What should be subtracted from thrice the rational number -8/3 to get
5/2?

Answers

Answer 1

Answer: -21/2 or -10.5

Step-by-step explanation:

Let x be the number that is going to be subtracted from the rational number

3 × (-8/3) - x = 5/2 ⇒ Write the equation

-8 - x = 5/2 ⇒ Do multiplication

-8 - x + x = 5/2 +x ⇒ Add x on both sides

-8 = 5/2 + x ⇒ Simplify

-8 - 5/2 = 5/2 + x - 5/2 ⇒ Subtract 5/2 on both sides

x = -21/2 = -10.5 ⇒ Simplify

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

PLEASE help me!!!
Amina has two bags.
In the first bag there are 3 red balls and 7 green balls.
In the second bag there are 5 red balls and 4
green balls.
Amina takes at random a ball from the first bag.
She then takes at random a ball from the second bag.
(a) Complete the probability tree diagram.

Answers

Answer:

Step-by-step explanation:

first

3/10 & 7/10

second

5/9 & 4/9

the best way to learn math formulas

Answers

Writing down the formulas on charts and pasting it in your room,by seeing this daily it helps to memorize the formulas.

Saying the formulas louder also helps to memorize the formula.

Watching videos related to maths formulas and equations helps to remember the formulas easier.

Doing many problems regularly will helps you to remember the formulas.

lastly study to Understand The Formula not to memorize

The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
3(4x3– 1) – (9x2 + 4x)
4x(3x2 + 1) – 3(3x2 – 1)
3x(4x – 3) – (3+ 4x)
3x2(4x – 3) + 1(4x – 3)
IM ON EDGE

Answers

Answer:

12x^3-9x^2+4x-3

3(4x^3-1)-(9x^2+4x)

therefore option A is right

thank you, and mark it as brainliest if u find it useful

The path from the subway station to the art museum is three blocks to the north then four blocks to the west.
What is the straight-line distance in blocks from the subway station to the art museum?

Answers

Answer:

7 block s

Step-by-step explanation:

3 from North plus

4 from West

4+3=7

Which plane geometry has countless symmetry axis ? (except for circle)
Sorry if there are some grammatical mistakes in my question because English isn't my first language. Thank you very much !

Answers

Countless symmetry axis of a parabola is vertical line which divides the parabola into two congruent halves.

The axis of symmetry always passes through vertex of parabola. These will cause the plane to divide into two parts.

The geometric shape may have countless symmetry axis. This actually divides the shape into two halves and creates a mirror like effect.

The x-coordinate of vertex is equation of axis symmetry of parabola. Lets say if we take an example of quadratic equation which is ,

y = ax^2 + bx + c , here in this equation the axis of symmetry is vertical line which is x = - b^2 a

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I am not sure. Is this right?

Answers

Answer:

14.4

Step-by-step explanation:

since the longest side is 24,find the shortest side

√20^2-12^2

√400-144

√256

=16

which means the other shortest side is 24-16

which is 8

then you have to use the 12 and 8 to find the unknown side

√12^2+8^2

144+64

√208

14.4

I hope this helps

help me please it's important!!​

Answers

Answer:

Does the answer help you?

Answer:

102 cm³

Step-by-step explanation:

Volume of R1:

length = 7 cm

Width = 3 cm

Height = 2 cm

Volume = 7* 3  * 2 = 42 cm³

Volume of R2:

length = 5 cm

Width = 4 cm

Height = 3 cm

Volume = 5 * 4 * 3=  60 cm³

Volume of the figure = 42 + 60 =  102 cm³

please help:

give an example of an undefined term and how it relates to a circle.​

Answers

It is the set of all points in a plane that are at a given distance from a fixed point.

8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Answers

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that [tex]\mu = 32, \sigma = 1.5[/tex]

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 32}{1.5}[/tex]

[tex]X - 32 = -1.645*1.5[/tex]

[tex]X = 29.5[/tex]

Heights of 29.5 and below could be a problem.

Find the number in which 9 has greater value.
0.5689
5.6890
56.89
569.80

Answers

Answer:

569.80

Step-by-step explanation:

Among all the choices, the digit 9 has the greatest value in number 569.80. For the reason that 9 got ones value - which are greatest than other.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

HELP!!!
I need to know if this is Function or not a function.

Answers

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

Which is the equation of a parabola with Vertex (0,0) and focus (0, 2)?
a. ya = 8x
c. x2 = 8
b. y2 = 4x
d. x2 = 4y

Answers

Answer:

So the equation of the parabola is x2=8y i don't really know

find the missing length indicated​

Answers

Answer:

192

Step-by-step explanation:

Apply the geometric mean formula to solve for x, which is the altitude of the right triangle.

