The frame of a bicycle weighs 16 pounds. Each tire weighs 9 ounces. The seat weighs 12 ounces. The handlebars weigh 24 ounces. How many pounds does the bicycle weigh?

If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

A word problem in mathematics is a maths question written as one sentence or more that requires the application of mathematics knowledge to a 'real-life' scenario.

Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:

3/8 gallons of white paint = 6 gallons of light green

We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as

9/16 gallons of white paint = x

Divide both expressions

3/8 x 16/9 = 6/x

2/3 = 6/x

By cross multiplying

2x = 3 x 6

2x = 18

x = 18/2

x = 9

This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

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The equation of the total number of hours that Jack could use is t = 3.5n

From the question, we have the following parameters that can be used in our computation:

Number of hours of study each night = 3 and a half hours

To start with, we need to represent the given parameter using numbers (fractions or decimal)

Using decimals, we have the following representation

Number of hours of study each night = 3.5 hours

Represent the number of nights as follows

Number of nights = n

Represent the total number of hours as follows

Total number of hours = t

So, we have the following equation

Total number of hours = Number of nights * Number of hours of study each night

Substitute the known values in the above equation, so, we have the following representation

t = 3.5 * n

Evaluate

t = 3.5n

Hence, the equation is t = 3.5n

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Answer: y=3.5x

Step-by-step explanation:

Step-by-step explanation:

The amount A in an account after 2 years when a principal of P dollars is invested at annual interest rate r (in decimal form) compounded annually is given by A = P(1 + r). Find r.

P= $3000, A = $3499.20. Explain

r = (3499.20 - 3000) / 3000 = 0.1664

Therefore, the annual interest rate r (in decimal form) is 0.1664.

Answer:im not sure

Step-by-step explanation:

a?

Answer:

Well, in order to dissect this obstreperous equation, you would require this expertly-crafted formula: Goo gle + IQ of over 70 = success.

Step-by-step explanation:

Answer:

Step-by-step explanation:

heheh

Answer:

151 1/8

Step-by-step explanation:

15 1/2: 31/2 9 3/4: 39/4

31/2 X 39/4= 1209/8

1209/8= 151 1/8

Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

Answer:

272 trees are not oak.

Step-by-step explanation:

First, we need to convert 32% into a decimal by moving the decimal point to the left twice, to get 0.32. Then, we set up this equation:

0.32 x 400 = 128

Now, this is how many oak trees there are. It says to find how many trees are not oaks. So, we can do this by subtracting the total trees, which is 400 by 128:

400 - 128 = 272 trees.

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Answer: A

Step-by-step explanation:

4 1/2 is the same thing as 4.5

2 3/4 is the same thing as 2.75

4.5 - 2.75 = 1.75 = 1 3/4

Answer:

1 3/4

Step-by-step explanation:

Answer:

10008

Step-by-step explanation:

2^3 x 3^2 x 139 = 10008

Answer:

Step-by-step explanation:

The market value of house increased by $68,340 and the current value of the house is  $470,340.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The market value of house before several years =$402,000

Also, the value of house increased by 17%.

The rise in value of house = 402,000 x 17/100

                                            = 68340

The value of house increased by $68,340.

The current value of house = 402,000 + 68340 = 470340

The current value of house is $470,340.

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Answer:

42

Step-by-step explanation:

8.50 x 20 and then divide by 100

I hope this helps good luck!

The coordinates of the focus of the parabola are (3, 2)

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -

y = a(x - h)² + k

We have the following equation of a parabola as -

f(x) = (1/4)(x - 3)² + 1

We can calculate the coordinates of the focus using the formula -

Focus : (h, k+ (1/4a))

[h] = 3

[k + (1/4a)] = 1 + (1/(4x 1/4) = 2

Therefore, the coordinates of the focus of the parabola are (3, 2)

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Answer:

Step-by-step explanation:

g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}

The required area of the shaded region is 0.8339 in the given shown graph.

The area of the shaded region in a standard normal distribution represents the probability of a certain range of values occurring.

As per the question, the shaded region represents the area to the left of the value z = -0.97.

To find the area of the shaded region, we can use the standard normal distribution table, which gives the probability of a value occurring within a certain range of the mean.

In this case, we would look up the probability of a value less than or equal to -0.97 occurring.

According to the standard normal distribution table, the area to the left of z=-0.97 is 0.8339. This means that the shaded region has an area of 0.8339.

Therefore, the area of the shaded region would be 0.8339.

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The lowest fraction for the given fraction [tex]\frac{4}{16}[/tex] is [tex]\frac{1}{4}[/tex].

Also the equivalent fraction with a denominator of [tex]32[/tex] is [tex]\frac{8}{32}[/tex].

