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zlopas [31]
3 years ago
14

113

Mathematics
1 answer:
ikadub [295]3 years ago
5 0
Answer: 34 years old
Let x be the age of Joseph and y the age of Angeles
x-y = 5
x + y = 63
Adding the equations
2x = 5+63=68
x = 34
Substitute x in the first eq.
Angeles is 29 years old
In years she will be 34
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Toan is building tables for the park Department. He needs 20 bolts for each table. If he has 60 bolts at his workplace and he ge
vodomira [7]
Roam can build 18 tables 300 plus the 60 he already had and then you divide it by 20 since that’s how much he needs for 1 table which means he can make 18 after dividing
5 0
3 years ago
Make N the subject of formula<br><img src="https://tex.z-dn.net/?f=P%20%3D%20N%20%2B%20%5Cfrac%7B2%7D%7BD%7D%20" id="TexFormula1
valina [46]

Step-by-step explanation:

p=n+ 2/d

Multiply both sides of the equation by d.

pd=dn+2

Swap sides so that all variable terms are on the left hand side.

dn+2=pd

Subtract 2 from both sides.

dn=pd−2

The equation is in standard form.

dn=dp−2

Divide both sides by d.

dn = dp−2/d

Dividing by d undoes the multiplication by d.

n= dp−2/d

Divide pd−2 by d.

n=(p−2)/d

3 0
3 years ago
What is the length of the segment whose endpoints are A(-4, 3) and B (10, 6)?
nlexa [21]
Apply Pythagoras:

length = sqrt( (10--4)² + (6-3)² ) = sqrt(205)
7 0
3 years ago
Read 2 more answers
What is the determinant of ?<br> –30<br> –4<br> 30<br> 60
muminat

Answer:

the answer is 30. on edgenuity option C.

Step-by-step explanation:

8 0
3 years ago
(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y
a_sh-v [17]

Answer:

The equation of the line is y=45.25t+545

Step-by-step explanation:

The general for of a line is:

y=mt+n       (1)

where:

m is the slope of the line and m is the intercept with the axis of the dependent variable, y in this case.

In order to obtain the value of the slope (m) we can use the corresponding slope formula:

m=\frac{y_{2}-y_1 }{t_2-t_1}         (2)

where t_1, t_2, y_1 and y_2 are the corresponding coordinates of the given points. In this case:

t_1=0\\t_2=4\\y_1=545\\y_2=726\\

Substituting these values in equation (2) we obtain:

m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25

Hence, the line equation is now:

y=45.25t+n     (3)

Now to obtain the value of n you can follow two options:

  1. You can substitute one of your points, A or B, in equation (3). In this way, you will obtain an equation where the variable is n

Note that for this question, it is easier to select point A because of having the independent variable equals to zero t=0. Hence, substituting point A in equation (3):

45.25*0+n=545\\n=545

Therefore, the line equation is: y=45.25t+545

The second option to find n is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that n is equal to 545.

See the attachment for a plot of the line.

7 0
3 years ago
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