Question 3
On problem #10, which variable will be the easiest to isolate in order to solve the system using
substitution?
A: x, in the top equation
B: y. in the top equation
C: x, in the bottom equation
D: y, in the bottom equation

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

Answer:

A

You  are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)

If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer

D is the same like B

Choice C is just the whole of x-y plane  so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2

Solution :

Ordering numbers means we have to arrange the numbers in ascending order or in a descending order i.e. from small value to big or from big value to small value.

The order of the positive numbers is same as the order of the absolute values and their order of the negative numbers are opposite to the order of their absolute values.

In the context, if Micah is having numbers 1, 2, 3, 4, 5, then the order of the absolute values of the numbers would be 1, 2, 3, 4, 5. Similarly, if Joe is having numbers -5, -4, -3, -2, -1, then the order of their absolute value will be also 1, 2, 3, 4, 5.

And if Micah have the numbers -5, -3, -1, 2, 4, then the absolute values of his numbers is 1, 2, 3, 4, 5. Also if Joe have numbers as -4, -2, 1, 3, 5, then his order of absolute values is also 1, 2, 3, 4, 5.

Answer:

Step-by-step explanation:

Step one:

given data

let the total coins be x

we are given that 75% of x= 24

Step two:

Mathematically we have

75/100*x= 24

0.75x=24

divide both sides by 0.75

x=24/0.75

x=32coins

Hence the total coins is 32

Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.

Answer:

Step-by-step explanation:

Divide: 1

3 : 14 = 13 · 4 1 = 1 · 4 3 · 1 = 43

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1

4 is 4 1

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one third divided by one quarter = four thirds.

Answer: 7

Step-by-step explanation:

3+6^(2) / 9

3 + 36 / 9

3   +   4

    7

Answer:

How many diet sodas there are in the fridge compared to how many regular sodas?

Step-by-step explanation:

A ratio is a comparison of two quantities. You could represent how many diet sodas there compared to how many regular sodas as a ratio.

I think you were trying to ask about the Flocabulary question, right?

I had it too and got it correct.

Answer:

[tex]4x + 42 = 3[/tex]

Step-by-step explanation:

Given:

[tex]\frac{2}{3}x + 7 = \frac{1}{2}[/tex]

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

[tex]2 = 2,4,6,8,10,..[/tex]

[tex]3 = 3,6,9,12..[/tex]

So, 6 is the least common multiple.

Multiply both sides by 6

[tex]6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6[/tex]

[tex]6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6[/tex]

[tex]\frac{12}{3}x + 42 = \frac{6}{2}[/tex]

[tex]4x + 42 = 3[/tex]

Hence, an equivalent expression.

6/7 - 1/2 equals 5/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

To subtract fractions with unlike denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by following these steps:

Find the LCM of the denominators: In this case, the denominators are 7 and 2. The LCM of 7 and 2 is 14.

Rewrite the fractions with the common denominator: To rewrite 6/7 and 1/2 with a common denominator of 14, you need to multiply both the numerator and denominator of each fraction by a suitable factor. For 6/7, you would multiply both numerator and denominator by 2 to get 12/14. For 1/2, you would multiply both numerator and denominator by 7 to get 7/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

Therefore, 6/7 - 1/2 equals 5/14.

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Answer:

Inequality: [tex]\frac{x}{2} \leq 3[/tex]

Solved: [tex]x\leq 6[/tex]

Step-by-step explanation:

[tex]\frac{x}{2} \leq 3[/tex]

[tex]x\leq 6[/tex]

Answer:

∠1=∠88(Vertically Opposite angles are equal)

∠8=∠88(corresponding angles are equal)

∠3=∠88(alternate interior angles are equal

Angles ∠1, ∠3 and ∠8 are equal to 88°.

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Angle 1 and 88 are the vertically opposite angle, so they are equal

∠1 = 88°

Angle 1 and angle 3 are corresponding angle, so they are equal

∠1 = ∠3 = 88°

Angle 3 and 8 angle are vertically opposite angle, so they are equal

∠3 =∠8  = 88°

Therefore, ∠1 = ∠3 = ∠8  = 88°

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Answer:

5 hot dogs packs at least and 4 buns packs at least

Step-by-step explanation:

Answer:

ARITHMATICKS

Step-by-step explanation:

1. 139=M

2. 25=I

3. 30=T

4. 46=K

5. 516=R

6. 48=C

7. 78=S

8. 10=A

9. 39=H

Hope this helps! If you need equations, please tell me.

Answer:

Meg thee Stallion would need to borrow 4 shelves from Cardi B

Answer:

4 shelves

Step-by-step explanation:

you can do 32 divided by 8 which gives you 4 or keep adding 8 until you get 32 and count how many times you had to add.

Answer:

i think its C

Step-by-step explanation:

Answer:

it's 20

.......: )...…...

Answer:

Yes it is a function if the jersey numbers are the same as their age and they are all different ages.

Step-by-step explanation:

Answer:

-3 ( D )

Step-by-step explanation:

Logarithm base 3 of 1/27 is -3.

Answer:

16

Step-by-step explanation:

x=16 because the Sides length and the degrees of the angle colide and show that x=16

Greetings.

A line goes through (-1,0) and (-1,1).

~ Theory ~

If both x-term for both ordered pairs have same value. The slope for line graph is undefined.

~ Proof ~

Using Rise/Run

[tex]m = \frac{1 - 0}{ - 1 - ( - 1)} \\ m = \frac{1}{ - 1 + 1} \\ m = \frac{1}{0} [/tex]

Because the denominator is 0, therefore, the slope is undefined.

Because from rise/run. We put the x-term to subtract another x-term. And if both x-terms have same value. It will give the run/denominator = 0.

Therefore the answer is a. Undefined

Answer:

I think the answer would be letter a

Step-by-step explanation:

Have a great day, hope I helped

Answer:

Step-by-step explanation:

The length of the midsegment is  half of the base in this case.

12x = 8x + 40

4x=40

x=10

So it's 60

Answer:

60

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

9n = [tex]\frac{15}{7}[/tex] - 2 ( multiply through by 7 to clear the fraction )

63n = 15 - 14 = 1 ( divide both sides by 63 )

n = [tex]\frac{1}{63}[/tex]

(b)

[tex]\frac{1}{3}[/tex] = k - 4 ( multiply through by 3 to clear the fraction )

1 = 3k - 12 ( add 12 to both sides )

13 = 3k ( divide both sides by 3 )

[tex]\frac{13}{3}[/tex] = k

(c)

g - [tex]\frac{2}{5}[/tex] g = 3 ( multiply through by 5 to clear the fraction )

5g - 2g = 15

3g = 15 ( divide both sides by 3 )

g = 5

(d)

[tex]\frac{3}{7}[/tex] w + 2w = 3 ( multiply through by 7 to clear the fraction )

3w + 14w = 21

17w = 21 ( divide both sides by 17 )

w = [tex]\frac{21}{17}[/tex]

Step-by-step explanation:

You're sure?

But I thought that for calculating distance

Answer:

false

Step-by-step explanation:

I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.

I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.

Answer:

About 50% percent

Step-by-step explanation:

20 is 50 percent of 40, so 21 is about 50 percent (52.5 %)

~theLocoCoco

Answer:

52.5%

Step-by-step explanation:

21/40 = 52.5/100

52.5/100= 52.5%

im not sure but you can try :<

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.

Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6