The formula is:

h = √(mn)

h = x = ?

m = 144

n = 400 - 144 = 256

Substitute

h = √(256*144)

h = √36,864

h = 192

Therefore, x = 192

Which of the following planets has the strongest winds in the solar system?
O Jupiter
O Mars
O Neptune
O Venus

Answers

Neptune has the strongest winds in the Solar System. Winds whip clouds of frozen methane across the planet at speeds of more than 1,200 miles per hour (2,000 kilometers per hour).

Answer: The answer is Neptune ^-^

Step-by-step explanation:

Got it correct on the test :]

find the measure of one exterior angle for the following regular polygon ​

Answers

Answer:

36 degrees

Step-by-step explanation:

10 corners/sides.

the sum of all exterior angles in a polygon is always 360 degrees.

so, one exterior angle here is 360/10 = 36 degrees

The distance AB rounded to the nearest tenth = [?]

Answers

Answer:

4.5 units

Step-by-step explanation:

Use the distance formula

[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{16+4}=\sqrt{20}[/tex]

The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Meaning of Distance

Distance can me defined as a measure that tells us how far apart two objects or individual are to each other.

Distance is very important as it helps us know where exactly things are located and whether they are close or  far apart

In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

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Please hurry I will mark you brainliest

What is the equation of the line parallel to y = 2x - 4 and with the same x - intercept as 3x – 4y = 12?

Answers

Answer:

y=2x-8

Step-by-step explanation:

Hi there!

We want to find an equation of the line parallel to y=2x-4 but has the same x intercept as 3x-4y=12

Parallel lines have the same slope, but different y intercepts

In y=2x-4, which is written in y=mx+b form, m is the slope and b is the y intercept

2 is in the place of where the slope would be, so the slope of that line is 2

That means the slope of the line parallel to it would also have a slope of 2

Here is the equation of the parallel line so far:

y=2x+b

We need to find b, the y intercept

Typically, we'll substitute a point into the equation to solve for b, but we don't have a point, yet

We're given that the new line has the same x intercept as 3x-4y=12

The x intercept is the point where the line passes through the x axis, and so the value of y at that point is 0

Let's substitute 0 for y in 3x-4y=12 and solve for x to find the x intercept

3x-4(0)=12

Multiply

3x=12

Divide both sides by 3

x=4

So the value of the x intercept is 4. As a point, it's (4,0)

So now substitute the values of the point (4,0) into y=2x+b to find b

0=2(4)+b

Multiply

0=8+b

Subtract 8 from both sides

-8=b

Substitute -8 as b into the equation

y=2x-8

Hope this helps!  

A car starts from rest. if the velocity of car become 15m/s after 20s calculate the acceleration of the car.​

Answers

Answer:

[tex]0.75 {ms}^{ - 2} [/tex]

Step-by-step explanation:

[tex]acceleration = \frac{velocity}{time} \\ = \frac{15ms ^{ - 1} }{20s} \\ = \frac{3}{4} ms ^{ - 2} \\ = 0.75 {ms}^{ - 2} [/tex]

[tex]\Large\rm{\underbrace{\green{ \: Acceleration \: = \: \ \frac{v}{t} \: }}}[/tex]

V denotes rate of change in Velocity

t denotes time taken

[tex] \bf \large \implies \: Acceleration \: = \: \frac{15}{20} \\ [/tex]

[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{15 \: \small \: m /s }{20 \: s} \: = \: \frac{3}{4} \: m /s ^{ - 1} \\ [/tex]

[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{3}{4} \:m /s ^{ - 1} \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]

[tex] \bf \large \implies \: \: Acceleration \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]

A cylindrical paint can has a diameter of 12 centimeters and height of centimetrs which is closest to the volume of the paint can in cubic centimeters

Answers

Answer:

The correct answer is "1808.64 cm³".

Step-by-step explanation:

Seems that the given query is incomplete. Below find the attachment of the complete problem.

Given:

Diameter,

d = 12 cm

Radius,

r = [tex]\frac{d}{2}[/tex]

 = [tex]\frac{12}{2}[/tex]

 = [tex]6 \ cm[/tex]

Height,

h = 16 cm

As we know,

The volume of cylinder is:

= [tex]\pi r^2 h[/tex]

By substituting the values, we get

= [tex]3.16\times (6)^2\times 16[/tex]

= [tex]3.14\times 36\times 16[/tex]

= [tex]1808.64 \ cm^3[/tex]

PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST ​

Answers

Answer:
26. A
27. A

Explanation:

If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse?

