Find the value of two numbers if their sum is 17 and their difference is 3.

Answers

Answer 1

Step-by-step explanation:

x+y=17 (First equation)

x-y=3 (Second equation)

Solving Equation (i)

x+y=17

x=17-y(First equation)

Putting value of x in equation (ii)

x-y=3

x=3+y

17-y=3+y

17=3+y+y

17=3+2y

2y=17-3

y=14/2

y=7

Putting value of y in equation(i)

x=17-y

x=17-7

x=10


Related Questions

The list shows the number of miles six people drove in a month .
445, 380, 365, 375, 370, 315

What is the mean absolute deviation of these numbers ?

Answers

The Mean (μ) = 375
Mean Absolute Deviation (MAD) = 25

Hopefully you guys can see this. This is the 2nd part to my 1st question. The picture with the colored shapes is the 1st part which was already answered gratefully. You can use that picture to help you answer this.
I’ll be giving out a lot points for this as well as Brainliest to whoever answers correctly.
Thank you in advance and take your time.

Answers

Answer:

what are the rods? Are they the same ones as used in the diagram

Step-by-step explanation:

Se ha preguntado a un grupo de personas jubiladas el número de veces que han ido al teatro en el
último año. Las respuestas se recogen en esta tabla:
N.º DE VECES 0 1 2 3 4 5
N.º DE PERSONAS 2 20 41 26 9 2
Halla la media y la desviación típica.

Answers

Answer:

can please give clear clarification on English

1. If x=3-√3,
prove that x²
+36

= x²

Answers

Answer:

we get [tex]x^2=12-6\sqrt{3}[/tex]

Step-by-step explanation:

We are given: [tex]x=3-\sqrt{3}[/tex]

We need to find [tex]x^2[/tex]

Note: Since question is not clear, I am assuming that we need to find [tex]x^2[/tex]

Solving:

[tex]x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\[/tex]

We know that [tex](a-b)^2= a^2-2ab+b^2[/tex]

Using formula and simplifying

[tex]x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\[/tex]

So, we get [tex]x^2=12-6\sqrt{3}[/tex]

help me please......​

Answers

Answer:

I was told it was D

Step-by-step explanation:

True or false? Help me out

Answers

Answer:

False, becasue 8*1/2 is 4 and 4 doesn't equal 16

Step-by-step explanation:

False. 8 x 1/2 = Half of 8, which is not 16.

Dave bakes 12 cakes in 3 minutes. If b represents the numbers cakes David bakes in minutes . What is a linear equation that represents this situation

Answers

Answer:

The linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

Step-by-step explanation:

Let 'b' represents the numbers of cakes David bakes in minutes.

Let 'a' represents the time David takes to make 12 cakes

As Dave bakes 12 cakes in 3 minutes.

unit rate = 12/3 = 4 cakes / per minute

The unit rate can also be treated as a slope as it is just representing the rate of change.

Thus, the linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

VERIFICATION

if a = 3 minuts

then

b = 4(3) = 12 cakes

and

if a = 2 minutes

then

b = 4(2) = 8 cakes

and

if a = 1 minute

then

b = 4(1) = 4 cakes

Thus, the required equation is:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

Best answer gets brainiest. Ariel hiked to a famous point with a beautiful view. It took 2 hours and 20 minutes to hike to the viewpoint and 55 minutes to hike back. Ariel spent 1 hour and 40 minutes enjoying the view at the top. She finished the hike at 2:55 P.M. What time did Ariel start the hike to the viewpoint?

Include A.M. or P.M. in your answer.

Answers

Answer:

10: 00 AM

Step-by-step explanation:

2 hr 20 minutes +55 min= 3 hours 15 minutes

3. 15+  1 hr 40 min= 4 55 min

2: 55 pm- 4 hours and 55 minutes= 10 am

Answer:

Ariel starts hiking at 10:00am

Step-by-step explanation:

    2hr 20min

+          55min

+    1hr 40min

————————

   4hr 55min total time spent hiking.

