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2 years ago

Sasha is 3/5 of a mile from school, she walks 1/5 of the distance. How far does Sasha have to travel to reach school?

Mathematics

1 answer:

zhenek [66]2 years ago

6 0

Answer:

2/5 of a mile

Step-by-step explanation:

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what number, when added to the numerator and to the denominator of $\frac{5}{8}$, results in a fraction whose value is 0.4?

luda_lava [24]

The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.

<h3>What is a fraction?</h3>

Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.

<h3>Calculation:</h3>

The given fraction is 5/8

Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.

So,

(5 + x)/(8 + x)

Since it is given that the result is 0.4 i.e., 4/10, we can write

(5 + x)/(8 + x) = 4/10

⇒ 10(5 + x) = 4(8 + x)

⇒ 50 + 10x = 32 + 4x

⇒ 10x - 4x = 32 - 50

⇒ 6x = -18

⇒ x = -18/6

∴ x = -3

Therefore, the required number is -3.

Check:

(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4

Learn more about fractions here:

brainly.com/question/17220365

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3 0

1 year ago

The room is a cube with edge length 11 feet including the ceiling in the floor how much surface area must be painted

Xelga [282]

Answer: 726cm squared

Surface area is the area of all the faces added together.

If the area of one face is 11x11=121

Because it is a cube and it has six faces with the same surface area we do 121x6=726 to give us the total surface area.

6 0

2 years ago

Please Need help on these

Harlamova29_29 [7]

<h2> Question # 3</h2>

Answer:

$x = 13.094$

Step-by-Step Explanation

Considering the exponential equation

$e^{x-9}-6=54$

Solving the exponentiation equation

$e^{x-9}-6=54$

$\mathrm{Add\:}6\mathrm{\:to\:both\:sides}$

$e^{x-9}-6+6=54+6$

$e^{x-9}=60$

$\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

$\ln \left(e^{x-9}\right)=\ln \left(60\right)$

$\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\ln \left(e^{x-9}\right)=\left(x-9\right)\ln \left(e\right)$

$\left(x-9\right)\ln \left(e\right)=\ln \left(60\right)$

$\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1$

$\ln \left(e\right)=1$

$x-9=\ln \left(60\right)$

$x=\ln \left(60\right)+9$

$x=13.094$ ∵ $\ln \left(60\right)=4.094$

Therefore, x = 13.094

<h2> Question # 4</h2>

Answer:

$x=0.386$

Step-by-Step Explanation

Considering the exponential equation

$3e^{9x}-6=91$

Solving the exponentiation equation

$3e^{9x}-6=91$

$\mathrm{Add\:}6\mathrm{\:to\:both\:sides}$

$3e^{9x}=97$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3e^{9x}}{3}=\frac{97}{3}$

$e^{9x}=\frac{97}{3}$

$\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

$\ln \left(e^{9x}\right)=9x\ln \left(e\right)$

$9x\ln \left(e\right)=\ln \left(\frac{97}{3}\right)$

$\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1$

$\ln \left(e\right)=1$

$9x=\ln \left(\frac{97}{3}\right)$

$\mathrm{Divide\:both\:sides\:by\:}9$

$\frac{9x}{9}=\frac{\ln \left(\frac{97}{3}\right)}{9}$

$x=\frac{\ln \left(\frac{97}{3}\right)}{9}$

$x=\frac{3.476}{9}$ ∵ $ln\left(\frac{97}{3}\right)=3.476$

$x=0.386$

Therefore, x = 0.386

5 0

3 years ago

Solve for the value of p<br><br>dont ask for ang information cuz that is literally all it says

seraphim [82]

Answer:

p = 35

Step-by-step explanation:

( 2p + 5 ) + ( 3p ) = 180

2p+5+3p=180

Combine 2p and 3p to get 5p.

5p+5=180

Subtract 5 from both sides.

5p=180−5

Subtract 5 from 180 to get 175.

5p=175

Divide both sides by 5.

p = 175\5

Divide 175 by 5 to get 35.

p = 35

5 0

2 years ago

Please help with 7 and 8 thanks

Evgen [1.6K]

For these problems you'll need to know that the volume on a triangle can be figured out by plugging in given information into the equation: v=1/2 bxh

4 0

3 years ago