/2 × 2/5 = 4/1 × 5/2

Multiply and simplify and x=10

Answer 2
Final answer:

The solution to the equation 2/5x = 4 is x = 10. You can find the solution by multiplying both sides of the equation by 5/2, which cancelled out the 2/5 on the left side, and then performing the operation on the right side.

Explanation:

To solve the equation 2/5x = 4, you'll first want to isolate the variable 'x' on one side of the equation. You can do this by dividing both sides of the equation by the coefficient of 'x', which is 2/5. However, instead of dividing by a fraction, it's easier to multiply by the reciprocal of the fraction.

So, we multiply both sides of the equation by 5/2. The 5/2 multiplied by 2/5 on the left side of the equation equals 1, leaving us with just 'x' on the left side of the equation.

So, you would have x = 4 * 5/2.

Now, we just perform the operation on the right side to find the value of 'x', and we get x = 20/2 = 10.

So, the solution to the equation 2/5x = 4 is x = 10.

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Related Questions

Which product is negative?

Answers

Answer: The Last One

Step-by-step explanation: The Last One Would Be A Product Of Negative

For this case we have that by definition, the law of the signs of multiplication states that:

[tex]+ * + = +\\+ * - = -\\- * + = -\\- * - = +[/tex]

So:

Option A:

[tex]- * - * + = + * + = +[/tex]

It does not give a negative sign.

Option B:

[tex]+ * - * - = - * - = +[/tex]

It does not give a negative sign.

Option C:

[tex]+ * + * + = + * + = +[/tex]

It does not give a negative sign.

Option D:

[tex]- * - * - = + * - = -[/tex]

The sign is negative.

Answer:

Option D

Solve the equation.

37 – 18 + 8w = 67

Answers

Answer:

6

Step-by-step explanation:

37 – 18 + 8w = 67

(37-18)+8W=67

19+8W=67

8W=67-19

     =48

W=48/8

  =6

Answer:

6

Step-by-step explanation:

[tex]37-18+8w=67\\19+8w=67\\19-19+8w= 67-19\\8w=48\\8w/8=48/8\\w= 6[/tex]

Jaclyn gets a hit 40% of the time while playing softball. She is going to use colored tiles to simulate her chances of getting a hit. Green tiles will represent hits, while red tiles will represent times Jaclyn does not get a hit. She will place the tiles in a bag, and then draw the tiles from the bag one at a time. Jaclyn places 12 green tiles in a bag. How many red tiles should she place in the bag?

Answers

Answer:

18 red tiles

Step-by-step explanation:

One way to look at this problem would be to take the number of tiles that Jaclyn used to get a possibility of 40% hits.

Jaclyn put 12 green tiles, this represents the 40% of the hits that she could get.

Now we know that 12 = 40%

We need to find how many red tiles she should put to still keep the 12 green tiles as 40%. We can also assume that 12 red tiles would be another 40%.

So we have 12 red tiles currently.

Now we still have another 20% left.

Since 12 red tiles = 40%, we can assume that:

6 red tiles = 20% of the total.

So if we add both the 40% red tiles to the 20% red tiles we get:

12 + 6 = 18 red tiles.

So Jaclyn will have to put 18 red tiles and 12 green tiles to simulate her chances of getting a hit.

five less than the product of 9 and a number equals 3

use the varaible x for unknown number.

Answers

answer is: 9x - 5 = 3

the correct answer is 9 × –5 =3

a beach ball has a diameter of 2 feet. which of the following is closest to the volume of the beach ball. a.4.2ft b. 12.6ft c. 16.8ft d. 33.5ft​

Answers

Answer: A

Step-by-step explanation: v= 4/3 pi r^3

Take diameter to radius by dividing it by 1/2

Final answer:

The volume of the beach ball with a diameter of 2 feet is approximately 4.2 cubic feet, calculated using the volume formula for a sphere, resulting in choice (a) being the closest match.

