HELP ME PLEASE I NEED IT 40 PTS

Answer: 3 ft

Step-by-step explanation: It is a ratio, the shadows are half the length of the original object .

Final answer:

The rate 6 + 4 2/3 in lowest terms is 32/3 or, as a mixed number, it is 10 2/3.

Explanation:

The student asked to express the rate 6 + 4 2/3 in lowest terms. To do this, we will first convert the mixed number 4 2/3 into an improper fraction. The mixed number 4 2/3 can be converted by multiplying the whole number 4 by the denominator 3 and then adding the numerator 2, which gives us 14/3. So now we have the expression 6 + 14/3.

To add the whole number and the fraction, we can convert the whole number 6 into a fraction with the same denominator as 14/3. This means converting 6 to 18/3 (since 6 times 3 equals 18). Now we can add the fractions directly: 18/3 + 14/3 equals 32/3. Therefore, the rate 6 + 4 2/3 expressed in lowest terms is 32/3 or 10 2/3 when represented as a mixed number.

Answer:

18 inches.

Step-by-step explanation:

Hope this helps! Would you like an explanation?

Answer: 36 in²

Step-by-step explanation:

A=length times width

4.5 times 8 = 36

Answer:

[tex] 36.0 \: {inches}^{2} [/tex]

Step-by-step explanation:

[tex]area = l \times w = 8 \times 4.5 \\\hspace {65 pt} = 36.0 \: {inches}^{2} \\ [/tex]

Answer:

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

Step-by-step explanation:

The given expresion is

[tex] - {x}^{2} + 8x - 16[/tex]

Factor -1;

[tex] - ( {x}^{2} - 8x + 16)[/tex]

Split the middle term with -4x-4x

[tex] - ( {x}^{2} - 4x - 4x + 16)[/tex]

Factor by grouping within the parenthesis:

[tex] - ( x({x} - 4)- 4(x - 4) )[/tex]

Factor further:

[tex] - (x - 4)(x -4 )[/tex]

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

This the opposite of the square of (x-4)

Answer:

e

Step-by-step explanation:

you do math

Answer:

1,350 mg.

Step-by-step explanation:

Multiply the amount of mg per kg by the number of kg to get the total amount of mg needed by the patient.

1350 milligrams pharmacist needs to fill the order for that patient.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given that,

The patient needs the drug according to his weight by multiplying of 15

Since the weight of the patient is 90 kg

So,

Amount of drug needed = 15 × 90 = 1350 miligram.

Hence "1350 milligrams pharmacist needs to fill the order for that patient".

For more information about multiplication,

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Answer:

12x/(4+x)

Step-by-step explanation:

The algebraic expression for 'the product of 12 and x divided by the sum of 4 and x' is written as (12  imes x) / (4 + x). This expression follows the order of operations and uses parentheses to ensure clarity.

The algebraic expression for 'the product of 12 and x divided by the sum of 4 and x' can be written as:
(12 x x) / (4 + x).

To write this expression, first, recognize the terms that signify mathematical operations. 'Product' signifies multiplication and a 'sum' signifies addition. The given statement involves both these operations, with 12 being multiplied by the variable x and then divided by the sum of 4 and x.

Using parentheses clarifies that the division applies to the entire sum of 4 and x, rather than just 4 or x. Without parentheses, it may lead to confusion about the order of operations. To represent division, we use the '/' symbol.

The correct algebraic expression (12  imes x) / (4 + x) follows the order of operations and ensures accurate representation of the mathematical relationship described in the problem.

Slope formula: y2-y1/x2-x1

Question 1:

= 14-(-15)/1-(-11)

= 29/12

= 2 5/12

Therefore, the slope is 2 5/12 or 29/12.

Question 2:

= 12-(-19)/-9-16

= 31/-25

= -31/25

= 1 6/25

Therefore, the slope is 1 6/25 or -31/25.

Question 3:

= -3-(-3)/8-(-18)

= 0/26

Therefore, the slope is 0.

Best of Luck!

Answer:

B. He added 5 to each side of the equation.

Step-by-step explanation:

B. He added 5 to each side of the equation.

Answer:

(26,65)

Step-by-step explanation:

We know that each package has 5 sheets of paper and 2 staples. So, to know how many sheets of paper and staples that will be used in 13 packages, we just need to multiply each quantity of material used by 13.

