Find 4(6a−5)−(9a+1).

Answer:

The answer to this question is it took him an hour and 27 minute

Answer:

10.91

Step-by-step explanation:

The sum of the first 50 terms in this geometric series is 11.00.

When all the terms of a geometric sequence are added, then that expression is called geometric series.

Lets suppose its initial term is f=a , multiplication factor is  r

and let it has total n terms, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

We are given that;

n=50

Series=  1+10/11+100/121

Now,

To find the sum of the first 50 terms in this geometric series, we need to use the formula:

Sum = [tex]a1(1 - r^n) / (1 - r)[/tex]

where a1 is the first term, r is the common ratio, and n is the number of terms. We can identify that the first term is 1, the common ratio is 10/11, and the number of terms is 50. Plugging these values into the formula, we get:

Sum = 1(1 - (10/11)^50) / (1 - 10/11) Sum = (1 - 0.000000000000000000000000000000000000000000000001) / (1/11) Sum = (0.9999999999999999999999) / (0.09090909) Sum = 10.99998

Rounding this result to two decimal places, we get:

Sum = 11.00

Therefore, by the given geometric sequence the answer will be 11.00.

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Answer:

∠NQP = 74°

Step-by-step explanation:

NPQ is a triangle.

We know the sum of 3 angles of a triangle is 180 degrees. So we can write:

N + P + Q = 180

2x + 34 + 2x + 2 = 180

Now, we can solve for x:

[tex]2x + 34 + 2x + 2 = 180\\4x+36=180\\4x=180-36\\4x=144\\x=\frac{144}{4}\\x=36[/tex]

The measure of NQP is "2x+2", we plug in x = 36, and find the measure of NQP:

∠NQP = 2(36) + 2 = 74°

Answer:

The first mechanic worked for 20 hours and the second mechanic worked for 5 hours

Step-by-step explanation:

Let f be the number of working hours of first mechanic

Let s be the number of working hours of second mechanic

Given that they both worked for a combined total of 25 hours

⇒f + s = 25 → equation 1

First mechanic charged $95 per hour and second mechanic charged $90 per hour and they both together charged $2350

⇒95f + 90s = 2350 → equation 2

Using equation 1 in equation 2:

95f + 90(25-f) = 2350

⇒95f + 2250 - 90f = 2350

⇒5f = 100

or f = 20 hours

⇒s = 25 - f ⇒ s = 5 hours

The first mechanic worked for 20 hours and the second mechanic worked for 5 hours

Answer:

1

Step-by-step explanation:

Answer:

10y3 - 5y2 - 10x + 4

 ————————————————————

        2y - 1      

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

Step  3  :

           10y3 - 5y2 - 10x + 4

Simplify   ————————————————————

                  2y - 1      

Checking for a perfect cube :

3.1    10y3 - 5y2 - 10x + 4  is not a perfect cube

Final result :

 10y3 - 5y2 - 10x + 4

 ————————————————————

        2y - 1      

Answer:

The answer is 10y³-5y²-10x+4 over 2y-1

Step-by-step explanation:

i am pretty sure this the answer because there are no like terms so you can't simplify so you solve it by writing the division as a fraction. but the again im positive this is right but i may be wrong. hope this is right!

Answer:

D

Step-by-step explanation:

The measure of x is calculated as

x = 0.5( arc CD - arc BD)

  = 0.5(210 - 72) = 0.5 × 138 = 69 → D

Answer:

4/9 and 1/64

Step-by-step explanation:

Do PEMDAS:

There are no parentheses or exponents, so move onto step 3 Multiplication

[tex]2 \div \frac{3}{4} \times 6[/tex]

[tex] \frac{3}{4} \times \frac{6}{1} = \frac{18}{4} [/tex]

[tex]2 \div \frac{18}{4} = \frac{2}{1} \times \frac{4}{18} = \frac{8}{18} = \frac{4}{9} [/tex]

4/9 is the answer to the first problem

Again there are no parentheses or exponents, so move onto multiplication

[tex] \frac{1}{2} \div 4 \times 8[/tex]

[tex] \frac{1}{2} \div 32 = \frac{1}{2} \times \frac{1}{32} = \frac{1}{64} [/tex]

1/64 is the answer to the second problem

Answer:

13/15

Step-by-step explanation:

Hope it is correct

Answer: (1,8) (2,16) (3,24)

Step-by-step explanation:

Because if it takes Trixie 8 minutes per mile then the ratio would be 1:8 and that means every mile you add 8 minutes.