Explanation:

To find the volume of the beach ball, we must use the formula for the volume of a sphere, which is V = ⅔×π×r³, where r is the radius of the sphere. Since the diameter of the beach ball is 2 feet, its radius is half of that, which is 1 foot. Plugging the values into the formula:

V = ⅔×π×(1 ft)³

Let's calculate:

V = ⅔×π×(1)³

V = 4.18879 cubic feet (approximately)

So, the volume of the beach ball is approximately 4.2 cubic feet, which corresponds to choice (a).

can someone pls help ASAP​

Answers

Answer:

3) x= 5, -2

4)x= -3, -5

In a field, Raja, Mary, and Miguel are standing in the shape of a triangle. Raja is 128 feet from Mary and Mary is 143 feet from Miguel. Which of the following is a possible distance between Raja and Miguel?

Answers

I think the possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.

Answer:

The possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.

Step-by-step explanation:

The person who answered this is correct, also, please mark me brainliest, i took the test and got 100% hope this helps:)

Consider the equation y= kx where y= 7.5 and x=3. Which value represents k?
Answer Choices:
A) k= 22.5
B) k= 4.5
C) k= 0.4
D) k= 2.5

Answers

[tex]y = kx\\ \frac{y}{x} = k \\ \frac{7.5}{3} = 2.5[/tex]

the answer is D) k=2.5

the answer is D) k=2.5

How to solver this problem

Answers

Answer:

9000

Step-by-step explanation:

multiply all of it....if i am wrong then i truly apologize

I think you multiply all of it

A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches. What is the volume of the prism? Answer ASAP

Answers

For this case, we have that by definition, the volume of a rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b} = l * w,[/tex] It is the area of the base

h: It is the height of the prism

So:

[tex]l = 3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2} in\\w = 5 \ in\\h = 1 \frac {1} {2} = \frac {2 + 1} {2} = \frac {3} {2} in[/tex]

So, we have:

[tex]A_ {b} = \frac {7} {2} * 5\\A_ {b} = \frac {35} {2}\\A_ {b} = 17.5 \ in ^ 2[/tex]

Thus, the volume will be:

[tex]V = 17.5 * \frac {3} {2}\\V = 26.25 \ in ^ 3[/tex]

Answer:

[tex]V = 26.25 \ in ^ 3[/tex]

Translate the algebraic expression 7(8j+4+9j) to a verbal expression.

Answers

Seven times the value of eight j plus four plus nine j

Which expression represents the volume of the prism?

Answers

Answer:  V = B · h

Step-by-step explanation:

Volume (V) = Area of the base (B) × height (h)

The Area of the base (B) depends on the shape of the base. For example:

Triangular prism = Area of a Triangle × heightRectangular prism = Area of a rectangle × heightPentagonal prism = Area of a pentagon × height

The expression for volume of prism is A*H where A is area of base and H is height of the prism.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.

What is the volume of prism?

A prism is a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

Basically a prism has a base with a height.

The volume V of prism will be the product of the area of base A and the height of the prism H.

V=A*H

Therefore, the expression for volume of prism is A*H where A is area of base and H is height of the prism.

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Someone knows the answer for this ?

Answers

Answer:

Option B.

Step-by-step explanation:

Each summation symbol tells you to add terms. The terms are obtained by replacing n in the expression with the integers 1, 2, 3, 4, 5, and 6.

Let's look at option A:

The expression is 2(2)^n.

Replacing n with 1, 2, ..., 6 gives us these terms, which are added:

2(2)^1, 2(2)^2, 2(2)^3, 2(2)^4, 2(2)^5, 2(2)^6

The terms above simplify to:

4, 8, 16, 32, 64, 128

Clearly these are not the terms in the series you are given, so option A is not the answer.

Let's now look at option B:

Replacing n in 2n with 1, 2, 3, ..., 6 gives us:

2(1), 2(2), 2(3), 2(4), 2(5), 2(6) which simplifies to 2, 4, 6, 8, 10, 12.

Since it's a summation, you add the terms above to get

2 + 4 + 6 + 8 + 10 + 12

Option B is the answer.

A two-sided coin (heads/tails) is flipped once, and one card is drawn from a standard 52 deck of playing cards. Calculate the probability of each given situation.


