Tom, Lily, and Shelby, competed as a team in a scavenger hunt. They were given a list of items to find around their neighborhood. Together the three of them found every item on the list. Tom found 1/3 of the items, and Lily found 4/9 of the items. Which area model represents the fraction of the item on the list that Shelby found?

Answers

Answer 1

The f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

What is a fraction?

A fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Total items in the list is x and Shelby found f(x) item.

Tom found 1/3 of the items, and

Lily found 4/9 of the items.

Then,

[tex]\rm f(x) = x - (\dfrac{1}{3}+ \dfrac{4}{9})\\\\\rm f(x) = x - (\dfrac{3+4}{9})\\\\\rm f(x) = x - \dfrac{7}{9}\\\\\\\rm f(x) = \dfrac{9x-7}{9}\\\\[/tex]

Thus, the f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

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Related Questions

You spin the spinner once.
9
6
8
7
What is P(odd)?
Write your answer as a decimal.

Answers

Answer: 0.5

Step-by-step explanation:

    The odd numbers in the spinner are 9 and 7. The non-odd numbers are 8 and 6.

     We will put the wanted outcomes over the total possible outcomes.

2 / 4

1 / 2

1 / 2 = 0.5

             P(odd) is 0.5.

PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL

Answers

your answer would be 147°

solution:

since ∠x and ∠y are supplementary angles. they must add up to 180°

so ∠+∠y=180°

     ∠x=180°-∠y

     = 180°- 33°

=147

i need help with 7th grade math please need help ASAP + brainleist

Answers

Step-by-step explanation:

the area of garden is 970.08

Answer:

970. 08 [tex]ft^2[/tex]

Step-by-step explanation:

The rose garden is made up of 2 shapes: rectangle and a half-circle.

1. We start by finding the area of the rectangle...

[tex]31*24[/tex]We get 744 [tex]ft^2[/tex]

2. Then find the area of the half-circle

The area of a circle is [tex]\pi r^2[/tex]We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]The question only gives us the diameter (24), to find the radius we divide by 2 to get 12Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]Compute: 226.08 [tex]ft^2[/tex]

3. Add the areas together

[tex]744 + 266.08[/tex]Finally, we have 970.08 [tex]ft^2[/tex]

please help will mark Brainliest!!​

Answers

the answer is the last one

Tge length of the front page is 30 centimeters and the width is 20 centimeters the side length picture is 7 centimeters

Answers

Answer:

A model of a shopping centre is drawn to scale where 1 cm on the model represent 4 m on the ground. Music shop Thabo's Sports Ware Fati's Clothing shop Grocery store PARKING Coffee shop Toilets Restaurant Shoe store Physiotherapy Health and Fitness center 1.1 Which shop is on the right of the physiotherapy? (2) 1.2 Describe the position of the Coffee Shop in relation to the Toilets. (2)

Can someone please solve this for me using that method thank you I give brainliest

Answers

First factor x^2+13x+36 using the AC method. Then if any individual factor on the left side of the equation is equal to zero the whole expression will equal zero. After that set x+4 equal to zero and solve for x and do the same for 9. Lastly your answer is all the values of (x+4)(x+9)=0 true.

Help please lol lol :))))

Answers

Answer:

is this required answer

Step-by-step explanation:

AB=3x-2

=3*8-2

=22

Answer:

[tex]\huge\boxed{\textbf{AB = 22}}[/tex]

Step-by-step explanation:

Given that:

AB = 3x - 2

Put x = 8

AB = 3(8) - 2

AB = 24 - 2

AB = 22

[tex]\rule[225]{225}{2}[/tex]

Calculate.
35 C12
Note: nCr=r(n=r)!
n!

Answers

[tex]\\ \rm\Rrightarrow {}^{35}C_{12}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!(35-12)!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!23!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1.0333148e+40}{12383157381152686026522624000000}[/tex]

[tex]\\ \rm\Rrightarrow 834451800[/tex]

Answer:

834,451,800

Step-by-step explanation:

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Binomial Coefficient

[tex]\large \text{$ \rm ^{n}C_r=\dfrac{n!}{(n-r)!r!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{(35-12)!12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}23!12!} $}[/tex][tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{23!12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35 \times 34 \times 33 \times ... \times 25 \times 24}{12!} $}[/tex]

[tex]\large \text{$ \rm \implies ^{35}C_{12}=834451800 $}[/tex]

Which function is increasing on the interval ? (-∞,∞)
A. i(x)=x^2+8x+1
B. G(x)=-4(2^X)
C. F(x)=-3x+7
D. H(x)=2^x-1

Answers


the answer is D
explanation

TIMED, PLEASE ANSWER QUICKLY
Given the figure above, which of the following statements is not necessarily true?
A. ZG ZD
B. ABCD HEFG
C. DAGH
D. DCGF

Answers

Answer:

A.

