2(x - 10) = 59
What are the steps to come to the correct answer?

Answers

Answer 1

Answer:

39.5

Step-by-step explanation:

Open the bracket by multiplying the numbers in the bracket by 2

2x-20=59

collect like terms(-20 crossing over the equal sign will become +20

2x=59+20

2x=79

Divide both sides by 2

[tex]\frac{2x}{2} =\frac{79}{2}[/tex]

x=39.5

Answer 2

 

[tex] \sf \large↪2(x - 10) = 59[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: ↪2x - 20 = 59[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: ↪2x = 59 + 20[/tex]

[tex] \: \: [/tex]

[tex]\sf \large \: ↪2x = 79[/tex]

[tex] \: \: \: [/tex]

[tex] \sf \large \: ↪x = \cancel \frac{79}{2} [/tex]

[tex] \: \: [/tex]

[tex]\sf \large \color{purple} ↪39.5[/tex]

[tex] \: \: \: [/tex]


Related Questions

Use the properties of logarithms
to write the following expression as a single logarithm
ln y+5ln p-4 ln y

Answers

Answer:

  ln(p^5/y^3)

Step-by-step explanation:

The given expression can have ln(y) terms combined, so it becomes ...

  = 5·ln(p) -3·ln(y)

  = ln(p^5/y^3)

__

The relevant log relation is ...

  ln(a^b) = b·ln(a)

d the product of (x + 3)(x − 3).

x2 − 6x + 9
x2 + 6x + 9
x2 + 9
x2 − 9

Answers

Answer :

[tex] \orange{ \boxed{ \pink{ {x}^{2} - 9}}}[/tex]

Step-by-step explanation :

We can use the formula that :

(a + b) (a - b) = a(a - b ) + b(a - b)

= a² - ab + ab - b² = a² - b²

_________________________

(x + 3) (x - 3)

We have :

a = x

b = 3

So :

( x + 3 ) ( x - 3 )

x (x - 3 ) + 3 (x - 3 )

x² - 3x + 3x - 9

x² - 9

Answer = x² - 9

Arrange the following measurements in order from smallest to largest. 0.7 liters 4.1 liters 2,000mil

Answers

0.7 Liters, then 2,000mil, Lastly, 4.1 Liters

Question 3 (10 points)
(05.04 MO
Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B
is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)

Answers

Step-by-step explanation:

Part A

Circumference formula:

C = 2πr = πd

Find π:

25.12 = 8π ⇒  π = 25.12/8 ⇒ π = 3.149.42 = 3π ⇒ π = 9.42/3 ⇒ π = 3.14Part B

Area formula:

A = πr² = πd²/4

Find π:

50.24 = π*8²/4 ⇒ 50.24 = 16π ⇒ π = 50.24/16 ⇒ π = 3.147.065 = π*3²/4 ⇒ 7.065 = 9π/4 ⇒ π = 4*7.065/9 ⇒ π = 3.14Part CThe value of π is same - 3.14 from each case we have


A chain weighs 12 pounds per foot. How many ounces will 4 inches weigh? Round your answer to the nearest tenth as needed.

Answers

Answer:

1 chain = 12 pounds

4 inches = x

4×12=49

= 50

Simplify::::::::::::::::

[tex] \frac{4}{15} \times ( \frac{1}{4} + \frac{5}{6} )[/tex]

Answers

Answer:

[tex]\frac{13}{45}[/tex]  or 0.2888... - in decimal form.

Explanation:

using PEDMAS rule:

[tex]\frac{4}{15} * ( \frac{1}{4} +\frac{5}{6} )[/tex]        [ finish the addition in the brackets ]

[tex]\frac{4}{15} * ( \frac{6}{24} +\frac{20}{24} )[/tex]     [ make the denominator same ]

[tex]\frac{4}{15} * ( \frac{6+20}{24} )[/tex]         [ join the fraction as they now have same denominator ]

[tex]\frac{4}{15} * ( \frac{26}{24} )[/tex]            [ after joining ]

[tex]\frac{4}{15} * ( \frac{13}{12} )[/tex]           [ simplified ]

[tex]\frac{4 * 13}{15 * 3 * 4}[/tex]               { 4 gets cut }

[tex]\frac{1*13}{15*3}[/tex]                  { basic multiplication }

[tex]\frac{13}{45}[/tex]                    [ final answer ]

Two cubes each of volume 27^3cm are joined end to end to form a solid. Find the surface area. of resulting solid.​

Answers

Given :-

Two cubes each of volume 27cm³ are joined to make a cuboid .

