What are the steps for using integer tiles to evaluate the expression 45-15?
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Start with 15 tiles and separate them into 3 same-sized groups.
Start with 45 tiles and separate them into 15 same-sized groups.
Assemble 45 groups of 3 tiles each.
Assemble 45 groups of 15 tiles each.

Answer:

The answer to this question is pentagonal prism or pentagonal pyramid.

Answer:

Regular price for 1 ticket = $30

Step-by-step explanation:

Given that a total of 4 people went to the carnival.

Total bill for the tickets = $100

Discount coupon used = $20

To find:

Cost of Regular price ticket = ?

Solution:

First of all, we need to find the regular price of tickets for 4 persons as if there was no coupon used.

If no coupon used, total bill of tickets = Total bill with coupon + Amount of coupon

Regular price for 4 tickets = 100 + 20 = $120

So, regular price for 1 ticket = Regular price of 4 tickets divided by 4

[tex]\text{Regular price for 1 ticket }= \$\dfrac{120}{4} = \$\bold{30}[/tex]

So, the answer is:

Regular price for 1 ticket = $30

Answer:

392

Step-by-step explanation:

If we have the expression [tex]7m+3mn[/tex] and we know the values of m and n, we can just substitute inside the expression and solve.

[tex]7\cdot8 + 3\cdot8\cdot14\\\\56+336\\\\392[/tex]

Hope this helped!

Answer:

392 is the correct answer

Answer:

16

Step-by-step explanation:

Lets do a Step-by-step:

You must Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

Hope this helps

Answer:

[tex]8^{-2}[/tex]

Step-by-step explanation:

Remember, if there is a negative within the power sign, you must put the power and base under 1:

8^-2 = 1/(8^2).

Simplify:

1/(8^2) = 1/(8 * 8) = 1/(64)

1/64 = 1/64, ∴ [tex]8^{-2} = 1/64[/tex]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2r + 3s = - 5 → (1)

6s = 2r → (2) ( divide both sides by 2 ), then

r = 3s

Substitute r = 3s into (1)

2(3s) + 3s = - 5

6s + 3s = - 5

9s = - 5 ( divide both sides by 9 )

s = - [tex]\frac{5}{9}[/tex]

Substitute this value into either of the 2 equations and evaluate for r

Substituting into r = 3s, then

r = 3 × - [tex]\frac{5}{9}[/tex] = - [tex]\frac{5}{3}[/tex]

Solution is r = - [tex]\frac{5}{3}[/tex] and s = - [tex]\frac{5}{9}[/tex]

Answer:

x = -5

Step-by-step explanation:

Solve for x:

(x + 5)^2 = 0

Take the square root of both sides:

x + 5 = 0

Subtract 5 from both sides:

Answer:  x = -5

======================================

Work Shown:

Angle PQR = (far arc - near arc)/2

2x+72 = ( (2x+252) - (2x+108) )/2

2x+72 = 144/2

2x+72 = 72

2x = 72-72

2x = 0

x = 0/2

x = 0

-------------

Angle PQR = 2x+72

Angle PQR = 2(0)+72

Angle PQR = 72 degrees

Answer:

The volume of the triangular prism  is not equal to the volume of the cylinder

Step-by-step explanation:

Given that:

The cross sectional area of triangular prism and a night cylinder are congruent. The term 'congruent' means when two objects or shapes are placed above each other , they should both overlap exactly.

It was given that:

The triangular prism has a height of 5 units

and the right cylinder height of 3 units

The conclusion that can be drawn from this is that:

The volume of the triangular prism  is not equal to the volume of the cylinder.

This is because, they do not occur in the same family. A triangular prism is a three - dimensional shape that has identical, parallel ends and parallel faces.

A triangular prism has two triangles at it ends and three rectangular faces.

The volume of the triangular prism is calculate by using the formula:

[tex]V= \dfrac{1}{2}\times b \times h\times l[/tex]

On the other hand, a cylinder is a shape with two circular ends and a curved surface.The two circular ends are congruent and both circular end posses the same cross section from one end to the other in the cylinder.

