What is the solution to the equation?



-6x - 3 = 21

Answers

Answer 1

Answer:

x = -4

Step-by-step explanation:

−6 − 3 = 21

−6 − 3 + 3 = 21 + 3

= −4

Answer 2

The solution to the equation -6x - 3 = 21 is x = -4.

We must separate the variable x on one side of the equation in order to determine the answer to the equation -6x - 3 = 21.

Here's how to accomplish that:

Step 1: Add 3 to both sides of the equation to start moving the constant term (in this example, -3), which is the first step:

-6x - 3 + 3 = 21 + 3

To put it simply, we have:

-6x = 24

Step 2: Subtract -6 from both sides of the equation to find the value of x:

(-6x) / -6 = 24 / -6

This can be written as x = -4.

Consequently, x = -4 is the answer.

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Related Questions

Which fraction is greater than the fraction represented by the model? *
Mark only one oval.

a. 1/4
b. 7/16
c. 1/8

Answers

the answer is 7/16 because it’s the highest decimal :)) hope this helps!

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=70°, and EF = 4.4 feet. Find the length of FD to the nearest tenth of a foot.

Answers

Answer:

FD= 1.6 ft

Step-by-step explanation:

Seems like an easy trig question so let's get to it.

1) Draw the right triangle to make it easier to solve (right triangle because we have a 90 degree angle)

2) Find the last angle measure by adding 90+70= 160 and 180-160= 20 so the last angle measure is 20.

3) Use trig function, tan20= x/4.4 to find the answer of x (FD) to be 1.6. Therefore, the FD value will be 1.6 ft.

t-shirt costs $12 A pair of shorts costs $25 Amira plans on spending no more than $160 and wants to buy more than 5 items.

Answers

Answer:

5 shirts and 4 pairs of shorts

Step-by-step explanation:

160-1 set (12+25=37)=123

123-1 set=86

86-37=49

49-37=12

12-1 t-shirt=0

Please please please helppp!!! BRAINLIEST FOR CORRECT ANSWER! Erin made a mistake when writing a transformation rule to translate points 2 units up and 4 units to the left.
Transformation rule: (x, y) -> (x + 2, y - 4)

A. What is wrong with Erins transformation rule?

B. What is the correct transformation rule?

Answers

Answer:

a. The x and the y values are flipped, it reads left 2 down 4

b. it should be (x+4, y+2)

Step-by-step explanation:

when it is plus on x it is left and when it is negative on y it is down

Help..rq................

Answers

Answer: -1/5

Step-by-step explanation:

Answer:

The second one -1/5.

Step-by-step explanation:

1-2=-1 for y and 10-5=5 for x -1/5.

If the probability that the Islanders will beat the Rangers in a game is 78%, what is
the probability that the Islanders will win at least five out of six games in a series
against the Rangers? Round your answer to the nearest thousandth.
Answer:
Submit Answer

Answers

Answer:

(17/25)^5 = 0.145393 = 14.539%

Step-by-step explanation:

78% = 78/100 or 17/25 simplified

probability of winning each game is 17/25

The probability that the Islanders will win at least five out of six games in a series against the Rangers is 0.4.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

The probability that the Islanders will win the Rangers in a game = 78%      ⇒ [tex]0.78[/tex]

The probability that the Islanders will lost the Rangers in a game is

⇒ [tex]1-0.78=0.22[/tex]

The probability that the Islanders will win at least five out of six games in a series against the Rangers is

⇒ [tex]6C_{5} (0.78)^{5}(0.22)^{1}[/tex]

⇒ [tex](6)(0.2887)(0.22)[/tex]            [∵ [tex]6C_{5} =6[/tex]]

⇒ [tex]0.3811[/tex] ≈ [tex]0.4000[/tex]

Hence we can conclude that the probability that the Islanders will win at least five out of six games in a series against the Rangers is 0.4.

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Review #3 (TYPE ANSWERS HERE)
10 of 1510 of 15 Items













Question
POSSIBLE POINTS: 2
10) A student has a cup containing 5 green, 5 red, 5 yellow and 5 orange skittles. The student randomly takes a skittle out of the cup (and replaces it) 20 times. The results are:

Red: 3 times

Yellow: 7 times

Orange: 4 times

Green: 6 times



What is the relative frequency (experimental probability) of getting an orange skittle?


