May someone help me out :)

May Someone Help Me Out :)

Answers

Answer 1

Answer:

  ∠FIG = (47/2)° = 23.5° . . . . . rounds to 24°

Step-by-step explanation:

The value of x can be found from ...

  72 = 3x+3 . . . . the central angle and the arc measure are the same

  24 = x+1 . . . . . divide by 3

  23 = x . . . . . . . .subtract 1

The measure of ∠FIG is half the difference of the arc measures FG and RZ, so is ...

  m∠FIG = (1/2)(3x+3 - (x+2)) = (1/2)(2x +1) = x +1/2

  m∠FIG = 23 1/2 . . . . degrees

_____

Perhaps you're supposed to round this to 24°.


Related Questions

Please answer this correctly

Answers

Answer:

The missing number is 8

Step-by-step explanation:

Hope this helps (3

it will be 297,088 as the answer

Neil has 3 partially full cans of white paint.They contain 1/3 gallon,1/5 gallon,and 1/2 gallon of paint.About how much paint does neil have in all

Answers

I don’t know what answer Is I wish I could help

PLS HELP!!!!





Drag a statement or reason to each box to complete this proof.




If x−24=2, then x=10.


Statement Reason

1. x−24=2 Given

2. 4(x−24)=4∙2 ?

3. ? Simplifying

4. x−2+2=8+2

5. ? ?

______________________________________________________________


simplifying multiplication property of equality


addition property of equality x=10 x-2=8

Answers

Answer:

2. simplifying multiplication property of equality

3. x - 2 = 8

5. x = 10 , addition property of equality

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation is [tex]\frac{x-2}{4}=2[/tex]

- The value of x is 10

- We want to a statement reason to each step to complete the proof

* Lets write each step with statement reason

1. [tex]\frac{x-2}{4}=2[/tex]  ⇒ Given

2. [tex]4(\frac{x-2}{4})=4*2[/tex]  ⇒ simplifying multiplication property of equality

3. x - 2 = 8  ⇒ Simplifying

4. x - 2 + 2 = 8 + 2                      

5. x = 10  ⇒  addition property of equality

- In step 2 we multiply both sides by 4 to cancel the denominator of

 the left hand side (simplifying multiplication property of equality)

- Then we simplify the two sides to get (x - 2 = 8)

- Then we add two to both sides to cancel -2 in the left hand side

- Then after adding we find (x = 10) , (addition property of equality)

* The answer is:

2. simplifying multiplication property of equality

3. x - 2 = 8

5. x = 10 , addition property of equality

20 pts awarded and brainliest marked, plz help ASAP!!!!!!

Mark all the statements that are true.

Answers

- The equation of this line is x=3.

- And I think it's also, This graph is a function of whose range is set at {3}.

Answer:

D. The equation of this line is x=3

E. This graph is not a function because the value x=3 is assigned to mre than one y-value.

Step-by-step explanation:

The range is all real numbers.

The domain of this graph is x=3, but it is not a function

The graph is a vertical line whose equation is x=3 because the graph passes through (3,y).

This graph cannot represent a function because it will not pass the vertical line test.

In other words, the x-value of 3 is assigned to more than one y-value.

Therefore the correct answers are:

Option D and E

Which polar coordinates represent the same point as the rectangular coordinate (2,-1?

Answers

[tex]\bf (\stackrel{a}{2}~,~\stackrel{b}{-1})\qquad \begin{cases} r=\sqrt{a^2+b^2}\\\\ \theta =tan^{-1}\left( \frac{b}{a} \right) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ r=\sqrt{2^2+(-1)^2}\implies r=\sqrt{5} \\\\\\ \theta =tan^{-1}\left( \cfrac{-1}{2} \right)\implies \theta \approx -26.57^o\implies \theta \approx 333.43^o \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\sqrt{5}~~,~~333.43^o)~\hfill[/tex]

Answer:

[tex](r,\theta); (\sqrt{5} , tan^{-1}(\frac{x}{y}))\\(r,\theta); (-\sqrt{5} , -tan^{-1}(\frac{x}{y}))[/tex]

Step-by-step explanation:

