1/3 of a number is added to 5. The result is one and a half times the original number​

Answers

Answer 1

Answer:

let the number be x...therefore 1/3 of x equals to 1/3x

1/3x+5=6/5x....collect like terms

1/3x-6/5x=-5

0.3x - 1.2x = -5

-0.9x = -5

Divide both sides by coefficient of x....

X = -5/-0.9

=5.55

=5.6


Related Questions

Please help me with the question

Answers

Answer:it is x=24

because you cant divide a negative and negative to get a negative you will get a postive if you divide -24/-3 but 24/-3 is -8

Step-by-step explanation:

Anyone know what the answer to this is?

Answers

The answer is 4(12/56) and 34 from the 12.

Answer:

lol doofus

Step-by-step explanation:

question will be in picture

Answers

Let N be the nickels and Q be the quarters, since Charlie found 35 coins, we can write

[tex]\begin{gathered} N+Q=35 \\ or\text{ equivalently} \\ N=35-Q \end{gathered}[/tex]

Now, we know that a nickel is worth 5 cents and a quarter is worth 25 cents, then we can write

[tex]\begin{gathered} 5N+25Q=100\times5.15 \\ 5N+25Q=515 \end{gathered}[/tex]

Then, the answer is option a.

who if u watched big city greens the do this trivia 1. who is crickets sister 2. who is bills dad 3. who is the first friend cricket made 4. who is andromeda 5. who loves burger crown. 6. who is crickets partner in crime 7. who is the newest member of the green family 8. what was the greens main purpose of moving to grammas house 9. who is bills friend 10.why did nancy go to jail

Answers

Answer:

tilly

its remy on the 4th quesiton

cricket loves burger clown

officer keys

gloria who works at coffee shop

because bill was going to lose the farm back in the country

Good Ol' Joe

because she let the cows out of the stables

here is your answers

1756.18595945 to the nearest hundred-thousandth

Answers

The computation shows that 1756.18595945 to the nearest hundred-thousandth will be 1756.18596.

How to illustrate the information?

After being rounded, the value of the hundred thousandth place, which is five places to the right of the decimal point, determines the value of the nearest ten thousandth of a decimal number, which is the value four places to the right of the decimal point.

The thousandth digit should be rounded down if the digit is less than 5. If that number is five or more, round it up to the nearest thousand. We must round up the thousandth digit because in the example given above, the digit following the thousandth digit (i.e., 9) is more than 5. This will give a value of 1756.18596.

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product of (-1.2x+5) and (5x)

Answers

Answer:

(5x)(-1.2x+5)

=-6x^2+25x

Step-by-step explanation:

An art teacher has a total of \frac{7}{8} pound of clay. The teacher puts \frac{1}{16} pound of clay at each workstation. The teacher sets up an equal number of workstations in each of two classrooms.

How many workstations does the teacher set up in each of the classrooms?

Answers

The teacher has set up 7 workstations in each classroom

Total pounds of clay = 7/8 pounds

Pound of clay put at each workstation = 1/16

Fractions: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Finding the number of workstations:

Number of workstations = Total clay available/Clay set up at each workstation

=(7/8)/(1/16)

=7/8*16/1

= 14 workstations

There are two classes in which these workstations are divided

so, each class will have 7 workstations

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Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Drag carrots and potatoes into the box to show how many Mark needs for 15 servings.

Answers

The number of carrots and potatoes that Mark will need for 3 servings will be 6 carrots and 3 potatoes.

How to illustrate the information?

It should be noted that an expression is simply used to show the relationship between the variables that are illustrated.

From the information, Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Therefore, to make 5 servings, he will need half of the carrots and potatoes. This will be 2 carrots and 1 potatoe.

Therefore, to make 15 servings, the total needed will be;

= (4 + 2 carrots) as (2 + 1 potatoes)

= 6 carrots and 3 potatoes

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Segment AB has endpoint A at (0,0). The midpoint of segment AB is located at (5,3). What are the coordinates of endpoint B? A. (10, 6) B. (6, 10) C. (2.5, 1.5) D. (1.5, 2.5)​

Answers

The coordinates of endpoint B is B( 10, 6).

What is coordinates?
A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates. The coordinates' order is important, and often they are recognised by their place in an ordered tuple or by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, although they could instead be complex numbers or components of a more abstract system, such a commutative ring.

Let the coordinate at point B be B( x,y )

given that A(0,0) and the midpoint of the line AB is (5,3).

We know the mind point formula:

midpoint = ( x2 + x1 / 2 , y2 + y1 / 2)

Therefore according to the question,

B(5 = x + 0 / 2  ,  3 = y + 0 / 2)

B( 10, 6)

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two people start from the same point. one walks east at 4 mi/h and the other walks northeast at 5 mi/h. how fast (in mi/h) is the distance between the people changing after 15 minutes? (round your answer to three decimal places.)

Answers

The change in distance between the two after 15 minutes is 3.566 mi/h

Velocity is defined as the rate of change in displacement (distance) with time. It's a vector quantity so it has both magnitude and direction. Velocity is given by the formula:

Velocity = distance / time

If one walks east at 4 mi/h and the other walks northeast at 5 mi/h, then after 15 minutes, their distance are:

distance = velocity * time

distance₁ = 4 mi/h (15 mins)(1 hour/60 mins)

distance₁ = 1 mile east

distance₁ = 5 mi/h (15 mins)(1 hour/60 mins)

distance₁ = 1.25 mile northeast

Using trigonometric function and Pythagorean theorem, we can determine the distance between the two people. (Refer to the attached picture.)

d² = (1.25 sin 45°)² + (1.25 cos 45° - 1)²

d² = 0.795

d = 0.891 mi

After 15 mins, the distance is 0.891 mi and the change in distance in mi/h is

(0.891 mi / 15 mins)(60 mins / hour) = 3.566 mi/h

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Edge proof would be amazing and I will give brainliest for it!

Answers

Answer: The answer is B.

Step-by-step explanation: The scale on the y-axis could be changed to 100–120.

Please help me. I am not very good at math.

Answers

Answer: Did you get the help you needed?

Step-by-step explanation:

What percent of 16 is 10?
[?]%
Remember to write your answer in
percent form!

Answers

well, is really "x", now, if we take 16 to be the 100%, what is 10 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 10& x \end{array} \implies \cfrac{16}{10}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{8}{5}=\cfrac{100}{x}\implies 8x=500\implies x=\cfrac{500}{8}\implies x=62.5[/tex]

4 to the power of minus 1

Answers

The answer: -1

I hope this helps!

Answer:

4^-1 = 0.25

Step-by-step explanation:

The figure below is dilated by a factor of 4/3 centered at the origin.Plot the resulting image.

Answers

The coordinates after dilation is

(-4 , 8) (0, 4) (-4, 4)

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given coordinates of triangle (-3, 6), (0, 3) and (-3, 3)

As, the figure dilated by factor 4/3

Then the coordinates after dilation is

(-3 x 4/3, 6 x 4/3) = (-4 , 8)

(0 x 4/3, 3 x 4/3) = (0, 4)

(-3 x 4/3, 3 x 4/3) = (-4, 4)

Hence, the coordinates are:

(-4 , 8)(0, 4) (-4, 4)

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Name Line / Line Segment / RayJul 26, 6:43:31 PM?Name the figure below in two different ways.DSymbol:andO

Answers

For this question, notice that:

This are 3 different ways to name

a plane flying with a constant speed of passes over a ground radar station at an altitude of and climbs at an angle of . at what rate is the distance from the plane to the station increasing one minute later? hint: use the law of cosines.

Answers

the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min

A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing one minutes later?

speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time

mathematically,

(Δd₁) /(Δt₁) = Δs₁

= 14 km/min = (Δd₁) /(Δt₁)

and will are to find the speed after passes the radar

=Δs₂  km/min = (Δd₂) /(Δt₂)

to find distance d₁ and d₂ with respect to angle 45 degree at 4km

sin 45 = opp/hyp = 4/d₁

d₁ = 4/sin45 = 5.66km

tan 45 == opp/adj = 4/d₂

d₂ =4/tan45 =  4km

for one minute increment,

=1 x d₁ x Δs₁ = 1 x d₂ Δs₂

= 1x5.66x14 = 1x 4 xΔs₂

= 79.24 = 4Δs₂

speed =Δs₂ = 19.81km/min

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what is the area of isoceles triangle

Answers

Answer: Area= [tex]\frac{bh_{b} }{2}[/tex]

Example:

Let the base be 3 and the height([tex]h_{b\\}[/tex]) 4

So,

Area= [tex]\frac{3*4}{2\\}[/tex]-->[tex]\frac{12}{2}[/tex]=6

Which symbol creates a true sentence when x = 6?

