The temperature at 6:00 a.m. was ‐3.5°C. From 6:00 to 7:00, the temperature increased 2.5°C. From 7:00 to 8:00, it decreased by 0.25°C, and from 8:00 to 11:00, the temperature dropped 3.25°C. Which expression shows the temperature in °C at 11:00 a.m.?

The Temperature At 6:00 A.m. Was 3.5C. From 6:00 To 7:00, The Temperature Increased 2.5C. From 7:00 To

Answers

Answer 1

The expression that shows the temperature in °C is [tex]-3.5+2.5+(-0.25)+(-3.25)[/tex].

Step-by-step explanation:

Step 1:

The initial temperature at 6.00 am was [tex]-3.5[/tex] °C.

Step 2:

From 6.00 to 7.00 am, the temperature increased by another 2.5°C, so the temperature at 7.00 am was [tex](-3.5 + 2.5)[/tex] °C.

Step 3:

From 7.00 to 8.00 a.m, the temperature decreased by another 0.25°C, so the temperature at 8.00 am was [tex](-3.5+2.5+(-0.25))[/tex] °C.

Step 4:

From 8.00 to 11.00 a.m, the temperature dropped by another 3.25 °C, so the temperature at 11.00 am was [tex](-3.5+2.5+(-0.25)+-(3.25))[/tex] °C which is represented by the fourth option.

Answer 2

Answer:

A i did did question on think through math think it is the answer

Step-by-step explanation:


Related Questions

Which of the following expressions results in 0 when evaluated at x = 3?

Answers

Answer:

You need to provide the expressions you have to choose from.

Step-by-step explanation:

Marvin washes 10 1/2 crates in 3/4 hours. At this rate how many crates can he wash in one hour?

Please help us due tomorrow 3/3/2020!!!

Answers

To work this one out, you want to divide 10 1/2 by 3/4 right? So to do that, you want to change 10 1/2 to an improper fraction (21/2) and multiply it by 3/4’s reciprocal (4/3) and use cancellation to get the answer 14. Attached is an example of how to work it out on paper.

What is the volume, in cubic m, of a cube with an edge length of 11m?

Answers

the volume of cube with edge length 11 m is [tex]Volume = 1331m^3[/tex] .

Step-by-step explanation:

Here  we have a side length of a cube as 11 m . We need to find the volume of cube . Let's find out:

We know that every side of a cube is identical and equal . And volume of cube is given by formula :

⇒ [tex]Volume = (side)^3[/tex]   ...........(1)

According to question we have following parameters as

[tex]side = 11m[/tex]

Putting this in (1)

⇒ [tex]Volume = (11m)^3[/tex]

⇒ [tex]Volume = 11(11)(11)m^3[/tex]

⇒ [tex]Volume = (121)(11)m^3[/tex]

⇒ [tex]Volume = 1331m^3[/tex]

Therefore , the volume of cube with edge length 11 m is [tex]Volume = 1331m^3[/tex] .

The volume of the cube is 1331 m³

Explanation:

Given:

side of the cube, a = 11m

Volume of the cube, v = ?

we know:

Volume of the cube = (a)³

V = (11m)³

V = 1331 m³

Therefore, the volume of the cube is 1331 m³

Each of the letters of the word ALABAMA are written on a piece of paper and then put into a bag. A piece of paper is drawn at random. What is the theoretical probability, as a decimal, of drawing an A? Round the decimal to the nearest hundredth.

Answers

Final answer:

The theoretical probability of drawing an 'A' from the word 'ALABAMA' is 0.57. This result arrives from dividing the number of 'A's (4) by the total number of letters in 'ALABAMA' (7).

Explanation:

The question deals with a probability problem related to the selection of letters from the word 'ALABAMA'. The word 'ALABAMA' has 7 letters out of which 4 are 'A's. The theoretical probability is calculated as the number of successful outcomes divided by the total number of outcomes. Since we are interested in drawing an 'A', the successful outcomes are the number of 'A's which is 4, and the total outcomes are the total number of letters which is 7.

To calculate theoretical probability, you divide the number of successful outcomes by the total number of outcomes. In this case, the calculation will be 4 / 7 = 0.57 (rounded to the nearest hundredth).

