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3 years ago

6

Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made

$139. How many hours did she spend babysitting?

1 answer:

Ganezh [65]3 years ago

4 0

Answer:

11hrs babysitting

Step-by-step explanation:

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The two toy store owners agree to specialize and to trade 30 puzzles for 10 puppets. The terms of trade are still 3 puzzles for

likoan [24]

Based on the exchange rate, at the end of the trade, Lewis will have 31 puppets and 2 puzzles left over while Geppeto will have 158 puzzles and 4 puppets left over.

<h3>What is the exchange rate of puzzles for puppets?</h3>

The exchange rate of puzzles for puppets is 3 to 1.

Geppeto has 20 puppets to exchange for puzzles.

Lewis has 50 puzzles to exchange for puppets.

Number of times Lewis can exchange puzzles for puppets = 50/3 = 16 times.

Lewis will get 16 puppets in exchange for 48 puzzles.

Therefore;

Lewis will have 16 + 25 puppets = 31 puppets and 2 puzzles left over

Geppeto will have 48 + 100 puzzles = 158 puzzles and 4 puppets left over.

in conclusion, the exchange rate determines the how many puzzles and puppets will each one have after they complete their trade.

Learn more about exchange rate at: brainly.com/question/2202418

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2 years ago

I really need a math tutor can anyone help?

valentina_108 [34]

Answer:

Sure... I can help with some questions!

Step-by-step explanation:

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3 years ago

Given sin(theta)= 7/11 and sec(theta)<0<br> Find cos(theta) and tan(theta)

allsm [11]

When given a trigonometric ratio, and asked to find another ratio, we draw a right triangle as shown in the picture.

From the pythagorean theorem we find the length of AB:

$|AB|= \sqrt{ AC^{2}- BC^{2} }= \sqrt{ 11^{2}- 7^{2} }= \sqrt{121-49} = \sqrt{72} = \sqrt{2*36}$ $= 6\sqrt{2}$

the numerical value of

cos∅=adjacent side/hypotenuse= $\frac{ 6 \sqrt{2} }{11}$

since sec∅=1/cos∅, and sec∅ is negative, then cos∅ is also negative.

Answer:

cos∅= $-\frac{ 6 \sqrt{2} }{11}$

3 0

3 years ago

Read 2 more answers

Determine the scale factor for the following points: (4, 2) to (16, 8)

hammer [34]

Answer:

The rule of dilation by a scale factor 4 is:

(x, y) → (4x, 4y)

P(4, 2) → (4x, 4y) = (4(4), 4(2)) = P'(16, 8)

Therefore, 4 will be the scale factor.

Step-by-step explanation:

Given the point

(4, 2)

As the image coordinates of (4, 2) are (16, 8) after the scale factor, we need to determine what could be the scale factor.

Let P(4, 2) is the original point, and P'(16, 8) is the image of the point P(4, 2).

It is clear that the coordinates of the image P'(16, 8) are 4 times the coordinates of the original point P(4, 2), which means the point P(4, 2) is dilated by a scale factor of 4.

Thus, the rule of dilation by a scale factor 4 is:

(x, y) → (4x, 4y)

P(4, 2) → (4x, 4y) = (4(4), 4(2)) = P'(16, 8)

Therefore, 4 will be the scale factor.

3 0

3 years ago

Find n for the arithmetic sequence for which sn=345, u1=12 and d = 5 .

liq [111]

Answer:

n = 10

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 and $S_{n}$ = 345, thus

$\frac{n}{2}$ [ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )

n( 24 + 5n - 5) = 690 ← distribute and simplify left side

n(19 + 5n) = 690

19n + 5n² = 690 ( subtract 690 from both sides )

5n² + 19n - 690 = 0 ← in standard form

(5n + 69)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - $\frac{69}{5}$

n - 10 = 0 ⇒ n = 10

However, n > 0 , thus n = 10

6 0

3 years ago