Jacob started that he solved the equation 2x+3=5 using addition and multiplication property of equality. Which statement is true?

A.Jacob added -3 to both sises and multiplied both sides by 1/2.
B.Jacob added -3 to both sises and multiplied both sides by 2.
C.acob added 3 to both sises and multiplied both sides by 1/2.
D.acob added 3 to both sises and multiplied both sides by 2.

Solution:

In order to be considered proportional , a line must pass through Origin.

Equation of any line passing through origin is given by:

 → y = k x,    k -= Slope of any line passing through origin.

[tex]\frac{y}{x}=k[/tex], Considering k as a proportionality constant.

Special Point = Origin (0,0)

Jaylan : Water/Juice=(3/4)/(1/5)=15/4

Wanchen : Water/Juice=(2/3)/(1/6)=4/1 or 16/4

Wanchen has a weaker lime flavor because there is more water in her mixture than Jaylan's limeade. Both have the same amount of lime juice (assuming ratio), and Wanchen has more water, making Wanchen have the limeade that has the weaker lime flavor.

Answer: There are 184 total number of CDs they own.

Step-by-step explanation:

Since we have given that

Ratio of rock music to total CDs that Ella Owens is

[tex]15:40\\\\=3:8[/tex]

Now, Number of rock music CDs Paolo has = 50

According to question, the ratio of rock music to total CDs in his collection is equivalent to the ratio of rock music to total music to total CDs in ours collection,

[tex]15:40=3:8[/tex]

Let the total number of CDs be x

So, our equation becomes,

[tex]\frac{3}{11}\times x=50\\\\x=\frac{50\times 11}{3}\\\\x=\frac{550}{3}\\\\x=183.34[/tex]

Hence, there are 184 total number of CDs they own.

Answer:

Second choice

Step-by-step explanation:

Multiply numerator by numerator and denominator by denominator

(2a+10)a

a^2(a^2+2a-15)

Cancel a from a^2

(2a+10)          

a(a^2+2a-15)

Factor: 5-3=2 and 5(-3)=-15. a^2+5a-3a-15=0. Group: a(a+5)-3(a+5)=(a-3)(a+5)

Factor: 2*a+2*5=2(a+5)

Cancel out (a+5)

2/(a(a-3))

Answer:405 meters apart. I think the m means meters, if it meant miles that would be incredible :)

Step-by-step explanation: 2.3 times 1.5 minutes is 90 seconds, so 2.3 times 90=207. 2.2 times 90 =198. 207+198=405

Answer:

x=8

Step-by-step explanation:

15+x = 23

Subtract 15 from each side

15-15 +x = 23-15

x = 8

Answer:

y=3x+2

Step-by-step explanation:

The total amount Zoe earned from babysitting is represented by the polynomial expression (x + 3) * (x - 2), which expands to [tex]x^2+x-6[/tex]

To find the total amount that Zoe earned, it is necessary to multiply the time she worked by how much she earned per hour. Zoe worked for x + 3 hours yesterday and earned x - 2 dollars per hour. Therefore, the polynomial expression to represent the total amount she earned is (x + 3) * (x - 2). This can be expanded by using the distributive property, to give the polynomial: [tex]x^2[/tex] + x - 6.

So, the amount Zoe earned can be represented by the polynomial expression [tex](x+3)*(x+2)[/tex]

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Answer:

25

Step-by-step explanation:

Since the triangle is equilateral, all the sides have the same measures.

You can set any two sides equal to each other, and solve for x.

4x-30 = 2x + 20

4x  = 2x + 50                add 30 to both sides

2x = 50                         subtract 2x from both sides

x = 25                            divide both sides by 2

You can plug x into the expressions and compare the sides to make sure its correct.

Answer:

B. 28 hours

Step-by-step explanation:

GIVEN :- Time taken by family to travel 600 km is 8 hours

CALCULATIONS :-

To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour

Distance traveled in 1 hour = 600 km ÷ 8

                                             = 75 km

Time required to travel 2100 km = 2100 ÷ 75

                                                        = 28 hours

Therefore time required to travel 2100 km is 28 hours.

Final answer:

The Rawlins family, traveling at a speed of 75 km/hour, will take a total of 28 hours

Explanation:

To determine the travel time for the remaining distance of the Rawlins family's journey, we use the formula

time = distance / speed. First, we need to find the family's speed during their trip. They have travelled 600 km in 8 hours, so their speed is

600 km / 8 hours = 75 km/hour.

Next, we calculate the time it would take to travel the total distance of 2100 km at this speed. So,

time = 2100 km / 75 km/hour. Upon performing the calculation, we get 28 hours. Therefore, if they continue at the same speed, the total travel time for the entire journey would be 28 hours.

Answer:

3 hours

Step-by-step explanation:

$50-$18=$32

$32/$10.50=3.04761904762--->3 hours

Answer: 22 cm

Step-by-step explanation:

Answer:

(-10, 0) and (0,-5)

Step-by-step explanation:

For the function [tex]f(x)=-\dfrac{1}{2}x-5,[/tex] find x-intercept and y-intercept:

1. when y=0, then

[tex]0=-\dfrac{1}{2}x-5,\\ \\\dfrac{1}{2}x=-5,\\ \\x=-10;[/tex]

2. when x=0, then

[tex]y=-\dfrac{1}{2}\cdot 0-5,\\ \\y=-5.[/tex]

You get two points (-10, 0) and (0,-5). Plot them on the coordinate plane and connect, obtained line is the graph of the linear function [tex]f(x)=-\dfrac{1}{2}x-5.[/tex]

Answer:

a² + 2ah + 3a + 3h + 5 + h²

Step-by-step explanation:

to evaluate f(a + h) substitute x = a + h into f(x)

f(a + h)

= (a + h)² + 3(a + h) + 5 ← distribute

= a² + 2ah + h² + 3a + 3h + 5

Answer:

8 guest rode in each suburban .

Step-by-step explanation:

As given

victoria invited 260 people to her quinceanera party.

76 guest rode in corvettes and the rest rode in 23 suburbans.

As 76 guest rode in corvettes .

Thus

Number of guest rode in  suburbans = 260 - 76

                                                             = 184 peoples

Let us assume that the number of guest rode in each suburban be x.

Total suburbans are 23.

Than the equation becomes

x × 23 = 184

[tex]x = \frac{184}{23}[/tex]

x = 8

Therefore 8 guest rode in each suburban .

Answer:

100

Step-by-step explanation:

I subtracted the 2 numbers

Answer:

900

Step-by-step explanation:

500 - (-400)=900

[tex]\text{If x and y are proportional, then the quotient of x and y is constant}\\\\\dfrac{y}{x}=const.=a\to y=ax\\\\x=3,\ y=18\to\dfrac{y}{x}=\dfrac{18}{3}=6\\\\\text{therefore}\ \boxed{y=6x}\\\\\text{Check:}[/tex]

[tex]x=0\to y=6(0)=0\\\\x=3\to y=6(3)=18\\\\x=8\to y=6(8)=48\\\\x=13\to y=6(13)78\\\\\boxed{y=6x}[/tex]

Answer:9 is the only one

Step-by-step explanation:

Answer:

i would say the last choice

The disadvantage of using cash as a payment method is the requirement to hand deliver all payments. This method is less convenient and secure compared to electronic payments, highlighting the shift towards a cashless society.

The question asked is, "Which is a disadvantage of using cash as a payment method?" The correct answer to this question is that one must hand deliver all payments when using cash. This is a significant disadvantage compared to electronic forms of payment. In our increasingly digital world, methods like credit cards, online banking, and mobile payment platforms like Apple Pay introduced in 2014 offer the convenience of making payments from virtually anywhere without the need to physically handle currency.

This shift towards a cashless society highlights the limitations of cash transactions, especially in terms of convenience and security. Moreover, in scenarios such as paying bills, shopping for large purchases, or conducting business transactions, the logistical challenges of using cash become even more apparent. Electronic payments, on the other hand, allow for easier transaction tracking and less physical risk, making them more appealing for both consumers and businesses.

57

95% is 19/20 as a fraction. 60/20 is 3. Multiply 19 by 3 to get 57. At least that how I do it. Hopefully this helped you.