So, the theoretical probability of drawing an A from the word 'ALABAMA' in decimal form, rounded to the nearest hundredth, is 0.57.

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I need help with this question please
ANSWER ASAP!!!

Answers

Area of the larger circle is 9/4 πx²

Step-by-step explanation:

Step 1: Given area of the small rug = 1/4 πx² Compare this to the formula for area of a circle.

⇒ 1/4 πx² = πr²

⇒ x²/4 = r²

∴ r = x/2

Step 2: Given radius of the larger circle is 3 times that of the smaller circle (r = 3x/2), find area of the larger circle.

Area of the larger circle = πr² = π × (3x/2)²

                                        = 9/4 πx²

let f(7)=12 and g(2)=7 what is the value of (f•g)(2)

Answers

Final answer:

The value of (f•g)(2), given f(7)=12 and g(2)=7, is 12. This is found by first applying g to 2 to get 7, and then applying f to get f(7), which equals 12.

Explanation:

The question pertains to the composition of functions and the use of the chain rule in calculus. Given that f(7)=12 and g(2)=7, we need to find the value of (f•g)(2). The notation (f•g)(x) means we first apply g to x, and then apply f to the result of g(x). Therefore, to find (f•g)(2), we first find g(2), which is 7, and then find f(g(2)) which is f(7). Since we know that f(7)=12, the value of (f•g)(2) is therefore 12.

A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. ​Is it a right triangle

Answers

A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. It is a right triangle because the square of the largest side length is not equal to the sum of the square of the other two small side lengths and it can be determined by using the properties of the right triangle.

Given that,

A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. ​

We have to determine,

Is it a right triangle?

According to the question,

To determine the right triangle following all the steps given below.

A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. ​

The condition for the right triangle;

The square of the largest side length is not equal to the sum of the square of the other two small side lengths then it is called the right triangle.

Then,

[tex]= (4)^2+(5)^2 = 7^2\\\\= 16 +25 = 49\\\\=41\neq 49[/tex]

Hence, Yes it is a right triangle because the square of the largest side length is not equal to the sum of the square of the other two small sides lengths.

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What is the answer 2-2n=3n+17

Answers

Answer:

n=-3

Step-by-step explanation:

2-2n=3n+17

Add 2n to each side

2-2n+2n=3n+2n+17

2 = 5n+17

Subtract 17 from each side

2-17 = 5n+17-17

-15 = 5n

Divide by 5

-15/5 = 5n/5

-3 =n

Answer:

n = -3

Step-by-step explanation:

2 - 2n = 3n + 17

Collect the like terms

-2n - 3n = 17 - 2

-5n = 15

Divide both sides by -5

n = 15/-5

n = -3

Charlotte wants to swim 50 miles this school year she plans to swim 1/4 miles each day how many days Will it take her to swim 50 miles

Answers

You want to multiply 50 by 1/4. To do this you do 50/1 x 1/4 and use cancellation. (Although in this situation you can’t cancel out anything) the answer is 12 2/4 but in simplest terms it is 12 1/2

The image attached is showing how to work it out on paper.

What is the solution to the inequality?


6x−5>−29


A.
​ x>−4 ​

​B.
x<4 ​

C.
​ x<−4 ​

​D.
x>4 ​

Answers

C is the right answer


What is the probability of getting a head with the flip of a coin?
A) 0/2
B) 1/4
C) 1/2
D) 2/2

Answers

Answer:

1/2

Step-by-step explanation:

there is two side of a coin, so there is a 1/2 chance that you will head heads.

A coin has two sides, one side is heads, and the other is tails. Since there are 2 sides the probability of getting either heads or tails is 1/2. Therefore, the probability of flipping a coin and getting heads is C) 1/2.

Best of Luck!

Will y’all help me on my last one thank you

Answers

Answer:

$6.00

Step-by-step explanation:

Let's look at our prices:

Sandwich = $3.50

Fruit cup = $1.50

Orange juice = $1.00

Now let's add them:

$3.50 + $1.50 = $5.00

$5.00 + $1.00 = $6.00

Tip: Adding money is like adding regular digits. You also regroup (like we did with 5 + 5) as normal.