The volume of a cylinder is calculated by using the formula:

V = πr²h

Thus, we conclude that irrespective of the nature of their congruency, since the heights are different which will definitely affects their volume, the the volume of the triangular prism is not equal to the volume of the cylinder.

Answer:

Negative slope Hopefully

Step-by-step explanation:

Slope formula : (5 - (-1)) / (-4 - 1)

6/-5 = a negative slope

Answer: c

Step-by-step explanation:

The two angles combine to form a straight angle which is 180 degrees. Therefore, the two angles are supplementary.

Answer:

$254

$30 + $14x

Step-by-step explanation:

Jayden:

Guaranteed wage= $30

Tips per table = $14

Number of tables = 16

Total revenue = fixed revenue + variable revenue

Fixed revenue= $30

Variable revenue change with quantity= $14 × number of tables Jayden waits on

Total earnings of Jayden for the day = $30 + $14(16)

= $30 + $224

= $254

When Jayden waits on x number of tables

Total earnings of Jayden for the day = $30 + $14(x)

= $30 + $14x

Where x = number of tables Jayden waits on

Answer:

$254

30 + 14t

Step-by-step explanation:

Answer:

w = 11.25

Step-by-step explanation:

To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.

w - 24 = -3w + 21

To do this, we should first add 24 to both sides of the equation.

w - 24 + 24 = -3w +21 + 24

If we simplify, we get:

w =  -3w + 45

Next, we should add 3w to both sides of the equation.

w + 3w = -3w + 3w + 45

4w = 45

Finally, we can divide both sides by 4.

4w/4 = 45/4

w = 11.25

Hope this helps!

Answer:

The errors are;

a. negative 4 to negative 6

b. negative 2 to negative 4

Step-by-step explanation:

The number line is the mathematical representation of numbers in the horizontal line or the x-axis.

The result of the multiplication of a positive 2 and a negative 3 is;

           2 x -3 = -6 ,  gives a negative 6.

So the number line should scale to accommodate the operands and the result, which is from negative 7 to positive 3, in the option given.

Answer:

the answer is a and c        :)

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

I hope you mean,

[tex] \frac{ - 1}{2} \: means \: \sqrt{} [/tex]

and

[tex]36 = {6}^{2} \: and \: 81 = {9}^{2} [/tex]

[tex]so \: \: \sqrt{ \frac{ {6}^{2} }{ {9}^{2} } } [/tex]

[tex]or \: ( { \frac{ {6}^{2} }{ {9}^{2} }) }^{ \frac{ - 1}{2} } [/tex]

so, the answer is 6/9 or, 2/3.

Hope you are searching this...

Answer:

The base is 16 cm long.

Step-by-step explanation:

A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.

A = 1/2 * bh

32 = 1/2 * b * 4

32 = 2b

b = 16cm

Answer:

<

Step-by-step explanation:

If we compare the 2 values

[tex]\sqrt{7}[/tex] ≈ 2.65

[tex]\frac{14}{5}[/tex] = 2.8

Thus we can see that 2.65 is less than 2.8, then

[tex]\sqrt{7}[/tex] < [tex]\frac{14}{5}[/tex]

Answer:

f (x) = 1

substitute 1 for x

f (1) = 3 (1) - 4

= 3 - 4

= -1

Answer:

[tex]y = \frac{ x + 4}{3} [/tex]

Step-by-step explanation:

Let f(x) =y

y= 3x-4

[interchanging variables]

x=3y-4

[making y the subject]

3y=x+4

Therefore the inverse of the function is

[tex]y = \frac{x + 4}{3} [/tex]

''All prime numbers are odd."

That is incorrect because if we consider the smallest odd number, 2, is an even number. We can say that except 2, all prime numbers are odd.

14. section is wrong. For example, both numbers can be negative, so when we multiple these two, it will equals a positive value.

