Use a system of equations to solve the following problem:


I NEED THIS ANSWER ASAP PLEASE

Answer:

y = 3/4 x + 1/4

Step-by-step explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b       b = y - mx   ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7):     3/4 * 9 + 1/4 = 28/4 = 7

Answer:

3.1*10^10

Step-by-step explanation:

31 billion would be written like that because... there are 9 0's left, and that goes up to 10 because i turned 31 to 3.1 not 31, so that value after a decimal point adds 1

Answer:

6

Step-by-step explanation:

her unit rate was about 11.7 miles per hour.

divide 93.5 by 8 to get answer.

hope this helps.

i could also be wrong.

Answer:

1 place to the left

Step-by-step explanation:

im pretty sure

Answer: oo I did this in one quiz i thnk is c I put thaha

Step-by-step explanation:

A) The distance between -5 and 0 is a Positive 5 because it takes 5 positive spots to go from -5 to 0.

B) The Absolute Value of -5 is 5. (Absolute Value means the distance from that number from zero) Is takes 5 spots to get to -5.

I hope this helps, and Happy Holidays! :)

Answer:

1) 5 units

2) 5

Step-by-step explanation:

absolute value is basiclly the opposite for example 4 would be -4 and -7 would be 7

also if it has lines like this: |2| it stays as it is so |3| is still 3 and |-5| is still 5

hope this helps :)

Answer:

65

Step-by-step explanation:

The computation of the number of candies left in the bag is as follows:

Let us assume the cherry candies be c ;

And, grape candies be g

Now the ratio between them is 3:5

And, in the case when half of the candies are eaten and one cherry is also eaten so the ratio is

 (c - 1) ÷ (g ÷ 2) = 7 ÷ 6

After subsitution

It would be

(3 ÷ 5g - 1) ÷ (g ÷ 2) = 7 ÷ 6

Now after solving it,

g = 60

And, the c = 35

As the candies are half so it would be 30 now

So, the number of candies together is

= 35 + 30

= 65

Answer:

Which number is the slope of the line shown by the equation?

B. 40

Which number is the y-intercept

D.75

Step-by-step explanation:

The formula for the Equation of a line =

y = mx+b

where:

m is the slope and b is the y-intercept.

Hence, interpreting the above question:

On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour.

x is the number of hours and y is the total fee.

Hence, the Equation we have is:

y = $40 × x + 75

y = 40x + 75

Comparing with the Equation of a line formula

= y = mx+b

Therefore:

The slope of the line = 40

The y intercept = 75

Answer:

12 blueberries and 4 strawberries

Step-by-step explanation:

We can try the guess method.

3:1      3 + 1 = 4     4 is too low. We need a sum of 16.

Multiply both numbers in the ratio by 2.

6:2     6 + 2 = 8   8 is still too low

Multiply both numbers in the ratio by 4.

12:4    12 + 4 = 16    16 is correct.

Answer: 12 blueberries and 4 strawberries

Answer:

65

85

Step-by-step explanation:

Exactly one of the two requirement

Maths only = 45 - 20 = 25

Science only = 60 - 20 = 40

Exactly one = (25 + 40) = 65

B.) Atleast one :

(25 + 40 + 20) = 85

C) Neither :

140 - 85 = 55

Answer:

The values of x is -30 degrees and undefined

None of these values fall within the given range

Thus, no value within the given range is the solution to the equation

Step-by-step explanation:

Here, we want to find the value of x that works for the equation in the selected range

2cot^2x = -3csc x

Mathematically, from trigonometry;

cot^2x = csc^2x - 1

Substitute this above

2(csc^2x - 1)= -3csc x

let csc x = b

2(b^2-1) = -3b

2b^2 - 2 + 3b = 0

2b^2 + 3b - 2 = 0

2b^2 + 4b - b - 2 = 0

2b(b+ 2) - 1( b + 2) = 0

(2b-1)(b + 2) = 0

2b = 1

b = -2

b = 1/2 = 0.5

or b = -2

Recall;

csc x = b

x = csc^-1 b

x = csc^-1 0.5

x = undefined

Secondly;

b = -2

x = csc^-1 (-2)

x = -30 degrees

As we can see , between the points

0 ≤ x < 360

None of our answers fall in these range

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

Answer:

11

Step-by-step explanation:

8+6=14

14-3=11

Answer:

Ethan

Question b is incomplete

Step-by-step explanation:

Given the masses of the 6 insects below :

Name of Insect ______ Mass (m)

Arthur _____________ 7.8259

Bethan ____________ 7.2659

Clarry ______________8.159

Deena _____________ 7.4559

Ethan ______________ 8.9459

Freya ______________ 7.0159

Write the name of the stick insect with m > 8.85g

Mass (m) greater than 8.55 g

From the table :

8.945 > 8.55 ;

Hence, Ethan

(b) Write the name of the stick insect with m s 7.155 g

Question b isn't complete

Hello,

[tex]7 \sqrt{8} = \sqrt{7.7.8} = \sqrt{392} [/tex]

Býe býe.

Answer:

36/25

Step-by-step explanation:

7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9

((7 * 3 * 2)/(7 * 5))^2 * (7^0/5^-3)^3 * 5^-9 =

= (42/35)^2 * (1 * 5^3)^3 * 5^-9

= (6/5)^2 * 5^9* 5^-9

= 36/25 * 5^0

= 36/25

Answer:

25

Step-by-step explanation:

Answer:

(x,y) = (-36,6)

Step-by-step explanation:

-6y=x

x+y=-30

x=-6y,

so -6y+y=-30

-5y=-30

y=6

x=-36

Hope this helps pls hit the crown :D

Answer:

Step-by-step explanation:

Subtraction

Equation

2/3 - 1/5

Solution

20/30 - 6/30

14/30

7/15        

The tree on the wall is 7/15 of a foot larger than the tree on paper.

Division

2/3 // 1/5 = 2/3 * 5/1 = 10/3 = 3 1/3

The tree on the wall is 3 1/3 times the tree in the drawing.

Answer:

no solution

Step-by-step explanation:

Answer:a=4

Step-by-step explanation:

Expand the brackets. Collect like terms. Get the same values on each side so it’s easier to isolate a. Divide 9 from 9a so that u get a by itself and this gives u the answer if 36/9 or 4.

Answer:

a = 4  

Step-by-step explanation:

first distrubute the 3 and then 2 in the equations to whatever is inside the parantheses:

3 ( 1-9a) + 22a = 2(2a-9) -15

3 - 27a + 22a = 4a - 18 - 15

then combine the terms:

3 - 5a = 4a -33

then isolate the variables and constants to one side, for example move the 5a to the right side of the equation and move the 33 to the left side of the equaiton and then simplfy

36 = 9a

divide both sides by 9

a = 4  

Answer:

hmmmmmmmmmmmmmmm

62

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

well thats good

Answer:

The answer is 24

Step-by-step explanation:

24

Answer:

24

Step-by-step explanation:

24

Answer:

60 ft

Step-by-step explanation:

(x+13) = (3x-1) = (6x-22) since the triangle is equaililateral

(x+13) = (3x-1) (we only need to chose 2)

-2x=-14

x=7

after this, we just need to plug in the number for x

3(7)-1= 20--->since the triangle has 3 congruent sides, they all have the distance, so 20x3=60

60FT