PLEASE HELP IT'S SO IMPORTANT PLZ

create word problems that required multi-step mathematical thinking, such as the solution of the equation is then used to determine the actual solution of the question, and SOLVE IT.

Answers

Will this help?

Answers:

1. $8 left

2. 4 minutes

3. 9 balloons

Questions

1. Craig has a twenty dollar bill. He buys six squirt guns

for $2 each. How much money did Craig have left?

2. Lauren and Gina's mother told her daughters they can

swim in the pool for 20 minutes. First, they swam laps in

the pool for 7 minutes. Then they swam underwater for

one minute. Then they played water polo for 8 minutes.

How much longer can they stay in the pool?

3. Maria invited 4 of her friends over for a water balloon fight in

the backyard. At the start of the game, Maria gave each of

her friends 2 water balloons. She had one water balloon for

herself. How many water balloons did they have altogether?

Prove algebraically what type of function this is (even, odd, or neither).

Answers

The given function is even.

Solution:

If f(-x) = f(x), then the function is even.

If f(-x) = -f(x), then the function is odd.

Given function:

[tex]f(x)=x^{6}-x^{4}[/tex]

Substitute x = -x

[tex]f(-x)=(-x)^{6}-(-x)^{4}[/tex]

          [tex]=x^{6}-x^{4}[/tex]

          = f(x)   (given)

   f(-x) = f(x)

From the definition, it is even.

Hence the given function is even.

HELP PLEASE BE QUICK

Answers

Answer:

Radius is 2 centimeters

Step-by-step explanation:

4π is the area of a circle

Area of a circle = πr^2

4π / π = πr^2 / π

sqrt(4) = sqrt(r^2)

2 = r

Answer:  Radius is 2 centimeters

The circumference of a circle is 15 meters. Find the area. Use 3.14 for π.

Answers

The correct answer is 17.85.

1) Write in the formula. What equals the perimeter P of the rectangle wich is 25 cm wide. (show the length with the letter b.) 2) Calculate the perimeter of the rectangle when its length is equal to:
a) 45 cm; b) 0.25 m; c) 650 mm; d) 3 m by 9 cm; e) 3 dm.

Please I really need help

Answers

Answer:

1)P = 2 x(L+l) = 2 x (25+L)

2) Maintaing L= 25 cm

P= 2x (25+45) = 140 cm²

P= 2x (25+0,25m) =2x(25+25)= 100 cm²

P= 2x (25+650 mm) =2x(25+65)= 180 cm²

d) ambigous

P= 2x (25+3dm) = 2x (25+30)=110 cm²

Step-by-step explanation:


A group of middle school boys have a mean height of 167 cm and a range of 164 cm to 169 cm. A group of high school boys have a mean height of 180 cm and a range of 175 cm to 183 cm. Which statement BEST compares the two groups of boys?

Answers

Answer:

C

Step-by-step explanation:

The high school boys vary in height more than the middle school boys.

middle school boys range = 169 − 164 = 5 cm

high school boys range = 183 − 175 = 8 cm

The range for both conditions is 5 cm and 8 cm respectively.

What is the range?

The difference between the highest and lowest value data points of the provided data is known as the range in mathematics.

In statistics, the mean is the product of all the values in a set of data divided by the total number of values in the data for a given set of observations.

The high school boys vary in height more than the middle school boys.

Middle school boys range = 169 − 164 = 5 cm

High school boys range = 183 − 175 = 8 cm.

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Sin(pi/2-x)/cot^2(pi/2-x)+1

Answers

Answer:

[tex] { \cos}^{3} x[/tex]

Step-by-step explanation:

We want to simplify:

[tex] \frac{ \sin( \frac{\pi}{2} - x) }{ { \cot}^{2} ( \frac{\pi}{2} -1 ) + 1} [/tex]

Use the Pythagorean identity:

[tex] { \csc}^{2}x = { \cot}^{2}x + 1[/tex]

We apply this property to get:

[tex] \frac{ \sin( \frac{\pi}{2} - x) }{ { \csc}^{2} ( \frac{\pi}{2} -x) } [/tex]

This gives us:

[tex]\frac{ \sin( \frac{\pi}{2} - x) }{ \frac{1}{{ \sin}^{2} ( \frac{\pi}{2} -x)} } [/tex]

We simplify to get:

[tex]\sin^{3} ( \frac{\pi}{2} -x)[/tex]

[tex](\sin ( \frac{\pi}{2} -x))^{3}[/tex]

Apply the complementary identity;

[tex](\cos x)^{3} = { \cos}^{3} x[/tex]

Below is a drawing of a wall that is to be covered with either wallpaper or paint. The wall is 8 ft. high and
16 ft wide. The window, mirror, and fireplace are not to be painted or papered. The window measures 18 in wide
and 14t. high. The fireplace is sit wide and 3 it. High while the mirror above the fireplace is 4 ft. wide and 2 ft.
high. Note: this drawing is not to scale)
How many square feet of wallpaper are needed to cover the wall?

Answers

84 sq. ft of the wall has to be covered with paint or wallpaper.

Step-by-step explanation:

Step 1: Find the area of wallpaper to be covered by calculating the area of the wall and subtracting the areas of the window, mirror and fireplace from it. All are rectangular in shape with are given by A = length × width

Area of the wall = 8 × 16 = 128 ft²

Area of the window = 18/12 × 14 = 1.5 × 14 = 21 ft² (since 1 ft = 12 in)

Area of the fireplace = 5 × 3 = 15 ft²

Area of the mirror = 4 × 2 = 8 ft²

Step 2: Calculate the area to be painted or covered with wallpaper

Area of the wall to be covered with paint or wallpaper = 128 - (21 + 15 + 8)

                              = 128 - 44

                              = 84 ft²

Answer:

84 ft²

Step-by-step explanation:

Step 1: Find the area of the wall.

The wall is 8 ft high and  16 ft wide

A = LW

A = (16)(8)

A = 128 ft²

Step 2: Find the area of the window, fireplace, and mirror.

Window: The window measures 18 in wide  and 14 ft high

18 in = 1.5 ft

A = LW

A = (14)(1.5)

A = 21 ft²

Fireplace: The fireplace is 5 ft wide and 3 ft high

A = LW

A = (3)(5)

A = 15 ft²

Mirror: The mirror above the fireplace is 4 ft wide and 2 ft high

A = LW

A = (2)(4)

A = 8 ft²

Step 3: Add all the areas of the three objects (window, fireplace, and mirror)

A = 21 + 15 + 8

A = 36 + 8

A = 44 ft²

Step 4: Subtract the total area of the objects from the area of the wall.

A = 128 ft² - 44 ft²

A = 84 ft²

Kona’s mother wanted to find out how many minutes her family spends on the phone for each call made. She put her data in a table after a week of observation as shown below. She asked Kona to make a histogram from the data.

Minutes
Number of Calls
1 - 5
2
6 - 10
5
11 - 15
6
16 - 20
10
21 - 25
7
26 - 30
2
31 - 35
1
36 - 40
0
41 - 45
2
46 - 50
1

Which chart has the correct setup for Kona’s histogram?
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 0 to 12, minutes on phone, number of calls.
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 1 to 12, number of calls, minutes on phone.
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 5, 1 to 12, minutes on phone, number of calls.
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 5, 0 to 12, number of calls, minutes on phone.

Answers

Answer:

D—

The histogram will have a horizontal or an x axis of time/minute intervals of the calls (5 minutes in each), and the vertical axis or y axis will be the number of calls made.

Answer:

d

Step-by-step explanation:

yo welcome

A salesperson earns a weekly salary of $175 plus a 4% commission on the
sales of bicycles made during the week. If the salesperson's bicycle sales
for the week total $4500, how much did the salesperson earn for the week

Answers

Answer:

$355

Explanation:

See the photo attached :)

Solve for x (to the nearest tenth)

Answers

Step-by-step explanation:

By Geometric mean property:

[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]

a group of rangers work 5 days per week. it takes them 4 days to plant trees on 1/2 acre.what is the unit rate per week

Answers

Final answer:

The unit rate at which the group of rangers plants trees is 5/8 of an acre per week, which is found by calculating the daily acreage planted and then multiplying by the number of workdays in a week.

