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The graph of the system of equations y= 2x+3 and y= x+5 is shown on the coordinate plane (image included). What is the solution to the system of equations?

Answer:

13

Step-by-step explanation:

26.5 - 13.5 = 13

Answer:

90

Step-by-step explanation:

each minute on the clock is 6 degrees so 6*5=30= 1 hour

30*3=90 because 3 hours

Answer:  60

8 + 92 = 100

4 × 10 = 40

100 + 40 = 60

Answer:

[tex]60[/tex]

Step-by-step explanation:

[tex](8 + 92) - 4 \times 10[/tex]

[tex]100 - 4 \times 10[/tex]

[tex]100 - 40[/tex]

[tex]60[/tex]

Hope this helps!

Answer:

Do the area divided by the base on a calculator for the answer

Answer:

Height of the window= 25 inches

Step-by-step explanation:

Area of a parallelogram : base * height (of the side taken as base)

so height = area/base =  356.25/14.25 = 25 inches

Answer:

3.15 lbs or 50.4 oz

Step-by-step explanation:

multiply steak oz by the number of steaks

7.2 * 7 = 50.4

to convert oz to lbs divide by 16

50.4/16 = 3.15

your answer is 50.4 oz or 3.15 lbs

hope this helps:)

Answer:

49.12 ft squared

Step-by-step explanation:

1/2(6*8) = 24

1/2(16)pi = 8pi = 25.12

total: 49.12

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called Sampling Error , Option D is the correct answer.

Sampling error is the difference between the estimated value and the  true value if the whole population was enumerated while doing the sampling.

By following the sampling principles one can keep the sampling error to the minimum.

The knowledge of the sampling error  will help in evaluating the sampling process and defining gits efficiency.

The factors that affect Sampling Error are

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called sampling Error.

Therefore , Option D is the correct answer.

To know more about Sampling Error

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Answer:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Step-by-step explanation:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Answer:

12.4 and 12.39 = 4.836x12

Step-by-step explanation:

Answer:

3.5 Is the answer, this is dialation

Answer:

x = 28

Step-by-step explanation:

Since none of the current side values of Triangle 1 can be increased by the same values to represent Triangle 2, we have to divide the values of Triangle 1 by half.

T1 S1: 10 / 2 = 5

T1 S2: 8 / 2 = 4

T1 S3: 12 / 2 = 6

Now in order to find out the value that you need to multiply these sides by, you need to divide Triangle 2's values by Triangle 1's simplified side values.

T2 S1: 35 / 5 = 7

T2 S2: x / 4 = ?

T2 S3: 42 / 6 = 7

Triangle 2's Side 1 becomes 7 and Triangle 2's Side 2 becomes 7 as well. Because the value of x is unknown and both Triangle's sides seem to be the same value of 7, you can safely assume that Triangle 2's Side 2 will also have a value of 7.

x / 4 = 7

x = 7(4)

x = 28

#1

False

#2

False

#3

False

None of the above

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:

[tex]x=2\sin t[/tex]

[tex]\implies \sin t=\dfrac{x}{2}[/tex]

Substitute this into the given equation for [tex]y[/tex]:

[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]

Therefore, the Cartesian form of the parametric curve is:

[tex]y=\dfrac{3}{2}x[/tex]

Further Information

[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]

[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]

[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]

[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]

Answer:

60 degrees

Step-by-step explanation:

Angles in a triangle add up to 180

79 add 41 is 120

180 minus 120 is 60

The dot plot with the least variability will be C.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

The dot plot with the least variability will be C.

The graph is given below.

Learn more about dot plots here:

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Answer:

Jamel work one job per hour pays =$10

Jamel work Another pays=$15

Jamel Uniform costs=$50

Total situation=$7,500

Answer:

6.228

Step-by-step explanation:

Answer:

2 pounds (lbs)

Step-by-step explanation:

Answer:

This problem gives us the total amount of cans and it also gives us the total cost and asks us to find the cost of each can when every can costs the same amount.  To do this we need to $ to be on the top and the can on the bottom because we say price PER can.

[tex]\frac{total\ price}{total\ amount\ of\ cans}[/tex]

[tex]\frac{\$27.80}{10\ cans}[/tex]

[tex]\$2.78\ per\ can[/tex]

Therefore, our final answer is that each can costs $2.78

Hope this helps!  Let me know if you have any questions

Answer:

4cm

Step-by-step explanation:

sin(30) = 2/x (using trigonometry)

rearrange for x to give x = 2/sin(30)

then x = 4cm (using calculator)

SIMILARLY:

You can use 2/cos(60) to also give 4cm

Answer: 100

Step-by-step explanation:

▪︎ To find the mean we take the sum of the values and divide it by the number of values.

▪︎ Let x be your score on the second exam.

