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2 years ago

The ratio of the weights of A and B is equal to the ratio of the weights

Mathematics

1 answer:

Alona [7]2 years ago

3 0

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

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Hii pls answer it guys plz help me

Agata [3.3K]

Answer:

7) 7/2 (its the only number between 3 and 4)

8) 7/10 ( its the only number between 3/5 and 4/5)

9) 5/8 (its the only number between 1/2 and 3/4)

6 0

3 years ago

Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0

3 years ago

11111111111111111111111

Nat2105 [25]

Answer:

1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

1) The zero based on (-16·t - 2) = 0, is given as follows;

(-16·t - 2) = 0

∴ t = 2/(-16) = -1/8

t = -1/8 second

The zero based on (-16·t - 2) is t = -1/8 second

2) The zero based on (t - 1) = 0, is given as follows;

(t - 1) = 0

∴ t = 1 second

The zero based on (t - 1) is t = 1 second

4 0

2 years ago

Parker bought a 15-year treasury bond for a face amount of $400. The 3.5% interest will be compounded quarterly. What will the f

MArishka [77]

If you're behind like I am and are just now doing these assignments then good luck on catching up.

If it's AQRB Unit 2 Lesson 3 then the answers to the multiple choice are below, you'll need to do the essay and calculation on your own.

1: $674.64
2: $26, 255.38
3: $191, 398.49
4: $23, 884.84

6 0

3 years ago

Find the common factor and rewrite. Type your answer in the box. Do not use any spaces.

finlep [7]

Common factor is 4X

Rewriting the term we get: $4X(Y + 2Z)$

Step-by-step explanation:

We need to find the common factor of the expression: $4XY + 8XZ$

A common factor is the term that is common in all the terms of the expression.

In the given expression the common factor is: 4X because it is common in both terms

$4XY + 8XZ$

$=4X(Y + 2Z)$

So, Common factor is 4X

Rewriting the term we get: $4X(Y + 2Z)$

Keywords: Factors

Learn more about factors at:

#learnwithBrainly

3 0

3 years ago