Find two integers whose sum is 20 and product Is 100​

Answers

Answer 1

Answer: 10

Step-by-step explanation:

10+10 = 20

10 x 10 = 100

mi would do another but i supposed to be in class :P

Answer 2

The two Integers are  [tex]10,10.[/tex]

What is Integer ?

An Integer number that can be written without a fractional component.

We have,

Sum of two Integers [tex]=20[/tex]

Product of two Integers [tex]=100[/tex]

Now,

Let,

One integer [tex]=x[/tex]

Another integer [tex]=y[/tex]

So,

According to the question,

[tex]x+y= 20[/tex]     [tex].....(i)[/tex]

[tex]x*y=100[/tex]

⇒ [tex]x=\frac{100}{y}[/tex]     [tex].....(ii)[/tex]

Now,

Putting value of x in equation (i),

We get,

[tex]\frac{100}{y}+y= 20[/tex]

[tex]100+y^2=20y[/tex]

[tex]y^2-20y+100=0[/tex]

Using middle term split method,

[tex]y^2-10y-10y+100=0[/tex]

[tex]y(y-10)-10(y-10)=0[/tex]

[tex](y-10) (y-10)=0[/tex]

We get,

[tex](y-10)=0[/tex] and [tex](y-10)=0[/tex]

So, [tex]y=10[/tex]

Now, putting value of y in in equation (i),

[tex]x+10=20[/tex]

[tex]x=10[/tex]

So, two integers are [tex]10,10.[/tex]

Hence, we can say that the two Integers are  [tex]10,10.[/tex]

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Related Questions

answer if you want too

Answers

Answer:

your picture isnt loading

Step-by-step explanation:

Hey, here’s what I got.

Have a nice day!

Grace has $15 in her bank account. She starts
saving $5 each week. Jose has $5 in his account
and is saving $10 each week. What is the slope of the line that represents Grace's bank account?

Answers

Answer:

[tex]\frac{5}{1}[/tex] or 5

Step-by-step explanation:

Using the data provided we would create the following equation to calculate Grace's bank account using the variable x to represent the number of weeks.

f(x) = 5x + 15

The slope of a function in such a function would be the value of that is being multiplied by x. The numerator would be the numberof units it is rising in a graph while the denominator represents the number of units it is moving to the right. Since in this scenario, the number is a whole number (5) the denominator is automatically 1. Meaning that the slope is 5 units up for every 1 unit to the right.

Stressed out just help

Answers

Volume=Area of base×Height

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

A bag contains 4 blue and 6 green marbles. Two marbles are selected at random from the bag. find each of the following probabilities round your answer two decimals if needed​

Answers

Answer:

dicailmal 4.6  and ratioal 4:6                dont add this but this will also work 4/6

Step-by-step explanation:

Answer: don’t know the “following probabilities but I have included answers below

Step-by-step explanation:

4 blue + 6 green = 10 total

probability of getting green once and blue next: 6/10*4/9 = 24/90 or about 0.27

probability of green both times: 6/10*6/9 = 36/90 or 0.4

probability of blue first then green next: 4/10*6/9 = same as first answer (about 0.27)

probability of blue both times: 4/10*4/9 = 16/90 or about 0.18

Find the rate percent per annum at which birr 380 earns birr 128.25 in 7 years and 6 months?​

Answers

Answer:

A = $4,035.13

Step-by-step explanation:

Given: 380 earns, 128.25 in 7 years and 6 months

To find: The rate percent per annum

Formula: [tex]A = P(1 + rt)[/tex]

Solution: I = A - P = $3,655.13

Equation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 128.25%/100 = 1.2825 per year.

Solving our equation:

A = 380(1 + (1.2825 × 7.5)) = 4035.125

A = $4,035.13

The total amount accrued, principal plus interest, from simple interest on a principal of $380.00 at a rate of 128.25% per year for 7.5 years is $4,035.13.

martinbly.com
b)
Find the surface area of the prism.
10 ft
12 ft
5 ft
16 ft
19.6 ft

Answers

Answer:

55.5

Step-by-step explanation:

Solve for X, please.

