What are the solutions to the system of equations?
x² + y² = 5
y= 2x

Answer:

1) 0.21

Step-by-step explanation:

This is because there are 4 bananas out of all 19 fruits. 4/19 is equal to 0.21052631578.

Answer:

Step-by-step explanation:

A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]  according to the translation rule.

According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)

by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].

Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4

Putting in the values given in the question to the translation rule we get

[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]

[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]

Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.

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Answer:

1) 8 liters of pure acid

2) 27 liters of 35% ethanol

3) 8.2 liters of 30% acid

Step-by-step explanation:

The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.

Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:

(12*0.15 + x) / (12 + x) = 49/100

(1.8 + x)*100 = (12 + x) * 49

180 + 100x = 588 + 49x

51x = 408

x = 8 liters of pure acid

Similar to the solution above, for the second question we have:

(23*0.26 + 0.35*x) / (23 + x) = 30.86/100

(5.98 + 0.35*x)*100 = (23 + x) * 30.86

598 + 35x = 709.78 + 30.86x

4.14x = 111.78

x = 27 liters of 35% ethanol

For the third question, we have:

(10*0.5366 + 0.3*x) / (10 + x) = 43/100

(5.366 + 0.3x)*100 = (10 + x)*43

536.6 + 30x = 430 + 43x

13x = 106.6

x = 8.2 liters of 30% acid

Hey!!

{12,13,25} is not a Pythagorean triple

please see the attached picture for full solution

hope it helps

Answer:

Step-by-step explanation:

When base is same, add the powers

[tex]x^{\frac{2}{3}}*x^{\frac{1}{2}}=x^{a}\\\\x^{\frac{2}{3}+\frac{1}{2}}=x^{a}\\\\x^{\frac{4}{6}+\frac{3}{6}}=x^{a}\\\\x^{\frac{7}{6}}=x^{a}[/tex]

Compare the powers,

a = 7/6

The correct answer is two places to the right

The following information should be considered:

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Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

Answer:

She needs to score 82

Step-by-step explanation:

Mean of five test scores = 82

Let the score she got in fifth test = x

[tex]\frac{84+93+91+60+x}{5}=82\\\\\frac{328+x}{5}=82\\\\328+x=82*5\\\\328+x=410\\\\x=410-328\\\\x=82[/tex]

Answer:

By asking a larger quantity of people.

Changing the time/date of when she went and asked the questions

Answer:

by asking more people because then she can get a more diverse answer

Step-by-step explanation:

Answer:

V = 10 in^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We have the diameter

r = d/2 = 2.7/2 =1.35

V = 4/3 ( 3.14) (1.35)^3

V =10.30077

Rounding to the nearest whole number

V = 10 in^3

Answer:

10 in^3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

-1/3 I think

Step-by-step explanation:

I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/

Hope this helps though :)

Answer:

slope = y2-y1

x2- x1

= 4-2 = 2

6-0. 6

= 1/3

Answer:

1 can be written as √1 and 2 can be written as √4 and because 1 < 2 < 4, our answer is 1 and 2.

Answer:

y = -1/3x+3

Step-by-step explanation:

use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer.  y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

The equation that represents the graphed function would be; y = -1/3x+3

We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.

Now plug in the values and get the answer.  

y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3-2) / ( 0-3)

m = -1/3

The equation will be  y=-1/3x+3

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Answer:

B

Step-by-step explanation:

Given a system of equations graphically then the solution is at the point of intersection of the 2 lines.

The point of intersection = (- 4, 8 ) ← solution

[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.

This means that these two are equal. hope this helps!

8/25 is equal to 0.32

let me know if u need explanation

Answer:

Step-by-step explanation: since ab||ef, line cd is a transversal

x+35°=85° (alternate interior angles)

x=85-35

x= 50°

taking bd as a transversal

y= 35° (alternate interior angles)

taking bz as a transversal

y+z+40°= 180° (interior angles on the same side of the transversal)

z+35°+40°= 180°

z+75°= 180°

z= 180-75

z= 105°

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Answer:

x = 50 degree found by working out c and d

y = 35 degree

z = 105 degree

Step-by-step explanation:

c is solved 180-85 = 95 as all straight lines equal (180)

d is solved 85-35 = 50 as it is alternate of c (85)

x is found  85 - 35 = 50 degree as it is part of d and not supplementary

y is found  180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.

z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle

Answer:

30 square units

Step-by-step explanation:

i did this problem before.