Answer:

2400 milliliters of soup

Step-by-step explanation:

8*300=2400

Answer:3.80000000000

Step-by-step explanation:

Answer:

$763

Step-by-step explanation:

i got it right on my test

Answer:

4.8sq. yards

Step-by-step explanation:

3.75 million pounds of aluminium

Step-by-step explanation:

The question requires you to perform division operation

Given that 15 million pounds is processed per month

A month has average 4 weeks.

The aluminium smelted per week will be;

15/4 = 3.75 million pounds of aluminium

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Answer:

None.

Step-by-step explanation: 3x does not have the same coefficient as 2y or 7

Answer:

15 feet of fencing costs $27

Step-by-step explanation:

We know 15/20 = 3/4 so...

36 x 3/4 = 27

Another way:

36 divided by 20 = 1.8

1.8 x 15 = 27

answer:

$24

Step-by-step explanation:

36 divided by 15 equals 2.4 then 2.4x5 secne 15 is 5 away from 20 equals 12 then 36 - 12 = 24

Final answer:

An absolute value inequality that includes 3 and -6 as solutions is |x + 1.5| ≤ 4.5. Both numbers satisfy the inequality when substituted for x.

Explanation:

To write an absolute value inequality that has 3 and -6 as two of its solutions, we must find an inequality such that both of these numbers satisfy the condition when their absolute values are considered. One such inequality is |x + 1.5| ≤ 4.5.

Let's verify the solutions:

For x = 3: |3 + 1.5| = |4.5| = 4.5, which is less than or equal to 4.5.

For x = -6: |-6 + 1.5| = |-4.5| = 4.5, which is also less than or equal to 4.5.

Therefore, the inequality |x + 1.5| ≤ 4.5 is a valid inequality that includes 3 and -6 as solutions.

Answer: There are [tex]198[/tex] children at the circus show.

Step-by-step explanation:

Let be "x" the total number of spectators at the circus show and "c" the number of children at the circus show.

Knowing that [tex]\frac{1}{4}[/tex] of the spectators are men, we can find the remaining:

[tex]x-\frac{1}{4}x=\frac{3}{4}x[/tex]

Since [tex]\frac{2}{5}[/tex] of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:

[tex](\frac{2}{5})(\frac{3}{4}x)=132[/tex]

Solving for "x", we get:

[tex]x=(132)(\frac{20}{6})\\\\x=440[/tex]

Therefore, we get that "c" is:

 [tex]c=440-\frac{1}{4}(440)-132\\\\c=198[/tex]

Answer:

Step-by-step explanation:

total purchase price = 32*300 = 9600

total selling price = 20*300 = 6000

Net capital loss =total purchase price- total selling price =9600-6000 =  3600. Purchase price of one share is 32

Selling price of one share is 20

Number of shares bought are 300                                                                           Net % loss = (3600*100)/9600=37.5%

Final answer:

The total loss from buying and then selling 300 shares of General Motors stock, which fell from $32 to $20 per share, is $3600. Expressed as a percent of the purchase price, the loss is 37.5%.

Explanation:

To calculate the loss when buying and selling shares, we first find the loss per share and then multiply by the total number of shares. For General Motors, the price fell from $32 per share to $20 per share. This results in a loss of $12 per share. If you bought and sold 300 shares at these prices, your total loss would be:

Loss per share = $32 - $20 = $12

Total loss = $12 × 300 shares = $3600.

