Mathematics High School

4. Find the quotient. -7 ÷ 14/3​

Answers

Answer 1
As an improper fraction this is equal to -3/2

As a mixed number, this is -1 and 1/2

As a decimal this is -1.5
4. Find The Quotient. -7 14/3
Answer 2
as a Improper fraction that is equal to
-3/2
As a mixed number this is -1 1/2
as a decimal this is - 1.5

Related Questions

Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?

Answers

Answer:

y = -6/x

Step-by-step explanation:

Inverse variation equation:

y = k/x, where k - coefficient

We have:

x = 6, y = -1

Work out the value of k by substituting the values of x and y:

-1 = k / 6k = -1*6k = -6

The equation is:

y = -6/x

Answer:

y = -6/x

Step-by-step explanation:

y varies inversely as x

So, y = k/x, where k is the constant of proportionality.

If y = -1 when x = 6,

Then, -1 = k/6 ===> k = -6

Therefore, y = -6/x

help me pleaseeeeeee

Answers

it’s b

it has to be 20 c long … kskdhdhiIakakkwdydyxiajajshsuuaisudj

PLEASE HELP ASAP -- WITH THE WORKK

50 points

Answers

Part-A:-

(f×g)=

[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]

[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]

[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]

Now

[tex]\\ \sf\longmapsto (f.g)(3)[/tex]

[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]

[tex]\\ \sf\longmapsto -72+144+560[/tex]

[tex]\\ \sf\longmapsto 72+560[/tex]

[tex]\\ \sf\longmapsto 632[/tex]

Part-B:-

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]

[tex]\\ \sf\longmapsto 9+9-70[/tex]

[tex]\\ \sf\longmapsto 18-70[/tex]

[tex]\\ \sf\longmapsto -52[/tex]

Now

[tex]\\ \sf\longmapsto g(f(3))[/tex]

[tex]\\ \sf\longmapsto g(-52)[/tex]

[tex]\\ \sf\longmapsto 4(-52-3)[/tex]

[tex]\\ \sf\longmapsto 4(-55)[/tex]

[tex]\\ \sf\longmapsto -220[/tex]

Part:-C

[tex]\\ \sf\longmapsto g(-2)[/tex]

[tex]\\ \sf\longmapsto 4(-2-3)[/tex]

[tex]\\ \sf\longmapsto 4(-5)[/tex]

[tex]\\ \sf\longmapsto -20[/tex]

Now

[tex]\\ \sf\longmapsto f(g(-2))[/tex]

[tex]\\ \sf\longmapsto f(-20)[/tex]

[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]

[tex]\\ \sf\longmapsto 400-60-70[/tex]

[tex]\\ \sf\longmapsto 400-130[/tex]

[tex]\\ \sf\longmapsto 270[/tex]

Part-D:-

g×f=f×g

[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]

[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]

[tex]\\ \sf\longmapsto 32-96+560[/tex]

[tex]\\ \sf\longmapsto -64+560[/tex]

[tex]\\ \sf\longmapsto 496[/tex]

Mike weights 200 pounds and plans to lose 1.5 pounds a week. Jeff weights 180 pounds and plans to lose 0.5 pounds a week. When mike and Jeff weigh the same?

Answers

they will weigh the same at 11.5 weeks

Answer:

20 weeks

Step-by-step explanation:

200-1.5w=180-0.5w

You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.

find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1

no spam plz fast

Answers

Make y the subject of the curve equation
y = -1/(2x)
Substitute for y in the line equation
2x +3(-1/2x) + 2 = 0
Multiply every term by 2x
4x^2 - 3 + 4x = 0
4x^2 + 4x - 3 = 0
(2x - 1)(2x + 3) = 0
If 2x - 1 = 0 then
2x = 1
x = 1/2
y = -1/(2 x 1/2) = -1

If 2x + 3 = 0 then
2x = -3
x = -1.5
y = -1/(2 x -1.5) = -1/3

The points of intersection are (1/2, -1) and (-1.5, -1/3)

Sorry about the mixture of fractions and decimals ;)