(84 + x) / 2 = 92

84 + x = 92*2

84 + x = 184

x = 100

Answer:

1/18

Step-by-step explanation:

I have provided a tree diagram showing all the possibilities

Answer:

[tex]P=\frac{2}{9}=0.222\\[/tex] for green ball

[tex]P=\frac{2}{8} =0.25[/tex] for red ball

Step-by-step explanation:

For green ball probability will be,

[tex]P=\frac{2}{9}=0.222\\[/tex]

while for the red ball, it will be,

[tex]P=\frac{2}{8} =0.25[/tex]

Answer:

y₂ = -3

x₁ = 2

x₂ = 2

Slope = ( 1 + 3) / 0 = undefined

y₁ = 1

y₂ = 4

x₁ = 2

x₂ = 5

Slope = ( 1-4) / (2-5) = 1

y₁ = 4

y₂ = 1

x₁ = 5

x₂ = 7

Slope = (4-1) / ( 5-7 ) = -1.5

y₁ = -3

y₂ = 1

x₁ = 2

x₂ = 7

slope = (-3-1) / ( 2-7) = 4/5

Answer:

[tex]6 {x}^{2} - 5x - 4[/tex]

Step-by-step explanation:

[tex](2 {x}^{2} - 3x + 1) + (4 {x}^{2} - 2x - 5) = \\ 2 {x}^{2} + 4 {x}^{2} - 3x - 2x + 1 - 5 = \\ 6 {x}^{2} - 5x - 4 [/tex]

Answer:

B

Step-by-step explanation:

topic: polynomials

Just add like terms

Answer:

$0.51 per golf ball.

Step-by-step explanation:

9.26 divided by 18 is 0.51.

Answer:

$1.94 dollars

Step-by-step explanation:

hehe

Answer:

[tex]8w+\frac{12}{4}[/tex] = 8w+3

[tex]\frac{8w+12}{4}[/tex] = 2w+3

Step-by-step explanation:

For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.

For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.

The correct value of this simplified expression is 8w + 3

- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.

- Simplification of a number is just the division of the same divisor by the numerator and denominator.

Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:

8w + 12 / 4

8w + 12 ÷ 2 / 4 ÷ 2

8w + 6 /2

It is still possible to simplify this expression - dividing the numerator by the denominator, so:

8w + 6 /2

8w + 6 ÷ 2

8w + 3

Therefore, the correct answer of this expression will be 8w + 3

Answer:

c. 90 cm³

Step-by-step explanation:

Formula applied :

Volume (triangular prism) = Base × Height

Solving :

⇒ Volume = 9 cm² x 10 cm

⇒ Volume = 90 cm³

The answer option is c

Answer:

c.  90 cm³

Step-by-step explanation:

Formula

Volume of a right prism = area of base × height

Given:

Substitute the given values into the formula:

⇒ Volume = 9 cm² × 10 cm

                  = 90 cm³

Answer:

20/39.

Step-by-step explanation:

There are a total of 13 students.

Prob(Boy is selected) = 8/13

Prob(Girl is then selected) = 5/12

So probability ( Boy selected then a girl)  = 8/13 * 5/12 = 10/39

- and the probability of Girl then a boy selected is also  10/39

So the required probability = 2 * 10/39

= 20/39.

Answer:

2(x-3)² - 11 where a = 2, b = -3, c = -11

Step-by-step explanation:

Taking the first 2 terms,

2x² - 12x ==> 2(x² -6x)   [1]

x² -6x can be rewritten as (x -3)² - 9 [2]

since (x-3)² = x² -6x + 9  

Substituting for x² -6x in [1] we get

2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18

Therefore substituting for 2x² - 12x in the original equation we get

2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11

this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11

Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7

Answer:

Mean = 92

Median = 95.5

There is no mode.

What is mean, median, and mode?

Mean, median, and mode are terms in math when it comes to looking at charts and sets/groups of numbers.

1. The mean is the average of a data set.

2. The median is the middle of a data set.

3. The mode is the most common number in a data set.

Mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Before we start, let's put the set of numbers in order from least to greatest,

95, 97, 100, 86, 78, 96

78, 86, 95, 96, 97, 100

Now that we have done that let's find the mean,

78 + 86 + 95 + 96 + 97 + 100 = 552

There are 6 numbers in this set so we need to divide 552 by 6,

552 ÷ 6 = 92

92 is the mean/average of this data set,

Now let's find the median,

If we take a look at the data set we can see that there are two numbers in the middle because there are 6 in total,

78, 86, 95, 96, 97, 100

Because there are two values that are in the middle we need to add them up and divide the sum of them by 2,

95 + 96 = 191

191 ÷ 2 = 95.5

95.5 is the median of this data set,

Now let's find the mode,

If we take a look at the date set we can see that none of the numbers are repeated,

So this means there is no mode to this data set,

Therefore the mean is 92, the median is 95.5, and there is no mode.

Answer:

a. is not proportional and b. is proportional

Step-by-step explanation:

a. constant is 1 and b. constant is -2