The product of two integers is -160 if one of them is 8 find the other

Answers

Answer 1

Hey ! there

Answer:

Other number is -20

Step-by-step explanation:

In this question we are given that the product of two integers is -160 and one of them is 8 . And we are asked to find the other integer .

For finding the other integer we are assuming ,

Other integer as ' x '

And now we can find other Integer by making equation and solving it .

SOLUTION : -

Equation is :

[tex] \quad \dashrightarrow \qquad \: 8 \times x = - 160[/tex]

or ,

[tex] \quad \dashrightarrow \qquad \: 8x = - 160[/tex]

To isolate the variable x , We are dividing both sides by 8 :

[tex] \quad \dashrightarrow \qquad \: \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{ \dfrac{ - 160}{8} }[/tex]

On simplifying it , We get :

[tex] \quad \dashrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 20}}}} \quad \bigstar[/tex]

Henceforth , the other integer is ❝ -20 ❞.

Verifying : -

Now we are verifying whether our answer is wrong or right by substituting value of x in the equation . So ,

[tex]8 \times x = - 160[/tex]

Substituting value of x :

[tex]8 \times - 20 = - 160[/tex]

Multiplying 8 with - 20 :

[tex] - 160 = - 160[/tex]

[tex] \rm{L.H.S = R.H.S}[/tex]

[tex] \rm{Hence , Verified .}[/tex]

Therefore , of answer is correct .

#Keep Learning

Answer 2

Answer:

The other integer is -20

[tex] \: [/tex]

Step-by-step explanation:

[tex] \: [/tex]

Given,

The product of two integers is -160.

One of the integers is 8

[tex] \: [/tex]

To Find,

The other integer.

[tex] \: [/tex]

Solution,

Let us assume the other integer as x

[tex] \: [/tex]

So, The equation will be :

[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{x \times 8= - 160}}}}} \\ \: \: [/tex]

[tex] \longrightarrow \qquad{ \ {{ { \sf{8x= - 160}}}}} \\ \: \: [/tex]

Now, Let us divide both sides by 8 :

[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{ \frac{8x}{8} = \frac{ - 160}{8} }}}}} \\ \: \: [/tex]

[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{x= - 20}}}}} \: \: \bigstar \: \\ [/tex]

Therefore,

The other integer is -20

Related Questions

A group of friends were working on a student film. They spent $504 on props, which was 42% of their total budget. What was the total budget for their student film?

Answers

the total budget for their film was $1200

Can somebody help me find the area of this composite shape

Answers

Alone, this shape cannot have the area solved in one step. So, you must break it up into multiple pieces.

For this, we can break it up into a rectangle, and a right triangle.

The area formula for a rectangle is [tex]area = l*w[/tex]

The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]

To find the area of the rectangle, multiply 14 * 18 = 252 m^2

To find the length of the triangle, subtract 20 - 14 = 6

To find the height of the triangle, subtract 18 - 11 = 7

So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2

21 + 252 = 273 meters squared

Hope this helps, feel free to ask any questions

- Jeron :)

The radius of the base of a cylinder is 16 cm. The height of the cylinder is 27 cm. Find the surface area and volume of the cylinder.

Answers

Answer:

Step-by-step explanation:

SA/Surface area of cylinder=2πrh+2πr^2

SA=2xπx16x27 + 2xπx16^2

SA=864π + 512π

SA=1376π

SA=4322.83 to 2.d.p

Can someone help! I know the answer I just need step by step!

Answers

Answer:

[tex]4 \sqrt{2}[/tex]

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]

Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]

Rewrite 16 as 4²:

[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]

Apply exponent rule [tex]\sqrt{a^2}=a[/tex]

[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]

Answer:

4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{32}[/tex]

= [tex]\sqrt{16(2)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]

= 4[tex]\sqrt{2}[/tex]

- In the diagram to the right, ma = 65°, and mzd = 123°. What is the measure of zb? a. 8 b. 115 C. 23 d. 57

Answers

The measure of the third angle in a triangle will be 112°.

How to calculate the triangle?

Your information is incomplete. Therefore, an overview will be given.

Let's assume the the angles given in a triangle are 23° and 59°. The third angle will be:

= 180° - (23° + 59°)

= 180° - 82°

= 112°

It should be noted that a triangle has three angles.

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the area of paralellagram is 72 mm whats the height

Answers

The height of the parallelogram whose area is 72 mm² with a base of 9 mm is calculated as: 8 mm.

What is the Area of a Parallelogram?

The area of a parallelogram = base × height of the parallelogram.

