10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work.

Answers

Answer 1

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

Related Questions

what did the horse say when it fell down

Answers

he said bang bang bang bang

Which number is closest to V65 A. 8 B. 9 C. 32 D.64

Answers

The number closest to 65 is 8. (61 square is 8)

Final answer:

The symbol 'V' before a number usually implies the square root in mathematics. Therefore, the square root of 65 (V65) is approximately 8.06. Hence, the closest number to V65 is 8.

Explanation:

The symbol 'V' before a number often denotes the square root in mathematics. Thus, 'V65' implies the square root of 65. Calculating this gives an approximate value of 8.06. When you compare this value to the options provided: A. 8, B. 9, C. 32 and D. 64, you can see that the closest number to V65 (the square root of 65) is A. 8.

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Ms. Coleman's class has already collected 403 cans for a food drive, but the class wants to collect a total of at least 1,000 cans. If each of the 28 students in the class brings an equal number of cans, how many more cans should each student bring for the class to have collected at least 1,000 cans?

Answers

22 cans each student needs to bring. 22x28=616+403=1019

22 cans each student needs to bring. 22x28=616+403=1019 that is the answer

Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will Belinda receive from her insurance company when she files her claim?
Summary
Comprehensive Deductible: $375
Collision Deductible: $550
Premium of $625 for 4 months

Answers

Answer:

Belinda will get $25 from her insurance company when she files her claim.

Step-by-step explanation:

Comprehensive insurance covers your car from damage from fire, theft or falling objects like trees etc.

To get the claim, the company will check the worth of the GPS system in the market minus the deductible amount.

So, the cost of GPS system was $400. And comprehensive deductible is $375.

So, Belinda will receive [tex]400-375=25[/tex] dollars

The answer is: Belinda will get $25 from her insurance company when she files her claim.

Aaron bought a large basket of 59 apples for $22.95. He also bought a small basket of 18 apples for 8.95. Which amount is the closest estimate of the cost per apple?

Answers

22.95+8.95 = 31.90
31.90/77 = .41
So, it'd be .40 if you were rounding.

Which stem of equation should Omar use?

Answers

According to the logarithmic property of the base change, the corrected answer is option four or the last.
The logarithmic property of base change given that
loga (b) = logc (b) / logc (a)
Therefore, the same property applies to this problem and the correct expression for this question is:
y1 = log (x) / log (6)
y2 = log (x + 4) / log2

Gabe went to the amusement pasrk with $40 to spend. His tickets cost $26.50. Write and solve an inequality to show how much he might spend on souvenirs and snacks.

Answers

x= cost of souvenirs & snacks

$26.50 + x ≤ $40
subtract 26.50 from both sides

x ≤ $13.50

ANSWER:
Equation: $26.50 + x ≤ $40; He could spend a maximum of $13.50 on souvenirs and snacks.

Hope this helps! :)

how to find the angle measures of a inscribed polygon?

Answers

When the quadrilateral is inscribed in a circle, opposite angles add to 180°.
26y +2x = 180
21y +3x = 180

There are many ways to solve these equations. Shown here is a graphical solution that tells us
x = 25
y = 5

Then the angles are ...
∠A = 26y° = 130°
∠B = 3x° = 75°
∠C = 2x° = 50°
∠D = 21y° = 105°

Penny has 3 friends over after school, and they are hungry for an after school snack! They find 2/3 of a pie left over from dessert lastnight. If they split up the leftover pie evenly between the 4 girls, how much pie does each girls get to eat?

