Select one of these options for each of the 4 questions


A. Exactly one pair of opposite sides of a trapezoid is parallel.

B. Slope formula

C. Two distinct lines are parallel if and only if they have equal slopes.

D. Midpoint formula

E. Given

F. Distance formula

G.Both sets of opposite sides of a trapezoid are parallel.

Answer:

For The First Line the answer is 0

For the second line the answer is  0,0

Step-by-step explanation:

I put the picture :)

Enter numbers in the blanks to complete the sentences.

For equations in the form y=kx, if x=0, then y= 0

So the point, 0 then the other box is 0 must be on the graph of every equation in the form y=kx.

I got this correct if this doesn't help I also put the picture that I got it correct :)

Answer:

Normally, x would be the domain and y would be the range.

According to the table, range of y consists of (4, 2, 5) or ranges of (2, 4, 5)

=> Option D is correct.

Hope this helps!

:)

Answer:

number of shoes is independent, number of racks is dependent

Step-by-step explanation:

the number of racks does not affect the number of shoes but if there are a lot of shoes, the number of racks will increase.

Answer:

  14

Step-by-step explanation:

Put 4 where x is in the function and do the arithmetic.

  f(4) = 2(4) +6 = 8+6 = 14

14 cars will drive by in 4 minutes.

Answer:

The size of side x can range from 0.5 < x < 16.5.

The size of side x cannot take on values 0 and 16.5, but it ranges between those two values for side x to complete a triangle with those two other sides.

Step-by-step explanation:

Complete Question

What is the range of possible sizes for side x? One Side is 8.5 the other is 8.0.

Solution

With the logical assumption that the three sides are to form a triangle

Let the two sides given be y and z

And the angle between y and z be θ

The angle θ can take on values from 0° to 180° without reaching either values.

As θ approaches 0°, (x+z) becomes close to equaling y. (x + z) < y

It can never equal y, because θ can never be equal to 0°, if a triangle is to exist.

Hence, x > (z−y)

x > 8.5 - 8.0

x > 0.5

As θ approaches 180°, x approaches the sum y+z, θ can never equal 180° if a triangle is to exist, so x never equals (y+z).

Hence x < (y+z)

x < 8 + 8.5

x < 16.5

Hope this Helps!!!

Answer:

$7.15k

Step-by-step explanation:

So the first week, she used $2.75k

Then, you can calculate the amount for one pound the next week by doing 0.8 * 2.75 = 2.2

So the second week she used 2 * 2.2 * k = $4.4k

$4.4k + $2.75k = $7.15k

Might be wrong so check it.

Answer:

4020

Step-by-step explanation:

This question is incomplete because it lacks the diagram of the right triangular prism. Find attached to this answer, the diagram

Answer:

1771m³ or 1771 cubic meters

Step-by-step explanation:

Formula for the volume of Right triangular prism =

1/2 × base × height × Length

From the attached diagram,

We can see that the

Height of the prism = 23m

Base of the prism = 14m

Width or length of the prism = 11m

Volume = 1/2 × 14m × 23m × 11m

Volume of the right triangular prism = 1771m³ or 1771 cubic meters

Answer:

[tex] 5y -3y +12[/tex]

If we see the first two terms contains the variable y (5y and 3y), so we can take this as common factor and we got:

[tex] y (5-3) +12[/tex]

And solving the 5-3 we got:

[tex] 2y +12[/tex]

So then the best answer would be:

2y+12.

Step-by-step explanation:

We have the following expression:

[tex] 5y -3y +12[/tex]

If we see the first two terms contains the variable y (5y and 3y), so we can take this as common factor and we got:

[tex] y (5-3) +12[/tex]

And solving the 5-3 we got:

[tex] 2y +12[/tex]

So then the best answer would be:

2y+12.

Answer: 5

Step-by-step explanation:

3+4+5+8 = 20/4 = 5

Answer:

18 1/2 miles

Step-by-step explanation:

3 7/10 * 5

Change to an improper fraction

(10* 3 + 7)/10    * 5

37/10 *5

Rewriting

37 * 5/10

37/2

Changing back to an mixed number

2 goes into 37 18 times with 1 left over

18 1/2

Answer:

7=7000

Step-by-step explanation:

To determine what the digit 7 means in 3,407,215, if we put 3,407,215 into the place value chart, we can see that the 7 appears in the units column of the thousands period.

So the digit 7 in this number means 7 thousands.

Image below.

Answer: B.

Step-by-step explanation: SIN = Opposite/Hypotenuse   COS = Adjacent/Hypotenuse, and TAN = Opposite/Adjacent  or SIN/COS.

Answer:

(D)5

Step-by-step explanation:

Given the point J(-3,1) and K(8,11).

The line segment that divides the segment from J to K in any given ratio can be determined using the formula.

[tex]P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n}\right)[/tex]

In the given case:

[tex](x_1,y_1)=(-3,1), (x_2,y_2)=(8,11)[/tex], m:n=2:3

Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:

[tex]\dfrac{my_2+ny_1}{m+n}=\dfrac{2*11+3*1}{3+2}\\\\=\dfrac{22+3}{5}\\\\=\dfrac{25}{5}\\\\=5[/tex]

The y-coordinate of the point that divides the directed  line segment from J to K into a ratio of 2:3 is 5.