To Find :-

The surface area of the resulting solid .

Solution :-

Given that the volume of cube is 27cm³ . We know that the volume of cube is given by (side)³ .

So , if we assume each side to be a , then ,

[tex]\longrightarrow[/tex] a³ = 27cm³

[tex]\longrightarrow[/tex] a = ³√{27cm³}

[tex]\longrightarrow[/tex] a = ³√3³cm³

[tex]\longrightarrow[/tex] a = 3 cm .

Hence , if we join two cubes we will get a cuboid of length 3cm + 3cm = 6cm . (l)The breadth would be 3cm .( b)The height would be 3cm .(h)

See attachment for figure .

And as we know that TSA of cuboid is ,

[tex]\longrightarrow[/tex]TSA = 2( lb + bh + hl )

[tex]\longrightarrow[/tex] TSA = 2 ( 6*3 + 3*3 + 3*6) cm²

[tex]\longrightarrow[/tex]TSA = 2 ( 18 +9 +18 )cm²

[tex]\longrightarrow[/tex] TSA = 2 * 45cm²

[tex]\longrightarrow[/tex] TSA = 90 cm²

Hence the new surface area of the solid is 90cm² .

I hope this helps.

What is the area of the figure? Enter your answer in the box. in²

Answers

Answer:

[tex]112in^{2}[/tex]

Step-by-step explanation:

to find the area of the square we multiply the base x height so 10x10 which equals 100in^2.

to find the area of the triangle we multiply the base x  height divided by 2 so to find the base 10-6 will give us the dotted line which equals 4. to find the height of the triangle we take 16-10 which equals 6. to find the area of the triangle we multiply 6x4/2 to make 12 in^2. to find the total area we add the triangle plus the square 100+12=112in^2

PLEASE HELP ME PLEAESE

Answers

Answer:

That's correct (756)

Step-by-step explanation:

336/4 = 84

84 * 5 = 420

420 + 336 = 756

Write 53/800 as a terminating decimal.

Answers

Answer:

0.06625

Step-by-step explanation:

Answer:

0.06625

Step-by-step explanation:

Terminating Decimal: A decimal that has an end.

To convert 53/800 into a terminating decimal, we simply divide 53 by 800.

53 ÷ 8000.06625

Have a lovely rest of your day/night, and good luck with your assignments. ♡

Find the distance between these points. W(-6, -8), X(6, 8) 10 √8 20

Answers

Answer:

20 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]\displaystyle d_2 = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Let W(-6, -8) be (x₂, y₂) and X(6, 8) be (x₁, y₁).

Substitute and evaluate:

[tex]\displaystyle \begin{aligned}d & = \sqrt{(-8-8)^2 + (-6-6)^2} \\ \\ & = \sqrt{(-16)^2 + (-12)^2} \\ \\ & = \sqrt{400} \\ \\ & = 20 \end{aligned}[/tex]

Therefore, the distance between the two points is 20 units.

I need to determine the figure is a parallelogram using the slope formula

Answers

Answer:

KL // MN & KN // LM

Step-by-step explanation:

One property of parallelogram is every two opposite sides are parallel to each other and if a two lines (sides) are parallel so they must have the same slope.

In the parallelogram KLMN:

using the slope formula = y2-y1/x2-x1

plug the numbers: KL // MN & KN // LM so KLMN is a parallelogram

Two numbers whose product is 40 and sum is -22

Answers

Answer:

-2, -20

Step-by-step explanation:

x * y = 40       (1)

x + y = -22      (2)

Multiply by x on (2):

x^2 + xy = -22x

x^2 + 40 = -22x

x^2 + 22x + 40 = 0

(x + 2)(x + 20) = 0

x = -2, -20  (answer)

what is the probability that he will get either something with chocolate or a waffle cone with blackberry?

