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lions [1.4K]
3 years ago
7

Express the ratio in lowest form:1.5 kg: 350 g​

Mathematics
1 answer:
irakobra [83]3 years ago
5 0

Given:

The ratio is:

1.5 kg : 350 g​

To find:

The lowest or simplest form of the given ratio.

Solution:

We know that,

1 kg = 1000 g

We have,

1.5 kg : 350 g​

It can be written as

1.5\ kg : 350\ g=\dfrac{1.5\ kg}{350\ g}

1.5\ kg : 350\ g=\dfrac{1.5\times 1000\ g}{350\ g}

1.5\ kg : 350\ g=\dfrac{1500\ g}{350\ g}

1.5\ kg : 350\ g=\dfrac{150}{35}

1.5\ kg : 350\ g=\dfrac{30}{7}

Therefore, the lowest form of the given ratio is 30:7.

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What is the length of EF in the right triangle below?
Tema [17]

Answer:

A

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to find EF

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

EF² + DF² = DE² ← substitute values

EF² + 12² = 18², that is

EF² + 144 = 324 ( subtract 144 from both sides )

EF² = 180 ( take the square root of both sides )

EF = \sqrt{180} → A

3 0
3 years ago
Suppose at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard. Also, 30% of the
Doss [256]

Answer:

0.6,0.7,0.3 neither disjoint nor independent.

Step-by-step explanation:

Given that at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard.

A= visa card

B = Master card

P(A) = 0.60 and P(B) = 0.40

P(AUB)' = 0.30

i.e. P(AUB) = 0.70

Or P(A)+P(B)-P(AB) =0.70

P(AB)= 0.30

Randomly select a student from the university.

1) the probability that this student does not have a MasterCard.

= P(B') = 1-0.4 =0.6

2.  the probability that this student has either a Visa card or a MasterCard.

=P(AUB) = 0.70

3. Calculate the probability that this student has neither a Visa card nor a MasterCard.

=P(AUB)' = 0.30

4. Are the events A and B disjoint? Are the events A and B independent?

A and B have common prob 0.30 hence not disjoint.

P(AB) ≠P(A)P(B)

Hence not independent

6 0
3 years ago
I need help don’t know this ??
stealth61 [152]
Is it trying to find the pints where they meet????!
3 0
3 years ago
If f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 and g(x)=x^2+7g(x)=x
nadya68 [22]

The value of the composite function f(g(x)) is 2x^2 + 15

<h3>How to evaluate the composite function f(g(x))?</h3>

The functions are given as:

f(x) = 2x + 1

g(x) = x^2 + 7

We have the function f(x) to be

f(x) = 2x + 1

Substitute g(x) for x in the equation f(x) = 2x + 1

So, we have

f(g(x)) = 2g(x) + 1

Substitute g(x) = x^2 + 7  in the equation f(g(x)) = 2x + 1

f(g(x)) = 2(x^2 + 7) + 1

Open the brackets

f(g(x)) = 2x^2 + 14 + 1

Evaluate the sum

f(g(x)) = 2x^2 + 15

Hence, the value of the composite function f(g(x)) is 2x^2 + 15

Read more about composite function at

brainly.com/question/10687170

#SPJ1

<u>Complete question</u>

if f(x) = 2x + 1 and g(x) = x^2 + 7

which of the following is equal to f(g(x))

8 0
1 year ago
The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?The price of a computer was decreased
Mkey [24]
The first one would be $160 and the second one would be $525
6 0
3 years ago
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