Here we are given our rectangular coordinates as (2,-1) . We have to convert this into polar coordinates. The formula for conversion into polar form is

[tex]r=\sqrt{x^2+y^2}[/tex]

[tex]\theta=tan^{-1}(\frac{x}{y})[/tex]

Substituting the values of x and y in the above formulas we get

[tex]r=\sqrt{2^2+(-1)^2}\\r=\sqrt{4+1}\\r=\sqrt{5}\\r=-\sqrt{5}\\[/tex]

[tex]\theta=tan^{-1}(\frac{-1}{2})[/tex]

Hence our polar coordinates are

[tex]r=(\sqrt{5},tan^{-1}(\frac{-1}{2}) )\\r=(-\sqrt{5},tan^{-1}(\frac{-1}{2}) )\\[/tex]

Which value for x makes the following equation TRUE?
-2x - 4 = - 6

Answers

Answer:

1

Step-by-step explanation:

-2(1) = -2

then -2 - 4 = -6

-6 = -6

Answer:

1

Step-by-step explanation:

Move all terms that don't contain x to the right side & solve.

Please help me out with this

Answers

Check the picture below.

Please help me out please

Answers

Answer:

h=20

Step-by-step explanation:

h=3 (V/lw)

h= 3 (960/12*12)

Which point does NOT lie on the graph of y = 2x 3?
(1, 8)
(-1, -2)
(0, 0)
(2, 16)

Answers

[tex]\bf (\stackrel{x}{1},\stackrel{y}{8})\qquad y=2x^3\implies 8=2(1)^3\implies 8\ne 2~~\bigotimes \\\\\\ (\stackrel{x}{-1},\stackrel{y}{-2})\qquad y=2x^3\implies -2=2(-1)^3\implies -2=-2~~\checkmark \\\\\\ (\stackrel{x}{0},\stackrel{y}{0})\qquad y=2x^3\implies 0=2(0)^3\implies 0=0~~\checkmark \\\\\\ (\stackrel{x}{2},\stackrel{y}{16})\qquad y=2x^3\implies 16=2(2)^3\implies 16=16~~\checkmark[/tex]

9. A gear of radius 6.1 cm turns at 11 revolutions per second. What is the linear velocity of the gear in meters per second?

Show your work

Answers

Answer:

4.22 meters per second.

Step-by-step explanation:

First multiply the revs per second by pi:

= 11pi = 34.558.

Now multiply this by the diameter which is 2*6.1 = 12.2 cm = 0.122 m.

Linear velocity =  0.122 * 34.558

= 4.22 m/s.

Linear velocity of the gear in meters per second is  4.22 m/s.

What is linear velocity?

Linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.” It is a vector quantity.

Given

Gear of radius = 6.1 cm

Gear of diameter = [tex]2 \times 6.1 = 12.2 cm[/tex] = 0.122 m

Revolutions per second = [tex]11\pi[/tex] = 34.558

Linear velocity of the gear  =  diameter × Revolutions per second

Linear velocity = 0.122 × 34.558

= 4.22 m/s

Linear velocity of the gear in meters per second is  4.22 m/s.

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If 3(x+2)=5(x-8) what is the value of x+2?

A. 23
B.25
C.40
D.46

Answers

Answer:

B. 25

Step-by-step explanation:

In order to find out the value of x + 2, you need to know what x is.  Let's solve for it then sub it back in to evaluate the expression.

3(x+2)=5(x-8) distributes out to give you

3x + 6 = 5x - 40.  Get like terms together on opposite sides of the equals sign:

46 = 2x and divide to get x = 23.  Now that we know that x = 23, that means that x + 2 is the same as 23 + 2 which is 25.

1.) A multiple choice test has 7 questions each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer 3 or more questions correctly?


0.311


0.0156


0.244


0.756

2.) In a survey of 300 college graduates, 63% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 4 or fewer of them entered a profession closely related to their college major?


0.149


0.0512


0.793


0.207

Answers

Final answer:

The probability that Judy guesses at least 3 questions correctly in a multiple-choice test is calculated using the binomial probability formula. For the survey question, the hypergeometric distribution is used to find the probability of 4 or fewer out of 9 people entering a profession related to their major. Exact probabilities require mathematical computation.