.

What is the theoretical Probability of getting an orange skittle?

Answers

The correct answer would be - Orange 4 times

Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute

Answers

Answer:

80 ft

Step-by-step explanation:

Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.

Describe an Angle Bisector

Answers

Answer:

An angle bisector is a straight line that divides the angle into two equal parts.

Step-by-step explanation:

Answer:

The (interior) bisector of an angle, also called the internal angle bisector (Kimberling 1998, pp. 11-12), is the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the incenter.

Step-by-step explanation:

please mark me as brainlest

The straight line PQ with P(1,6) and Q(-6, 1). PQ is mapped onto P'Q' by a reflection in the line = 2. What are the coordinates of P

Answers

Answer:

[tex]P' = (1,-2)[/tex]

Step-by-step explanation:

Given

[tex]P = (1.6)[/tex]

[tex]Q = (-6,1)[/tex]

Reflection over: [tex]y = 2[/tex]

Required

Determine the coordinates of P'

From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2

Since we are to reflect over y = 2, only the y coordinate of P will be affected.

The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]

So, what to do is:

First, calculate the difference between the y coordinates of P and the line of reflection.

The y coordinate of P is 6 and the line of reflection is at y = 2.

So, the difference is: 6 -2 = 4

Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'

y coordinate of P' = 2 - 4 = -2

Hence, the coordinate of P' is: (1,-2)

Help me with this please
Which description best describes the graph
I will give you 35 points and please no random answer if you tried your best that’s ok!

Answers

Answer:

I think its always increasing. If u look from the left to the right. Im not sure about the question of this excercise.

Step-by-step explanation:

It starts from negative but if u imagine a triangle on the graph, u can see that the steepness is always positive and getting bigger.

y = 8 ∙ 3^x for x = 4 20 POINTS

Answers

Answer:

648

Step-by-step explanation:

8×3^4=648

8×81=648

Use the distance formula to find the distance between each pair of points round to the nearest 10th if necessary

Answers

Given:

The pairs of points are:

a. A(-6,-4), B(-3,-1)

b. C(3.5,1), D(-4,2.5)

c. X(5,-5), Y(-5,5)

To find:

The distance between the pair of points by using the distance formula.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

a.

Using the distance formula, the distance between the points A(-6,-4) and B(-3,-1) is:

[tex]AB=\sqrt{(-3-(-6))^2+((-1-(-4))^2}[/tex]

[tex]AB=\sqrt{(3)^2+(3)^2}[/tex]

[tex]AB=\sqrt{2(3)^2}[/tex]

[tex]AB=3\sqrt{2}[/tex]

[tex]AB\approx 4.2[/tex]

Therefore, the distance between the points A(-6,-4) and B(-3,-1) is about 4.2 units.

b.

Using the distance formula, the distance between the points C(3.5,1) and D(-4,2.5) is:

[tex]CD=\sqrt{(-4-3.5)^2+(2.5-1)^2}[/tex]

[tex]CD=\sqrt{(-7.5)^2+(1.5)^2}[/tex]

[tex]CD=\sqrt{56.25+2.25 }[/tex]

[tex]CD=\sqrt{58.5 }[/tex]

[tex]CD\approx 7.6[/tex]

Therefore, the distance between the points C(3.5,1) and D(-4,2.5) is about 7.6 units.

c.

Using the distance formula, the distance between the points X(5,-5) and Y(-5,5) is:

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

[tex]XY=\sqrt{(-10)^2+(10)^2}[/tex]

[tex]XY=\sqrt{100+100}[/tex]

[tex]XY=\sqrt{200}[/tex]

[tex]XY\approx 14.1[/tex]

Therefore, the distance between the points X(5,-5) and Y(-5,5) is about 14.1 units.