12 ÷ x + 2x ____ 12 ÷ (x + 2x)

Responses


=

>

Answers

A symbol that creates a true sentence for x = 6 is '>' i.e.,

12 ÷ x + 2x > 1 2 ÷ (x + 2x)

In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)

We need to select a correct symbol that would create a true sentence when x = 6.

Consider an expression 12 ÷ x + 2x for x = 6.

= 12 ÷ 6 + 2(6)

= 2 + 12

= 14                              ...................(1)

Consider an expression 12 ÷ (x + 2x) for x = 6

= 12 ÷ (6 + 2(6))

= 12 ÷ (6 + 12)

= 12 ÷ 18

= 0.67                               ...................(2)

From (1) and (2),

14 > 0.67

Therefore, a symbol that creates a true sentence for x = 6 is '>'

i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)

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Juliet brought 506 strawberries and watermelon. A few day later, she found that 1/3 or the strawberries and 10 watermelon were rotten. The remaining number of strawberries and watermelon were in the ratio of 2:1. How many strawberries were rotten?

Answers

Answer:

168 straberries was rotten

Step-by-step explanation:

Archimedes drained the water in his tub.
The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed.

How fast did the water drain?
Choose one answer:
A. 72 liters per minute
B. 74 liters per minute
C. 76 liters per minute
D. 78 liters per minute

Answers

Based on the amount of water in the tub that Archimedes is draining as a function of time, the rate that the water drains is A. 72 liters per minute

How to find the rate of water drainage?

The speed that the water drained is the same as the slope of the line. That slope can be found by the formula:

= Change in y / Change in x

Pick two points from the line;

(0, 360) and (5, 0)

The slope is:
= (0 - 360) / (5 - 0)

= -360 / 5

= - 72

This means that every minute, Archimedes  would have drained the water by 72 liters.

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you take out a loan for $702 at an annual interest rate of 6% compounded quarterly for 2 years what is the total amount that you will have at the end of the two-year

Answers

you take out a loan for $702 at an annual interest rate of 6% compounded quarterly for 2 years what is the total amount that you will have at the end of the two-year ​

we know that

The compound interest formula is equal to

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the total amount at the end of two years

P is the loan

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$702

r=6%=6/100=0.06

t=2 years

n=4

substitute the given values in the formula

[tex]\begin{gathered} A=702\cdot(1+\frac{0.06}{4})^{4\cdot2} \\ A=702\cdot(1.015)^8 \\ A=\$790.80 \end{gathered}[/tex]

therefore

the answer is

$790.80


What is the value of -3 + |-17|?

Answers

Answer:

|-17| = 17, so -3 + |-17| = -3 + 17 = 14

 I REALLY NEED HELP WITH THIS!!

Determine the angles of a rotation

A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise


is 2 correct answers ❗️ 

Answers

An angle of rotation is the measure of the amount that a figure is rotated about a fixed point called a point of rotation.

Explain the angles of a rotation?Movement in circles is rotation. The daily rotation of the Earth about its axis is an example of a rotation, which is the movement of something through one full circle. [ + of] Alternative Words: wheel, revolving, revolution more words for rotationAngle of rotation =m = m is the product of the number of central angles and the measure of a single central angle to get the angle of rotation between two points or vertices.The definition of the direction of a rotation in a plane in terms of the rotation's angle. The rotation will move counterclockwise if the angle of rotation is positive. The rotation will move counterclockwise if the angle of rotation is negativeThe angle of a rotation is 90 clockwise

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what is the acceleration of a motorcycle moving on a straight path when the speed goes from 0 to 70 miles per hour in 5 seconds?

