Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =

Answers

Answer 1

Given:

The expressions are:

[tex]6+3[/tex]

[tex]6+(-4)[/tex]

[tex]6+(-6)[/tex]

To find:

The value of given expression by using integer tiles.

Solution:

We have,

[tex]6+3[/tex]

Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,

[tex]6+3=9[/tex]

Similarly,

[tex]6+(-4)[/tex]

Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,

[tex]6+(-4)=2[/tex]

[tex]6+(-6)[/tex]

Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,

[tex]6+(-6)=0[/tex]

Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].

Use The Integer Tiles To Evaluate The Following Expressions. 6 + 3 = 6 + (4) = 6 + (6) =
Answer 2

Answer:

1=9

2=2

3=0

Step-by-step explanation:


Related Questions


A new computer company earns a profit of $245000 in its first year. The company expects the profits to increase by 15% each year for each subsequent year. Using your series formula, find the profit earned in its seventh year.

Answers

Answer:

$566,700 to the nearest dollar.

Step-by-step explanation:

This is a geometric series with nth term = a1r^(n-1) where common ratio r

= 1.15 and first term a1 = 245000

So in its 7th year the profit will be 245000^ 1.15^(7-1)

= 566699.8876.

What is the equation of the line that is parallel to y = 6x – 1 and passes through the point (-3, 4)?
The equation will be in slope-intercept form.

Answers

Answer:

y = 6x + 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 1 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes, then

y = 6x + c ← is the partial equation

To find c substitute (- 3, 4 ) into the partial equation

4 = - 18 + c ⇒ c = 4 + 18 = 22

y = 6x + 22 ← equation of parallel line

Someone tell me where everyone is going right please !!

Answers

1,3and 5 are functions

Answer:

Step-by-step explanation:

( 2 , 3 ) , ( 6 , - 5) , ( - 1 , 3 ) - is a function

( 1 , 9 ) , ( -3 , - 2 ) , ( 1 , - 4 )  - is a function

( 7 , - 4 ) , ( 0 , 9 ) ,  ( 2 , - 2 ) - is a  function

( 0 , 3 ) , ( 0 , 7 ) , ( 4 , 0 ) - is a function

( -6 , 5 ) , ( -5 , 6 ) , ( 8 , 2 ) - is a function

What value of x is in the solution set of
[tex]3(x - 4) \geqslant 5x + 2[/tex]
A. -10
B. -5
C. 5
D. 10​

Answers

Answer:

Option A: x = -10 is a solution.

Step-by-step explanation:

Here we have the inequality:

3*(x - 4) ≥ 5*x + 2

We can solve this for x as follows:

first, expand the left side:

3x - 12 ≥ 5x + 2

now, move all the terms with x to one side, and the other terms to the other side:

-12 - 2 ≥ 5x - 3x

-14 ≥ 2x

now let's divide both sides by 2

-14/2 ≥ 2x/2

-7 ≥ x

So the solutions are values smaller than -7

In the options, the only value smaller than -7 is the first one:

A: -10

Then the correct option is A.

A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that exactly 8 of them are strikes? Insert the correct symbol to represent this probability.

Answers

Answer:

The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199

Step-by-step explanation:

The given probability that the pitcher throws a strike, p = 0.507

The number of pitches thrown by the pitcher = 15 pitches

The probability that the pitcher does not throw a strike, q = 1 - P

∴  q = 1 - 0.507 = 0.493

By binomial theorem, we have;

[tex]P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}= \dbinom{n}{r}p^{r} \cdot \left (1-p \right )^{n-r}[/tex]

When X = r =  8, and n = 15, we get;

The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows

P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199

is it possible for a triangle to have an 80 degree angle and 105 degree angle? How do you know? ​

Answers

Answer:

Not possible.

Step-by-step explanation:

The sum of all 3 angles in a triangle is 180°. With the 80° and 105°, those add up to a total of 185°. This is bigger than can be with a given triangle. Therefore, a triangle with an 80° angle and a 105° angle is not possible.

Answer:

No it isn't possible

Step-by-step explanation:

sum of three angles of any triangle is 180 degrees.

so, as per Given question sum of only two angles exceeds 180 degrees which is " 80+105= 185" so it's not possible.. Hope this answer helps you


[tex]2 ^{2x + 1} - 9.2 ^{x} + 4 = 0[/tex]
pleas I need this answer. I want to submit it now.​

Answers

[tex]\displaystyle\bf 2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]

It’s solution in step by step explanation pls help

Answers

Answer:

6) [tex]x^2 -4x+1[/tex]

7)   26x-1y +4z

Step-by-step explanation:

long division

       

      ____[tex]x^{2}[/tex]__-4x__+1____

x-2 | [tex]x^3-6x^2+9x-2[/tex]

