Find the x- and y-
intercepts of the graph of
3
the linear equation
4
+x=
11/21.
x-intercept:
y-intercept:
F41

Find The X- And Y-intercepts Of The Graph Of3the Linear Equation4+x=11/21.x-intercept:y-intercept:F41

Answers

Answer 1

Answer:

(-3/4, 0) and (0, 3/2)

Step-by-step explanation:

The [tex]x[/tex]-intercept is when [tex]y=0[/tex].

[tex]\frac{3}{4}+x=0 \implies x=-3/4[/tex]

So, the [tex]x[/tex] intercept has coordinates [tex](-3/4, 0)[/tex].

The [tex]y[/tex] intercept is when [tex]x=0[/tex].

[tex]\frac{3}{4}=\frac{1}{2}y \implies y=3/2[/tex].

So, the [tex]y[/tex] intercept has coordinates [tex](0, 3/2)[/tex]


Related Questions

Each of my children has at least two
brothers and one sister. Find the least
number of children I might have.

Answers

Answer:

4 kids.

Step-by-step explanation:

There could be 2 boys and 2 girls. Each of the 2 boys has at least one sister, and each of the 2 girls has at least two brothers.

Hope this helps!

5. 3 boys and 2 girls

Of the teacups in lexi’s tea shop, 1/6 are teal and another 2/3 are red. What fraction of the teacups are either real or red?

Answers

The fraction of the teacups that are either teal or red is 5/6.

What are fractions?A number that represents a portion of a whole is used to denote a fraction in mathematics. Any number, an amount, or an object can be a whole; a fraction is a portion or segment taken from that whole. The number is represented mathematically as a quotient, where the numerator and denominator are split. The p/q is the form used to represent fractions.

Given:

Fraction of teal teacups = 1/6

Fraction of red teacups = 2/3

Fraction of the teacups are either teal or red = Fraction of teal teacups + Fraction of red teacups

= 1/6 + 2/3

= (1+4)/6

= 5/6

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Find the sum of the first 888 terms in the following geometric series.

2+8+32+...2+8+32+...

Answers

Answer:

Step-by-step explanation:

Nice question!!! It should be ####. and that's the answer that you want

(02.05 MC)
A group of seniors decide to spend their spring break away from home, attending at least one major event. The following table summarizes their
preferences.
Stay in state
214
Travel out of state 391
O 41.93%
What percent want to attend a festival, given that they want to stay in state?
031.72%
ous Question
Attend a concert Attend a festival
46.5%
75.92%
186
59

Answers

When considering their desire to go outside of their state, 6.94% of people say they would like to attend a festival.

A percentage is what?

A percentage of 100 is represented as a number or ratio known as a percentage.

We've got

Take in a performance Attend a concert and a festival

Remain in state 214 and 186

Travel outside of state 391 and 59

The amount of groups planning to visit a state while attending a concert=214

The amount of groups planning to leave the state to attend a concert=391

The amount of groups planning to visit a state while attending a festival=186

The amount of groups planning to leave the state to attend a festival=59

The proportion of festival-goers that desire to travel outside of their state:

= Total number of groups from all four conditions/ Number of groups wishing to attend an event while remaining outside the state.

= 59 / ( 214 + 391 + 186 + 59 ) x 100

= 59 / 850 x 100

= 6.94%

Therefore, When considering their desire to go outside of their state, 6.94% of people say they would like to attend a festival.

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this is a little difficult for me

Answers

Answer:

Step-by-step explanation:

the answer and steps are down below to check it out have a wonderful wonderful day and  apologize if the answer is wrong

it is 98 not sure thooo

Find the volume of the triangular prism,

Answers

Answer:

280 cm^3

Step-by-step explanation:

formula

1/2 * b * h * l

1/2 * 5 * 8 * 14

1/2 * 560

wikipedia

PLS ANSWER PART (f) ASAP

Answers

There are a total of 54 men.

Let's take x new men who joined the club, then according to the question (22-x) new women who joined the club.

