Simplify: 10x-5y+2x-3y

The solution of m for question 6 and the value of z for question 10 does not exist.

According to the question,

We have the following information,

6) 1/3 + 2m/3 = 2m/3-2/3

Now, moving the terms with the same variables in one side:

2m/3-2m/3+1/3 = -2/3

Now, when 2m/3 is subtracted from 2m/3 then we have no variable left.

So, the solution of this equation does not exist.

10) 2.5(2z+5) = 5(z+2.5)

Now, multiplying the numbers outside the bracket into bracket:

5z+12.5 = 5z+12.5

Moving the terms with the same variables on one side:

5z-5z+12.5 = 12.5

Now, when 5z is subtracted from5z then we have no variable left.

So, the solution of this equation does not exist.

Hence, the solutions of the equation 6 and equation 10 does not exist.

To know more about solution here

https://brainly.com/question/545403

#SPJ1

The transformation of the functions from f(x) to g(x) is translate 7 units right and 2 units up

The equations of the functions are given as

f(x) = 3x + 9

g(x) = 3x - 10

Let the translations from f(x) to g(x) be h and k

So, we have

g(x) = f(x + h) + k

This gives

f(x + h) = 3(x + h) + 9 + k

Open the brackets

f(x + h) = 3x + 3h + 9 + k

Substitute f(x + h) = 3x + 3h + 9 + k in g(x) = f(x + h) + k

g(x) = 3x + 3h + 9 + k

This means that

3x + 3h + 9 + k = 3x - 10

Evaluate the like terms

3h + 9 + k = - 10

This gives

3h + k = - 19

Express -19 as -21 + 2

3h + k = -21 + 2

Express 21 as 3 * 7

3h + k = -3 * 7 + 2

By comparison, we have

h = -7 and k = 2

This means that the transformation is 7 units right and 2 units up

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

The measure of the interior angle x is 48°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

We know that sum of all the interior angles of a triangle is 180°.

The measure of an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Given, An exterior angle that measures 64° and two opposite interior angle measuring 16° and x°.

∴ x° + 16° = 64°.

x = (64 - 16)°.

x = 48°.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ1

The probability that you have a peanut allergy given a positive test result is 50%.

To find the probability that you have a peanut allergy given a positive test result, we can use Bayes' theorem.

Let's define the following events:

A: You have a peanut allergy.

B: The test result is positive.

We are given the following probabilities:

P(A) = 1/5 = 0.2 (1 in 5 individuals is allergic to peanuts).

P(B|A) = 0.4 (if you have a peanut allergy, the test will give a positive result 40% of the time).

P(B|not A) = 0.1 (if you don't have a peanut allergy, the test will give a positive result 10% of the time).

We want to find P(A|B), which is the probability that you have a peanut allergy given a positive test result.

Bayes' theorem states:

P(A|B) = (P(B|A) × P(A)) / P(B)

Now, let's calculate P(B):

P(B) = P(B|A) × P(A) + P(B|not A) × P(not A)

P(not A) is the probability of not having a peanut allergy, which is equal to 1 - P(A):

P(not A) = 1 - P(A) = 1 - 0.2 = 0.8

Now, we can calculate P(B):

P(B) = (0.4 × 0.2) + (0.1 × 0.8) = 0.08 + 0.08

= 0.16

Now, let's calculate P(A|B) using Bayes' theorem:

P(A|B) = (P(B|A) × P(A)) / P(B)

P(A|B) = (0.4 × 0.2) / 0.16

P(A|B) = 0.08 / 0.16

P(A|B) = 0.5

Therefore, the probability that you have a peanut allergy given a positive test result is 50%.

Learn more about probability click;

https://brainly.com/question/32117953

#SPJ12

Answer:

Yes, it is possible

Step-by-step explanation:

Take a function y= f(x). When it is reflected across the x-axis the x-coordinates do not change but the y coordinates become the negative of the pre-image

In other words reflection f'(x) of f(x) over the x-axis is y = -f(x)

If we reflect f'(x) over the x-axis then the resultant reflection is

f''(x) = -f'(x) = -(-f(x)) = f(x)

So we get the original image after two consecutive reflections along the x-axis

============================================================

Explanation:

m = 1 is the given slope

(x1,y1) = (6,-2) and (x2,y2) = (h,-3) are the two points on a line of slope 1.

Let's use the slope formula to find h

[tex](x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (h,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\1 = \frac{-3 - (-2)}{h - 6}\\\\1 = \frac{-3 + 2}{h - 6}\\\\1 = \frac{-1}{h-6}\\\\1(h-6) = -1\\\\h-6 = -1\\\\h = -1+6\\\\h = 5[/tex]

------------------

The point (h,-3) updates to (5,-3).

The slope of the line through (6,-2) and (5,-3) is 1.

Use the slope formula to confirm this.

[tex](x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (5,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - (-2)}{5 - 6}\\\\m = \frac{-3 + 2}{5 - 6}\\\\m = \frac{-1}{-1}\\\\m = 1\\\\[/tex]

The answer is confirmed.

Answer:...

Step-by-step explanation:

Answer:

Step-by-step explanation:

I believe the equation would be 3(f-5)=60.

The answer to that equation would be:

3(f-5)-60

3f-5=60           Open parentheses

3f=60+5            Take 5 to the other side

3f=65                 Add 60 and 5

f=65/3               Divide the sum of 60 and 5 with 3

f=21.6 Answer

Answer:

6.9

Step-by-step explanation:

6 4/5 in decimal form is 6.8.
6.9 is higher than 6.8 but lower than 7.

The withdrawal of $170 can be represented as -$170.

Since withdrawal results in a deduction of the money from the total amount, Hence, it will be represented as a negative value.

To learn more about Integers, refer to:
https://brainly.com/question/1768255

#SPJ13

Answer:4 and 3

Step-by-step explanation:

From the graph, the athlete spent 2 hours biking (from hour 1 to hour 3)

And, the athlete spent 3 hours running (from hour 3 to hour 6)

Then, the athlete spent equal amounts of time biking and running is false

Answer: b = -5

Step-by-step explanation:

-10 = 5/7 (-7) +b

-10 = -5 + b

-5 = b

Answer:

answer c=3p in different ways.

Step-by-step explanation:

so the first one I think you put muliplys of 3..annd the second one you put a graph of 3

Answer:

He is expected to pay $2.73

Explanation:

We can solve this, by adding 0.39 7 times:

Thus, 7 pound of bananas cost $2.73

Answer:

(x, y) to (-y,-x)

Step-by-step explanation:

You have to find the reflection which is the opposite so the opposite of x is -x the opposite of y is -y!

Answer:

True

False

False

False

Step-by-step explanation:

1) a rhombus is a quadrilateral that has four equal sides.  The angles do not have to be 90°, but if they are 90°, it would be a square.

2) Rhombus has all four sides equal  A rectangle does not have to have all four side lengths equal.

3) A quadrilateral means that it is a four sides figure.  A rectangle is a 4 sided figure will parallel sides and opposite sides of equal length.

4) Parallelograms mean that the opposite sides have to be equal.  A rectangle is a parallelogram, but it does not have to be a square.

The probability of getting more than 52 girls in 100 births is 0.3446

This is further explained below.

Generally,  The ratio of females to boys per one hundred births is modeled here as:

[tex]\large X \sim Bin(n = 100, p = 0.5)[/tex]

Where

Bin shows binomial

n=sample size

p=sample proportion

The following is an approximation of this using the normal distribution:

[tex]\large X \sim N(\mu= np, \sigma^2 = np(1-p))\\\\\large X \sim N(\mu= 100*0.5 , \sigma^2 = 100*0.5*0.5)\\\\\large X \sim N(\mu= 50 , \sigma^2 = 25)\\\\\large X \sim N(\mu= 50 , \sigma = 5)[/tex]

In light of this, the formula for calculating the probability is as follows:

P(X > 52)

When we take into account the continuity correction factor, we obtain the following:

P(X > 52.5)

After transforming it into a regular variable according to the standards, the following is what we get:

P(Z > (52.5 - 50) / 5)

= P(Z > 0.5)

Taking this information from the usual normal tables, we get the following:

P(Z > 0.5) = 0.3085

in conclusion, the necessary probability in this scenario is 0.3085. It should be noted that we may do this without correcting the continuity, in which case:

P(X > 52)

[tex]= P(Z > (\frac{52 - 50}{ 5})[/tex]

= P(Z > 0.4)

= 0.3446

Hence, the necessary probability in this scenario is 0.3446.

Read more about probability

https://brainly.com/question/11234923

#SPJ1

The statement that best describes the depth of the fish based on the given equation is: C. From the starting position of 3 meters below sea level, the fish is descending 7 meters per second.

A negative slope implies a negative constant rate of a linear equation. In slope-intercept form, the linear equation is expressed as y = mx + b, where the constant rate is represented as "m", while the starting value is represented as "b".

In the given scenario, the equation y = -7x - 3 models the depth, y, the fish swims below the sea level at x number of seconds.

This implies that:

The starting value (b) = -3, represents the starting position of the fish, which is 3 meters below the sea level.

-7 is the constant rate of the linear equation, which is the rate at which the fish is descending below the  sea level, which is: 7 meters per second. The best statement is therefore: C.

Learn more about linear equation on:

https://brainly.com/question/9101988

#SPJ1

The number of seasoning batches required by the teacher is 4.

Given, there are 26 students in a class.

The teacher is adding 1 batch of hawaiian popcorn seasoning to 13 cups of popcorn.

Each student gets 2 cups of popcorn.

If 26 students are getting 2 cups of popcorn, then the total cups required by the students will be :

26×2

= 52 cups.

Now, one batch of seasoning is consumed by 13 cups.

how many batches of seasoning will be required for 52 cups = ?

⇒ 13 cups + 13 cups + 13 cups + 13 cups = 52 cups

Hence 4 batches of seasoning is required for 26 students to get two cups each popcorn with seasoning.

Therefore 4 batches of seasoning the teacher used.

Learn more about Solving equations here:

brainly.com/question/1214333

#SPJ1

the base-ten representation for 19! = 121,6T5,100,40M,832,000 then

H+M+T =12

19! has three 5s so it will end with three 0s.

Hence H = 0

19! = 121,6T5,100,40M,832,000 = 121,6T5,100,40M,832 * 1000

19! has many 2s. So M832 will be divisible by 16 (last 4 digits).

So M000 + 832 is divisible by 16. 832 is completely divisible by 16. Since 16*5 = 80, 8000 must be divisible by 16.

M = 8

19! = 121,6T5,100,408,832,000

Since 19! is divisible by 9, sum of all digits must be divisible by 9.

1+2+1+6+T+5+1+4+8+8+3+2 = T + 41

To make this divisible by 9, T must be 4.

H+M+T = 0 + 8 + 4 = 12

learn more about of representation here

https://brainly.com/question/27987112

#SPJ4

In the given figure, RL, LG and RG are line segments, which are portions of a line q connecting two endpoints.

Therefore, RL, LG and RG a are another name of line q.

LQ is not another name of line q.

So, option B is correct.

Answer:

We're given a least-squares regression equation that we can use to predict weight (in kilograms) from a given length (in centimeters). The question asks to predict the weight of a fish that is 70cm long, so let's plug in 70 for "length" and solve for the predicted weight: logweight = 3.08  (log length) -5.07

(logweight) 3.08 (log 70) - 5.07

(logweight) ≈ 3.08 (1.84) - 5.07

log weight ≈ 0.613

Next, we use the fact that these are base 10 logarithms and the definition of a logarithm to solve for the predicted weight:

log₁₀ (weight) ≈ 0.613

Taking logarithms on both sides

weight ≈ 10₀.₆₁₃

weight ≈ 4.1

According to this model, the predicted weight for a 70 cm long Florida bass is about 4.1kg.

​

Answer:

Given that,

Karen Gaines invested $14,000 in a money market account with an interest rate of 1.75% compounded semiannually.

Six years later, Karen withdrew the full amount to put toward the down payment on a new house.

To find the amount withdraw.

we know that, formula for finding amount of compound interest as,

where P is the principal, nis the number of years, r is the rate of interest per annum.

Given that, interest rate of 1.75% compounded semiannually, therefore number of years is 6x2=12 years.

Substitute the values we get,

Karen withdraws $17,240.15 from the account.

The final stock price will be equal to $87.57.

Percentage may be defined as a form of expressing a number as a fraction of hundred. To find the percentage of a number we divide the number by the total amount and then multiply the answer with hundred. We have the initial value of stock price as $83.60, and the stock price changed by 4.75%. Now, if we find 4.75% 0f $83.60 we get

(4.75/100) × $83.60 = $3.97 which is the change occurring in price. We add this amount in the initial amount and we get $83.60 + $3.97 = $87.57. If we look at the initial and final amount of stock, we see that Luis benefitted from the stock as he gained an amount of $3.97.

Learn more about Percentage at:

brainly.com/question/860173

#SPJ9

Answer:

A

Step-by-step explanation:

the slope of the line is a measure of the rate of change.

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line

m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

the rate of change of y with respect to x is 2

Answer:

A) 2

Step-by-step explanation:

Rise over run,

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]

-2 will be [tex]x_{1}[/tex] and -3 will be [tex]y_{1}[/tex]

2 will be [tex]x_{2}[/tex] and 5 will be [tex]y_{2}[/tex]

It doesn't matter which order you place the points, for [tex]x_{1}[/tex], or [tex]x_{2}[/tex] but  [tex]x_{1}[/tex] and and [tex]y_{1}[/tex] must be one point while [tex]x_{2}[/tex] and [tex]y_{2}[/tex] must be one point.

Then, we replace the values to find:

[tex]\frac{5-(-3)}{2-(-2)}[/tex]

We then simplify this expression to [tex]\frac{8}{4} = 2[/tex]

Therefore, our slope for this function is 2

The point slope equation of the line that passes through the points (-4,8) and (4,4) is x + 2y = 12   .

The point slope form of the line passing through the points (x₁,y₁) having slope as m is given by the formula .

y-y₁ = m(x-x₁)

In the question ,

it is given that

the required line passes through the points (-4,8) and (4,4) ,

So , the slope(m) is = (4-8)/(4-(-4)

= -4/8

= -1/2

the equation of the line passing through (4,4) and slope as -1/2 in the point slope form is

(y-4) = -1/2(x-4)

y - 4 = (-x + 4)/2

2y-8 = -x + 4

x + 2y = 12

Therefore , The point slope equation of the line that passes through the points (-4,8) and (4,4) is x + 2y = 12    .

The given question is incomplete , the complete question is

Write the point slope equation of the line that passes through the points (-4,8) and (4,4) .

Learn more about Point Slope Form  here

https://brainly.com/question/28895991

#SPJ1

Answer:

y - 4 = -1/2 (x-4)

Step-by-step explanation:

thats the answer on khan

The simplest form is [tex]\frac{11}{2}[/tex] .

fraction, In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given that,

−2(−1 1/4)

Multiplying the numerator with numerator and denominator with denominator. According to integer multiplication of two negative terms is always positive.

= [tex]\frac{22}{4}[/tex]

The simplest form =  [tex]\frac{11}{2}[/tex]

Hence, The simplest form is [tex]\frac{11}{2}[/tex] .

To learn more about fraction from the given link:

https://brainly.com/question/17220365

#SPJ9