Find the equation for the trend line through the points (0, 11) and (100, 33). Then use it to predict the number of baskets Romy would make after practicing for 80 minutes.

Answers

Answer 1

Answer:

28 baskets

Step-by-step explanation:

The equation for a linear trend line is given by:

y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x is zero).

The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

y represent the number of baskets made and x represents the time take. Given that the line passes through the points  (0, 11) and (100, 33), hence:

[tex]y-11=\frac{33-11}{100-0}(x-0)\\\\y-11=\frac{11}{50}x\\\\y= \frac{11}{50}x+11[/tex]

The number of baskets Romy would make after practicing for 80 minutes (x = 80) is:

[tex]y=\frac{11}{50}x+11\\\\y=\frac{11}{50}(80)+11 \\\\y=17.6+11\\\\y=28.6\\\\Therefore\ y\ =\ 28\ baskets[/tex]


Related Questions

Solve the following for the variable x.
3x - 16 = 38

Answers

Answer: x= 18

Step-by-step explanation:

3x - 16 = 38

38 + 16 = 54

3x/3 = 54/3

X= 18

Step-by-step explanation:

[tex] \tt{3x - 16 = 38}[/tex]

We want to remove the 16 first. So , Since the original equation is - 16 , we are going to use the oppsite operation and add 16 to both sides.

⟶ [tex] \tt{3x - 16 + 16 = 38 + 16}[/tex]

Simplify ! - 16 + 16 = 0 on the left. 38 + 16 = 54 on the right.

⟶ [tex] \tt{3x = 54}[/tex]

Now , we need to think how to remove the coefficient 3. Since the opposite of multiplication is division , we are going to divide both sides by 3.

⟶ [tex] \tt{ \frac{3x}{3} = \frac{54}{3}} [/tex]

Simplify ! 3 / 3 = 1 on the left and 54/3 = 18 on the right . So, our answer is 18.

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = 18}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Helppppp pleaseeeeee

Answers

Answer:

6 ft

Step-by-step explanation:

6^3 = 216

Angle ABC is right-angled at C. If AC = 5cm and BC = 12cm find the length of AB​

Answers

BC= 12cm

AC = 5cm

According to Pythagoras theorem ,

12^2 + 5^2 = AB^2

144+25 =169 ..

so AB^2 = 169

AB=√169 ..

Therefore, AB= 13cm ..

Hope it helps you ..

please mark me as brainliest

thank you

POINTS GIVEN HELP ME PLS POINTS WILL BE GUVEN

Answers

last one is the correct answer

Se ha decidido repoblar con 150 000 árboles una zona asolada por un incencio. Se quieren plantar los árboles formando un cuadrado con el mismo número de árboles y la misma separación entre ellos. ¿Cuántos árboles se podrán plantar para formar el cuadrado más grande posible?

Answers

Responder :

Se plantarán 149769 árboles

Explicación paso a paso:

Dado que:

Número de árboles a plantar = 150.000

Los árboles deben disponerse para formar un cuadrado;

La cantidad de árboles que se pueden plantar para hacer el cuadrado más grande posible:

Área de un cuadrado = s²

Dónde; s = Longitud de cualquier lado; ya que todos los lados son iguales.

El mayor número de árboles que se pueden plantar es el cuadrado perfecto más alto hasta 150.000.

Esto se puede obtener tomando la raíz cuadrada de 150000

Cuadrado (150.000)

= 387,29833

El cuadrado del número entero da el valor cuadrado perfecto más alto antes de 150 000

Por lo tanto,

s = 387 =; 387

Cantidad total de árboles; s² = 387² = 149769

please help this is urgent

If the input is x = -3, find the output of this function.
f(x) = -2x + 5

Answers

Answer:

11

Step-by-step explanation:

-2(-3)+5

6+5 = 11

Kiki divides 14 yard of tape into 4 equal pieces.

What is the length of each piece of tape?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

the length of each piece that i got was 3.5 or 3 1/2

Step-by-step explanation:

If a circle has a radius of 9 feet, what is the diameter ? *

4.5 inches
4.5 feet
18 inches
18 feet

Answers

Answer:

18 feet

Step-by-step explanation:

diameter=2(radius)

2cos^2A-cos2A-1=0
Help

Answers

Answer:

steps below

Step-by-step explanation:

Are you going to solve the value of A or just a proof the equation

cos 2A = cos² A - sin² A

2cos²A-cos2A-1 = 2cos²A - (cos² A - sin² A) - 1 = cos² A + sin² A - 1

2cos²A-cos2A-1 = 1 - 1 = 0

A: 90° or 270° or 450° .....