PLEASE HELP

Answers

Answer:

[tex]4\sqrt{5}[/tex]

Step-by-step explanation:

In order to solve this problem, we can use the pythagorean theorem, which is

a^2 + b^2 = c^2, where and b are the legs of a right triangle and c is the hypotenuse. Since we are given the leg lengths, we can substitute them in. So, where a is we can put in a 4 and where b is we can put in an 8:

a^2 + b^2 = c^2

(4)^2 + (8)^2 = c^2

Now, we can simplify and solve for c:

16 + 64 = c^2

80 = c^2

c = [tex]\sqrt{80}[/tex]

Our answer is not in simplified radical form because the number under is divisible by a perfect square, 16. We can divide the inside, 80,  by 16, and add a 4 on the outside, as it is the square root of 16:

c = [tex]4\sqrt{5}[/tex]

The length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.

To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the lengths of the other two sides.

In this case, let's label the lengths of the legs as 'a' and 'b', with 'a' being 4 and 'b' being 8. The hypotenuse, which we need to find, can be represented as 'c'.

Applying the Pythagorean theorem, we have:

[tex]a^2 + b^2 = c^2[/tex]

Substituting the given values:

[tex]4^2 + 8^2 = c^2[/tex]

16 + 64 = [tex]c^2[/tex]

80 = [tex]c^2[/tex]

To find the length of the hypotenuse 'c', we need to take the square root of both sides:

√80 = √ [tex]c^2[/tex]

√80 = c

The square root of 80 is approximately 8.94.

Therefore, the length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.

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(x^2+1)(x-1)=0 help me pls

Answers

Answer:

x = ±i ,  x=1

Step-by-step explanation:

(x^2+1)(x-1)=0

Using the zero product property

x^2 +1 = 0   x-1= 0

x^2 = -1       x=1

Taking the square root of the equation on the left

sqrt(x^2) = sqrt(-1)

x = ±i   where  i is the imaginary number

We still have x=1 from the equation on the right

Find m<DCV and m<VBD​

Answers

Answer:

∠ DCV = ∠ VBD = 50°

Step-by-step explanation:

The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is

∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.

Answers

Answer:

Rounded to the nearest tenth, 7.4 feet long.

Step-by-step explanation:

Tyrone has a rectangular storage unit. We are given the width and the diagonal length.

So we can use Pythagorean Theorem.

3^2 + b^2 = 8^2

9 + b^2 = 64

subtract 9 from both sides

b^2 = 55

b = sqrt55

b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.

5. There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit? I NEED THIS QUICK PLZ HELP I’LL GIVE YOU 30

Answers

Brainlist me!! :) hope this helps you

Answer:

5.280

Step-by-step explanation:

i did this question and got it

Which shapes have the greatest area?
(Select all that apply.)

Answers

Answer:

the trapiezium

Step-by-step explanation:

It has a area of 4 which is the highest

Which of the following statements best describes the relationship between
any point on an ellipse and each of its two foci?
A. The quotient of the distances to each focus equals a certain
constant.
B. The difference of the distances to each focus equals a certain
constant.
C. The sum of the distances to each focus equals a certain constant.
D. The product of the distances to each focus equals a certain
constant.

Answers

Answer:

C

Step-by-step explanation:

The sum of distances from any point on the ellipse to each foci equals a certain amount, no matter what point on the ellipse it starts from. The foci are on the major radius of the ellipse (the longer length of horizontal/vertical). The foci are of equal distance from the center, with one on each side.

If you wanted to find where the foci are using the major and minor radius, we can find that, representing the distance between the center and any foci as g,

g² = major radius² - minor radius². Then, the distance between the center and the foci is equal to g

Darryl has written 60 percent, or 12 pages, of his history report. Darryl wants to figure out how many total pages he needs to write. Darryl’s work is shown below.
Step 1: Write 60 percent as a ratio. StartFraction part Over whole EndFraction = StartFraction 60 Over 100 EndFraction

Answers

Answer:

total pages = 20

Step-by-step explanation:

60% of an unknown number is 12

Let the unknown number (total pages) be x.

60/100 of x = 12

60/100 * x = 12

3/5 x = 12

x = 12 * 5/3

x = 20

Total page equals 20 your welcome my friend

according to the rational root theorem which of the following are possible roots of the polynomial function below? F(x)=6x^3-7x^2+2x+8

Answers

Answer:

Hello,

Step-by-step explanation:

all potential roots are of the form a/b where a is a divisor of 8

and b is a divisor of 6 ( in Z)

So A,D,E,F may be roots

but B and C not.

write down amultiple of 4 and 14 which is less than 30​

Answers

28

How?

Multiples of 4=8,12,16,20,24,28Multiples of 14=28,42

We can see that 28 is the lowest common multiple also it is <30

Answer: 28.

Step-by-step explanation: 28 is divisible by 4: 28 / 4 = 7. 28 is divisible by 14: 28 / 14 = 2. And 28 is less than 30

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