Explanation:

Probability of Answering Multiple-Choice and Survey Questions Correctly

For question 1, we must calculate the probability that Judy guesses at least 3 questions correctly on a 7-question multiple-choice test, where each question has 4 possible answers. Since only one answer is correct per question, her probability of guessing a question correctly is 1/4. To find the total probability of answering 3 or more questions correctly, we use the binomial probability formula which considers the probability of success (1/4) and the number of trials (7 questions). We sum the probabilities of getting exactly 3, 4, 5, 6, or all 7 questions correct.

For question 2, regarding the survey of 300 college graduates, we use the hypergeometric distribution since the samples are taken without replacement. We need to determine the probability that 4 or fewer of the randomly selected 9 survey subjects entered a profession closely related to their college major. We know that 63% of the entire group, which is 189 individuals, entered a relevant profession. We sum the probabilities of 0, 1, 2, 3, and 4 people from our sample of 9 falling into the group who are working in their field.

The correct probabilities from the provided choices are not directly calculable without doing the necessary computations using the respective formulas for each scenario, which are beyond the scope of this response as we do not have the calculations or the respective formulas provided within the context of this interaction.

For parametric equations x= a cos t and y= b sin t, describe how the values of a and b determine which conic section will be traced.

Answers

Step-by-step explanation:

x = a cos t, y = b sin t

cos t = x / a, sin t = y / b

cos² t + sin² t = 1

(x / a)² + (y / b)² = 1

If a = b, the conic section is a circle.

If a and b are different, the conic section is an ellipse.

please help me with this geometry question

image attached

Answers

For this problem, you need to know how to use sin, cos, and tan or 'SOH-CAH-TOA' sin- opposite/hypotenuse cos-adjacent/hypotenuse toa- opposite/adjacent

in this case, you can use tan or toa

the equation should be set up like this:

4/x=1/0.848

solve, and you will get 3.39...

(you need to use the sin,cos,tan degree chart to find 0.848)

Find the component of a velocity vector of an airplane that is traveling 150 mph at 45° below horizontal.

Answers

Answer:

none of the above

Step-by-step explanation:

All of the answer choices agree that the magnitude of the components is 150/√2 ≈ 106.1. The units of these components should be "mph", the same as the units of the magnitude of the given vector.

We only know the angle with respect to horizontal. We don't know whether that angle is measured with respect to the positive x-axis or the negative x-axis. Both of those are horizontal, and there is nothing in the problem statement that restricts the airplane to be traveling in one direction or the other.

Possible answers are ...

<106.1 mph, -106.1 mph> . . . . . . "horizontal" is +x direction

<-106.1 mph, -106.1 mph> . . . . . "horizontal" is -x direction

(The units are not degrees (°).)

Time sensitive question. Find the sum of the first 26 terms of an arithmetic series whose first term is 7 and 26th term is 93.

Answers

ANSWER

[tex]S_{26}=1300[/tex]

EXPLANATION

The sum of an arithmetic sequence whose first term and last terms are known is calculated using

[tex]S_{n}= \frac{n}{2} (a + l)[/tex]

From the given information, the first term of the series is

[tex]a = 7[/tex]

and the last term of the series is

[tex]l = 93[/tex]

The sum of the first 26 terms is

[tex]S_{26}= \frac{26}{2} (7 + 93)[/tex]

[tex]S_{26}= 13 (100)[/tex]

[tex]S_{26}=1300[/tex]

Final answer:

The sum of the first 26 terms of the given arithmetic series is 1300, obtained using the sum formula S = n/2 * (a1 + an) for arithmetic series.

Explanation:

To find the sum of the first 26 terms of an arithmetic series whose first term (a1) is 7 and the 26th term (a26) is 93, you can use the formula for the sum of an arithmetic series: S = n/2*(a1 + an). Here, n is the number of terms, a1 is the first term, and an is the nth term. In this case, we have n = 26, a1 = 7, and a26 = 93.

The sum, S, of the series is calculated as follows:
S = 26/2 * (7 + 93) = 13 * (100) = 1300.

Therefore, the sum of the first 26 terms of the arithmetic series is 1300.

I have no idea how to do this. I can’t cooperate with the imaginary number, please help me

Answers

Answer:

Step-by-step explanation:

This is a third degree polynomial because we are given three roots to multiply together to get it.  Even though we only see "2 + i" the conjugate rule tells us that 2 - i MUST also be a root.  Thus, the 3 roots are x = -4, x = 2 + i, x = 2 - i.

Setting those up as factors looks like this (keep in mind that the standard form for the imaginary unit in factor form is ALWAYS "x -"):

If x = -4, then the factor is (x + 4)

If x = 2 + i, then the factor is (x - (2 + i)) which simplifies to (x - 2 - i)

If x = 2 - i, then the factor is (x - (2 - i)) which simplifies to (x - 2 + i)

Now we can FOIL all three of those together, starting with the 2 imaginary factors first (it's just easier that way!):

(x - 2 - i)(x - 2 + i) = [tex]x^2-2x+ix-2x+4-2i-ix+2i-i^2[/tex]

Combining like terms and canceling out the things that cancel out leaves us with:

[tex]x^2-4x+4-i^2[/tex]

Remembr that [tex]i^2=-1[/tex], so we can rewrite that as

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

[tex]x^2-4x+4+1=x^2-4x+5[/tex]

That's the product of the 2 imaginary factors.  Now we need to FOIL in the real factor:

[tex](x+4)(x^2-4x+5)[/tex]

That product is

[tex]x^3-4x^2+5x+4x^2-16x+20[/tex]

which simplifies down to

[tex]x^3-11x+20[/tex]

And there you go!

A square and a rhombus have the following in common EXCEPT:

A. Opposite pairs of sides are parallel

B. Opposite pairs of sides are congruent

C. Pairs of interior and exterior angles are supplementary

D. All interior angles are 90 degree

Answers

D.All interior angles are 90 degrees

Let's analyze each choice to determine which one is the exception, that is, a property that is not shared between a square and a rhombus:
A. Opposite pairs of sides are parallel:
This is true for both a square and a rhombus. By definition, both a square and a rhombus have opposite sides that are parallel.
B. Opposite pairs of sides are congruent:
This property also holds true for both squares and rhombi. In a square, all four sides are equal in length. In a rhombus, opposite sides are equal in length.
C. Pairs of interior and exterior angles are supplementary:
Again, this is a common feature of both squares and rhombuses. In any parallelogram (which includes both squares and rhombuses), each pair of interior and exterior angles on the same side are supplementary, totaling 180 degrees.
D. All interior angles are 90 degrees:
This is where we can find the exception. In a square, all four interior angles are indeed 90 degrees. However, this is not the case for a rhombus. A rhombus does not necessarily have right angles; its angles can be of any measure as long as opposite angles are equal and the sum of the angles is 360 degrees, which is true for any quadrilateral.
Therefore, the correct answer to the question is:
D. All interior angles are 90 degrees
This is the property that is not common between a square and a rhombus, making it the exception.

Match the rectangles formed by the sets of points to their corresponding areas. A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16) 50 square units E(30, 20), F(39, 29), G(49, 19), H(40, 10) 300 square units I(-6, 2), J(2, 2), K(2, -8), L(-6, -8) 100 square units M(5, 5), N(11, 5), O(11, -5), P(5, -5) 80 square units Q(10, 0), R(15, 5), S(25, -5), T(20, -10) U(0, 5), V(15, 20), W(25, 10), X(10, -5) arrowBoth arrowBoth arrowBoth arrowBoth

Answers

Answer:

The area of ABCD is 50 units²

The area IJKL is 80 units²

The area of QRST is 100 units²

The area of UVWX is 300 units²

Step-by-step explanation:

* Lets revise the area of the rectangle

- The area of any rectangle = its length × its width

- To solve the problem find the lengths of two adjacent sides and

  consider that one of them is the length and the other is the width

- Use the rule of the distance between two points (x1 , y1) and (x2 , y2)

 the distance = √[(x2 - x1)² + (y2 - y1)²]

# In rectangle ABCD

∵ A = (-9 , 8) , B = (-5 , 5) , C = (1 , 13)

