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3 years ago

10

Sally has a steady babysitting job on Saturday nights. She charges $9.50 an hour plus 3.50 for each child she watches. How many

children did she watch if she made $30.50 for one hour?

1 answer:

SCORPION-xisa [38]3 years ago

4 0

She would have watched 7 children I believe

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the ratio of sallys height is 7:8. if the sum of their heights is 90 inches. how tall are sally and jack?

pickupchik [31]

Answer:

Sally is 42 in. tall, and Jack is 48 in. tall.

Step-by-step explanation:

There are some words missing in the problem.

Perhaps the problem was meant to read:

"The ratio of Sally's height to Jack's height is 7:8. If the sum of their heights is 90 inches, how tall are Sally and Jack?"

Solution:

The ratio of the heights is 7:8.

Sally could measure 7 inches and Jack 8 inches, but then when you add the heights, 7 in. + 8 in. = 15 in. which is not 90 inches.

If you multiply both numbers in a ratio by the same number, the new numbers are still in the same ratio.

Multiply 7 and 8 by 2. You get 14 and 16. Maybe Sally is 14 in. tall and Jack is 16 in. tall. Add the heights, 14 in. + 16 in. = 30 in. This is also not 90 in.

We can keep on guessing what number to multiply by 7 and 8 by so their sum is 90, but we can use algebra to write an equation and not have to go through many guesses.

There is a number, x, that when you multiply 7 and 8 by x, the sum of the products is 90. We don't know what x is, but we can write an equation and solve for x.

The numbers in the ratio are 7x and 8x.

7x and 8x are still in the ratio 7:8.

Now we add the numbers 7x and 8x and set the sum equal to 90. Then we solve for x.

7x + 8x = 90

15x = 90

x = 6

We get x = 6. Now we know we need to multiply both 7 and 8 by 6 to get the heights we need.

7 in. * 6 = 42 in.

8 in. * 6 = 48 in.

Check: 42 in. + 48 in. = 90 in.

Answer: Sally is 42 in. tall, and Jack is 48 in. tall.

7 0

2 years ago

Please help. I have attached a picture.

Ksivusya [100]

Answer: Choice C) -1/3

The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)

To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.

7 0

3 years ago

Could someone please explain/help me to do this using Pythagoras theorem?

alex41 [277]

Answer:

$\boxed{478.02}$

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

8 0

3 years ago

Find the distance between the two points and simplest rational form (3,-4) (6,-7))

pychu [463]

Answer:

$D = 3\sqrt{2}$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,-4)$

$(x_2,y_2) = (6,-7)$

Required

Determine the distance between the two points

Distance (D) is calculated as:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Substitute values for x's and y's

$D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}$

$D = \sqrt{(6 - 3)^2 + (-7 +4)^2}$

$D = \sqrt{(3)^2 + (-3)^2}$

$D = \sqrt{9+9}$

$D = \sqrt{18}$

Express as 9 * 2

$D = \sqrt{9*2}$

Split:

$D = \sqrt{9}*\sqrt{2}$

$D = 3*\sqrt{2}$

$D = 3\sqrt{2}$

4 0

2 years ago

The equation A = 125 gives the amount, in grams, of a radioactive substance

Helen [10]

Answer:

y=125a+1

Step-by-step explanation:

4 0

3 years ago