x+3y-xy=3
x^2+y^2+xy=3

Answer:

240

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

Hope it helps

Answer: words like straight, symmetrical, aligned.

Answer:

area = 28.27433

Circumference = 18.84956

Step-by-step explanation:

I hope that this helps!!

Answer:

its going up by 5 every time

Step-by-step explanation:i think that would help i dont know if it was obvious

Answer:

9 cookies are left

Step-by-step explanation:

36 - 9 = 27

27 · 1/3 = 9

Answer:

(2f-17h)/24k

Step-by-step explanation:

We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :

8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get

(2f-17h)/24k

At a rate of 13.5% the interest per $100 is $ 4.778 per month.

Therefore, for two years the payment will be

$4.778 × 24 = $114.672 per $ 100

Therefore, the interest for a principal $6250 for two years;

(6250/100) × 114.672

= $7167

The monthly payment would therefore be

7167/24

= $298.625

≈$298.63

Answer:

If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]

If there is a typo nad one of the slopes is negative, they're perpendicular.

Step-by-step explanation:

The product of the slope is 1 -unless you forgot a minus sign somewhere.

In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point

[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]

The constant of proportionality in the equation  y=1/2x

is 1/2

The direct proportionality between x and y is established by :

y α x

α = proportionality symbol

y = kx - - - (1)

Where;

y and x are the variables

k = proportionality constant

Comparing (1) with the equation given : y=1/2x    y=kx

The value of k aligns with 1/2 in the given equation.

Therefore, the constant of proportionality, k in the equation is 1/2

Answer:

yo yo yo! here to help :) answer is 1/2

Answer:

The answer in image one is f(x)=2x     Left

The answer in image two is f(x)=x       Center

the answer in image three where right       Right

Answer:

The answer is f(x) = x. Its the second graph.

Step-by-step explanation:

Answer:

Apples $0.90 / Bananas $1.50

Step-by-step explanation:

So The equations would look like this

5x + 4y = 10.5

10x + 5y = 16.5

Solving for x, we get 2.1 - 4/5y

Substitute x

10(2.1 -4/5y) +5y = 16.5

Solving for y, we get 3/2 or 1.5

Substitute y

x = 2.1 -4/5(3/2)

x = 9/10

Now check the equations with the answers

5(9/10) + 4(3/2) = 10.5  ->  21/2 = 21/2

10(9/10) + 5(3/2) = 16.5  ->  33/2 = 33/2

Which means apples cost $0.90 and bananas cost $1.50

The option that represents a valid conclusion based on the given results is;

One can reject the null hypothesis.

We are told that the z-statistic was 2.1.

We are also told that the critical z-values were -1.96 and 1.96.

We see that the z-value is greater than the critical z-values.

Now, in hypothesis testing, when the z-value is greater than the critical z-values, then we reject the null hypothesis.

In conclusion, we will reject the null hypothesis.

Read more about hypothesis testing at; https://brainly.com/question/15980493

Answer

The normal cost would be $11.50

Number Explanation

1) 76 ÷ 8 = 9.5

2) 9.5 + 2 = 11.5 or 11.50

Word Explanation

First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.

Answer:

  no

Step-by-step explanation:

We expect you're supposed to answer, NO. This is because an angle and two sides are specified, where the angle is not between the two sides. There is no SSA theorem for congruence, so this specification is generally considered to be insufficient.

_____

Additional comment

The given information is enough to completely specify the given triangle. The reason this is true is that the given angle is opposite the longest of the given sides. A general SSA theorem cannot guarantee that will be the case, so there is no general SSA congruence theorem.

Provided that you have corresponding side and angle information for the other triangle, congruence can be determined (yes). A single triangle by itself cannot be shown congruent to anything.

Answer:

absolute value is the same number just positive and cha never be negative.

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

12742.84$

Step-by-step explanation:

11798 (the price) + 11796 x 0.08 (8% interest)=12742.84

Answer:

x = 158

y = 22

Step-by-step explanation:

A triangle's inside sides sum up to 180 degrees. So to find the angle y, just take 180 - the sum of the other two sides.

70 + 88 =  158

180 - 158 = 22

y = 22 degrees

Now, to find angle x, since x and y are next to each other on a straight line, it means they are supplementary angles. Supplementary angles add together to equal 180, so just substract y from 180 to get x.

180 - 22 = 158

x = 158 degrees

Answer:

-5b <= -34

Step-by-step explanation:

The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.

Answer: x = 55/2

Step-by-step explanation: (x)(2) (-3)(2) = 49                                                       2x-6+6 = 49+6                                                                                                               2x/2 = 55/2                                                                                                                   x = 55/2

I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

Answer:

22.50

Step-by-step explanation:

2.50x6=15+7.50=22.50

Answer:

$22.50

Step-by-step explanation:

well we know we have 7.50 in the beginning then we add 2.50 x 6 to make the equation 7.50+ ( 2.50 X 6) which equals 22.50

Answer:

Answer:

62 days

Step-by-step explanation:

496/8 = 62

496/8=62

Hope this helps!

Answer:

y = 3x + 1

Step-by-step explanation:

Answer: y = 3x + 1

Step-by-step explanation:

Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.

For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).

Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.

To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.

Plug in 1 for b and you end up with y = 3x + 1

Answer:

x= 5/3

Step-by-step explanation:

You would set the equations equal to each other, so 2x + 3 = -x + 8. Then, you would add the x to the 2x making it 3x. That makes your equation 3x + 3 = 8. Then you subtract the 3 making the equation 3x = 5 and then you would divide the 3 making your answer 5/3.

Answer:

Option D is correct.

Step-by-step explanation:

2/5 + 4/10

=> 2/5 + 2/5

=> 4/5

4/5 = 8/10

Therefore, Option D is correct.

Hoped this helped.