Answers

2/3 ÷ 4 =

Formula = Keep, change, flip

Keep 2/3
Change ÷ to ×
Flip 4 to 1/4

That equals 2/3 × 1/4 = 1/6

Answer = 1/6

Hope this helped☺☺

What is the next number in the sequence 3,7,15,31,63,

Answers

Answer:

The next number is 127

Step-by-step explanation:

The sequence is the previous number times 2 plus one.

how do i solve this ? :')

Answers

I think you are supposed to make the fraction equivalent so you know that 27/9 is 3, so you would do the same thing whatever number is supossed to be under 17 needs to equal to 2 when divided by 9. So you should probably know that 3 * 9 is 18 so x needs to be a number that when subtracted by 5 gives you 18. So x=23. Hope this is right and it helps!

plz answer my multiple choice question

Answers

3 = 3 and one solution

Point x starts at -4 on a number line. Pint x then goes through a series of moves; +3 units, -2 units, +6 units and -5 units. What is the final position of Point x?

Answers

Final answer:

Starting from -4 and applying a series of moves (+3, -2, +6, -5) sequentially on the number line, the final position of Point x is -2.

Explanation:

The question involves finding the final position of Point x after a series of moves on a number line. Starting from -4, we apply the moves in sequence: adding 3, subtracting 2, adding 6, and finally subtracting 5. The operations are as follows:

Start: -4After adding 3: -4 + 3 = -1After subtracting 2: -1 - 2 = -3After adding 6: -3 + 6 = 3After subtracting 5: 3 - 5 = -2

Therefore, the final position of Point x on the number line is -2.

Consider the following system of equations:

2x + 3y = 45
x + y =10

What is the x-value of the solution for this system?

Answers

Y=-x+10
2x+3(-x+10)=45
2x+-3x+30=45
2x+-3x=15
-x=15
X=15

PLEASE HELP ME!! HURRY PLEASE

Answers

4, there is 3 radii OA, OC and OB
2nd choice

5. there is one chord BC
first choice

6. 3 central angles:
AOC, AOB, BOC
first choice

Which of the following statements is false? a. Every chord is a part of a secant b. Every diameterbis a part of secant c. Every chord is a diameter d. Every diameter is a chord

Answers

The wrong statement about a circle is c. Every chord is a diameter

Further explanation

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle

There are terms - terms commonly used in circles:

1. The center point2. Radius3. Arc4. Circumference5. Segment6. Chord7. Annulus8. Diameter9. Disc10. Lens

A diameter is a line that passes through the center of a circle and divides the circle into two equal partsA Secant is a plotline that intersects a circle at two points on a circleA chord is a line that cuts a circle at 2 points located on the arc

Let we see the answer choices :

a. Every chord is a part of a secant

Right, because secant itself is an extension of the chord

b. Every diameter is a part of secant

Right, because the diameter itself also intersects the circle at two points on the circle, just like secant

c. Every chord is a diameter

Incorrect, because the diameter itself must pass through the center point while the chord does not have to

d. Every diameter is a chord

Right, because each diameter intersects a circle at two different points

So the wrong statement is C. Every chord is a diameter

Learn more

circumference

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circle transformations

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the arc length of a segment of a circle

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Keywords: circle, secant, diameter, chord

Every chord is a diameter is false. Option (c) is false.

Further explanation:

Given:

The statements are as follows,

(a). Every chord is a part of a secant

(b). Every diameter is a part of secant

(c). Every chord is a diameter

(d). Every diameter is a chord

Explanation:

Diameter is a distance between the points that passes through the center of the circle.

The distance between the two points on the circle is known as the chord. The longest chord is the diameter of the circle.

Radius is line segment to a point from the center of the circle and the radius is half of the diameter.

Secant is a straight line that intersects two points on the circle.

Every chord is a diameter is false. Option (c) is false.

Statement (a) is true.

Statement (b) is true.

Statement (c) is false.

Statement (d) is true.

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: false, chord, part, secant, radius, diameter, Every chord is a part of a secant, Every diameter is a part of secant, Every chord is a diameter, Every diameter is a chord.

4 ounces of cheese makes one cup of shredded cheese you want 3 cups of shredded cheese how many ounces the must you shred

Answers

Oh I had this question before it’s 3 and a half of a cup and I got it right trust me

Given the facts that:
4 ounces of cheese = 1 cup

We can easily calculate 2 cups of shredded cheese in ounces by doubling each side (or multiplying each side by 2). This means we do:

ヽ 4 ounces x 2 = 8 ounces
ヽ 1 cup x 2 = 2 cups

Now we can say that 8 ounces of shredded cheese is equal to 2 cups.
We're nearly there! All we need to do now is add the first equation we started off with to the one we just solved for.