∴ AB = √[(-5 - -9)² + (5 - 8)²] = √[(4)² + (-3)²] = √[16 + 9] = √25 = 5 units

∴ BC = √[(1 - -5)² + (13 - 5)²] = √[(6)² + (8)²] = √[36 + 64] = √100 = 10 units

∴ The area of ABCD = 5 × 10 = 50 units²

# In rectangle EFGH

∵ E = (30 , 20) , F = (39 , 29) , G (49 , 19)

∴ EF = √[(39 - 30)² + (29 - 20)²] = √[9² + 9²] = √[81 + 81] = √162 unit

∴ FG = √[(49 - 39)² + (19 - 29)²] = √10² + (-10)²] = √[100 + 100] = √200 units

∴ The area of EFGH = √162 × √200 = 180 units²

# In rectangle IJKL

∵ I = (-6 , 2) , J = (2 , 2) , K = (2 , -8)

∴ IJ = √[(2 - -6)² + (2 - 2)²] = √[8² + 0²] = √8² = 8 units

∴ JK = √[(2 - 2)² + (-8 - 2)²] = √[0² + (-10)²] = √10² = 10 units

∴ The area IJKL = 8 × 10 = 80 units²

# In rectangle MNOP

∵ M = (5 , 5) , N = (11 , 5) , O = (11 , -5)

∴ MN = √[(11 - 5)² + (5 - 5)²] = √[6² + 0²] = √6² = 6 units

∴ NO = √[(11 - 11)² + (-5 - 5)²] = √[0² + (-10)²] = √10² = 10 units

∴ The area of MNOP = 6 × 10 = 60 units²

# In rectangle QRST

∵ Q = (10 , 0) , R = (15 , 5) , S = (25 , -5)

∴ QR = √[(15 - 10)² + (5 - 0)²] = √[5² + 5²] = √[25 + 25] = √50 units

∴ RS = √[(25 - 15)² + (-5 - 5)²] = √[10² + (-10)²] = √[100 + 100] = √200 units

∴ The area of QRST = √50 × √200 = 100 units²

# In rectangle UVWX

∵ U = (0 , 5) , V = (15 , 20) , W = (25 , 10)

∴ UV = √[(15 - 0)² + (20 - 5)²] = √[15² + 15²] = √[225 + 225] = √450 units

∴ VW = √[(25 - 15)² + (10 - 20)²] = √[10² + (-10)²] = √100 + 100 = √200 units

∴ The area of UVWX = √450 × √200 = 300 units²

Will mark as brainliest!!

Lorenz wants to build a bigger flower box for his home. The current box has dimensions of 18“ x 12“ x 36“. What happens to the volume of the box if you double each dimension

Answers

Answer:

The answer is 62208

Step-by-step explanation:

The reason is because 18*2=36 12*2=24 and 36*2=72

36*24*72=62208

Can I get brainliest

If the mean of a normal distribution is 18, what is the median of the distribution?

A) 22

B) 26

C) 14

D) 18

Answers

D. Normal distributions are symmetric, so the mean is the same as the median.

Answer:

18

Step-by-step explanation:

Brainliest + Points! Can someone please HELP ME


A spring has spring constant 0.3 m/newton. What force is necessary to stretch the spring by 1.5 meters?


Use Hooke's Law, F = kx. Show all your steps.

Answers

In the equation F=kx, F is the force, k is the spring constant, and x is the displacement.  Plug in and solve:

F=0.3(1.5)

F=0.45N

Hope this helps!!

What is the value of x? Enter your answer in the box

Answers

x = 180° - 67° - 52°

x = 61°

So, the value of x is 61°

Lisa lives in Atlanta. She is going to a baseball game with her two sisters and her parents. They have $100 to spend. After they buy their tickets, how much money will they have left to buy refreshments?

Answers

Answer:

27.90

Step-by-step explanation:

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The amount of money that is left with Lisa after buying tickets is $27.90.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The total number of members in the family is 5 (Parents+2sisters+Lisa). Also, the cost of a single ticket in Atlanta is $14.42, therefore, the cost of five tickets will be,

The cost of 5 tickets = $14.42 × 5 = $72.10

The amount Lisa has to spend is $100, therefore, the money left with Lisa after buying the tickets is,

Amount left = $100 - $72.10 = $27.90

Hence, the amount of money that is left with Lisa after buying tickets is $27.90.

