Answer:
50
Step-by-step explanation:
because <TMS is a right angle 90 degrees and also it is congruent with <TMR
so 90 - 40 = 50 that is the correct answer.
Hope this helped!!
5. Isaiah inherited $7,000 and plans to deposit it into a savings account that earns 6% interest.
Isaiah wants to compare the interest earnings after 60 months based on whether the account
earns simple or compound interest. After using each formula below, Isaiah subtracts the
solutions and determines that after 60 months, the account with compound interest would earn
$7,267.58 more in interest. Do you agree with Isaiah's thinking? Explain why or why not.
Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.
Does compound interest earn more than simple interest?Let P be the principal amount of $7,000
Let r be the annual interest rate of 6%
Let n be the number of compounding periods per year.
Using formula for simple interest: I = Prt, the interest earned after 60 months is:
I = 7,000 × 0.06 × 5
I = $2,100.
Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:
\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)
The interest earned is:
I = A - P
I = $9441.95 - $7,000
I = $2,441.95.
The difference in interest earned between compound and simple interest is:
= $2,441.95 - $2,100
= $341.95.
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4. Referring back to question 3. Determine the five vertices of the feasible region, given the constraints
2x + 6y ≤ 30
X ≤ 9
Y ≤ 3
X ≥ 0
y ≥ 0
Select all answers below that are vertices of the feasible region
A ( 0,0) F(0,9)
B(0,3). G(9,3)
C(9,3). H (9,2)
D ( 0,5). I ( 9,0)
E(6,3). J ( 3,6)
O( 0,0 ) A(9 , 0 ) D( 0,3 ) ( 9, 2) , ( 6 , 3 ) that are vertices of the feasible region.
What do math vertices mean?
The spots where two or more line segments or edges intersect are known as vertices in forms (like a corner). Vertex is the singular form of vertices. For instance, a cone only has one vertex whereas a cube has eight. Although vertices are occasionally referred to as corners, the term "vertex" is preferable when discussing 2D and 3D designs.The line 2x + 6y = 30
when x = 9 , 18 + 6y = 30
y = 2
So B = ( 9, 2)
So, C= ( b , 3 )
then , we can show O( 0,0 ) A(9 , 0 ) D( 0,3 )
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Select the correct answer. What is the simplest form of the ratio 11 : 16? A. 1 : 6 B. 5 : 8 C. 11 : 16 D. 22 : 32
Answer:
C. 11:16
Step-by-step explanation:
It is C, it can't go simpler bcs of 11
if it is accepted that an observed association is a causal one, an estimate of the impact that a successful preventive program might have can be derived from:
The estimate of the impact that a successful preventive program might have can be derived from
attributable risk.
What is an attributable risk?In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.
Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.
The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.
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a flashlight has six batteries, two of which are defective. if two are selected at random without replacement, f
A flashlight has six batteries, two of which are defective. if two are selected at random without replacement, then the probability that both selected batteries are defective is 1/15.
To find the probability that both selected batteries are defective, we need to calculate the probability of selecting a defective battery on the first draw, and then the probability of selecting another defective battery on the second draw.
There are a total of 6 batteries, and 2 of them are defective. So, the probability of selecting a defective battery on the first draw is 2/6.
After the first draw, there will be 5 batteries remaining, and 1 defective battery remaining. So, the probability of selecting another defective battery on the second draw, without replacement, is 1/5.
To find the probability of both events occurring, we multiply the probabilities:
P(both defective) = P(defective on first draw) * P(defective on second draw)
= (2/6) * (1/5)
= 1/15
Therefore, the probability that both selected batteries are defective is 1/15.
The question should be:
A flashlight has six batteries, two of which are defective. If two are selected at random without replacement, find the probability that both are defective.
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A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40
By using the given domain and range, we will see that the false statements are:
1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88Which statement is false?
What we know about the function f(x) is:
The domain is: -10 ≤ x ≤ 20
The range is: -40 ≤ f(x) ≤ -10
Which statements are false:
1) f(0)= 0
This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.
2. f(1) = 13
Same reasoning than above, 13 is outside of the range.
3. f(-15) =- 20
The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.
4) f(-9) = 88
88 is outside the range of the function, so this is false.
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knowing that in 2014 there were 375,160 births in poland where the population counted 38,346,279 people, calculate the crude birth rate for this country. give your answer to the second decimal place.
Using the formula for the crude birth rate we find out that the crude birth rate for the country Poland is 9.78.
It is given to us that -
There were 375,160 births in Poland
The population counted 38,346,279 people
We have to find out the crude birth rate for this country.
The crude birth rate of a country can be defined as the ratio between the number of live births that happened in a population for a given year and the total population of the country for that particular year and then multiplying the ratio by 1000.
So, the crude birth rate for the country, Poland with 375,160 births and population of 38,346,279 people can be given as -
\((\frac{375160}{38346279}) * 1000\\= 9.78\)
Therefore, the crude birth rate for the country Poland is 9.78.
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Please help answer this question!
Answer:
The answer will be 8.38709677419
What is the measure of the indicated angle
Answer:
C. 123°
Step-by-step explanation:
First, we see that the red arrows indicate the two horizontal lines are parallel. Parallel lines have certain properties with regards to corresponding angles.
Notice that the angle labelled with a question mark "?" and the angle marked 123 degrees are same-side angles, or corresponding angles. By definition, then, they are equivalent in measure.
Thus, the indicated angle is also 123 degrees, so the answer is C.
Answer:It's 123°(being corresponding angle)
Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me
..
Margaret is building storage boxes. each box will have a length of 8 feet, a width of 512 feet, and a height of 412 feet. a pint of paint covers 50 square feet. how many pints of paint does margaret need to buy in order to paint 3 boxes? 7 pints 10 pints 12 pints 13 pints
The surface area of a cuboid is the area of all the six faces of a cuboid. The Paint that is required to paint 3 boxes is 13 pints.
What is the surface area of a cuboid?The surface area of a cuboid is the area of all the six faces of a cuboid. It is given by the formula,
\(\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)]\)
As it is given the dimensions of the storage box are a length of 8 feet, a width of 5 1/2 feet(5.5 feet), and a height of 4 1/2 feet(4.5 feet). Therefore, the surface area of the box can be written as,
\(\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)]\)
\(\rm \text{Surface area of the box}= 2[(8\times 5.5)+(5.5\times 4.5)+(8 \times 4.5)] = 209.5\ ft^2\)
As it is given that the surface area that can be covered with a pint of paint is 50 square feet, therefore, the paint that will be required to paint 209 square feet is,
\(\text{Paint Required} = \dfrac{\text{Total area that is needed to be paint}}{\text{Area covered in a pint of paint}}\)
\(\rm \text{Paint Required} = \dfrac{209.5}{50} = 4.19\ pints\)
Now, we know that the surface area of the box is 209 square feet, while the paint required to paint a complete box is 4.19, therefore, the paint that will be required to paint 3 boxes will be,
\(\text{Paint required to paint 3 boxes} = 3 \times 4.19 = 12.57 \approx 13\)
Hence, the Paint that is required to paint 3 boxes is 13 pints.
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Distributive property and Combine like terms
Answer:
k = 55
Step-by-step explanation:
First clear the fraction by multiplying all three terms by 5. We get:
k - 10 = 45
Adding 10 to both sides results in
k = 55 (after having combined like terms)
mathematic, please answer
solve k:
8k-12=3
Step-by-step explanation:
8k - 12 = 3
8k = 3 +12
8k = 15
k = 15/8
k = 1.875
Answer:
8k-12=3
8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]
8k=15
k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]
k=1.875
△abc has a right angle at c, bc=9.2 centimeters, and m∠a=63∘. what is ca ? enter your answer rounded to the nearest tenth in the box. cm
The box's CA measures 4.7 cm in length.
Given data;
△ABC has a right angle at C, BC = 9.2 centimeters, and ∠A=63°
To know CA;
Let CA = x
As per the given case,
In a triangle sum of angles = 180°
90° + 63° + C = 180°
C = 27°
Now,
From the △ABC;
tan 63° = 9.2/x
x = 9.2/tan 63°
x = 4.687
x = 4.7
Therefore, the length of CA in the box is 4.7 cm
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Which set of statements shows the correct steps to find 45 percent of 75?
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 1.67.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 16.7.
Answer:
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75
The value of 45 percent of 75 is 33.75 and this can be determined by using the unitary method and the given data.
Given :
Number --- 75
The following steps can be used in order to determine the 45 percent of 75:
Step 1 - The unitary method can be used in order to determine the 45 percent of 75.
Step 2 - According to the given data, the given number is 75 which is 100%.
Step 3 - So, if 100% is 75 then the value of 45% is:
\(=\dfrac{45}{100}\times 75\)
Step 4 - Simplify the above expression.
= 33.75
Therefore, the correct option is A).
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Evaluate the expression 2c-4d if c = 8 and d - -5
-4
16
36
3
Answer:
The answer is 36
Step-by-step explanation:
=16-4(-5)
=16-(-20)
=36
The ratio of chickens to pigs on a farm is 16 to 6. Simplify the ratio. Enter your answer by filling in the boxes. PLS HELP ME I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST (100 POINTS!!!)
Answer:
8 : 3
Step-by-step explanation:
chickens: pigs
16 : 6
Divide each side by 2
16/2 : 6/2
8 : 3
The simplified ratio is 8 : 3
Answer:
8:3Step-by-step explanation:
Given that,The ratio of chickens to pigs are 16 to 6
We have to simplify the ratio
so,
16:6by dividing 2 on both sides16/2:6/28:3Write a verbal statement that represents the expression
h
÷
8
.
Answer:
the variable h divided by 8. The quotient of h and 8
Step-by-step explanation:
What is 14x + 7y = 17 in slope-Intercept form?
Answer: y = -2x + 2 3/7
Step-by-step explanation:
The slope-intercept form is y = mx + b
Start:
14x + 7y = 17
Subtract 14 from each side to get y alone:
7y = -14x + 17
Divide by 7 on each side:
y = -2x + 2 3/7
Hope this helps!
What are the answers? I cant figure it out.
Answer:
sines: AAS, ASA, SSAcosines: SAS, SSSambiguous: SSAStep-by-step explanation:
You want to identify the solution process used for triangles when the information given is AAS, ASA, SSA, SAS, SSS. And you want to identify which of these cases is ambiguous.
Law of sinesThe law of sines is useful when an angle and its opposite side are given, and one more of an angle or side.
In the ASA case, the angle opposite the side must be figured from the other two, but that is still solved using the law of sines.
The law of sines is used for AAS, ASA, and SSA.
Law of cosinesThe law of cosines is useful for solving the triangle when two sides and the angle between are given or when all three sides are given.
The law of cosines is used for cases SAS and SSS.
AmbiguousAll of these abbreviations, except SSA, are representative of congruence postulates. The reason that SSA is not a congruence postulate is that it can be an ambiguous case. If the angle is opposite the smaller given side, then there may be two (or no) solutions to the triangle.
The ambiguous case is SSA.
__
Additional comment
Essentially, HL is equivalent to SSA congruence. The reason it can be used in that case is that the angle (90°) is known to be opposite the longest side (H).
<95141404393>
Determine which equation is false, based on the solution set S:{3}.
2t = 6
2(2c + 1) = 14
4m + 5 = 12
8 = 3p − 1
Answer:
4m+5=12
Step-by-step explanation:
4(3)+5#12
right hand side is not equal to left hand side
Answer: 4m+5=12
Step-by-step explanation:
John is buying a TV that costs $1250. He currently has $200 saved and is
saving an additional $50 per week. How many weeks will it take John to
have $1250 saved?
Your answer
Answer:
21 weeks or 5 months 1 week (7 days) to save 1250
Step-by-step explanation:
1250-200 (the amount he has)
1050 which is what he needs to save for
1050/50 = 21
Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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What inspires you to make you accomplish your dream job/career
I'm not trying to be nosy just a question hopefully a kind and respectful one
I will give brainest to both ppl who answer and go on there profile and thank them
Answer:
i always think of my future...i want to be a doctor when i grow up and the prospect of growing up to help other people makes me motivated to help myself to reach that goal. Becoming a doctor is really hard work, but just focusing and visualizing my future helps me stay motivated.
Which function is most likely graphed on the coordinate plane below?
If one person travels 3320 miles and another person jogs 1800 yards, how much farther did the person travels then the person jogging
The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold.
Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
The correct option is the third one; (14, 4); The vertex represents the maximum profit.
How to find the vertex of the quadratic?For a general quadratic equation
y = ax² + bx + c
The vertex is at the x-value:
x = -b/2a
Here the quadratic function is:
f(x)= -x² + 28x - 192
The vertex is at:
x = -28/2*-1 = 14
Evaluating in x= 14 we get:
f(14) = -14² + 28*14 - 192 = 4
So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.
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Find the bit error probability for an Amplitude Shift Keying (ASK) system with a bit rate of 4 Mbit/s. The received waveforms s/(t) = Asin(act) and s2(t) = 0 are coherently detected with a matched filter. The value of A is 1 mV. Assume that the single-sided noise power spectral density is N₁ = 10-¹¹W/Hz and that signal power and also energy per bit are normalized to a 1 22 load.
The Bit Error Probability (BER) for an Amplitude Shift Keying (ASK) system with a bit rate of 4 Mbit/s is 0.0107. The received waveforms s₁(t) = Asin(2πft) and s₂(t) = 0 are coherently detected with a matched filter.
The value of A is 1 mV. The bit rate of the system is 4 Mbit/s.The single-sided noise power spectral density is N₁ = 10⁻¹¹ W/Hz. Signal power and also energy per bit are normalized to a 1 Ω load.