Drawing a King AND drawing a Heart -

Flipping a Heads OR flipping a Tails -

Flipping a Tails AND drawing a King -

Flipping a Tails OR drawing a King -

Drawing a King OR drawing a Heart -


Item bank

1

1/26

1/52

4/13

7/13

Answers

Answer:

Drawing a King AND drawing a Heart -  1/52 Flipping a Heads OR flipping a Tails -  1 Flipping a Tails AND drawing a King -  1/26 Flipping a Tails OR drawing a King -  15/26 Drawing a King OR drawing a Heart - 17/52

Step-by-step explanation:

To solve these we need to understand AND/OR rule of probability.

Simply put "AND" means "multiplication" and "OR" means "addition".

1.Drawing a King AND drawing a Heart:

Pleas note that there are 4 suits in a deck of cards and each suit has 1 king. So in a 52-card standard deck, there is 4 king. Also, there are 13 cards of each suite, so there are 13 hearts out of total 52. Also note that there is "AND" in between (so multiplication).

P(King)*P(heart) = 4/52 * 13/52 = 1/52

2. Flipping a Heads OR flipping a Tails:

Note that there can only be head or tail, so probability of either head of tail is 1/2. Note, there is "OR" in between (so addition).

P(head) + P(tail) = 1/2 + 1/2 = 1

3. Flipping a Tails AND drawing a King:

We already saw the probability of flipping tail is 1/2. Also, we say that there are 4 kings in a standard deck, so probability of drawing a king is 4/52. Note there is "AND" in between (so multiplication). Thus:

P(tails) * P(King) = 1/2 * 4/52 = 1/26

4. Flipping a Tails OR drawing a King

As #3, flipping a tail's probability is 1/2. And, drawing a King's probability is 4/52. BUT here, it is "OR" in between , hence we need to "ADD". Thus:

P (tail) + P(King) = 1/2 + 4/52 = 15/26

5. Drawing a King OR drawing a Heart

As we know, there are 4 suits each with 1 king, so there are total of 4 kings in a standard 52-deck card. Also, there are 13 cards of each suite (hearts, spades, diamonds, clubs). So there are 13 hearts. Hence, probability of King is 4/52 and probability of heart is 13/52. Note that there is "OR" in between, so that means "addition". Thus:

P(king) + P(heart) = 4/52 + 13/52 = 17/52

The various probabilities calculated are: 1) 1/52, 2) 1, 3) 1/26, 4) 7/13, 5) 4/13.

Drawing a King AND drawing a Heart:
The probability of drawing a King (4 Kings in 52 cards) is 4/52, and the probability of drawing a Heart (13 Hearts in 52 cards) is 13/52. The probability of drawing a King that is also a Heart is the probability of drawing the King of Hearts, which is 1/52.Flipping a Heads OR flipping a Tails:
The probability of flipping either Heads or Tails is 1 (since these are the only two outcomes of a coin flip, and one of them must happen).Flipping a Tails AND drawing a King:
The probability of flipping a Tails is 1/2, and the probability of drawing a King is 4/52. Therefore, the combined probability is (1/2) * (4/52) = 1/26.Flipping a Tails OR drawing a King:
Using the addition rule for probabilities, P(Tails) = 1/2 and P(King) = 4/52. Since these are independent events, P(Tails OR King) = P(Tails) + P(King) - P(Tails AND King) = 1/2 + 4/52 - 1/26 = 0.5 + 0.0769 - 0.0385 ≈ 0.5385 or 7/13.Drawing a King OR drawing a Heart:
The probability of drawing a King is 4/52, and the probability of drawing a Heart is 13/52. Since there is 1 King that is also a Heart, P(King OR Heart) = P(King) + P(Heart) - P(King AND Heart) = 4/52 + 13/52 - 1/52 = 16/52 = 4/13.

Therefore, the various probabilities calculated are: 1) 1/52, 2) 1, 3) 1/26, 4) 7/13, 5) 4/13.

What is the total amount paid for a bill of $83.97 with a gratuity of 20%? (Round to the nearest cent.)

