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melamori03 [73]
3 years ago
7

The quotient of a number and 4 is at most 15

Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0

Answer:

x÷4≤15

Step-by-step explanation:

the quotient of a number (x) and 4: x÷4

the phrase "at most" means ≤, less than or equal to

so if we put the parts together, we get x÷4≤15

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The ratio of cake to cookies is 1:10. If there are 60 cookies, how many cakes are there?
sesenic [268]

Answer:

there are 6 cakes if there are 60 cookies

Step-by-step explanation:

1:10

60÷10=6

1:10 (multiply both sides by 6)

6:60 there are 6 cakes

3 0
2 years ago
Find the distance between the points.<br> (r, s) and (0, 0)
zhenek [66]

Answer:  \sqrt{r^2+s^2

=====================================================

Reason:

Plot the points (0,0) and (r,s). You can place (r,s) anywhere you want.

Connect the two points mentioned and form a right triangle such that the segment from (0,0) to (r,s) is the hypotenuse of said right triangle.

The horizontal leg has a length of r-0 = r units, while the vertical leg will be 's' units.

Check out the diagram below.

We then apply the pythagorean theorem to say r^2+s^2 = h^2 where h is the hypotenuse. Solving for h gets us h = \sqrt{r^2+s^2}. We only focus on the positive square root since a negative hypotenuse makes no sense.

Since we made the hypotenuse the segment with endpoints (r,s) and (0,0), this means the hypotenuse length and the distance are the same thing.

Therefore, the distance from (r,s) to (0,0) is \sqrt{r^2+s^2}

As an alternative, you can use the distance formula to get the same answer. The distance formula is effectively the pythagorean theorem phrased a different way.

5 0
2 years ago
Elizabeth is selling jam at a farmers market, and she earns $5.00 for each jar of jam that she sells. Her goal for the weekend i
Musya8 [376]

Answer:

66 jars of jam

Step-by-step explanation:

Elizabeth is selling jam at a farmers market.

She earns $5 for each jar of Jan that she sells

Her goal is to earn $450 during the weekend.

Elizabeth has already made $95 from the sale of her jams and $24 from leading a demonstration

Therefore the total amount that has been made is

= $95 + $24

= $119

Since her target is $450 and she has already made $119 then the amount remaining to complete the target can be calculated as follows

= $450 - $119

= $331

The minimum number of jars that Elizabeth must sell to realize her goal can be calculated as follows

= 331/5

= 66

Hence Elizabeth must sell 66 jars of jam to reach her goal.

7 0
3 years ago
A watering can dispenses water at the rate of 0.25 gallon per minute. The original volume of water in the can was 6 gallons. Whi
nydimaria [60]

I believe the answer should be A {(1, 6.0),(2, 5.75),(3, 5.50)}

4 0
3 years ago
Graph these two equations.<br> y= 2x - 3<br> x + 2y = 4
Vladimir [108]
This graph is x+2y=4

4 0
3 years ago
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