60. Write the equation of a line through the point (-2,6) with a slope -5.

Answer:

0.04x = 19

x = 475

Step-by-step explanation:

19 + 0.12x = 0.16x

Take away 0.12x from both sides

19 = 0.04x

Divide 19 by 0.04 to find x

x = 475

Answer:

475

Step-by-step explanation:

First, you have to simplify the equation by moving all the like terms to one side of the equal sign.

This entails the taking of 0.12x to the right side of the equal sign.

Remember, when we take anything over the equal sign if it was a positive sign like in this case, it becomes a negative one and the opposite is true if the sign was negative.

So we have

19=0.16x - 0.12x

We then simplify further and get the equation

19=0.04x

To obtain the true value of x, we divide both sides of the equation by 0.04x as follows:

19/0.04=0.04x/0.04

We then find that

x= 475

Answer:

12

Step-by-step explanation:

335 + 13.75x = 500

Subtract 335 from each side

13.75x = 165

Divide each side by 13.75

x = 12

You can attend 12 dance classes with $500.

9514 1404 393

Answer:

  12 classes

Step-by-step explanation:

The total cost for c classes will be ...

  335 + 13.75c = 500

  13.75c = 165 . . . . . . . . . .subtract 335

  c = 12 . . . . . . . . . . . divide by 13.75

You will take 12 classes.

Answer:

  (a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

__

Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

Answer: Not Function

Step-by-step explanation:

The pattern is not consistent.

This is an interesting problem.

But first, let us define what are the three possible cases :

A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.

Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.

Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7

where a = 1 and b = - 7.

Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.

Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.

Inconsistent : A system of equation is Inconsistent if it haas no solutions.

Now, with those definitions above, we can work on our problem :

1. x + y = - 7 and x + y = - 4

Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent

2. Same line : consistent dependent

3. Parallel Lines : Inconsistent

4. Lines cross at exactly one point :Consistent Independent

5. Lines cross at exactly one point : Consistent Independent.

You can see the graph of each systems in the pictures attached below.

Good luck, you will succeed :)

Answer:

Hmmm, maybe this?

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer

Answer:

Step-by-step explanation:

the answer is 10

Answer:

No, it is not a linear function, rather a rational function

Step-by-step explanation:

Because the term on the left-hand side contains both x and y, then neither variable varies directly with the other, hence, it's a rational function:

2yx=4

yx=2

y=2/x

Answer:

360

Step-by-step explanation:

Answer:

360 quarts

Step-by-step explanation:

300/10=30

30*12=360

Answer:

yes

Step-by-step explanation:

the relationship between the hours and miles traveled is a direct relationship therefor would be able to be graphed as a linear function.

Answer:

x = -1, y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:

12y = 24

Now solve normally:

y = 2

Then substitute into the first equation (or second, it doesn't matter)

6x + 10 = 4

6x = -6

x = -1

Answer:

1. 9

2. 5

Step-by-step explanation:

Answer:

A would be 9 and I am not sure about B.

Step-by-step explanation:

when a number is in | | these lines then they will always come out positive.

We can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

To determine whether the mean serum protein level of the group of 16 children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml, we can perform a hypothesis test.

Let's denote:

μ1 = Mean serum protein level of the general population (assumed to be 7.0g/100ml)

μ2 = Mean serum protein level of the group fed on high protein food

The null hypothesis (H0) would be that there is no difference between the mean serum protein levels of the two groups:

H₀: μ₁ = μ₂

The alternative hypothesis (Ha) would be that there is a difference between the means:

Hₐ: μ₁ ≠ μ₂

Next, we calculate the sample mean and standard deviation of the group that received high protein food from the given serum protein values.

Assuming the serum protein values (in g/100ml) for the 16 children are as follows:

8.2, 7.6, 7.8, 7.4, 8.0, 7.9, 7.7, 7.5, 7.2, 7.3, 8.1, 7.6, 8.3, 8.0, 7.8, 7.9

Sample mean (x') = (sum of values) / (number of values) = (121.8) / (16) ≈ 7.613 g/100ml

Sample standard deviation (s) ≈ 0.352 g/100ml

Next, we perform a two-sample t-test (assuming equal variances) to compare the means of the two groups. We use the formula:

t = (x'₁ - x'₂) / √[(s₁² / n₁) + (s₂² / n₂)]

where x'₁ and x'₂ are the sample means of the two groups, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Substituting the values, we get:

t ≈ (7.613 - 7.0) / √[(0.352² / 16) + (0.0² / 16)] ≈ 3.584

Now, we need to find the critical t-value at a given significance level (commonly set at 0.05) and degrees of freedom (df = n1 + n2 - 2). Since we have 16 + 16 - 2 = 30 degrees of freedom, the critical t-value (two-tailed test) is approximately 2.042.