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if f(x)=x-2 which of the following is the inverse of f(x) brainly

Answers

Answer:

The inverse of f(x) is  [tex]f ^ {- 1}(x) = x + 2[/tex]

Step-by-step explanation:

To find the inverse of the function [tex]f (x) = x-2[/tex], perform the following steps:

1) do [tex]y = f (x)[/tex]

[tex]y = x-2[/tex]

2) Solve the equation for the variable x.

[tex]y + 2 = x -2 +2[/tex]

[tex]y + 2 = x[/tex]

3) exchange the variable x with the variable y

[tex]y + 2 = x[/tex] ----> [tex]x + 2 = y[/tex]

4) Change the variable y by [tex]f ^{- 1}(x)[/tex]

Finally the inverse function is:

 [tex]f ^ {- 1} (x) = x + 2[/tex]

Answer:

f-1(x)=x+2

Step-by-step explanation:

Ashley is thinking of two numbers. The first number is four more than twice the second number. The sum of the two numbers is 16. Which system of equations can be used to determine the first number, x, and the second number, y?

Answers

x + y = 16

x = y^2 x 4

i hope this helps :)

good luck

What should be the next number in the following series? 1 2 8 48 384 _ ?_

Answers

The answer should be 3840

The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate for a person who does not have the virus. In a given population, 0.55% of the people are infected. The probability that a randomly chosen person gets an incorrect result is .

Answers

[tex]\textrm{97 percent accurate for individual with the virus}[/tex]

[tex]\text{3 percent inaccurate}[/tex]

[tex]\textrm{99 percent accurate for an individual}[/tex]

[tex]\textrm{1 percent inaccurate probability}[/tex]

[tex]\textrm{Probability of infected:}[/tex]

[tex].0055[/tex]

[tex]\textrm{Probability of not being infected}[/tex]

[tex]1 - .0055 = .9945[/tex]

[tex]\textrm{Combine it all together}[/tex]

[tex]0.0055 * 0.03 + 0.9945 * 0.01 = 0.01011[/tex]

[tex]\textrm{The probability that a randomly chosen person gets an incorrect result is 0.01011}[/tex]

[tex]\textbf{Answer}[/tex]

[tex]\textrm{0.01011}[/tex]

Final answer:

The probability of an incorrect result for the test to detect respiratory syncytial virus is calculated by considering the test's sensitivity and specificity, along with the prevalence of the virus in the population.

Explanation:

In order to calculate the probability that a randomly chosen person gets an incorrect result, we first need to understand how test accuracy works. Sensitivity refers to how often the test correctly identifies the presence of a disease when it is indeed there, while specificity refers to how often it correctly identifies the absence of a disease when it isn't there. In this case, the sensitivity is 97%, meaning it correctly identifies the virus in 97% of individuals who have the virus; the specificity is 99%, meaning it correctly identifies no virus in 99% of individuals who do not have the virus.

For the given population, 0.55% are infected. Hence, the probability of an incorrect result for a person with a virus is 3% (100% - 97%), and for a person without the virus is 1% (100% - 99%). Therefore, the total probability of getting an incorrect result is (0.55%/100 * 3%) + [(1 - 0.55%/100) * 1%].

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The clothes is having a 60% off sale for shorts. Ben paid $14 for the shorts. What is the original price

Answers

Answer:

$35

Step-by-step explanation:

since it is 60% off, $14 is 40% of original price.

1% of original price (original price is 100%)

= $14 ÷ 40

= $0.35

original price

= $0.35 × 100

= $35

Evaluate 7 − (−1).

6

−6

8

−8

Answers

Answer:

  8

Step-by-step explanation:

The minus sign outside parentheses changes the sign of what's inside parentheses when parentheses are eliminated:

  7 -(-1) = 7 +1 = 8

_____

Alternate way to think about it

Subtraction is the same as addition of the opposite. The opposite of -1 is +1, so subtracting -1 is the same as adding +1.

Other Questions
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