Cora watched 30 movies for a combined total of 55 hours over her last summer break. Some of the movies were 1.5 hours long, and others were 2.5 hours long.
How many of Cora's movies were 2.5 hours long?

Answers

Answer 1

The number of movies that are 2.5 hours long that Cora watched is 10 hours.

What are the linear equations that represent this question?

a + b = 30 equation 1

1.5a + 2.5b = 55 equation 2

Where:

a = movies that are 1.5 hours long

b = movies that are 2.5 hours long

How many movies are 2.5 hours long?

Multiply  equation 1 by 1.5

1.5a + 1.5b = 45  equation 3

Subtract equation 3 from 2

1b = 10 hours

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552


Related Questions

A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.

What is the initial value?

Answers

Answer: 200

Step-by-step explanation:

The initial value is 200, since this is the population before conservation efforts began.

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going
on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative
sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
O The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
O The representative sample contained an equal number of boys and girls.

Answers

The representative sample contained more girls than boys

Answer:

more girls than boys.

Step-by-step explanation:

because there is 95 girls compared to 65 boys, so whatever random numbers of both are pulled, girls will have the higher ratio.

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

( 6(x)² + 12(x) - 90 ) ft³

Explanation:

deep end water: 2(x)² + 12(x) + 10shallow end water: 4(x)² - 100

addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100

total volume of water:

2(x)² + 12(x) + 10 + 4(x)² - 1002(x)² + 4(x)² + 12(x) + 10 - 1006(x)² + 12(x) - 90

Answer:

a)  [tex]\sf total \ volume \ of \ pool= (2x^2+12x+10)+(4x^2-100) \ ft^3[/tex]

b)  [tex]\sf total \ volume \ of \ pool =(6x^2+12x-90) \ ft^3[/tex]

Step-by-step explanation:

Given:

volume of water in the deep end:  [tex]\sf (2x^2+12x+10) \ ft^3[/tex]volume of water in the shallow end:  [tex]\sf (4x^2-100) \ ft^3[/tex]

a)  Total volume of water = deep end volume + shallow end volume

[tex]\implies \sf total= (2x^2+12x+10)+(4x^2-100)[/tex]

b) Simplify:

[tex]\sf \implies 2x^2+12x+10+4x^2-100[/tex]

Collect like terms:

[tex]\sf \implies 2x^2+4x^2+12x+10-100[/tex]

Combine like terms:

[tex]\sf \implies 6x^2+12x-90[/tex]

Complete the missing steps to express in simplest radical form.

Answers

1. yu take the first expression and win over the second

10 yes ago the age of father was double than that of his daughter age. if the sum of their age is 50 yes find their present age​

Answers

Answer:

Hope the picture will help you......

Lashonda reads a book at a rate of 12 chapters per hour. How many chapters does she read in 3 hours?

Answers

Answer:

12×3=36

Step-by-step explanation:

hope ththis helped :))

36 because you have to do 12x3

1. Find the total area. Round to the nearest hundredth.

Answers

Answer:

1052.39 cm2

Step-by-step explanation:

too lazy to type all that

1) find the radius of the half circle using pythagorus. (34-16=18, √30^2-18^2 = 24 = diameter. radius = 12)

2) find the area of the cirlcle then divide by 2 youll get the area of the half circle

3) find the area of the other thing (i forgot its name) using

1/2×24×(16+34) = 600

then add them up

Write an equation of the line that passes through (0, 0) and (2, 6).

Answers

Answer:

y=3x

Step-by-step explanation:

hello :

an equation is : y=ax  (  the line that passes through (0, 0) )

and (2, 6): x= 2   y=6     qo : 6 = a ×2        a =3

an equation of the line that passes through (0, 0) and (2, 6) is : y=3x

The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

What is the equation of a line?

The equation of a line is a relation between the dependent variable y and an independent variable x, used to determine the value of y for a given x. The general form of such an equation is,

y = mx + b, where m is the slope and b the y-intercept.

What is the two-point formula?

The two-point formula is the formula used to determine the equation of a straight line when the slope m and the y-intercept b are not given, but we know two points on the line.

The formula is such: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁).

How do we solve the given question?

We have been given two points on the required line, (0, 0) and (2, 6)

We take the points as (x₁, y₁), and (x₂, y₂) respectively.

∴ x₁ = 0, x₂ = 2, y₁ = 0, y₂ = 6.

Since it's an equation of a line, we use the two-point method to determine the equation.