The area of a square garden is 84 square feet. Which of the following
values is the BEST estimate of the side length of the garden?
A. 9 feet
O B. 11 feet
OC. 21 feet
O D. 7 feet

Answers

a is the awnser because the value is 9 feet

) Which ratios have a unit rate greater than 1? Choose ALL that apply. 9 5 miles : 6 hour 3 (7) 7 miles : hour 4 1 2 miles: 3 hours 8 2 NI 9 1 3) 4 miles : 3- hours 3 1 3 mile : 2- hours 3 8 } mile : 2 miles : 3 hours 5​

Answers

I got this right, look....

Evidence:

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The ratios that have a unit rate greater than 1 are:

9/8 miles : 5/6 hours

4 miles : 3(1/3) hours

7 miles : 3/4 hours

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

9/8 miles : 5/6 hours

4 miles : 3(1/3) hours

7 miles : 3/4 hours

The unit rate of each given ratio.

9/8 miles = 5/6 hours

Multiply 6/5 on both sides.

6/5 x 9/8 miles = 1 hour

54/40 miles = 1 hour

27/20 miles = 1 hour

1.35 miles = 1 hour

4 miles = 3(1/3) hours

4 miles = 10/3 hours

Multiply 3/10 on both sides.

3/10 x 4 miles = 1 hour

6/5 miles = 1 hour

1.2 miles - 1 hour

7 miles = 3/4 hours

Multiply 4/3 on both sides.

4/3 x 7 miles = 1 hour

28/3 miles = 1 hour

9.33 miles = 1 hour

We see that,

All of them have unit rates greater than 1.

Thus,

The ratios that have a unit rate greater than 1 are:

9/8 miles : 5/6 hours

4 miles : 3(1/3) hours

7 miles : 3/4 hours

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ5

The complete question is:

Which ratios have a unit rate greater than 1?

Choose all that apply.

9/8 miles : 5/6 hours

4 miles : 3(1/3) hours

7 miles : 3/4 hours

sin 60° x tan 45° what is that is for a homework

Answers

Answer:

75 degrees

Step-by-step explanation:

60 = 45= 75 = 180

Because every triangle has 180 degrees in it

Round 5.479 to the nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

...The answer is 5.5!

a point that is on both graphs will be a
______________

A. Solution for both equations
B. Solution for one equation
C. Solution for neither equation​

Answers

Answer:

A i think

Step-by-step explanation:

hope this helps!!

There are 26 boys and 28 girls from Stella’s class riding on the bus. Some students from a different class join them, so 2 additional boys and 2 additional girls board the bus.

Does the ratio of boys to girls remain the same? Explain your answer. As part of your explanation, give both the old and the new ratios, in lowest terms, of boys to girls on the bus.

Answers

Answer:

Yes

Step-by-step explanation:

The ratio of adults to kids in a school is 3 : 7. If there is a total of 200 people, how many of them are students? *

Answers

Answer:

60 students 140 adults

Step-by-step explanation:

so 200 into 3 : 7

first we just do this: 200 ÷ (3+7) = 200 ÷ 10 = 20

so a 1 in the ratio is 20 people

and theres 3 : 7

so 3 * 20 = 60

7 * 20 = 140

60 kids to 140 adults

Answer:

140 are students

Step-by-step explanation:

let k = number of kids

set up proportion based on 7 out of 10 are kids

7/10 = k/200

cross-multiply: 10K = 1400

Do you average weight of an orange is 4.9 ounces we bought five oranges and found that the average weight was 5.7 ounces what can you tell about our sample?

Answers

Then 4.9 is not the average weight of an orange.

A farmer wants to make a fenced square pen. He has a total of 100 meters of fencing. He wants to determine the possibilities for the area of the pen. Let A represent the area of the pen, in square meters.

Answers

Answer:

I put B and A= 25

I got it on another website but I'm not entirely sure.

The square is asymmetrical quadrilateral, which implies it has 4 equal sides and angles. This can also be described as a rectangle having two neighboring sides that are both the same length.

It ensures that the elements are perpendicular, either at right angles to one another.

The length of the square pen is [tex]\sqrt{A}[/tex], and the perimeter should be no more than 100  then the perimeter of a square is 4a the over is [tex]a^2[/tex]  So, the equation :

[tex]\to 4\sqrt{A}=100\\\\ \to \sqrt{A}=\frac{100}{4}\\\\\to \sqrt{A}=25[/tex]

Therefore, the final answer is "25".