Tim has read ​30 % of a book. He has 56 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

80 pages

Step-by-step explanation:

Let the number of pages is xTim has read ​30 % of a book

Remaining

100% - 30% = 70%

70% of x is 0.7x

0.7x = 56x = 56/0.7x = 80 pages

Answer:

[tex] \bf \huge 80 \: pages[/tex]

Step-by-step explanation:

Given that :

Tim has read 30 % of a book.He has 56 more pages to finish.

to find :

How many pages are there in the book ?

let us assume :

total pages of book is 100•/•

explanation :

⟼ total book = 100•/•

⟼ Tim has read 30 % of a book.

⟼ 100 - 30 •/• = 70 •/•

⟼ 70 •/• = 56 pages

⟼ 1 •/• = 56 / 70

⟼ 100 •/• = 56 / 70 × 100

⟼ 100 •/• = 56 / 7 × 10

⟼ 100 •/• = 8 × 10

⟼ 100 •/• = 80 pages

tim has 80 total pages in book.

Find the 88 term of the arithmetic sequence 4,-1,-6

Answers

Answer:

an = a1 + d(n - 1)

a88 = 4 + (-5)(88 - 1)

a88 = 4 + (-5)(87)

a88 = 4 - 435

a88 = -431

So, the 88th term of the arithmetic sequence is -431.

Number of Amusement Park Visits A 2-column table with 5 rows titled Number of Amusement Park Visits. Column 1 is labeled Visits with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 4, 7, 3, 4, 2. You asked amusement park visitors the question “How many amusement parks have you visited this summer?” The tally table shows the results. Which number line would be best to use to create a dot plot of the set of data? a number line from 0 to 4 a number line from 1 to 5 a number line from 2 to 7 a number line from 0 to 7

Answers

Answer:

B

Step-by-step explanation: let me know if this is wrong

Answer:

its b

Step-by-step explanation:

well the person above me is correct he should get brainlies

A coach is buying snacks for 22 players on a soccer match chip is a total of $77 to buy each player a bottle of water and energy bar the price of one energy bar is two dollars

Answers

The question is incomplete:

A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Let w equal the price of a bottle of water. Write an equation that represents the situation.

Answer:

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

Step-by-step explanation:

With the information provided, you can say that the total amount paid is equal to the result of multiplying the price per energy bar for the number of energy bars purchased plus the result of multiplying the price per bottle of water for the number of bottles of water:

price per energy bar= $2

number of enrgy bars= 22

price per bottle of water= w

number of bottles of water= 22

x=(2*22)+(w*22)

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

In circle o,find the value of x, rounded to the nearest tenth.

Answers

Answer:

x = 6

Step-by-step explanation:

The line marked 16 is a chord.The line marked 20 is a diameter.1/2 the diameter is a radius.The radius = 1/2 20 = 10The value x meets 16 at it's midpointIt is given to be 90 degrees.The part of the radius meets the chord at its midpoint.The meeting point to the circumference is 8 units.The Pythagorean Theorem applies.

10^2 = 8^2 + x^2100 = 64 + x^2100 - 64  = x^236 = x^2x = 6

PLSSSS HELPPPP 30 POINTSSSS

Jaylon spent $27.60 of the $80 he got for his birthday. What percent of his money did spends

Answers

Answer:

35.4%

Step-by-step explanation:

(100/80) x 27.6

basically 1 of 80 is 1.25 and multiply 1.25 times the money jaylon spent sorry i am really bad at explaining only good at solving

Answer:

34.5%

Step-by-step explanation:

to find the percent of money that was spent, you turn it into a fraction-

27.60/80

=0.345

then to get the percent you multiply-

0.345*100

=34.5%

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

what is 8+2 plesseeee​

Answers

Answer:

10

Step-by-step explanation:

the is answe is 10 sheeesh

How do you find radius from cercumference?
(if at all Possible)

Answers

Answer:

r = C/2π

Step-by-step explanation:

You just rearrange the Circumference formula so you can find r.

Circumference formula:

C = 2πr

To find r, you multiply 1/2π on both sides of the equation so you can isolate r:

r = C/2π

Zena saves $5 for every $30 she earns. Which of these describes the rate at which Zena saves?
A $1 saved for every $5 earned
B. $1 saved for every $6 earned
C. $6 saved for every $5 earned
D. $0.60 saved for every $10 earned

Answers

Answer:

I think it is c because yah

There is a total of 45 playoff games over c days. Write the expression of the number of playoff games happening each day.

