Is (3,5) a solution to the system - x +y = 1 and 2x + 4y = 2?

Answer:

a.70.95

b. 7.5

Step-by-step explanation

If you divide 2.40 by 32, you get the ratio of the tip to cost, which is 0.075, or 7.5 percent. Multiply 66 by 1.075, which includes both the cost and the tax.

Answer:

Step-by-step explanation:

(x-5)2+8 = 92

2x-10+8 = 92

2x = 94

x = 47

Answer:

Step-by-step explanation:

2(n-5)+8=92

2n-10+8=92

2n-2=92

2n=94

n=47

Answer:

What is the question asking to answer?

Step-by-step explanation:

Answer:

$19:50

Step-by-step explanation:

Write a system of equations to represent the problem. Let x represent the cost of a binder, and let y represent the cost of a notebook.

Grace buys 4 binders and 7 notebooks for $26.50 total, so the equation 4x+7y=26.50 represents how much Grace spends.

Grace's friend buys 3 binders and 6 notebooks for $21.00 total, so the equation 3x+6y=21 represents how much her friend spends.

You can use this system of equations to find how much money Grace and her friend spend on notebooks:

4x+7y=26.50

3x+6y=21

Next, find how much Grace and her friend spent on notebooks. Start by finding the cost of one notebook. Use elimination to solve for y. .

3(4x+7y)=3(26.50)  

–

12x+21y = 79.50

–

4(3x+6y)=

–

4(21)  

–

12x–24y =  

–

84

–

3y =  

–

4.50

y = 1.50

Each notebook costs $1.50. Grace and her friend buy a total of 13 notebooks, so multiply to find how much money they spend on notebooks.

13$1.50=$19.50

Grace and her friend spend $19.50 total on notebooks.

I can't see because theirs no question

Answer:

92

Step-by-step explanation:

The easiest way for me to find any percentage of a number is to find what 1% is and then multiply by the % amount. So to answer this question I would do 575/100 which is 5.75 and this is 1% then multiply 5.75 by 16 to get 92 so a 16% of 575 is 92. (Double check to make sure I'm correct)

Answer:

0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equations are not independent. They represent the same graph.

There are an infinite number of solutions.

Answer:

The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .

Thus, option D is correct.

Step-by-step explanation:

The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:

[tex]P = 2l + 2w[/tex]

In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.

In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex]  and  [tex]\sqrt{200a^3}\:\:[/tex].

Here is the student's solution:

[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]

                                 [tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]

                                 [tex]=30ab\sqrt{2a}[/tex]          

The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.

Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]

Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .

Thus, option D is correct.

Here is the correct Solution:

[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]

                                 [tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]

Answer:

D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a

Step-by-step explanation:

Just did it.

Answer:

Step-by-step explanation:

8w+8 > -10w-5

18w + 8 > -5

18w > -13

w > -13/18

Answer:

C) 4k-24

A)10x+15x

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

average = sum of scores / number of scores

60% = [sum of 9 tests] / 9

[new average] = [sum of 10 tests] / 10

= ([sum of 9 tests] + 85%) / 10

= ((9 * 60%) + 85%) / 10

= 62.5%

Answer:

probably D

Step-by-step explanation:

Answer:

0.38 x d + d

Step-by-step explanation:

the answer for ur question is

d+0.38d

1.38d

Answer:

40.72units^2

Step-by-step explanation:

Given data

Radius= 3.6 units

The area is given as

A=πr^2

substitute

A=3.142*3.6^2

A=3.142*12.96

A=40.72units^2

Hence the area is 40.72units^2

Answer:

yes

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84

Answer:

14.333 yards

516 inches

Answer:

3) 43 ft = 14.33 yards and 516 inches.

Step-by-step explanation:

43 ft = ? yards

Divide 43 by 3: 43 ÷ 3 = 14.33 yards

43 ft = ? inches

Multiply 43 by 12: 43 × 12 = 516 inches

Answer: D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We are given:

[tex]\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}[/tex]

To make it simpler and more clear, we can let u = sin(x). So:

[tex]\displaystyle \frac{u^2-u-2}{u-2}[/tex]

Now, it becomes obvious that we can factor, which produces:

[tex]\displaystyle =\frac{(u-2)(u+1)}{u-2}[/tex]

Cancel:

[tex]=u+1[/tex]

And substituting back:

[tex]=\sin(x)+1[/tex]

Hence, our answer is A.

Answer:

A

Step-by-step explanation:

Answer:

x+8

Step-by-step explanation:

Answer:

0.036

Step-by-step explanation:

Answer:

0.24 x 0.15 = 0.036

Step-by-step explanation:

First ignore the decimal points so you have 24*15 = 360.

You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.

Divide 44 by 50

.88

Step-by-step explanation:

88%

Answer:

88%

Step-by-step explanation:

the number of correct answers (44) divided by the total questions (50) = 88%

Answer:

50%

Step-by-step explanation:

50% is half of a quantity, while 30% is less than half.

Answer:

..

50% is greater than 30%

Step-by-step explanation:

ooooo

Answer:

Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:

r = √(x^2 + y^2)

θ = Atg(Iy/xI) + 90°*(n - 1)

where n is number of the quadrant where our point is.

For example, if we are on the second quadrant, we use n = 2.

Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:

x = r*cos(θ)

y = r*sin(θ)

Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:

x = -2

y = -(5*pi)/4

Using the first relation, we can find that:

r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4

(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)

θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°

Then the point that represents  (- 2, - (5pi)/4) in polar coordinates is the point:

(4.4, 262.7°)

If instead of degrees, the angle part is written in radians, we have:

180° = 3.14 radians.

262.7° = x radians.

then:

x/3.14 = (262.7)/180

x =  3.14*(262.7)/180 = 4.58 radians.

then the point will be:

(4.4, 4.58 radians)

Answer:

Step-by-step explanation:

2) When x = 6

x - 2y = 8

6 - 2y = 8

    -2y = 8 - 6

    -2y = 2

       y = 2/-2

     y = -1

Yes, (6, -1) lies on the line.

3) No, (-2 , -3) is not on the line

4) (-2 , -3) is not a solution to this equation because it does not lie on the line.

Answer:

45/50= 9/10

Step-by-step explanation:

If 5 packs were left after the sale, then 50-5=45 is the number of packs sold

Then the fraction sold would be the number of packs sold divided by the total number of packs.

45 sold/50 total