A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts. Amount of strawberry Amount of banana 1 b. Explain why these amounts are proportional.​

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

Let

[tex]S \to[/tex] Strawberry

[tex]B \to[/tex] Banana

[tex]S : B = 2 : 3[/tex]

Solving (a):

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

[tex]\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}[/tex]

The table is generated as follows:

[tex]S : B = 2 : 3[/tex]

Multiply by 1.5

[tex]S : B = 2 * 1.5 : 3 * 1.5[/tex]

[tex]S : B = 3 : 4.5[/tex]

Multiply by 2

[tex]S : B = 2*2 : 3*2[/tex]

[tex]S : B = 4 : 6[/tex]

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant

Solving (b): Why the amount are proportion

Because the ratio is constant and it remains unchanged all through.


Related Questions

A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Write your answer as a fraction in simplest form.

Answers

Answer:

Probability of the chosen T-shirt not being black will be equal to 9/10

Step-by-step explanation:

In order to solve this we need to understand that probaility is equal to the number of those outcomes that we want divided by the total number of outcomes. In our case the total number of outcomes is 20 (2 + 7 + 11) which is the total number of T-shirts, and the number of outcomes that are favorable to us is equal to 18 (outcomes without a black T-shirt). Therefor probability of the chosen T-shirt not being black will be equal to...

18/20 = 9/10

William used 15 cm of tape to wrap 3 presents. Find the length of tape to wrap for 1 present?

Answers

3 presents = 15cm of tape

1 present = 15 divided by 3 = 5cm of tape

William used 5cm of tape to wrap 1 present.

Answer:

The length of tape to wrap = 5 cm

Step-by-step explanation:

Let the length of tape used to wrap 1 present be = x

Tape length            Number of presents

   15 cm                            3

      x                                 1

     [tex]\frac{15}{x} = \frac{3}{1} \\\\x \times 3 = 1 \times 15\\\\x = \frac{15}{3} = 5 \ cm[/tex]

17
Select the correct answer from each drop-down menu.
Consider this system of equations:
2x+ıy=3
(equation A)
fr-y=6
(equation B)
The expressions that give the value of y are
The solution for the given system is
and

Answers

Answer:

The expressions that give the value of y are A - 3B and (1/3)A - B

The solution is (27/13, -60/13)

Step-by-step explanation:

We can see both equation A and equation B.

Equation A: 2x + (1/4)y = 3

Equation B: (2/3)x - y = 6

To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:

(13/4)y = -15

y = -60/13

you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)

Put y = -60/13 in equation A to get x:

2x + (1/4)(-60/13) = 3

2x = 3 + 15/13

2x = 54/13

x = 27/13

The solution is (27/13, -60/13)

What is the value of y?

Answers

QUESTION:- What is the value of y?

ANSWER:-

SUM OF ALL INTERIOR ANGLE = 180

[tex]y + y + 72 = 180 \\ 2y + 72 = 180 \\ 2y = 180 - 72 \\ 2y = 108 \\ y = \frac{108}{2} \\ y = \frac{ \cancel{108}^{ \: \: \: \tiny{54}} }{ \cancel{2}} \\ y = 54 \degree[/tex]

the sum of triangle is 180 :

[tex]y + y + 72 = 180 \\ 2y + 72 = 180 \\ 2y = 180 - 75 \\ 2y = 108 \\ y = \frac{108}{2} \\ y = 54[/tex]

Weiling took part in a Mathematics quiz which consist of 60 questions. For every correct answer, 3 marks would be awarded. For every wrong answer, 2 marks would be deducted. Weiling answered all the questions and scored a totał of 140 marks for the quiz. How many questions did she answer correctiy?

Answers

Answer:

Right answer = 52

Wrong answers = 8

Step-by-step explanation:

Every correct answer = + 3

Every wrong answer = - 2

Number of correct answers = x

Number of wrong answers = y

x + y = 60 - - - (1)

3x - 2y = 140 - - - (2)

From (1) :

x = 60 - y

Put x = 60 - y into (2)

3(60 - y) - 2y = 140

180 - 3y - 2y = 140

180 - 5y = 140

-5y = 140 - 180

-5y = - 40

y = 8

x = 60 - y

x = 60 - 8

x = 52

Right answer = 52

Wrong answers = 8

Pes
Refer to the figure below to answer the following questions.
2 ft
4 ft
Find the surface area. Round to the nearest tenth.
75.4 ft2
50.3ft2
62.8 ft2
0 25.1 ft2

Answers

Answer:

75.4

Step-by-step explanation:

75.4area of cylinder is 2pie r h plus 2 pie * 2^2

Describe the error Sadie made, and explain how to find the correct answer.