To express this loss as a percent of the purchase price:

Loss Percentage = (Loss per share / Purchase price per share) × 100

Loss Percentage = ($12 / $32) × 100 = 37.5%.

The only linear equation that matches the graph is: Option E: y = 2/3 x

What is the equation of the line?

The general form for the equation of a Line in slope intercept form is:

y = mx + c

Where:

m is slope

c is y-intercept

We can find the slope between two coordinates using the formula:

m = [tex]\frac{(y_{2} - y_{1}) }{(x_{2} - x_{1})}[/tex]

Using the given coordinates (-3, -2) and (3, 2), we have:

m = (2 - (-2))/(3 - (-3))

m = 4/6 = 2/3

The only equation with slope of 2/3 is Option E

Answer:

We should invest 9600 .

Step-by-step explanation:

Interest received in Two and a half year = 1,200

So, Interest that should be received in a year = 1200×[tex]\frac{2}{5}[/tex]

                                                                            = 480

Interest rate = 5%.

Let we had invested  amount X.

Thus 5 % of X we will get in a year as interest

Which is [tex]\frac{5}{100}[/tex]×X = [tex]\frac{X}{20}[/tex].

It is also equal to 480 as calculated above,

So. X = 480×20 = 9600.

Thus,

We should invest 9600 .

Answer:

If 3 boxes equals $12.00 then 1 box equals $4.00

Step-by-step explanation:

You divide 3 boxes by 3 and 12 dollars by 3 to get 1 box equals 4 dollars

Answer:You have 3 boxes that all cost $12.00. So to find the total of each box you divide $12 by 3 boxes of cookies 12/3=$4.00 each

Step-by-step explanation:

Answer:

We Know, Area = Length * Width

Here, A = 3

W = 1/2

Substitute it into the expression,

3 = L * 1/2

L = 3/ 1/2

L = 3/2 ft²

So, the length of the rectangle would be 3/2 ft²

Hope this helps! :)

The length of the rectangle is found to be 6 feet by using the formula for the area of a rectangle and solving for length.

To compute the length of the rectangle, we need to use the formula for the area of a rectangle which is length times width. Given that the area is 3 square feet and the width is 1/2 foot, we can set up the equation length * 1/2 = 3 square feet. From here, solve for length by dividing both sides of the equation by 1/2.

Therefore, the length of the rectangle is 6 feet.

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Answer:

the answer is b

Step-by-step explanation:

Final answer:

To find out how many more sweets Gavin gets over Stephan, we use the ratio 1:4:4, knowing that Stephan gets 13 sweets. Gavin, who has 4 times Stephan's amount, ends up with 52 sweets, which is 39 sweets more than Stephan.

Explanation:

To determine how many more sweets Gavin gets compared to Stephan, we need to use ratios. Since Stephan, Gavin, and Jim share sweets in the ratio 1:4:4, and Stephan gets 13 sweets, we can assign variables to the parts of the ratio to make this easier to solve. Let's assign 'x' to the value of one part, so Stephan gets 1x=13 sweets.

Since 1x is equal to 13, that means 4x is the amount Gavin gets. Now we calculate 4x, which is 4 [tex]\times[/tex] 13=52 sweets. To find out how many more sweets Gavin gets we subtract Stephan's 13 sweets from Gavin's 52 sweets to get the difference.

So, Gavin gets 52-13=39 sweets more than Stephan.

Answer:

The coach raised $1250 last year

Step-by-step explanation:

Let the amount raised last year be $x

Amount raised this year = $1200

Amount raised this year was less by the 4% of x amount last year:

1200 = x - 4% of x

1200 = x - x (x) 4/100 = 96x/100

x = $1250

The coach raised $1250 last year for the equipment.

Answer:

5,813 HP

Step-by-step explanation:

P=f*v

f=1/2*p*v^2*C*A

HP=(f*v)/550

Answer:

He needed 3747.61 HP to reach 400 mph.

