What were William's total fixed and variable expenses during the first year of college? Select the correct answer from each

drop-down menu.

**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**

variable expenses sum is 6,100

fixed expenses sum is 18,942

3 x blank x blank x blank = 36

**Answer:**

3x2x2x3

**Step-by-step explanation:**

3x2x2x3= 36

I hope that was helpful!

My pleasure to help!!

how long would it take to drive 1km at a speed of 1.71km/h (with working)

It would take 35 minutes to drive 1 km at a **speed** of 1.71 km/h.

**Speed** is the ratio of **distance** traveled in a given time. **Speed** is given by distance/time.

The **time** can be computed by dividing distance by speed.

This implies that time is the **quotient** of distance and speed.

The total distance drove = 1 km

The driving speed = 1.71 km/h

Time = Distance/Speed

= 1/1.71

= 0.58 hours

= 0.58 x 60 seconds

= 35 minutes 5 seconds

Thus, to travel 1 kilometer at the **speed** of 1/71 kilometers per hour would take 35 minutes.

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Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.

(2,-6); y = 2/3x-4

**Answer:**

**Step-by-step explanation:**

2

Combine multiplied terms into a single fraction

3

Find common denominator

4

Combine fractions with common denominator

5

Multiply the numbers

Larry plants to invest 275,000 for 30 years at an anticipated rate of 6% per annum compounded yearly what is the approximate difference in his ending balance of the actual rate is 5% instead of six

Answer:

**$390,000**

Explanation

To do this, we will use the compound interest formula;

A = P(1+r)^t

P = 275000

rate r = 6%

Time t = 30years

Substitute

A = 275000(1+0.06)^30

A = 275000(1.06)^30

A = 275000(5.7435)

A = 1,579,460.07

For the rate of 5%

A = 275000(1+0.05)^30

A = 275000(1.05)^30

A = 275000(4.3219)

A = 1,188,534.15

Takeing their difference;

Difference = 1,579,460.07-1,188,534.15

Difference =390,925.92

**Hence the approximate difference in his ending balance of the actual rate is 5% instead of six is about $390,000**

i'll give you brainliest

1. Correct

2. Incorrect

2. Incorrect

Find the value of each variable

**Answer:**

x = 58°

y = 74°

z = 106°

w = 42°

**Step-by-step explanation:**

**Finding the value of unknown variables:**

** ** x + 32° = 90°

x = 90 - 32

[tex]\sf \boxed{\bf x = 58^\circ}[/tex]

x + y + 48 = 180 {**Angle sum property of triangle**}

** **58 + y + 48 = 180

** **y + 106 = 180

** **y = 180 - 106

** **[tex]\sf \boxed{\bf y = 74\°}[/tex]

y + z = 180 {**Linear pair**}

74 + z = 180

** **z = 180 - 74

** **[tex]\sf \boxed{\bf z = 106\°}[/tex]

32 +z + w = 180 {**Angle sum property of triangle**}

32 + 106 +w = 180

138 + w = 180

w = 180 - 138

[tex]\sf \boxed{\bf w = 42\°}[/tex]

A triangle has been plotted on the coordinate plane.

Which series of transformations will result in Point B” being the greatest distance from the x-axis.

A - reflect over the x-axis then rotate 90° clockwise

B - rotate 80° clockwise then reflect over the line x= -1

C - rotate 90° clockwise then translate following the rule (x+1, y-1)

D - translate (x+1,y-1) then reflect over the y-axis

REALLY NEED THIS

When a **point **is reflected across the x-axis, the **x-coordinate** remains **unchanged**, but the y-coordinate is assumed to be the **additive** inverse. **Point **(x, yreflection )'s across the x-axis is (x, -y). A point's **reflection **over the y axis is shown. The **reflection **rule over the y axis is (x,y)(x,y).

A **coordinate plane **is a two-dimensional plane formed by two number lines **intersecting**. One of these number lines is a **horizontal **number line known as the **x-axis**, and the other is a **vertical **number line known as the y-axis.

1) Determine the absolute **value **of x1(y2-y3) + x2(y3-y1) + x3(y1-y2).

2) The area of the **triangle **is calculated by **dividing** this value by two.

3) Use our area of a **triangle **with **coordinates **calculator to confirm this result.

The **coordinate plane** can be used to draw lines and points. This system allows us to visually describe **algebraic **relationships, as well as create and **interpret **algebraic concepts.