14:55 - 4hr 55min = 10:00

2:55 pm - 4hr 55min = 10:00am

Which list the students in order greatest distance from school to least distance 1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie

Answers

Answer: Katie, Josie, Ramona, Teri

Step-by-step explanation:

Answer:

1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie

Step-by-step explanation:

In the figure below, Triangle FGH and Triangle JKHare right triangles.
15
12
What is the length of segment KH?

Answers

Answer:

5

Step-by-step explanation:

∆FGH is similar to ∆JKH. Therefore, their corresponding lengths are proportional to one another. Thus:

[tex] \frac{GH}{KH} = \frac{FH}{JH} [/tex]

GH = x + 15

KH = x

FH = 12 + 4 = 16

JH = 4

Plug in the values

[tex] \frac{x + 15}{x} = \frac{16}{4} [/tex]

Cross multiply

[tex] (x + 15) \times 4 = 16 \times x [/tex]

[tex] 4x + 60 = 16x [/tex]

Subtract 4x from each side

[tex] 60 = 16x - 4x [/tex]

[tex] 60 = 12x [/tex]

Divide both sides by 12

x = 5

KH = x = 5

help!!!!
Which of the following is a common denominator for 1/4 and 1/6?
6
10
18
24

Answers

24, because you can just multiply 4 by 6 which is 24

Answer:

24

Step-by-step explanation:

Just multiply the two denominators 4 and 6. 4x6=24 so the answer is 24.

Any help please I appreciate it thank you

Answers

Answer:

20 feet

Step-by-step explanation:

Parimeter is how far you would walk if you made a lap around the shape, walking on the edge lines like a balance beam.

To find perimeter, we need to add up all the sides.

Because it's a square each side has the same length.

There are 4 sides.

5 x 4 = 20

or 5 + 5 + 5 + 5 = 20

The perimeter is 20 feet

Dec 4,
PM
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1, 4) and (-9, --6).

Answers

Answer:

y = -0.8x - 5

Step-by-step explanation:

x1 = (XA + XB) / 2 = -5

y1 = (YA + YB) / 2 = -1

m = (XA - XB) / (YA - YB) = -0

__________________________________________

(y - -1) = -0.8(x - -5)

y - -1 = -0.8x - 4

y = -0.8x - 4 + -1

y = -0.8x - 5

A store has 300 televisions on order, and 40% are high definition. How many televisions on order are high definition? You may find the bar model useful in completing this problem.

Answers

Answer:

120

Step-by-step explanation:

There are 120 high definition televisions are in Order.

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here,

Total television = 300

Percentage of High definition television = 40%

Number of total high definition television = 40/100 X 300

                                                                     = 40 X 3

                                                                     = 120

Thus, There are 120 high definition televisions are in Order.

Learn more about Percentage from:

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you want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable preliminary estimation for the population proportion. you would like to be 95% confident that you estimate is within 2% of the true population proportion. how large of a sample size is required

Answers

Answer:

The value is  [tex]n =2401  [/tex]

Step-by-step explanation:

From the question we are told that  

 The  margin of error is  E = 2%= 0.02

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Here we are going to assume that the sample proportion is  [tex]\^ p = 0.50[/tex]

  Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>   [tex]n =[\frac{ 1.96 }{ 0.02} ]^2 * 0.5 (1 -0.5  ) [/tex]

=>    [tex]n =2401  [/tex]

 

Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability that less than 348 U.S. citizens have green eyes is _______.

Answers

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

[tex]X \sim Bin(n = 1200,p =0.3)[/tex]

The Binomial can be approximated to normal with:

[tex]\mu = np = 1200 \times 0.3 \\ \\ \mu= 360[/tex]

[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875[/tex]

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, [tex]\mu[/tex] = 360, [tex]\sigma[/tex] = 15.875

Using the z test statistics;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

[tex]z = \dfrac{347.5 - 360}{15.875}[/tex]

[tex]z = \dfrac{-12.50}{15.875}[/tex]

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

West Junior High needs to buy new fencing to go around Evaluate the formula for the perimeter of a rectangle to
its swimming pool. Determine the amount of fencing it will solve the problem. Then check all that apply.
need by finding the perimeter of the pool.
First, write the formula for the perimeter of a
Pool Perimeter
rectangle: P = 21 +2w.
P=21 +2w
Next, use parentheses when you substitute 50 for 1
and 25 for w.
1 = 50 meters
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
w = 25
The school needs 150 meters of fencing.
meters

Answers

Answer:

1,2,3, and 5 :]

Step-by-step explanation:

Answer:

1

2

3

5

are the answers edg 2021 hope you have a good day/night

Can Someone help me!

