-k/3 = 9
answer = ??

Answer:

The system of equations has one solution. The equations have different slopes, so the lines intersect at one point.

If a system of equations have the same slope, then the lines will run parallel to each other and never cross, leading to no solution being possible. Or if they have the same slope and same y-intercept (therefore being equations for the same line), they will have an infinite number of solutions.

Step-by-step explanation:

The solution to a system of equations is the point where the lines intersect. Looking at this question if we remember the slope-intercept form y=mx+b where m is slope and b is the y-intercept. We can see m=1 for the first equation and m=2 for the second equation. Anytime two equations have different slopes it is guaranteed they will intersect at some point leading to one solution.

Answer:

the simple interest in both cases is 200 and 756 respectively

Step-by-step explanation:

The computation of the simple interest is shown below:

As we know that

Simple interest = P × r% × t

So

a. Simple interest is

= 2,500 × 8% × 1

= 200

b. The simple interest is

= 4,200 × 6% × 3

= 756

Hence, the simple interest in both cases is 200 and 756 respectively

Answer:

Answer:

x=1

Step-by-step explanation:

Just look at the x axis and see where the coordinate lands on and it's 1

Answer:

140 minutes

Step-by-step explanation:

Using m = (y₂ - y₁)/(x₂ - x₁) , we find the rate at which Snail A moves which is also the gradient of the line with which it moves. Given that Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes, x₁ = 10 min, y₁ = 12.5 inches, x₂ = 24 min and y₂ = 16 inches.

So, m = (y₂ - y₁)/(x₂ - x₁)

m = (16 - 12.5)/(24 - 10) = 3.5/14 = 0.25

Also, the equation of the line,

(y - y₁)/(x - x₁) = m

(y - 12.5)/(x - 10) = 0.25

cross-multiplying, we have

y - 12.5 = 0.25(x - 10)

expanding the bracket, we have

y - 12.5 = 0.25x - 2.5

adding 12.5 to both sides, we have

y - 12.5 + 12.5 = 0.25x - 2.5 + 12.5

y = 0.25x + 10

Since Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds, its distance y moved is y = 0.3t + 3

We now find the time x it takes the snails to cover the same distance by equating both expressions. So,

0.25x + 10 = 0.3x + 3

collecting like terms, we have

10 - 3 = 0.3x - 0.25x

7 = 0.05x

0.05x = 7

x = 7/0.05

x = 140 minutes

Answer:

The rate of percent is 5%

Step-by-step explanation:

Answer: 15

Step-by-step explanation: All the information you need is a=3

5a is the same as saying 5xa or 5x3, so there you have it- 15

Hope this helps <3

Answer:

$4.94

Step-by-step explanation:

$7.69-2.75

=$4.94

Answer and Step-by-step explanation:

AB = DC = 2x

AD = BC = 4y - 6 = 3x

180 = 2x + 2x + 3x + 3x = 10x

18 = x

4y - 6 = 3(18)

4y = 54 + 6

4y = 60

y = 15

18 = x

15 = y

2(18) + (4(15) - 6) + 3(18) + 2(18) = 36 + 36 + 54 + 54 =  180

#teamtrees #PAW (Plant And Water)

Answer:

1. 103

2. 67

3. 15

4. 44

Step-by-step explanation:

subtracting the sum of two given angles from 180.

Step-by-step explanation:

Sum of interior angles is always 180.

5) x + 40 + 37 = 180

x + 77 = 180

x = 180 - 77

x = 103

6) x + 41 + 72 = 180

x + 113 = 180

x = 180 - 113

x = 67

7) x + 137 + 28 = 180

x + 165 = 180

x = 180 - 165

x = 15

8) x + 84 + 52 = 180

x + 136 = 180

x = 180 - 136

x = 44

Step-by-step explanation:

mass= 5.2. velocity =2.4

thus, 1/2 × 5.2×2.4×2.4

mass=5.2. height=5.8 g=9.8

=5.2×5.8×9.8

= 295.5+14.97

hope it helps :)

Question:

Carlos mixed [tex]\dfrac4{15}\text{ L}[/tex] of chocolate syrup with [tex]\dfrac12\text{ L}[/tex] of milk. Determine a reasonable estimate of the total amount of liquid Carlos mixed

Answer:

0.8 liters of liquid

Step-by-step explanation:

Given

[tex]Chocolate:= \dfrac4{15}\text{ L}[/tex]

[tex]Milk:= \dfrac12\text{ L}[/tex]

Required

An estimate of the total liquid

First, we get the actual total liquid.

[tex]Total = Chocolate + Milk[/tex]

[tex]Total =\dfrac4{15}\text{ L} + \dfrac12\text{ L}[/tex]

Take LCM

[tex]Total =\dfrac{8 + 15}{30}\text{ L}[/tex]

[tex]Total =\dfrac{23}{30}\text{ L}[/tex]

Express as decimal

[tex]Total ={0.7666}\text{ L}[/tex]

Estimate [Approximate]

[tex]Total ={0.8}\text{ L}[/tex]

Answer:

about 3/4

Step-by-step explanation:

start fraction, 3, divided by, 4, end fraction, start text, space, L, end text

Hint #11 / 5

We can make an estimate by picturing each fraction:

A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half.  The first part is shaded.

A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded.

Hint #22 / 5

To find the total amount of chocolate milk, we need to add \greenD{\dfrac{4}{15}}

15

4

​

start color #1fab54, start fraction, 4, divided by, 15, end fraction, end color #1fab54 and \purpleD{\dfrac12}

2

1

​

start color #7854ab, start fraction, 1, divided by, 2, end fraction, end color #7854ab.

A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half.  The first part is shaded. Below the tapes, a curved bracket across the tapes is labeled 1.

A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded. Below the tapes, a curved bracket across the tapes is labeled 1.

Hint #33 / 5

We can compare our sum to benchmarks like {\dfrac12}

2

1

​

start fraction, 1, divided by, 2, end fraction and 111:

A number line labeled 0 to 1 with tick marks every one-half unit. A tape diagram is above the number line from the tick mark at 0 to the tick mark at 1. The tape diagram is divided into 6 unequal parts. The first 4 parts are equal in size, shaded, and each labeled one-fifteenth. The next part is shaded and labeled one-half. The sixth part is not shaded and not labeled. Together, the five shaded parts of the tape diagram are from the tick mark at zero to an approximate halfway point between the tick mark at one-half and the tick mark at one of the number line.

A number line labeled 0 to 1 with tick marks every one-half unit. A tape diagram is above the number line from the tick mark at 0 to the tick mark at 1. The tape diagram is divided into 6 unequal parts. The first 4 parts are equal in size, shaded, and each labeled one-fifteenth. The next part is shaded and labeled one-half. The sixth part is not shaded and not labeled. Together, the five shaded parts of the tape diagram are from the tick mark at zero to an approximate halfway point between the tick mark at one-half and the tick mark at one of the number lines.

Hint #44 / 5

Our sum is more than

2

1

​

start fraction, 1, divided by, 2, end fraction but less than 111.

Answer:

first get the total ratio; 2 + 5 = 7

so the fraction of blue marbles is 5/7

then assume the number of total marbles to be k

then use the expression;

5/7*k = 65

7*5/7 * k = 65*7

5k =455

5/5k = 455/5

k = 91

then calculate the number if red marbles from;

x = 2/7*91

x = 26

Therefore there are 26 red marbles.

Answer:

Peanuts

Step-by-step explanation:

Johan bought 4/6 pounds of peanuts and 2/6 pounds of walnuts.

The obvious answer is Johan bought more peanuts.

c = 20 × 5

c = 100

and that's all

Answer:

Step-by-step explanation:

Answer:

c i know just took it

Step-by-step explanation:

Answer:

C) -1(x+8)(x+7)

Step-by-step explanation:

[tex]-x^{2} -15x-56\\-1(x^{2} +15x+56)\\-1(x+8)(x+7)[/tex]

-1 factors through the entire equation.

8+ 7 = 15 and 8 x 7 = 56 (so 8 and 7 are our factors.)

For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)

Hey Hey! It's me again!

Answer:

The variable u divided by the variable x.

Answer:

oh, well, sorry

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Slope is rise over run.

Answer:

£48

Step-by-step explanation:

I=Prt

I=(800)(0.02)(3)

I = 48

Answer:

the simple interest earned was £48.

Step-by-step explanation:

the appropriate simple interest formula is i = prt, where r is the annual interest rate as a decimal fraction.  Here, with prt = (£800)(0.02)(3 yr), we find that the simple interest earned was £48.

Answer:

Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.

Does that make sense?

Step-by-step explanation:

Answer:

the positive of 65 milion is 65 million and the negitive iis -65 mil i think

Step-by-step explanation:

Answer:

6.5*10^7

Step-by-step explanation:

65,000,000 and came up with the answer 6.5*10^7.

Answer:

a trend line can be used to make predictions in real-world situations (the third option)

Explanation:

the first & second options are wrong because it is not a requirement for a trend line to pass through any given data point.

the fourth option is wrong because a trend line shows the general upward/downward trend of the data, and may not necessarily touch all of the data points.

the third option is correct because a trend line helps to roughly estimate the trend (hence the name) of the graph, which allows us to make predictions in real-world situations.

i hope this helps! :D

Answer:

C just took the test edge 2020

Step-by-step explanation:

Given:

Dividend = [tex]9x^3+18x^2+20x+16[/tex]

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

To find:

The quotient and remainder by using the long division method.

Solution:

Using the long division method, divide the polynomial [tex]9x^3+18x^2+20x+16[/tex] by [tex]3x+4[/tex] as shown below:

[tex]3x+4 |\overline{9x^3+18x^2+20x+16}|3x^2+2x+4\\[/tex]

         [tex]9x^3+12x^2\\\underline{(-)\quad (-)\quad \quad \quad}[/tex]

             [tex]0+6x^2+20x[/tex]

                   [tex]6x^2+8x\\\underline{(-)\quad (-)\quad \quad \quad}[/tex]

                       [tex]0+12x+16[/tex]  

                             [tex]12x+8\\\underline{(-)\quad (-)}[/tex]

                                     [tex]\underline{\quad 0\quad}[/tex]

Therefore, the quotient is [tex]3x^2+2x+4[/tex] and the remainder is 0.