Answers

Answer: 14 mile/s2

Step-by-step explanation:

If the parent function f(x)=|x| is transformed to g(x)=|x|+4 what transformation occurs from f(x) to g(x)

Answers

For the transformation of parent function f(x)=|x| to the  g(x)=|x|+4, the transformation occurred is 4 units upward.

What is method to obtain a new function from parent function?Assume we have a parent function y=f (x). By simply bringing some constant c, one can generate a new function y=g(x) from parent function. The addition of such a constant alters the parent function's behavior, resulting in shifting, reflecting, extending, or reducing its graph. From that, we can claim that a new function evolves with different properties (such as domain as well as range) than the original function.

The function transformation / translation principles are as follows: f (x) + b raises the function b units.

f (x) + b shifts a function b units upward.f (x) − b shifts a function b units downward.f (x + b) shifts a function b units to the left.f (x − b) shifts a function b units to the right.−f (x) reflects a function in x-axis (that is, upside-down).

The given parent function is; f(x)=|x|

The transformed function is; g(x)=|x|+4

Thus, from the 1st rule of the transformation we can say that the function has shifted 4 units to upward.

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Which points are solutions to the system of inequalities shown below?
Check all that apply.
y> x+1
y> 3
Xx<5

Answers

Answer:

.- El complemento de un ángulo nulo es el ángulo recto. 2.- El complemento de un ángulo recto es un ángulo nulo. 3.- El suplemento de un ángulo recto es otro ángulo recto. 4.- El suplemento de un ángulo obtuso sería lo que le falta para llegar a 180.

Step-by-step explanation:.- El complemento de un ángulo nulo es el ángulo recto. 2.- El complemento de un ángulo recto es un ángulo nulo. 3.- El suplemento de un ángulo recto es otro ángulo recto. 4.- El suplemento de un ángulo obtuso sería lo que le falta para llegar a 180.

Helpppppppppppppppppp

Answers

Answer:

see explanation

Step-by-step explanation:

a

the error she has made is in cancelling the values in the denominators.

When cancelling fractions, this is performed between values on the numerator with values on the denominator.

correct result is

[tex]\frac{1}{15}[/tex] × [tex]\frac{3}{5}[/tex] ( cancel the 3 and 15 by 3 )

= [tex]\frac{1}{5}[/tex] × [tex]\frac{1}{5}[/tex]

= [tex]\frac{1}{25}[/tex]

--------------------

b

as an estimate, multiply the numerators and denominators, that is

[tex]\frac{1(3)}{15(5)}[/tex] = [tex]\frac{3}{75}[/tex] = [tex]\frac{1}{25}[/tex]

PLEASE HELP FAST ILL GIVE BRAINLIEST!

Answers

Answer:

160

Step-by-step explanation:

360-170-30=160 subtract all angles from 360

Answer:

140°

Step-by-step explanation:

oh, come on, this is like "you have 8 apples as a mixture of red and green apples. 5 apples are red, how many are green ?".

it is the same here.

the total angle is 170°.

now we know a part of it is 30°.

how large is the rest ?

well, it is 170 - 30 = 140°

Mai wants to make an open-top box by cutting out the corners of a square piece of cardboard and folding up the sides. The cardboard is 10 centimeters by 10 centimeters. The volume () in cubic centimeters of the open-top box is a function of the side length in centimeters of the square cutouts.


Write an expression for ().



What is the volume of the box when =3?

Answers

The quantity of space inside a form is measured by its volume.
The volume as a function of side length(x) is: V(x) = 4x³ - 40x² + 100x

What is volume functions?
A three-dimensional space's volume can be calculated. It is frequently quantified numerically by different imperial units or SI-derived units. Volume and length have a mutually reliant relationship.

Given, length of the cardboard = 10 units
Width of the cardboard = 10 units
When side length(x) is removed from the cardboard, the dimension of the box becomes:
Length of the new cardboard = (10 - 2x) units
Width of the new cardboard = (10 - 2x) units
Height of the new cardboard = x units
Therefore, volume of the new cardboard box, V(x)
= Length*Width*Height
= x*(10 - 2x)*(10 - 2x) cubic units
= 100x² - 20x² - 20x² + 4x³
= 4x³ - 40x² + 100x

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