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3 years ago

Mrs. Gargantua thinks she finally may have found

Mathematics

1 answer:

docker41 [41]3 years ago

6 0

Answer:

She should used 4.5 ounces of the 4% and 1.5 ounces of the 20%.

Step-by-step explanation:

x = amount of 4% fuel

6 - x = amount of 20% fuel

0.04x + 0.2(6 - x) = 0.08(6) Multiply both sides by 100 to remove the decimals

4x + 20(6 - x) = 8(6)

4x + 120 - 20x = 48

-16x + 120 = 48

-16x = -72

x = 4.5

She should used 4.5 ounces of the 4% and 1.5 ounces of the 20%.

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What is the equation if the line slope is 2/3 and the y-intercept is -3

lora16 [44]

<h2>The required equation of line is 2x - 3y - 9 = 0.</h2>

Step-by-step explanation:

Here, slope(m) = $\dfrac{2}{3}$ and y - intercept(c) = -3

To find, the required equation of line = ?

We know that,

The equation of a line with slope m and y-intercept c is given by

y = mx + c

∴ The required equation of line

y = $\dfrac{2}{3}$ x + (- 3)

⇒ y = $\dfrac{2}{3}$ x - 3

⇒ y + 3 = $\dfrac{2}{3}$ x

⇒ 3(y + 3) = 2x

⇒ 3y + 9 = 2x

⇒ 2x - 3y - 9 = 0

Thus, the required equation of line is 2x - 3y - 9 = 0.

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4 years ago

What is the slope of a line that contains the two points (4, 5) and (9, 7)? *

Sergio039 [100]

Answer:

$\frac{2}{5}$

Step-by-step explanation:

Line contains the points (4, 5) and (9, 7).

$\therefore \: slope = \frac{7 - 5}{9 - 4} = \frac{2}{5} \\$

8 0

4 years ago

Explain how to solve 4^x+3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution fo

Masja [62]

The value of x is 1

Explanation:

The equation is $4^x+3=7$

Subtracting both sides by 3, we get,

$4^x=4$

Taking log on both sides, we get,

$\log 4^{x}=\log 4$

Rewriting the equation by $4^{x}=u$

Thus, we have,

$\log u=\log 4$

Applying log rule, if $\log f(x)=\log g(x)$ , then $f(x)=g(x)$

Thus, $u=4$

Substituting $u=4$ in $4^{x}=u$ , we get,

$4^x=4$

Also, since, $a^{f(x)}=a^{g(x)}$ , then $f(x)=g(x)$

Thus, $x=1$

Hence, the value of x is 1

7 0

3 years ago

90 POINTS!!! PLEASEE HELP AND SHOW WORK. I WILL GIVE BRAINLIEST IF ALL WORK IS SHOWN THANKSS.

konstantin123 [22]

Answer:

18. 3.3years

Step-by-step explanation:

18. 20,000 - (20,000 - .15x) = 10,000

15% of 20,000 is 3,000

5 0

3 years ago

What is 67% of 236?

melamori03 [73]

Answer:

158.12

Step-by-step explanation:

67% can be written as 0.67.

Multiply:

0.67 × 236 = 158.12

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4 years ago

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