The correct option is D.

Answer:

The answer is actually C(5) not D

Step-by-step explanation:

Answer:

hi there

40.3

Step-by-step explanation:

28547=100%

11504=R

11504 x 100=1150400/28504

1150400/28504=40.29 = 40.3

11504/28547 = 0.40x 100 = 40 %

Practice done Before school = for 1/2 hour

Practice done after school = for 1¼ hour = 5/4 hour

Total Practice done = for 1/2 hour + 5/4 hour = 2+5/4 hours = 7/4 hours .

Practice done in 5 days = for 7×5/4 hours = 35/4 hours = 8¾ hours

Answer:

Sean practices 8 hours and 45 minutes.

Step-by-step explanation:

1/2 x 5=2.5= 2 hours and 30 minutes

1 1/4=5/4 x 5= 6.25= 6 hours and 15 minutes

2 hours and 30 minutes + 6 hours and 15 minutes= 8 hours and 45 minutes.

Sean practices 8 hours and 45 minutes.

Answer:

3

Step-by-step explanation:

first subtract 2 from 11, which is 9

then u have 3y=9

then u do 9 divided by 3, which is 3

and that's ur final answer

Answer:

3y + 2 = 11

=> 3y = 11 - 2

=> 3y = 9

=> y = 9/3

=> y = 3

Answer:

4 19/20 hours or 4 hours , 57 minutes

Step-by-step explanation:

Given

In 9 hours Maria can fill a certain order let Say X

In 9/9 hours Maria can fill   X/9 of the order

in 1 hour Maria can fill   X/9 of the order

__________________________________

In 11 hours Jim can fill a certain order let Say X

In 11/11 hours Maria can fill   X/11 of the order

in 1 hour Maria can fill   X/11 of the order

_____________________________________________

Therefore total order filled by them in one hour will sum of individual work done by them in one hour.

Mathematically,

total order filled by Jim and maria in one hour = work done by Jim in one + work done by Maria in one hour

total order filled by Jim and maria in one hour = 1/11 + 1/9

=> [tex]1/11 + 1/9 \\=> (9 + 11)/11*9\\=> 20/99[/tex]

=>20/99 of certain order is filled by both of them in one hour.

=>Total order is one. Hence, to get 1 from 20/99 we need to multiply it with its reciprocal (i.e 99/20) as 20/99 *99/20 = 1

now

=>20/99 of certain order is filled by both of them in 1 hour.

=>multiplying both order and hour with 99/20 we have

20/99 *99/20 of certain order is filled by both of them in 1* 99/20 hour

Thus total order is filled by them in 99/20 hours = 4 19/20 hours.

1 hour has 60 minutes

so 19/20 has 60*19/20 minutes = 57 minutes.

Working together, Jim and Maria   will  take 4 hours , 57 minutes  to fill the order.

You don’t list the options but you need to multiply the hourly rate by the number of hours (x) and add that to the few to find the total so the equation would be:

Total = 4x +10

You are told the total was $30 so you can solve for x:

30 =3x + 10

Subtract 10 from both sides:

20 = 4x

Divide both sides by 4:

X = 5 hours

Answer:

Step-by-step explanation:

a) The other leg of the right triangle is ...

  b = √(10² -6²) = √64 = 8

The area of the triangle is ...

  A = 1/2bh = 1/2(6)(8) = 24

Then the height to the long side is ...

  h = 2A/c = 48/10 = 4.8

The three heights are 4.8, 6, 8.

__

b) The medians to the hypotenuse is half its length, because that is also the radius of the circumcircle: 10/2 = 5.

The medians to the legs are computed from the Pythagorean theorem:

  median to "b" = √(4² +6²) = √52 = 2√13

  median to "a" = √(3² +8²) = √73

The three medians are 5, 2√13, √73.

__

c) The angle bisectors to the legs can be found in a fashion similar to the medians, using the angle bisector theorem to locate the point of intersection on the leg.

The angle bisector to "b" divides it into segments in the ratio 6:10, so the point  of intersection is 6/(6+10)×8 = 3 units from the right angle. Then its length is ...

  bisector to "b" = √(6² +3²) = √45 = 3√5

The angle bisector to "a" divides it into segments in the ratio 8:10, so the point of intersection is 8/(8+10)×6 = 8/3 units from the right angle. Then its length is ...

  bisector to "a" = √(8² +(8/3)²) = (8/3)√10

I find it easier to compute the bisector to the hypotenuse by considering the hypotenuse to be a line with x- and y-intercepts at 8 and 6. Then its equation can be 3x+4y=24, and its intersection with the line y=x will be x = y = 24/7. The  length of the segment to that point is ...

  bisector to "c" = (24/7)√2

The three angle bisectors are (24/7)√2, 3√5, (8/3)√10.

