The sum of two integers is (-32). Their quotient is 7. What are the integers?

Answers

Answer 1
Answer:  -28 and -4

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

Explanation:

Let x and y be the two integers such that |x| > |y|. This is another way of saying that x is further away from 0 compared to y.

Their quotient being 7 means x/y = 7 which rearranges to x = 7y

The sum of the integers is -32 which allows us to say....

x+y = -32

7y+y = -32

8y = -32

y = -32/8

y = -4

Use this y value to find x

x = 7y

x = 7*(-4)

x = -28

The two integers are -28 and -4.


Related Questions

In the number 9663 which places contain digits where one dogit is 10 times as great as the other?

Answers

Answer: Hundreds and tens place values (the two copies of '6')

Explanation:

We're looking for where the digits are the same, which would be those two copies of '6'

The first 6 on the left is in the hundreds place. It represents 600

The other 6 is in the tens place, and it represents 60

The jump from 60 to 600 is "times 10".

If d= the number of dogs ,which variable expression represents the phase below? The sun of the number of dogs and the 6 cats

Answers

Answer:

d + 6

Step-by-step explanation:

Given that :

Number of dogs = d

The sum of the number of the number of dogs and 6 cats is :

This is a straightforward question :

We take the sum of d and 6

Hence, we have

d + 6

Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)

x + y = 0, x = -0, y = 0

0 Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these

Answers

None of these because they all are 0

[tex]x + 0.25 = -0.25[/tex]

Answers

Answer:

x = -0.5

Step-by-step explanation:

x + 0.25 = -0.25

x = -0.25 - 0.25

x = -0.5

"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way

Answers

y = 3x ^ 2 + 6x- 12  

(a=3; b=6; c= -12)

• Ta có Δ=b^2 -4ac

             = 6^2 -4*3*( -12)

             =180

• X= (-b+√Δ)/2a

              ≈ 3.2

• X= (-b-√Δ)/2a

 ≈ -3.2

Khi đó: y= 948/25

       Và: y= -12/25

Vậy : A(3.2: 948/25)

       B(-3.2; -12/25)

Step-by-step explanat bion :

14. PLEASE HELP ME
Which of the quadratic functions has the narrowest graph?

A. y= 1/8x2

B. y= 1/6x2

C. y= -x2

D. y= 2x2

Answers

Answer:

D. y= 2x2

Step-by-step explanation:

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is  

y = 2x^2

B <<< answer.

Given: We are given equation of parabola ans to choose narrowest graph.

Parabola form narrowest and widest.

Larger value of a most narrowest graph.

Smaller value of a most widest graph.

Now, we will see the coefficient of x²

Now, we arrange the value of a in descending order.

2 is largest value of these.

Hence, The narrowest graph is  

there are 2 more pictures i have to upload but it won't let me

HELP ASAP PLEASEEEEEEEEE

Answers

16 is the correct answer I believe because the double negative is canceled out.
The answer is 16 because if you subtract a negative number it becomes positive

What is the slope of a line that is perpendicular to the line whose equation is
y= 4x – 3?

Answers

Answer:

-1/ 4

Step-by-step explanation:

y = 4x-3  has a slope of 4 because the equation is in slope intercept form

y = mx+b where the slope is m

Perpendicular lines have slopes that are negative reciprocals

-1/ 4 is the slope of a line that is perpendicular to y = 4x-3

GIVING BRAINLY TO CORRECT ANSWER!!

Answers

Answer:

7/0

Step-by-step explanation:

7/0 = 7

A rational number is written in the form of p/q, where q is not equal to zero. Therefore it is not a rational number.

I hope this answer helps you out! Brainliest would be appreciated :)

Answer:

7/0

Step-by-step explanation:

a irrational can not be written as a fraction

Given the mean of a random variable, X, is 10 and P(X < 11) = 0.67. Find the standard deviation.

Answers

Answer:

Step-by-step explanation:

This is the problem we need to solve:

[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex] and we have everything but the z-score (which we find from a table) with our main unknown being the standard deviation.

If the probability that a random variable that is less than 11 is .67, we first have to find the z-score from the table that is closest to .67, and there are 2:

P(z < .43) = .66640 and P(z < .44) = .67003

We'll use z = .44

[tex].44=\frac{11-10}{\sigma}[/tex] and

[tex].44=\frac{1}{\sigma}[/tex] and

[tex]\sigma=\frac{1}{.44}[/tex] so

σ = 2.27 (check it; it works!)

Help what is x
When x^5 is 225

Answers

Answer:

Solution given:

x^5=225

we have

x=[tex] \sqrt[5]{225} [/tex]

x=2.9541

Hello!

[tex] \bf {x}^{5} = 225[/tex]

Extract the radical on both sides of the equation.

