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pogonyaev
3 years ago
9

How many times greater is the value 4 in 640,070 than the value of the 4 in 64,070

Mathematics
1 answer:
vazorg [7]3 years ago
7 0
How many times greater is the value 4 in 640,070 than the value of the 4 in 64,070

its 10.000 greater :)

hope this heled
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Solve the system of equations by elimination.<br> 2x - y + 3z=-1<br> x + 2y - 4z=-1<br> y – 2z=0
MrRa [10]

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1  ....(1)

x + 2y - 4z = -1  ......(2)

y – 2z = 0  .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

6 0
3 years ago
Xanthe and Sarah do some fundraising for their local nursing home. Together they raised $$$302. If Xanthe raised $$$102 more tha
Dimas [21]

Given :

Xanthe and Sarah together raised $302 .

If Xanthe raised $102 more than Sarah .

To Find :

The amount raised by Sarah .

Solution :

Let , amount raise by Sarah is x .

So , by the relation given , price raised by Xanthe is 102 + x .

Now , sum of their amount raised is :

x+(x+102)=302\\\\2x=302-102\\\\x=\$100

Therefore , the amount raised by Sarah is $100 .

Hence , this is the required solution .

6 0
4 years ago
A ship travels 62.5 km in 1st hour of sailing. Starting from 2nd hour, the distance travelled per hour is x% of that in the prec
Bas_tet [7]
Speed of the ship in the second hour =  (62.5 * x ) / 100  kph.

In third hour it is  [(62 * x) / 100 ] * x/100]

is 4th hour its is the above * x/100 again  so we can now form the equation

62.5x      x          x
------- *   ----  *  ----    =  32
100      100      100

62,5 x^3 = 32,000,000
x^3 =  512,000
x = 80 <-----  Answer  to (a)

(b)  Ship travels 62.5 in first hour then  this falls by a common ratio of 0.8 each hour so we have a geometric sequence 

Dist travelled in 6 hours  =  a1  1 - r^n
                                                --------  = 62.5* (1 - 0.8^6) / 1 -0.8 = 230.56

                                               1 - r

Answer is    230.56 km 




5 0
3 years ago
What is the to m(3 +m)
ella [17]

Answer:

3m+m^2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the
Andrei [34K]

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the  number of hours she works.

She need to work to earn an  additional $260.

To find:

Number of hours she need to work to earn an  additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

A\propto t

A=kt     ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

54.60=k(6)

Divide both sides by 6.

\dfrac{54.60}{6}=k

9.1=k

Put k=9.1 in (i).

A=9.1t

Substitute A=260 in the above equation.

260=9.1t

Divide both sides by 9.1.

\dfrac{260}{9.1}=t

28.5714=t

t\approx 29

Therefore, she need to work extra about 29 hours to earn an  additional $260.

3 0
3 years ago
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