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3 years ago

14

The Leukemia and Lymphoma Society sponsors a 5k race to raise money. It receives $55 per race entry and $10,000 in donations, bu

t it must spend $15 per race entry to cover the cost of the race.
Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.

1 answer:

ivolga24 [154]3 years ago

7 0

<span>p=people subtract 10,000 already raised from 55,000 profit/p = 40 40p=45000 p=1125 1125 entries</span>

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a six pack of fruit juice cost $2.76 at that same rate how much would a 15 pack cost show work mark braniest

ololo11 [35]

First you divide the cost per the number of units (6):
$2.76/6=$0.46

Then you multiply the unitary cost per 15:
$0.46x15=$6.90 (this is the cost of a 15-pack)

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3 years ago

Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile. If she started at sea level and has hiked

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3 years ago

A dog searching for a bone walks

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Answer:

Comics6366

05/20/2020

Mathematics

Middle School

answered

a dog searching for a bone walks 3.5 m southeast, then 8.2 m at an angle 30 degrees north of east. Find the magnitude of the dog's resultant vector

1

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Comics6366 is waiting for your help.

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OutsideSong

Answer:

Step 1: Firstly, we draw both of the axes.

Step 2: We then draw a vector of length 3.5 m (theoretical) along the (-x) axis.

Step 3: Next, we draw a vector of length 8.2 m from the endpoint towards to top, at an angle of 60° from that point (N.B: 90-30, since it is required to make a 30°∠ with the current vertical; eventually the triangle being formed will be 90° minus the 30°.) Most importantly, the 8.2 m vector should be drawn in such a way so that it is higher than the starting point of the 3.5 m vector. )

Step 4: Lastly, we draw a 15 m vector from the endpoint of the 8.2 m vector, running above the original vector, and to the left. This one should be drawn on the left side, and must be situated far enough.

∴ Triangle 1 () is of angles 30°, 60° and 90°;

On solving for the vertical side (the slope similar to the 3.5 vector), we get

(8.2/2) m = 4.1 m

Next, we solve for the opposite side via 4.1 × √3= 7.1 m

Moving on to Triangle 2 (),

top side = (15 - 7.1) m = 7.9 m

similarly, right side = (4.1 - 3.5) m = 0.6 m

∴ last side = resultant displacement:

⇒ + (0.6)² = 7.9 m

and, direction of displacement = arcTan(y/x)

= arcTan(0.6/7.9)

= 4.3° north of west

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3 years ago

Why is it necessary to use the absolute value of the difference when finding the distance on a number line, but not necessary wh

padilas [110]

Remember that the distance on a number line is given by the formula: $d=|x_{2}-x_{1}|$
where
$d$ is the distance between the points.
$x_{2}$ is the second point in the number line.
$x_{1}$ is the first point in the number line.
Now, suppose we are trying to find the distance between the points -1 and -5; our first point is -1, so $x_{1}=-1$ , and our second point is $-5$ , so $x_{2}=-5$ . Suppose we are going to find the distance between the two point without using absolute value:
$d=x_{2}-x_{1}$
$d=-5-(-1)$
$d=-5+1$
$d=-4$
Look what we have here, a negative distance! Since distances cannot be negative, we must use absolute value to always get postie distances between two point on a umber line:
$d=|x_{2}-x_{1}|$
$d=|-5-(-1)|$
$d=|-5+1|$
$d=|-4|$
$d=4$

Now, the distance between two coordinates on a plane is given by the formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$
$where$
$d$ is the distance between the two coordinates
$(x_{1},y_{2})$ are the coordinates of the first point
$(x_{2},y_{2})$ are the coordinates of the second point
Notice that $(x_{2}-x_{1})^2$ and $(y_{2}-y_{1})^2$ are squared, so it doesn't matter if we get a negative distance because a negative number raised to an even power (like 2) is always positive; therefore we don't need absolute value in this case because we won't ever get a negative distance.

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3 years ago

A group of middle school students attended a field trip. There were 20 sixth grade students and 25 seventh grade students on the

mixer [17]

Answer:

A: 4:5

Step-by-step explanation:

You can simplify 20:25 and get 4:5.

Hope this helps!

4 0

3 years ago

Read 2 more answers