PLEASE HELP ME!
What is the Value of X in the solution to this System Of Equations?

5x+2y= 67

X=3y-7

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

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

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

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

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

Answer:

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:

12742.84$

Step-by-step explanation:

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

Answer:

9 cookies are left

Step-by-step explanation:

36 - 9 = 27

27 · 1/3 = 9

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.

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:

62 days

Step-by-step explanation:

496/8 = 62

496/8=62

Hope this helps!

Answer:

area = 28.27433

Circumference = 18.84956

Step-by-step explanation:

I hope that this helps!!

Answer:

22.84

Step-by-step explanation:

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:

(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

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.

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]

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:

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: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

Answer: words like straight, symmetrical, aligned.

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:

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:

its going up by 5 every time

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