Solve one-step and two-step equations: word problems

Answer:

x = -5

y = 6

Step-by-step explanation:

3x + 7y = 27      --------------(I)

-3x + y = 21        -----------(II)

Add equation (I) & (II) and so x will be eliminated and we can find the value of y.

(I)      3x + 7y = 27    

(II)     -3x + y = 21        {add}

                8y = 48

                   y = 48/8

                   y = 6

Plugin y = 6 in equation (I)

3x +7*6 = 27

3x + 42 = 27

       3x = 27 - 42

       3x = -15

         x = -15/3

x = -5

120% of 65 is 78.

This means that 120 times what equals 78.

120*65=78

Answer:

65

Step-by-step explanation:

The weight of 20 buckets is 141 Kg.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

weight of 1 bucket of gravel = 7.05

weight of 20 buckets = 7.05 x 20

                                    = 141 Kg

Hence, the weight of 20 buckets is 141 Kg.

Learn more about unitary method here:

https://brainly.com/question/22056199

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Answer:

y =  3x - 1

Step-by-step explanation:

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

Answer:

y=3x+4

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

Y-y/x-x = 1-6/0-2 = -5/-2 = 5/2

Answer:

Electrons are atoms that are magnetic.

Step-by-step explanation:

Answer:

Electrons are atoms that are magnetic

Answer:

It is an even function.

f(t) = 2 cos πt

Thank you and please rate me as brainliest as it will help me to level up

Answer:

I think its odd as I guess.

Answer:

1.2 I think sorry if I'm wrong double check to see

Step-by-step explanation:

This is what I thought of oof so sorry if it incorrect

Answer:

C. no solution

Step-by-step explanation:

Answer:

x = 2.825

Step-by-step explanation:

-4.3(6.3x + -4.18) = -58.56

-4.3(-4.18 + 6.3x) = -58.56

(-4.18 * -4.3 + 6.3x * -4.3) = -58.56

(17.974 + -27.09x) = -58.56

17.974 + -27.09x = -58.56

17.974 + -17.974 + -27.09x = -58.56 + -17.974

0.000 + -27.09x = -58.56 + -17.974

-27.09x = -58.56 + -17.974

-27.09x = -76.534

x = 2.825175341

Answer:

70!

Step-by-step explanation:

Answer:

calculator says 70, so yeah.

Step-by-step explanation:

Answer:

0, -4

2,0

-4,0

-2,-8

Step-by-step explanation:

I chose the points that were most visable

Answer:

y=10/4-7

Step-by-step explanation:

Answer:

the Answer to this question is 34.87

Step-by-step explanation:

I hope this helps :)

Answer:

651,000,000

Step-by-step explanation:

Answer:

651,000,000

I think u knew this already tho :)

Answer:

John sold 8 funnel cakes in 1 hour

Step-by-step explanation:

Hope I helped

Answer:

An average of 8 funnel cakes an hour

Step-by-step explanation:

40/5=8 but we don't know if he sold the same amount every hour.

Answer:

there is an  infinet amount of answers.

Step-by-step explanation:

Answer:

50 hours

Step-by-step explanation:

if it takes 5 hours for 2 inches to fall, then you multiply 2 by ten to get 20, you do the same thing to the other half of the equation, or five, to get 50 hours.

Answer:

11÷132= 0.0833333333

but i think u wanted this answer

132÷11= 12

Answer:

7. (2,1) 8. (8,2)

Step-by-step explanation:

Step: Substitute4z−7foryin5y+3z=11:

5y+3z=11

5(4z−7)+3z=11

23z−35=11(Simplify both sides of the equation)

23z−35+35=11+35(Add 35 to both sides)

23z=46 Divide both sides by 23

x=2

Substitute2forxiny=4z−7:

y=4z−7

y=(4)(2)−7

y=1

Step: Solve2x+4y=24for x:

2x+4y+−4y=24+−4y(Add -4y to both sides)

2x=−4y+24

x=−2y+12

−2y+12forxin−2x+8y=0:

−2x+8y=0

−2(−2y+12)+8y=0

12y−24=0(Simplify both sides of the equation)

12y−24+24=0+24(Add 24 to both sides)

12y=24 Divide both sides by 12

y=2

Substitute2foryinx=−2y+12:

x=−2y+12

x=(−2)(2)+12

x=8

Answer:

D

Step-by-step explanation:

x and y go up at a constant rate (or you can say it has a CROC or constant rate of chacge) y going up 5 for every one x

with our equation being y = 5x + 5

hope this helps <3

Answer:

Step-by-step explanation:

It would be D because to know if its linear, x has to increase by 1 and y by a constant rate.

X increases by 1 and y increases by 5

I've attached a graph for you to see

If you have any further questions, don't be afraid to reach out! I hope this helps!

Answer:

Oh I see, that’s weird

Step-by-step explanation:

Maybe you have to wait a while or wait for somebody else to answer because that’s what happens to me sometimes

Answer:

56

Step-by-step explanation:

457+77

=534-478

= 56

Answer:

The question?

Step-by-step explanation:

we need question to answer

Answer:

b = 15.2 m

h = 13.2 m

Step-by-step explanation:

The area of a right triangle is given by:

[tex] A = \frac{bh}{2} [/tex]    (1)

Where:

b: is the base

h: is the height

If the base is 2 meters greater than the height we have:

[tex]b = h + 2[/tex]   (2)

And if the area of the triangle is 100 m², the dimensions of the base can be found by entering equation (2) into (1):

[tex]100 m^{2} = \frac{(h + 2)*h}{2}[/tex]

[tex] 200 m^{2} = h^{2} + 2h [/tex]      

[tex] h^{2} + 2h - 200 m^{2} = 0 [/tex]  

By solving the above quadratic equation we have:

[tex] h = 13.2 m [/tex]

And by entering the above value into equation (2) we have:

[tex]b = 13.2 + 2 m = 15.2 m[/tex]

Therefore, the dimensions of the base and the height are 15.2 m and 13.2 m respectively.

I hope it helps you!