what equation represents the model shown below?

What Equation Represents The Model Shown Below?

Answers

Answer 1

Given:

The algebra tiles of an equation.

To find:

The equation represented by the given model.

Solution:

On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,

[tex]LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)[/tex]

[tex]LHS=-4x+(-3)[/tex]

[tex]LHS=-4x-3[/tex]

On the right side of the model we have 8 tiles of (-1). So,

[tex]RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)[/tex]

[tex]RHS=-8[/tex]

Now, equate the LHS and RHS to get the equation.

[tex]-4x-3=-8[/tex]

Therefore, the equation for the given model is [tex]-4x-3=-8[/tex].


Related Questions

Which statement best describes this graph?

Answers

Answer: The answer to this problem is the second choice “As the x-value increases by 1, the y-value decreases by 1/2, the x-intercept is -2.

Have a nice day!

Sasha counts unit squares to find the area of the rectangle. What is another way she could find the area?​

Answers

Answer:

- Take the length and width, and multiply

Step-by-step explanation:

A black bear gave birth to cubs weighing 9 1/2 lb, 7 lb, 8 1/2 lb , 10 5/8 lb, and 11 3/4 lb. What's the average weight of the Cubs . The average is _ lb. Type a whole number or a simplified fraction .

Answers

Answer:

The average weight is 9 19/40

Step-by-step explanation:

To find averages, you add all the quantities and divide by the amount of quantities (9.5+7+8.5+10 5/8+11.75 /5)

Hope this helps! Have a nice day!

What is the measure of Arc DC?

Answers

The rule for that is that the measure of the intercepted arc is twice the measure of the inscribed angle.

Write the first ten terms of a sequence whose first term is -10 and whose common diference is -2.​

Answers

-12,-14,-16,-18,-20,-22,-,24,-26,-28,-30

Can someone please help me for this question​

Answers

Answer:

7x

Step-by-step explanation:

Please help I can’t figure this out

Answers

Answer:

0.2222222222222222...

Step-by-step explanation: if not im sorry

Answer:

2.08008

so its = 2.1

i think

write a word phrase to represent the numerical expression below.
5 + (17-8)

Answers

five plus seventeen minus 8

plz help I will mark brainliest :)

Answers

Answer:

6,008.3

Step-by-step explanation:

[tex]V=\pi r^{2} h\\V=\pi 7.5^{2} 34[/tex]

Answer:

2nd one is the nearest tenth

Step-by-step explanation:

V=πr²h

Solving it

V=22/7×7.5×7.5×34

V=6010.714286 cm ³

A rectangle has a base of 8 yards and a height of 12.1 yards. What is the area?

Answers

Length times width equals area of a rectangle.
8*12.1=96.8

Answer: 96.8 sq yards

(2x-1) (3x+5) -(2x-1) (x+4)

Answers

Answer:

4x^2−1

Step-by-step explanation:

A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
17 cm
15 cm
15 cm
os
16 cm
16 cm

Answers

Answer:16

Step-by-step explanation:I am doing the test :D

The surface area of the square pyramid is S = 736 cm²

What is the surface area of the pyramid?

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Let the side length of the pyramid be s = 16 cm

So , Area of base B = (side length)² = 16² = 256 cm²

Next, let's find the area of each triangular face. Since the pyramid is a regular square pyramid, all the triangular faces are congruent.

The base is one side of the square base, which has length 16 cm. The height of the triangle is the slant height of the pyramid, which is given as 17 cm.

Using the Pythagorean theorem, we can find the height of the pyramid:

Height of the pyramid h = √(slant height² - ( base/2 )²)²

h = √(17² - 8²)

h = √225

h = 15 cm

Therefore, the area of each triangular face is:

Area of triangular face = (1/2) × base × height

Area of triangular face = (1/2) × 16 × 15

Area of triangular face = 120 cm²

Since there are 4 triangular faces, the total area of the triangular faces is:

Total area of triangular faces = 480 cm²

Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Total surface area = Area of base + Total area of triangular faces

Total surface area = 256 + 480

Total surface area = 736 cm²

Hence , the surface area is 736 cm²

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I need Answer Immediately!!!!!!!

