Solve v = 1/3bh for b

Answer:

v<=-3

Step-by-step explanation:

-3(v-3)-6>=12

-3v+9-6>=12

-3v+3>=12

-3v>=12-3

-3v>=9

v>=9/-3

v>=-3

Answer:

the rule is:

75x + 1000

Step-by-step explanation:

after 18 months

plug 18 in for x.

75(18) + 1000

= 1350

1350 + 1000

= 2350

$2350 after 18 months

Answer:

Part (A)  1000+(n-1)75

Part (B)   2,275

subtract the 1 it's not 2350

Step-by-step explanation:

Answer:

36 more students of grade 7 went on a trip than students of grade 6

Step-by-step explanation:

60 % of 110 students= 60/100*110= 66 students

85 % of 120 students= 85/100 * 120= 102 students

No of students of grade 7th more than 6th grade students= 102-66= 36

60% of the 6th grade band members and 85% of the 7th grade band members went on a trip Disney World trip. Then 36 more 7th graders went on the trip than 6th graders

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The number of students in 6th grade=100

The number of students in 7th grade=120

60% of the 6th grade band members

60%×110

60/100×110=0.6×110=66

85% of the 7th grade band members

85%×120=85/100×120

=0.85×120=102

We need to find how many more 7th graders went on the trip than 6th graders

For this we need to find difference of 7th and 6th grade

102-66=36

Hence 36 more 7th graders went on the trip than 6th graders

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ6

Answer:

[tex]\$52.50[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=1\ year\\ P=\$50\\ A=?\\r=5\%=5/100=0.05[/tex]

substitute in the formula above

[tex]A=50(1+0.05*1)[/tex]

[tex]A=50(1.05)[/tex]

[tex]A=\$52.50[/tex]

Answer:

Step-by-step explanation:

Your answer is A. $485

200 – 130 = 70

70 – 25 = 45

45 + 240 = 285

285 + 225 = 510

510 – 100 = 410

410 + 75 = 485

Answer:

16. Disagree because 0.1 0f 0.1 is 0.01

17. the whale swam for 19 to 21.7 hours. Because 152/8=19 and 152/7=21.7

18. Meg can use 15,000 / 50 because 14,270 rounded up to by the thousand will be 15,000.

19. 61.5 because 3016/7 = 430.8   430.8/7=61.5

Step-by-step explanation:

The value of y is 28

y = 28

Answer:

f(5) = 3200

Step-by-step explanation:

Using the recursive formula to generate the terms, that is

f(2) = 2 × f(1) = 2 × 200 = 400

f(3) = 2 × f(2) = 2 × 400 = 800

f(4) = 2 × f(3) = 2 × 800 = 1600

f(5) = 2 × f(4) = 2 × 1600 = 3200

Answer: 6400

Step-by-step explanation:

Given :

f(1) = 200

f(n) = 2.f(n-1) , for n = 2 ,3 , 4 , ...

To find the 5th term

when n = 2 , the sequence becomes

f(2) = 2 .f(2-1)

f(2) = 2 f(1)

since f(1) = 200

therefore:

f(2) = 2 x 200

f(2) = 400

When n = 3

f(3) = 2f(2)

f(3) = 2 x 400

f(3) = 800

When n = 4

f(4) = 2 f(3)

f(4) = 1600

When n =5

f(5) = 2f(4)

f(5) = 3200

When n = 6

f(6) = 2f(5)

f(6) = 6400

Since n = 2 , 3 , 4 ... this means that the 5th term if f(6) , therefore ,the 5th term is 6400

Answer:

19/2

Step-by-step explanation:

8 3/2=19/2

Answer:

19/2

Step-by-step explanation:

The expression in terms of "n" for how much of the fire they will extinguish in 1 minute when both hoses are turned on together is [tex]\frac{n + 14}{7n + 49}[/tex]

Solution:

Given that,

Hose A, when turned on alone, can extinguish the fire in 7 minutes

Hose B takes "n" minutes more time than hose A

Hose takes (n + 7) minutes to extinguish the fire

STEP 1: Calculate how much work (here work is to extinguish the fire) each person does in one minute

[tex]Hose A = \frac{1}{7}th \text{ of the work }\\\\Hose B = \frac{1}{n+7}th \text{ of the work }[/tex]

STEP 2: Add up the amount of work done by each person in one minute

Work done in one minute when both are working together:

[tex]\rightarrow \frac{1}{7} + \frac{1}{n + 7}\\\\\rightarrow \frac{n + 7 + 7}{7n + 49}\\\\\rightarrow \frac{n + 14}{7n + 49}[/tex]

Therefore, the expression in terms of "n" for how much of the fire they will extinguish in 1 minute when both hoses are turned on together is:

[tex]\frac{n + 14}{7n + 49}[/tex]

The total rate in 1 minute is [tex]\frac{1}{7} + \frac{1}{7+n}[/tex].

To find the expression for how much of the fire they will extinguish in 1 minute when both Hose A and Hose B are turned on together, we need to determine their individual rates first.

Hose A can extinguish the fire in 7 minutes, so its rate is:

⇒ Rate of Hose A = 1 fire ÷ 7 minutes = [tex]\frac{1}{7}[/tex].

Hose B takes 'n' minutes more than Hose A. Therefore, it takes (7 + n) minutes to extinguish the fire, so its rate is:

⇒ Rate of Hose B = 1 fire ÷ (7 + n) minutes = [tex]\frac{1}{7+n}[/tex].

When both hoses are operating together, their combined rate is the sum of their individual rates:

⇒ Combined Rate = [tex]\frac{1}{7} + \frac{1}{7+n}[/tex]

We need the combined rate per minute:

⇒ Combined Rate per Minute = [tex]\frac{1}{7} + \frac{1}{7+n}[/tex]

This fraction represents the portion of the fire they will extinguish in 1 minute when both hoses are used together.

Answer:

2.15

×

10

−

3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

The answer is 2.15 * 10^-3

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Answer:

1. The ladder forms 71.8° with the ground.

2. The top of the ladder will reach 18.79 feet up the wall.

3. Height = 8.66 cm and area = 21.65 sq. cm.

Step-by-step explanation:

1. If the angle of elevation of the ladder is [tex]\theta[/tex] then we can write  

[tex]\sin  \theta = \frac{\textrm {Perpendicular}}{\textrm {Hypotenuse}} = \frac{19}{20}[/tex]

⇒ [tex]\theta = \sin ^{-1}(\frac{19}{20}) = 71.8[/tex] Degrees.

Therefore, the ladder forms 71.8° with the ground. (Answer)

2.  Now, if the ladder formed a 70 degree angle with the ground and the length of the ladder remains the same as 20 feet, then we can write  

[tex]\sin 70 = \frac{\textrm {Perpendicular}}{\textrm {Hypotenuse}} =  \frac{x}{20}[/tex]

⇒ x = 20 sin 70 = 18.79 feet.

Therefore, the top of the ladder will reach 18.79 feet up the wall.

3. See the attached figure.

We have, [tex]\tan 60 = \frac{BC}{CD} = \frac{BC}{5}[/tex]

⇒ Height = BC = 5 tan 60 = 8.66 cm.

Therefore, the area of the triangle BCD will be = [tex]\frac{1}{2} \times CD \times BC =  \frac{1}{2} \times 5 \times 8.66 = 21.65[/tex] sq. cm. (Answer)

The correct solution for the equation 3x + 6 = 34 is x = 9.33 (repeating). The provided options do not match this solution, indicating an error in the given choices.

To solve the equation 3x + 6 = 34, start by subtracting 6 from both sides to isolate the term with the variable x on one side. You get 3x = 28. Next, divide both sides by 3 to solve for x, which gives you x = 28 / 3 or 9.33 (repeating). None of the provided options A, B, C, or D matches the solution, indicating a potential error in the question or the options provided.

Answer:

If you wanted the intersecting points there is only one and It's (12, 14)

Hope that could help.

Answer:

X2-13X-18=0

Step-by-step explanation:

x-2(x+3)=4(2x+3)-x(x-4)

Multiply through the equations

x-2x-6=8x+12-x2+4x

Equate all to zero

x-2x-6-8x-12+x2-4x=0

x2-4x+x-2x-8x-6-12

x2-13x-18=0

Answer:

A. x minus 2 x minus 6 = 8 x + 12 minus x minus 4

E. Negative x minus 6 = 7 x + 8

Step-by-step explanation:

i took the unit test review on edg

Answer:

a. true

b. false

c. true

d. false

Step-by-step explanation:

a. A product raised to a power is equivalent to each of the multiplicand raised to that power as well. Example:

  (xyz)ⁿ = xⁿyⁿzⁿ

  (1·3·7)² = 1²(3²)(7²)

b. Is wrong. When you have addition/subtraction inside a parentheses, you have to foil. Example:

  (a + b)² = (a + b)(a + b)

               = a² + 2ab + b²

  (1 + 3)² = (1 + 3)(1 + 3)

               = 1² + 2(1)(3) + 3²

               = 16

c. Numbers with the same root can be merged when you're multiplying/dividing them. Example:

  √(a)√(b) = √(ab)

  √(2)√(3) = √(2·3) = √(6)

d. You can only merge or split the root when multiplying/dividing.

You CANNOT merge the root when adding/subtracting.

  √(a ± b) ≠ √(a) + √(b),    this is NOT allowed

e. I already gave examples in the previous parts.

Answer:

your answer is down below

Step-by-step explanation:

Check the picture below.

Answer:

The sign of h must be negative, and the sign of k must be positive.

Answer:

No solution

Step-by-step explanation:

we have

[tex]7x-7(x+6)=10[/tex]

Solve for x

Apply distributive property left side

[tex]7x-7x-42=10[/tex]

Combine like terms left side

[tex]-42=10[/tex] ----> is not true

therefore

The equation has no solution

Yes!

This would be in-fact a linear equation!

This equation is set up in y=mx+b form, therefore we know it is a linear equation.

y=12x+2

The 12 is the mx in the equation.

And the 2 is the B in the equation! :)

That is how we solve that.

Any questions?

Have a great day!

Answer:

3.0 kg

Step-by-step explanation:

Momentum before collision = momentum after collision

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

(1.0 kg) (5.0 m/s) + m (-2.0 m/s) = (1.0 kg) (-4.0 m/s) + m (1.0 m/s)

5.0 kg m/s + m (-2.0 m/s) = -4.0 kg m/s + m (1.0 m/s)

9.0 kg m/s = m (3.0 m/s)

m = 3.0 kg

Answer:

x=0.8, y=2.2 (0.8, 2.2).

Step-by-step explanation:

y+x=3

y=1.5x+1

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

1.5x+1+x=3

2.5x=3-1

2.5x=2

x=2/2.5

x=0.8

y+0.8=3

y=3-0.8

y=2.2

To solve the given system of equations by substitution, we substitute the second equation into the first, solve for x, and then substitute x back into the second equation to solve for y, which yields x=0.8 and y=2.2 as the solution.

To solve the system of equations using substitution, we start by isolating one variable in one of the equations. Here, the second equation already gives us y in terms of x: y = 1.5x + 1.

Next, we substitute this expression for y into the first equation y + x = 3. This gives us:

Combine like terms to solve for x:

Now that we have the value of x, we can find the value of y by substituting x back into the equation y = 1.5x + 1:

Hence, the solution to the system of equations is x = 0.8 and y = 2.2.

As a final step, you may want to check your solution by plugging the values back into the original equations to confirm that they satisfy both equations.

Answer:

.85 or 85/100

Step-by-step explanation:

Answer:

0.85 is your decimal. 85 / 100 - not simplified.

17 / 20 - simplified.

Step-by-step explanation:

For the decimal, all you gotta do is move your decimal to the left 2 times.

-Hope this helps.

For the fraction, 85% is per 100, so it's 85 / 100. To simplify, the answer is 17 / 20.

Answer:

x³ - 5x² + 81x - 405 = 0

Step-by-step explanation:

Complex roots occur in conjugate pairs.

Thus given x = - 9i is a root then x = 9i is also a root

The factors are then (x - 5), (x - 9i) and (x + 9i)

The polynomial is the the product of the roots, that is

f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors

    = (x - 5)(x² - 81i²) → note i² = - 1

    = (x - 5)(x² + 81) ← distribute

    = x³ + 81x - 5x² - 405, thus

x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation

The required polynomial equation is x³ - 5x² + 81x - 405 = 0 with roots 5 and -9i.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

As we know that complex roots occur in conjugate pairs.

Thus given x = - 9i is a root then x = 9i is also a root

The factors are then (x - 5), (x - 9i) and (x + 9i)

The polynomial is the product of the roots, that is

f(x) = (x - 5)(x - 9i)(x + 9i)

Expand the complex factors in the above equation

f(x) = (x - 5)(x² - 81i²)   [∵ i² = - 1]

f(x) = (x - 5)(x² + 81)

f(x) = x³ + 81x - 5x² - 405

This is equating to zero.

f(x) = 0

Thus, the required polynomial is x³ - 5x² + 81x - 405 = 0

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

Answer:

46 and 47.

Step-by-step explanation:

If x is one of the integers then the other is x+1.

x + x + 1 = 93

2x = 92

x = 46.

Answer:

Dimensions of printed area

x   =  7.58     the length

y   =  31.40  cm   the height

Step-by-step explanation:

Printed region    P(a)  =  238 cm²

Let call x  and y dimensions of printed area then:

A  =  238  =  x*y       ⇒    y  = 238/x

And the area of the advertisement   is

A(a)  =  L *  W        where     L  =  x  + 6       and   W  =  y  + 5

A(x)  =  (x  +  6  ) * (  y  +  5 )

Area as a function of x                         y  =  238/ x

A(x)  =  (x  +  6  ) * ( 238/x  +  5 )

A(x)  = 238  + 5x  + 1428/x  +  30

A(x)   =  268  +   5x    + 1428/x

Taking derivatives on both sides of the equation

A´(x)   =   5  -  1428/x²

A´(x)   =  0         ⇒   5x²   =  1428       ⇒ x²   =  57.12

x  = 7.58 cm         and         y  =  238/ 7.58       y  =  31.40 cm

Final answer:

2 × 3 × 4, which equals 24.

Explanation:

To find equivalent expressions, we need to think about numbers that can multiply together to reach 24, while also keeping in mind the properties of operations and exponents.

Answer:

The cost of producing 50 blu-rays will be $1337.5

Each blu-rays must be sold of $26.75

Step-by-step explanation:

The cost of producing x number of blu-rays is given by the relation  

B(x) = 1250 + 1.75x ........... (1)

Therefore, the total cost for producing 50 blu-rays will be  

B(50) = 1250 + 1.75 × 50 = $1337.5 (Answer)

Now, Alexis does not want to make a profit by selling the blu-rays to her friends and wants just to cover her costs.

Therefore, the selling price of 50 blu-rays will be $1337.5.

Hence, each blu-rays must be sold of [tex]\frac{1337.5}{50} = 26.75[/tex] dollars. (Answer)