The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of lines are,

⇒ 2x + 3y + 2 = 0

⇒ 2xy = - 1

Now,

Since, The equation of lines are,

⇒ 2x + 3y + 2 = 0  ..(i)

⇒ 2xy = - 1   ..(ii)

From (ii);

⇒ 2xy = - 1

⇒ x = - 1/2y

Put above value in (i), we get;

⇒ 2 × - 1/2y + 3y + 2 = 0

⇒ - 1/y + 3y + 2 = 0

⇒ - 1 + 3y² + 2y = 0

⇒ 3y² + 2y - 1 = 0

⇒ 3y² + 3y - y - 1 = 0

⇒ 3y (y + 1) - 1 (y + 1) = 0

⇒ (3y - 1) (y + 1) = 0

⇒ y = 1/3

And, y = - 1

So, The value of x is,

⇒ x = - 1/2y

⇒ x = - 1/2 × - 1

⇒ x = 1/2

And, x = - 1/2 × 1/3

⇒ x = 1/6

Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)

Learn more about the substitute method visit:

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combine like terms and simplify. 7(3y-5)-2(10+4y)

Answers

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

what's the Answer ?

[tex] \sqrt{ \dfrac{225}{9} } [/tex]
​

Answers

Answer:

Solution given;

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]

[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]

[tex]\dfrac{15}{3}[/tex]

=5

Answer:

First, simplify the content under root:

[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]

Now, use the following identity:

[tex]\sqrt{a^2} = |a|[/tex] = ± a

Last, we get:

√25 = √5² = ± 5

(
Solve this equation for p:
P+1 / 2 = 3p+7/5

Answers

Answer:

p = -10

Step-by-step explanation:

[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions

6p + 14 = 5p + 5

6p - 5p = 5 - 15 subtract like terms

p = - 10

calculate the amount of ₹30000 at the end of 2 years 4 months , compounded annually at 10% per annum​

Answers

Fv= 30,000 *(1+10%/12)^(2*12+4)
Fv = 30,000*(1+10%/12)^28
Fv= 37,847.46

Plz HELPPPPPPP!!!!!!!!!!

Answers

Do you what explanation?

please answer this question for me. please help.​

Answers

19 divided by 2 is 9.5 meaning both are 9.5 so 9.5x9.5-9.5=80.75 so that should be ur answer also another way to know if the shape are 9.5 u can multiply9.5x4 and it gives u 38 (we multiply by four cuz that’s how many shapes u have)

For what value of w is 4w = 2w - 8 ?

Answers

Answer:

w= -4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

w is -4

Step-by-step explanation:

[tex]4w = 2w - 8[/tex]

make w the subject:

[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]

divide all sides by 2:

[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]

by selling a cycle for rs 2250 ,the man loses rs 50 ,at what prize he sell to make a profit of rs 80?​

Answers

Answer:

SELLING PRICE OF CYCLE = 2250RS

LOSS MAN SUFFERED = 50RS

Step-by-step explanation:

COST PRICE = SP + LOSS

CP = 2250 + 50

CP = 2300 RS

FORMULA OF PROFIT = SP - CP

TO MAKE PROFIT OF 80 RS

80 = SP - 2300

 SP = 2380 RS

HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs

                                          Thank you

                           PLEASE MARK AS BRAINLIEST

Answer:

rs 2380

Step-by-step explanation:

→ Add rs 50 to the selling price to not make a profit or loss

2250 + 50 = 2300

→ Add rs 80 to the answer above

80 + 2300 = 2380

the sum of two numbers is 17 and their differance is 3

Answers

Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

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

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

Which set of numbers are imaginary numbers?

Answers

Answer:

Step-by-step explanation:

Imaginary. Imaginary numbers are numbers whose squares are negative. They are the square root of minus one, i = √−1, and all real number multiples of i, such as 2i and i√2.

The required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

To determine from the options the set of imaginary numbers.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
imaginary number are the number such square root of negative numbers,
So, the set of imaginary numbers is  √-1, √-4, √-5.
While all other set are given are not set of imaginary numbers.

Thus, the required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

Learn more about the number system here:

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What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?

Answers

Answer:

p(x,y)= (2,3)

Step-by-step explanation:

i have used partition formula in the pic below. If there is any question you can ask me in comment.