Answers

Answer:

[tex]\frac{45}{c}[/tex]

Step-by-step explanation:

Playoff games played = 45

Number of days taken for the playoff games = c days

Number of playoff games played in one day = [tex]\frac{\text{Number of games played}}{\text{Total number of days}}[/tex]

= [tex]\frac{45}{c}[/tex]

Therefore, expression for the number of playoff games played in a day = [tex]\frac{45}{c}[/tex]

An equilateral triangle has an altitude length of 33 feet. Determine the length of a side of the triangle.

Answers

Answer:

38.11 feet

Step-by-step explanation:

all three corners of an equilateral triangle are 60°

sin 60° = 33/x

0.8660 =33/x

x = 38.11 feet

Relation between the side and the altitude of the equilateral triangle can be given as,

[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]

The length of the side of the equilateral triangle is 38.105 feet.

What is equilateral triangle?

When all the three sides and all the three angle of a triangle are equal, then the triangle is known as Equilateral triangle.  

Relation between the side and the altitude of the equilateral triangle can be given as,

[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]

Here, [tex]a[/tex] is the side of the equilateral triangle and h is the altitude of the equilateral triangle

Given information-

Altitude of the equilateral triangle is 33 feet.

Put the value of altitude in above formula to find the length of the side of the equilateral triangle. Thus,

[tex]a=\dfrac{2}{\sqrt{3} } \times33\\a=38.105[/tex]

Thus the length of the side of the equilateral triangle is 38.105 feet.

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Em um jogo de futebol, atletas masculinos percorrem em média 11Km, sendo que a distância percorrida ao longo do primeiro tempo é superior em 5% com relação ao segundo tempo (EKBLOM, 1986; RIENZI et al., 2000). Levando em consideração que um time de futebol tem 10 jogadores de linha e todos eles percorrem a mesma distância e não são substituídos, qual a distância média total que um time pode percorrer em uma partida? *

Answers

Answer:225.5 km

Step-by-step explanation:

Can someone please help me with math.

Answers

Answer:

b, b

Step-by-step explanation:

use the graph

Help, Grades due Friday!
Two triangles are similar. The lengths of the sides of the smaller triangle are 3 inches, 5 inches, and 6 inches, and the length of the longest side of the larger triangle is 18 inches. What is the perimeter of the larger triangle?
A.
14 inches
B.
18 inches
C.
24 inches
D.
42 inches

Answers

Answer:

42 (d)

Step-by-step explanation:

the longest side of the smaller one is 6, each side of the larger one is just 3x the length of the smaller side. I hope that makes sense, it's just a ratio. Hope this helped! Good luck!

Answer:

The perimeter of the larger triangle is 42 inches.

Step-by-step explanation:

Since the question mentions that the two triangles are similar, we must establish proportions using what we already know.

Smaller triangle: 3 + 5 + 6 = 14

Larger triangle: x + y + 18 = perimeter

Determine the GCF (greatest common factor):

The GCF is 3.

Now, subsitute the values for x and y by solving via the GCF.

Larger triange:  9 + 15 + 18 = perimeter

9 + 15 + 18 = 42

Hope this helps; have a wonderful day!

Find the magnitude and direction of r+u

please help !!

Answers

Answer:

a.

5.4 cm; 133 degrees

Step-by-step explanation:

hope this helps

Can someone solve these rational expressions showing work thanks

Answers

Answer:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}=\frac{1}{2+x}[/tex]

Step-by-step explanation:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{x-5+2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-5+2=-3[/tex]

[tex]=\frac{x-3}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x-3[/tex]

[tex]=\frac{1}{2+x}[/tex]

Simplify the expression
(3x4 + 9x3 – 7x + 15) + (-6X4 – 8x2 + 5x – 3)

Answers

Answer:

If the numbers next to the "x" are "carroted" ( ^ ) then the answer is

-3x^4 + 9x^3 -8x^2 -2x +12

Step-by-step explanation:

Basically, you just add the like terms together.

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