  -    [tex]x^3-2x^2[/tex]

       -----------

             [tex]-4x^2+9x[/tex]

             [tex]-4x^2+8x[/tex]

        ----------------

                x-2

                x-2  

Look at the image pls help

Answers

Answer: i need the formula to help i promise i will but i need the formula for the slanted f

Step-by-step explanation:

Answer:

is 34

Step-by-step explanation:

^<- this is the square sing

f(1)+f(-2) for f(x)=4x^2+7

f(1)=4(1)^2+7

=4+7

f(1) =11

f(-2)=4(-2)^2+7

if you square -2 there will not be no -

-2 the whole square is 4

=4(4)+7

f(-2)=23

f(1)+f(-2)=11+23=34

:. The answer is 34

Find value of x.
A. 110
B. 47
C. 68
D. 112

Answers

Answer:

B

Step-by-step explanation:

The sum of the inner angles of a quadrilateral is 360 degrees

135 + 110 + 68 + x = 360

313 + x = 360

x = 47 degrees

Answer:

47

Step-by-step explanation:

whole thing is 360 degrees

68 + 110 + 135 = 313

360 - 313 = 47

x looks small too (if you had to guess in a multiple choice question)

A gap 2 m deep has the shape of a truncated pyramid with rectangular bases. The length and width of the top base is 3x1.5 m and of the bottom base it is 1x0.5 m. To paint one square meter of a gap surface we need 0.25 liters, of a green paint color, How many liters of the paint color, we will need, if we want to paint just the side walls and the bottom base of the gap? Show working please.

Answers

Answer:

Volume of paint required is 3.125 litres.

Step-by-step explanation:

It would be noted that each side walls would have the shape of a trapezium. So that the areas of each wall can be determined as:

wall 1 = [tex]\frac{1}{2}[/tex](a + b) h

         =  [tex]\frac{1}{2}[/tex](0.5 + 1.5)2

        = 2 [tex]m^{2}[/tex]

wall 2 = [tex]\frac{1}{2}[/tex](a + b) h

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

          = 4 [tex]m^{2}[/tex]

wall 3 = [tex]\frac{1}{2}[/tex](a + b) h

         =  [tex]\frac{1}{2}[/tex](0.5 + 1.5)2

        = 2 [tex]m^{2}[/tex]

wall 4 = [tex]\frac{1}{2}[/tex](a + b) h

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

          = 4 [tex]m^{2}[/tex]

Total area of the walls = 2 + 2 + 4 + 4

                            = 12 [tex]m^{2}[/tex]

Area of the bottom base = l x b

                          = 1 x 0.5

                          = 0.5 [tex]m^{2}[/tex]

Total area to be painted = 12 + 0.5

                           = 12.5 [tex]m^{2}[/tex]

But to paint one square meter of a gap surface, we need 0.25 litres of a green paint color. Thus, to paint 12.5 [tex]m^{2}[/tex] of the gap surface:

12.5 x 0.25 = 3.125

The litres of paint required is 3.125.

state the square root of 53-12root10

Answers

Answer: ~15.05267 (im not sure though i just used a calculator)

I’ve gotten this answer wrong twice already

Answers

Answer:

Step-by-step explanation:

The standard vertex form of a quadratic (which is what your graphs are) is

[tex]y=(x-h)^2+k[/tex] where h and  are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:

[tex]y=(x-(-4))^2+1[/tex] which simplifies down to

[tex]y=(x+4)^2+1[/tex]. It's that simple.I think that's choice C (I'm not sure; it's very tiny!)

Hi pls help
Find the volume of this sphere.
Use 3 for T.
V ~ [?]in3
V =473
1 in

Answers

Answer:

volume of the sphere=4/3πr³

=4/3×3×1³ inch³

=4 inch³

How would the expression x2 -9 be rewritten using Difference of Squares?

Answers

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3

x^2 - 3^2 =

x^2 - 9 =

(x + 3)

(x - 3)

Answer:

Step-by-step explanation:

x²-9=x²-3²

HELP ASAP PLEASE



Jeff and three of his friends want to join a basketball league. League rules say teams must have at least five players, but can not have more than twelve players. In interval notation, how many more people can join Jeff's team.

Answers

Answer:

8 more players

Step-by-step explanation:

There are already 4 players including Jeff, so in order to have more players, they need from 1-8 more players.

Have a good day!!!!

HELP PLSSSSSSS algebra 1

Answers

Answer:

answer is x=-1/10 is the answer

Find the length of CZ

A. 32
B. 45
C. 9
D. 1

Answers

Answer:

c

Step-by-step explanation:

just took it

Answer:

D. 1

Step-by-step explanation:

CA = 17

ZA = 16

CZ + ZA = CA

CZ + 16 = 17

CZ = 1

D. 1

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

The point is inside. I used Desmos and it showed this.

aand (-4,2) can be placed inside the circle.

