Evaluate - 15.85 + y for the following values of y.
value of y value of expression
-32.1 -47.95
-63.06
-84.703
-8.115

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

[tex]5y-7x=12[/tex]

[tex]5y-7x-12=0[/tex]

[tex]5y-12=7x[/tex]

Therefore, [tex]7x=5y-12[/tex]

Now replace the 7x in the first equation with 5y - 12:

[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)

[tex]2y+(5y-12)=-5[/tex]

[tex]7y-12=-5[/tex]

[tex]7y=7[/tex]

[tex]y=1[/tex]

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

[tex]7x=5y-12[/tex] (substitute in y = 1)

[tex]7x=5(1) -12[/tex]

[tex]5x=5-12[/tex]

[tex]7x=-7[/tex]

[tex]x=-1[/tex]

__________________________________________________________

Answer:

[tex]y=1\\x=-1[/tex]

Answer:

A)-10/-7 I hope the answer is correct . I will be happy when I get 5 points

Answer:

c. golden mean

Answer:

c. Incorrect

Step-by-step explanation:

According to the third sentence in assumption "Some employees who attend both training programmes are in Department B.", it is clear that there are certain employees in department B, who are attending both the training. Hence, all the employees who attend the sales training programme and who attend the technical training programme are not in Department A. Some of them are in department B as well.

Therefore, the conclusion is not correct and the final answer is:

c. Incorrect

Step-by-step explanation:

50% × 1/3

= 1/2 × 1/3

= 1/6

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Answer:

20%

Step-by-step explanation:

She needs to improve her average by the difference between her 2 grades

That difference is 15 points and is a 20% increase

Using the fromula for increase/ initial value x 100= new %

so (90-75)/75 x 100 = 15/75 x 100 which is then equal to 20%

Answer:

No solution

Step-by-step explanation:

Unfortunately your screenshot has cut off the final answer choice, if it says "no solution" you should choose that because these two lines are parallel. Meaning they will never intersect, and the point of intersection is usually the solution.

Answer:

y=41−11x

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=5−11x.

The slope of the parallel line is the same: m=−11.

So, the equation of the parallel line is y=−11x+a.

To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.

Thus, a=41.

Therefore, the equation of the line is y=41−11x.

Answer: y=41−11x.

Answer:

y=41−11x

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=5−11x.

The slope of the parallel line is the same: m=−11.

So, the equation of the parallel line is y=−11x+a.

To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.

Thus, a=41.

Therefore, the equation of the line is y=41−11x.

Answer:

Step-by-step explanation:

x+a=c

x=c-a

Answer:

the answer is 144(that is 6×24)

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 20 hours, standard deviation of 6:

This means that [tex]\mu = 20, \sigma = 6[/tex]

Sample of 150:

This means that [tex]n = 150, s = \frac{6}{\sqrt{150}}[/tex]

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}[/tex]

[tex]Z = 2.04[/tex]

[tex]Z = 2.04[/tex] has a p-value of 0.9793

X = 19.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}[/tex]

[tex]Z = -1.02[/tex]

[tex]Z = -1.02[/tex] has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Answer:

D) - 8

Step-by-step explanation:

If the function graphed is the right function and the question is asking for f(4), this means the question is just asking for the y value when x is equal to 4. Looking at the graph, we can see this is -8.

Answer:16:20

Step-by-step explanation:

Answer:

11.46 meters

Step-by-step explanation:

12min 30sec = 12.5min

55km/h * 12.5min * 1h/60min = 11.4583333333meters

Answer:

$7.125

Step-by-step explanation:

1 lb = 16 oz

Cost per ounce

19 / 16 = $1.1875/oz

Cost for 6 oz portion

6 * 1.1875 = $7.125

Answer:

your just putting the numbers at the bottom into the line plot . so let's say  there is 333 u would up the three 3 on the plot .

Step-by-step explanation:

hope this helps let me know if u need a better explanation

Answer:

See The Image Below:)

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

From the question, we can deduce the following points;

- 12 less than x which simply means 12 subtracted from x.

- the value of the above expression is equal to 51.

Translating the word problem into an algebraic expression, we have;

x - 12 = 51

Rearranging the equation (collecting like terms), we have;

x = 51 + 12

x = 63

Answer:

b.

Step-by-step explanation:

Parallel lines have the same slope.

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20 feets

Answer:

B. All non zero real numbers

Step-by-step explanation:

I calculated it logically

Answer:

Step-by-step explanation:

correct me if I'm wrong:)

Answer:

The first car's speed is 40 mph. 2 hours at that rate equals 80 miles. So:

140-80=60

60 miles/2 hours=30 mph as the rate of the second car.

Step-by-step explanation:

Answer:

D. Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for the given situation.

Step-by-step explanation:

I got it right on the practice

Answer:

Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for

the given situation.

Answer:

Following what?

Step-by-step explanation:

I'll go with Sales Tax

Answer: The answer is neither because the slopes are 2/7 and 7/2.

Step-by-step explanation:

While these answers look like they are perpendicular, they are not since the signs are the same. If they were perpendicular the signs would be different. Ex: 2/7 and -7/2. These points are perpendicular since their signs changes as well as being "flipped".

:)

Answer:

148 children and 140 adults were admitted.

Step-by-step explanation:

Given that the admission fee at an amusement park is $ 3.50 for children and $ 13.00 for adults and on a certain day, 288 people entered the park, and the admission fees collected totaled $ 2,338.00, to determine how many children and how many adults were admitted you must be perform the following calculation:

13 - 3.5 = 9.50

288 x 3.50 = X

1.008 = X

2338 - 1008 = 1330

1330 / 9.5 = 140

288 - 140 = 148

148 x 3.5 + 140 x 13 = X

2338 = X

Therefore, 148 children and 140 adults were admitted.