£1 (pound) is worth 1.64 euros. Jane changes £400 into euros. how many euros does she recieve?

A factory worker can produce 28 toys in an eight hour day If there are 42 workers in total how many toys are produced every hour

katrin2010 [14]

Answer:

147 toys

Step-by-step explanation:

for 1 person, 28toys/8hours = 3.5toys/ 1hour

for 42 people, 42 * 3.5toys/ 1hour = 147 toys/hour

~Hope it Helps!~

3 0

2 years ago

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Find the lengths of the median o

nexus9112 [7]

Answer:

$5/2units\\$ .

$\sqrt{47/2}units \\$ .

$\sqrt{41/2}units\\$ .

Step-by-step explanation:

The given points are A(1,2,3), B(-2,0,5) and C(4,1,5). The triangle is represented in the attach file where the three possible median are length AE, BF, and CD. We determine the coordinate of point D,E and F using the midpoint equation which is for any point A(x,y,z) and point B(a,b,c), the midpoint D is determine by

$D=(\frac{x+a}{2},\frac{y+b}{2},\frac{z+c}{2})\\$ .

Hence going by the above formula we determine the coordinate of point D,E and F

$D=(\frac{-2+1}{2},\frac{0+2}{2},\frac{5+3}{2})\\$ .

$D=(\frac{-1}{2},1,4)\\$ .

point E

$E=(\frac{4-2}{2},\frac{1+0}{2},\frac{5+5}{2})\\$ .

$E=(1,\frac{1}{2},5)\\$ .

Point F

$F=(\frac{4+1}{2},\frac{1+2}{2},\frac{5+3}{2})\\$ .

$F=(\frac{5}{2},\frac{3}{2},4)\\$ .

To determine the length of each median line we use the formula for distance between two points which is express as

$AB=\sqrt{(y_{2}-y_{1} )^{2} +(x_{2}-x_{1} )^{2}+(z_{2}-z_{1} )^{2}} \\$ .

Using the above formula we determine the length of line AE,BF and CD.

$AE=\sqrt{(1-1 )^{2} +(1/2-2)^{2}+(5-3 )^{2}} \\$ .

$AE=\sqrt{0 +9/4+4} \\$ .

$AE=\sqrt{25/4} \\$ .

$AE=5/2units\\$ .

For point BF

$BF=\sqrt{(5/2+2 )^{2} +(3/2-0)^{2}+(4-5 )^{2}}\\$ .

$BF=\sqrt{81/4 +9/4+1} \\$ .

$BF=\sqrt{47/2} \\$ .

$BF=\sqrt{47/2}units \\$ .

For point CD

$CD=\sqrt{(-1/2-4 )^{2} +(1-1)^{2}+(4-5 )^{2}}\\$ .

$BF=\sqrt{81/4 +0+1} \\$ .

$BF=\sqrt{41/2} \\$ .

$BF=\sqrt{41/2}units\\$ .

7 0

2 years ago

At a store, apples cost $0.80 $0.80 each and oranges cost $0.95 $0.95 each. Harry buys some apples and oranges and spends $9.55

gregori [183]

Answer:

Harry buys 6 apples and 5 oranges at the store.

Step-by-step explanation:

Given:

Cost of each apples = $0.8

Cost of each oranges = $0.95

Total money spend =$9.55

Number of fruits bought= 11

We need to find the number of apples bought and number of oranges were bought.

Solution:

Let the number of apples bought be 'a'.

Let the number of oranges were bought be 'o'.

Number of fruits bought= 11

So we can say that;

Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.

framing in equation form we get;

$a+o=11$ ⇒ equation 1

Now we can say that;

Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.

framing in equation form we get;

$0.8a+0.95o=9.55$ ⇒ equation 2

Now Multiplying equation 1 by 0.8 we get;

$0.8(a+o)=0.8\times11$

$0.8a+0.8o=8.8$ ⇒ equation 3

Subtracting equation 3 from equation 2 we get;

$0.8a+0.95o-(0.8a+0.8o)=9.55-8.8\\\\0.8a+0.95o-0.8a-0.8o=0.75\\\\0.15o=0.75$

Dividing both side by 0.15 we get;

$\frac{0.15o}{0.15}=\frac{0.75}{0.15}\\\\o=5$

Substituting the value of o in equation 1 we get;

$a+o=11\\\\a+5=11\\\\a=11-5=6$

Hence Harry buys 6 apples and 5 oranges at the store.

3 0

2 years ago

23.7 – y when y = 10

sveta [45]

10.7
23.7-10=10
that r the maths

6 0

2 years ago

Read 2 more answers

Marla did 65 sit ups each day for one week.Use the distributive property to show an expression you can use to find the total num

poizon [28]

The distributive property lets you multiply a sum by multiplying each addend separately first and then summing the products together.
Marla did 65 x 7 = 455 sit-ups during the week

65 sit-ups can be written as 60+5 sit ups or as 50+15 sit-ups or as 40+25 sit-ups (these are just examples)

Applying the distributive property:
Marla did: (60 x 7) + (5 x 7) = 455 sit-ups during the week, or
Marla did: (50 x 7) + (15 x 7) = 455 sit-ups during the week, or
Marla did: (40 x 7) + (25 x 7) = 455 sit-ups per week

You can try this with any two numbers whose sum is 65 and all will give you the same answer.

7 0

2 years ago