6 + 4w = 2w − 6
Solve for W

Answers

Answer: w= -6

When we subtract 2w from both sides we get 2w on the left and 0 on the right. The equation becomes 6+2w=-6. Then we subtract both sides by 6 making it 2w=-12 and when we divide each side by 2 we get w=-6

Answer:

W=-6

Step-by-step explanation:

6+4w=2w-6

Collect Terms

4w-2w=-6-6

2w=-12

now divide both sides by 2

2w/2=-12/2

w=-6

PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST ​

Answers

Answer:

OPTION A:0.85M+2.50.

Step-by-step explanation:

SEE IMAGE FOR SOLUTION

Evaluate the expression

Answers

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

what is 3/4 x 3 + 2/4 + 1 = ????

as a whole number

Answers

Answer:

3/4×3 = 2.25

2/4×1= 0.5

Step-by-step explanation:

how it helps u

A shirt and pants have a combined cost of 78 dollars. The shirt costs 15 dollars less then the pants. How much does each item cost

Answers

Answer:

The shirt is $31.50 and the pants are $46.50

Step-by-step explanation:

Let x represent the cost of the pants.

If the shirt is 15 dollars less than the pants, its cost can be represented by x - 15.

Create an equation, and solve for x:

(x) + (x - 15) = 78

2x - 15 = 78

2x = 93

x = 46.5

So, the pants are $46.50.

Subtract 15 from this to find the cost of the shirt:

46.50 - 15

= 31.50

The shirt is $31.50 and the pants are $46.50

Sara can travel 23 feet in 11 hours. please calculate Saras speed rate of speed

Answers

Answer: The answer would be 2.09 feet per hour

Step-by-step explanation:

Divide 23ft by 11 which gives us 2.09ft.

there for the answer is 2.09 feet.

to double check, multiply 2.09 by 11 which will give 22.99 which is close to 23 feet.

PLEASE HELP ME WITH THIS GEOMETRY ASSIGNMENT!! WILL GIVE BRAINLIEST ANSWER!!!!!

Answers

Answer:

im pretty sure your answer is correct :)

Step-by-step explanation:

Answer:

line [tex]l[/tex]

The length of JM is 9.

Step-by-step explanation:

Since JM ≅ MK then we can form the following:

[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]


HELP!! WILL MARK AS BRAINLIEST!!!

On an airplane, the passengers may have chicken, vegetable or tomato soup
Half of the passengers choose chicken soup
A third of the passengers choose tomato soup.
(a) What fraction of the passengers choose vegetable soup?
There are 240 passengers on the airplane.
(b) How many passengers choose vegetable soup?

Answers

Answer:

1/6 and 40

Step-by-step explanation:

for 1/6 you can get the answer by getting 1/2 chicken = 3/6 then 1/3 tomato soup = 2/6 and you have 1/6 left which will be the answer.

For the number of people, 1/6 is equal to 40 because 240 divided by 6 equals 40

Pamella late for school 10% of time. Richard late for 15% of the time.
a) What percentage are they both late?
b) What is the probability only one of them is late?​

Answers

Answer:

a) 25%

10%+15% = 25%

b) doesn't have any idea

Write a variable expression to represent the phrase. The difference of a number and 1

Answers

Answer:

[tex]x-1[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

The difference of a number and 1

⇒ [tex]x-1[/tex]

I hope this helps!

4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast​

Answers

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

midpoint (10,5), endpoint (4, - 1)

Answers

Answer:

M=(7,2)

Step-by-step explanation:

M=(10+4/2,5+-1/2)

M=(7,2)

The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?

Answers

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]

[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]

[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]

[tex] \hookrightarrow \: y = 6x + 1[/tex]

hence, measure of the third side is 6x + 1

Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.

What will your final grade be if your homework average is 60, you quiz average is 70, and your test average is 95?

Answers

Answer:

Your final grade will be 77%

Step-by-step explanation:

40% will be from your test average which is 95

30% will be from your homework average which is 60

30% will be from your quiz average which is 70

Calculating based on these weights:

(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%

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