ヽ 4 ounces = 1 cup
ヽ 8 ounces = 2 cups
～ 4 + 8 = 12 ounces
～ 1 + 2 = 3 cups

Our final answer is that 12 ounces of shredded cheese is equivalent to 3 cups.

Hope this helped! ッ

Thomas had three different types of coins in his pocket, and their total value was $2.72. He had twice as many pennies as quarters and one less dime than the number of pennies. How many quarters did he have?

Answers

Answer: 6 Quarters
12 Pennies
11 Dimes

Written answer: Thomas has 6 Quarter, 12 pennies, and 11 dimes in his pocket.

Show your work: 6•0.25= 1.50$
12•1= 0.12$
11•10= 1.10$

1.50$+0.12$+1.10$= 2.72$

can someone plz help me.

Answers

3. 4 times x of a fence would 4x, and then you would put on the minus 3 for the first length of fence to be 4x-3. For the second length of fence, 5 times x would be 5x, adding on the 6 and you get 5x+6. Add these two equations together and you get the answer of A: (4x-3)+(5x+6).

4. Add both of the number of seeds in the garden, which is x+4x+10. By adding like terms, you get the new equation of 5x+10. Therefore, the total number of seeds that Val plants will be 5x+10.

is the relation a function? Why or why not?

(-3, -2) (-1, 0) (1, 0) (5, -2)

A. no- to domain values exist for range value -2
B- yes- only one range value exists for each domain value
C- yes- to domain values exist for range value -2
D- no- the relation passes the vertical line test

Answers

letter b
because there is no repeating x's

Final answer:

A relation where each domain value is mapped to a single, unique range value is considered a function. The relation in question is indeed a function because each domain value corresponds to only one range value, and its correctness is supported by the distinct pairs of the domain and range. The correct answer is option (B)

Explanation:

To determine whether a given relation is a function, we check if each element of the domain maps to exactly one element of the range. The relation in question is composed of the following ordered pairs: (-3, -2), (-1, 0), (1, 0), (5, -2). The domain (which consists of the first elements of the ordered pairs) includes -3, -1, 1, and 5, and the range (the second elements) includes -2, 0.

A crucial aspect of a function is that each domain value is paired with a unique range value. Here, we see that no domain value is repeated; hence, none of them map to more than one range value. This satisfies the criterion for a function. However, it is not a problem that a range value, like -2, appears more than once in the relation as long as it corresponds to different domain values.

Based on this, the correct answer would be "B. yes- only one range value exists for each domain value" because each domain value is associated with one and only one range value, which is the definition of a function.

In the triangle below,
1) Find the length of BC

2) Find the are area of Δ ABC

Answers

1. Since we have two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:
[tex]BC= \sqrt{AB^2+AC^2-2(AB)(AC)Cos \alpha } [/tex]
[tex]BC= \sqrt{6^2+4^2-2(6)(4)Cos(60)} [/tex]
[tex]BC= \sqrt{36+16-48Cos(60)} [/tex]
[tex]BC= \sqrt{52-48Cos(60)} [/tex]
[tex]BC=2 \sqrt{7} [/tex]

We can conclude that the length of the side BC is [tex]2 \sqrt{7} [/tex].