Answers

Answer:

Step-by-step explanation:

slope intercept form

y=mx+c

Ahmad's best test score for Chemistry has a z-score of 0.5 as compared to all students in his class. Which statement best interprets his z-score?

A. Ahmad's test score is 0.5 standard deviations below the mean for all students taking the same test.

B. Ahmad's test score is 0.5 points lower than all students taking the same test.

C. Ahmad's test score is 0.5 standard deviations above the mean for all students taking the same test.

D. Ahmad's test score is 0,5 points higher than all students taking the same test.

Answers

Answer:  C

Step-by-step explanation: z-value comes from equatio

 z = number of points - average points ) / deviation.

z = 0,5 is over average value and 0,5 standard deviation higher than average result.

Answer:

the answer is c. Ahmad's test score is 0.5 standard deviations above the mean for all students taking the same test.

Can you help me with this question?

Answers

Answer:

2/3

1

3/2

Step-by-step explanation:

[tex]\frac{27}{7} n>\frac{4}{3}[/tex]

[tex]n>\frac{7}{27}*\frac{4}{3}[/tex]

[tex]n>\frac{28}{81}[/tex]

PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
Researchers fed mice a specific amount of Aldrin, a poisonous pesticide, and studied their nervous systems to find out why Aldrin causes convulsions. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for five mice were 2.1, 2.3, 2.3, 2.4, and 2.5.

Part A: Find the mean refractory period and the standard error of the mean. (2 points)

Part B: Calculate a 95% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. (4 points)

Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 2.1 milliseconds. Aldrin poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning. (4 points)

Answers

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

What is the measure of angle A'B'C'?

Answers

Answer:

360°

Step-by-step explanation:

360° because ABC is 180°

Which equation should you solve to find x?
A. COS 26 = x/10
B. COS 26 = 9/10
C. Sin 26 = x/10
D. Tan 26 = 9/x

Answers

Answer: Choice C

sin(26) = x/10

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

Explanation:

With respect to the 26 degree angle, the x is the opposite side and the 9 is the length of the adjacent side.

We can say tan(26) = x/9 because tangent is the ratio of opposite over adjacent. In other words, tan(angle) = opposite/adjacent

Unfortunately, tan(26) = x/9 is not an answer choice.

Luckily though, we have other trig ratios to work with.

The sine ratio ties together the opposite side and hypotenuse

sin(angle) = opposite/hypotenuse

sin(26) = x/10

---------

Extra info (optional section)

Solving for x leads to...

sin(26) = x/10

10*sin(26) = x

x = 10*sin(26)

x = 4.38371 approximately

Also, note how cos(26) = 0.89879 approximately, which is fairly close to 9/10 = 0.9. This indicates some rounding error is going on when your teacher is displaying either the 9, the 10, or the 26 degree angle.

Diogo and his 4 friends want to share the cost of a meal equally. They order
Menu
3 large pizzas and 5 small drinks. If they leave a tip of $7.50, how much does Small pizza $6.00
each person pay?
Large pizza $10.00
Small drink $1.50
Large drink
$3.00
Each person pays $
(Round to the nearest cont as needed.)

Answers

Answer:

45 rand

Step-by-step explanation:

3 large pizzas is 10 ×3=R30

5 small drinks is 1.50×5=R7.50

tip of R7.50

add all

30+7.50+7.50

=45

Please help me I will give branliest! Find the indicated trig ratio and write your answer as a simplified fraction. Image attached

Answers

Step-by-step explanation:

secx=1/cosx

=1/(root of 11/6)

=6/root 11

=6root 11/11

Answer:

sec θ = [tex]\frac{6\sqrt{11} }{11}[/tex]

Step-by-step explanation:

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex]

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex] , then

secθ = [tex]\frac{6}{\sqrt{11} }[/tex] × [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] = [tex]\frac{6\sqrt{11} }{11}[/tex]

15. Which of the following does represent the lengths
of the side of a right triangle?

Answers

Answer:

a. five, twelve, thirteen

Apply the distributive property to factor out the greatest common factor.
60 — 40y=

Answers

60- 40y = 20(3 - 2y)

Kwasi has earned $60 in babysitting money. He spends 40% of this money buying drinks for himself and two friends at Starbucks. He wants to buy a used skateboard for $35. Does he have enough money leftover to buy the skateboard

Answers

Answer: Yes

Step-by-step explanation:

Given

Kwasi earned [tex]\$60[/tex] in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

[tex]\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36[/tex]

So, Kwasi has enough money left to buy a skateboard.

Please help! If 2 answers I will mark one as the brainliest!!!

Answers

Answer: Last one I think

Step-by-step explanation:

Overnight, a pipe cracked and started to leak into a basement. The graph shows the depth of the water in relation to time.

​How many inches does the water rise each hour?
___ inches.

​How deep is the water after four hours? The water is
__ inches deep.

​How long will it take for the water to reach a depth of 80 inches? It will take
__ hours.

Answers

Answer:

the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in

The water rises 10 inches each hour. The water is 4 inches deep is the water after four hours. It will take 8 hours for the water to reach a depth of 80 inches.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A pipe cracked overnight and started to leak into a basement.

The graph represents the depth (d) of the water over time (t).

As per the given graph, the required solution would be as:

Take two points (1, 10) and (5, 50) in the given graph

The linear function will be :

d - 10 = (50-10)/(5-1)(t - 1)

d - 10 = (40/4)(t - 1)

d = 10(t - 1) + 10

d = 10t - 10 + 10

d = 10t

Here slope of the given function is 10, which means 10 inches the water rise each hour.

The value of time (t) = 4 hr corresponds to the depth of water (d) is

d = 10(4) = 40

So, the water is 40 inches deep is the water after four hours

The value of depth of water (d) = 80 in corresponds to the time (t) is

80 = 10t

t = 80/10 = 8

So, It will take 8 hours for the water to reach a depth of 80 inches

Learn more about the graphs here:

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Guy is being transferred from his home

Answers

Answer:

Good for him.

Step-by-step explanation:


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

I believe for this shape, the formula is L•W•H divided by 3. So 13 would be L and W. 18 would be H, so all this together 13•13•18 divided by 3 should give u the answer.

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

71

Step-by-step explanation:

Recall the trig ratios

Sine = Opposite over Hypotenuse

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given ∠T's  opposite side length and the adjacent side length.

When dealing with opposite and adjacent we use trig ratio Tangent.

( remember tan = opposite over adjacent )

[tex]tan(x)=\frac{52}{18}[/tex]

* multiply each side by the inverse of tan ( [tex]tan^-^1[/tex] )

[tex](tan)^-^1tan(x)=x\\(tan)^-^1*\frac{52}{18} =70.906508\\x = 70.906508[/tex]

* round to the nearest degree *

We get that x = 71

given 45, 39, 33, 27 ... find a12

Answers

Step-by-step explanation:

a12 = 45 + (12-1)(-6)

= 45-66= -21

Step-by-step explanation:

yes, the other answer is correct.

just to explain a little bit more :

the sequence is clearly built by subtracting 6 from one element to the next.

in other words :

a1 = 45

a n = a n-1 - 6

in such a sequence you do the same operation/ calculation over and over again - once per new element.

the operation in this example is simple - as mentioned : subtract 6.

a1 just gives us a starting value (no operation done for for it) zu, the operation is done one time less than the running number of the element.

therefore, the general element generation algorithm/ formula is :

a n = a1 - (n-1)*6

Pls help me I have 5 min to do this!!!! PLS PLS PLS PLS PLS NO LINKS!!!! I can’t open them just pls give me the answer idc how you got it LOL. Pls help like real people help :(

Answers

Answer:

P(-8,6), Q(-5,2), R(2,1)

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