[(98 × (5 ÷ 5 + 9)) + x ÷ [(98 × (9 ÷ 5 + 9)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11

[(98 × (5 ÷ 14)) + x ÷ [(98 × (9 ÷ 14)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11

[35 + x] ÷ [63 + (22 - x)] = 9 ÷ 11

11 × (35 + x) = 9 × (85 - x)

385 + 11x =  765 - 9x

11x + 9x = 765 - 385

20x = 380

x = 19.

Therefore, 19 new members have joined the club.

So, Step 10: 10 + (98 × (5 ÷ 5 + 9)) = 19 + 35 = 54.

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Answer:

19

Step-by-step explanation:

Originally there are 98 members

Ratio of men to women = M:W = M/W = 5/9

The ratio of men to total number of members = M/(M + W) and this should be the same as 5/(5+9) = 5/14

Since 5/14 th of the total membership of 98 members is the number of men,

Actual number of men

= 98 x (5/14)

= 35

After 22 members join the club, the total club membership is 98 + 22 = 120

The new ration M/W = 9/11

Actual number of men members

= 120 x 9/(9+11)

= 120 x 9/20

= 6 x 9

= 54

Increase in the membership of men = 54 - 35 = 19

simplify the square root of 217

Answers

Answer: 14.73091

Step-by-step explanation:

The square root of 217, (or root 217), is the number which when multiplied by itself gives the product as 217. Therefore, the square root of 217 = √217 = 14.730919862656235.

A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74.

Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form.

Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer.

Answer quick please I appreciate it.

Answers

The order of the numbers from least to greatest will be 97%, 1.74, 2 4/5, and 18/5.

I rewrite the numbers in equivalent forms, this was illustrated in decimals to make it easier.

How to illustrate the information?

From the information, the data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74. This will be:

18/5 = 3.6

2 4/5 = 2.8

97% = 0.97

1.74

The arrangement will be 97%, 1.74, 2 4/5, and 18/5.

Therefore, it should be noted that rewriting then in decimal is important to effectively convey the information better.

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Michelle was fishing in her canoe at point A in the lake depicted above. After trying
to fish there, she decided to paddle due east at a steady speed of 15 miles per hour,
As she paddled, a wind blowing due south at 7 miles per hour caused a change in
her direction. To the nearest tenth of a mile, what is the velocity, represented by
vector AC, of her canoe?
A. 8.0 miles per hour
C. 16.6 miles per hour

B16.34 miles per hour
D15.0 miles per hour

Answers

Answer:

Step-by-step explanation:

What does it mean to cube the number 18?
It means to find the cube root of 18.
It means to raise the number 18 to the exponent 2.
It means to find the square root of 18.
It means to raise the number 18 to the exponent 3.

Answers

Answer:x+y=36

xy=256

x=256/y

256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Two families went to a baseball game. The first family bought 5 pretzels and 4 sodas, which totaled $22. The second family bought 6 pretzels and 6 sodas, which totaled $30. How much did one soda cost?

$2
$3
$4
$5

Answers

Lets say pretzels=x and sada=y
5x+4y=22
6x+6y=30
Multiply the first equation by-3
And the second by 2
-15x-12y=-66
12x+12y=60
Add them together
-3x=-6
X=6/3
X=2

5x+4y=22
Replace the x by 2
We will get
10+4y=22
4y=12
Y=12/4
Y=3$
So the price of soda is 3$

Answer:

3

Step-by-step explanation:

Question:Two families went to a baseball game. The first family bought 5 pretzels and 4 sodas, which totaled $22. The second family bought 6 pretzels and 6 sodas, which totaled $30. How much did one soda cost? 

first family bout 5 PRETZELS  and 4 SODAS and the second family bought 6 PRETZELS and 6 SODAS
So immanently 5 is wrong because that would be too much and not fit the amount that the families spent
4 is also incorrect because the price is not reasonable it’s to high and out of budget for both of the families

3 is the only right answer also 2 is wrong (wrote this in rush)

a heap of rubbish in the shape of a cube is being compacted into a smaller cube. given that the volume decreases at a rate of 3 cubic meters per minute, find the rate of change of an edge, in meters per minute, of the cube when the volume is exactly 64 cubic meters.