So, we have that:

Total sheets of paper = 13 * 5 = 65

Total staples = 13 * 2 = 26

So the ordered pair (x,y), where x is staples and y is sheets of paper is:

(26,65)

Answer:

The ordered pair is (26, 65).

Step-by-step explanation:

From the given information, a package has 5 sheets of paper and is held together with 2 staples.

13 packets contains 13 packages, so that:

Number of sheet of paper required = 13 × 5

                                                           = 65

Number of staples required = 13 × 2

                                              = 26

Therefore, the ordered pair is; staples (26) and sheets of paper (65) i.e (26, 65).

Answer:

y = -5/4x+4

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b

where m is the slope and b is the y intercept

y = -5/4x +b

Substitute the point into the equation

-1 = -5/4(4) +b

-1 =-5+b

Add 5 to each side

-1+5 = -5+5+b

4 = b

y = -5/4x+4

Answer:

the answer is D

Step-by-step explanation:

3 + 1.75m

This represents 1.75 per mile plus a one time 3 charge.

Another way this can be written is

(1.75m + 6) - 3

This is a less efficient way, but represents the same. It is 1.75 per mile, this is plus 6, therefore we add the -3 outside the parenthesis so it evens out to +3 as the base charge.

Example: Lets say its 3 miles.

3 + 1.75 (3) = 8.25

(1.75 (3) + 6) - 3 = 8.25

Answer:

When m= 0,25

(8m-m ) + 3

3+ 8m-1/4m

With the first one you can add any number of miles infront of the brackets; ie) 4 miles

4(8m-m) +3 = 0.25t

32m-4m /28 (+3) = 0.25t x 28

28m +3 = 0.25t x 28

28m + 3 = 7t + 3t

31m = 10t

Step-by-step explanation:

Answer:

$7,650.00

Step-by-step explanation:

5.5 x 5 = 27.5

turn 27.5 into a percent

6000 x 0.275 = $7,650.00

Given that the crazy coaster has 3 trains each holding 27 people and runs 9 times in 1 hour, and also operates for 13 hours a day, it can carry a total of 9,477 people in a day.

To figure out how many people can ride the crazy coaster each day, we need to multiply all the related factors together. First, we consider the passengers each train can carry. Each of the 3 trains can hold 27 people which makes 81 people (3 trains multiplied by 27 people each). Then, each of these trains runs 9 times in 1 hour, so that's 81 people multiplied by 9 runs, which makes 729 people per hour. Since the crazy coaster operates for 13 hours a day, that's 729 people multiplied by 13 hours, which equals 9,477 people. Therefore, a total of 9,477 people can ride the crazy coaster each day, assuming every train is full on every run.

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Answer:

y = 3x-6

Step-by-step explanation:

First we need to find the slope of the line

2y-6x=4

Solve for y

Add 6x to each side

2y-6x+6x=4+6x

2y = 6x+4

Divide each side by 2

2y/2 =6x/2 +4/2

y = 3x +2

The slope is 3

We want a line parallel, so it will have the same slope

We have a slope and a point

y = 3m+b

Substitute in the point

6 = 3(4)+b

6 =12+b

Subtract 12 from each side

6-12 = 12-12+b

-6 =b

y = 3x-6

Answer:

y = 3x - 6

Step-by-step explanation:

2y = 6x + 4

y = 3x + 2

Slope = 3

y = 3x + c

6 = 3(4) + c

c = 6 - 12

c = -6

y = 3x - 6

Answer:

Step-by-step explanation:

*It's an isosceles triangle so 2 of the angles are going to be the same degrees

*Every triangle is 180 degrees

(48)+(48)=96 then 180-96=84

Answer:

B) 24

Step-by-step explanation:

3 x 8 = 24

4 x 6 = 24

Answer:

24

Step-by-step explanation:

Answer:

30. [tex]x=5\\y=5\sqrt{3}[/tex]

31.  [tex]x=4\\y=4\sqrt{3}[/tex]

32. [tex]x=6\\y=6\sqrt{3}[/tex]

33. [tex]x=4.5\\y=\frac{9\sqrt{3} }{2}[/tex]

34. [tex]x=40\\y=40\sqrt{3}[/tex]

35. [tex]x=7.5\\y=\frac{15\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Use SOHCAHTOA to find one of the missing sides, then use the pythagorean theorem ([tex]x^{2}+ y^{2} =z^{2}[/tex]) to find the other one

[tex]sin=\frac{opposite}{hypotenuse}[/tex]

[tex]cos=\frac{adjacent}{hypotenuse}[/tex]

[tex]tan=\frac{opposite}{adjacent}[/tex]

30.

First find [tex]x[/tex] using Sin

[tex]sin(30)=\frac{x}{10}[/tex]

[tex]10*sin(30)=x[/tex]

[tex]x=5[/tex]

Then use the pythagorean theorem to find [tex]y[/tex]

[tex]5^{2}+ y^{2} =10^{2}[/tex]

[tex]25+y^{2} =100[/tex]

[tex]y^{2} =75[/tex]

[tex]\sqrt{y^{2}} =\sqrt{75}[/tex]

[tex]y=5\sqrt{3}[/tex]

32.

First use Sin to find [tex]x[/tex]

[tex]sin(30)=\frac{x}{8}[/tex]

[tex]8*sin(30)=x[/tex]

[tex]x=4[/tex]

Then use the pythagorean theorem to find [tex]y[/tex]

[tex]4^{2}+ y^{2} =8^{2}[/tex]

[tex]16+y^{2} =64[/tex]

[tex]y^{2} =48[/tex]

[tex]\sqrt{y^{2} } =\sqrt{48}[/tex]

[tex]y=4\sqrt{3}[/tex]

32.

First use Sin to find [tex]x[/tex]

[tex]sin(30)=\frac{x}{12}[/tex]

[tex]12*sin(30)=x[/tex]

[tex]x=6[/tex]

Then use the pythagorean theorem to find [tex]y[/tex]

[tex]6^{2}+ y^{2} =12^{2}[/tex]

[tex]36+y^{2} =144[/tex]

[tex]y^{2} =108[/tex]

[tex]\sqrt{y^{2} } =\sqrt{108}[/tex]

[tex]y=6\sqrt{3}[/tex]

33.

First use Sin to find [tex]x[/tex]

[tex]sin(30)=\frac{x}{9}[/tex]

[tex]9*sin(30)=x[/tex]

[tex]x=4.5[/tex]

Then use the pythagorean theorem to find [tex]y[/tex]

[tex]4.5^{2}+ y^{2} =9^{2}[/tex]

[tex]20.25+y^{2} =81[/tex]

[tex]y^{2} =60.75[/tex]

[tex]\sqrt{y^{2} } =\sqrt{60.75}[/tex]

[tex]y=\frac{9\sqrt{3} }{2}[/tex]

34.

First use Sin to find [tex]x[/tex]

[tex]sin(30)=\frac{x}{80}[/tex]

[tex]80*sin(30)=x[/tex]

[tex]x=40[/tex]

Then use the pythagorean theorem to find [tex]y[/tex]

[tex]40^{2}+ y^{2} =80^{2}[/tex]

[tex]1600+y^{2} =6400[/tex]

[tex]y^{2} =4800[/tex]

[tex]\sqrt{y^{2} } =\sqrt{4800}[/tex]

[tex]y=40\sqrt{3}[/tex]

35.

First use Sin to find [tex]x[/tex]

[tex]sin(30)=\frac{x}{15}[/tex]

[tex]15*sin(30)=x[/tex]

[tex]x=7.5[/tex]

Then use the pythagorean theorem to find [tex]y[/tex]

[tex]7.5^{2}+ y^{2} =15^{2}[/tex]

[tex]56.25+y^{2} =225[/tex]

[tex]y^{2} =168.75[/tex]

[tex]\sqrt{y^{2} }=\sqrt{168.75}[/tex]

[tex]y=\frac{15\sqrt{3} }{2}[/tex]

Answer:

The legs are 12 cm each, so the hypotenuse is

√(144+144)=12√2

So it would be the last one

Answer:

12√2

Step-by-step explanation:

Final answer:

There are two portions of two-fifths in four-fifths; this is determined by dividing four-fifths by two-fifths, which simplifies to 2.