Given the following:

Area = 72 mm²Base of parallelogram = 9 mmHeight = ?

9 × height = 72

Height of parallelogram = 72/9

Height of parallelogram = 8 mm.

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Find h(j+1) if h(x)=4x² + 3x - 2

Answers

Answer:

h(j+1) = 4j² +11j +5

Step-by-step explanation:

A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.

For function ...

h(x) = 4x² +3x -2

The value of h(j+1) is ...

[tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]

A student randomly draws a number between 1 and 30. What is the probability that the number drawn is less than 18

Answers

Answer:

25%

Step-by-step explanation:

i have a feeling

Solve for x in the equation below.
Round your answer to the nearest hundredth.
Do not round any intermediate computations.
x-6 = 7
e

Answers

Answer:

x=13

Step-by-step explanation:

X=13 you need to isolate the x so you look at the side with x and think what is being done to x? In this case its having 6 being subtracted so you do the opposite to cancel the 6 from that side and since you do the same to both side you add 6 to both sides and you get your answer 6+7 which = 13 so x=13

PLS HELP!! I THIS IS WORTH 200 PTS!! I WILL MARK BRAINIEST WHEN SOMEONE ANSWERS FIRST

Answers

14)

Expression: 5z² - 2z + 1 = 0

Discriminant formula: b²- 4ac

Identify: a = 5, b = -2, c = 1

Solve for discriminant: (-2)²- 4(5)(1) = 4 - 20 = -16

15)1st equation: 1m - 1p = 2

p = 1 also can be rewritten as 2nd equation: 0m + 1p = 1

Build Augment Matrices by taking coefficient's:

[tex]\left[\begin{array}{ccc}1&-1&|| \ \ 2\\0&1&|| \ \ 1\end{array}\right][/tex]

Solve:

Add row 2 to row 1 : R₁ = R₁ + R₂ and restore it back

[tex]\rightarrow \ \left[\begin{array}{ccc}1+0&-1+1& \ \ \ \ || \ 2+1\\0&1&|| \ \ 1\end{array}\right][/tex]

[tex]\rightarrow \ \left[\begin{array}{ccc}1&0& || \ \ 3\\0&1&|| \ \ 1\end{array}\right] \ \ \ = The \quad reduced \quad matrix[/tex]

Solution = (m, p) = (3, 1)

Answer:

14. -16

15. m = 3 and p = 1

Step-by-step explanation:

Question 14

Discriminant

[tex]b^2-4ac\quad\textsf{when}\quad ax^2+bx+c=0[/tex]

Given equation: [tex]5z^2-2z+1=0[/tex]

Therefore:

a = 5b = -2c = 1

Substituting the values into the discriminant:

[tex]\begin{aligned}\implies b^2-4ac & = (-2)^2-4(5)(1)\\& = 4-20\\& = -16\end{aligned}[/tex]

As the discriminant is negative, this implies there are no real roots.

Question 15

Augmented Matrices

[tex]\begin{array}{c}ax+by=p \\cx+dy=q\end{array} \implies \left[\begin{array}{r r | r}a & b & p \\ c & d & q\end{array}\right][/tex]

Use elementary row operations to convert into:

[tex]\left[\begin{array}{r r | r}1 & 0 & h \\ 0 & 1 & k\end{array}\right] \implies \begin{array}{r}x=h\\y=k\end{array}[/tex]

Given:

[tex]\begin{aligned}m-p & =2\\ p & = 1\end{aligned} \implies \left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right][/tex]

[tex]\left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right] \begin{array}{c}R_1 + R_2 \rightarrow R_1 \\\rightarrow\end{array} \left[\begin{array}{r r | r}1 & 0 & 3 \\ 0 & 1 & 1\end{array}\right][/tex]

Therefore:

[tex]m=3[/tex]

[tex]p=1[/tex]

What is the measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

Answer:

22.62 degrees

Step-by-step explanation:

Right triangle

you can pick cosine or sine to calculate angle r

sin r = opposite leg/ hypotenuse = 5/13

arcsin(5/13) = 22.62 degrees

cos r = 12/13

r = arccos(12/13) = 22.62 degrees

A survey was conducted for school students in a city to find out the
favorite games of the students .49000 students were participated in the
survey. It was found that 2
7
of the students liked football, 4
7
of the students
liked cricket and the rest liked hockey.
Read the passage carefully and answer the following questions:
i) How many students liked football?
a) 14000 b) 28000 c) 7000 d) 9000
ii) How many students liked cricket?
a) 4000 b) 28000 c) 7000 d) 10000
iii) What fraction of the students liked hockey?
a)3
7
b) 1
7
c) 2
7
d) 6
7

iv) How many more students liked football than hockey?
a) 6000 b) 5000 c) 14000 d) 7000

Answers

2
7
What do you mean by this?