Answers

Answer:

She could've factored further

Step-by-step explanation:

a^5 can be written as a^4*a

so the answer should've been 3a^3b*sqrt(6ab)

BRAINLIEST PLEASEEEEEEEEEEE

Answer:

She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).

[tex] 3a^3b\sqrt{6ab} [/tex]

Step-by-step explanation:

She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).

Correct answer:

[tex] 3a^3b\sqrt{6ab} [/tex]

is dilated to become LaTeX: g\left(x\right)=\frac{1}{3}\cdot4^x. What is the specific effect on LaTeX: f\left(x\right)

Answers

Answer:

f(x) is shrinked

Step-by-step explanation:

Given

[tex]f(x) = 4^x[/tex]

[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]

Required

The effect of dilation on f(x)

From the given parameters, we have:

[tex]f(x) = 4^x[/tex]

[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]

On a general term;

[tex]g(x) = k * f(x)[/tex]

So by comparison:

[tex]k = \frac{1}{3}[/tex]

When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink

verify : x×y=y×x,if x=0,y =-8/3,z=1​
plz give the ans

Answers

Answer:

Verify x+y+z)=(x+y)+z for the following values of x,y,z

(i)x=3/4,y=5/6,z=-7/8(

ii)x=2/; 3,y=-5/6,z=-7/9(

iii)x=3/5,y=-6/9,z=2/10(

iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24

RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24

LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18

= 12/18 - 29/18 = -17/18

RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =

-17/18

LHS = RHS....

Hence verified..

Step-by-step explanation:

hope it helps u no notebook

.???

write twelve thousand twelve hundred and twelve in numbers ​

Answers

Answer:

12, 120,012

Step-by-step explanation:

i need help because summer school is bad

Answers

Answer:

B or the second one

Step-by-step explanation:

There are the same numbers just positive and negative.

Hope it helps c:

Multiply and reduce to lowest form and convert into a mixed fraction:

a) 15 x 3/5
b) 4 x 1/3
c) 5/2 x 6​

Answers

Answer:

a) 9

b)

[tex]1 \frac{1}{3} [/tex]

c) 15

Step-by-step explanation:

The first step is to cancel out the fraction's denominator if possible.

a)

[tex]15 \times \frac{3}{5} [/tex]

We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is

[tex]3 \times \frac{3}{1} [/tex]

Since 3/1 is 3, we can now simplify the values:

[tex]3 \times 3 = 9[/tex]

b)

[tex]4 \times \frac{1}{3} [/tex]

4 is indivisible by three and gives a non-whole value. This is not what we need here.

Instead we should do the division rule and find the remainder.

In this case, 4 divided by 3 gives 1 with a remainder of 1.

[tex]4 \times \frac{1}{3} = \frac{4}{3} [/tex]

After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:

[tex] \frac{4}{3} = 1r1[/tex]

The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:

[tex] \frac{4}{3} = 1 + \frac{1}{3} = 1 \frac{1}{3} [/tex]

c)

[tex] \frac{5}{2} \times 6[/tex]

For this part, we can cancel out 2 since 6 is divisible by 2. This gives:

[tex] \frac{5}{1} \times 3[/tex]

Since 5/1 is 5,

we can now solve part c:

[tex]5 \times 3 = 15[/tex]

the set of all possible factors of 18, 30 and 36 then make a set of their common factors and find the H.C.F . please explain briefly​

Answers

Answer:

HCF = 6

Step-by-step explanation:

Listing the factors of each number

18 is 1, 2, 3, 6, 9, 18

30 is 1, 2, 3, 5, 6, 10, 15, 30

36 is 1, 2, 3, 4, 6, 9, 12, 18, 36

common factors are 1, 2, 3, 6

the HCF is 6

find the area of the kite. please help thank you

Answers

Answer:

1/2×d1×d2

=1/2× (4+4)(6+3)

=36

Please help me this is due in like five minutes

Answers

Answer:

20 cm²

Step-by-step explanation:

Area of the square = 2cm * 2cm = 4 cm²

Area of All triangles = (4cm * 2cm) ÷ 2cm * 4cm = (4cm * 2cm) * 2cm = 16 cm²

Total Area = 4 cm² + 16 cm² = 20 cm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Diego runs for 32 seconds at -8. meters per second .what is his finish point?

Answers

Answer:

The finishing point 4

Step-by-step explanation:

32/8=4


In a large crowd, there are three times as
many men as women. Three people are
chosen at random. Assuming that there are
so many people that choosing three has a
negligible effect on the proportion of men to
women, find the probability that they are
a.all men
b.2 women and 1 man.​

Answers

Answer:

A. All men

Explanation

The probability of all men = 0.4219 while the probability of 2 women and 1 man = 0.14

How to solve for the probability of men

The question says we have three times as much men as women

The probability it is a man that was chosen = 3/4

The probability of choosing a woman = 1/4

a. The probability that the chosen persons are all men = (3/4)³

= 0.4219

b. The probability of 2 women and 1 man

3 * 0.75 *0.25²

= 0.14

Hence the probabilities are  a. 0.4219 and b.  0.14

Read more on probability here:

https://brainly.com/question/24756209

#SPJ9

Find the measure of the indicated angle

Answers

Answer:

X = 88 degrees

Step-by-step explanation:

Because its an isosceles triangle the two top angles are 46.

46 + 46 = 98

then you take the degree of the triangle 180 and subtract 98 from it to get 88 degrees

work out 1 2/3 x 1 1/5
pls give the full answer with working out

{NOTE:the 2/3 and the 1/5 are fractions and the 1's are the whole numbers}

Answers

Answer:

5/3*1/5= 1/3

Step-by-step explanation:

change the mixed fraction into improper fraction which is 1*3+2=5

then multiply

What is the measure of x in the figure below?

Answers

Answer:

115 degree

Step-by-step explanation:

x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])

x = 180 - 65

x = 115 degree

Find the average rate of change of g(x)= 7x^4+7/x^3 on the interval [2,3]

Answers

7x^4 +7/x^2 on the interval [-2,3]

Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|

Answers

Answer:

I don't know I don't know about question

Neeedddd answweerrrr plaeeessee

Answers

9514 1404 393

Answer:

  B.  log_b(a) - log_b(d)

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a/b) = log(a) -log(b)

All the logs need to have the same base.

__

Here, the base is 'b', but the rule still applies:

  [tex]\log_b{\dfrac{a}{d}}=\log_b{(a)}-\log_b{(d)}[/tex]

If €1 is £0.72
What is £1 in €

Answers

Answer:

€1.39

Step-by-step explanation:

£0.72 ÷ 0.72 = 1÷0.72

£1= €1.39

In ΔKLM, the measure of ∠M=90°, LK = 5, KM = 3, and ML = 4. What ratio represents the cosine of ∠K?

Answers

It would be 3/5 because cosine is adjacent/hypotenuse and the adjacent of

What is 600000+45 yes I'm back

Answers

Answer:

600045

Step-by-step explanation:

Answer:

Hmm the answer might be 600045

Step-by-step explanation:

So what you do is that you add them up using your calculator or brain.

Find x. Round your answer to the nearest hundredth

Answers

Answer:

5.86

Step-by-step explanation:

Answer:

x = 5.86

Step-by-step explanation:

x / 15 = cos67°

x = 15cos67°

x = 5.86

i will give brainliest

Answers

Hello,

Probability get a Bleu marble =5/12

Probability get a Red marble =4/12

Probability get a Green marble =3/12

p(B,R)=5/12*4/12=20/144

p(R,B)=4/12*5/12=20/144

p(B,G)=5/12*3/12=15/144

p(G,B)=3/12*5/12=15/144

p(R,G)=4/12*3/12=12/144

p(G,R)=3/12*4/12=12/144

p(2 marble different colours)= 2*(20+15+12)/144=94/144=47/72

Find the measure of the indicated angle

Answers

Answer:

73 degrees

Step-by-step explanation:

The line on the two sides of the triangle indicates that the triangles is isosceles. This means that the base angles are congruent.

Question
Example
Step by Step
A
You can represent the measures of an angle and its complement as xºand (90-x)º.
Similarly, you can represent the measures of an angle and its supplement as x and
(180 - x )°. Use these expressions to find the measures of the angles described.
The measure of an angle increased by 68° is equal to the measure of its complement.
The measure of the angle is
and the measure of its complement is

Answers

Answer:

The measure of the angle is 11 and its complement is 79 degrees

Step-by-step explanation:

Mathematically, when two angles are complementary, the sum of the angles equal 90 degrees

so now, if the first angle is x , the second angle which is increased by 68 degrees will be x + 68

So now if we add these two, the value we will get is 90 degrees

Mathematically, we have this as;

x + x + 68 = 90

2x + 68 = 90

2x = 90-68

2x = 22

x = 22/2

x = 11

the measure of the angle is 11 and its complement will be 11 + 68 = 79

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