Jerry solved the system of equations.

x minus 3 y = 1 7 x + 2 y = 7.

As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7.
The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.
The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Answer:

They are similar because both triangles are the same. Triangle ABC is just smaller than triangle ADE.

Answer:

[tex]x=-4\pm2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]2x^2+16x-8=0\\\\x^2+8x-4=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-8\pm\sqrt{(8)^2-4(1)(-4)}}{2(1)}\\ \\x=\frac{-8\pm\sqrt{64+16}}{2}\\\\x=\frac{-8\pm\sqrt{80}}{2}\\ \\x=\frac{-8\pm4\sqrt{5}}{2}\\ \\x=-4\pm2\sqrt{5}[/tex]

Answer:

Total number of students= 5

Each ate = 2/3

Total amount eaten=?

Then,

2/3×5

=10/3

Hence 10/3 is the total amount eaten.

Answer:

Step-by-step explanation:

We need to solve in the most hard way.

Equation simplified:

Solve left to right:

If we solve this separately, starting with 2 1/4 * 4/5 without dividing 3/5, we would be doing it wrong.

If we do it like this, we would get the correct answer.

2 1/2 is the answer.

Answer: 5

Step-by-step explanation:

Experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.

Experimental Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event during the experiment.

Given information-

Total number of sections in a spinner is 3.

Total number of times the trials done is 80.

The three section table given in the problem has the values as,

The experimental probability of the arrow stopping over Section 1 has to be find out.

As the experimental probability of an event is the ratio of number of times it took place to the total trails. Thus the experimental probability of the arrow stopping over Section 1 is,

[tex]P=\dfrac{20}{80}\\P=\dfrac{1}{4}\\P=0.25[/tex]

Thus experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.

Learn more about the experimental probability here;

https://brainly.com/question/8652467

Answer:

figure it out your self stop having other people do your work for you

Step-by-step explanation:

Answer:

2/10= 0.2

10/2= 5

Is this what u are looking for?

Answer:

49

Step-by-step explanation:

I would add the tens place and ones place together. The tens place; is 30+10 (From the 3 and 1 in the tens place) and 5+4, which is 40+9, which is 49.

Answer:

I can't really tell my vision is probably blurry

Step-by-step explanation:

Answer:

How to find the mode

Step-by-step explanation:

First, put the numbers in order from lowest to highest. The number that shows up the most is the mode. The most common number is 5.

Your mode would be 5.

Good luck :)

Answer:

SLOPE IS = 2

Step-by-step explanation:

to find the slope you should remeber the slope equation:

[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex](x_{1} ,y_{1} )=(-4,-1)\\(x_{2} ,y_{2} )=(-3,1)[/tex]

[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\M=\frac{1-(-1)}{-3-(-4)}[/tex]

[tex]M=\frac{2}{1} \\M=2[/tex]

SLOPE IS =2

Answer:

∠2 = ∠5 (co-interior angles)

∠2 = 3x - 20

∠5 = x + 20

So,

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 40/2

x = 20

Hope it helps ⚜

Answer: 7 3/5 + 2 1/2 = 10 1/10

Step-by-step explanation:

Write the fractions to have like denominators to make it easier to add.

7 3/5 will become 7 6/10

2 1/2 will become 2 5/10

Rewrite them as improper fractions:

7 6/10 will become 76/10

2 5/10 will become 25/10

Now add.

76/10+25/10=101/10

Rewrite the sum as a mixed number

101/10 will become 10 1/10

Answer:

[tex]cos(\theta)=\frac{\sqrt{11}}{6}[/tex]

Step-by-step explanation:

hope this helps :)

Answer: 135 minutes

Step-by-step explanation:

45/7= 6.42857142857

6.42857142857 x 21 = 135

Answer:

41.6

Step-by-step explanation:

54 * 32 = 1728

square root of 1728 is 41.6

Hope this helps!

Answer:

179

Step-by-step explanation:

- 24 × - 8 -13

(- 24 × - 8) - 13

192 - 13

  179

Hope this helps!

30

factors of 6: 6 12 18 24 30

factors of 5: 5 10 15 20 25 30

so its 30

or simply multiple the denominators 6×5=30

Answer:

Solving an Inverse Variation Problem

-Write the variation equation: y = k/x or k = xy.

-Substitute in for the given values and find the value of k.

-Rewrite the variation equation: y = k/x with the known value of k.

-Substitute the remaining values and find the unknown.

Step-by-step explanation:

yeah

Answer:

i) Area = 25 m²

ii) slope of roof = 36.87°

Step-by-step explanation:

(i)  Let the midpoint of AB = M

Find BC by using Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of a right triangle)

Legs = MB and MC, hypotenuse = BC

⇒ 1.5² + 2² = BC²

⇒ 6.25 = BC²

⇒ BC = √(6.25) = 2.5

Area of a rectangle = width x length = BC x BE

⇒ area of BCFE = 2.5 x 5 = 12.5

⇒ area of ACFD = area of BCFE = 12.5

Therefore area covered by tiles = 12.5 + 12.5 = 25 m²

ii)

The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.

Using sin(A)/a = sin(B)/b = sin(C)/c

sin(90)/2.5 = sin(B)/1.5

0.4 = sin(B)/1.5

0.6 = sin(B)

∠B = 36.87°

Answer:

12/30

Step-by-step explanation:

See the picture and let me know if you have any questions

Answer:

Jack ran 1/4 of a mile.

Step-by-step explanation:

Step-by-step explanation:

jack ran 1/4 of a mile more than jack did

Hi!

"The quotient of" means you divide, so the quotient of 20 and x means you divide 20 by x:

20:x

Now, increase by 7:

(20:x)+7 (Answer)

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts :)

❖Sparkles❖ here to help

 [tex]\dfrac{20}{x} +7[/tex]

Quotient is defined as when divide one number by another, the result is called the quotient.

The quotient of 20 and x, increased by seven

The following are possible interpretations of the given expression.

[tex]\dfrac{20}{x} +7[/tex]

Here, "quotient" is the answer to a division.

Learn more about quotient here:

https://brainly.com/question/27796160

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