Answers

Answer:< IJL= 63°

Step-by-step explanation:

as AB||CD, EF||GH, KLJI is a paralellogram, & the opposite angles of paralellogram are equal. So,< IJL= <IKL=63°

bd s ssvsg helpppp...​

Answers

The second one is the right answer

i will give you brainliest and give you 50 point if you help me

Answers

Answer:

10:16

Step-by-step explanation:

If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.

(BTW I LOVE UR BAKUGOU PFP)

Answer:

the answer will be 10:16

Step-by-step explanation:

(((95*26)-470)-470)/16)-35

Answers

Answer:

Its either 60.625 or 90

Step-by-step explanation:

((2470 - 470)/16) - 35

(2000/16) - 35

125 - 35

90

90 is true if you made a mistake in adding two 470's, but if this is the actual equation, it is 60.625

(or when you follow the order of the numbers it becomes the 61 number)

I need help please!:D

Answers

Answer:

18

Step-by-step explanation:

Divide 252 by 14 and you will get 18 and if you substitute x or the number you need to find, 18 x 14 = 252. Hope this helps.

Find the value of y so that the distance between the points (4.7 and 0.6) is equal to 5​

Answers

Answer:

you now if you wont to find the value you can type distance calculator and see the points

Step-by-step explanation:

Help Me PLEASESESESESES!

Answers

Answer:

5375 should be it

Step-by-step explanation:

The lines P an Q intersect at point O. What is the value of x?

Answers

Answer:

17

Step-by-step explanation:

you add the b and x coordinate divide it by 2 to get the value of p and q which you then divide by the value of ur mom to get x

Drew wrote three equations.
32 = ? x4
56 : 7 = ?
?×? = 64
What number will make all of Drew's equations true? Enter your answer in the box.
? =

Answers

Answer:

8

Step-by-step explanation:

4*8=32

7*8=56

8*8=64

In a study investigating a link between walking and improved​ health, researchers reported that adults walked an average of minutes in the past month for the purpose of health or recreation. Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is than minutes.

Answers

Complete question is;

In a study investigating a link between walking and improved​ health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation.

Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes

Answer:

Null Hypothesis: H0: μ = 873

Alternative hypothesis: Ha: μ < 873

Step-by-step explanation:

From the study, the claim is that the true average number of minutes gotten from the population average in the past month that the adults had walked for the purpose of health or recreation is lower than the average of 873 minutes.

Now, the population study says it's equal to 873 minutes.

Thus, the hypotheses can be written as;

Null Hypothesis: H0: μ = 873

Alternative hypothesis: Ha: μ < 873

what is 1 and 5/32 as a decimal

Answers

Answer:

1 5/32 is equal to 1.15625 in decimal form.

Step-by-step explanation:

Hope this helped, Have a Great Day!!

1 and 5/32 is equivalent to 1.15625 as a decimal.

To convert the mixed number 1 and 5/32 to a decimal, you need to combine the whole number and the fractional part.

First, you convert the fractional part to a decimal.

The denominator of 32 tells you that there are 32 equal parts in a whole.

To determine the value of 5/32, you divide the numerator (5) by the denominator (32):

5 ÷ 32 = 0.15625

Next, you add the decimal value of the fractional part (0.15625) to the whole number (1):

1 + 0.15625 = 1.15625

Therefore, 1 and 5/32 is equivalent to 1.15625 as a decimal.

Learn more about mixed number click;

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Which expression is equivalent to
2.2

2.5
2.2−2.5?
A
2.5−2.22.5−2.2
B
2.2+2.52.2+2.5
C
2.2+(−2.5)2.2+(

2.5)
D
2.2−(−2.5)2.2−(

2.5)

Answers

Answer:

The answer is = A

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Solve the given equation for v.

Answers

Answer:(3t)^2

Step-by-step explanation:

Steps below

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