what is the solution to this equation -3x=52

Answers

Answer 1

Answer:

-17.3

Step-by-step explanation:

To solve for x, we can divide both sides by -3:

x = -52 / 3 which = -17.3

Answer 2

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{ - 17.33}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 3x = 52}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 17.33}[/tex]

Hope I helped!

Best regards!!


Related Questions

Jerry wants to gravel an area represented by a square with side lengths of 3/4ft. What is the area he needs to fill.

Answers

Answer:

0.5625 ft^2

Step-by-step explanation:

area of square = side * side

A = s^2

A = (0.75 ft)^2 = (0.75 ft)(0.75 ft) = 0.5625 ft^2

Freddy the frog is climbing up a well. Every day he climbs up 3 m but some nights he falls asleep and slips back 4m at the start of the 16th day he has climbed a total of 29 m. On how many nights was he asleep?

Answers

Answer: The frog fell asleep for 4 nights.

Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.

How many bicycles and how many skateboards are in the shop? Show your work.

Answers

Answer:75

Step-by-step explanation:54+21

Answer:

15 bicycles, 6 skateboards

Step-by-step explanation:

We are looking for the number of skateboards and the number of bicycles. Those two numbers are our unknowns.

We define variables for those two numbers.

Let s = number of skateboards.

Let b = number of bicycles.

A skateboard has 4 wheels. s number of skateboards have 4s wheels.

A bicycle has 2 wheels. b bicycles have 2b wheels.

The total number of wheels is 4s + 2b.

The total number of wheels is 54, so our first equation is

4s + 2b = 54

The total number of skateboards and bicycles combined is s + b.

We are told the total number of skateboards and bicycles combined is 21.

The second equation is

s + b = 21

We have a system of two equations in two unknowns.

4s + 2b = 54

s + b = 21

We can solve it by the elimination method.

Rewrite the first equation below.

Multiply both sides of the second equation by 2 and write it below that. Then add the equations.

          4s + 2b = 54

(+)      -2s - 2b = -42

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

          2s         = 12

s = 6

There are 6 skateboards.

Now we substitute 6 for s in the second original equation and solve for b.

s + b = 21

6 + b = 21

b = 15

There are 15 bicycles.

Answer: 15 bicycles, 6 skateboards

The function f(x)=x^2 + ax + b has a minimum at (3,9) what are the values of a and b

Answers

Answer:

Step-by-step explanation:

The function is f(x)=x^2 + ax + b

Derivate the function:

● f'(x)= 2x + a

Solve the equation f'(x)=0 to find a

The minimum is at (3,9)

Replace x with 9

● 0 = 2×3 + a

● 0 = 6 + a

● a = -6

So the value of a is -6

Hence the equation is x^2 -6x+b

We have a khown point at (3,9)

● 9 = 3^2 -6×3 +b

● 9 = 9 -18 + b

● 9 = -9 +b

● b = 18

So the equation is x^2-6x+18

Verify by graphing the function.

The vetex is (3,9) and it is a minimum so the equation is right

help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?

Answers

Answer:

72

Step-by-step explanation:

As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.

Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9

2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units

Solution : 72 unit cubes

6=m/8 whats does m equal?

Answers

Answer:

m=48

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

m = 48

▹ Step-by-Step Explanation

Rewrite:

m/8 = 6

Use the inverse operation:

8 * 6 = 48

m = 48

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.
-3x + y = 8
3y = 9x
y=- jx
16x + 2y = 12

Answers

Answer:

-3x + y = 8.

3y = 9x.

Step-by-step explanation:

To find the slope of the lines we convert to slope-intercept form, which is

y = mx + c   (m is the slope.)

The slope of y = 3x + 5 is therefore 3.

Parallel lines have the same slope.

Finding the slope of the given lines:

-3x + y = 8

y = 3x + 8  - slope is 3 so this is parallel to  y = 3x + 5.

3y = 9x

Divide through by 3:

y = 3x  - so this is also parallel to 3x + 5.

y = -jx  The slope is -j so it is not parallel.

16x + 2y = 12

2y = -16x + 12

y = -8x + 6  - Not parallel.

classify what type of number is 8/2

Answers

Answer:

unsimplified improper fraction

Step-by-step explanation:

8/2 could be simplified into 4 and its an improper fraction bc proper fraction form is 4/1 or just 4

What is the slope of the line below?
y=2/3 X - 3

Answers

Answer:

2/3

Step-by-step explanation:

Hey there!

Well in the equation,

y = 2/3x - 3

the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.

Hope this helps :)

Is f(x) =(x+5)2 a function, an odd function, both or neither

Answers

Answer: Neither even, nor odd

Explanation:

f(x) = (x+5)^2 = x^2+10x+25 = x^2+10x^1+25x^0

The exponents for that last expression are 2, 1, 0

The mix of even and odd exponents in the standard form means f(x) is neither even nor odd. We would need to have all exponents even to have f(x) even, or have all exponents odd to have f(x) be odd.

find the last common denominator for these two rational expressions

Answers

Answer:

Least common denominator = (x - 1)²(x - 2)

Step-by-step explanation:

Least common denominator of two rational expressions = LCM of the denominator of the expressions.

[tex]\frac{x^3}{x^2-2x+1}[/tex] and [tex]\frac{-3}{x^{2}-3x+2}[/tex]

Factorize the denominators of these rational expressions,

Since, [tex]x^{2}-2x+1[/tex] = x² - 2x + 1

                             = (x - 1)²

And x² - 3x + 2 = x² - 2x - x + 2

                         = x(x - 2) -1(x - 2)

                         = (x - 1)(x - 2)

Now LCM of the denominators = (x - 1)²(x - 2)

Therefore, Least common denominator will be (x - 1)²(x - 2).

Please answer this question now

Answers

Answer:

Surface area of a cone = 461.58 In²

Step-by-step explanation:

Surface area of a cone = πrl + or

Surface area of a cone = πr(r+l)

Where r = radius

Radius= diameter/2

Radius=14/2

Radius= 7 inch

And l slant height= 14 inch

Surface area of a cone = πr(r+l)

Surface area of a cone = π*7(7+14)

Surface area of a cone = 7π(21)

Surface area of a cone = 147π

Surface area of a cone = 461.58 In²

7x-x ............................ .

Answers

Answer:

6x

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

HELP ASAP MATH QUESTION The midpoint of a line segment is located at (3, -2). If one of the endpoints is (1, 6), what is the other endpoint? Express your answer as an ordered pair.

Answers

Answer:

(5, -10)

Step-by-step explanation:

[tex]Midpoint = (3,-2)\\1st \: endpoint = (1,6)\\2nd \: endpoint = ?\\\\\\Let \: (1,6) \:be \:x_1y_1\\Let\:(3,-2)\: be\:x\:and\:y\\\\x=(x_1+x_2)/2\\y=\frac{(y_1+y_2)}{2} \\\\3 =\frac{1+x_2}{2} \\\\3\times 2 =1+x_2\\\\6 = 1+x_2\\6-1=x_2\\\\x_2 =5\\\\y=\frac{(y_1+y_2)}{2} \\-2 = \frac{6+y_2}{2}\\\\ -2 \times 2= 6+y_2\\\\-4 = 6+y_2\\\\-4-6=y_2\\\\y_2 = -10\\\\Answer = (5 ,-10)[/tex]

(x+3)(x-5)=(x+3)(x−5)=

Answers

Answer:

(x+3)(x-5)=(x+3)(x-5)

      x^2-2  = x^2-2

Step-by-step explanation:

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Let's solve your equation step-by-step.

[tex]( x + 3) ( x - 5) = ( x + 3 ) ( x - 5 ) =[/tex]

Step 1: Simplify both sides of the equation.

[tex]x^2 - 2x - 15 = x^2 - 2x - 15 - x^2\\-2x - 15 = -2x - 15[/tex]

Step 3: Add 2x to both sides.

[tex]-2x - 15 = -2x - 15\\-15 = -15[/tex]

Step 4: Add 15 to both sides.

[tex]-15 + 15 = -15 + 15 \\0 = 0[/tex]

Answer : All real numbers are solutions.

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

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the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower​

Answers

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the  distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]

The height of the tower is 30.51 meters

Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?

Answers

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(C) 0, 1, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]

                [tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Solve the equation below for y. 6x – 3y = 36 A. y = 2x − 12 B. y = 12 − 2x C. y = 12x + 6 D. y = 6 – 12x

Answers

Answer:

y=-12+2x

Step-by-step explanation:

The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

Given is an equation 6x - 3y = 36, we need to solve for y.