Amplitude Shift Keying (ASK) is a digital modulation technique that employs two or more amplitude levels to transmit digital data over the communication channel. The amplitude of the carrier signal varies with the modulating signal that contains the message signal, and the message signal is transmitted by varying the amplitude of the carrier wave. To detect the modulating signal, the ASK system uses a coherent detector with a matched filter. Bit Error Rate (BER)The Bit Error Rate (BER) is defined as the number of bits received in error compared to the total number of bits that were transmitted during a given time interval. The BER measures the digital communication system's performance and the transmission accuracy of the digital signal.
BER = 1/2 erfc [ √(Eb/No) ]. The formula to calculate Bit Error Probability for Amplitude Shift Keying (ASK) is given as BER = (1/2) erfc [ √(Eb/N₀) ] whereN₀ is the single-sided power spectral density of the noise Eb is the energy per bit of the signal.
We know that,
N₁ = 10⁻¹¹ W/Hz= 10⁻¹⁴ W/mHz, (Since 1 Hz = 10⁶ mHz)
A = 1 mV= 10⁻³ VEb = 1/2 A²= 1/2 (10⁻³)²= 5 × 10⁻⁷ J/bit,
(Energy per bit, since signal power is normalized to a 1 Ω load)
Bit rate, R = 4 Mbit/s = 4 × 10⁶ bit/s.
Now, the power spectral density of the single-sided noise is given by,
N₀ = N₁ × BW= N₁ × (2R) = 10⁻¹⁴ × 8 × 10⁶= 8 × 10⁻⁸ W/Hz
We know that, BER = (1/2) erfc [ √(Eb/N₀) ].
Substituting the given values, we get:
BER = (1/2) erfc [ √(5 × 10⁻⁷/ 8 × 10⁻⁸) ]= (1/2) erfc [ √6.25 ]= (1/2) erfc [2.5] = 0.0107.
Hence, the Bit Error Probability (BER) for an Amplitude Shift Keying (ASK) system with a bit rate of 4 Mbit/s is 0.0107.
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Multiply monomials ( 6m^4 n^3 ) (7mn^5)
We will break down the terms and combine like terms before simplifying
\(\begin{gathered} \mleft(6m^4n^3\mright)(7mn^5)\text{ = (6 }\times m^4\times n^3\text{ )}\times\text{ (7}\times\text{ m}\times n^5) \\ \text{= 6 }\times m^4\times n^3\text{ }\times\text{ 7}\times\text{ m}\times n^5 \end{gathered}\)collect like terms:
\(\begin{gathered} \text{6 }\times m^4\times n^3\text{ }\times\text{ 7}\times\text{ m}\times n^5 \\ =\text{ 6 }\times\text{ 7}\times m^4\times\text{ m}\times n^3\times n^5 \\ =\text{ 6 }\times\text{ 7}\times m^4\times m^1\times n^3\times n^5 \\ \\ \text{when the exponents have same base, the exponents are brought together} \\ \text{If multiplication betw}een\text{ the terms, the exponents are added} \\ \text{if division betwe}en\text{ the terms, the exponents are substracted} \\ \\ =\text{ 6 }\times\text{ 7}\times m^{4+1}\times n^{3+5} \end{gathered}\)\(\begin{gathered} \text{simplify:} \\ =\text{ 42}\times m^{4+1}\times n^{3+5} \\ =\text{ 42}\times m^5\times n^8 \\ \\ =42m^5n^8 \end{gathered}\)Which product is modeled by the number line below? A number line going from negative 8 to positive 8. An arrow goes from 0 to negative 2, from negative 2 to negative 4, from negative 4 to negative 6, and from negative 6 to negative 8.
Answer: (-2)(4)
Step-by-step explanation:
The model could be explained as follows ;
Step 1 : 0 - - - - > - 2 = - 2 units
Step 2 : -2 - - - - > -4 = - 2 units
Step 3: - 4 - - - - > -6 = - 2 units
Step 4: - 6 - - - - > -8 = - 2 units
-2 units for reach of the 4 steps
Therefore, model is expressed as :
(-2) × 4
(-2)(4)
Kindly view detailed sketch and explanation in the picture attached.
Answer: (-2)(4)
Step-by-step explanation:
The model could be explained as follows ;
Step 1 : 0 - - - - > - 2 = - 2 units
Step 2 : -2 - - - - > -4 = - 2 units
Step 3: - 4 - - - - > -6 = - 2 units
Step 4: - 6 - - - - > -8 = - 2 units
-2 units for reach of the 4 steps
Therefore, model is expressed as :
(-2) × 4
(-2)(4)
5x = -5 and it has to show work pls
Answer:
x=-1
Step-by-step explanation:
5x=-5
\(x=\frac{-5}{5}=-1\)