Graph a line to represent the linear equation y=54x−4.

Answers

Answer:

yes it represents it because the linear equation

A salesperson earns a commission of $589 for selling $3100 in merchandise. Find the commission rate. Write your answer as a percentage.

Answers

Answer:

19 %

Step-by-step explanation:

589 is what percetage of 3100?

589 / 3100 * 100 % = 19%

Answer:

19%

Step-by-step explanation:

589 = x% of 3100?

589 / 3100 * x/100= 19%

Hopefully this helped you, and have a good day!

Which quadrilateral always has diagonals that are congruent but not necessarily perpendicular.

Answers

Step-by-step explanation:

a trapezoid.

the 2 sides on the left and the right are equal (congruent), and so are the diagonals.

but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).

Define relation in math

Answers

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

Step-by-step explanation:

URGENT HELP!!!

Factorise x²+12x+180
With middle term splitting method, or factorising by grouping

Answers

The quadratic expression cannot be factorized, because the discriminant is less than 0

How to factorize the expression?

The expression is given as:

x²+12x+180

Calculate the discriminant of the expresison using:

D = B² - 4AC

So, we have:

D = 12² - 4* 1 * 180

Evaluate

D = -576

Because the discriminant is less than 0, then the expression cannot be factorized

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Question 1 GIVING BRAINLIESTT!!!!!!!!

Answers

Answer is (-1.5,5)
Midpoint formula is M= ((X1+X2)/2), ((Y1+Y2)/2)
So it becomes ((-4+1)/2), ((9+1)/2)= (-1.5,5)

Rachel found that 20 out of 48 cars that entered a parking lot were red. What is the experimental probability that the next car that comes in is red? What is the experimental probability that the next car that comes in is not red?

Answers

In the observation of Rachel the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

What is experimental probability?

Experimental probability of an event is the ratio of number of favorable outcome which appeared while conducting an event to the total number of outcome of that event is occurred.

Rachel found that 20 out of 48 cars that entered a parking lot were red. In this observation, the probability of a car to be red is,

[tex]P=\dfrac{20}{48}\\P=\dfrac{5}{12}[/tex]

Thus, the experimental probability that the next car that comes in is red is 5/12.

The experimental probability that the next car that comes in is not red is,

[tex]P^{-1}=1-\dfrac{5}{12}\\P^{-1}=\dfrac{12-5}{12}\\P^{-1}=\dfrac{7}{12}[/tex]

Hence, In the observation of Rachel, the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

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What is the sum of the two
expressions?

(4/5x+13) - (5/8x − 6)

Answers

Answer: 7/40x + 19

Step-by-step explanation:

---Distribute the negative sign

4/5x + 13 - 5/8x + 6

---Get common denominators on the fractions

32/40x + 13 - 25/40x + 6

---Combine like terms

(32/40x - 25/40x) + (13 + 6)

7/40x + 19

Answer: 7/40x + 19

Hope this helps!

What percentage of people like
mushrooms?
Response Frequency
Like
19
Dislike
31

Answers

25%

Hope this is right

I need this done fast please

Answers

hope this helps :)

............

2. 20+(5 X 2/5 )+ 3 please answer with process not just answer thanks

Answers

Answer:

[tex]25 \: or \: {5}^{2} [/tex]

Step-by-step explanation:

Simplify It

[tex]20 + 2 + 3[/tex]

Then calculate it.

[tex]20 + 2 + 3 = 25[/tex]

Answer:

Step-by-step explanation:

Given:

20+(5 × 2/5 )+ 3

Solve:

Using the PEMDAS

Which is:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

Thus we have:

20+(5 × 2/5 )+ 3 {5 × 2/5 = 2}

= 20 + 2 + 3

= 22 + 3

= 25

Kavinsky

products of powers formula

Answers

The products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.

What is products of power formula?

The products of powers formula is used to find the product of two exponent numbers.

It is difficult to solve the problem of product in which number has the different exponents or power. The product of power formula is solved this issue.The product of power formula tells that when the number is multiplied by itself with different exponent, then the power are added in this multiplication keeping the number same.

The products of powers formula when multiplying a number having exponents can be given as,

[tex]a^m\times a^n=a^{(m+n)}[/tex]

Here, (a,m and n) are the number real numbers. In this formula, m and n is the power of the common number a.

Hence, the products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.

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In the figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC 45°, Find ∠BCD.