2. To find the area of triangle ABC we are going to use Heron's formula: [tex]A= \sqrt{S(S-A)(S-B)(S-C)} [/tex]
where
[tex]A[/tex] is the area of the triangle
[tex]S[/tex] is the semi-perimeter of the triangle

But first, we are going to find the semi-perimeter of our triangle using the formula: [tex]S= \frac{A+B+C}{2} [/tex]
We can infer for our triangle and from our previous calculation that [tex]A=2 \sqrt{7} [/tex], [tex]B=4[/tex], and [tex]C=6[/tex]. Lets replace those values to find the semi-perimeter of our triangle:
[tex]S= \frac{A+B+C}{2} [/tex]
[tex]S= \frac{2 \sqrt{7+4+6} }{2} [/tex]
[tex]S=7.65[/tex]

Finally, we can use Heron's formula to find the area of our triangle:
[tex]A= \sqrt{7.65(7.65-2 \sqrt{7})(7.65-4)(7.65-6)}[/tex]
[tex]A=10.42[/tex]

We can conclude that the area of our triangle is 10.42 square units.

A1. Since we have two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:

We can conclude that the length of the side BC is .

2. To find the area of triangle ABC we are going to use Heron's formula:

where

is the area of the triangle

is the semi-perimeter of the triangle

But first, we are going to find the semi-perimeter of our triangle using the formula:

We can infer for our triangle and from our previous calculation that , , and . Lets replace those values to find the semi-perimeter of our triangle:

Suppose 540 people visit the zoo.Predict how many people will choose the monkey exhibit as their favorite

Answers

Are there any answer choices?

Answer:

162

Step-by-step explanation:

There are 21 out of 70 people that like the monkey exhibit. So you divide that and get 0.3 or 3/10. Then you have to multiply that by 540. This gets you to 162 which is the answer to your problem.

A circle with center (-2,6) passes through the point (-2,10). Which of the following is the equation of the circle?

Answers

Because the center is at (-2,6) its either a or c ( because of the x+2 and x-6)

If we plug x = -2 and y = 10 into equation a and c well see which one is correct
Plug in equation a:_
((-2+2)^2 + (10-6)^2 = 0 + 16 = 16
so its equation a Answer

First option is correct. The equation of the is [tex](x-2)^{2} +(y-6)^{2} =16[/tex].

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called "center".

General equation for circle

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

where,

(h, k) is the coordinate of the center of a circle

(x, y) are the coordinate points

r is the radius of circle.

According to the question

we have

the center of the circle, (h, k) = (-2, 6)

and the circle passes through the point (-2, 10)

since, the circle passes through point (-2, 10), the radius(r) of the circle is the distance between the points (-2, 6) and (-2, 10)

⇒ [tex]r =\sqrt{(-2+2)^{2 }+ (6-10)^{2} }[/tex]

⇒ r = [tex]\sqrt{0^{2}+(-4)^{2} }[/tex]

⇒[tex]r = \sqrt{16}[/tex]

⇒[tex]r = 4unit[/tex]

therefore,

the equation of the circle is given by

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

[tex](x-(-2))^{2} +(y-6)^{2} =16[/tex]

[tex](x+2)^{2} +(y-6)^{2} =16[/tex] ..... (1)

[tex]x^{2} +4+4x+y^{2} +12y+36 = 16[/tex]

[tex]x^{2} +y^{2} +4x+12y+24=0[/tex]

Hence, equation 1 represent the equation of circle i.e. [tex](x+2)^{2} + (y-6)^{2} =16[/tex]

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i need 14 and 15 please!

Answers

14. (n-5)*4+7
15. No, this would not be neccesary because if I were to distribute 1/2 to both 4 and 6, I know that I would get half of those numbers which would give me 2x+3. I also know that if I distribute 1/3 to both 9 and 24, I would get 1/3 of each number which would be 3 and 8.

How do you solve for x??