Answers

-1/16 meters per minute is the rate of change of an edge.

What is the rate of change?The rate at which one quantity changes in relation to another quantity is known as the rate of change function. Simply put, the rate of change is calculated by dividing the amount of change in one item by the corresponding amount of change in another.

So, the Volume of the cube: V = r³

Where the edge of the cube is represented as r.

Differentiate with respect to t (time) as follows:

[tex]\frac{d V}{d t}=3 r^2 \frac{d r}{d t}[/tex]

dV/dt = -3 : Cubic meters per minute

Also, V = 64 ⇒ r = ∛64 = 4

Now, substitute the values:

-3 = 3(4)² dr/dt-3 = 48 dr/dtdr/dt = -3/48 = -1/16

Therefore, -1/16 meters per minute is the rate of change of an edge.

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Last night, Luis read 75% more pages than Dayja, and Dayja read 75% more pages than Michael. If Dayja read 84 pages, how many pages did Luis, Dayja, and Michael read all together?

Answers

Answer:

252

Step-by-step explanation:

Altogether, Luis, Dayja, and Michael read 279 pages.

How do we get the total number of pages read by each person?

We can get the total number of pages read by each person by building from the number of pages read by Dayja.

Dayja read 84 pages

Luis read 75% more pages than Dayja and this is equal to:

84 + 84 × 75/100

84 + 84 × 0.75

84 + 63

= 147 pages.

Dayja read 75% more pages than Michael.

Believing that Michael read x number of pages.

84 = 175 ÷ 100 × x

8400 = 175x

x = 8400/175

x = 48

So, Michael read 48 pages.

Altogether we will have, 84 + 48 + 147 pages.

= 279 pages.

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(x^2-9/x+4=3-(x-3)/x+4

Answers

Answer:

x = 2.579248

Step-by-step explanation:

x^2 - 9/x + 4 = 3 - (x - 3/x) + 4

a) Multiply both sides by x.

x^3 + 4x - 9/x = 6x + 3

b) Multiply both sides by x.

x^4 + 4x^2 - 9x = 6x^2 + 3x

x^4 + 4x^2 - 9x - (6x^2 + 3x) = 6x^2 + 3x - (6x^2 + 3x)

x^4 - 2x^2 - 12x = 0

x(x^3 - 2x - 12) = 0

x = 0 or x^3 - 2x - 12 = 0

x = 0 or 2.5792479999999998

william and drebra Pierce are celebrating thier 20th anniversery by having a reciptionan a local reciption hall.They have budgeted $3,500 for their recipetion. If the reciption hall charges $70 cleanup plus $33 per person, Find the greatest number of people that they may invite and still stya within their budget

Answers

drebra and William Pierce is hosting a reception at a nearby reception hall to commemorate their 20th anniversary. The number of people are invited in the reception are 104.

Given that,

drebra and William Pierce is hosting a reception at a nearby reception hall to commemorate their 20th anniversary. $3,500 has been set aside for their reception. If the prison's recreation center charges $70 for cleanup and $33 per person.

We have to determine how many guests they can invite while staying inside their budget.

The total budget of the party = $3500

Reception hall charges for clean up =$70

Extra fee per person =$33

Let us assume that the number of people are invited  in the reception are be x.

Given in the question the  be the clean up charge and $33  be fee per person.

We know,

The equation become

⇒ 70 +33x = 3500

33x = 3500-70

33x = 3430

x = 3430/33

x=104

Therefore, The number of people are invited in the reception are 104.

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6x+26x-10=8(4x+10) write a word problem that this equation,or any of its equivalent forms,represents.

Answers

6x+26x-10=8(4x+10) quadratic equation has no solution.