Step-by-step explanation:

Given data :

P (air density)  =  0.0019 slug/ft³

A (Area)  = 26.72 ft²

C(d) = 0.398

crr = 0.015

V = 400 mph = 587 ft/sec = 178.92 m/sec

weight = 2019 lb = 8980.96 N    [1 pound = 4.44822 N]

[tex]P=\frac{Force\times Displacement}{Time}[/tex]

P =  Force × Velocity = FV

F = F(sum) = F(drag) + F(rolling resistance)

F(drag) = [tex]\frac{1}{2}P\times V^2\times C(d)A[/tex]

F(rolling resistance) = weight × crr

[tex]HP=\frac{P}{1hp}[/tex]   1hp = 745.7 watts

F(drag) = [tex]\frac{1}{2}P\times V^2\times C(d)A[/tex]

[tex]=\frac{1}{2}\times 0.0019\times 587^{2} \times 0.398\times 26.72[/tex]

= 3481.23  [tex]\frac{slug\times ft}{sec^2}[/tex]

convert  [tex]\frac{slug\times ft}{sec^2}[/tex]  to  [tex]\frac{kg\times m}{s^2}[/tex]

1 slug = 14.5939 kg

1 ft = 0.3048 m

[tex]\frac{slug\times ft}{sec^2}[/tex] = 14.5939 × 0.3048 = 4.448 [tex]\frac{kg\times m}{s^2}[/tex]  or newton

Since F(drag) = 3481.23 × 4.448 N

                      = 15484.51 N

P = F(drag) × V

   = 15484.51 × 178.92 N m/s

   = 2770488.529 watts

F rolling resistance = crr × w

                               = 0.015 × 8980.96 N

                               = 134.714 N

Power = (Fdrag + Frolling resistance) × V

            = (15484.51 + 134.714) × 178.92

            = 15619.224 × 178.92

            = 279459.558 watts

Power in HP

[tex]HP=\frac{P}{hp}[/tex]

[tex]=\frac{279459.558}{745.7}[/tex]

= 3747.61 HP

He needed 3747.61 HP to reach 400 mph.

Answer:

The price of the burrito is $3.5 and the price of the taco is $2.5.

Step-by-step explanation:

2x+5y=19.5

5x+2y=22.5

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

5(2x+5y)=5(19.5)

-2(5x+2y)=-2(22.5)

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

10x+25y=97.5

-10x-4y=-45

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

21y=52.5

y=52.5/21=2.5

2x+5(2.5)=19.5

2x+12.5=19.5

2x=19.5-12.5

2x=7

x=7/2=3.5

x=3.5, y=2.5

The price of the burrito is $3.5 and the price of the taco is $2.5.

The required price of the burrito is $3.50 and the price of the taco is $2.50.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's represent the price of a burrito b and the price of a taco t.

If two students have burritos, then the cost of the burritos is 2b.

If five students have tacos, then the cost of the tacos is 5t.

The total cost of the meal is 2b + 5t = $19.50.

Similarly, if five students have burritos, then the cost of the burritos is 5b.

If two students have tacos, then the cost of the tacos is 2t.

The total cost of the meal is 5b + 2t = $22.50.

We can set up a system of equations to solve for b and t:

2b + 5t = $19.50

5b + 2t = $22.50

We can solve this system using the elimination method. Multiplying the first equation by 5 and the second equation by 2, we get:

10b + 25t = 97.50

10b + 4t = 45.00

Subtracting the second equation from the first equation, we get:

21t = 52.50

t = $2.50

Substituting this value for t into the first equation, we get:

2b + 5 x $2.50 = $19.50

2b = $7

b = $3.50

Therefore, the price of a taco is $2.50 and the price of a burrito is $3.50.

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Answer:

.06 rounded to nearest hundreth

Step-by-step explanation:

Answer:

17 I think

Step-by-step explanation: