(Will mark brainliest + 20 points :)) Gary randomly chose an item from the following lot. Use this lot to match the questions in the first column with their corresponding answer.

The sum of two rational numbers will always be rational

[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational

Answer: 2.5

Step-by-step explanation:

y = rx

substitute numbers in and solve for r

if

y = 10

x = 4

then

10 = r4

r = 10/4 = 2.5

this works for all the other numbers and always gives r = 2.5

Answer:

The main principle of solving equations is to find the unknown value

Step-by-step explanation:

For example:

 [tex]x + 3 = 6[/tex]

     [tex]-3=-3[/tex]

       [tex]x=3[/tex]

I hope this helps

Answer:

The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.

Step-by-step explanation:

Answer:

1. $1650

2. $1415.52

3. $5540

4. No

5. 145

6. No

Step-by-step explanation:

1. 2230 - 580

2. 157.28 x 9

3. 6630 - 1090

4.

5. 725 - 580

Hope this helps!

Answer to the question : 17 units

Answer:

17

Step-by-step explanation:

all you do is add -12 and 5 and pretend the - isnt there, and now you have 17.

Answer:

It is irrational because a rational number expressed as the quotient or fraction  of two integers

Step-by-step explanation:

Answer:

3 6/25 is greater

Step-by-step explanation:

Because -3 1/4 is a negative number

it is 3 1/4coz to be equal the other one had to be 3 6/24

Answer:

10,000

Step-by-step explanation:

The bases of the scientific notation are the same, so the answer must be a base of 10. So you just divide [tex]10^{6}[/tex] and [tex]10^{2}[/tex], you should get [tex]10^{4}[/tex], which is equal to 10,000.

Answer:

f(6) = 4

Step-by-step explanation:

We want the value of the function when x =6

Go to where x=6 then go up to when you hit the blue line then find the y value

f(6) = 4

Answer:B

Step-by-step explanation:

Answer: A: 384cm^3

Step-by-step explanation:

L•W•H=

Answer:

There are 6 smaller bars

Answer:

0

Step-by-step explanation:

2(a+3)/b

Let a=-3 and b=2

2(-3+3) / 2

2(0)/2

0/2

0

Answer:

0

Step-by-step explanation:

We are given the expression:

2(a+3)/b

We know that a= -3 and b=2. Therefore, we can substitute -3 in for a and 2 in for b.

2(-3+3)/2

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.

Solve inside the parentheses first. Add -3 and 3.

2(0)/2

Multiply 2 and 0.

0/2

Divide 0 by 2

0

Answer: 28

Step-by-step explanation:

Since this is an isosceles triangle, two of the angles are congruent.

180 - 124 = 56

56/2 = 28

Answer:

Thje answer is D.

Step-by-step explanation:

The circumference is always 22/7 times longer (about 3.14)

Answer:

855 grams

Step-by-step explanation:

First convert the 1.2kg into grams.

1.2kg=1200 grams.

Now we have equal units of measurement. We then subtract: 1200g-345g=855g

Answer:

B. 588 inches cubed.

Step-by-step explanation:

the pyramid base with 2inch height = 392 - 14 x 14 = 196 = 392-196 = 196

the pyramid with 9 inch height = 588.25 = 14 x 14 = 196 the adjoined upper base.

= 588.25 - 196 = 392.25 + 196 = 588^3  (inches cubed ) we only needed one base structure

We check the slant = (1/2)base = 7 then divide 392.25/7 = 56.0357142857/4

Then divide by 4 = 56.0357142857/4 = 14 and we know the slant is also 14.

We can find the isosceles central height and know it will be the smaller measure as it always is, using 14^2 - 7^2 = a^2

= 196sr - 49sr = 47sr

a^2 = √47 = 6.8556546004

So we know the diagram isn't to scale.

The equation of a rectangle pyramid =

A=lw+√l (w2)

2+√ 2+w

(l2)2+√ h2

The base is l*w*h - l*l = 392-196

or l*w + 4* h*w =196

The total volume of air inside the skylight is 980 inches cubed. Option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The volume of the rectangular pyramid is (1/3) × base area × height = (1/3) × 14² × 9 = 588 cubic inches.

The volume of the rectangular prism is length × width × height = 14 × 14 × 2 = 392 cubic inches.

The total volume of air inside the skylight is the sum of the volumes of the pyramid and prism, which is 588 + 392 = 980 cubic inches.

Therefore, the answer is (D) 588 inches cubed.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ3

Answer:

(7, 4)

Step-by-step explanation:

One-to-one function means that for every value of y in the range there is associated only one value in x in the domain.

If the point (x, y) belongs to f(x), then point (y, x) belongs to f^-1(x) (its inverse). In this case, (4,7)  is on the graph of f(x), therefore (7, 4)  is on the graph of f^-1(x)

The value of ED is 4 units in the diagram.

It is given that in the diagram m ∠B = m∠AED, AD = 8, AC = 22, and BC = 11.

It is required to find the ED.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have m ∠B = m∠AED both angles are equal.

And the m ∠A in the ΔADE and m ΔABC are the same.

By using the angle-angle similarity theorem ( ∵∠A=∠A)

[tex]\rm \frac{ED}{BC} = \frac{AD}{AC} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm ED = 4 \ unit[/tex]

Thus, the value of ED is 4 units in the diagram.

Learn more about the triangle here:

brainly.com/question/25813512

Answer:

The correct answer is

b.(1,6]

Answer:

8

Step-by-step explanation:

Answer: The bakery made 3 batches of biscuits.

Step-by-step explanation:

To find how many batches the bakery made  set up a proportional relationship .

so if  [tex]\frac{3}{10}[/tex]   can make 1 batch of biscuit

is asking how many batch of biscuits  can [tex]\frac{3}{5}[/tex]  cup of flour make

so solve this divide 3/5 by 3/10 to find the number of batches

[tex]\frac{3}{5} /\frac{3}{10}[/tex]  = [tex]\frac{30}{15 }[/tex]  = 2 +1

Answer:

the bakery made 3 batches of bicuits.

3/10=0.3

3/5=0.6

if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3

Answer:

40 boxes

Step-by-step explanation:

box = 24 x 15 x 10 = 3600 cm

1 paper clip box = 6 x 3 x 5 = 90 cm

3600/90 = 40

so 40 boxes of paper clips will fit

Answer:

40 boxes

box = 24 x 15 x 10 = 3600 cm

A paper clip box = 6 x 3 x 5 = 90 cm

3600/90 = 40

so 40 boxes of paper clips

Answer: HI, Hope this helps you dear!

Step-by-step explanation:

3/4 - 2 7/8 = 2.8755

Answer:

2 7/8

Step-by-step explanation:

5 3/4 = 23/4

2 7/8 = 23/8

23×2=46

4×2=8

46/8-23/8= 2 7/8

Answer:  

The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation.  Negative a makes an upside-down parabola.  Big a (in absolute value) makes a skinny parabola, small a a wider one.

r and s are the zeros of the quadratic function, the values of x that give y=0.

Answer:

a , r, s , x all are variables

Answer:

The size of angle PQR is 150°

Step-by-step explanation:

Lets explain how to solve the problem

- A polygon is regular when all its angles are equal and all its sides

 are equal

- The measure of each interior angle an any regular polygon

  = , where n is the number of its angles or its sides

∵ PQ and QR are two sides of a regular 12 sided polygon

∴ Q is one of its vertex

- We need to find the size of angle PQR

∵ Angle PQR is an interior angle in the regular 12 sided polygon

∴ n = 12

Use the rule above to find the size of the angle PQR

∵ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of angle PQR = 150°

* The size of angle PQR is 150°

Answer:

The final answer is [tex]n > -1[/tex], which would be the first choice.

Step-by-step explanation:

-Solve the inequality:

[tex]-6n + 5 < 11[/tex]

-Subtract both sides by [tex]5[/tex]:

[tex]-6n + 5 - 5 < 11 - 5[/tex]

[tex]-6n < 6[/tex]

-When you are dividing by a negative number, which is [tex]-6[/tex], the inequality sign would change:

[tex]\frac{-6n}{-6} < \frac{6}{-6}[/tex]

[tex]n > -1[/tex]

So, the final answer would be [tex]n > -1[/tex].

You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.

If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.