Answers

Answer:

35

Step-by-step explanation:

B

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Draw
List
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your good and
Good Stuely habits
cose Study brow
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Answers

Answer:

wha- I have no idea what your saying

Thanks in advance for your help ​

Answers

Answer:

CA=P+2Q

Step-by-step explanation:

Find the length of the segment shown below. Round your answer to the nearest tenth.

Answers

Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4

which parent function is f(x)=|x|?

Answers

Answer: We can see that it has a parabola for its graph, so we can say that f(x) is a quadratic function. This means that f(x) has a parent function of y = x2.

Step-by-step explanation:

(Hope this helped Btw not mine)

Answer:

Absolute value parent function

Step-by-step explanation:

Can someone help me please!!

Answers

Hey I don’t have a calculator rn but if you do 8116x1.03^4 you get ur answer
100%+3% as it increases and the 4 comes from the amount of yrs
Hope that makes sense ☺️

i need help with this please i want to give up smh my head (no links)

Answers

Answer:

to fine the volume of a cone, you do [tex]\pi r^2*h/3[/tex], r is 3 and h is 4, so [tex]9\pi *4/3[/tex], the cylinder formula is [tex]\pi r^2*h[/tex], r=3 and h=12, so [tex]9\pi *12[/tex], so 12[tex]\pi[/tex]+108[tex]\pi[/tex], this gives a answer of 120[tex]\pi[/tex] or 376.991118431.... GL :)

Step-by-step explanation:

Look at the person above me. There you will find your answer :)

Packages of pencils cost $3.00 per
dozen. If Mr. Thomas wants to calcul
how much he will pay for 180 pencils
what operation should he perform?
(A) Divide 180 by 3
(B) Multiply 3 by 15
(C) Multiply 180 by 12
(D) Divide 180 by 12

Answers

Answer:

a

Step-by-step explanation:

because if they are 3.00 dollars then you decide that bye 180 to get your answers

Answer:

B

Step-by-step explanation:

because 180 is 15 dozen so 15 times 3 would give you the right answer

Jerome bought three T-shirts. The red one cost $7.97, the green one cost $11.49, and the black one cost $12.58. How much did they cost in all?
$6.88
$19.46
$32.04
$103.77

Answers

32.04 because 12.58+11.49=24.07+7.97=32.04

[tex] 7.9 \\ 11.94 \\ 12.58 \\ - - - - - \\ 32.04[/tex]

u gotta add them since they asked about their cost in all

Angel says that raising fraction to the power of -1 is the same as finding the reciprocal of the fraction do you agree

Answers

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

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10. Given that the areas of the two rectangles are equal, calculate the
value of x. What is the area of each rectangle?

Answers

Answer:1251231

Step-by-step explanation:

Adrian took out a simple interest loan for $2000. The rate on this loan is 7% and he will pay it back in 5 years. How much money will Adrian owe at the end of 5 years including interest?

Answers

Answer:

i think its 700

Step-by-step explanation:

7%of 2000 is 140 and 140 x 5 is 700

Answer: $700 interest

Note that the formula for simple interest is I=Prt

1. Identify the Principal amount (P), rate (r), and time (t)

Principal amount=$2,000

Rate: 7% (0.07)

Time: 5 years

2. Plug the numbers into the formula; always make sure that the rate is in decimal form and the time is in years.

2,000*0.07*5=700

3. Final answer: $700

Suppose a normal distribution has a mean of 98 and a standard deviation of
6. What is P(x292)?
O A. 0.16
B. 0.475
C. 0.84
D. 0.975

Answers

The answer is A
Explanation

The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16

What is a z-score?

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the distribution be a normal distribution where

The mean of the data is μ = 98

The standard deviation is σ = 6

Now , the Z-score is determined by z = (x - μ)/σ

On simplifying , we get

when x = 92

P ( x < 92 ) is

z = ( 92 - 96 ) / 6

z = -1

So , the p value of P ( x < 92 ) is 0.1587

On rounding to the nearest value , we get

P ( x < 92 ) = 0.16

Hence , the z-score is solved

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please help!! I'm really confused:(

Answers

[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]

[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]

Answer: 120 cans.

The length of a side and the corresponding height of a triangle are (x+3) cm and (2x-5) cm respectively. Given that thr area of the triangle is 20 cm^2, find the value of x.

Answers

Answer: 5

Step-by-step explanation:

Given

The length of a side is [tex]x+3\ cm[/tex]

The height of a triangle is [tex]2x-5\ cm[/tex]

Area of triangle is [tex]20\ cm^2[/tex]

Area of triangle is given by

[tex]\Rightarrow A=\dfrac{1}{2}\times \text{base}\times \text{height}[/tex]

[tex]\Rightarrow A=\dfrac{1}{2}\times (x+3)\times (2x-5)\\\\\Rightarrow 40=(x+3)\times (2x-5)\\\Rightarrow 2x^2+x-55=0\\\\\Rightarrow x=\dfrac{-1\pm \sqrt{1^2-4(2)(-55)}}{2(2)}\\\\\Rightarrow x=\dfrac{-1\pm 21}{4}\\\\\Rightarrow x=-5.5,5[/tex]

Neglecting negative value

Therefore, the value of x is 5.

Consider the diagram and angle measurements shown below.
m1 = (x + 14)
m3 = (3y + 7)º
m4 = (5y - 73)
m5 = (3x - 54)
What is m2?

Answers

m2 would be (3x-54) just like m5

giving brainliest

The Earth has diameter of 7,917.5 miles. What is the distance a plane would have to fly if it could fly around the entire equator? USE 3.14 for π and ROUND to the nearest HUNDREDTH.

Answers

Answer:

distance or circumference= 2πr

2× 3.14× 3958.75

nb I got the radius by dividing the diameter by two

= 24,869.95

to hundreth = 24900

(a) There are 15,000 fleas in a carpet at the start of 2017. Each year, 3% of the fleas who were alive the previous year die and 1500 new fleas are born. Find an expression, in as simple a form as possible for the number of fleas N years after the start of 2017.

Answers

Answer:

Step-by-step explanation:

help me asap please

Answers

Answer:

Step-by-step explanation:

6^7/6^3

=6^7-3

=6^4

Enter the value that belongs in the
green box.
58
23
у
32
X
O

Answers

Answer:

[tex]cos32° = \frac{x}{23} [/tex]

cos32°=Adjacent / hypotenuse

Answer:

x

Step-by-step explanation:

cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{23}[/tex]

please help!! like ASAP

Answers

Answer:

A

Step-by-step explanation:

Find the volume of the sphere.
Either enter an exact answer in terms of T or use 3.14 for and
4

Answers

Answer:

268 units³

Step-by-step explanation:

V = 4/3 (pi)r³

V = 4/3 (3.14) (4³)

V = 4/3 (3.14) (64)

V = 4/3 (200.96)

V = 268

there is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?

Answers

Answer:

60/121

Step-by-step explanation:

There are two outcomes that are included in the event "2 different in color" -- either  Red followed by Blue (RB) or Blue followed by Red (BR).

Probability of RB is [tex]\frac{5}{11}\times \frac{6}{11}=\frac{30}{121}[/tex]  The denominator 11 does not change in the second fraction because you put the first marble back; still 11 marbles in the bag.

Probability of BR is [tex]\frac{6}{11} \times \frac{5}{11}=\frac{30}{121}[/tex]

Probability of RB or BR:  add the probabilities to get 60/121.

What is the truncation error for S4?

Answers

The truncation error for S4 is 4.6875

What is truncation error?

Truncation error is defined as the difference between the true (analytical) derivative of a function and its derivative obtained by numerical approximation.

In the given Truncation error formula put n= 4

On substitution n value from 1 to 4

5/16 +5/8 + 5/4 + 5/2 = 4.6875

Thus the truncation error for S4 is 4.6875.

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Answer:

A

Step-by-step explanation:

edg 2023

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