Answers

Answer:

50/50

Step-by-step explanation:

2 options

Rational number between 1/3 and 9/10

Answers

Answer:

so given range is 0.33333 to 0.9 an answer is 6/10 and there are more on this

2/10, 3/10, 4/10, 5/10, 6/10, 8/10

Step-by-step explanation:

any number you can express with an fraction form

The arithmetic mean (i.e. average) of
9
10
and
3
4
is:
1
2
(
9
10
+
3
4
)
=
1
2
(
18
20
+
15
20
)
=
1
2
(
33
20
)
=
33
40
The harmonic mean of
9
10
and
3
4
is:
2
10
9
+
4
3
=
2
10
9
+
12
9
=
2
22
9
=
9
11
Another rational number between
9
10
and
3
4
is:
9
+
3
10
+
4
=
12
14
=
6
7
In fact, noting that both
3
4
and
9
10
are of the form
n
n
+
1
, we find:
3
4
<
4
5
<
5
6
<
6
7
<
7
8
<
9
10

Find HCF 2x^5-4x^4-6x and x^5+x^4-3x^3-3x^2

Answers

Answer:

HCF = [tex](x + 1)[/tex]

Step-by-step explanation:

A common factor is a factor that is shared by two or more numbers (or, in this case, polynomials). The highest common factor (HCF) is found by finding all common factors of the two expressions and selecting the largest one.

Find HCF of [tex]2x^5-4x^4-6x \ \ \textsf{and} \ \ x^5+x^4-3x^3-3x^2[/tex]

Factor [tex]2x^5-4x^4-6x[/tex]

Factor out common term:  [tex]2x(x^4-2x^3-3)[/tex]

Factor [tex]x^4-2x^3-3[/tex]:  [tex]2x(x+1)(x^3-3x^2+3x-3)[/tex]

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

Factor out common term:  [tex]x^2(x^3+x^2-3x-3)[/tex]

Factor [tex]x^3+x^2-3x-3[/tex]:  [tex]x^2(x+1)(x+\sqrt{3} )(x-\sqrt{3} )[/tex]

Therefore, from inspection the HCF = [tex](x + 1)[/tex]

Math Help Please Lots of points

Answers

G F is a perpendicular bisector

So

A F=AB/2=86/2=43

Med ians of any tria ngle bise cts each other at 2:1 ra t io at cen troid.

So

A G=C G=100

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow EC^2=CG^2-EG^2=100^2-60^2=10000-3600=6400\implies EC=80[/tex]

Now

BE=EC=80


Solve |y+2|>6

Solve this

Answers

Answer:

[tex]y + 2 > 6 \\ y > 6 - 2 \\ y > 4[/tex]

Answer:

Step-by-step explanation:

|y+2|>6

y + 2 > 6  and y + 2 < -6

y + 2 > 6

  - 2   - 2

y > 4

y + 2 < -6

  - 2   - 2

y < -8

Hope this helps!

helpppppppppppppppppppppppppp

Answers

Step-by-step explanation:

Question: (8+3x)6

Answer: 48 + 18x =0

18x=-48

x=-48/18

x=-8/3

x=-2.66

hope this helps you

have a great day :)

Robert is purchasing shirts for his weekend soccer team. The shirts he wants to buy are normally $11 each but are on sale for $9 off. His team has a total of 9 players. How much will he spend to buy the shirts?

Answers

Answer:

He shall pay $18 to buy the shirts.

Step-by-step explanation:

each shirt cost after sale: $11 - $9 = $2

then 9 shirts for 9 players would cost: $2 * 9 = $18

For the shirts for his soccer squad, Robert will spend a total of $18 to buy the shirts for his soccer team.

Given that;

Robert is purchasing shirts for his weekend soccer team.

And, The shirts he wants to buy are normally $11 each but are on sale for $9 off.

The shirts are originally priced at $11 each, and they are on sale for $9 off.

Therefore, the discounted price per shirt is,

$11 - $9 = $2

Since Robert has a total of 9 players in his team, he needs to buy 9 shirts.