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13 What value of x makes the equation modeled below true? PHONE 1 1 1 A x = 1 B x = -1 C x = 7 D x = -5 I

SOLUTION

Step 1 : We need to recognize the value of x in 5 places means 5 x

and the value of 1 in 6 times means 6,

so we have that: 5 x + 6 = 1 .

Step 2 : We need the linear equation: 5 x + 6 = 1

collecting like terms, we have that:

5 x = 1 - 6

5 x = - 5

Divide both sides by 5 , we have that:

x = - 1

**CONCLUSION : The value of x = -1 ( OPTION B )**

32 is 80% of what number?

**Answer:**

**40 **

**Step-by-step explanation:**

Given :

32=0.8x

( x is unknown number )

x=32/.8

x=40

-53 = 8y + 4y - 17 solve for y and simplify as much as possible

**Answer:**

y = -3

**Step-by-step explanation:**

-53 = 8y + 4y - 17

combine y terms on right side:

-53 = 12y - 17

add 17 to both sides:

-53 + 17 = 12y - 17 + 17

-36 = 12y

divide both sides by 12:

-36/12 = 12y/12

**y = -3**

Over the last four months, your investment lost

10%, 20%, 30%, and then 40%. What percent

of the original investment do you have left?

**Answer:**

30.24%

**Step-by-step explanation:**

Each time you lose x%, you end up with 1 - 0.01x.

For example, if you lose 10% of an amount, you end up with 1 - 0.01(10), or 0.9 times the original amount.

Let's say you started with x.

You lost 10%. Now you have 0.9x.

Then you lost 20% of the remaining amount. Now you have 0.8(0.9x).

Then you lost 30% of the remaining amount. Now you have 0.7(0.8)(0.9x).

Finally you lost 40% of the remaining amount. Now you have 0.6(0.7)(0.8)(0.9x).

The final amount you have is

0.6(0.7)(0.8)(0.9x) = 0.3024x = 30.24% of x

Answer: 30.24%

Nitin and Sharat were going to Delhi by different trains.

Their trains were scheduled to reach at 10:30 am and 11:15am respectively.

Nitin’s train reached late but Sharat’s train reached on time.

Nitin’s train reached 10 minutes AFTER Sharat’s train.

By how many minutes was Nitin’s train late?

**Answer:**

55 minutes

**Step-by-step explanation:**

sharat's train arrived on time (11.15) but Nitin's was after and 10 mins later it'd be 11.25

Find the range, variance & standard deviation of the following sample dataset. Round all answers to the nearest tenth.

The following data represent the number of students from each school that attended a debate tournament: 75, 47, 50, 71, 64, 50, 52, 56, 53, 47, 55

**Answer:**

The range is 28

The variance is 90.855

The mean is 56.36

The median is 53

The sample standard deviation is 9.532

**Step-by-step explanation:**

a certain bacteria doubles every 2 seconds. Starting from a single bacterium, how many bacteria will be there after 20 seconds?

The answer will de 10 bacterias

**Answer: 1024**

**Step-by-step explanation: Since there's only 1 bacteria at first, we can just do 2^x. x being the amount of time divided by the amount of time between each time it doubles. Since the bacteria doubles every 2 seconds, and 20/2 = 10 we get 2^10 which is 1024.**

Refer to Expression 1 and Expression 2.

Expression 1

6-7-3².9+43

r:

Expression 2

5+4+2+6-2-2-1

(a) What is the value of Expression 1?

(b) Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a

value of 19.

a) Value of **Expression** 1 is 29.833.

b) After inserting the **parentheses** the expression is (5+4) * 2 + 6 -2 * 2 - 1.

The order of **operations** to solve in expression 1 is:

First parenthesis, then multiplication and division, and then addition and subtraction.

So, the expression is:

6 × 7 - 3 ÷ 2 × 9 + 4 ÷ 3

First, solve division and then multiplication:

= 42 - 1.5 × 9 + 1.34

= 42 - 13.5 + 1.34

= 29.84

b) Because the parenthesis is the initial action, so insert it in 5+4 which provides the following result:

(5 + 4) × 2 + 6 - 2 × 2 - 1

First, calculate the** parenthesis**, then the multiplication and division, and finally perform addition and subtraction:

= (9) × 2 + 6 - 4 - 1

= 18 + 6 - 4 - 1

= 19

The final value is 19.

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5(1-1)+10=

5(2-1)+10=

5 (3-1) +10=

5(4-1)+10=

**Step-by-step explanation:**

First is

5(1-1)+10= 5×0+10= 0+10 = 10

2nd is

5(2-1)+10=5× 1+10= 5+10=15

3rd= 5(3-1)+10= 5×2+10=10+10=20

4th=5(4-1)+10=5×3+10=15+10=25

*I** **h**o**p**e** **i**t** **w**i**l**l** **b**e** **h**e**l**p**f**u**l** **f**o**r** **y**o**u**.*

The length of the rectangle is 5 more than twice the width. If the perimeter is 10 times that of the width, what is the width, length, and perimeter of the rectangle?

The **length** of the rectangle is 10, the **width** is 2.5 and the **perimeter** is 25

Let the width of the rectangle be x

The length of rectangle = 2x + 5

The overall length of the outline determines a rectangle's **perimeter** in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter.

Perimeter = 10 times of **width**

= 10*x

= 10x

The formula for the perimeter of a rectangle is given:

Perimeter = 2(Length+Breadth)

10x = 2(x + 2x+5)

10x = 2(3x+5)

10x = 6x + 10

4x = 10

x=2.5

**Length** = 10

Width = 2.5

Perimeter = 25

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The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election. What percentage of the members voted?

The **percentage** of members that voted is 70%.

The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election.

Therefore, the** percentage** of the members that voted can be calculated as follows;

**percentage** that voted = number of people that voted / total number members × 100

Therefore,

number of people that voted = 42

total number members = 60

Hence,

**percentag**e that voted = 42 / 60 ×100

**percentage** that voted = 4200 / 60

Therefore,

**percentage** that voted = 70%

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Find the area of the figure below, formed from a triangle and a parallelogram. A figure is formed from a triangle and a parallelogram. The base of the triangle is 8 millimeters and the height is 2 millimeters. The bottom and top of the parallelogram are 6 millimeters and the height is 4 millimeters.

The **total area **of the figure is; 32 millimeters sq.

The **area **of a parallelogram is the product of the **base **and the height of the figure.

The area of a **parallelogram **= Base x Height

We have been given that a parallelogram has a **base **is 6 millimeters and a **height **is 4 **millimeters**

The area of a **parallelogram **= Base x Height

= 6 x 4

**Area **= 24 millimeters sq.

Similarly, The area of the **triangle **= 1/2 x b x h

= 1/2 x 8 x 2

= 8 millimeters sq.

The **total **area of the figure is;

Total = area of the **triangle **+ area of a **parallelogram**

Total = 24 + 8 = 32

Hence, the **total area **of the figure is; 32 millimeters sq.

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A star shape is made out of 5 congruent triangles. the peak of 1 triange is 25°. what are the sizes of the base angles?

**Answer:**

77.5

**Step-by-step explanation:**

180-25=155

155/2=77.5

The team's engagement score was 5.20 this month. the score has been improving at a rate of 8% per month. what was the score 3 months ago? 1.60 3.95 4.13 4.78 5.12

The score 3 months ago was 4.130.

What is **rate of increase?**

**Rate of increase** is defined the change in rate that describes how one quantity changes in relation to another quantity.

Assume the score 3 months ago was x. This means that the above can be expressed as:

Current score = x × ( 1 + rate) ^ number of months

5.20= x(1+8%)^3

5.20 = x(1.259)

x= 5.20/1.259

x= 4.130

therefore, the score was 4.130

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What is 39,400,000 in scientific notation?

**Answer:**

3.94*10^7

**Step-by-step explanation:**

**Answer:**

3.94 * 10^7

**Step-by-step explanation:**

:]

Which of the following values are in the range of the function graphed below?

Check all that apply.

The range of the **function **is 1

As seen by the** graph** in the following figure

As can be seen, x's **value falls** between

nonetheless, y is **equal **to 1 for all values of x.

This holds true regardless of **x's value**.

Consequently, the **function's** range is 1.

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What is the slope of this image?? I NEED HELP

**Answer:**

**Positive**, so the answer would be y=4/2 or 2. **y=2x-4**

**Step-by-step explanation:**

Slope formula** y=mx+b**

The mx is the rise/ over run

The b is the y-intercept

You can check in the end by checking so to see if the rise over the run is correct

Also, you can check the b by looking at the y-intercept, which is -4

Hope this helps!

Which of the following is a balanced equation?

KCIO(3)-->KCI + O(2)

KCIO(3)-->3 KCI + O(2)

2KCIO(3)-->KCI + 3 O(2)

2KCIO(3)-->2 KCI + 3 O(2)

Select one:

a. A

b. B

c. C

d. D

Based on the **chemical equations** given, the **balanced **equation would be d. D.

In Chemistry, a **balanced equation **is one that has the same number of **atoms **on the left side of the equation, as on the right side of the equation.

