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3 years ago

Isabel ran 9 miles with her friend Kaylee last week this was 60% of the distance she ran all week how far did she run all week

Mathematics

1 answer:

elixir [45]3 years ago

8 0

Answer:

15 miles

Step-by-step explanation:

9 miles is 60% of the total

We can translate this to an equation. Remember:

"IS" means "EQUAL"
"OF" means "MULTIPLICATION"
Percentage should be converted to decimal first by dividing by 100
Let total be t

60% will be 60/100 = 0.6

Now, translating the word problem into an equation:

$9 = 0.6 * t$

Now, we solve for total (t):

$9 = 0.6 * t\\t=\frac{9}{0.6}\\t=15$

Hence, she ran 15 miles all week

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likoan [24]

If they started at the south pole every direction is north. Traversing the lattitudes (traveling 20 miles west) doesn't get you any farther from the pole.

So they photographed south pole stuff, mostly snow.

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3 years ago

Solve the proportion below. 7/x=19

alexgriva [62]

Answer:

The value of x is approximately 0.3684.

Step-by-step explanation:

Given:

$\frac{7}x}=19$

We need to solve the proportion.

Solution:

Now we can see that;

In given equation one number is fraction and other number is whole number.

Now To make whole number into fraction we will divide by 1.

hence the whole number will be equal to;

$19=\frac{19}{1}$

Now the new equation will be;

$\frac{7}{x}=\frac{19}{1}$

Now by cross multiplication we get;

$7\times1=19\times x\\\\7=19x$

Now dividing both side by 19 we get;

$\frac{7}{19}=\frac{19x}{19}\\\\x\approx0.3684$

Hence the value of x is approximately 0.3684.

6 0

4 years ago

yulyashka [42]

Answer:

Option 1: 1430p + 2200 = -4001

Step-by-step explanation:

Given that:

1.43p + 2.2 = -4.001

We can replace:

1.43p by 1430p * 10^-3

2.2 by 2200 * 10^-3

-4.001 by -4001* 10^-3

So the equation will become:

1430p * 10^-3 + 2200* 10^-3 = -4001 * 10^-3

Taking 10^-3 common from both side

(1430p + 2200)* 10^-3 = -4001 * 10^-3

Cancelling 10^-3 from both sides we get:

1430p + 2200 = -4001

3 0

3 years ago

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

$F = \dfrac{9}{6^x}$

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

$W = \int\limits^{x_2}_{x_1} {F(x)} \, dx$

with $x_1$ and $x_2$ the initial and final displacements respectively.

From the question, $x_1 =0$ and $x_2 = 12$ .

Then

$W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx$

Evaluating the indefinite integral,

$\int\limits \dfrac{9}{6^x} \, dx =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx$

From the rules of integration,

$\int\limits a^x\, dx = \dfrac{a^x}{\ln a}$

$9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x$

Returning the limits,

$\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}$

4 0

3 years ago

PLEASE HELP!!!!

Irina18 [472]

Answer:

3rd angle of a triangle = x = 75°

Step-by-step explanation:

1st angle of a triangle = 50°

2nd angle of a triangle = 55°

3rd angle of a triangle = x = ?

We know that sum of three angle of triangle = 180°

1st angle of a triangle + 2nd angle of a triangle + 3rd angle of a triangle = 180°

50° + 55° + x = 180°

105° + x = 180°

x = 180° - 105°

x = 75°

3rd angle of a triangle = x = 75°

5 0

3 years ago

Read 2 more answers