Answers

My apologies. the image loaded with an error that made it appear as there was an additional parallel line. after reviewing the image online I can see that the 2 given angles are in fact alternate interior angles. By theorem these are congruent meaning they have equal measures. be abuse of this we can set them equal and solve for x.
130=x+135 and subtracting 135 from both sides gives us
130-135=x-0
x=-5

best
shayla

Make an equation 130=x+135 then subtract 135 from 130 which would leave x alone on the right 130-135=-5 so x=-5

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and
F(4, -1)?
1.equilateral triangle
2.isosceles triangle
3.right triangle
4.acute scalene triangle
5.obtuse scalene triangle

Answers

D=(7,3)=(xd,yd)→xd=7, yd=3
E=(8,1)=(xe,ye)→xe=8, ye=1
F=(4,-1)=(xf,yf)→xf=4, yf=-1

DE=sqrt[(xe-xd)^2+(ye-yd)^2]
DE=sqrt[(8-7)^2+(1-3)^2]
DE=sqrt[(1)^2+(-2)^2]
DE=sqrt[1+4]
DE=sqrt[5]
DE=2.236067978
DE=2.236

EF=sqrt[(xf-xe)^2+(yf-ye)^2]
EF=sqrt[(4-8)^2+(-1-1)^2]
EF=sqrt[(-4)^2+(-2)^2]
EF=sqrt[16+4]
EF=sqrt[20]
EF=sqrt[4*5]
EF=sqrt[4]*sqrt[5]
EF=2*sqrt[5]
EF=2*(2.236067978)
EF=4.472135956
EF=4.472

DF=sqrt[(xf-xd)^2+(yf-yd)^2]
DF=sqrt[(4-7)^2+(-1-3)^2]
DF=sqrt[(-3)^2+(-4)^2]
DF=sqrt[9+16]
DF=sqrt[25]
DF=5

The three sides are differents:
DE=2.236 different to EF=4.472 different to DF=5
Then the triangle scalene

Longest side is DF=5

DF^2=(5)^2→DF^2=25

DE^2=(sqrt[5])^2→DE^2=5
EF^2=(2*sqrt[5])^2=(2)^2*(sqrt[5])^2=4*5→EF^2=20

Square of the longest side: DF^2=25
Sum of the square of the other sides: DE^2+EF^2=5+20=25

The square of the longest side=25=Sum of the squares of the other sides, then the triangle is a right triangle

The triangle is right triangle and it is a scalene triangle

Answer: Option 3. right triangle

Variable x is 7 more than variable y. Variable x is also 1 less than y. Which of the following pairs of equations best models the relationship between x and y? (4 points)

x = 1y
x = y + 7

x = y + 7
x = y – 1

y = x + 8
y = x – 1

y = 7x
y = x + 1

Answers

we know that
1) Variable x is 7 more than variable y
so
x=y+7

2) Variable x is also 1 less than y.
x=y-1

therefore

the answer is
the option
x = y + 7
x = y – 1

Answer:

1. x is 7 more than y

meaning

x=y+7

2. x is 1 less than y

meaning

x=y-1

the answer:

x = y + 7

x = y – 1

Number 9. I was guessing helppp plssss

Answers

The answer should be 2 ft per hop. 6 yards equals 18 feet. 18 divided by 9 is 2. Therefore, it is 2 feet or 2/3 of a yard

What is the slope of the line? 6x + 2y= -14

Answers

The slope of the line stated is -3.

First, you'd subtract 6x from both sides "2y = -6x - 14". Then you'd divide each side by 2 "y = -3x -7". Now the line is in the proper form (Y = MX + B), M is the slope. Thus making -3 the slope.

I hope this helps!

Steve bought a total of 6 packages of pens, and each package contained either 3 or 7 pens. If exactly 4 of the packages Steve bought a package that contained 7 pens, how many pens did Steve buy?

A) 21
B) 28
C) 30
D) 34
E) 42

Answers

The answer is D, 34

If 4 of the packages contain 7 pens, that means there, 28 pens are total.

Because they contained either 3 or 7 pens, I would assume the remaining 2 packages of 6 total that Steve had bought would have to have 3 pens.

3*2 is equal to 6

28 + 6 = 34

The answer is D.
Calculate how many pens he bought for only the bags with 7 pens each. You get 28.
Next, since you know there are 2 bags left that each must have 3 pens only, calculate how many pens he bought in only those 2 bags. You get 6.
Add the 2 values. 28+6 is 34, so your answer is choice D.

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