__

d) The radius of the inscribed circle can be found from the formula ...

  r = √((s-a)(s-b)(s-c)/s) . . . .  where s is the semiperimeter = 24/2 = 12

  r = √(2×4×6/12) = 2

The hypotenuse is the diameter of the circumscribed circle, so the radius of that circle is c/2 = 5.

The radii of the incircle and circumcircle are 2 and 5, respectively.

Answer:

Area of this parallelogram​ A = base x height = 11 x 6 = 66 (cm2)

Hope this helps!

:)

Answer:

k = -17 + 4x

Step-by-step explanation:

Simplifying

4x + -1k = 17

Reorder the terms:

-1k + 4x = 17

Solving

-1k + 4x = 17

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-1k + 4x + -4x = 17 + -4x

Combine like terms: 4x + -4x = 0

-1k + 0 = 17 + -4x

-1k = 17 + -4x

Divide each side by '-1'.

k = -17 + 4x

Step-by-step explanation:

Actual graph for this problem is attached below

m∠TUV = 167°

m∠TUL = (x + 11)°

m∠LUV = (11x)°

m∠TUV= m∠TUL+ m∠LUV

now plug in the angles for each

m∠TUV= m∠TUL+ m∠LUV

[tex]167= x+11 +11x[/tex]

solve the equation for x

[tex]167= x+11 +11x\\167=11 +12x[/tex]

Subtract 11 from both sides

[tex]156=12x[/tex]

divide both sides by 12

x=13

m∠TUL = (x + 11)°

m∠TUL = (13+ 11)° = (24)°

answer:

24°

Answer:

Circumference of a sphere = 6.2857 (R)

Step-by-step explanation:

Circumference of a sphere is approximately 2[tex]\pi[/tex] times of the given radius.

Assume:

Radius of the sphere (r) = R

Find:

Circumference of a sphere = ?

Computation:

⇒ Circumference of a sphere = 2[tex]\pi[/tex]r

⇒ Circumference of a sphere = 2 × [tex]\frac{22}{7}[/tex]  × R

⇒ Circumference of a sphere = 2 × 3.1428 × R

⇒ Circumference of a sphere = 6.2857 (R)

Answer:

2/17

Step-by-step explanation:

you add up all the chips and then the two chips =2

6+8+3=17

so 2/17

Answer:

2) B). Minimize 7S + 9C

3) D) . 3S + 4C ≤ 500

4) B). S + C ≥ 150

5) C) $1150

Step-by-step explanation:

The company makes two types of balls, the balls and their costs are written below:

Soccer ball, S = $7

Cork ball, C = $9

Production time of each ball:

Soccer ball = 3 hours

Cork balls = 4 hours

2) To find the objective function.

Since the cost of each soccer ball is $7 and S balls are produced, the total cost of soccer balls is 7S.

Similarly, the cost of each cork ball is $9 and C balls are produced, total cost is 9C.

The objective function maximize profits and minimizes losses. Here, the objective for this linear programming model is to fulfil the given production requirements at a minimum cost.

Therefore the objective function here is: Minimize 7S+9C

3)The constraint equation for the production hours.

To produce one soccer ball, 3 hours are needed, i.e 3S, to produce one Cork ball 4 hours are needed, i.e 4C.

Since we are given a maximum productin time of 500 hours, the constraint equation for the production hours would be:

3S + 4C ≤ 500

4) Since we are told the combined production quantity for these two balls must be at least 150 units, the constraint equation for the combined production quantity is:

S + C ≥ 150

5)Since each soccer ball costs $7, 100 soccer balls would cost:

7*100 = $700

Similarly, since each Cork ball costs $9, 50 cork balls would cost:

9*50 = $450

Therefore the total cost of production would be:

$700 + $450 = $1,150

Note: Question number 1 isn't a question, it's an expression.

Answer:

8(3j-2)

Step-by-step explanation:

Given the expression: 24j−16

We are required to factor the expression.

The GCD of 24 and 16 is 8. We therefore divide both terms of the expression by 8.

[tex]8(\dfrac{24j}{8}-\dfrac{16}{8})\\\\=8(3j-2)[/tex]

An equivalent expression therefore is: 8(3j-2)

Answer:

n = 120i + 310j + 60k

p = 29i + 18j + 21 k

Total cost = $10,320

Step-by-step explanation:

Let n and p represent the vectors for number of products and prices respectively.

Also, the coordinates i,j and k represent cashews, walnut and Brazil nut respectively.

The vector form of the total number of bags ordered and the cost are;

n = 120i + 310j + 60k

p = 29i + 18j + 21 k

We can obtain the total cost by obtaining the dot product of the two vectors.

Total cost = n.p = (120i + 310j + 60k).(29i + 18j + 21 k)

C = 120×29 + 310×18 + 60×21

C = $10,320

Answer:

See Below:

Step-by-step explanation:

Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.

22= (25+18+17+13+24+x)/6

Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.

22 = (25+18+17+13+24+x)/6     Multiply both sides by 6

132= 97+ x  Subtract 97 from both sides.

35 = x

The person who just entered the room is 35 years old.

Answer:

X=9

Solution is in the picture above.