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4 years ago

Plzzzzzzzzz help will give brainliest!!

Mathematics

1 answer:

irina [24]4 years ago

8 0

$21.6

---------------------------------------------------------------------------------------------

Step-by-step explanation:

Kilometres when Satish is alone

150 kilometres in the beginning

150 kilometres in the end

Total: 300 kilometres

Litres of gas when Satish is alone

6 litres of gas per 100 kilometres

6 x 3 for 300 kilometres = 18 litres

Cost of gas when Satish is alone

$1.2 per litre

18 x 1.2 = $21.6

Therefore, Satish will pay $21.6 for gas.

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Will mark brainliest for the **CORRECT** answer!

Paraphin [41]

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

This is because the diagram shows 4x + 12x and the total being, 320.

4x + 12x = 16x

and 320/16 = 20

so x = 20

hope this helped :)

8 0

3 years ago

When p = 12, t = 2, and s = One-sixth, r = 18. If r varies directly with p and inversely with the product of s and t, what is th

bagirrra123 [75]

Answer:

$k = \frac{1}{2}$

Step-by-step explanation:

Given

$p = 12$

$t = 2$

$s = \frac{1}{6}$

$r = 18$

$r\ \alpha\ p\ * \frac{1}{s * t}$

Required

Find the constant of variation

From the question, the variation is as follows

$r\ \alpha\ p\ * \frac{1}{s * t}$

$r\ \alpha\ \frac{p * 1}{s * t}$

$r\ \alpha\ \frac{p}{s * t}$

Convert variation to equation

$r\ = k\frac{p}{s * t}$

Where k represents the constant of variation

Make k the subject of formula;

Multiply both sides by s * t

$r * s * t = k\frac{p}{s * t} * s * t$

$r * s * t = kp$

Divide both sides by p

$\frac{r * s * t}{p} = \frac{kp}{p}$

$\frac{r * s * t}{p} = k$

$k = \frac{r * s * t}{p}$

Substitute the values of p, r, s and t in the above equation

$k = \frac{18 * \frac{1}{6} * 2}{12}$

$k = \frac{6}{12}$

Divide numerator and denominator by 6

$k = \frac{1}{2}$

Hence, the constant of variation is; $k = \frac{1}{2}$

4 0

3 years ago

Noah has 5 pieces of bubble gum to share with his 5 teammates. He wants to give each teammate the same number of pieces. How man

Talja [164]

Answer:

1 each

Step-by-step explanation:

Given that Noah has 5 pieces of bubble gum

There are 5 teammates of Noah.Noah wants to share the 5 pieces among 5.

Since there are exactly 5 pieces and there are 5 team mates, the no of piece that can be given to each team mate =1

So if 1 piece is given to teammate, there will be equal distribution of bubble gum pieces to all 5 team mates.

Verify:

If 1 is given to each of 5 teammates, the number of bubble gum pieces required =5

This is equal to the no of pieces Noah has.

5 0

3 years ago

Please help me and show your work please ill mark you brainliest :)

denis23 [38]

Answer:

Step 1 and step 2

Step-by-step explanation:

she has to subtract 30 not add 30.

2(3x+6)=3(x-10)

6x + 12 = 3x-30

6x +12 - 12 = 3x - 30 - 12

6x = 3x - 42

6x - 3x = 3x - 42 - 3x

3x = -42

3x/3 = -42/3

x = -14

3 0

3 years ago

Read 2 more answers

Is <img src="https://tex.z-dn.net/?f=2%5E%7B-3%7D" id="TexFormula1" title="2^{-3}" alt="2^{-3}" align="absmiddle" class="latex-f

TEA [102]

Answer:

Rational

Step-by-step explanation:

$2^{-3}$ simplifies to $\frac{1}{8}$ .

Therefore, it is rational.

$2^{-3}\\\\\text {Apply negative exponent rule: } a^{-n} = \frac{1}{a^n} \\2^{-3}= \frac{1}{2^3}\\ \rightarrow 2^3 = 2*2*2=8\\\boxed{2^{-3}=\frac{1}{8}}$

<em>Brainliest Appreciated. </em>

5 0

3 years ago