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maria [59]
3 years ago
13

X-4=10;4x+1=57i need to change the first equation into to the second equation.

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Is this what you mean this is what i understood.



X-4=10;4x+1=57


First equation solve for x.

X-4=10

Add 4 both sides

X=10+4


X=14

Second equation substitute your x answer into second equation to make both sides equal.

4x+1=57

4(14)+1=57

56+1=57

57=57

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Evan invested $800 in an account that pays 3.25% interest compounded annually.
Aleksandr [31]

Answer:

Evans would have $852.8

Step-by-step explanation:

Given

PV = \$800

r = 3.25\%

t = 2

n = 1 --- annually'

Required

The future value

This is calculated using:

FV = PV*(1 + \frac{r}{n})^{nt

So, we have:

FV = 800 * (1 + 3.25\%/1)^{2*1}

FV = 800 * (1 + 3.25\%)^{2}

FV = 800 * (1 + 0.0325)^{2}

FV = 800 * (1 .0325)^2

FV = 852.845

FV = 852.8

FV =

8 0
3 years ago
Which scenarios can be represented by a ratio of 4 : 5 ?
KonstantinChe [14]

Answer:

There are many scenario's.

Step-by-step explanation:

1.4:5

2.4/5

3.4÷5

5 0
2 years ago
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Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption
nataly862011 [7]


the 5th hour there would be 4 puppies available for adoption

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7 0
3 years ago
Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2? ​
Irina18 [472]

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

slope(m) = (y2 - y1) / (x2- x1)

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

6 0
3 years ago
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