Answer: 42 cookies/1 hour

Step-by-step explanation: Since Gretchen made 189 cookies in 4.5 hours, we set the equation up as 189/4.5. To get cookies per hour, we divide 189 by 4.5, which is 42/1. This means that Gretchen can make 42 cookies in 1 hour.

Answer:

7 minutes

Step-by-step explanation:

you have to set up a proportion

Answer:

24.

Step-by-step explanation:

So you need to fine 30% of 80.

I did the following method:

-Break it down, and do, 80 -/- 10 which is 8, now you have 10%, and you need to find 30, times your 10% by 3, so 24.

-Therefore, 24 out of 80 rides at the amusement park are water-related.

Hope this helps!

--Emilie Xx

By using the percentage given, we can calculate that there are 24 water-related rides at the amusement park out of the total 80 rides.

The question is asking how many of the total rides at the amusement park are water-related. This is a problem related to percentage. We know that 30% of the park's 80 rides are water-related. To find out the exact number, we multiply the total number of rides (80) by the percentage of water rides (30%), but since percentage is in terms of 100, we first convert the 30% to a decimal by dividing it by 100. This gives us 0.30. We then multiply 80 (the total number of rides) by 0.30.

Here's the calculation: 80 rides * 0.30 = 24 rides.

So, there are 24 water-related rides at the amusement park.

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Answer:

[tex]x=3.783[/tex]

Step-by-step explanation:

We are given equation of volume

[tex]V=x^3+6x^2[/tex]

now, we can are given

volume is 140 in^3

we can set 140

and then we can solve for x

[tex]x^3+6x^2=140[/tex]

so, we can draw graph of these two functions

[tex]y=x^3+6x^2[/tex]

[tex]y=140[/tex]

and then we can find intersection point

we can see that intersection point is (3.783,140)

so,

[tex]x=3.783[/tex]

Answer:

The length is 5 inches, the width is 2 inches, and the height is 14 inches.

Step-by-step explanation:

Answer: Option 'C' is correct.

Step-by-step explanation:

We need to find which has one dimension.

Since Point is undefined term with no size or dimension, but in two dimensional it is found in ordered pair i.e. (x,y)

Plane is also an undefined term with length and width but no thickness, so,  it is two dimensional.

Angle is undefined term formed by tow lines or rays diverging from a common vertex, so it is two-dimensional.

But Line is also undefined term with length only but there is no width or thickness.

So, Line has exactly one dimension.

Hence, Option 'C' is correct.

Answer:Sample Response: The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

Step-by-step explanation:

|-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line

The line passes through the points (-3,-5) and (9,-5)

That is, [tex]x_1=-3, y_1=-5, x_2=9, y_2=-5[/tex]

Since [tex]y_1=y_2=-5[/tex], the line is a horizontal line

For a horizontal line passing though the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_1)[/tex], the distance(D) between the two points is given as:

[tex]D=|x_1|+|x_2|\\\\ D=|-3|+|9|[/tex]

Therefore, |-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line

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Answer:

a = 35°; b = 50°; c = 85°; d = 30°

Step-by-step explanation:

a = 35° because a + 80 + 65 = 180.

b = 50° because b+ 35 + 95 = 180.

c = 85° because c + 95 = 180.

d = 30° because d + 85 + 65 = 180.

1. 800 divided by 4 equals 200.

2. 4 divided by 800 equals 0.005.

3. 440 divided by 24 equals 18 remainder 2, which can also be written as 18.2 as a decimal.

Each division problem is solved below:

1. 800 divided by 4:

To divide 800 by 4, you divide the dividend (800) by the divisor (4):

200

-------

4 | 800

- 8

---

0

Therefore, 800 divided by 4 equals 200.

2. 4 divided by 800:

To divide 4 by 800, you divide the dividend (4) by the divisor (800):

0.005

----------

800 | 4.000

- 0

-----

4.000

Therefore, 4 divided by 800 equals 0.005.

3. 440 divided by 24:

To divide 440 by 24, you divide the dividend (440) by the divisor (24):

18

------

24 | 440

- 24

------

20

- 18

------

2

Therefore, 440 divided by 24 equals 18 remainder 2, which can also be written as 18.2 as a decimal.

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Answer:

1:2

Step-by-step explanation:

She uses 1 cup of water and 2 cups of sugar so

1:2 or 1/2.