Learn more:

brainly.com/question/21148176

9. The Brightline train travels 204 miles in 3 hours, moving at a constant
speed. How long will it take the Brightline train to travel 544 miles at this
speed?
A. 68 hours
B. 5.5 hours
C. 6.5 hours
D. 8 hours
pls answer

Answers

The answer is D
3/204= 0.01470588
I know that is how much of an hour it will take to travel an hour so multiply that by the miles
544* 0.01470588= 8
8 Hours

Latoya borrowed $8000 at a rate of 9%, compounded quarterly. Assuming she makes no payments, how much will she owe after 5 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
sll
5
?

Answers

Answer:

wq

Step-by-step explanation:

Uhhh 5 I think hope it helps?

i need this fast guys. and please show step by step process

Answers

Answer:

x°=48°

Step-by-step explanation:

angle Y=x°

angle Z= angle y, because equal side of the angles are equal.

so, angle X +angleY+ angle Z=180° ( angle sum property of triangles)

therefore 84°+x°+x°=180°

2x°=180° -84°

2x°=96°

x°=48°

The exam will have true/false and short answer questions.
points each, and the true/false questions are worth two points each. There will be 50 questions we
total of 150 points. How many of each type of question are on the exam?

Answers

Answer:

there could be multiple of either

Step-by-step explanation:

i'm stuck on this one :(

Answers

Answer:

they are both correct, all sides are equal to eachother yknow?

Step-by-step explanation:

Both are correct:) any side are equal to each other

A sector of a circle has an area of 16.75 square inches. The central angle is 120 degrees. Calculate the length of the radius.
please help :)

Answers

Answer:

17.14

Step-by-step explanation:

Area of sector= 120/360(πr^2)

16.75^2          = 120π/360 (r^2)

(π/3)16.75^2 =  π/3  r^2(π/3)

293.8 = r^2

r= √293.8

r= 17.14

I just did it like that. Just want to help u.

Pls help asap! Will give brainliest!

Answers

Answer:

the answer to this is B D.

Step-by-step explanation:

Which statement is true when comparing how a student would complete the solution for the linear equation -2x + 3 = 6 to how the student would complete the solution for the linear inequality -2x + 3 < 6?




Completing the solution for the equation is the same as completing the solution for the inequality. The student would divide both sides by -2 in either case.
Completing the solution for the equation is the same as completing the solution for the inequality. The student would divide both sides by -2 in either case.

Completing the solution for the equation is the same as completing the solution for the inequality. The student would multiply both sides by -2 in either case.
Completing the solution for the equation is the same as completing the solution for the inequality. The student would multiply both sides by -2 in either case.

Completing the solution for the equation is not the same as completing the solution for the inequality. The student would divide by -2 to complete the solution for the equation and would divide by -2 and change the less than sign for the inequality to greater than.
Completing the solution for the equation is not the same as completing the solution for the inequality. The student would divide by -2 to complete the solution for the equation and would divide by -2 and change the less than sign for the inequality to greater than.

Completing the solution for the equation is not the same as completing the solution for the inequality. The student would multiply by -2 to complete the solution for the equation and would multiply by -2 and change the less than sign for the inequality to greater than.

Answers

Answer:

i just know

Step-by-step explanation:

-2x+3=6:

x= -3/2

-2x + 3 < 6:

x  > −3/2

A line passes through the origin and has a slope of 2/3​

Answers

Answer:

y=2/3x

Step-by-step explanation:

the origin is the point (0,0) and the given slope is 2/3

the equation for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept

the slope is given, meanwhile, the y intercept is the point where the line passes through the y axis, and the x value is 0.

In this question, we actually have the y intercept given, which is (0,0)

we can put it all together then:

y=2/3x+0

or

y=2/3x

Hope this helps :)

What is the slope of the line that passes through the points (-2,-3), and (5, 4)?
0-1
03
01
-3

NOT MULTIPLE CHOICE

Answers

Answer:

1

Step-by-step explanation:

if we say (-2,-3) is point 1 and (5,4) is point 2,

then the equation y2-y1/x2-x1 becomes 4-(-3)/5-(-2)

which is 7/7 or 1

In how many months should Jake plan on having his
new site set up? Do not round. Input your answer.

Answers

Answer:

4.8 months

Step-by-step explanation:

Jerry started doing sit-ups every day. The first day he did 16 sit-ups. Every day after that he did 4 more sit- ups than he had done the previous day. Today Jerry did 36 sit-ups. Enter an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day.


help me out there are three blanks ​

Answers

Answer:

4d + 16 = 36

or 16 + 4n = 36

it depends on what type of question you have. the second one is best to use, but you can pick.

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