First, Simplify the equation:

6x + 26x + (-10) = 8(4x + 10)

Now, reorder the terms:

(-10) + 6x + 26x = 8(4x + 10)

Combine the like terms:

6x + 26x = 32x

-10 + 32x = 8(4x + 10)

Then, reorder the terms:

-10 + 32x = 8(10 + 4x)

-10 + 32x = (10 × 8 + 4x × 8)

-10 + 32x = (80 + 32x)

Add '-32x' to each side of the equation.

-10 + 32x + -32x = 80 + 32x + -32x

Again, Combine like terms:

32x + -32x = 0

-10 + 0 = 80 + 32x + -32x

-10 = 80 + 32x + -32x

Repetitively, Combine like terms:

32x + -32x = 0

-10 = 80 + 0

-10 = 80

After Solving,

-10 = 80

Thus, there is no further variable to solve.

∴ This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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f(x) = 3 x + 1 and g (x) = 2x - 3. find g (f(x))

Answers

Answer:

6x -- 1

Step-by-step explanation:

To Solve for g(f(x)), bear in mind

f(x) = 3x + 1

g(x) = 2x -- 3

g(f(x)) = 2x -- 3. (Calm down right?)

Let x = f(x).

if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)

g(f(x)) = 2(3x + 1) -- 3

g(f(x)) = 6x + 2 -- 3

g(f(x)) = 6x -- 1

#AllonGod

Answer:

Step-by-step explanation:

To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).  

1. First, identify the x in g(x) and replace it with the function of f(x)

g(x)=2x-3; so g(f(x))= 2(3x+1) -3

2. Simplify the equation by distributing the 2 and combining like terms.

2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with

g(f(x))=6x-1

i’m not sure what the answer is help pls

Answers

Answer:

x = 33

Step-by-step explanation:

( x + 20 ) + ( 4× - 5) = 180 {m||n}

5×+20 - 5 = 180

5×+15 = 180

5× = 165

× = 33

what is it please :)​

Answers

The surface area of the sphere to the nearest square foot is 2463 feet.

What is a sphere?A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is denoted by the letter r, and the given point is its center.

So, the surface area of the sphere:

The formula of the surface area of the sphere: 4πr²Radius = diameter/2 ⇒ 28/2 ⇒ 14

Now, substitute the radius in the formula as follows:

4πr²4π14²2463.00864Rounding off: 2463 feet


Therefore, the surface area of the sphere to the nearest square foot is 2463 feet.

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Question is in the picture

Answers

Answer:

(a)  D = 72.05 dB  (2 d.p.)

(b)  I = 2.51 W/m²  (2 d.p.)

Step-by-step explanation:

Given function:

[tex]\boxed{D(I)=10 \log_{10}(I)+120, \quad I\geq 0}[/tex]

where:

D is the sound intensity level (in dB).I is the sound intensity (in W/m²).Part (a)

Given:

[tex]I=1.6 \times 10^{-5}\; \sf W/m^2[/tex]

Substitute the given value of I into the given function and solve for D:

[tex]\begin{aligned}\implies D(1.6 \times 10^{-5}) & =10 \log_{10}(1.6 \times 10^{-5})+120\\& = 10 \log_{10}(0.000016)+120\\& = 10 (-4.795880017)+120\\& = -47.95880017+120\\&=72.04119983\\&=72.04\; \sf dB\;(2\:d.p.)\end{aligned}[/tex]

Part (b)

Given:

D = 124 dB

Substitute the given value of D into the given function and solve for I:

[tex]\begin{aligned}\implies 124 & =10 \log_{10}(I)+120\\4 & =10 \log_{10}(I)\\10 \log_{10}(I)&=4\\\log_{10}(I)&=0.4\\10^{\log_{10}(I)}&=10^{0.4\\I&=2.511886432\\I&=2.51\; \sf W/m^2\; (2\:d.p.)\end{aligned}[/tex]

it costs $45 to rent a car each day there is also a fee of $12. how much does it cost to rent a car for 5 days including fee

Answers

Answer:

it would cost $285

Step-by-step explanation:

Answer:

285 po answer

Step-by-step explanation:

Pa brainlest po plsss

a rectangular piece of metal is 10 in longer than it is wide. squares with sides 2 in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is 671 in​, what were the original dimensions of the piece of​ metal?

