HELP QUICK PLS!!
A zoo feeds it’s monkeys a mixture of fruits and biscuits. The diagram shows the ratio of fruit mass to biscuit mass.

The table below shows the mass, in grams, of fruit and biscuits that the zoo fed two of the monkeys.
Based on the ratio, complete the missing value in the tables.

HELP QUICK PLS!! A Zoo Feeds Its Monkeys A Mixture Of Fruits And Biscuits. The Diagram Shows The Ratio

Answers

Answer 1

The mass of the biscuit and fruit are 20 and 64 grams respectively.

How to use ratio to find the missing values in the tables?

A ratio indicates how many times one number contains another.

Therefore, the ratio of fruits and biscuit the zoo fed the monkeys is 7:5.

let's find the total number of the items.

Hence, using the table and ratio,

number of fruits = 7 / 12 × x

number of fruits = 28

Therefore,

28 = 7x / 12

cross multiply

12 × 28 = 7x

336 = 7x

divide both sides by 7

336 / 7 = 7x / 7

x = 48

Hence,

mass of biscuit = 5 / 12 × 48

mass of biscuit = 20

The second missing value of the table,

mass of biscuit = 5 / 12 × x

45 = 5x / 12

5x = 504

x = 504 / 5

x = 108

Hence,

mass of fruit = 7 / 12 × 108

mass of fruit = 756 / 12

mass of fruit = 63

Therefore, the mass of the biscuit and fruit are 20 and 64 grams respectively.

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Answer 2

Answer:yes

Step-by-step explanation:fact


Related Questions

What is the five number summary for this data set 9,14,15,18,20,22,29,36,36,42,45,51

Answers

Answer:

Min = 0

Max = 51

M = 25.5

Q1 = 16.5

Q3 = 39

Hope this helps! <3

A line passes through point (6, -6) and has a slope of -4/3

Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
-

Answers

Answer:

4x + 3y = 6

A = 4

B = 3

C = 6

Step-by-step explanation:

A line have a function:

y = ax + b

Because the line has a slope of - 4/3

=> a = - 4/3

=> y = - 4/3 x + b

Because the line go through point (6; - 6)

=> - 6 = - 4/3 .6 + b

=> b - 8 = - 6

=> b = 2

=> The function of the line

y = - 4/3 x + 6

=> 3y = - 4x + 6

=> 4x + 3y = 6

can you solve for x −68<8x−4<−36

Answers

Answer:

- 8 < x < - 4

Step-by-step explanation:

- 68 < 8x - 4 < - 36 ( add 4 to each interval )

- 64 < 8x < - 32 ( divide each interval by 8 )

- 8 < x < - 4

Show full work please

Answers

The temperature in degrees celcius in which bacteria cannot survive is greater than 3.66

Subject of formula

This is a way of representing a variable with another

Given the inequality below;

q/5 C + 32 ≥ 120

Substitute C = 120oF

q/5(120) + 32  ≥ 120

24q + 32 ≥ 120

24q  ≥ 120 - 32

24q  ≥ 88

q ≥ 88/24

q ≥ 3.66

Hence the temperature in degrees celcius in which bacteria cannot survive is greater than 3.66

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two cruise ships leave port at the same time. ship a sails north at a speed of 60 mph while ship b sails east at a speed of 50 mph.

Answers

Answer: y= 60x, y=50x

Step-by-step explanation:

Please Provide the whole question

True or False? If a grapefruit cost
$0.32 in 1984 and $0.64 in 2006,
then it must have cost $0.48 in
1995.

Answers

Answer:

False

Step-by-step explanation:

Without a graph, figure, or any other context the cost of grapefruit in 1995 in not related to the other years by any other facts or figures.

