Two tapes -red and green- with lengths of 416 ft and 780 ft respectively are cut into two pieces of equal lengths without remainder. What is the greatest length possible for the pieces?

Answer:

Solution: The general form of the line on a graph is y = mx+c,

where y is the coordinate of the point along the y-axis,

x is the coordinate of the point along the x-axis,

m is the slope of the line or arc tan of the angle the line makes with the x-axis, and

c is the intercept the line makes on the y-axis.

Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is

y = mx + c

6 = tan 45 * 4 + c, or

6 = 4 + c, or

c = 6–4 = 2.

Answer:

x=2,y=7

Step-by-step explanation:

Using elimination method:

Add both equations

8x=16

x=2

Put x=2 into equation 2

3•2+6y=48

6y=42

y=7

Answer:

140

Step-by-step explanation:

The prism shown is a rectangular prism

Volume of a rectangular prism = length * width * height

Given length: 3 1/2

Given width: 5

Given height: 8

Volume = 3.5 * 5 * 8 = 140

Answer:

[tex]A=140[/tex]

Step-by-step explanation:

The volume of a three-dimensional object is the amount of space the object takes up. In this case, the prism is a rectangular  prism, its volume can be found using the following formula,

[tex]A=l*w*h[/tex]

Substitute the given values into this formula,

[tex]A=l*w*h[/tex]

[tex]A=8*5*3\frac{1}{2}[/tex]

Simplify,

[tex]A=8*5*3\frac{1}{2}[/tex]

[tex]A=40*3\frac{1}{2}[/tex]

Convert the mixed number into an improper fraction, this can be done by multiplying the "number" part of the mixed number by the denominator (number under the fraction bar). Then one adds the result to the numerator (number over the fraction bar).

[tex]A=40*3\frac{1}{2}[/tex]

[tex]A=40*\frac{(3*2)+1}{2}[/tex]

[tex]A=40*\frac{6+1}{2}[/tex]

[tex]A=40*\frac{7}{2}[/tex]

To simplify further, one must divide the number the fraction is being multiplied by the denominator of the fraction,

[tex]A=40*\frac{7}{2}[/tex]

[tex]A=20*7[/tex]

Multiply to finish simplifying and get the answer,

[tex]A=20*7[/tex]

[tex]A=140[/tex]

Answer:

50

Step-by-step explanation:

Diagonal of square = 10

Use special triangles to find the area because a square's diagonal divides the 90 degree angles into 45 degrees

45-45-90 triangle

x   : x   : x√2

1   : 1      : 10

10=x√2

10/√2=x, rationalize denominator and you get 5√2 as the square's side length

Area is s^2, s being the length of a side

(5√2)^2=25*2=50

I tried to make this as vague as possible since this is a question about your personal life.

1. sleep to hours in a day, 8:24

2. cans of soda to bottles of water, 1:2

3. meals to snacks, 3:2

Answer:

Step-by-step explanation:

1. Solve

 5(4x + 2) ÷ 7y

20x+10 ÷  7y

Sum: 20x+10 ÷ 7y

Products: 20x and 10

Factors: 5, 4x, and 2

Quotient: not present

Coefficient: not present

Terms: x and y

Answer:

3 more than a number, z+3

three less than a variable, y-3

product of an unknown value and 3, 3a

quotient of some number and 3, b ÷ 3

and i think x3 is the cubed but it would be written as x^3

Step-by-step explanation:

Answer:

158. surface area = 108π

volume = 216√3π

159. surface area = 4√97π+16π

volume = 144π

Answer:

B

it's a recurring number therefore it's irrational

Answer:

here is an example to guide you

Step-by-step explanation:

To find how much paper for the model, you will use the formula for area of a square and area of a triangle.

A = bh

7.2 x 7.2

A = 51.84 cm²

A = 1/2bh

1/2 x 7.2 x 6

A = 21.6 cm²

21.6 cm² x 4 = 86.4 cm²

86.4 + 51.86=138.3

You will need 138.3 cm² of paper.

Answer:

Part A:

The ratios in the table are equivalent.

The two quantities in this table represent a proportional relationship.

The graph of the relationship would be straight line through origin

Step-by-step explanation:

Part A

The ratios in the table are equivalent.

Length: Cost

6 : 42   = 1 : 7

15: 105 = 1: 7

24 : 168 = 1:7

30 : 210 = 1 : 7

The two quantities in this table represent a proportional relationship.

