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DaniilM [7]
3 years ago
8

Can earn 5 coins

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

?=10 dollars per hour

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Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $
Annette [7]

Let C be the amount of compost

T be the amount of  topsoil

Each compost cost = $25

Cost of C compost = 25C

Each topsoil cost = $15

Cost of T topsoil = 15T

Amount of compost + amount of topsoil = 10

C + T = 10 -------> Equation 1

cost of C compost + cost of T topsoil = 180

25C + 15T = 180 --------> equation 2

Solve  the first equation for C

C + T = 10

C = 10 - T

Now plug it in second equation

25C + 15T = 180

25 ( 10 - T) +15T = 180

250 - 25T + 15T = 180 (combine like terms)

250 - 10 T = 180 (Subtract 250 on both sides)

-10T = 180 - 250

-10T = -70 ( divide by -10 on both sides)

T = 7

She purchased  7 cubic yards of topsoil .


4 0
3 years ago
Read 2 more answers
a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 1
Virty [35]

The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.

A plane that travels a distance r, in kilometers, with a bearing of \theta sexagesimal degrees can be represented in standard position by means of the following expression:

\vec r = r\cdot (\sin\theta, \cos \theta) (1)

We can obtain the resulting vector (\vec R) by the principle of superposition:

\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})] (2)

If we know that r_{1} = 5\,km, \theta_{1} = 0^{\circ}, r_{2} = 6\,km, \theta_{2} = 60^{\circ}, r_{3} = 4\,km and \theta_{3} = 120^{\circ}, then the resulting vector is:

\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})

\vec R = (5\sqrt{3}, 6) \,[km]

The magnitude of the resultant is found by Pythagorean theorem:

\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}

And the bearing is determined by the following <em>inverse</em> trigonometric relationship:

\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right) (3)

If we know that R_{x} = 5\sqrt{3}\,km and R_{y} = 6\,km, then the magnitude and the bearing of the resultant is:

\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}

\|\vec R\| \approx 10.536\,km

\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)

\theta_{R} \approx 34.715^{\circ}

The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479

6 0
2 years ago
4.1&lt;7 as a fraction. pls workout and ill mark you brainliest
labwork [276]

Answer:

4/7

Step-by-step explanation:

hope this helps

3 0
3 years ago
Mrs. Cahan asked her class to write fractions on their whiteboards that were equivalent to 2/4. Which fraction is equivalent to
KatRina [158]

Answer:

1/2

Step-by-step explanation:

because 2/4 can be reduced to 1/2

3 0
3 years ago
Factor the expression using the GCF. The expression 21m−49n factored using the GCF is...
Roman55 [17]

Answer:  7(3m - 7n)

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

Factor each term then see what value(s) they have in common:

          21m         -          49n

            ∧                        ∧

          3 · 7 · m              7 · 7 · n

Both terms have a 7 in common.  What is left over after removing the 7?

21m: 7(3m)

49n: 7(7n)

GCF: 7           Leftovers: 3m <em>and</em>  7n

Factored form of expression is: 7(3m - 7n)

6 0
2 years ago
Read 2 more answers
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