The two-point formula is:

y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

Substituting the values we have, we get:

y - 0 = ((6-0)/(2-0))*(x-0)

or, y = 3x.

∴ The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

Learn more about the Equation of a line at

https://brainly.com/question/986503

#SPJ2

The crime rate of a certain city is increasing by exactly 6% each year. If there were 550
crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2016.

Round to the nearest whole number.

Answers

Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 550(1 + 0.06)^t[/tex]

[tex]A(t) = 550(1.06)^t[/tex]

2016 is 26 years after 1990, hence:

[tex]A(26) = 550(1.06)^{26} \approx 2502[/tex]

The approximate number of crimes in the year of 2016 was of 2502.

More can be learned about exponential functions at https://brainly.com/question/25537936

pls help me to answer this​

Answers

Answer:

so i just went on spreadsheets and created this and screenshotted it i hope this helps

Step-by-step explanation:

alex earned $ 20.40 in three hours what is the unit rate in dollars per hour

Answers

Divide total made by total hours:


20.40 / 3 = $6.80 per hour

Answer:

See below.

Step-by-step explanation:

Divide the amount of money by the time.

20.4/3=6.8

So, alex earned $6.80 per hour.

-hope it helps

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 33 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 33 students studied each week was 17. 7 hours. The sample standard deviation of 3. 9 hours. Find the p -value. The p -value should be rounded to 4-decimal places

Answers

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

What are the hypotheses tested?

At the null hypothesis, it is tested if the students study 20 hours, that is:

[tex]H_0: \mu = 20[/tex].

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

[tex]H_1: \mu < 20[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

In this problem, the values of the parameters are given as:

[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]

[tex]t = -3.39[/tex]

What is the p-value?

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

More can be learned about the t-distribution at https://brainly.com/question/13873630

HURRY PLEASE SOLVE will give brainliest!!!​

Answers

2

x-9 = -5

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

-4

2

X

+2= 4 + 62 =66 +9 = 75

Introduction to Functions (40-41)
Find which relations below represent functions. Write function if it represents a function in the blanks provided.
Otherwise, write not a function in the blanks provided below the tables.
A
B
X1

X1
уі
X1

7
0
3
Сл
-4
-3
5
5
Сл
7
-4
1
-8
2
7
9
10
-4
-1
-1
15
7
-4
-3
7
-2
or do
20
5
7
-4
-5
1

Answers

Answer:

try the option provided in the attachment.

Table B and C are represent the function.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find which relations below represent functions.

Now,

We know that;

A relation between a set of inputs having one output each is called a function.

Hence, By table 1;

Each output has same input.

Thus, Its not represent function.

By table 2;

A set of inputs having one output each.

Hence, Its represent function.

By table 3;

A set of inputs having one output each.

Hence, Its represent function.

Thus, Table B and C are represent the function.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Question 2 of 5
Which choice describes the shape of the data?
83 84 85 86 87 88 89 90 91 92
A. Symmetric; not bell-shaped
ОО o
B. Not symmetric; not bell-shaped
C. Symmetric, bell-shaped
o
D. Not symmetric, bell-shaped

Answers

D the answer is D. I know this Bc I did that 2 weeks ago and had 2 test on this and made 100% on both test

Greg works mowing lawns and babysitting.he earns $8.90 and hour for mowing and 7.90 and hour for babysitting how much will he earn for 6 hours of mowing and 5 hours of babysitting ?

Answers

Answer:

92.9

Step-by-step explanation:

8.90 times 6 equals 53.40

7.90 times 5 equals 39.50

39.50 plus 53.40 equals 92.9

The diameter of a circle is 13 m. Find its circumference in terms of pie

Answers

Answer:

The answer is [tex]13\pi[/tex] or 40.84

Step-by-step explanation:

We are given the diamater so

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{13}{2}[/tex]

[tex]r=6.5[/tex]

Formula for circumference.

Take note.

C = circumference

r = radius

[tex]C=2\pi r[/tex]

You want your answer in terms of Pi.

So we can write another equation.

[tex]2\pi r=\pi x[/tex]

x stands for the number in terms of Pi.

Now we can solve for x.

[tex]x=\frac{2\pi r}{\pi }[/tex]

Now lets plug in what we know.

[tex]x=\frac{2*\pi*6.5 }{\pi }[/tex]

[tex]x=13[/tex]

how do i get my math grade up ​

Answers

Answer:

just practice alot . .. ...........

Answer:

you could do all your work and try to ask the teacher for help

Step-by-step explanation:

helpppp
Solve for x.

Answers

Answer:

x = 28.744

Step-by-step explanation:

Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.

Tan(32)=x/46

Tan(32)46=x

28.744=x

The vertices of quadrilateral ABCD are (-6,6),(3,6),(3,-6) and (-3,-3)

Quadrilateral EFGH will be a dilation if quadrilateral ABCD with a scale factor of 1/3


At what coordinates should point F, of quadrilateral EFGH, be plotted?

A. (2,2)
B. (1,2)
C. (2,1)
D. (1,1)

Answers

Answer: B

Step-by-step explanation:

Jen buys 4 tires for $272. Each tire was the same price.

What is the cost of 1 tire

Answers

Answer: 1 tire would cost 68$

Step-by-step explanation:

can I have brainliest pls <3

Answer:

here we've been given the cost of 4 tires. and we've to find the cost of one tire.

in such a situation , we usually divide the cost of " n " number of tires by " n " ( where , n = number of tires )

so , here we go -

_____________________________

[tex]\bold{cost \: of \: 4 \: tires = 272 \: dollars }\\ \\ cost \: of \: 1 \: tire = \frac{272}{4} \: dollars \\ \\ \dashrightarrow \: 68 \: dollars[/tex]

_____________________________

hope helpful :D

Please Help!!


Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5. 7% over the previous year.


Write an exponential function, f(x), that models the tons of cherries produced by Cherry Hill Orchards x years after 2012.


Enter your answer by filling in the boxes.

f(x)= -------- * ( )^x

Answers

Answer:

[tex]f(x)=500*(.057)^x[/tex]

Step-by-step explanation:

A survey of high school juniors found the 75% of the students plan on attending college. If you pick 3 students at random, what is the probability that at least two plan on attending college? Round to the nearest percentage.

Answers

Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.

Probability

Using Binomial Distribution

Given:

n = 3

p = 0.75

q = 1-0.95 = 0.25

Hence:

P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³

P[≥2] = P[2] + P[3]=0.421875+0.421875

P[≥2] = P[2] + P[3]=0.84375×100

P[≥2] = P[2] + P[3]=84% (Approximately)

Inconclusion the probability that at least two plan on attending college is 84%.

Learn more about probability here:https://brainly.com/question/24756209

What is the total area of the three triangles? 12.5 square units 13 square units 13.5 square units 14 square units

Answers

The area of the considered 3 triangles is given by: Option B: 13 sq. units.

How to find the area of a triangle whose vertices' coordinates are given?

Suppose the vertices of the considered triangle ABC are on [tex]A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)[/tex], then, the area of the triangle is given by:

[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]

For this case, the missing image is attached below.

The second and third triangle are easy as their base and height are parallel to x or y axis.

We will find area of third triangle by coordinates of its vertices.

Getting area of first triangle:

Coordinates of A : (4,10)Coordinates of B : (5,7)Coordinates of C : (7,8)

Thus, we get:

[tex]Area_{ABC} = \dfrac{|4(7-8) + 5(8-10) + 7(10-7)|}{2} = \dfrac{7}{2} = 3.5 \: \rm unit^2[/tex]

Area of second triangle = [tex]\dfrac{|RS| \times h}{2}[/tex]base, and h is the perpendicular line connecting from line RS and the vertex T

From figure we see:

|RS| = 3 units, h = 3 units

Thus, area of second triangle = [tex]3 \times 3 /2 = 4.5 \: \rm unit^2[/tex]

Area of third triangle = [tex]\dfrac{|XY| \times h}{2}[/tex] where XY is base, and h is the perpendicular line connecting from line XY and the vertex Z

From figure we see:

|XY| = 5 units, h = 2 units

Thus, Area of third triangle = [tex]5 \times 2 /2 = 5 \: \rm unit^2[/tex]

Total area = 3.5 + 4.5 + 5  = 13 sq. units

Thus, the area of the considered 3 triangles is given by: Option B: 13 sq. units.

Learn more about area of a triangle from its vertices' coordinates here:

https://brainly.com/question/2532574

Answer:

13

Step-by-step explanation:


Andrea Spent a total of $.43.87 on now clothes at a department store bought one pair of Sandals for $8. One T-shirt for 9.49 and two Jeans The tax on the purchase was $2.88 How much did Andrea pay for one pair of jeans, if each pair costs the same amount.

Answers

Answer:

$11.75

Step-by-step explanation:

We need to first subtract to find our answer :)

43.87 - (8 + 9.49 + 2.88)

43.87 - 20.37

23.50

Now we divide :)

23.50/2 = 11.75

Have an amazing day!!

Please rate!!

You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34 degrees to the bottom of the iceberg. How many meters (to the nearest tenth) does the iceberg extend below the surface?

Answers

Answer: x = 4ooo sin 340 x = 223627 ft.

Step-by-step explanation: The angle between the waterline and the submarine is 34°. How deep is the submarine?

Which expression is equivalent to 7(4x + 2y)?
A) 42xy
B) 28x + 2y
C) 11x + 2y
D) 28x + 14y

Answers

Answer:

D) 28x + 14y

Step-by-step explanation:

7(4x + 2y)

Step 1: Distribute

(7 × 4x) + (7 × 2y)

Step 2: Simplify

28x + 2y

Answer:

[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 7(4x+2y)

Multiply by expanding.

⇒ 7*4x=28x

⇒ 7*2y=14y

Then, rewrite the problem.

⇒ = 28x+14y

Hence, the correct answer is 28x+14y.

I hope this helps you! Let me know if my answer is wrong or not.

A right square pyramid is shown.

The height is 10 centimeters and the side length of the base is 16 centimeters. What is the length, in centimeters (cm), of s?​

Answers

Given the height and the side length of the square pyramid, the length of s is 12.81 cm.

What is the length of s?

A square pyramid is a three-dimensional object that is made up of a square base and four triangular bases that are joined together at a vertex.

S in the diagram represents the slant height of the square pyramid.

The formula that can be used to determine the slant height is:

s² = r² + h².

Where:

r = side length / 2 = 16/2

s = √8² + 10²

s = 12.81 cm

To learn more about a pyramid, please check: https://brainly.com/question/9222686

IMAGE BELOW I WIL GIVE BRANLIEST

Answers

Answer:

The scale factor is 2.

Step-by-step explanation:

From the coordiante plane, we can see that:

Point H(4) has been expanded to 4 {4 · 2 = 8}

Point G(1) has been expanded to 2 {1 · 2 = 2}

Point I(-2) has been expanded to -4 {-2 · 2 = -4}

hope this helps!

Can someone help me please and thank you! :))))​

Answers

Original price = $7200

But he bought it for 65%

So it is just 65% of $7200

0.65 * $7200 = $4680

Other Questions
A triangle has sides with lengths of 12 kilometers, 12 kilometers, and 17 kilometers. Is it a right triangle? Draw the graph of y = 3x - 1 on the grid use the graph to estimate y when x = 2.5 Solve each system by substitution. Show all work.4x + y = 0-x - 2y =7 which organelle produces the cells energy According to Gloria Steinem, how do we define the roles of men and women? Cite evidence from this text, your own experience, and other literature, art, or history in your answer (Any 3 of these).(Paragraph long answer please) The number 9 is a common factor of _________.A) 6 and 9B) 9 and 36C) 16 and 27 System of Equations Explain steps *prove de/ae = bd/ce*triangle proportionality.i am able to find that the triangles are similar but dont know how to prove the parallel sides are proportional to the side segments PLEASE HELP ASAP!! Also, please explain how to solve. Thank you For each of the following, draw a diagram or use words to explain your answer.A. How many 2/3 are in 2?B. How many 1/10 are in 3? A stack of books is 56 inches high. How high is it in feet and inches? The price for a gallon of gas is $4.99 how much is it going to cost for 20 gallons ? A rectangle is 2/5 (fraction) inches long and 1/3 inches wide.What is the area of the rectangle?Enter your answer as a fraction in simplest form by filling in the boxesin2__/__ in2 Please help me to answer this Help me plss4b(9b^5+7b^4) Which characteristics of a tragic hero does macbeth possess and banquo lack Fatima has 3 packs of batteries. Each pack contains 4 batteries. She gives her brother 8 batteries to put in his toy robot.Let b represent the number of batteries Fatima has left.Which equation could be used to find the value of b?348=b3+48=b3 4 + 8 = b3 + 4 + 8 = b Can someone please help me? I really need this grade and Im very lost in all of these questions. Thank you. Which protist group is thought to be most closely related to animals?. The regular octagon shown is enlarged so that its side are 3 timesas large. What affect does this have on the perimeter?