To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 6x - 3y = 36

Get rid of the constant term (36) on the right side by subtracting 36 from both sides:

6x - 3y - 36 = 36 - 36

6x - 3y = 0

Divide both sides of the equation by -3 to isolate y:

(6x - 3y) / -3 = 0 / -3

(6x)/(-3) - (3y)/(-3) = 0

-2x + y = 0

Add 2x to both sides to isolate y:

-2x + y + 2x = 0 + 2x

y = 2x

So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

Learn more about Equations click;

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which transformations can be used to map a triangle with vertices A(2, 2), B(4,1), C(4, 5) to A'(-2,-2), B'(-1.-4). C'(-5, -4)?​

Answers

Answer:

C!

Step-by-step explanation:

A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number.

Answers

A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number. Construct and interpret a 95% confidence interval for the proportion of all US adults that think 2 children is the ideal number.

Answer:

at 95% Confidence interval level: 0.501776   < p < 0.558224

Step-by-step explanation:

sample size n = 1200

population proportion [tex]\hat p[/tex]= 53% - 0.53

At 95% confidence interval level;

level of significance ∝ = 1 - 0.95

level of significance ∝ = 0.05

The critical value for [tex]z_{\alpha/2} = z _{0.05/2}[/tex]

the critical value [tex]z _{0.025}= 1.96[/tex] from the standard normal z tables

The standard error S.E for the population proportion can be computed as follows:

[tex]S,E = \sqrt{\dfrac{\hat p \times (1-\hat p)}{n}}[/tex]

[tex]S,E = \sqrt{\dfrac{0.53 \times (1-0.53)}{1200}}[/tex]

[tex]S,E = \sqrt{\dfrac{0.53 \times (0.47)}{1200}}[/tex]

[tex]S,E = \sqrt{\dfrac{0.2491}{1200}}[/tex]

[tex]S,E = 0.0144[/tex]

Margin of Error E= [tex]z_{\alpha/2} \times S.E[/tex]

Margin of Error E= 1.96 × 0.0144

Margin of Error E= 0.028224

Given that the confidence interval for the proportion  is  95%

The lower and the upper limit for this study is as follows:

Lower limit: [tex]\hat p - E[/tex]

Lower limit: 0.53 - 0.028224

Lower limit: 0.501776

Upper limit: [tex]\hat p + E[/tex]

Upper limit: 0.53 + 0.028224

Upper limit: 0.558224

Therefore at 95% Confidence interval level: 0.501776   < p < 0.558224

Ella's pet snake is 42 inches long, and Roya's pet snake is 8 feet long. How many inches longer is Roya's snake?

Answers

Royas snake is 96 in long
96-42=54 so royas snake is 54 in longer

Answer:

54 inches

Step-by-step explanation:

First, let's convert the measurements into a common measurement.

Since inch is the smallest measurement here, let's use that.

Ella's pet snake is 42 inches long.

Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.

Therefore, Roya's snake is 96 inches long.

To find out how many inches longer is Roya's snake, subtract:

96 - 42 = 54.

Therefore, Roya's snake is 54 inches longer than Ella's.

There are two types of boxes containing mangoes. Each box of the larger type contains 4 more mangoes than the number of mangoes contained in 8 boxes of the smaller types. Each box has 100 mangoes. Find the number of mangoes contained in the smaller box.

Answers

Answer:

12 mangoes

Step-by-step explanation:

Two types of boxes contains mangoes

The larger box contain 4 mangoes than the number of mangoes that is present in 8 smaller box

Each of the box have a total of 100 mangoes

Let y represent the number of mangoes that is present in the smaller box

Therefore, the number of mangoes in the smaller box can be calculated as follows

8y + 4= 100

Collect the like terms

8y= 100-4

8y= 96

Divide both sides by the coefficient of y which is 8

8y/8= 96/8

y= 12

Hence the number of mangoes that is present in the smaller box is 12


Hey, please help solve the question.​

Answers

Answer:

75%=x-125

90%=x+250

subtract the second from the first

15%=375

100%=?