If we take length = x, then cost =7x

When length = 6 ,  Cost = 7 *6 = 42

When length = 15 ,  Cost = 7 * 15 =  105

When length = 24 ,  Cost = 7 *24 = 168

The graph of the relationship would be straight line through origin

y = 7x

y -> cost and x -> length

When x = 0 , y= 0. so, this graph go through the origin

Part B:

$ 7 per foot

Answer:

179.38 sq.units

Step-by-step explanation:

answer is in the pic

I got 288 but that could be wrong. graduated a while ago. hope it helps though.

Answer:

Slope = 1

Greatest value is positive infinite

Smallest value is negative infinite

Step-by-step explanation:

Function

Y=mx+c

Y=x

The value x is equal to [tex]\pi[/tex] for which f(g(x))=g(f(x))

Given :

f(x)=3+cos(x)

g(x)=2x

To find : the value of x over the given interval [tex]0\leq x\leq 2\pi[/tex]

Apply composition of functions. Replace g(x) inside f(x) to find f(g(x))

[tex]f(g(x))=f(2x)=3+cos(2x)\\g(f(x))=g(3+cosx)=2(3+cosx)\\[/tex]

Now we set f(g(x))=g(f(x)) and solve for x

[tex]3+cos(2x)=2(3+cosx)\\3+cos(2x)=6+2cos(x)\\\cos \left(2x\right)-2\cos \left(x\right)-3=0\\\\we \; know:\ cos(2x)=2cos^2(x)-1\\-4-2\cos \left(x\right)+2\cos ^2\left(x\right)=0\\2cos^2(x)-2cos(x)-4=0\\\\divide \; by \; 2 \; and \; Factor \; left \; hand \; side\\\\cos^2(x)-cos(x)-2=0\\\\(cosx-2)(cosx+1)=0\\\cos \left(x\right)=2,\:\cos \left(x\right)=-1[/tex]

cos(x)=2 cannot be solved , so no solution

[tex]cos(x)=-1\\cos is -1 at x=180 degree\\So , x=\pi[/tex]

Learn more :  brainly.in/question/33863433

Answer:

y intercept : if jada doesn't sell anything, she loses $250

Pos/neg interval: jada needs to sell more than 35 kilos in order to make a profit

Increase/decrease interval: the more paprika she sells, the more profit she makes

Step-by-step explanation:

y intercept is when she sells 0 kilos and is at -250 on the y axis

pos/neg interval is whether or not she is above or below 0 on the x axis (she has to be above it in order to make a profit)

The more the line is increasing, the larger profit she makes

i can ask my friend if he can help u he knows a lot about this stuff

Answer:

I believe it might be 2over 6

Step-by-step explanation:

my guess but it might be wrong or right i dont know

Answer:

C.

He dives 15 ( subtract) rises 4 (add) dives 7 (subtract)

-15 + 4 = -11 -7 = -18 meters

Using the second part of c: 4 + (-15) = 4-15 = -11 +(-7) = -11–7 = -18 meters

for vegetable oil, it's increasing by 120, for cornstarch by 30

Answer:

Option (B):3

Step-by-step explanation:

S.A of Box J =57ft^2 ; using formula 2(lb+lh+hb)

S.A of BoxF=54Ft^2;using formula (6a^2)

Differenceof S.A of boxes:57-54=3

Answer:

Both a and b

Step-by-step explanation:

The distribution has an outlier from 0 to 5 hours. The peak of this distribution is from 40 to 45 hours since this column is the tallest.

Answer:50

Step-by-step explanation:

Answer:

p=1                                  p = -5/3

Step-by-step explanation:

1-|3p+1|=-3

Subtract 1 from each side

1-|3p+1| -1=-3-1

-|3p+1|=-4

Divide by -1

|3p+1|=4

The absolute value has two solutions one positive and one negative

3p+1 = 4            3p+1 = -4

Subtract 1 from each side

3p+1-1 = 4-1            3p+1-1 = -4-1

3p = 3                         3p = -5

Divide by 3

3p/3 = 3/3                    3p/3 = -5/3

p=1                                  p = -5/3

Answer:

p=-5/3,1

Step-by-step explanation:

Subtract 11 from both sides.

-|3p+1|=-3-1

−∣3p+1∣=−3−1

2 Simplify  -3-1−3−1  to  -4−4.

-|3p+1|=-4

−∣3p+1∣=−4

3 Multiply both sides by -1−1.

|3p+1|=4

∣3p+1∣=4

4 Break down the problem into these 2 equations.

3p+1=4

3p+1=4

-(3p+1)=4

−(3p+1)=4

5 Solve the 1st equation: 3p+1=43p+1=4.

p=1

p=1

6 Solve the 2nd equation: -(3p+1)=4−(3p+1)=4.

p=-\frac{5}{3}

p=−  

3

5

​

7 Collect all solutions.

p=-\frac{5}{3},1

p=−  

3

5

​

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