Answers

Answer:

Tip Amount: $ 17

Tip Each Person: $ 17

Bill Each Person: $ 84

Total (Bill + Tip): $ 101

Total Each Person: $ 101

Step-by-step explanation:

What is the value of

Answers

Answer:

0

Step-by-step explanation:

For this case we have that by definition of properties of powers, it is fulfilled that:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

On the other hand, we have that any number elevates it to the power 0, results in "1"

We have the expression:

[tex](-14^0)^{-2}[/tex]

What can we rewrite as:

[tex]\frac {1} {(- 14 ^ 0) ^ 2} = \frac {1} {(14 ^ 0) (14 ^ 0)} = \frac {1} {1 * 1} = \frac {1} {1} = 1[/tex]

Answer:

Option D

x = 2.5 5y + 2x = -10

Answers

Answer:

y = -3, x = 2.5

Step-by-step explanation:

5y + 2x = -10 if x = 2.5

5y + 2(2.5) = -10

5y + 5 = -10

5y = -15

y=-3

Which represents an exterior angle of triangle ABF?

∠BAD
∠AFE
∠CAD
∠CAB​

Answers

Answer:

The correct answer is CAB

Step-by-step explanation:

Exterior angles include two corner points and one point not on the triangle. Thus CAD would be an exterior angle.

The angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB​

An exterior angle of a triangle is an angle outside the triangle that is adjacent to an interior angle of a triangle, and also shares same side together.

An illustration of an exterior angle of a typical triangle has been shown in the diagram attached below.

The angle that is marked green is an exterior angle.

Analyzing the diagram given for this question, the only exterior angle of triangle ABF from the list of answer choices given is <CAB.

Therefore, the angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB​

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How many triangles exist with the given angle measures?
30, 65, 85

A. No triangle exists
B. More than one unique triangle exists

Answers

Because triangles also equal a total of 180 degrees, the answer is B

The  triangles exist with the given angle measures should be option b.

The following information should be considered;

Since the angle measures are 30,65 and 85Also the total of triangle is 180.Therefore there should be more than 1 unique triangle that is existed.

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which of the following transformation would not preserve congruence between the image and pre-image?​

Answers

Answer:

Dilation

Step-by-step explanation:

dilation either inflates or deflates the shape therefor being a non-rigid transformation because it does not keep its same size

Answer:

sample,

No, it is not possible to get the same image as a 90-degree clockwise rotation using only translations and/or reflections. In the rotation, the x- and y-coordinates are switched. There is no way to reverse the order of the coordinates using only reflections or translations.

edginuity 2021

What is the truth value for the following conditional statement?
p: true
q: true

∼p → q

F T → T
T T → F
F T → F
T F → T

Answers

Answer:

FT→T

Step-by-step explanation:

If p is true, then ~p is false.

Now note that

If a and b are both true, then a→b is true.If a is true, b is false, then a→b is false.If a is false, b is true, then a→b is true.If a and b are both false, then a→b is true.

In your case, both~p is false and q is true, then ~p→q is true too (or FT→T)

Answer:

[tex] F -T\rightarrow T[/tex].

Step-by-step explanation:

We are given that

p: true

q: true

The condition statement [tex]\neg p\rightarrow q [/tex]

If p is true then[tex]\neg p [/tex] is false.

If p is false then [tex]\neg p[/tex] is true.

If[tex]\ neg p [/tex] is false and q is true then the value of [tex]\neg p \rightarrow q[/tex] is true.

If  [tex]\neg p [/tex] is true and q is true then [tex]\neg p \rightarrow q[/tex] is true.

If[tex]\ neg p[/tex] is true and q is false then the value of [tex]\neg p \rightarrow q[/tex] is false.

If [tex]\neg p[/tex] is false and q is false then the value of [tex]\neg p \rightarrow q [/tex] is true.

[tex]F-T\rightarrow T[/tex]

[tex]T-F\rightarrow F[/tex]

[tex]F -F\rightarrow T[/tex]

[tex]T-F \rightarrow F[/tex].

The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the form
g(x) = (x – h)3 + k.

Answers

Answer:

First option

h = 4 and k = - 2

Step-by-step explanation:

f(x) = x^3 translated to g(x) = (x – h)^3 + k.

f(x) transformed to g(x) with 4 units to the right and 2 units down

g(x) = (x - 4)^3 - 2

h = 4 and k = - 2

The translated function is g(x) = (x - 4)³ - 2, the correct option is the first one.

Which equation represents the translated function?

For a general function f(x), we can define:

Vertical translation of N units as:

g(x) = f(x) + N

if N < 0, the translation is downwards.

if N > 0, the translation is upwards.

Horizontal translation of N units as:

g(x) = f(x + N)

if N > 0, the translation is to the left.

if N < 0, the translation is to the right.

Here we can see that we have a translation of 4 units to the right and 2 units down, then the translated function is:

g(x) = (x - 4)³ - 2

The correct option is the first one.

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Can you plz help me i need the anwser will give brainliest

Answers

Answer:

well you got the answer correct

Step-by-step explanation:

find the area

first 14+7+5+5

next add the  total by 36

finally you'll get the answer

Answer:

36 + total =

A scale factor of _____ was applied to the first triangle.

Answers

1:4 is the scale factor of the triangle

A club rent a bus for a trip the cost c in dollars that each person pays to cover the cost of the bus varies inversely with the number of people p who go on the trip it will cost $30 per person if 50 people go on the trip how much will it cost per person and 40 people go on the trip.

Answers

Answer:

[tex]c=\$37.5[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem we have

[tex]c*p=k[/tex]

step 1

Find the value of the constant k

For [tex]c=30, p=50[/tex]

substitute

[tex]k=30*50=1,500[/tex]

the equation is

[tex]c*p=1,500[/tex]

step 2

Find the value of c for [tex]p=40[/tex]

substitute in the equation and solve for c

[tex]c*(40)=1,500[/tex]

[tex]c=\$37.5[/tex]


The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.

Answers

The image represent the graph of the function.

//Hope it helps.

Answer:

The axis of symmetry is x = –4.

The domain is all real numbers.

The function is negative over (–6, –2).

or BCE

Step-by-step explanation:

The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.

The axis of symmetry is x = –4.

The domain is all real numbers.

The function is negative over (–6, –2).

or BCE

A triangular pyramid has a height of 27 yards and a base with an area of 210 square yards.
What is the volume of the pyramid?

Answers

Answer:

1890 yd³

Step-by-step explanation:

V = ½Ah

= ½ × 210 × 27

= 1890 yd³

The  volume of the pyramid is 1890 yd³.

Which of the following statement below is false?

Answers

Given these evaluations, the most likely false statement is the second one, as the price of gasoline can vary greatly and is not necessarily more expensive by the liter than by the gallon in all cases. However, without specific context or pricing information, it's hard to definitively say this statement is false globally. It would be the most contextually dependent and variable of the statements provided.

The image contains a multiple-choice question asking which of the following statements is false:

1. Volume and capacity measurements of the same amount would be equivalent in number but not in measurement unit.

2. Gasoline is more expensive if you purchase it by the liter than by the gallon.

3. If you multiplied the diameter of the Earth by pi (3.14), you would get the approximate measurement of the equator.

4. Historically, a meter is 1/10,000,000th of an imaginary arc that runs from the North Pole through Paris to the Equator.

To answer this question, let's evaluate each statement for its truthfulness:

1. Volume and Capacity: This statement is true. Volume and capacity refer to the amount of space that is filled or could be filled with a substance. They are equivalent in number but expressed in different units. For example, 1 liter of water has the same volume as 1,000 milliliters of water.

2. Gasoline Pricing: This statement can be true or false depending on the pricing in a particular country, but it is generally true that gasoline prices per liter are higher than per gallon due to the conversion factor between liters and gallons. However, this is a variable factor and can differ in reality based on regional pricing policies.

3. Earth's Diameter and Equator: This statement is true. The circumference of the Earth at the equator is approximately equal to the diameter of the Earth multiplied by pi (π).

4. Historical Meter Definition: This statement is true. Historically, the meter was defined as one ten-millionth of the distance from the equator to the North Pole along a meridian through Paris.

Which of the following functions is a direct variation?

Answers

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

I need help I do not understand.

Answers

9+ -6 -6

What do you want to know?

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