Find the coordinates of the point which divides the join of (-1,7) and (4.-3) in the ratio 2:3 ??

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Answer:

c

Step-by-step explanation:

add all the three numbers then divid by 3

Answer:

a=108

b=90

c=120

d=42

e=135

f=15

g=60

h=45

i=75

j=60

Step-by-step explanation:

Answer:

Clara's number is 42 less than Anna's number

Step-by-step explanation:

We can start this problem out by setting our variables up:

A= Anna's number

B= Boris's number

C= Clara's number

so we can use them to build our equations. We can sepparate the problem into little more understandable pieces of information, let's start with the first piece of information:

- "Ana's number increased by 20"

A+20

- "boris's number decreased by 22"

B-22

- "21 greater than boris's number decreased by 22."

(B-22)+21

- "Ana's number increased by 20 is 21 greater than boris's number decreased by 22."

A+20=(B-22)+21

This is our first important equation here. Let's go with the second part of the problem:

- "Boris's number decreased by 20"

B-20

- "claras number increased by 22"

C+22

- "21 greater than claras number increased by 22"

(C+22)+21

Now the whole thing:

"Boris's number decreased by 20 is 21 greater than claras number increased by 22."

B-20=(C+22)+21

This is our second important equation.

So now we have the following system of equations:

A+20=(B-22)+21

B-20=(C+22)+21

We can now simplify the equations by combining like terms so we get:

Equation 1:

A+20=(B-22)+21

we can get rid of the parenthesis so we get:

A+20=B-22+21

We can subtract a 20 from both sides of the equation so we get:

A=B-22+21-20

We perform the subtractions so we get:

A=B-21

Equation 2:

B-20=(C+22)+21

We get rid of the parenthesis:

B-20=C+22+21

We add a 20 to both sides so we get:

B=C+22+21+20

We can now perform the additions so we get:

B=C+63

And now we can combine the equations. In this case we can substitute equation 2 into equation 1 to get:

A=C+63-21

We combine like terms to get:

A=C+42

We can subtract 42 from both sides to get:

C=A-42

which reads:

Clara's number is 42 less than Anna's number.

Answer:

I think the option B suits the most

Step-by-step explanation:

Answer:

Hi! The answer to your question is y=-3x+1

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

36

Step-by-step explanation:

Make a big square and a little one by cutting it. 6x5 is 30 and the small one is 3x2 which is 6....add then you get 36

Answer:

141

Step-by-step explanation:

2*3=6

5*9=45

6*15=90

141

Answer:

add all the sides I guess...

Step-by-step explanation:

or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape

Answer:

its easy

Step-by-step explanation:

cause it is

Answer:

13260 square inches

Step-by-step explanation:

In DEF e = 100 inches f = 740 inches and angle D = 159°. Find the area of DEF to the nearest square inch

The formula to solve the above question is

1/2absinθ

a = 100 inches

b = 740 inches

θ = 159°

The area of the triangle =

1/2 × 100 × 740 × sin 159°

= 13259.61 square inches

Approximately = 13260 square inches

Therefore, the area of DEF = 13260 square inches

Answer:

21

Step-by-step explanation:

The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume that:

Then, as the total weight of the mixture is 5 lb, thus:

[tex]x + y = 5[/tex]

18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea

Comparing in terms of weight, we get:

[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]

Thus, we get a system of two linear equations as;

[tex]x + y = 5\\4x + 3y =18[/tex]

From first equation,  getting x in terms of y:

[tex]x = 5 -y[/tex]

Substituting this in second equation, we get:

[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]

Putting this value in expression for x, we get:

[tex]x = 5-y = 5-2 = 3[/tex]

Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

Learn more about solutions of a system of linear equations here:

https://brainly.com/question/13722693

Answer:

m<QPR = 25

Step-by-step explanation:

The sum of <RPS and <QPR make up 40 so:

8x + 7 + 9x + 16 = 40

17x + 23 = 40

17x = 17

x = 1

m<QPR:

9x + 16

9(1) + 16

25

Answer:

x>28

Step-by-step explanation:

x>7

4x>28

Answer:

x = 5, Y = 4

Step-by-step explanation:

3x -2y = 7

-3x +9y = 21. (multiple the whole thing by 3 to get the xs to cancel)

7y = 28

y = 4

substitute y to find x

3x - 2(4) = 7

3x -8 = 7

3x = 15

x = 5

Answer:

[tex]l=\dfrac{p}{2}-6[/tex]

Step-by-step explanation:

Given that,

The perimeter of a rectangle = p

Width = 6

We need to find the length of the rectangle.

The formula for the perimeter of a rectangle is given by :

[tex]p=2(l+b)[/tex]

l is length

Put b = 6

So,

[tex]p=2(l+6)\\\\\dfrac{p}{2}=l+6\\\\l=\dfrac{p}{2}-6[/tex]

So, the required length is equal to [tex]\dfrac{p}{2}-6[/tex].

Step-by-step explanation:

In triangle ABC. In triangle DBC

AB. = DB.

[Given]

<ABC. = <DBC

[Given]

BC. = BC

[Common side]

Hence,

As two sides and one angle of triangle ABC and triangle DBC are equal.

Triangle ABC is congruent to Triangle DBC

Answer:

20

Step-by-step explanation:

Answer:

1)-5

2)-15

3)1

4)-11

5)-70

if negative use () for example

(-2)-7+4

Answer:

1. -5

2. - 15

3. 1

4. - 11

5. -70

I hope this helps you

V of Sphere =4/3.pi.r^3

r=1

V=4/3.3,14.1^3

V=4,1866666

Answer:

wowo cool

Step-by-step explanation:

Answer:

sounds cheeesyyy

Step-by-step explanation:

Answer:

A) 15x > 45

Step-by-step explanation:

Let X represent an hour. His wage will be 15 times that, so you have:

15x

He needs to earn more than 45 a day, so the inequality needs to be >45

Only answer that satisfies these conditions is A:

A) 15x > 45

Answer:     A.

Step-by-step explanation:

Answer:

4 Seconds

Step-by-step explanation:

Let's say the height of the ground is set at y = 0.

Then, since 16 times 4 is 64, we substitute 4 for x.

But wait! x is being squared!

So we need to find out what squared is 4. It's 2.

So, with x being equal to two, y is equal to 0.

But what is the number of seconds? We actually got it first.

That means that the answer is 4.

The pinecone takes 4 seconds to reach the ground.

hello

i think so...

hope it helps

have a nice day

Answer:

Calculating the means:

Sum each length from each sample and divide it by the number of worms.

Sample 1: 26 + 25 + 27 + 19 + 24 + 26 = 147/6 = 24.5

Sample 2: 24 + 23 + 24 + 26 + 25 + 25 = 24.5

They each have the same sample mean.

Ranges: Take the largest length and subtract the smallest.

Sample 1: 27 - 19 = 8

Sample 2: 26 - 23 = 3

Sample 1 has a greater range.

Answer:

2×[tex]10^{8}[/tex]

or

200000000

Step-by-step explanation:

[tex]\frac{6.28*10^{12} }{3.14*10^4}[/tex]

2×[tex]10^{8}[/tex]

or

200000000

Answer:

x = 108 because of supplementary angles

Step-by-step explanation:

Solving for x:

Since x and 72 are supplemenatry angles, they'll equal to 180, so:

x + 72 = 180

x = 180 - 72

x = 108