Answers

The length and width of the piece of​ metal are 28 and 18 inches respectively.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

Dimension of the rectangle;

Width(w)

Length,L= 10 + w

volume of the box = length  * width * height

Dimension of the box;

length of box, (x + 10) - 4  = x + 6

width of box,(x - 4)

height of box =  2

The volume of the box is 672 in³;

⇒V=lwh

⇒V=2 (x -4)( x + 6)

⇒672 in³ = 2x² + 4x - 48

⇒2x² + 4x - 720 = 0

⇒x^2  + 2x - 360 = 0

⇒(x +20)(x - 18) = 0

⇒x = 18

⇒x=-20 (value of the dimension will not be negative.

The width of an original piece of metal is;

Width,w=18 inches

length,l= 28 inches

Hence. the length and width of the piece of​ metal are 28 and 18 inches respectively.

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which fraction is equivalt to 2/10

Answers

Answer: 1/5

Step-by-step explanation:

Answer:

[tex]{ \sf{ \frac{1}{5} }} \\ [/tex]

Step-by-step explanation:

[tex]{ \sf{ \frac{2 \div 2}{10 \div 2} \equiv \frac{1}{5} }} \\ [/tex]

PLEASE HELP WITH THIS!

Answers

Answer is y = 1.4x - 4.8

Step by step

We know coordinates (2, -2) and we know “m” slope is 1.4

Your formula is
y - y1 = m (x - x1)

Substitute your y and x and m values

y - -2 = 1.4(x - 2)

distribute

y + 2 = 1.4x - 2.8

Subtract 2 from both sides to isolate y

y + 2 - 2 = 1.4x - 2.8 -2

Combine and your answer is

y = 1.4x - 4.8

Use the number line​ below, where ​RS=9y+3, ST=5y+8, RT=67 a. What is the value of​ y? b. Find RS and ST.

Answers

The value of y on the number line is 4.

How to find the side of a number line?

A number line is a series of numbers placed on a straight line in order from least to greatest.

The number line is RT.

The point S is in between RT.

Therefore,

RT = RS + ST

Hence,

RT = 67

RS = 9y + 3

ST = 5y + 8

Therefore,

RT = RS + ST

67 = 9y + 3 + 5y + 8

67 = 9y + 5y + 11

67 = 14y + 11

subtract 11 from both sides of the equation

67 = 14y + 11

67 - 11 = 14y + 11 - 11

56 = 14y

divide both sides by 14

y = 56 / 14

Therefore,

y = 4

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a car travels 3.5 miles in 5 minutes. work out the average speed in miles per hour

Answers

The average speed of the car which travels 3.5 miles in 5 minutes is 42 miles per hour.

What is the average speed of the car?

Speed is simply referred to as distance traveled per unit time. It is expressed mathematically as;

Speed = Distance ÷ time.

Given the data in the question;

Distance travelled = 3.5 milesTime elapsed = 5 minutesAverage speed = ?

First, we convert unit of the elapsed time from minutes to hours.

Time = 5 min = ( 5/60 )hr = 5/60hr

Now, plug the given values into the speed formula and solve for speed.

Speed = 3.5 ÷ 5/60

Speed = 3.5 × 60/5

Speed = 210/5

Average speed = 42 mph

Therefore, the average speed of the car 42 mph.

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What is the domain of this relation?

Answers

Answer:

{-4, 0, 2, 5}

Step-by-step explanation:

The domain of a relation in a graph is a list of all the x values from the points plotted on it.

Therefore, we can take the coordinates of each point, and list all the x values. (You can't use the same number more than once)

Once you list all the x values, you put them in order from least to greatest, and then you're done! (make sure to use swirly brackets)

Good luck on your math journey! ^-^


Area of a triangle with a vertical height of 1/2 m and base of 1/4 m.

Answers

Answer:

1/16 squared meters

Step-by-step explanation:

The formula to find the area of a triangle is  [tex]\frac{Base * Height}{2}[/tex]

We can form an equation if we substitute the values (base and height).