[tex] \bf x = \sqrt[5]{225} [/tex]

[tex] \bf x ≈2.95418[/tex]

Answer: x 2,95418

Good luck! :)

Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?

Answers

Answer:

4 :45 pm

Step-by-step explanation:

2 : 20 + 17 minutes = 2:37

2:37 + 1hr 1 minute  = 3 : 38

3 : 38 + 1 hr 7 = 4 :45 pm

I need the answer ASAP
1. Add Area (Split the shape up to two or more known
shapes first)
12.5 ft
11.6 ft
19.2 ft
16.7 ft

Answers

Answer:

Step-by-step explanation:

The shape cam be split into a triangle and a trapezoid

✔️Area of the trapezoid = ½(a + b)h

Where,

a = 12.5 ft

b = 16.7 ft

h = 11.6 ft

Plug in the values

Area of the trapezoid = ½(12.5 + 16.7)*11.6

Area of trapezoid = 169.36 ft²

✔️Area of the triangle = ½*b*h

b = 16.7 ft

h = 19.2 - 11.6 = 7.6 ft

Area of the triangle = ½*16.7*7.6

= 63.46 ft²

✔️Area of the shape = 169.36 + 63.46

= 232.82 ft²

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.

A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9.7, 9.5, 9.5, 9.0, 8.9, 8.9, 8.5, 8.4, 8.2, 7.0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250.

How does the word count of an essay relate to its score in the contest?

Word count tends to decrease as the score decreases.
Word count tends to increase as the score decreases.
Word count tends to remain constant as the score decreases.
Word count has no apparent relationship to the score of the essay.
Unmark this question

Answers

Answer:

The word count tend to decrease as the score decreases

Step-by-step explanation:

The 3-row table is presented as follows;

[tex]\begin{array}{ccc}Essay \ Rank&Essay \ Score&Word \ Count\\1&9.7&324\\2&9.5&352\\3&9.5&337\\4&9.0&318\\5&8.9&299\\6&8.9&304\\7&8.5&290\\8&8.4&291\\9&8.2&278\\10&7.0&250\end{array}[/tex]

The relationship between the values on the Word Count column and the values on the Essay Score column is that as the Essay Score decreases from the top down to the last row, the values on the Word Count generally decreases in the same manner (top down decrease)

Therefore, the Word Count decreases as the Essay Score decreases.

If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble What is the probability of picking 1 blue marble and 1 green marble?

(Once a marble is chosen it is NOT put back into the box).

(Write your answer in the form of a decimal, round to 2 places).

Answers

Answer:

total number of marble=22

probability of picking 1 blue marble= 1/22

=45×10^-2

probability of getting a green ball= 5/21

= 238×10^-3

fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .​

Answers

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
14 units
VX
0 38 units
3x - 1
44 units
2x + 2
49 units
D
2y + 6
С

Answers

Answer:

3rd option, 44 units

Step-by-step explanation:

3x-1 = 2x+2

or, x = 3

so each side, 3×3-1 = 8

4y-2 = 2y+6

or, y = 4

so each side, 4×4-2 = 14

so perimeter

= 2(8+14)

= 44 units

Answered by GAUTHMATH

What is the length of the dotted line in the diagram below? Round to the nearest tenth. *Will mark brainliest*

Answers

Answer:

The dotted line is 4.9

Step-by-step explanation:

The lower triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse

2^2 + 4^2 = c^2

4+16 = c^2

20 =c^2

Taking the square root of each side

sqrt(20) = c

The upper rectangle has a length of sqrt(20) and a height of 2

We can use the  Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse  to find the  diagonal

2^2 + (sqrt(20))^2 = c^2

4+20 = c^2

24 = c^2

Taking the square root of each side

sqrt(24) = c

4.898979486=c

Rounding to the nearest tenth

4.9 =c

please help!! will give brainliest

Answers

Answer:

In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.

So there are a total of 11 animals (5+6).

The first animal can be placed in 11 places.

The second animal can be placed in 10 places.

The third animal can be placed in 9 places.

.

.

.

The eleventh animal can be placed in 1 place. (the last spot, whatever that is)

So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.

Let me know if this  helps!

find the missing length indicated​

Answers

Answer:

240

Step-by-step explanation:

We are given a right triangle. Based on the leg rule, the following equation shows how the length of a leg in a right triangle relates with the segments connected to the hypotenuse:

Hypotenuse/leg = leg/part

Where,

Hypo = 400

Leg = x

Part = 144

Substitute

400/x = x/144

Cross multiply

400*144 = x*x

57,600 = x²

√57,600 = x

240 = x

x = 240

Which of the following expressions is equal to -12 ?
a.-15 - 3
b. -3 - (-9)
c. 5 - 17
d. -6 - (-6)

