The table shows the distance, y, a cheetah can travel in feet in x seconds. Speed of a Cheetah Time, x (seconds) Distance, y (feet) 5 470 10 940 15 1,410 20 1,880 25 2,350 Based on the information in the table, which equation can be used to model the relationship between x and y? A. y = 5x B. y = x + 5 C. y = x + 470 D. y = 94x

Answers

Answer 1

Answer:D y=94x

Step-by-step explanation:

First dive y and x

Then you multiply the next x and the number that you got.

ALSO I GOT IT RIGHT

Answer 2

D. y = 94x. will be the equation that can be used to model the relationship between x and y.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, a table is attached below.

Since The data in the table is showing the proportionality feature.

the property of having suitable proportions in terms of size, number, degree, harshness, etc. If a defensive action against an unfair attack results in destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Thus,

The ratio of distance and time for the cheetah = 470/5 or 940/10 or 1410/15

Since the time is denoted by "x" (in seconds) and distance is denoted by "y".

So,

y/x  = 470/5

y = 94x

therefore, the equation that can be used to model the relationship between x and y will be  D. y = 94x.

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The Table Shows The Distance, Y, A Cheetah Can Travel In Feet In X Seconds. Speed Of A Cheetah Time,

Related Questions


-5 – 3x > 2(10 + 2x) + 3
Solve inequality

Answers

Answer: x < -4

ervrdbtyunbyjthdrggvghbdxfgchvj

Answer:

x>-4

Step-by-step explanation:

-5-3x>2(10+2x) +3

-5-3x>20+4x+3

-5-3x>4x+23

-5>7x+23

-28>7x

-4>x

Complete the sentence to make it a true statement. 60 is 1/100 of

Answers

Answer:

6000

Step-by-step explanation:

If it is one hundredth than multiply by 100 to get 6000

. A hotel elevator is on the 14th floor. If it goes up 5 floors, then goes down 8 floors, what floor is it now on?

Answers

14+5= 19; 19-8=11. the hotel elevator is now on the 11th floor

Jackson says he has an odd number of models cars. He has 6 cars on one shelf on one shelf and 8 cars on another shelf.is Jackson correct?explain.

Answers

Answer:

No he isnt correct,

Step-by-step explanation:

in total, 6+8 is 14 and 14 is divisible by 2, anything divisible by two is basically even, not odd.

50 points!!!! plz i need help!!! what is 3x^-4(8x+12x) simplified??

Answers

Answer:

60

x^3

Step-by-step explanation:

3x^-4 (8x + 12x)

apply exponential rule:

= 3 * 1/x^4 *(8x + 12x)

add similar elements

= 3 * 20 * (1/x^4) x

multiply fractions:

= 1 * 3 * 20x

        x^4

simplify:

= 60x

    x^4

finally = 60

             x^3

Collect like terms

3x^-4×(8x+12x)

Calculate

=3x^-4 * 20x

Solving Further

=60x^-3

Express with a positive exponent

=60 * 1/x^3

Solution

[tex] \frac{60}{ x {}^{3} } [/tex]

Emily completed 44% of the book that she is reading. If the book has 150 pages, how many pages has she read?​

Answers

Answer:

66 pages

Step-by-step explanation:

0.44 x 150 number of pages = 66 pages

Answer:

66 pages

Step-by-step explanation:

44%of 150 =44 ×150 :100 =6600 :100 =66 pages has read

plzzzzzzzzz helpppp meeeee ​

Answers

you’re right, it is 1 :)

Answer:

it will be 1 not -15 or -1 because thats in the left

25) Norachai had some candy to give to his
three children. He first took five pieces for
himself and then evenly divided the rest
among his children. Each child received
five pieces. With how many pieces did he
start?

Answers

Answer:

30

Step-by-step explanation:

He took 5 pieces.

His children took 5 * 5 pieces = 25

The total is 5 + 25 = 30.

Joni sells kitchen aprons online for $32.50 each. How many aprons must she sell next month if she wants to earn at least $1,000?

Answers

Answer:

she must sell 31 aprons

The number of aprons Joni must she sell next month if she wants to earn at least $1,000 is 31.

