An isosceles triangle has a perimeter of 50 cm. The congruent sides
measure (2x + 3) cm. The length of the third side is 7x cm. What is the
value of x?

Answer:

h = V / πr²

Step-by-step explanation:

V = πr²h

Where,

V = volume of a cylinder

π = π

r = radius of the cylinder

h = height of the cylinder

V = πr²h

Solve for h

V = π × r² × h

Divide both sides by π × r²

h = V / π × r²

h = V / πr²

Height of the cylinder = volume of the cylinder / pie × r²

Answer:

2x-3

Step-by-step explanation:

f(x) = 3x-1

g(x) = x+2

Find (f-g)(x), this means we need to subtract g from x.

(3x-1) - (x+2)

Subtract the like terms:

3x -x = 2x

-1 -2 = -3

Combine them to get 2x-3

Answer: 138

Step-by-step explanation:

Number of 7th graders in music programs = 345

Percentage in choir = 35%

Percentage in orchestra = 25%

Percentage in band = 100% - (35% + 25%) = 100% - 60% = 40%

The number of 7th graders in music programs are in band will then be:

= Percentage in band × Total 7th graders

= 40% × 345

= 0.4 × 345

= 138 students

Answer:

-12

Step-by-step explanation:

8+(-12)=-4

Answer:

8%

Step-by-step explanation:

12/250=0.08

0.08=8%

Answer:

8%

Step-by-step explanation:

Answer:

y = 3x + 6

Step-by-step explanation:

To make the equation we'll use the form y = mx + b, where m is the slope and b is the y-intercept. When a line is parallel to another, both lines have the same slope, so the slope of the equation will be 3. Now that we know the slope, we can input the point (6, -3) into the equation to solve for the y-intercept:

y = mx + b

y = 3x + b

-3 = 3(-3) + b

-3 = -9 + b

Add 9 to both sides to isolate the b:

-3 + 9 = -9 + 9 + b

6 = b

The y-intercept is 6. Let's put that into our equation:

y = 3x + 6

Now we have our answer :)

Answer:

I believe the answer is x=10

Hope this is correct! :)

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[tex] {9}^{(x + 2)} = {27}^{8} \\ [/tex]

[tex]( { {3}^{2} })^{x + 2} = ({ {3}^{3} })^{8} [/tex]

[tex] {3}^{2 \times (x + 2)} = {3}^{3 \times 8} [/tex]

[tex] {3}^{2(x + 2)} = {3}^{24} [/tex]

Thus :

[tex]2(x + 2) = 24[/tex]

Divide sides by 2

[tex] \frac{2(x + 2)}{2} = \frac{24}{2} \\ [/tex]

[tex]x + 2 = 12[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 12 - 2[/tex]

[tex]x = 10[/tex]

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Answer:

C. (Chanterelle mushrooms cost less by $0.90)

Step-by-step explanation:

Divide 11.25 by 2/3, for the total amount of pound for the Cremini.

Do the same thing for Chanterelle, but the numbers given for it.

We than find out that Cremini=16.87, and Chanterelle=15.98

Now that we know Cremini is more that Chanterelle, we need to find the difference, by subtracting The bigger number by the smaller number.

Our answer is 0.89, but we will round it to 0.90.

Now we know that the Cremini costs more by $0.90, and the Chanterelle costs less by $0.90

Answer:

Step-by-step explanation:

Cost of 1 lb of Cremini mushrooms= 11.25×3/2=33.75/2=16.875 $≈$16.88

Cost of 1 lb of Chanterelle mushrooms=7.99×2/1=$15.98

Chanterelle mushrooms cost 16.88-15.98=$0.90 less

Answer:

4 runners

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

To solve this type of question, put the term with the exponent on one side and the numerical term on the other side

∵ -3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29

→ Add 3 to both sides

∵ -3 + 3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29 + 3

∴ [tex](8-2x)^{\frac{5}{4}}[/tex] = 32

→ Remember is [tex]x^{\frac{m}{n}}[/tex] = a, then x = [tex]a^{\frac{n}{m}}[/tex], that means to move the exponent

   from one side to the other side reciprocal it

∴ 8 - 2x = [tex](32)^{\frac{4}{5}}[/tex]

→ Use your calculator to find the value of  [tex](32)^{\frac{4}{5}}[/tex]

∵  [tex](32)^{\frac{4}{5}}[/tex] = 16

∴ 8 - 2x = 16

→ Subtract 8 from both sides

∴ 8 - 8 - 2x = 16 - 8

∴ -2x = 8

→ Divide both sides by -2

∴ x = -4

To check the solution substitute x by -4 in the left side and find its answer if it equals the right side, then the solution is right