Step-by-step explanation:

find missing side of triangle, help!

Answers

Answer:

A √202km

Step-by-step explanation:

x²=11²-9²

x²=121-81

x²=202

√x²=√202

x=√202

202 bc the answer clearly shows how

find the area of the shape below​

Answers

Answer:

34?

Step-by-step explanation:

I think 34 because 3×3 is equal to 9. 5×5 is equal to 25. If you add 9+25, you would get 34.

Answer:

24 cm²

Step-by-step explanation:

the area = ½× (3+3) × (5+3)

= ½× 6×8

= 3×8

= 24 cm²

Can someone please be generous & help I’ve been struggling all night

Answers

Answer:

Slope-intercept

y = 3/4(x) - 7

Point slope

y -5= 3/4(x - 16)

Step-by-step explanation:

In slope-intercept

We have the general slope intercept as;

y = mx + b

where m is the slope and b is the y-intercept

in this case, m = 3/4 and b = -7

So we have;

y = 3/4(x) - 7

In point-slope

we have the general form as;

y-y1 = m(x-x1)

So what we have is as follows;

y -5= 3/4(x - 16)

Where we have (x1,y1) = (16,5)

determine which statement or statements are true. If none write “none”.

By accident I circled D for question 1 and C for question 2 I’m not sure if they are correct. But if anybody can help me with 1-3 that will be a life saver!!!

THANK UUUUUU

Answers

Answer:

number 1 is C number 2 is A and number 3 is D

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

find the volume of the rectangular prism. plz answer this lol

Answers

Answer:

.....how when the dimensions are not even clear lol

Answer:

48 cm³

Step-by-step explanation:

the volume of a rectangular prism= length × breadth × height

= 8× 3 × 2

= 48 cm³

Choose the correct answer from the given four options:In an AP, if a = 3.5, d = 0, n =101 ,then an will be

0

-3.5

3.5

1​

Answers

Answer:

3.5

Step-by-step explanation:

Tn=a(n-1)d

Tn=3.5+(101-1)0

Tn=3.5+0

Tn=3.5

Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which mapping notation is correct?
(x, y) right-arrow (negative x, y)
(x, y) right-arrow (x, negative y)
(x, y) right-arrow (negative x, negative y)
(x, y) right-arrow (y, x)

Answers

Answer:

(x,y) right arrow (negative x , y)

Step-by-step explanation:

Mathematically, when we reflect a point over the x-axis; we have a result

The result is that the x- coordinate of the point reflected takes up a negative value

so what we have here is that;

(x,y) becomes (-x,y) once reflected over the y-axis

So, traditionally, we add the arrow

So our answer is thus;

(x,y) right arrow (negative x , y)

Answer:

A.

Step-by-step explanation:

Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
(a – 3)(a2 + 2a – 6)



help please

Answers

Hello,

Why "Multiply the polynomial by distribution"  ?

It's s t u p i d, you compliquate the equation.

In order to find the roots of P(a)=(a-3)(a²+2a-6)=0

a²+2a-6

=(a²+2a+1)-7

=(a+1)²-7

=(a-√7)(a+√7)

P(a)=(a-3)(a-√7)(a+√7)

Roots are 3,√7 and -√7

(If i have well understood the question , sorry if not)

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)

7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.

Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌

Correct answer + with explanation will be chosen as the Brainliest Answer ✅​​​​​​

Answers

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

[tex]\displaystyle \text{SA}=2\pi r^2+ 2\pi rh[/tex]

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

[tex]\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2[/tex]

Then the total surface area for 200 cylinders will be:

[tex]\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2[/tex]

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

[tex]\displaystyle V=\pi r^2h[/tex]

Since r = 1.2 and h = 6.4:

[tex]\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3[/tex]

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

[tex]\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3[/tex]

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

[tex]\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895[/tex]

Thus, approximately 4895 containers can be filled.

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

Find the value of x.

Answers

Answer:

The value of x is 18°

Step-by-step explanation:

Sum of the angles are 180°

3x+126=180

3x=180-126

3x=54

x=18

Answered by GAUTHMATH

Prove algebraically that n^2-2-(n-2)^2 is always even

Answers

Answer:

It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)

Step-by-step explanation:

[tex] {n}^{2} - 2 - ( {n}^{2} + 4 - 4n) = \\ {n}^{2} - 2 - {n}^{2} - 4 + 4n = \\ 4n - 6 = 2(2n - 3)[/tex]

Step-by-step explanation:

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