In order to determine the number of aprons that Joni should sell in order to make at least $1000 next month, we would dived the total amount Joni hopes to make by the unit cost of an apron.

Number of aprons to sell = Amount Joni hopes to earn / unit cost of an apron.

$1000 / $32.50 = 30.77

Rounding off to the nearest whole number, the number of aprons that Joni should sell is 31.

A similar question was answered here: https://brainly.com/question/24462459

If a cube has a volume of 216 cubic inches, what is the length of one side?

Answers

Answer:

find the cube root of 216 to get the length of one side as you get the volume of a cube by length x length x length

Step-by-step explanation:

the the cube root of 216 is 6

so the length of one side is 6 inches

Volume of cube = length* length* length
Length = cubic root of 216
= 6
Length= 6

Find cos A and B. Write each answer as a fraction

Answers

Answer:

cosA = 5/13

cosB = 12/13

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 10/26

cosB = 24/26

a triangle has side lengths g, h, and k. The relationship among the side lengths of this triangle is shown
The angle opposite side h = 45°.
The angle opposite side , h, = 45°.

The angle opposite side k = 90°.
The angle opposite side , k, = 90°.

The triangle is a right triangle.
The triangle is a right triangle.

The triangle is not a right triangle.

Answers

Hello it’s me I’ve been wondering if after all these years

If you can buy 2 quarts of ice cream for $3, how much ice cream do you get per dollar? 2/3 of a quart of ice cream O 1 quart of ice cream 0 1 and a half quarts of ice cream 1 and 1/3 quarts of ice cream​

Answers

Answer:

C

Step-by-step explanation:

3 divided by 2 = 1 and 1/2

What is the probability of the spinner stopping on an even number?

Answers

Answer:

D because thee are 5 even numbers

The probability of the spinner stopping on an even number will be equal to 5/10.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The total number on the spinner is 10

The total even number on the spinner is 5.

The probability of the spinner stopping on an even number = 5/10

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When converting measurements in the metric system, you can move the decimal point to the left or right, select all that apply?

Answers

Answer:

Ayo boys it a, c, and d

Step-by-step explanation:

Answer: a,b,c

Step-by-step explanation:

For all the problems in this assignment you must enter your answers as a fraction or a product of fractions. For example, if your answer is 4/52 * 3/51 or 1 - 13/52 * 12/51, leave it in that form using * to indicate multiplication and ^ to indicate raising a number to a certain power. (eg. (5/6)^3 means 5/6*5/6*5/6 or (5/6)3.) a. Draw 2 cards with replacement. What is the chance that the first is a heart and the second is a heart

Answers

Answer:

13/52 * 12/51

Step-by-step explanation:

Given the question :

Probability of drawing two hearts from a card deck when picked without replacement :

Number of cards in deck = 52

Number of hearts in card deck = 13

Probability = required outcome / Total possible outcomes

First pick (p1) :

P(picking a heart) = 13 / 52

Second pick ( without replacement) (p2):

P(picking a heart) = 12 / 51

Hence,

P(heart on first and Second pick) :

P1 × P2

= 13/52 * 12/51

Two
pages
that face each other in a book have 343 as the sum of their page
numbers. What is the number of the page that comes first?

Answers

Answer:

171

Step-by-step explanation:

I divided 340 first and got 170 for each page number then I had 3 left over.

I added 1 to 170 and got 171 the I added the left over 2 to the other 170 and got 172.

So the first page number should be 171 :)

I hope this helped you understand :)

The number of page that comes first is 171.

It is given that in a book two pages that face each other have sum of 343 of their page numbers.

We have to find out what will be the number of page that comes first.

What will be the value of x , if x + (x + 2 ) = 18 ?

The value of x will be equal to ; 2x + 2 = 18 or 2x = 16 or x = 16 ÷ 2 or x = 8.

As per the question ,

In a book sum of two pages that face each other = 343

Let's assume that the page which comes first will be have page number x.

So,

x + (x + 1) = 343

2x + 1 = 343

2x = 342

x = 342 ÷ 2

x = 171

The other page will have number :

= x + 1

= 171 + 1

= 172

Thus , the number of page that comes first is 171.