Answer:

3/6

Step-by-step explanation:

Answer:

(x+2)²=4(y-4)

or y=1/4 (x+2)²+4

Step-by-step explanation:

directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :

(x-h)²=4p(y-k)

vertex(h,k) : the vertex is half way between the focus and the directrix

y(vertex)=y(focus)+directrix/2

y=5+3/2 ⇒8/2=4

x is the same as the c of the focus =-2

vertex (-2,4)

to find the distance (p) which is the distance between the vertex and focus

p=5-4=1

substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)

(x-(-2)²=4(1)(y-4)

(x+2)²=4(y-4)

Answer:

560 students

Step-by-step explanation:

85/100=476

x= 476 x 100/85 x=560

Answer:c560 students is the answer your welcome!!!!!

Step-by-step explanation:

Answer:

  m→B, s→P, m→M, s→M, l→P, s→B

Step-by-step explanation:

The initial state is ...

  (Baby, Mama, Papa) = (Large, Small, Medium)

The large pot can only be transferred from someone holding only that pot, and only to someone holding no pots. The small pot can go anywhere any time.

Transfer the medium pot to Baby.

  (B, M, P) = ({L, M}, S, –)

Transfer the small pot to Papa.

  (B, M, P} = ({L, M} –, S)

Transfer the medium pot to Mama.

  (B, M, P) = (L, M, S)

Transfer the small pot to Mama.

  (B, M, P) = (L, {M, S}, –)

Transfer the large pot to Papa.

  (B, M, P) = (–, {M, S}, L)

Transfer the small pot to Baby.

  (B, M, P) = (S, M, L) . . . . . . desired end condition

Answer:

[tex]\Huge \boxed{3a+4}[/tex]

Step-by-step explanation:

The function is given.

[tex]f(x)=3x+1[/tex]

To find :  [tex]f(a+1)[/tex]

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

[tex]f(a+1)=3(a+1)+1[/tex]

Expand brackets.

[tex]f(a+1)=3a+3+1[/tex]

Simplifying.

[tex]f(a+1)=3a+4[/tex]

Answer:

-9x³(x+3)(x-7)

Step-by-step explanation:

-9x^5+36x^4+189x³=

-9x³(x²-4x-21)=

-9x³(x+3)(x-7)

Answer:

1/10

Step-by-step explanation:

9/10+(-4/5)

= 9/10-4/5

=9/10-8/10

=1/10

The simplified form of the expression as a fraction is 1/10.

We have,

Expression:

9/10 + (-4/5)

Remove the parenthesis.

9/10 - 4/5

Simplify the fraction.

(9 - 8)/10

1/10

Thus,

The simplified form of the expression is 1/10.

Learn more about expressions here:

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Answer:

In 1 minute, bison runs 3520 feet

In 60 minutes, the bison would run

3520*60 feet

211200 feet per hour.

These are equivalent to;

40 miles per hour since 1 mile is equivalent to 5280 feet.

The bison is faster by 10 miles per hour

Answer:

A bison is 10 miles per hour faster than a deer.

i took the assignment

If I'm correct im sure I'd be 41

If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh. the bus driver is 41 old.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh.

To pick up 7 more people and drop off 5,

So, 43 + 7

= 50 -5

= 45

then at Cleveland to pick up 4 more people and drop off 8, and arrive at Philadelphia 20 hours later.

= 45 + 4

= 49 - 8

= 41

Therefore, the bus driver is 41 old.

Learn more about the unitary method;

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Answer:

Here, 5x + 10 = 24 + 6x - 3x

or, 5x  + 10 = 24 + 3x ( 6x-3x )

or, 5x - 3x = 24 - 10

or, 2x = 14

or, x = 14/2

Hence answer is 7.

Draw a number line. Plot -1 on the number line and make this a filled in circle. Shade to the right of the filled in circle to indicate the set of values x such that [tex]x \ge -1[/tex]

So x could be -1 or it could be larger. The fact that x = -1 is possible is why we have a closed or filled in circle (instead of an open hole) at this endpoint.