Simplify
(2m^3n^2)^5

Answers

Answer:

[tex] \large \bf \implies{32 {m}^{15} {n}^{10} }[/tex]

Step-by-step explanation:

[tex]\bf \longrightarrow{(2m^{3}n^{2})^{5} } \\ \\ \bf \longrightarrow {2}^{5} \times ( {m}^{3})^{5} \times ( {n}^{2})^{5} \\ \\ \bf \longrightarrow32( {m}^{3})^{5}( {n}^{2})^{5} \\ \\ \bf \longrightarrow32 {m}^{15} {n}^{10} [/tex]

Note : We have used the two exponent rules:

[tex](1) \: \: \large \bf \boxed{ \bf \green{(ab)^{n} = {a}^{n} \times {b}^{n} }}[/tex]

[tex](2) \: \: \large \bf \boxed{ \bf \green{(a^{n})^{m} = {a}^{nm} }}[/tex]

scores on the act college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. wayne’s standardized score on the act was −0.6. what was wayne’s actual act score?

Answers

Wayne's actual act score is 18

A z-score tells you where the score lies on a normal distribution curve.

A standard deviation is a measure of how dispersed the data is in relation to the mean.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Given,

The mean = 21

Standard deviation =5

z-score = -0.6

We know z-score = (x-mean)/ Standard deviation

Substitute the values

-0.6 = [tex]\frac{x-21}{5}[/tex]

x-21 = -0.6 ×5

x-21 = -3

x=-3+21

x=18

Hence, the Wayne's actual act score is 18

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What are the zeros of the polynomial function?

Select all correct zeros of each function.

Answers

The zeroes of the polynomial functions are listed below:

Roots: 2, 3, - 1. Roots: 3, - 2 (multiplicity 2), 1 Roots: 0 (multiplicity 3), 2, - 3.

How to determine the zeros of a polynomial

Polynomials are algebraic constructions whose form is summarized by the following sum:

p(x) = ∑ cₙ · xⁿ, for n ∈ {0, 1, ..., m}

An alternative form to describe polynomials is using products of binomials of the form (x - r), where r is a root (zero) of the polynomial. The root of the polynomial is a value such that the result of the expression is equal to zero.

Then, we proceed to find the zeros of each polynomial function:

1) f(x) = 2 · x · (3 - x) · (x + 1). Roots: 2, 3, - 1.

2) f(x) = 2 · (x - 3) · (x + 2)² · (x - 1). Roots: 3, - 2 (multiplicity 2), 1

3) f(x) = x³ · (x - 2) · (x + 3). Roots: 0 (multiplicity 3), 2, - 3.

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When sampling from the population of interest, it is a good idea to have a representative sample. True or false?.

Answers

Answer: True, common sense dictates this.

Answer: true

Step-by-step explanation:

A car salesman earns 1/36 in commission. If he sold a car for $43,000, how much did he earn in commission?

Answers

Answer:

1194 ....................... is the answer

Write an algebraic expression that models the situation.
Jenny had $105, but she is spending $13 per week.

Answers

The algebraic expression that models the situation when Jenny had $105, but she is spending $13 per week is 105 - 13w.

How to calculate the value?

Let the number of weeks be represented by x

Therefore, since Jenny had $105, but she is spending $13 per week, the appropriate expression will be:

= 105 - (13 × w)

= 105 - 13w

The expression is 105 - 13w.

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Can you help me solve for x in these 3

Answers

B. Since that is supplementary we know that’s 180. 180-51=129. Now let’s do 14x-25=129. Add 25 both sides now u get 14x=154. Divide by 14 on both sides. X=11

C. We know they are vertical angels so they are equal to each other. 10x-26=7x+10. Subtract 7x and add 26. That would give u 3x=36.
X=12

D. We know it’s supplementary which equals 180. 2x+70+101-5x=180. Combine like terms. -3x+171=180. Subtract 171 on both sides. Now it’s -3x=9. Divide by -3 and u get -3.
X=-3

Hope this helps :)

To maintain a healthy weight a dog requires 30 calories of food per pound of body weight. if a certain dog weighs 38.45 ibs how many calories would they require

Answers

Step-by-step explanation:

30 cal for 1 lb

x cal for 38.45 lbs

x = 38.45lbs × 30 cals

x = 1153.5 cals

Please help I need to get this one question right so I can pass my lesson

Answers

Answer:

I think the answer is

Statement A

Step-by-step explanation:

Determine the x- and y-coordinates of a point through which the resultant of the parallel forces passes.