                                                         

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John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?

Answers

Answer:

2h30m

Step-by-step explanation:

Assuming they each do half, Julie would take 1 hour and John would take 1 hour 30 minutes, and combined would therefore be 2h30m.

Your favorite radio station is having a contest! The host poses a question to the listeners. If the caller answers correctly, he or she wins the prize money. If the caller answers incorrectly, $30 is added to the prize money and the next caller is eligible to win! The contest starts with a $100 prize for the first caller.



Part A: The first 4 callers have all missed the question. How much money is the 5th caller eligible to win? Show your work or explain your thinking.



Part B: You are the 12th caller to call in, and you win the prize! How much money will you win?

Answers

Answer:

A:150

B: 360 if all before are wrong

Answer:

A 150

Step-by-step explanation:

B- 360 if all before are wrong

Is 3(x+x+y) equivalent to 3x+3(x+y)

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Step 1: Distribute 1st equation

3x + 3x + 3y

Step 2: Combine like terms

6x + 3y

Step 3: Distribute 2nd equation

3x + 3x + 3y

Step 4: Combine like terms

6x + 3y

We see here that 6x + 3y = 6x + 3y. Therefore, they are equivalent.

Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix. Original Matrix New Row-Equivalent Matrix 3 −1 −4 −5 3 8 3 −1 −4 4 0 −4 Add 3 times Row 2 to Row 1. Add 3 times Row 1 to Row 2. Multiply Row 2 by three. Multiply Row 1 by three. Interchange Row 1 and Row 2.

Answers

Answer:

Add 3 times row 1 to row 2  to obtain the new matrix

Step-by-step explanation:

Attached below is the solution

To obtain the new matrix we will add 3 times Row 1 to row 2  

[tex]\left[\begin{array}{ccc}3&-1&-4\\-5&3&8\\\end{array}\right][/tex]   original matrix

[tex]\left[\begin{array}{ccc}3&-1&-4\\4&0&-4\\\end{array}\right][/tex]     New Matrix

What is the solution set for (x+3) = 5?

Answers

Answer:

x=2

Step-by-step explanation:

subtract 3 from both sides

5-3=2

x=2

Answer:

x=2

Step-by-step explanation:

Move all terms not containing  

x

to the right side of the equation.

A number is multiplied by 5. If 1 is added to
the product, you get 6. What is the number?

Answers

Answer:

1

Step-by-step explanation:

The number is

1 x 5 = 5

5 + 1 = 6

Answer:

The number is 1

Step-by-step explanation:

5x + 1 = 6

6 minus 1 = 5

1 minus 1 = 0

5x = 5

x = 1  

hopefully this helps you :)

pls mark me brainlest ;)

On average, 8 potatoes cost $1.50 at
Peter's Produce Market. Fernando needs to buy
22 potatoes.
a. How much will it cost Fernando to buy 22 potatoes? How does this compare
to your estimate?
b. How many potatoes could Fernando buy with $7?
c. What is the unit cost per potato?

Answers

Answer:a) it will cost him $4.13 rounded

B)about 36

C)$ 0.19 (rounded) per potato

The Peters will cost to buy 22 potatoes is$4.13 , Fernando can buy 37 potatoes for $7 and the unit cost per potato is  $0.1875.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that

8 potatoes cost $1.50

8 potatoes ⇔ $1.50

1 potato ⇔ $(1.50/8)

a) →

22 potatoes will cost 22 ×  $(1.50/8) = $4.13

b) →

8 potatoes ⇔ $1.50

$1 ⇔ 5.33 photos

By multiply 7

$7 ⇔ 37.33

Si Fernando can buy 37 potatoes.

c) →

1 potato ⇔ $(1.50/8)

1 potato ⇔ $0.1875

Hence "The Peters will cost to buy 22 potatoes is $4.13, Fernando can buy 37 potatoes for $7 and the unit cost per potato is  $0.1875".

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A waitress sold ribeye steak dinners and grilled salmon​ dinners, totaling ​$ on a particular day. Another day she sold ribeye steak dinners and grilled salmon​ dinners, totaling ​$. How much did each type of dinner​ cost?

