help please 38 points

Answer:

Y=-1/5x + 1

Step-by-step explanation:

There were 16 penguins on the ice at the start.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of penguins at start, hence:

x - 10 + 6 = 12

x - 4 = 12

Add 4 to both sides of the equation:

x - 4 + 4 = 12 + 4

x = 16

There were 16 penguins on the ice at the start.

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The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, 6) and (8, 4). Substitute:

[tex]m=\dfrac{4-6}{8-(-4)}=\dfrac{-2}{12}=\boxed{-\dfrac{1}{6}}\to\boxed{B.)}[/tex]

Answer:

B) -1/6

Step-by-step explanation:

y₂ - y₁ / x₂ - x₁

4-6 /8-(-4) = -2/12 = -1/6

The correct type of research design did Mrs. Graham use is,

⇒ observational study

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Graham conducted a study to determine how students use their time during study hall classes.

And, She recorded what each student did during study hall for one month.

Since, In an observational study, the researcher observes and records data without manipulating any variables.

Hence, The correct type of research design did Mrs. Graham use is,

⇒ observational study

Thus, Option D is true.

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Final answer:

Mrs. Graham used an observational study design to record students' activities during study halls, observing without intervening or manipulating the environment.

Explanation:

The research design that Mrs. Graham used by recording what each student did during study hall for one month is best described as an observational study. In this type of research, the observer does not intervene or manipulate the environment or subjects but simply records observations of what is occurring naturally. Consequently, Mrs. Graham's study aimed to systematically identify and examine how students use their time without altering their behavior intentionally, which is different from an experimental study where the investigator would manipulate a variable to see its effect.

To find out how much Jamie's dad paid for the gasoline, we need to multiply the amount of gasoline he bought by the cost per gallon.

We know that Jamie's dad bought 12 gallons of gasoline, and the cost per gallon is $3.25.

So, let's multiply these two numbers together.

First, take the 12 gallons of gasoline.
Then, multiply that number by the cost per gallon, which is $3.25.
So, 12 × $3.25 equals $39.00.

Therefore, Jamie's dad paid for the gasoline.

answer: $39.00

Answer:

The cross section is a Rectangle with an area of [tex]48cm^{2}[/tex]

Step-by-step explanation:

The cross section is a rectangle because it is a quadrilateral with four right angles (90° angles).

The area of a rectangle is the product of the length and width. In this case is [tex]8cm[/tex] and [tex]6cm[/tex] because the cross section is perpendicular to to is base therefore parallel to the side with this measures. We calculate it:

[tex]Area_{Rectangle}=length*width=8cm*6cm\\Area_{Rectangle}=48cm^{2}[/tex]

[tex] |\Omega|=37\\
|A|=15\\\\
P(A)=\dfrac{15}{37}\approx41\% [/tex]

The cable is cut into 28 pieces.

To find how many pieces the cable is cut into, we can divide the total length of the cable by the length of each piece. In this case, the total length of the cable is 35 meters and the length of each piece is 1.25 meters.

Dividing 35 meters by 1.25 meters gives us:

35 m ÷ 1.25 m = 28 pieces

Therefore, the cable is cut into 28 pieces.

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Given sin (13y-5) = cos (2y+5)

We have a formula regarding complementary angles that is given as follows :-

If sin(A) = cos(B), then A + B = 90 degrees.

where A and B are complementary angles.

Comparing it with given information, we get A = (13y-5) and B = (2y+5).

So the sum of two angles A = (13y-5) and B = (2y+5) would be 90 degrees.

(13y-5)° + (2y+5)° = 90°

13y + 2y - 5 + 5 = 90°

15y = 90°

y = 6°

Hence, final answer is y = 6 degrees.

Answer:

It's 5.3 yd, hope this helps

Step-by-step explanation:

Final answer:

To find the total number of T-shirts and shorts sold, set up equations using the given information. Solve the equations to find the values of the variables. Therefore, the total number of T-shirts and shorts sold is 200.

Explanation:

To find the total number of T-shirts and shorts sold, let's assign variables to the unknown quantities. Let T represent the number of T-shirts sold and S represent the number of shorts sold.

Given that people bought 4 times as many T-shirts as shorts, we have the equation T = 4S.

Since the total sales were $1,040, we can write another equation: 5T + 6S = 1040.

We can substitute the value of T from the first equation into the second equation to solve for S. Substituting 4S for T, we get 5(4S) + 6S = 1040. Simplifying this equation gives us 20S + 6S = 1040. Combining like terms, we have 26S = 1040. Solving for S, we find that S = 40.

Substituting this value back into the first equation, we can find T: T = 4(40) = 160.

Therefore, the total number of T-shirts and shorts sold is 160 + 40 = 200.

To simplify the expression 6 - 10/6 - 4, divide 10 by 6 and subtract the result from 6, then subtract 4 from the previous result. The simplified expression is 0.33.

To simplify the expression 6 - 10/6 - 4, you need to follow the order of operations which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

To simplify the expression, we can perform the division first: 10/6 = 1.67.

Substituting the result back into the expression, we have: 6 - 1.67 - 4.

Next, we can perform the subtraction from left to right: 6 - 1.67 = 4.33, then 4.33 - 4 = 0.33.

Therefore, the expression 6 - 10/6 - 4 simplifies to 0.33.

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The following chart is completed below;

Henry = 126 cm

Lisa = 136.5 cm

Kate = 147 cm

Erik = 144 cm

Matt = 100 cm

Copy and complete the table?

Kid's name: Henry

Height before the summer: 120 cm

Height after the summer: 126 cm

Height after the summer = 120 + 5% of 120

= 120 + 0.05×120

= 120 + 6

= 126 cm

Kid's name: Lisa

Height before the summer: 130 cm

Height after the summer: 136.5 cm

Height after the summer = 130 + 5% of 130

= 130 + 0.05×130

= 130 + 6.5

= 136.5 cm

Kid's name: Kate

Height before the summer: 140 cm

Height after the summer: 147 cm

Height after the summer = 140 + 5% of 140

= 140 + 0.05×140

= 140 + 7

= 147 cm

Kid's name: Erik

Height before the summer: 144 cm

Height after the summer:151.2 cm

Height after the summer = x + 5% of x

151.2 = x + 0.05x

151.2 = 1.05x

x = 151.2/1.05

x = 144

Kid's name: Matt

Height before the summer: 100 cm

Height after the summer: 105 cm

Height after the summer = x + 5% of x

105 = x + 0.05x

105 = 1.05x

x = 105/1.05

x = 100