Answers

The resultant of the parallel force passes, x=2.8888 in and y=-5.4444 in

Taking moment about 'y'

∈Mx=RXx

x=260/90

x=2.8888 in

Taking moment about 'x'

∈My=RXy

y= -490/90

y= -5.4444 in

What is the example of parallel forces?

When two forces of equal strength act in the same direction within the same plane, with the counterforce in the centre, this is known as a parallel force system.

A see-saw is an illustration of this. The fulcrum in the middle provides the counterforce to keep the seesaw in a neutral position while the children apply the two forces at the ends. The significant vertical forces on an aeroplane while it is in flight is another illustration (see image at right).

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cly cloudy
Watch help video
Solve for x, rounding to the nearest hundredth.
110 • 10^4x = 55

Answers

[tex]110\cdot 10^{4x}=55\implies 10^{4x}=\cfrac{55}{110}\implies 10^{4x}=\cfrac{1}{2}\implies 10^{4x}=2^{-1} \\\\\\ \log\left( 10^{4x} \right)=\log\left( 2^{-1} \right)\implies 4x\log_{10}\left( 10 \right)=-1\log_{10}(2)\implies 4x(1)=-\log(2) \\\\\\ 4x=-\log(2)\implies x=-\cfrac{\log(2)}{4}\implies {\LARGE \begin{array}{llll} x\approx -0.08 \end{array}}[/tex]

I dont get it pls helpppp ihave ten min left it a test HELP

Answers

Answer:

d. p+1

a negative 1 point something decimal plus one negative decimal.

gl sh awty

charlotte denning earns both $13/hour and $26 for every sale she completes. during the most recent week, she worked 47 hours and made a total of 71 sales.

Answers

Answer: nice for her

Step-by-step explanation:

Which expression is equivalent to this
expression?
√2³
1
2 12

Answers

Answer:

calculators are available

Step-by-step explanation:

Help anyone with both

Answers

The word phrases given can be written in algebraic expressions as:

1. B. 4g

2. B. 6/(x + y).

How to Write an Algebraic Expression?

"Product" means multiplication.

"The product of g and 4" can be written as an algebraic expression as: 4 × g = 4g.

"Quotient" means the result you get by dividing a number by another number.

"Sum" means addition, or what you get by adding two quantities together.

Therefore, "the sum of x and y" is written in algebraic expression as: x + y.

Thus, the quotient of 6 and (x + y) would be written in algebraic expression as: 6/(x + y).

Therefore, the word phrases given can be written in algebraic expressions as:

1. B. 4g

2. B. 6/(x + y).

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HURRYY!! BEST ANSWER GETS BRAINLIEST!!

15. The dimensions of a cylindrical can are shown below.
1
10 in.
3 in.
What is the volume of the can, in terms of ?
A. 60 π cubic inches
TL
B. 90 cubic inches
C. 30 π cubic inches
D. 18 π cubic inches

Answers

Answer:

volume of cylinder is πr²h so whatever your radius is then square it multiply by height. don't multiply by pi as it gives it to you in the answer

identify the meanings of the varibles in the point-slope form of a line

Answers

The variables in the point-slope form of a line (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.

Given that the variables in the point-slope form of a line.

The general form of the equation of a line is y - y₁ = m (x-x₁) where  m is the slope of line, y₁ and x₁ is any point on the line

It is an equation of degree one x and y represent the coordinate of the point on the line represented in the coordinate plane

m = slope of the line

The general equation of a line is y = mx + c where

m = slope of line

(x₁ , y₁) = it is the given point on the line as data points are represented as (x₁,y₁) , (x₂,y₂) , (x₃,y₃) and so on

(x ,y) = it is any point line where x is any point on the x-axis and y is any point on y-axis

Hence, the variables in the point-slope form of a line where (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.

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Question 5 pls help Pre algebra explain your answer

Answers

Answer: -6.62 x 10^-8

Step-by-step explanation:

What is the break-even quantity for the following situation? fc = $1,400 per week vc = $2 per unit rev = $6 per unit group of answer choices 100 600 1,400 350 250

Answers

According to the question, to calculate break-even quantity with the given data. And the data is in dollars which is as follows:

Fixed cost (f(c)) = [tex]$1400[/tex] per week;

Variable cost (v(c)) = [tex]$2[/tex] per unit

Revenue = [tex]$6[/tex] per unit

Let us consider the break-even quantity to be ‘a’.

As per break-even point formula: Total costs = Total Revenue

And Total costs = Fixed cost + variable cost ;

      Total Revenue = (price per unit)(quantity sold)

Using above formulas, the above expression can be re-written as:

Fixed cost + variable cost = (price per unit)(quantity sold)

[tex]($1400)+($2a) = ($6a)[/tex]

[tex]4a = 1400[/tex]

[tex]a = 350[/tex]

Therefore, the break-even quantity is [tex]350[/tex] units.

What is the break-even quantity?

Break-even quantity in the firm is the incremental value which is used to sell in order to cover the cost of the marketing program or other companies investments. And in this, the total cost is equal to the total revenue.

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a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta. assume k is the constant of proportionality. which of the following can be used to represent the illumination at point p? i

Answers

a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta , I = k cos x / r² can be used to find the illumination at point p.

Light must be at the height of 7.07 for maximum illumination.

I = k cos x / r²

r² = h² + 10²

cos θ = h / [tex]\sqrt{h^{2} +10^{2} }[/tex]

then

I =  [tex]k \frac{h}{(h^{2} + 100)^{2/3}}[/tex]

on differentiating, we get,

[tex]\frac{dI}{dh} = k\frac{h^{2} + 100^{3/2 - 3h^{2}(h^{2} + 100 )^{1/2} } }{(h^{2} +100)^{3} }[/tex]

[tex]= k\frac{100 - 2h^{2} }{(h^{2} + 100)^{5/2} } \\\frac{dI}{dh} = 0\\ It gives that \\h = \sqrt{50} = 7.07\\on differentiating again,\\\frac{d^{2} I}{dh^{2} } = k \frac{(6h^{3} - 900h )}{(h^{2} + 100)^{7/2} }[/tex]

for h = 7.07,

[tex]\frac{dI^{2} }{dh^{2} } = -10267.6[/tex]

So , we can conclude that the light must be at the height of 7.07 for maximum illumination.

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You start at (1, 3). You move up 2 units and left 6 units. Where do you end?

Answers

Answer:

(-5,5)

Step-by-step explanation:

HELPPP 25 pointssss MATH

Answers

Answer: [tex]\frac{3}{4s}[/tex]

Step-by-step explanation:

3s^2 / 4(s)^3=

3s^2 / 4s^3=

3/4 * s^2/s^3=

3/4 * s^(2-3)=

3/4 * s^(-1)=

3/4 * 1/s=

3*1 / 4s=3/(4s)

Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2,000 in sales and 12% of the balance of her sales. Last week she earned $231.20. What was the total value of the uniforms she sold?

Answers

The  total value of the uniform Aileen sold is x= 2260 on monthly Commission sells.

Given,

Let us assume the all little League uniform = x

Aileen first commission 10% of 2000$ in sales.

Aileen Second Commission 12% of (x-2000)$

Total Commission Aileen Earner = 10% ×2000 + 12% × (x-2000)

                                       231.2   = 0.1× 2000 + 0.12× (x-2000)

                                        231.2   = 200 + (0.12x - 240 )

                                        231.2   = 200 +  0.12x - 240

   After Transformation, we get

                                        0.12x = 231.2 - 200 +240

                                        0.12x = 271.2

                                               x = 271.2/.12

                                               x = 2260

Aileen Sell the total value of Lopez Sporting Goods Uniform is 2260.

So the final Answer is  x = 2260$.

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what does the remainder theorem conclude given that f(x)x 5 has a remainder of 17?enter your answer by filling in the boxes.

Answers

The remainder theorem conclude given that F(-5)=17

When, x= -5

x+5=0

So, F(-5) = 17

What is Remainder Theorem explain?

According to the remainder theorem, the result of dividing p(x) by (x - a) is p. (a). According to the factor theorem, (x - a) can only be a factor of p(x) if f(a) = 0. It is used to locate the rest. A linear polynomial's status as a factor of the input polynomial is determined using this method.

The remainder theorem is used to calculate the remainder when a polynomial is split by a linear polynomial. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem.

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