Answers

Answer:

c. 5 - 17

Step-by-step explanation:

a. -15 - 3 = -18

b. -3 - (-9) = 6

c. 5 - 17 = -12

d. -6 - (-6) = 0

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Option A. \boxed{\bf \downarrow}}[/tex]

[tex]\huge\textsf{- 15 - 3}\\\huge\textsf{= -15 + (-3)}\\\huge\textsf{= \bf -18}\\\boxed{\huge\textsf{\bf -18 \boxed{\neq} -12}}\\\bullet\huge\text{ \bf Option A. cannot be your result.}[/tex]

[tex]\huge\text{Option B. }\boxed{\downarrow}[/tex]

[tex]\huge\textsf{-3 - (-9)}\\\huge\textsf{= -3 + 9}\\\huge\textsf{= \bf 6}\\\boxed{\huge\textsf{\bf 6 \boxed{\neq} -12}}\\\bullet\huge\text{\bf Option B. cannot be your result.}[/tex]

[tex]\huge\text{Option C. \boxed{\downarrow}}[/tex]

[tex]\huge\textsf{5 - 17}\\\huge\textsf{= 5 + (-17)}\\\huge\textsf{= \bf -12}\\\boxed{\bf -12 \ \boxed{=} -12}\\\huge\text{\bf Option C. could be the result.}[/tex]

[tex]\huge\text{Option D. \boxed{\downarrow}}[/tex]

[tex]\huge\textsf{-6 - (-6)}\\\huge\textsf{= -6 + 6}\\\huge\textsf{= \bf 0}\\\boxed{\bf 0 \ \boxed{\neq} -12}\\\huge\text{\bf Option D. cannot be your result.}[/tex]

[tex]\boxed{\huge\textsf{Answer: \bf Option C. \underline{\underline{5 - 17}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge \boxed{\frak {Amphitrite1040:)}}}[/tex]

please help asap don't give me the wrong answers.​

Answers

Answer: 340cm^

Step-by-step explanation:

you have to multiply them to find out

James wants to tile his floor using tiles in the shape of a trapezoid. To make the pattern a little more interesting he has decided to cut the tiles in half along the median. The top base of each tile is 12 inches in length and the bottom base is 16 inches. How long of a cut will John need to make so that he cuts the tiles along the median? O A. 2 inches B. 4 inches O C. 14 inches O D. 28 inches​

Answers

Answer:

Choice C. 14 inches

Step-by-step explanation:

Middle between 12 and 16 inches.

The graph of the function f(x) = (x + 2)(x - 4) is shown. Which describes all of the values for which the graph is negative and increasing?

all real values of x where x < -2
all real values of x where -2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0​

Answers

Answer:

C. All real values of x where 1 < x < 4

Step-by-step explanation:

The function is negative below the zeros which would be from -2 to 4.

It would be increasing from the vertex which is 0 to 4.

Therefore, C makes the most sense out of all the choices.

Answer:

C was correct

Step-by-step explanation:

Find the slope of the line that passes through (2, 18) and (9, 9).

Answers

Answer:

m=-9/7

Step-by-step explanation:

Point Q is located at (-4, 6). Point R is located at (8, 6).
What is the distance from point Q to point R?

Answers

Step-by-step explanation:

Hi there!

Given;

Point Q is located at (-4, 6). Point R is located at (8, 6).

Note: Use distance formula.

Now;

[tex](d) = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Keep all values;

[tex](d) = \sqrt{ {(8 + 4)}^{2} + ( {6 - 6)}^{2} } [/tex]

Simplify;

[tex](d) = \sqrt{( {12)}^{2} } [/tex]

Therefore, the distance is 12 units.

Hope it helps!

If n equals 5 and b equals 4 what is n + b * 5​

Answers

Answer:

25

Step-by-step explanation:

Given,

n = 5

and, b = 4

Equation:

n + b × 5

= 5 + 4 × 5

= 5 + 20

= 25 (Ans)

What is the leading coefficient of the polynomial: 5-3x+4x^2

Answers

Answer:

4

Step-by-step explanation:

5-3x+4x^2

Write the terms from highest power to smallest power

4x^2 -3x +5

The leading coefficient is the term in front of the highest power

4

Answer:

4

Step-by-step explanation:

The first step here is to rearrange the terms of this polynomial in descending order:  x^2, then x, then x^0 (nothing that x^0 = 1):

4x^2 - 3x + 5

The "leading coefficient of the polynomial) is the coefficient of the highest x power, which here is x^2:  4.

Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...

I’ll mark brainliest! Please help me

Answers

Ummm it’s kind of easy but this is my way of doing it
Multiples of 4 after continuing 2 digits skip one multiple and continue;-;

Please help me solve this problem fast!!

Answers

Answer:

12.53

Step-by-step explanation:

√(11²+(10-4)²)

= √157

= 12.53 (rounded to two decimal places)

Answered by GAUTHMATH

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