Since the calculated t-value (3.584) is greater than the critical t-value (2.042), we reject the null hypothesis (H0). This means that there is a significant difference between the mean serum protein levels of the two groups.

In conclusion, based on the given data and the hypothesis test, we can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.

To learn more about hypothesis click on,

https://brainly.com/question/33445215

#SPJ4

well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.

Answer:

-4+7x-3=-21+-4=-25

Step-by-step explanation:

Answer:

distributive property

Step-by-step explanation:

I ASSUME that you meant to lead the equation with a negative sign.

- 10x + 11x = (-10 + 11)x

Answer:

1

Step-by-step explanation:

Answer:

So lets isolate y

we have

-2x+3y=9

2/3x +2y=0

Im gonna do the first equation

so -2x + 3y = 9

Add 2x on both sides

3y= 9+ 2x

Now divide by 3 to isolate y

y= 3+ 2/3x

Now we can subsitute y into any eqaution (I’m gonna do the second one) to solve.

2/3x+ 2(3+ 2/3x)= 0

Solve:

2/3x+ 6 + 4/3x = 0

6/3x +6= 0

2x+6=0

2x= -4

x= -2

Now we can subsitute this for any equation.

so I’m gonna do the first equation

-2(-2)+3y=9

4+3y=9

3y= 5

y= 5/3

y= 1 2/3

Final answer:

x=-2

y= 1 2/3

#5

Compare

[tex]\\ \sf\longmapsto \dfrac{2}{5}>\dfrac{2}{7}[/tex]

#6

[tex]\\ \sf\longmapsto \dfrac{1}{2}=\dfrac{2}{4}[/tex]

Compare

[tex]\\ \sf\longmapsto \dfrac{2}{4}<\dfrac{3}{4}[/tex]

Sonali was faster

Answer:

[tex]1)6000m \\ \\ 2)0.008km \\ \\\ 3)100ml \\ \ \\ 4)30000g \\ \\ 5)0.034g[/tex]

MARK ME AS A BRAINLIST PLZ

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

Answer:

20:12

Step-by-step explanation:

if you multiply 5:3 by 4, they'll end up with 20:12.

Answer:B

Step-by-step explanation:

A: cannot be because it’s the same but the -m is not equal .

B: is the same as ,and B: because 2 (minus number) = right number .

C:Is nOne oF the AboVe

Sorry if explanation is not clear but yes it’s is 99% B ;)

But I do think it is wrong…

Hope you have a. Great day!

:)

Answer:

[tex]\huge\boxed{(x+7)(x+4)}[/tex]

Step-by-step explanation:

To factor a polynomial expression with a degree of 2, simply look at the second and last term (11x and 28).  Discard the x and you are left with 11 and 28.  

To factor the equation, simply find two numbers that add to 11, and multiply to 28, 4 and 7.  Then, simply use those two numbers to make the terms.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

proportion of ratio will be used

Answer:

C. 1 4/10 + 9/10 + 6/10

got it right

Using simple interest, it is found that:

a) The monthly payment will be of $222.57.

b) In total, the car will cost $18,251.9275.

c) $16,025.1775 will be paid in interest.

The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:

[tex]A(t) = P(1 + rt)[/tex]

In this problem:

Item a:

The amount of money accrued will be of:

[tex]A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 [/tex]

Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:

[tex]m = \frac{16025.1775}{72} = 222.57[/tex]

The monthly payment will be of $222.57.

Item b:

The total cost is composed by:

Hence:

[tex]T = 0.15(14845) + 16025.1775 = 18251.9275[tex]

In total, the car will cost $18,251.9275.

Item c:

As found in item a, $16,025.1775 will be paid in interest.

A similar problem is given at https://brainly.com/question/13176347