The balanced equation is therefore:

2KCIO₃ -->2 KCI + 3 O₂

This is because there are 2** KCI atoms** and 6 **Oxygen atoms **on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.

In conclusion, option D is correct.

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the larger number is 18 more than twice the smaller. If the sum of the two numbers is 93, find

oth numbers.

**Answer:**

The larger number is 68 and the small number is 25

**Step-by-step explanation:**

Large number y

small number is x

y=2x+18

x+y=93

Vinny is serving punch to guests at a party. He has $\frac{3}{4}$ of a gallon of punch, and he pours $\frac{5}{64}$ of a gallon into each guest's cup, filling each to the top. At the most, how many guests' cups can he fill to the top?

In serving punch to guests at the party, Vinny can fill 9 guests' cups to the top based on this **unit rate**.

The **unit rate** is the **ratio** of a variable to another.

The whole number here is the total gallons of punch available to serve the guests.

The **unit rate** is the volume that each guest's cup can hold or contain.

This implies that the ratio is 5/64: 3/4

The total number of gallons of punch = 3/4 or 0.75 gallons.

The volume or **capacity** of each guest's cup = 5/64 gallons or 0.078125.

The number of guests' cups to fill to the brim = 9.6 cups (0.75/0.078125)

= 9 guests' cups.

Thus, Vinny can fill 9 guests' cups to the brim, using the given **ratio** or **unit rate**.

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13 gallon of water in a 3-gallon container. What fraction of the container is filled?

**Answer:**

1/9

**Step-by-step explanation:**

There is 1/3 gallon of water in a 3 gallon container. The fraction of the container that is filled is 1/9

**(1/3 of a gallon divided by 3 gallons equals 1/9)**

arif's backyard is 22 by 32 meters. he wants to put a flower garden in the middle of the backyard, leaving a strip of grass of uniform width around the flower garden. to be happy, arif must have 288 m^2 of grass. under these conditions what will the length and width of the garden be?

The **dimension** of the flower garden, which located in the middle of the backyard surrounded by a strip of grass, is 26 m **length** and 16 m **width**.

The situation can be depicted on the attached picture.

We need to translate the word problem into **algebraic expressions**.

Let x be the width of the grass strip.

Let A be the area of the grass strip.

Then,

A = 2 . 22x + 2 . (32 - 2x)x

288 = 2 . 22x + 2 . (32 - 2x)x (divide by 2)

144 = 22x + x(32 - 2x) (divide by 2)

72 = 11x + x(16 - x)

72 = 27x - x²

x² - 27x + 72 = 0

This is a **quadratic equation**. One of the methods to solve a quadratic equation is by **factorization**.

**Factorize** the left side:

(x - 3) (x - 24) = 0

x = 3 or x = 24

The length of the flower garden = 32 - 2x

The width of the flower garden = 22 - 2x

**Substitute** x = 3:

The length of the flower garden = 32 - 2 . 3 = 32 - 6 = 26 m

The width of the flower garden = 22 - 2 . 3 = 16 m

Note that if we substitute x = 24, it will results in negative values while the dimension is always positive.

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Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems. Let x represent the number of 2-point problems. Let y represent the number of 4-point problems. Total amount of points = point worth Â x + point worth Â \

The **equation** that represents the total points on the test formed by the number of 2-point problems and the number of 4-point **problems** will be 2x + 4y = 100.

An **equation** is used to show the relationship between the variables that are given.

In this case, the test in math **class** has problems worth 2 points and problems worth 4 points and altogether the test has 100 points.

Let x represent the **number** of 2-point problems. Let y represent the number of 4-point problems.

The appropriate **equation** will be:

2x + 4y = 100

This illustrates the **equation**

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PLS answer asap, 100 points see attachment
What is the value of x39+ x = 15
aIn a class of students, the following data table summarizes how many students passeda test and complete the homework due the day of the test. What is the probability thata student who passed the test did not complete the homework?Passed the test Failed the testCompleted the homework112.2Did not complete the homework3N
which statement most accurately describes one way that either Judeo-Christan principles or Greco-Roman principles have influenced modern democracy
For what value of x will 3x + 4 = x - 6 be a true statement?A x = -5. x = -5/2C x = -1D x = - 1/2
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question 23 which statement about fat replacers is false? a. fat-based fat replacers are heat stable and used in cake mixes. b. olestra is an artificial fat that delivers a small amount of energy. c. they provided the taste and texture of fats, but with fewer kcalories. d. olestra is fortified with vitamins a, d, e, and k. e. carbohydrate-based fat replacers are used as thickeners in soups.
Which sentence in this excerpt from Mark Twain's "The 1,000,000 Bank-Note" is an example of satire?A. I was admitted by a gorgeous flunkey, and shown into a sumptuous room where a couple of elderly gentlemen were sitting.B. They had just finished their breakfast, and the sight of the remains of it almost overpowered me.C. I could hardly keep my wits together in the presence of that food, but as I was not asked to sample it, I had to bear my trouble as best I could.D. Now, something had been happening there a little before, which I did not know anything about until a good many days afterwards, but I will tell you about it now.E. Those two old brothers had been having a pretty hot argument a couple of days before, and had ended by agreeing to decide it by a bet, which is the English way of settling everything.F. For some reason or other only one of these had been used and canceled; the other still lay in the vaults of the Bank.
a can of fruit contains 5 cups of fruit.The suggested serving size is cup.How many servings are in a can of fruit?
Oral rehydration salts are used to __________.A.purify air that has been pollutedB.replenish moisture in the environment after natural disasters such as earthquakesC.purify water supplies to help minimize the risk of catching choleraD.help replenish fluids in the body after it suffers fluid loss from diseases such as choleraPlease select the best answer from the choices providedABCD
There are 25 birds and 12 ducks. Compare the number of birds to the total number of animals. Write you answer three ways. Your answer
Write the equation of the line with a slope of -3 that passes through (-5,20)
What archetype does the Sergeant-Major BEST represent?A the tyrantthe tyrantB the mysterious strangerthe mysterious strangerC the best friendthe best friendD the championANWSER GETS BRAINLIEST
What is the full meaning of COPOOL
2 Lots of touristswhales.3 I(just arrive) to see the(never be) much of aconservationist. How about you?4 My friendsSierra Leone for the last six months.6(work) for a charity in5 Volunteers(comb) the coastline everyday this week, picking up plastic bottles and otherrubbish.(use) a sat navyoubefore? I don't know how this works.7 She(always love) travelling alone.
A segment that is both an altitude and a median of a triangle is a?
The cross country team ran 1.772 hours yesterday and 1.49 hours today. Each member of the team ran 3.5 miles every hour. How many miles did each member run yesterday?
Heads of Elysia cf. marginata sea slugs sometimes pull themselves free from their bodies. The heads just keep crawling around. Within a few hours, some heads start nibbling algae again. Within about 20 days, heads from young slugs can have regrown those missing body parts, including heart and all.Sayaka Mitoh and Yoichi Yusa are ecologists at Nara Women's University in Japan. They described the regrowth of cells and ultimately the sea slugs bodies March 8 in Current Biology.Mitoh first noticed the sea slugs' extreme regeneration by chance. It showed up in some Elysia slugs in his lab. "We were really surprised to see the head crawling," Yusa says.The head of a sea slug can take several hours to rip itself loose from its body. That's so slow that Mitoh and Yusa don't think the move helps slugs escape predators.Instead, a detachable body could give the sea slug a drastic, but effective, way of fighting parasites. Mitoh monitored 82 E. atroviridis slugs infested with copepods. Three of the slugs ditched their bodies along with a lot of those copepods. Two of the three managed to grow a new body. An additional 39 of the parasitized slugs let parts of their bodies slowly fall away. In contrast, 64 more sea slugs that had been collected at the same time had no pests. And none of them threw away its body. That supports the idea that parasites could drive slug heads to detach and crawl away from their bodies.What might help Elysia slug heads regrow a whole body is stealing, Yusa suggests. These animals can take the green sunlight-trapping energy factories called chloroplasts from algae. Very young slugs don't have any chloroplasts. "They need to pierce the cell walls of sea algae and sip the contents," he says. Once ingested, the chloroplasts remain alive inside the slugs for weeks to months.Biologists have debated what stealing chloroplasts does for the slugsUsing what you know about cellular differentiation and the description of sea slug regeneration explain what is happening at a cellular level:?A;Specialized cells undergo cellular differentiation to create stem cells that will grow and replace the old cellsB:Stem cells undergo cellular differentiation to create specialized cells to replace missing body parts like cardiac (heart) cells.C:Cellular differentiation is not necessary in order for the sea slugs to regrow its missing body parts.D:None of the above.
Calculate the number of atoms in 24.83g calcium phosphate.
Ammonia gas decomposes when heated.152NH(g) N(g) + 3H(g)In an experiment, a sample of 500 cm of ammonia was heated and 20% decomposed.The total volume of gas present at the end of the experiment, in cm, wasD A 20000= 100 cmB400C600D 1000