Step-by-step explanation:

Mainly because i dont see ZG ZD on the figure.

Answer:

The first answer is Correct answer ZG ZD

I'm sorry if you can't see the questions fully. But I answered the first and last one.​

Answers

Answer:
85 female students do not play games.
85/279 which is 30% were female students who do not play games.
Step-by-step explanation:
Total survey/interview students are 279. 134 are female students and 145 are male students.

Which sign makes the following statement true? 3.9 _____ 9/10

Answers

> this is the sign to make it correct

Answer:

>.

Step-by-step explanation:

3.9 is  greater than 9/10 ( = 0.9)

Mrs. Peterson needs a piece of rug 28 dm wide and 38 dm long to put on the floor
Of her living room. What is the area of the rug that she needs?

Answers

Answer:

1,064dm^2

Step-by-step explanation:

The formula for Area

—> A = lw


Plug our units into the formula

A = 38(28)

A= 1064dm^2

solve for BC without working out the size of angle A

Answers

Answer:

BC = 6 units

Given following:

AC = 4 unitstan(A) = 3/2

Solve for BC:

Formula:

[tex]\rightarrow \sf tan(A) =\dfrac{opposite}{adjacent}[/tex]

insert values and make them proportional

[tex]\rightarrow \sf tan(A) =\dfrac{BC}{AC} = \dfrac{3}{2} = \dfrac{6}{4}[/tex]

So, BC is 6 units.

Answer:

1)  BC = 6

2)  B = 33.7°  (nearest tenth)

3)  [tex]\sf AB=2\sqrt{13}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Question 1

Given:

Angle = ASide opposite angle = BCSide adjacent angle = AC = 4

Substituting the values into the tan ratio:

[tex]\implies \sf \tan A=\dfrac{BC}{AC}=\dfrac{BC}{4}[/tex]


Given:

[tex]\sf \tan A=\dfrac{3}{2}[/tex]

Therefore:

[tex]\implies \tan \sf A = \tan \sf A[/tex]

[tex]\implies \sf \dfrac{BC}{4}=\dfrac{3}{2}[/tex]

[tex]\implies \sf BC=\dfrac{4 \cdot 3}{2}=6[/tex]

Question 2

Given:

Angle = BSide opposite angle = AC = 4Side adjacent angle = BC = 6

Substituting the values into the tan ratio and solving for B:

[tex]\implies \sf \tan B=\dfrac{AC}{BC}[/tex]

[tex]\implies \sf \tan B=\dfrac{4}{6}[/tex]

[tex]\implies \sf B=\tan ^{-1}\left(\dfrac{4}{6}\right)[/tex]

[tex]\implies \sf B=33.69006753...^{\circ}[/tex]

[tex]\implies \sf B=33.7^{\circ}\:(nearest\:tenth)[/tex]

Question 3

Pythagoras’ Theorem

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = AC = 4b = BC = 6c = AB

Substituting the values into the formula and solving for AB:

[tex]\implies \sf AC^2+BC^2=AB^2[/tex]

[tex]\implies \sf 4^2+6^2=AB^2[/tex]

[tex]\implies \sf 16+36=AB^2[/tex]

[tex]\implies \sf AB^2=52[/tex]

[tex]\implies \sf AB=\sqrt{52}[/tex]

[tex]\implies \sf AB=2\sqrt{13}[/tex]

Gasoline cost $0.60 a gallon if a car makes 25 miles to the gallon what is will gasoline for an 800 mile trip cost

Answers

Answer:

$19.29

Step-by-step explanation:

800 ÷ 25 = 3232 x 0,60 = $19.20

there you have it

34% of the 6th graders and 50% of the 7th graders want to go to the water slides. What percentage of the 8th graders want to go to the water slides?

Answers

The percentage of the 8th graders to want to go to the water slides will be 70.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The percentage of the 8th graders want to go to the water slides is found from;

[tex]\% (8 ^{th} grade)= 0.46-(0.5 \times 34 \%+0.3 \times 50\%_)\\\\ \% (8 ^{th} grade)=0.46-(0.17+0.15)\\\\ \% (8 ^{th} grade)=0.14\\\\ \% (8 ^{th} grade)= \frac{0.14}{0.20} \\\\ \% (8 ^{th} grade)=70\%[/tex]

Hence, the percentage of the 8th graders to want to go to the water slides will be 70.

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please help me do my mathematics assignment experts​

Answers

Step-by-step explanation:

try this option, note: 1) task 'd' is solved only; 2) the answer is marked with green colour.

how do you solve x2 – 4 = 5 by graphing the related function

Answers

Answer:

  see attached

Step-by-step explanation:

The related function we like to graph is the one that has the solutions as its zeros.