Explanation:

The student is asking how many portions of two-fifths fit into four-fifths. This is a basic division problem, which we can solve by dividing four-fifths [tex](\frac{4}{5})[/tex] by two-fifths ([tex]\frac{2}{5}[/tex]). The division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.

To find the reciprocal of two-fifths ([tex]\frac{2}{5}[/tex]), we flip the numerator and denominator, resulting in five-halves ([tex]\frac{5}{2}[/tex]). Next, we multiply four-fifths ([tex](\frac{4}{5})[/tex]) by five-halves ([tex]\frac{5}{2}[/tex]).

 [tex]\frac{4}{5} \times \frac{5}{2}[/tex] =  [tex]\frac{4 \times 5}{5 \times 2}[/tex] = [tex]\frac{20}{10}[/tex] = 2

Therefore, there are two two-fifths in four-fifths.

Answer:

60.4

Step-by-step explanation:

75.5-15.1=60.4

Answer:

60.4*F.

Step-by-step explanation:

75.5-15.1=60.4

Answer:

2 out of 20 chance you will roll a 1 or a 2.

Answer:

As the number of hours spent on homework increases, the tests scores increase.

Step-by-step explanation:

because the independent variable and dependent variable are both increasing.

Final answer:

The statement "As the number of hours spent on homework increases, the test scores increase" best describes a positive correlation, where two variables increase together.

Explanation:

A positive correlation is described as a relationship in which the increase in one variable leads to the increase in another variable. Looking at the situations you provided, the scenario, "As the number of hours spent on homework increases, the test scores increase," clearly illustrates a positive correlation. More hours of homework tend to result in higher test scores, suggesting that the two variables change in the same direction.

A negative correlation involves an inverse relationship where an increase in one variable leads to a decrease in the other. For example, "As the number of times going to bed early increases, the number of times waking up late decreases," is a negative correlation because the variables move in opposite directions.

No correlation occurs when the changes in one variable do not relate to changes in another variable, such as "As the number of apples eaten per year increases, the number of times visiting the doctor every year remains the same." Here, there is no consistent pattern of increase or decrease between apple consumption and doctor visits.

Answer:

11.5

Step-by-step explanation:

3 x  3 5/6

3 x 23/6

=69/6

=11.5

To find out how many pepperoni pizzas Patsy's Pizzeria sold, we need to multiply the number of vegetable pizzas by 3. They sold 11 1/2 pepperoni pizzas.

To find out how many pepperoni pizzas Patsy's Pizzeria sold, we need to multiply the number of vegetable pizzas by 3. If they sold 3 5/6 vegetable pizzas, we can represent this as a mixed number of 3 + 5/6. To multiply this by 3, we first convert the mixed number to an improper fraction: 3 + 5/6 = (3 * 6 + 5) / 6 = 23/6. Next, multiply the improper fraction by 3 to get: (23/6) * 3 = 69/6 = 11 1/2. Therefore, Patsy's Pizzeria sold 11 1/2 pepperoni pizzas.

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To calculate the probability of a spinner landing on a yellow section, specific information about the spinner is required. For instance, with 5 sections where 1 is yellow, the probability would be 20%. Without such information, however, the correct percentage cannot be determined from the choices provided.

To determine the probability of the spinner stopping on a yellow section, we need specific information about the spinner such as the number of sections and the number of yellow sections. Without this information, we are unable to calculate the exact percentage. Assuming a student is given this type of probability question, they would typically be provided with a diagram or description of the spinner. For example, if there are 5 equal sections and 1 of those is yellow, then the probability (in percentage) would be 20%, calculated as (1 yellow section / 5 total sections) × 100%. However, since we do not have this information here, the correct option cannot be determined from the choices provided (A. 20%, B. 30%, C. 40%, D. 80%).

As for the probability of a randomly chosen student not living within five miles of the campus, this would typically be based on specific data provided in the context of the problem. Without the data, we cannot determine the correct percentage for this scenario as well, thus the correct answer is "Cannot be determined."

Answer:

B

Step-by-step explanation:

Answer:

Y = 10/5x

10 divided by 5 = 2

Step-by-step explanation:

Answer:

1) biased sample

2) random sampling

Step-by-step explanation:

Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.

Also, since it's a math class there will be a bias.

Better method would be randomly selecting students from the entire school students list and take their feedback