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Vlad1618 [11]
3 years ago
9

W + 1 = d and d = 3w solve by substitution

Mathematics
2 answers:
STALIN [3.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

Given

w + 1 = d...........equation 1

d = 3w ...............equation 2

Now putting d = 3w in equation 1

w + 1 = 3w

3w - w = 1

2w = 1

w = 1 / 2

putting w = 1 / 2 in equation 2

d = 1 / 2 * 3

 = 3/2

Hope it helps :)

Gwar [14]3 years ago
7 0

Step-by-step explanation:

d = 3w

so... if we substitute value of d in eqn 1 then

w + 1 = 3w

or, 3w - w =1

w = 1/2

now..

d = 3* (1/2)

d= 3/2 ans..

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Can someone plz help me
Colt1911 [192]

Answer:

x is less than or equal to negative 14.

Step-by-step explanation:

so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side

remove 5 from each side

-x/3=1/3-5

-x/3=14/3

multiply both sides by 3

-x=14

x=-14

so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14

4 0
3 years ago
What is the x-coordinate of the solution to the following system of equations?
tatyana61 [14]

Answer

X-2y = 2

3x + y = 6

Ox=-2

Ox=0

Ox=2

Ox=3

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Step-by-step explanation:

easy

8 0
3 years ago
Substitution for:<br> X-5y=10<br> 2x-10y=20
sergey [27]
Since you need an isolated variable to use the substitution method, we need to re-arrange one of the equations. This will probably be easiest to do with the first one.
Add 5y to both sides of the first equation.
x=10+5y
Now, in the second equation, put in 10+5y in any spot that has an x.
2(10+5y)-10y=20
Distribute the 2 to both numbers in the parenthesis.
20+10y-10y=20
Combine like terms.
20=20
This means that the two equations are actually the same. You can see this if you multiply the whole first equation by 2
2(x-5y=10)
2x-10y=20, which is the same as the second equation. Therefore, the two equations are actually the same one.
5 0
3 years ago
After the booster club sold 40 hotdogs at a football game, it had 90$ in profit. After the next game, it had sold a total of 80
sergiy2304 [10]
Let's first establish what we already know for this problem.

x = total number of hotdogs sold
y = total profit from total sales of hotdogs

Let's also establish the other equations which we will require in order to solve this problem.

Equation No. 1 -
Profit for 40 hotdogs = $90 profit

Equation No. 2 -
Profit for 80 hotdogs = $210 profit

STEP-BY-STEP SOLUTION

From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:

Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:

Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40

Now, make b the subject in the second equation as displayed below:

Equation No. 2 -
y = mx + b
210 = m ( 80 ) + b
210 = 80m + b
b = 210 - 80m

Then, substitute m from the first equation into the second equation.

Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
b = 210 - 2 ( 90 - b )
b = 210 - 180 - 2b
b - 2b = 30
- b = 30
b = - 30

Now, substitute b from the second equation into the first equation.

Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
m = 120 / 40
m = 3

Through this, we have established that:

m = 3
b = - 30

Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:

y = mx + b
y = ( 3 )x + ( - 30 )

ANSWER:
y = 3x - 30
3 0
3 years ago
Please help and thanks!
Leokris [45]

Answer:    D: 17.3

Step-by-step explanation:

I believe its D because the house and the ground is a 90 degree angle, and at 60 degree angle is a 20 foot ladder. alright then 90 plus 60 = 150 degrees.

then add the twenty foot ladder with each choice for the answer:

A: 20 + 6.1 = 26.1

B: 20 + 10.0 = 30

C: 20 + 14.1 = 34.1

D: 20 + 17.3 = 37.3

The answer would be D because it is the closer number to 150. Because it says " which is the closest height up the house the ladder reaches?" The answer is D the closest number. I HOPE THIS HELPS YOU! =D

4 0
2 years ago
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