__

Subtract 5 from both sides.

  x² -9 = 0

This is now in the form ...

  f(x) = 0

The related function is then ...

  f(x) = x² -9

and its zeros are the solutions to the original equation. The zeros (x-intercepts) of f(x) are x = -3 and x = 3.

__

Additional comment

The second attachment shows a graph of the given equation. Essentially, its graph is two points on the number line: x = -3 and x = 3.

What is the equation of the that contains the point (3,-2) and has a slope of 5?

Answers

Answer:

y = 5x-17

Step-by-step explanation:

point slope form would be

y- -2   =  5(x-3)        or  re-arrange to:    y = 5x -17

what is a polygonomial

Answers

Answer:

See below

Step-by-step explanation:

Polynomials are sums of terms in the form of k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x²+2x-5 is a polynomial.

number 21 please and thank you

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

sin =opposite/hypotenuse

sinQ=5/6

38. Evaluate the expression
52 - (3²+4)

Answers

Do parentheses first according to PEMDAS.
3 squared is 9 and add 4 to get 13
Do 52 minus 13 to get 39

The product of a number and 7 less than the number is 260. Find the numbers.

Answers

Answer: 20,-13

Step-by-step explanation:

We can rewrite the problem as an equation. This equation is x(x-7)=260 (x being the mystery number). We can simply this into x^2 -7x=260. We can then rewrite this as x^2 -7x -260=0. We need to find the roots of this quadratic, which are -13 and 20. You can find this by factoring the quadratic.

x2 + 4x + 7 is a Monomial

Answers

The given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given a polynomial:

x² + 4x + 7

As we know, the monomial has only one term.

The binomial has two terms.

The trinomial has three terms.

As we can see in the given polynomial there are three terms which is x², 4x, and 7.

Thus, the given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

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seth claims that the equation h(x) = 3coz (pi/4(x - 2)) + 3 will model the behavior of a rocking chair just as well as g(x) = 3sin (pi/4x)+3. Use a graphic utility to determine if Seth was correct

A. Yes

B. No

Answers

Answer:

yes

Step-by-step explanation:

I just took the assignment and got a 100%

Each of these labelled bags contains two apples.



One bag contains two green apples, another two red apples and the third one green and one red apple.

All three bags are mislabelled. You may look at only one apple from any one of the bags.

Which bag should you select from to be sure you can determine the content of all three bags?

Answers

Step-by-step explanation:

I just answered this.

the key is that ALL current labels are wrong. not "could be wrong", but "definitely wrong".

you need to pick an apple from the originally "red/green" labeled bag.

since that label is wrong, it must be one of the pure color bags.

so, that bag gets the label for the color that we picked.

now we look at the other 2 bags. they are both wrongly labeled, but there are only 2 options : the second color (which we did not use to label the first bag) and "red/green".

the bag with the color label we just assigned to our first bag must therefore get the second color label (if it were "red/green", it would mean that the third bag was actually correctly labeled, which was not the case), and the bag currently with the second color label is the actual "red/green" bag.

make x the subject: y=x+p/x-p


step-by-step explanation please​

Answers

Answer:

x = p + yp / y - 1

Step-by-step explanation:

y = x+p / x-p

y(x-p) = x + p

y(x-p) -x = p

yx - yp - x = p

yx - x = p + yp

x(y - 1) = p + yp

x = p + yp / y - 1

What is the value of x?

Answers

Answer:

a) 20

Step-by-step explanation:

90 - 46 = 44

44 - 4 = 40

40/2 = 20

Please answer, Thank you. Image below.
I need to find the missing angle, the letter represents the missing angle.

Answers

Answer:

88°

Step-by-step explanation:

The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:

46° + 46° + e = 180°

Solving this gets e = 88°.

- In the 1940s, the U.S. Department of Commerce reported a new way to test the tensile
strength, in pounds per square inch, of concrete. Several samples of concrete specimens
were used to estimate the mean tensile strength of 430 pounds per square inch with a
margin of error of 10 pounds per square inch. After the study was published, another
group proposes to run the same test on concrete specimens but with samples including
many more concrete specimens in each sample. (2 points)
Which of these statements is most likely to be true about the second study?
A. The estimated mean will be greater than 440 pounds per square inch.
B. The margin of error for the second study will likely be around 10 pounds per square inch.
C. The margin of error for the second study will likely be greater than 10 pounds per square inch.
D. The margin of error for the second study will likely be less than 10 pounds per square inch.

Answers

Using the Central Limit Theorem, it is found that the statement that is likely to be true about the second study is given by:

D. The margin of error for the second study will likely be less than 10 pounds per square inch.

What does the Central Limit Theorem states?

It states that the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

That is, higher sample sizes leads to lower amounts of error, and since the second study has a higher sample size, it should have lower error, hence option D is correct.

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