Answers

Answer:

ribeye steak: $24.37grilled salmon: $9.30

Step-by-step explanation:

If we let r and g represent the costs of a ribeye steak dinner and grilled salmon dinner, respectively, the sales figures give rise to two equations.

  17r +15g = 553.74

  22r +5g = 582.65

If we multiply the second equation by 3 and subtract the first, we have ...

  3(22r +5g) -(17r +15g) = 3(582.65) -(553.74)

  49r = 1194.21

  r = 1194.21/49 ≈ 24.37

  g = (553.74 -17r)/15 ≈ 9.30

The steak dinner costs $24.37; the salmon dinner costs $9.30.

_____

Check

17(24.37) +15(9.30) = 553.79 . . . not 553.74

22(24.37) +5(9.30) = 582.64 . . . not 582.65

There is no exact solution to this problem.

Answer:

R=cost of rib-eye dinner; S=cost of salmon dinner

24R+10S=$580.66

10S=$580.66-24R

20S=$1161.32-48R Use this to substitute for 20S below

17R+20S=$590.81 . Substitute for 20S.

17R+($1161.32-48R)=$590.81

-31R=-$570.51

R=$18.40

ANSWER 1: Rib-eye dinner costs $18.40.

Step-by-step explanation:

24R+10S=$580.66

24($18.40)+10S=$580.66

$441.60+10S=$580.66 441.69

10S=$139.06

S=$13.91

ANSWER 2: A salmon dinner costs $13.91.

CHECK:

17R+20S=$590.81

17($18.40)+20($13.91)=$590.81

Put these numbers in order from least to greatest.
-60/64, -3, 65/80, 6/32

Answers

1.-3
2.-60/64
3.6/32
4.65/80
Hope this helps :)

Betsy caught three fish. The weights of the fish were 3 lb 2 oz, 2 lb 11 oz, and 2 lb 8 oz. What was the total weight of the three fish?

Answers

Answer:

8 lbs 5 oz

Step-by-step explanation:

When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.

There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.

you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.

The octane rating of gasoline is the percentage of isooctane in the fuel. For example, 89-octane gasoline contains 89% of isooctane. How many liters of 88-octane gasoline should be mixed with 100 liters of 95-octane gasoline to get a mixture which is 93-octane gasoline ?

Answers

Answer:

40 liters of 88-octane gasoline should be mixed

Step-by-step explanation:

Here in this question, we are interested in calculating the number of liters of 88-octane gasoline that should be mixed with 100 liters of 95-octane gasoline to get a mixture of 93-octane gasoline.

Since we do not know the number of liters, we can represent it by x

This means that the total number of liters of the 93-octane gasoline we are looking at producing is (100 + x) liters.

Thus, if we multiply the number of liters of each gasoline type by their isooctane content and add together, we will obtain the product;

Hence;

88(x) + 100(95) = 93(100 + x)

88x + 9500 = 9300 + 93x

93x -88x = 9500-9300

5x = 200

x = 200/50

x = 40 liters

Does anyone know how to do number 18????

Answers

Answer: angle ITU = 145 degrees

===============================================

Explanation:

Angle STU is the largest angle composed of the smaller angles STI and ITU.

In other words, the two smaller angles add up to the larger one.

(angle STI) + (angle ITU) = angle STU

( 20 ) + ( 12x+1 ) = 13x + 9

20+12x+1 = 13x+9

12x+21 = 13x+9

21-9 = 13x-12x

12 = x

x = 12

Using this x value, we find that,

angle ITU = 12x+1 = 12(12)+1 = 145 degrees

----------

As a side note,

angle STU = 13x+9 = 13(12)+9 = 165 degrees

This is confirmed with

(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU

Simplify the expression: 4(2 + 6j)

Answers

Answer:

[tex]8+24j[/tex]

Step-by-step explanation:

[tex]4(2+6j)[/tex]

Apply the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

Thus,

[tex]4* \:2+4* \:6j[/tex]

[tex]8+24j[/tex]

Answer:

24j + 8

Step-by-step explanation:

multiply 2 and 6j with 4

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