Directions: Graph the lines in standard form.
5. 3x + 2y = 6

Answer:

1) B - 5/4

2) A. The cost of delivery is $120

3) C 2

Step-by-step explanation:

1) The given parameters are;

The demarcations on the x-axis = -10 to 10

The demarcations on the y-axis = -10 to 10

The coordinates of two points on the graph are (0. 7), and (4, 2)

The slope, m, of a graph is given by the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;

[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]

The slope, m = -5/4

Taking B. as = -5/4

2. The given information are;

The nature of the cost of delivery of crushed stone = Cost of delivery, A

The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A

Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;

C = m × x + A

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = m × 0 + A

C[tex]_{(y-intercept)}[/tex]  = A = Cost of delivery

The points on the line are;

(0, 120) and (400, 134), therefore, the slope, m, is given as follows;

[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]

We have;

(C - 134) = 0.035×(x - 400)

C = 0.035·x - 14 + 134 = 0.035·x + 120

C = 0.035·x + 120

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120

C[tex]_{(y-intercept)}[/tex]  = 120 = Cost of delivery

Therefore, the cost at the y-intercept = The cost of delivery = $120

3. The coordinates of points on the graph are;

(0, 1) and (2, 0)

The slope, m = (0 - 1)/(2 - 0) = -1/2

The equation of the line in point slope form is given as follows;

(y - 0) = -1/2 × (x - 2)

y = -x/2 + 1

The x-intercept occurs at the point y = 0, which is presented as follows;

0 = -x/2 + 1

-x/2 = -1

x = -1 × (-2) = 2

x = 2

Therefore, the y-intercept occurs at x = 2.

The correct option is

C 2

Answer:

498,173.26.

Step-by-step explanation:

The place value of 9 in the number 3, 29,513 = 9000

In the required number,

Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000

The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2

The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06

Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.

Answer:

i just need points

Step-by-step explanation:

Answer:

well im in 7th sorry i cant help

Step-by-step explanation:

Answer:

6 years

Step-by-step explanation:

if we want to know how much i will get with interest

simple interest amount = principal amount × (rate / m) × n

plus the initial quantity

where m is 12 months per year

and n is the number of months

[tex]4451=2887(\frac{0.09}{12months/year})(n)+2887\\\\4451=2887[\frac{0.09}{12}(n)+1]\\\\(\frac{0.09}{12}\cdot n)+1=\frac{4451}{2887}\\\\\frac{0.09}{12}\cdot n=1.54-1\\\\n(0.09)=12(0.54)\\\\n=\frac{12(0.54)}{0.09}\\\\n=72.23\longleftarrow months[/tex]

so we need to convert it to years

[tex]72.23=12(6)+0.019[/tex]

6 years and 0 months

I apologize if there is some mistake in my answer

Answer:

157.6m

Step-by-step explanation:

Given

Horizontal distance = 181m

Length of the rope =240m

To know how high above Kayla was, we will use the Pythagoras theorem.

According to the theorem;

d² = x²+y²

x is the horizontal distance

y is the vertical distance

d is the length of the rope

Substitute

240² = 181²+y²

y² = 240²-181²

y² = 24839

y = √24839

y = 157.6m

Hence the boat is 157.6m above Kayla

Answer:

m<32

Step-by-step explanation:

You add 4 to both sides to isolate the variable which in this case is m this gives you 32>m, then you can just flip the equation.

Answer: m < 32

Step-by-step explanation:

28 > m - 4

Add 4 to both sides:

32 > m

Flip the inequality so m is in front:

m < 32

Hope this helps!

Answer:

[tex]Computer = \frac{5}{16}[/tex]

Step-by-step explanation:

Given

[tex]Library = \frac{1}{2}[/tex]

[tex]Computers = \frac{5}{8}[/tex] of library.

Required

Determine the fraction going towards computer purchase.

We have:

[tex]Computers = \frac{5}{8}[/tex] of library.

This can be rewritten as:

[tex]Computers = \frac{5}{8}[/tex] * library.

Substitute [tex]Library = \frac{1}{2}[/tex]

So, we have:

[tex]Computer = \frac{5}{8} * \frac{1}{2}[/tex]

[tex]Computer = \frac{5}{16}[/tex]

Hence:

The fraction is [tex]\frac{5}{16}[/tex]

Answer:

2

Step-by-step explanation:

Answer:

Hello

Step-by-step explanation:

The awnser to your question is 2

Answer:

x=25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

(2x+2)+(5x+3)=180

Answer:

0.22222222

Step-by-step explanation:

Hope this helps!!!

Answer:

0.22222222

Step-by-step explanation:

you have to divide 2 by 9.

Answer:

The ratio of giraffes to otters is 8:16. If simplified it's 1:2

Step-by-step explanation:

Answer:

I would say your answer is (D

Answer:

24

Step-by-step explanation:

8+ ( 15 - 3 ) + 4

8+12+4

20+4

24

Answer:m=-1/2

Step-by-step explanation:

Answer: c

Step-by-step explanation: distribute -7p by multiplying it by 8p first, which gives you -56p squared. Then multiply the -7p by -1 which gives you 7p as the two negatives will cancel out.

Answer:

23

Step-by-step explanation:

7 - 5p + 3a

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

23

I think the answer is D

Answer:

b. 0.225

Step-by-step explanation:

tan = opposite / adjacent

opposite of A is 9

adjacent of A is 40

9/40=0.225

Answer:

-1

Step-by-step explanation:

-1 is the constant in the expression 4x - 1

Answer:

-1

Step-by-step explanation:

as it got no variables to it.

Answer:

2x²

Step-by-step explanation:

2xx

=2*x*x

=2*x2

=2x2

Answer:

Step-by-step explanation:

If you check the measurement

of the other line, it will NOT match the one

on the side. It is a few centimeters bigger than the bottom.

hope this helps! <3

Answer:

[tex]\Large \boxed{\sf 40}[/tex]

Step-by-step explanation:

The triangle is a right-angled triangle

Use Pythagorean Theorem formula to solve for hypotenuse

[tex]\displaystyle c=\sqrt{a^2+b^2}[/tex]

Substitute in the values

[tex]\displaystyle c=\sqrt{24^2+32^2}=40[/tex]

Answer:

a. lenqth=32 , width=2

b. m∠p=100  m∠Q=50  m∠R=30

c. XY=20  YZ=12

d.m∠1=90    m∠2=90

Step-by-step explanation:

a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,

1  AND  64   (this answer is suitable but it's better to choose another

one if available for more accuracy)

2  AND  32  (this is a good answer to use)

4  AND 16   (this one already used in the question)

8   AND  8   (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)

SO we will choose 2 AND 32 for the answer and we can put them in any order we want.

b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.

I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).

c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.

d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.  

Answer:

The same sign

Step-by-step explanation:

Answer:

2+2=4

Step-by-step explanation:

You've got this man.

Answer:

4

Step-by-step explanation: