what value of x makes this equation true? 15-7x=5x-21​

Answer:

Estimate.

18,185 + 493 = 20,000 + 500 = 25,000

Step-by-step explanation:

18,185 + 493

18,185 rounded to the nearest ten thousand is 20,000

493 rounded to the nearest hundred is 500

Answer:

4,100

Step-by-step explanation:

Let x be increase in the price % and f(x) be revenue

Revenue = Sales price*Total number hot dog sold

Hot dog sold = $4/dog

Now when increase in $0.25. Then, Revenue f(x) = (4+0.25x) (500 - 200x)

f(x) = 2000 - 800x + 1250x - 50x^2

f(x) = -50x^2 + 450x + 2000

To maximize revenue, we have to find f1(x) and find the value of x for which f1(x) = 0

f1(x) = -100x + 450

0 = 0100x + 450

x = 4.5

Hence, to maximize profit number of hot dog they sell: 5000 - 200(4.5)

= 5000 - 900

= 4100

Thus, the number of hot dog sold = 4,100

Answer:

[tex]y=\frac{3}{2} x+1[/tex]

Step-by-step explanation:

[tex]y=mx+b\\\\-8=\frac{3}{2} (-6)+b\\\\-8=-9+b\\\\b=1\\\\y=\frac{3}{2} x+1[/tex]

Answer:

x=7

Step-by-step explanation:

3(2x - 5) = 9(10 - x)

6x-15=90-9x

6x+9x=90+15

15x=105

x=7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

First, we need to expand the brackets:

[tex]3(2x-5)=9(10-x)[/tex] (equation given)

[tex]6x-15=90-9x[/tex]

[tex]15x -15 = 90[/tex] (add [tex]9x[/tex] on both sides)

[tex]15x = 105[/tex] (add [tex]15[/tex] on both sides)

[tex]x = 7[/tex] (divide by [tex]15[/tex] on both sides)

Hope this helps :)

Answer:

Please check the explanation below.

Step-by-step explanation:

Given the equations

[tex]6x+18y+6z=24,\:-x-3y-2z=-4,\:2x+6y+2z=8\:\:[/tex]

Steps to solve

[tex]\begin{bmatrix}6x+18y+6z=24\\ -x-3y-2z=-4\\ 2x+6y+2z=8\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}x=4-3y-z[/tex]

[tex]\begin{bmatrix}-\left(4-3y-z\right)-3y-2z=-4\\ 2\left(4-3y-z\right)+6y+2z=8\end{bmatrix}[/tex]

As

[tex]-\left(4-3y-z\right)-3y-2z=-4[/tex]

[tex]-z-4=-4[/tex]

and

[tex]2\left(4-3y-z\right)+6y+2z=8[/tex]

[tex]8=8[/tex]

so

[tex]\begin{bmatrix}-z-4=-4\\ 8=8\end{bmatrix}[/tex]

Isolating z for [tex]-z-4=-4[/tex]

[tex]-z-4=-4[/tex]

[tex]-z=0[/tex]

[tex]\frac{-z}{-1}=\frac{0}{-1}[/tex]

[tex]z=0[/tex]

[tex]\mathrm{For\:}x=4-3y-z[/tex]

[tex]\mathrm{Expressing\:}x\mathrm{\:in\:terms\:of\:}y[/tex]

[tex]x=4-3y-0[/tex]

[tex]x=-3y+4[/tex]

Therefore,

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-3y+4,\:z=0[/tex]

Answer:

B IS THE ANWSER

Step-by-step explanation:

.

Answer: 3/10

Step-by-step explanation:

2/7= 20/70

3/10= 21/70

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

Step-by-step explanation:

Answer:25

Step-by-step explanation: 200/8=25x5=125

Answer:

The answer is D.

Answer:

i did this in Algebra 1

it's D.

Step-by-step explanation:

:)))

Answer:

0.94secs

Step-by-step explanation:

Given the function below that models the distance of the softball from the ground in meters after t seconds expressed as;

h(t)=-4.9t^2+5t+9

The ball hits the ground when the height h(t) is zero

Substitute h(t) = 0 into the expression and calculate the value of t;

0 = -4.9t²+5t+9

Multiply through by 10;

0 = 49t²+50t+90

-49t²+50t+90 = 0

Factorize;

t = -50 ±√50²-4(49)(90)/2(49)

t = -50±√2500+17640/98

t = -50±√20140/98

t = -50+141.92/98

t = 91.92/98

t = 0.94 secs

Hence it takes 0.94secs for the softball to hit the ground

Answer:

The equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

Step-by-step explanation:

We know the equation of exponential function such as

[tex]f(x) = ab^{x}[/tex]

Put x=0, and y=2 in the function

[tex]2 = ab^{0}[/tex]

[tex]2 = a[/tex]

Also x=1, and y=8 in the function

[tex]8 = 2b^{1}[/tex]

[tex]b=4[/tex]

Thus,

[tex]f(x) = ab^{x}[/tex]

        [tex]= 2(4)^{x}[/tex]

Therefore, the equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

Answer:

C

Step-by-step explanation:

got it right

Answer:

an item marked down 20% to $9.60

Took it on edge Have a splendid day <3

Answer:

Probability is 0.243

Step-by-step explanation:

Probability of success p = 76% = 76/100 = 0.76

Probability of failure q = 1 - p = 1-0.76 = 0.24

We can now proceed to use Bernoulli approximation of the Binomial theorem

We have

P( X = 7) = 10 C 7 p^7 q^3

P(X = 7) = 120 * 0.1465 * 0.013824

P(X = 7) = 0.242946203712

This is approximately 0.243

Answer:

0.243

Step-by-step explanation: if you stop to count step by step you will get your answer of 0.243

Answer:

Step-by-step explanation:

For this equation you want to start with signing the equation for the best line of fit. You’re going to take your year in and your rabbitsFrom the table and you’re going to find the slope in the Y intercept which would be your MX and you’re B. If you used as most you want to pull up a table in the graphing calculator and into your data there when you get there and the next box under your table you’re going to put y1~mx1+b There it will show you your slope and your intercept along with other things you will need to know for the equation when you get here sleeping when you said you’re going to round to the second decimal place and then you should get y=8.2x-16451.3 Which will be your best line of fit. Now when you’re trying to estimate the number rabbit at the farm In 2016 you want to put your year where X is so you’ll input your 2016 where x is and you should get 8.2(2016)-16451.3From there you solve it and you’re around to the second decimal space and there you have your just wanna sit and your estimate

Answer:

-18y + 7yz - 4z

Step-by-step explanation:

Answer:

A relation is...

A set of points that pair input values with output values.

Is the following graph a function?

Yes

Step-by-step explanation:

Answer:

The correct option is;

(E) P(full time) × P(credit card debt over $5,000)

Step-by-step explanation:

The given parameters are;

The mode of employment of a person = Full time

The amount of debt in the credit card = More than $5,000

The probability that a person works full time = P(full time)

The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)

Therefore, the probability that someone who works full time has more than $5,000 in credit card debt =  P(full time) × P(credit card debt over $5,000)

Answer:a

Step-by-step explanation:

Because if you input 5 into -3x as the x axis, that turns in -15, then afterwards, you would add the 5 to -15 which then adds up to -10.

Answer:

hm

Step-by-step explanation:

m

Answer:

24

Step-by-step explanation:

Given the direction required to solve the problem :

multiply the whole number and the numerator.

Once you find the product divide that by the denominator

Simplify :

64 divided by 3/8

Multiply 64 by the numerator of the fraction :

64 * 3 = 192

Divude the result by the denominator of the fraction :

192 / 8 = 24

Hence, 64 * 3/8 = 24

Answer:

The actual answer is C

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

1. What is the 5th term of the arithmetic sequence an= 5n + 1 ?

This will be:

= 5n + 1

= 5(5) + 1

= 25 + 1

= 26

2. What is the next 3 terms of the Fibonacci sequence 0, 1, 1, 2, 3, 5,....

Fibonacci sequence means that you'll add the two previous numbers given to get the next number. Therefore, the next numbers will be:

3+5 = 8

5+8 = 13

8 + 13 = 21

The numbers are 8, 13 and 21.

3. What are the missing numbers in the sequence 4, ---,_,_, 64 ?

a = 4

ar^4 = 64

We replace a with 4

4r^4 = 64

r^4 = 64/4

r^4 = 16

r = 2

2nd term = ar = 4 × 2 = 8

3rd term = ar^2 = 4 × 2^2 = 4 × 4 = 16

4th term = ar^3 = 4 × 2^3 = 4 ×✓8 = 32

The numbers are 8, 16 and 32.

4. What is the common ratio of the given sequence 3, -6, 12,-24, 48 ?

Common ratio = 2nd term / 1st term

= ar / a

= -6/3

= -2

5. What is the 10th term of the arithmetic sequence an = 3n - 5 ?

an = 3n - 5

= 3(10) - 5

= 30 - 5

= 25

6. If a1 = 2, d = -2, then what is a 12?

a12 = a + (n - 1)d

a12 = a + (12 - 1)d

a12 = a + 11d

a12 = 2 + 11(-2)

a12 = 2 - 22

a12 = -20

7. What is the common ratio of the given sequence 1000, 500, 250, 125?

Common ratio = 2nd term / 1st term

= 500 / 1000

= 1/2

8. What is the 8th term of the sequence -10, - 8, -6, -4, ...?

a = -10

d = -8 - (-10) = -8 + 10 = 2

8th term = a + (n - 1)d

= a + (8 - 1)d

= a + 7d

= -10 + 7(2)

= -10 + 14

= 4

9. What is the Khmer greetings?

It is a greeting used by Cambodians when they meet and they will say Choum Reap Sur which simply means Hello. Also, when they're leaving they'll Som Pas and then the person will say Choum Reap Lir which mean Goodbye. It should be noted that Don Pas is used by Cambodians to greet and to also show respect for someone.

Answer:

(AD)^2=(AB)^2-(BD)^2

(AD)^2=(15)^2-(12)^2

(AD)^2=225-144

AD=√81

AD=9.

Answer:

y=1/2x-2

Step-by-step explanation:

Answer:

4 units

Step-by-step explanation:

C

Answer:

Option B

Step-by-step explanation:

In order to find the answer you must use the formula for slope, substitute the values, and solve.

[tex]P = (0,2) = (x1,y1)[/tex]

[tex]P=(-10,-16)=(x2,y2)[/tex]

[tex]Slope = \frac{y2-y1}{x2-x1}[/tex]

Substitute:

[tex]Slope = \frac{-16-2}{-10-0}[/tex]

Solve:

[tex]-16-2=-16+-2=-18[/tex]

[tex]-10+0=-10[/tex]

[tex]=\frac{-18}{-10}[/tex]

Reduce:

[tex]18\div2=9[/tex]

[tex]10\div2=5[/tex]

Remember that a negative divided by a positive equals a negative

[tex]=-\frac{9}{5}[/tex]

Hope this helps

Answer:

47

Step-by-step explanation:

180 - 133 = 47

Answer:

The measure of x is 47°

Step-by-step explanation:

180°-133°=47°

Answer:

(b) t+82=36

Step-by-step explanation:

When 82 is added to a number the resulting number is the same as 36.

Let t be the number in which 82 is added.

After addition the resulting number = t+82

As the resulting number is the same as 36, so,  

t+82 = 36

Hence option (b) is correct.