Explanation:

To determine the unit rate per week of the group of rangers planting trees, we need to calculate how much of an acre they can plant in a standard work week. As it takes them 4 days to plant trees on 1/2 acre, they will plant 1/2 acre in every 4 days of work. Since they work 5 days per week, we can adjust the ratio to calculate the weekly rate:

1/2 acre in 4 days is equivalent to (1/2 acre)/(4 days).Now, find out how much is planted in 1 day: (1/2 acre)/(4 days) = 1/8 acre in 1 day.Finally, multiply by 5 to get the weekly amount: (1/8 acre) * 5 days = 5/8 acre per week.

Therefore, the unit rate at which the group of rangers plants trees is 5/8 of an acre per week.

Pls help me with this question

Answers

The solutions are £5575, £312.5 and £345 respectively.

Step-by-step explanation:

Step 1: Find the amount of Swedish kronor received by Theo in exchange for £500

£1 = 11.15 kr

⇒ £500 = 500 × 11.15 = £5575

Step 2: Find the amount of Swiss francs received by Theo in exchange for £250

£1 = 1.25 CHF

⇒ £250 = 250 × 1.25 = £312.5

Step 3: Find the pounds to get 407.10 euros.

£1 = 1.18 euros

⇒ 407.10 euros = 407.10/1.18 = £345

how can something me nonlinear

Answers

i won’t be a straight line

Pamelas age is. 2 times jiris age. The sum of their ages is 30.what is jiris age?

Answers

Answer: 10

p = Pamela’s age, j = Jiris’ age

2j = p
p + j = 30

Then change things around a bit...
p + j = 30 or
30 - p = j

Then substitute
2(30 - p) = p

And solve
2(30 - p) = p
60 - 2p = p
60 = 3p
p = 20

Answer:

Pamela is 20 years old

Jiris is 10 years old.

Step-by-step explanation:

The very first step is to identify your variables. Let's say that Pamela is 'P' and lets say Jiris is 'J.' The next step is to create an equation. 'The sum of their ages is 30' is something that we can use. So, P + J = 30. The next step is to see that Pamela is two times Jiris' age. So we can say that P = 2J. Now, in order to solve for one variable, we need to do some substitution. We know that P = 2J, so we can plug that into the first equation (P + J = 30). With this change, we now have, 2J + J = 30. With that, you combine like terms and solve for J to get an answer of J = 10. Now we can use that number and plug it into one of our previous equations, like P + J = 30. Now it is going to be P + 10 = 30. Solve for P and get an answer of 20 years old.

Given f(x) and g(x) = k·f(x), use the graph to determine the value of k.
g(x)

Answers

Explanation:

The diagram for this exercise is attached below. We have two linear functions [tex]f(x) \ and \ g(x)[/tex] and the following relationship:

[tex]g(x) = kf(x)[/tex]

From the graph, we know that:

[tex]f(-3)=1 \\ \\ g(-3)=-3[/tex]

Then, substituting into the relationship:

[tex]g(-3)=kf(-3) \\ \\ -3=k(1) \\ \\ \\ Finally: \\ \\ \boxed{k=-3}[/tex]

A parallelogram is always which of these?

A. rhombus
B. quadrilateral
C. rectangle
D. square

Answers

B. Quadrilateral

Reasoning: a square must have 4 equal length sides with 4 right angles, and rectangle must have two sets of equal length sides with 4 right angles. A rhombus must have 4 equal length sides. A parallelogram does not fit into any of these 3 options all the time, so the only answer could be B

What is an equation of the line that passes through the points (7, -6) and (3, -6)

Answers

Answer:

y=-6

Step-by-step explanation:

Other Questions
Find the area of the shape shown below. Christopher works as a news anchor for a television network. In addition to his regular pay, at the end of each year, his company pays him and his co-workers additional compensation as a "thank you" for good work. This monetary reward would most likely be categorized as a An investor at the firm insists on buying a stock in order to receive the dividend, despite being advised against this by their registered representative. The stock's record date is Monday, October 23rd. Assuming a regular-way settlement, the latest that this investor could buy the stock and still receive the dividend is[A] Wednesday, October 18th.[B] Thursday, October 19th.[C] Friday, October 20th.[D] Saturday, October 21st. Caffeine, a molecule found in coffee, tea, and certain soft drinks, contains C, H, O, and N. Combustion of 10.0 g of caffeine produces 18.13 g of CO, 4.639 g of HO, and 2.885 g of N. Determine the molar mass of the compound if it is between 150 and 210 g/mol. points [50] Amelie's bird cage is shaped like a rectangular prism. The cage has a height of 26 inches and a volume of 7,280 cubic inches. Amelie puts a piece of newspaper on the bottom of the cage. The newspaper fits the bottom of the cage perfectly.What is the area of the newspaper on the bottom of the cage?Enter your answer in the box. d PracticeUse the Hints on this page to help you answer the questions.5At the beginning of the story, what is Angie's attitude?A She is frustrated by the lack of help she gets from her friendsB She trusts only Karim for reliable help and advice.C She thinks she's the only one competent to organize the event.D She is glad to be part of a team working on a project. Historian Stephanie Coontz points out that by 1978, __________ percent of the population thought that it was morally okay to be single and have children. Group the elements into pairs that would most likely exhibit similar chemical properties. It does not matter which pair of elements is pair 1, pair 2, or pair 3, so long as the correct elements are paired. Pair 1 Pair 2 Pair 3a. F Kb. Pc. Asd. Br Li A U.S. manufacturer is willing to assume the trading risk in a foreign country but maintains the right to establish policy guidelines and prices and to require its agents to provide sales records and customer information. What type of middleman should the company choose? Camilo's property, with an adjusted basis of $302,200, is condemned by the state. Camilo receives property with a fair market value of $347,530 as compensation for the property taken.a. What is Camilos realized and recognized gain?b. What is the basis of the replacement property In the epinephrine pathway, an inhibitor of phosphodiesterase activity would have which of the following effects? A. block the activation of protein kinase A B. block the activation of G proteins in response to epinephrine binding to its receptor C. prolong the effect of epinephrine by maintaining elevated cAMP levels in the cytoplasm D. block the response of epinephrine Early in 2022, Stevenson Incorporated switched to a JIT (just-in-time) inventory system. Financial information for the two most recent years is listed below: How many times did inventory turnover increase as a result of the switch to the JIT system? A force is a A. push B. pull C. Both A and B D. Neither A nor B The author contrasts words with positive and negativeconnotations tocreate humor.encourage debate.clarify his argument.make an emotional appeal. A 34-year-old woman who has no past medical problems nor is currently taking any medications comes into your office because she noticed a tender lump in her left breast starting approximately one month ago. She is worried because she has an aunt who had breast cancer that was BRCA positive, though her mother is BRCA negative. Her periods have been regular since they started at the age of 13 and occur every 32 days. She is currently menstruating. She has three children aged 12, 9, and 4. On exam, her BMI is 32, up from 28 three years ago and her other vital signs are stable. On breast exam, you note a mobile rubbery mass of approximately 1 x 1cm and with regular borders that is tender to palpation. You appreciate no axillary adenopathy. The rest of her physical exam is unremarkable. Of the information provided, which of the following places this patient at increased risk for breast cancer?A. AgeB. WeightC. Parity historyD. Family history of cancerE. Age of menarche 2 PointsWhich statement is true?OA. The growth of suburbs caused many new types of business to dowell.OB. The growth of suburbs caused most businesses to fail.OC. The growth of suburbs meant that most new businesses were setup in the cities.O D. The growth of suburbs meant fewer job opportunities.SUBMIT Solve for x: 2 over x - 2 + 7 over x^2 - 4 = 5 over xA. x = -4/3 and x = 5B. x = -4/3 and x = 5C. x = 4/3 and x = 5D. x = 4/3 and x = 5 The ratio of the number of boys to the number of girls at school is 4:5. a. What fraction of the students are boys? b. If there are 120 boys, how many students are there altogether? * Quadrilateral ABCD is an isosceles trapezoid with median EF. Which of the following statements is true?Select the best answer from the choices provided.A. EF is parallel to the bases.B. EF = 2(AB + DC)C. 1/2EF = AB + DCD. EF =1/2(AD + CB) According to Holmes and Rahe, who developed the Social Readjustment Rating Scale, persons who experience a number of major life changes over the course of a year are likely to have what kind of experience in the next one-two years? Select one:a. Change of jobs more frequently than usual.b. Have a high probability of getting a divorce.c. Have a high probability of committing a crime.d. Experience more health problems than usual.