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2 years ago

Type the correct answer in each box.

Mathematics

1 answer:

densk [106]2 years ago

4 0

Answer:

35 and 1 :)

Step-by-step explanation:

plato/edm fam

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When Legs jumps 2 times and takes 13 steps forward, he lands in the same place as when he jumps 4 times and takes 5 steps backwa

tangare [24]

Answer:

9 steps

Step-by-step explanation:

Let $x$ be the number of jumps

and $y$ be the number of steps

So the first case

$2x+13y$

Second case

$4x-5y$

Both cover equal distances so

$2x+13y=4x-5y$

$\Rightarrow 2x-4x=-5y-13y$

$\Rightarrow 2x=18y$

$\Rightarrow x=9y$

So, one jumps is 9 steps.

4 0

3 years ago

a gas company in massachusetts charges $1.30 for 16.7 ft3 of natural gas. convert this rate to dollars per liter of gas

Katyanochek1 [597]

By using a change of units, we can see that the rate in dollars per liter is:

R = $0.0027 per liter.

<h3>How to convert the rate?</h3>

Here we have a rate in dollars per cubic foot, and we want to rewrite this in dollars per liter. So we just need to apply a change of units.

The original rate is in dollars per square foot, and it is given by:

R = $1.30 for 16.7ft^3

We know that the relation between cubic feet and liters is:

1ft^3 = 28.32 L

Then, if we apply a change of units, we can rewrite the volume as:

16.7ft^3 = 16.7*(28.32) L = 472.9 L

Then the rate is $1.30 per 472.9 L, taking the quotient we get:

R = ($1.30/472.9 L) = $0.0027 per liter.

If you want to learn more about changes of units:

brainly.com/question/9032119

#SPJ1

5 0

2 years ago

ASAP Help!!!!!

Nina [5.8K]

19/6

it has to be a fraction

3 0

3 years ago

Circles A, B, and C overlap. The overlap of circles B and C is labeled x. Which statements are true about x? Select three option

Paladinen [302]

Answer:

(A)x ∈ B ⋃ C

(B)x ∈ B ∩ C

(C)x ∈ A ⋃ C

Step-by-step explanation:

A diagram has been created and attached for more understanding.

If the overlap of circles B and C is labeled x.

Then: $x \in (B \cap C)$

If x is contained in the intersection of B and C, it means that:

$x \in B $ and x \in C.\\$Therefore:\\x \in B \cup C$

Finally:

$x \in C $ and x \notin A\\$x will be in the union of A and C\\Therefore, x \in A \cup C$

The correct options are A, B and C.

4 0

3 years ago

Read 2 more answers

Fill in the gaps in this sequence: -8, -19, -30, _ , _.<br> (Geometric and arithmetic sequences)

gavmur [86]

-8, -19, -30, -49 , -60

<u>Step-by-step explanation:</u>

Here we have the following sequence :

-8, -19, -30, _ , _

First term of sequence is -8 .
Second term of sequence is -19 : $-8-11 = -19$
Third term of sequence is -30 : $-19-11 = -30$
Fourth term of sequence is : $-30-11 = -49$
Fifth term of sequence is : $-49-11 = -60$

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. $a = -8$ and common difference $d = -11$ having general equation as : $-8 -11n$ .

6 0

3 years ago