Hence, the total amount he will spend,

Total amount = Number of shirts × Discounted price per shirt

Total amount = 9 shirts × $2/shirt

Total amount = $18

Therefore, Robert will spend a total of $18 to buy the shirts for his soccer team.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

LLANCELANDEE LANCELANDEE

Answers

Answer:

LALLALALALLALA

Step-by-step explanation:

Answer:

LLANCELANDEE LANCELANDEE LLANCELANDEE LANCELANDEE LLANCELANDEE LANCELANDEE

Solve the equation:
12x^2 + 4x - 1

Answers

The answer is (2x + 1) x (6x - 1)

Write 4x as a difference
12x*2 + 6x - 2x - 1

Factor out 6x (divide what you can by 6x)
6x (2x + 1) - 2x - 1

Factor out the negative
6x (2x + 1) - (2x + 1)

Factor (2x + 1) from the expression

I hope this helps and please mark brainliest!

If the bases of an isosceles trapezoid have lengths of 15 and 32, what is the
length of the median?
A. 23.5 units
B. 17 units
C. 8.5 units
D. 47 units

Answers

Answer:

23.5 units

Step-by-step explanation:

15 +32 / 2 = 47

47 /2 = 23.5

What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
1 m

Answers

Answer:

volume of this sphere is 4.19 cm³

Explanation:

volume of sphere: [tex]\frac{4}{3}[/tex]πr³

Here the radius of the sphere is 1 meter.

Using the formula:

[tex]\frac{4}{3}[/tex] * 3.14 * 1³

4.19 cm³

Answer:

[tex]{\purple{\boxed{4.19}}}[/tex] cubic meters.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf{1\ m}}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the volume of sphere :

[tex]\longrightarrow{\pmb{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}}[/tex]

V = Volumeπ = 3.14r = radius

Substituting all the given values in the formula to find the volume of sphere :

[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}[/tex]

[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}^{3}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1 \times 1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 1}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{12.56}{3}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} \approx 4.19}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Sphere)} \approx 4.19 \: {m}^{3}}}}}}[/tex]

Hence, the volume of sphere is 4.19 m³.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}[/tex]

[tex]\rule{300}{2.5}[/tex]

What is the value of x? □ ft. ( Will Mark Brainliest working on it now ). ​

Answers

Answer:

67.5 ft

Step-by-step explanation:

Use the ratio of corresponding sides:

97.5/x = 71.5/(71.5 - 22)97.5/x = 71.5 / 49.5x = 97.5*49.5/71.5x = 67.5

El perímetro de un terreno rectangular mide 232 m si se sabe que el largo es 8m mayor que el ancho cuáles son sus dominaciones

Answers

Answer:

Largo = 62m

Ancho = 54m

Step-by-step explanation:

[tex]P=232m\\ b=(x+8)\\ h=x[/tex]

[tex]P=2(h+b)\\ P=2(x+(x+8))\\ P=2(2x+8)\\ P=4x+16[/tex]        →         [tex]4x+16=232\\ 4x=232-16\\ 4x=216\\ x=\frac{216}{4}[/tex]

[tex]b=54m[/tex]              [tex]x=54m[/tex]

[tex]b=x+8=(54)+8[/tex]

[tex]b=62m[/tex]

Manny walks a total of 0.75 mile to and from school each day. If there are 25 days in a month, how many miles has he walked in all?

Answers

Answer:

18.75

Step-by-step explanation:

A piece of equipment costs $85,000 new but depreciates 15% each succeeding year.

Find its value after 10 years.

Answers

Answer: $16,734.32

Step-by-step explanation:

Make an exponential equation where y represents the price of the equipment and x represents the number of years

y = 85,000(1 - 0.15)^x

y = 85,000(0.85)^10

y = 16,734.32

Therefore, the price of the equipment after 10 years will be $16,734.32

16,734.34 is the answer

Which number is greater and by how much? 600 or 600 decreased by 20% and then uncreased by 20% of the result

Answers

Answer:

600 is greater by 24

Step-by-step explanation:

We will decrease 600 by 20%.

20% of 600 = 120

600 - 20% of 600 = 480

We will now increase 480 by 20%

20% of 480 = 96

480 + 20% of 480 = 576

Is 576 more than 600?

No.

And how much more is 600 than 576?

24, because 600 - 576 = 24.

What’s the correct answer for this question?

Answers

Answer:

9.6 acres

Step-by-step explanation:

First we have to change the yards to feet. 1 yd = 3 ft.

173 yds x 3 = 519 ft

269 yds x 3 = 807 ft

From here, use a calculator if you don't wan't to stress yourself.

807 x 519 = 418833

418833/43560 = 9.61508264463 ≈ 9.6

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