∵ Left side ⇒ -3 + (8 - 2 × -4)[tex]^{\frac{5}{4}}[/tex] = -3 + (8 + 8)[tex]^{\frac{5}{4}}[/tex] =-3 + (16)[tex]^{\frac{5}{4}}[/tex]  = -3 + 32 = 29

∵ Right side = 29

∴ The solution is right

Answer:

Total price (P) = 1.29n + 0.79w + 2.39b

where n,w and b are pounds of respective items

Step-by-step explanation:

Answer:

x = 59

Step-by-step explanation:

All the angles in a triangle add up to 180

Add all the known angles

83 + 38 = 121

To find the third angle, subtract the total of all the angles by the total of the known angles

180 - 121 = 59

Answer:

B. Dependent variable

Answer: x=-1

Step-by-step explanation: Here is one way of answering this question. First you need to subtract 7 from both sides and that will leave you with -22=22x. Then you just divide 22 on both sides. So that will give you an answer of -1=x or x=-1

Answer: Hope it helps :)

-4

7

Step-by-step explanation:

You have to use the formula y2-y1

                                                x2-x1

So -4-4

     8--6

-4-4= -8

8--6= 14 (two negative signs become a positive sign)

You have -8 over 14

If you simplify it's -4/7 or -4

                                         7

Answer:

-4/7

Step-by-step explanation:

Answer:

-0.42

Step-by-step explanation:

Answer: -0.42

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 5 = 3(x - 0)

y - 5 = 3x - 0

y = 3x + 5

Answer:

Step-by-step explanation:

answer on edmentum

Answer:3,125

Step-by-step explanation:

A would be the answer

Answer:

2/8

Step-by-step explanation:

Cost of book 8 sample purchases  (in ascending order) : 67.99, 68.99, 78.99, 80.24, 84.36, 86, 99.29,  101.25

Chance (Probability) of paying under $70 = Favourable outcomes (<70)

                                                                          Total outcomes

= 2/8

Answer:

3/8

Step-by-step explanation:

Favorable outcome is 3

Total outcome is 8

P(1, 2, or 3) = [tex]\frac{3}{8}[/tex]

The theoretical probability is 0.375

We have given that, a diagram of the circle.

We have to find the theoretical probability and simplify the probability.

Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.

The favorable outcome is 3.

The total outcome is 8

P(1, 2, or 3) = 3/8

The theoretical probability is 0.375

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Answer:

answer choices?

Step-by-step explanation:

Answer: 51 & 54

Step-by-step explanation:

Based on the line of best fit luther can expect the average speed of his pitches to be about __51___ miles an hour in a game when he throws 80 pitches and to be 64 miles an hour in a game when he throws about ____54__ pitches.​

Answer:

7

Step-by-step explanation:

rAnswer:

Step-by-step explanation:

20$

Answer:

0.3

Step-by-step explanation:

Given that:

Probability of growing into a healthy plant = probability of success (p) = 75% = 0.75

Number of seeds planted(n) = 9

Probability that exactly 2 don't grow is equivalent to having 7 that grows (9 - 2) = 7 = r

Using binomial distribution formula :

nCr * p^r * (1 - p)^(n-r)

9C7 * 0.75^7 * (1 - 0.75)^(9 - 7)

9C7 * 0.75^7 * 0.25^2

36 * 0.13348 * 0.0625

= 0.3003387

= 0.3

Hence, probability that exactly 2 don't grow is 0.3

Answer:

Step-by-step explanation:

4.25+2.25=6.50 per person

6.50*2 people= 13.00

13.00*5% tax=0.65 tax

13.00+.65= 13.65

Answer:

Step-by-step explanation:

4.25 x 2 + 2.25 x 2 = 13

Convert 5% into a decimal ( 0.05)

0.05 x 13 = 0.65

0.65 + 13 equals 13.65

Answer:

f ( - 1 ) = 5        

Step-by-step explanation:

Step 1:

f ( x ) = - 2x + 3         Function

Step 2:

f ( - 1 ) = - 2 ( - 1 ) + 3         Input x value

Step 3:

f ( - 1 ) = 2 + 3        Multiply

Answer:

f ( - 1 ) = 5        Combine Like Terms

Hope This Helps :)

A slope is also known as the gradient of a line. The correct option is B.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Since for the two functions to be inverse of each other, the line of equations must bisect each other at 90° so that the product of the slope of the two equations is equal to -1.

For the second graph, the slope of the blue line is,

m₁ = (-1-0)/(0-4) = 0.25

The slope of the green line is,

m₂ = (-4-0)/[0-(-1)] = -4

Now, the product of the slope can be written as,

0.25×-4 = -1

Since the product is -1, the function is inverse of each other.

Hence, the correct option is B.

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Answer:

x        -6         3        15       -12

y        11         5         -3        15

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

[tex]y = -\frac{2}{3}x +7[/tex]

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15