100%×375/15

100%=2500marked price is 2500

2500+250=2750

90%=2750

100%=?

cost price=3055.56

The graph below represents which of the following functions?

Answers

Answer:

Option (B).

Step-by-step explanation:

From the figure attached,

There are two pieces of the function defined by the graph.

1). Curve with the domain (-∞, 2)

2). Straight line with domain (2, ∞)

1). Function that defines the curve for x < 2,

  f(x) = |4 - x²|

2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]

  f(x) = x

Therefore, Option (B) will be the answer.

Four different animals live in the forest. They sleep during the daytime and hunt at night. They have similar physical characteristics but their skin colors are different as shown in the following table. Animal Skin Color A White B Brown with white spots C Dark brown D Black and white stripes Which animal is least likely to be captured by predators? Animal A Animal B Animal C Animal D

Answers

Answer:

I would gues c because brown is the hardest to see in the dark

Answer:

C dark brown

Step-by-step explanation:

solve for x 7(x-3)+3(4-x)= -8

Answers

Answer:

Step-by-step explanation:

7x - 21 + 12 - 3x = -8

4x - 9 = -8

4x = 1

x = 1/4

Answer:

x= 0.25, or x=1/4

Step-by-step explanation:

First, use the distributive property and multiply 7 within the parenthesis:

7x -21

Next, use the distributive property again, and multiply 3 within the parenthesis:

12 -3x

Combine Like terms: 7x - 21 + 12 - 3x

4x - 9

Add 9 to both sides: 4x - 9 = -8

-8 + 9 = 1

Divide 4 by both sides: 4x = 1

1 / 4 = .25 or 1/4

PLEASE help me solve this question! No nonsense answers, and attach full solutions please!

Answers

Answer:

6.4 seconds

Step-by-step explanation:

Using the second equation of motion.

d= 200m/s.

a= 9.8ms^-1 . Acceleration due to gravity.

t= time.

substituting,

t=

[tex] \sqrt{2 \times \frac{200}{9.8} } [/tex]

t= 6.4 seconds

What is 20 to 7 minus 1 hour 40 mins Will award brainliest

Answers

6:40 or 6 hour 40 minutes,

if you go back(subtract) 1 hour and 40 minutes

i.e. 6hours 40 minutes- 1 hour 40 minutes

subtract minutes from minutes and hours from hours,

5:00

note that here the minutes value is not negative so it was not a problem, what If it was 6:40-1:50?

Factor completely 3x^2 + 5x + 1. (3x + 1)(x + 1) (3x + 5)(x + 1) (3x − 5)(x + 1) Prime

Answers

Answer:

prime

Step-by-step explanation:

3x^2 + 5x + 1

3x^2  factors in to 3x and x

1 factors into 1 and 1

( 3x   + 1) ( x+1)

We need to verify the middle is 5

3x+1x = 4x

so this is not true

We cannot factor this so it is prime

Answer:

[tex]\large \boxed{\sf Prime}[/tex]

Step-by-step explanation:

[tex]3x^2 + 5x + 1[/tex]

We need to find two numbers that add to 5 and multiply to get 1.

There are no real numbers.

The expression cannot be factored. The expression is prime.

Quiana took out a loan to pay for a new car. Initially she owned the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net changed to the loan from Quiana's perspective over the past 5 months?

Answers

Answer:

[tex]Net\ Change = \$13997.53[/tex]

Step-by-step explanation:

Given

[tex]Debt = \$15,234.68[/tex]

[tex]Monthly\ Payment= \$247.43[/tex]

[tex]Duration = 5\ months[/tex]

Required

Determine the net change

First, we need to determine the total repaid amount;

[tex]Amount = Monthly\ Payment * Duration[/tex]

Substitute values for Monthly Payment and Duration

[tex]Amount = \$247.43 * 5[/tex]

[tex]Amount = \$1237.15[/tex]

The net change is the difference between the loan amount and the repaid amount

[tex]Net\ Change = Loan\ Amount - Repaid\ Amount[/tex]

[tex]Net\ Change = \$15,234.68 - \$1237.15[/tex]

[tex]Net\ Change = \$13997.53[/tex]

Hence, the net change over the period of 5 months is $13997.53

Answer: Quiana's initial loan amount is -15, 234.68. This is the total amount of money she must pay back to the lender.

Other Questions
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