Divide the numerator and denominator by their Greatest Common Factor in order to reduce a fraction to its lowest terms. This is often referred to as fractional simplification.

Here, the GCF of [tex](4,16)=4[/tex]. Therefore divide the numerator and denominator of the fraction by [tex]4[/tex].

[tex]\frac{4/4}{16/4} = \frac{1}{4}[/tex]

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

Multiply a fraction's numerator and denominator by the same number of digits. You won't alter the value of the fraction and will produce an identical fraction if you multiply the top and bottom of the fraction by the same number.

Here, [tex]16[/tex] times [tex]2[/tex] give [tex]32[/tex]. Now, multiply the fraction with 2 on both the numerator and denominator.

[tex]\frac{4*4}{16*4} = \frac{16}{32}[/tex]

Therefore, the lowest fraction for the specified fraction is [tex]\frac{1}{4}[/tex]. Furthermore, the equivalent fraction with the denominator [tex]32[/tex] is [tex]\frac{16}{32}[/tex].

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Answer:

your answer is 4

Step-by-step explanation:

8.4(2)-3.2(4)=4

Answer: 4

Step-by-step explanation:

Equation: 8.4n - 3.2p

1. Substitute the variables with the given numbers

8.4(2) - 3.2(4)

2. Solve 8.4 × 2

16.8 - 3.2(4)

3. Solve 3.2 × 4

16.8 - 12.8

4. Solve

16.8 - 12.8 = 4

Answer:

2.113%

Step-by-step explanation:

%out=out/total×100

6/284×100

=~2.113%

Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

Hopes this helps please mark brainliest

Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

the answer is 21

according to my calculations 9+10= 21

Answer:

(-1/7 ; 0)

Step-by-step explanation:

the line intercepts the x axis when y = 0

7x + 0 = -1

7x = - 1

7/7 x = -1/7

x = -1/7

Answer:

The x intercept is -1/7

( -1/7 , 0)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

7x+7y = -1

y =0

7x+7(0) = -1

7x +0 = -1

7x = -1

Divide by 7

7x/7 = -1/7

x = -1/7

The x intercept is -1/7

( -1/7 , 0)

Answer: 24.5

Step-by-step explanation:

The equation that represent each situation, in terms of x, is

The number of monthly movies watched, x, that would make the two plans have an equal monthly cost is 6 movies.

Let

Plan A:

A = 19 + 0.50x

Plan B:

B = 13 + 1.50x

Equate A and B

19 + 0.50x = 13 + 1.50x

collect like terms

19 - 13 = 1.50x - 0.50x

6 = x

Hence,

x = 6 movies

In conclusion, the number of monthly movies watched to have an equal amount is 6 movies.

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Answer: between 2 and 3 hours

Step-by-step explanation:

Easiest method is to convert mixed fractions to decimals:

1-2/3 = 1.67

4-3/10 = 4.3

Ming hrs - Ling hrs = 4.3 - 1.67 = 2.63 hrs

2 < 2.63 < 3

The exact values of the sine and the cosine of the half angle are √(3 / 10) and √(7 / 10), respectively.

Herein we know the exact value of the cosine of an angle set in the first quadrant. Then, the half angle is also in the first quadrant, whose sine and cosine are, respectively:

cos 0.5Ф > 0, sin 0.5Ф > 0

sin 0.5Ф = √[(1 - cos 0.5Ф) / 2]

cos 0.5Ф = √[(1 + cos 0.5Ф) / 2]

First, replace the values of the cosine of the half angle:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

cos 0.5Ф = √[(1 + 2 / 5) / 2]

Second, simplify the resulting expression:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

sin 0.5Ф = √[(3 / 5) / 2]

sin 0.5Ф = √(3 / 10)

cos 0.5Ф = √[(1 + 2 / 5) / 2]

cos 0.5Ф = √[(7 / 5) / 2]

cos 0.5Ф = √(7 / 10)

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Answer:

[tex]y = 8x[/tex], where y = the total cost and x = amount of hours.

Answer: $795.70.

Step-by-step explanation: To calculate the amount of interest that Ayana will earn in 3 years, we need to first determine the annual interest rate. If the interest rate is 3% compounded annually, then the annual interest rate is 0.03.

Next, we need to calculate the total amount of interest that Ayana will earn over the 3 year period. To do this, we can use the formula for compound interest: A = P(1 + r/n)^nt, where A is the total amount of interest earned, P is the principal (initial amount of money in the account), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $730, r = 0.03, n = 1 (since the interest is compounded annually), and t = 3. Plugging these values into the formula, we get:

A = $730(1 + 0.03/1)^1*3 = $730(1.03)^3 = $730 * 1.09 = $795.70

Therefore, Ayana will earn $795.70 in total interest over the 3 year period. To the nearest cent, this is $795.70.