Answer:

Two zeroes

Step-by-step explanation:

A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.

Answer:

Mini golf: $10.00, batting cage: $2.50

Step-by-step explanation:

We have that 5 mini golf + 4 batting = 60, and 3 mini golf + 6 batting = 45.

Let m=mini golf price, and b=batting cage price.

Then 5m+4b=60 and 3m+6b=45.

We can multiply the first equation by 3 and second by 5 to get

15m+12b=180

15m+30b=225

Subtract the two to get -18b=-45, so b=45/18=$2.50

Then m=$10 if you substitute b back in the first equation.

Hope that helped,

-sirswagger21

Answer:

mini golf10:00 batting cage 2:50

Step-by-step explanation:

Answer:

First number: 15

Second number: 21

Third number: 84

Step-by-step explanation:

Hey there! I'm happy to help!

We see that it takes 15 minutes to eat 6 apples. But, we want to find how long it takes to get to sixteen apples. We need to multiply this by something to get our six apples to sixteen. Let's divide 16 by 6 to find what we need to multiply by.

16/6= 2 2/3

So, if we need to multiply our number of apples by 2 2/3 to get to sixteen, we also need to multiply our minutes by 2 2/3.

15(2 2/3)= 40

Therefore, it takes Ritz 40 minutes to eat sixteen apples at this rate.

One trick to solve problems like this fast is to multiply the two different things you see (minutes and apples) and then divide by the other thing you see (apples in this case). Then, you get the minutes.

15(16)=240

240/6=40

I hope that this helps! Have a wonderful day!

Answer:

40 minutes

Step-by-step explanation:

using the converstion factor

                  15min           15min times16         240

16ap. times                 =                             =                = 40

                  6 apples                6                       6

Answer:

The answer is "(0,0)"

Step-by-step explanation:

In the given some information is missing that is point so, the correct answer to this question can be described as follows:

book Number = x  

overall Book weight = y  

Neither x nor y can be negative. We have to be positive values, then.  

Since x indicates the number of books, that must be a positive integer. It can not be a decimal number or fractional number.  

So the only viable solution from the given options is (0, 0).

Answer:

6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders

Step-by-s6 ounces.

Step-by-step explanation:

Since these angles are supplementary (meaning they have a sum of 180 degrees) we get 3a + 2a + 4a = 180° which simplifies to 9a = 180 and then a = 20°

Answer:

a = 20

Step-by-step explanation:

The angles form a straight line, which is 180 degrees

3a + 2a + 4a = 180

Combine like terms

9a = 180

Divide by 9

9a/9 =180/9

a = 20

Answer:

D

Step-by-step explanation:

Count by 25. Its a no-brainer honestly.

Answer: HI, Hope this helps you dear!

Step-by-step explanation:

3/4 - 2 7/8 = 2.8755

Answer:

2 7/8

Step-by-step explanation:

5 3/4 = 23/4

2 7/8 = 23/8

23×2=46

4×2=8

46/8-23/8= 2 7/8

Answer:

11 years

Step-by-step explanation:

Answer:

Its actually 10 years

Step-by-step explanation:

Its about 10.4 but it says nearest year and 10 is closer than 11

Answer:

Percent of error = 4.80% (Approx)

Step-by-step explanation:

Given:

Mass of sample = 109 gram

Actual mass of sample = 104 gram

Find:

Percent of error.

Computation:

Error = Mass of sample - Actual mass of sample

Error = 109 gram - 104 gram

Error =5 gram

Percent of error = (Error / Actual mass of sample)100

Percent of error = (5 / 104)100

Percent of error = 4.80% (Approx)