[tex]\frac{1/2*1/4}{2}[/tex]

1/2 * 1/4 = 1/8

and [tex]\frac{1/8}{2}[/tex] = 1/16

Therefore, the area of a triangle with a vertical height of 1/2 m and a base of 1/4 m is 1/16 meters squared.

Decimal equivalent to three and nine hundredths

Answers

3.09.

There is a 3 in the ones place and a 9 in the hundredths place.

Answer: this bc well it decimals and those are kinda easy

3.09

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The existence of social norms, both formal and informal, is one of the main things that inform............ Otherwise known as a way to encourage social conformuty The LED light source does not get hot. Explain why it is important that the pondweed remains at a constanttemperature? The Progressive Movement was characterized bypolitically activefarmers who were united by a platform to abandon the goldstandard for currency.efforts to better American society through reform, expanded democracy,science, and government regulation., constant civil disobedience on the part of activists determined to secure equalityfor African Americans.the belief that the United States should involve itself more actively in foreignaffairs and become expansionist. From Dec 13th 2014 we have to supply details of menu items that contain the top allergens within the dish they serve - How many allergensare there?(Choose one answer)10 allergensO 12 allergens14 allergens16 allergens 80165. Write a short caption beside each picture to describe the process of covalentbonding.HydrogenOxygenHydrogenWater molecule (HO)Two hydrogen atoms and oneoxygen atom are near solve . -9 2/7 - (-10 3/7) Recommendations Math Language arts Science Elghth grade) Y.2 Find the slope from two points ZAC Find the slope of the line that passes through (5,8) and (3, 3). Simplify your answer and write it as a proper fraction, improper fraction, or inte Submit Work it out a company is evaluating which of two alternatives should be used to produce a product that will sell for $p per unit. the following cost information describes the two alternatives: micro, incorporated, started the year with net fixed assets of $76,300. at the end of the year, there was $98,100 in the same account, and the company's income statement showed depreciation expense of $14,030 for the year. what was the company's net capital spending for the year? what is the answer to -3(x+4)=-6x+18 The video says only a handful of companies make eyeglasses and they mark them up 10 or 20 or more times. Markup pricing is best defined as deriving a price by _______. If (a) (b) = 0 then a = 0 and b = 0 or a = b = 0. This states what law? Answer: The 2012 Mia Electric Car has one of the slowest accelerations of all cars, taking30.0s to accelerate from 0 mi/hr to 60.0 mi/hr. How long does the on ramp to the 1-25 need to be to allow the Mia to accelerate to 80.0 mi/hr before merging onto thehighway south of town? Give your answer in feet. This figure has two intersecting lines and a ray.What is the value of x?Enter your answer in the box.x = The figure contains a pair intersecting lines. One of the four angles formed by the intersecting lines is labeled 146 degrees. The angle opposite and not adjacent to this angle is broken into two smaller angles by a ray that extends from the point where the two lines intersect. One of these smaller angles is labeled 58 degrees, and the other smaller angle is labeled x degrees. A car must be driven a distance of 120 km in 2.5 h. During the first 1.5 h, the average speed was 70 km/h. Calculate the average speed for the remainder of the journey. It takes 107 pounds of seed to completely plant an 11 acre field How many acres can be planted per pound of seed Lynn writes this problem:315 divided by 1700Which expressions represent Lynn's problem?Select each correct answer.Responses3151700315 over 17003151700315 long division enclose 17001700 3151700 31517003151700 long division enclose 315315 1700315 170017003151700 over 315 Which is an abiotic change in an ecosystem? A Plant photosynthesis rates increase. B Fish species populations increase. C Aquatic predator survival rates increase, D Annual rainfall totals for an area increase. 1. If a manufacturer introduces a new product with a successful advertising campaign and an artificially low introductoryprice, which of these will most likely result?A. equilibriumB. rationingC. surplusD. shortagehift the supply curve for orange juice to the left? Match each description from the RIASEC inventory with the correct title.