If in a class of 40 students,45% are in band, how many students are in band

1.

(a) 9

(b) 14

(c) 0

(d) 135

(e) 1408

2.

(a) 18

(b) 5.72

(c) 0.4

(d) 712

(e) 102.5

3. 8 meters

4. $21 or more

5. 15 degrees

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The minus signs should be plus signs

2/5 (rise/run) is the distance. You move up by 2 and 5 to the right

You can use the distance formula it is: the square root of (x2-x1)^2 + (y2-y1)^2

(1+4)^2 + (8-6)^2

(5)^2 + (2)^2

25+4

29

Take the square root of 29 which is about 5.4

The distance is about 5.4

The digit in the ten-thousands place is 3, and because the digit to the right of that digit is higher than 5, the number will be rounded up to 4.

8.31 because it goes after the decimal tenth then hundreth the for is in the thousandths

The answer is 8.3 Hope this helps

Answer:

Yes, you can use the division property of equality in this equation.

Step-by-step explanation:

This is because we have a variable (x) that is being MULTIPLIED (by 4). The opposite of multiplication is division. Since this is an equation that needs properties of equality to solve the variable, division would be a property of equality being used.

Ann's and Maria's estimations of 10 feet and 15 feet are much wider and there would be no door with these widths.

Ted's estimation of 1 foot is also not possible as some stout students can't enter into the class.  :D

Hence, Hank's estimation of 3 feet is the best estimate.

Hank made the best estimate of the width of the door at 3 feet, as standard interior doors are usually close to this width.

The question is about estimating the width of a door. Students provided different estimates for the door's width: Ted estimated it to be 1 foot, Hank estimated 3 feet, Ann estimated 10 feet, and Maria estimated 15 feet. To determine who made the best estimate, we can use the contextual knowledge of standard door sizes. Typically, the width of an interior classroom door is closer to 3 feet, which makes Hank's estimate the most reasonable. The estimates provided by Ann and Maria are excessively large for typical doors, and Ted's estimate of 1 foot is too small.

Let the number of eggs Ryo actually needs be represented by the letter "x".

Then the number of eggs Ryo ordered was [tex]240\%[/tex] of that amount. This can be represented as:

[tex]240\%\times x=\frac{240}{100}x= \frac{12}{5}x[/tex]

Now, to find what fraction of the number of eggs Ryo actually needs in his restaurant, all that we need to do is divide the actual number of eggs, which is "x", by the amount of eggs Ryo actually accidentally ordered which is [tex]\frac{12}{5}x[/tex].

Thus, we get:

Fraction=[tex]\frac{x}{\frac{12}{5}x}= \frac{5}{12}[/tex]

Thus, [tex]\frac{5}{12}[/tex] is the required answer.

Final answer:

To determine the value of r for the line to have a slope of 1/3, the slope formula is applied and solved to find that r must be 2.

Explanation:

To find the value of r so that the line through the points (1,4) and (-5,r) has a slope of 1/3, we use the formula for the slope (m) of a line given two points (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1).

Step 1: Insert the known values into the slope formula

Slope (m) = 1/3, x1 = 1, y1 = 4, x2 = -5, y2 = r

1/3 = (r - 4) / (-5 - 1)

Step 2: Solve for r

1/3 = (r - 4) / (-6)
-2 = r - 4
r = 2

Therefore, the value of r is 2 for the line to have a slope of 1/3.

It is B because they show the X variable next to the .50 cents meaning that this can change depending on how many the rider buys in this Equation.

Answer:

no the answer is a $10. i took the usatestprep :)

Step-by-step explanation:

Answer:

3 oranges for $1, 6 oranges for $2,and 9 oranges for $3

Step-by-step explanation:

Because the ratio amount of oranges to the amount of money is 3:1 for all three

The required equivalent expressions are 3 oranges for a dollar,  6 oranges for 2 dollars,  and 9 oranges for 3 dollars.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of oranges be x and the cost for x oranges be y,

1. 3 oranges for a dollar  2. 6 oranges for 2 dollars  3. 3 dollars for 1 orange and 4.  9 oranges for 3 dollars

For the equivalent relation, of the given expression,
x₁ / y₁ = x₂ / y₂ = x₃ / y₃ = x₄ / y₄
3 / 1 = 6 / 2 = 1 / 3 = 9 / 3
3 / 1 = 3/1 ≠ 1 / 3 ≠ 3 / 1

Thus, the required equivalent expressions are 3 oranges for a dollar,  6 oranges for 2 dollars,  and 9 oranges for 3 dollars.

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Answer:

Step-by-step explanation:

6,212 яσυи∂є∂ тσ тнє иєαяєѕт нυи∂яє∂ ιѕ

6,200

Your answer will be 6,200.

Py +7 = 6y + qp

Solve the equation for y

To solve the equation for y we need to get y alone

Py +7 = 6y + qp

Subtract 6y from both sides

Py - 6y +7 = + qp

Subtract 7 from both sides

Py - 6y = + qp - 7

Now factor out y

(P - 6)y = qp - 7

Divide by P - 6 from both sides

[tex]y =\frac{qp - 7}{(P - 6)}[/tex]

Answer:

y=  p−6 /q−7

​

Step-by-step explanation:

The strategy

Move all y-terms on one side of the equation, and move all constant terms to the other side of the equation.

Using the distributive property, group like terms together on both sides of the equation.

To isolate y, divide both sides by the coefficient of y.

Solving for y

py+7 = 6y+q

py+7 -6y = q

 py-6y= q - 7

y(p-6) = q-7

​

slope formula: y2-y1/x2-x1

Solve for u by cross multiplying.

Answer: u = [tex]-\frac{15}{14}[/tex]

In Decimal form the answer is: −1.07142857…

I believe it is 360 sorry if i am wrong i truely sorry

for #5: you put the equations equal to each other then combine like terms & you’ll get x=41 & the angles are vertical.

for #6: you add the equations together to equal 180 bc that is the measure of a straight line. once you do so, you combine like terms & x should equal 14. & the angles are adjacent.

[tex]\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\sqrt{\dfrac{1}{144}}=\dfrac{\sqrt1}{\sqrt{144}}=\dfrac{1}{12}\\\\\\\sqrt1=1\ because\ 1^2=1\\\\\sqrt{144}=12\ because\ 12^2=144[/tex]

In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.

Substitute -3 into f(x).

f(x)=x²

f(-3)=(-3)²

f(-3)=9

Substitute 4 into g(x).

g(x)=2x-3

g(4)=2(4)-3

Using the rules of PEMDAS, multiply first then subtract.

g(4)=8-3

g(4)=5

Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.

5+9=14

The value of g(4)+f(-3) is 14.

The value obtained for the given equation g(4) + f(−3) will be equal to 14.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equations in the question,

f(x) = x²

So, f(-3) = (-3)²

f(-3) = 9

g(x) =  2x - 3

g(4) = 2(4) - 3

= 8 - 3

g(4) = 5

So,

g(4) + f(−3)

5 + 9 = 14

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Answer:

2.38% annual interest rate

Step-by-step explanation:

We have the initial value that is $6139 and the final value that is $8,624.97 the initial value is a 100% and the final value is 100%+17x%  where x is the annual interest rate, then:

[tex]\dfrac{8624,97\cdot 100\%}{6139\cdot (100\%+17x\%)}=1[/tex]

[tex]\dfrac{8624,97\cdot 100\%}{6139}=100\%+17x\%[/tex]

[tex]\dfrac{862497\%}{6139}-100\%=17x\%[/tex]

[tex]140.49\%-100\%=17x\%[/tex]

[tex]40.49\%=17x\%[/tex]

[tex]\dfrac{40.49\%}{17}=x\%[/tex]

[tex]2.38\%=x\%[/tex]

To find the interest rate of the account, you can use the formula for continuous compound interest, which is A = Pe^(rt). By plugging in the given values, you can solve for r and find that the interest rate is approximately 1.77%.

To find the interest rate of the account, we can use the formula for continuous compound interest:

A = Pe^(rt)

Where:

Given that Adam invested $6139 and the balance after 17 years is $8624.97, we can plug in these values and solve for r:

8624.97 = 6139 * e^(17r)

Divide both sides of the equation by 6139:

e^(17r) = 8624.97 / 6139

Now, take the natural logarithm (ln) of both sides:

ln(e^(17r)) = ln(8624.97 / 6139)

Use the logarithmic property ln(e^x) = x to simplify the equation:

17r = ln(8624.97 / 6139)

Finally, divide both sides of the equation by 17 to solve for r:

r = ln(8624.97 / 6139) / 17

Using a calculator, we find that the interest rate of the account is approximately 0.0177, or 1.77%.

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if the lines are parallel the slopes are the same so the slope is -2

the equation for a line given a point and a slope is

y-y1 = m(x-x1)

y-3= -2(x-4)

y-3 = -2x+8

y = -2x+11

Step 1. Use the Quotient Rule: x^a/x^b = x^a-b

|-10^5-3|

Step 2. Simplify 5 - 3 to 2

|-10^2|

Step 3. Simplify 10^2 to 100

|-100|

Step 4. Simplify

100

[tex]Solution, \left|-\frac{10^5}{10^3}\right|=100[/tex]

[tex]Steps: \left|-\frac{10^5}{10^3}\right|[/tex]

[tex]\mathrm{Cancel\:}\frac{10^5}{10^3}:\quad 10^2, =\left|-10^2\right|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a, =10^2[/tex]

[tex]\mathrm{Refine}, =100[/tex]

The correct answer is 100

Hope This Helps!!!

<3 - austint1414

answer : 25.9%

Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days.

Interest to be paid = 5200 - 4500 = $700

To find the rate we use simple  interest formula

[tex]I =P*\frac{r}{100}*\frac{n}{360}[/tex]

I is the interest

P is the principal amount = 4500

r is the rate of interest

n is the number of days= 219

[tex]700 =4500*\frac{r}{100}*\frac{219}{365}[/tex]

[tex]700 = \frac{985500r}{36500}[/tex]

Multiply by 36500 on both sides

25550000= 985500 r

Divide by  985500

r = 25.92592

so interest rate is approximately = 25. 9%

The full recipe for the banana oat muffins requires 3/4 (or 0.75) cups of old fashion oats. But you are planning to make only 1/3 of the recipe.

To find the amount of oats required for 1/3 of the recipe, we need to multiply the amount required for the full recipe (3/4 cups) by the proportion of the recipe you are making (1/3).

Let's start with the full amount, which is 3/4 cups of oats. Then, we are going to use only 1/3 of this amount. So, we multiply 3/4 by 1/3.

The result of this calculation is 0.25.

So, you will need 0.25 cups of old fashion oats to make 1/3 of the banana oat muffins recipe.

Answer:

Slope Intercept Form is y = mx +b

1. y = x + 8

2. y = 1/2x + -5

3. y = x + 7

The number of cubic yards of concrete that are needed to fill the sidewalk is 7.40741 cubic yards

where

l = length

w = width

h = height

Therefore,

l = 200 ft

w = 4 feet

h = 0.25 feet

v = 200 × 4 × 0.25

v = 200 ft³

In yards the concrete will fill the following volume:

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To find the volume of concrete needed for the sidewalk, multiply the length, width, and depth of the sidewalk. Convert the volume from cubic feet to cubic yards by dividing by 27.

To find the volume of concrete needed, we need to multiply the length, width, and depth of the sidewalk. The length is given as 200 feet, the width is 4 feet, and the depth is 0.25 foot. Multiplying these values together gives us the volume in cubic feet. To convert this to cubic yards, we divide the volume in cubic feet by 27 (since there are 27 cubic feet in a cubic yard).

The volume of the sidewalk in cubic feet is 4 ft * 200 ft * 0.25 ft = 200 cubic feet. Dividing this by 27, we get the volume in cubic yards: 200 cubic feet / 27 = 7.41 cubic yards. Therefore, approximately 7.41 cubic yards of concrete are needed for the sidewalk.

the ball reaches its maximum height of 15 feet in 2.2 seconds

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground

The ball starts on the ground at 0 seconds so the ball starts at x=0 seconds

the ball reaches its maximum height of 15 feet in 2.2 seconds

So it takes 2.2 second to reach the maximum height

It will take another 2.2 seconds to reach the ground

The time the ball in the air is 2.2 + 2.2 = 4.4

The ball will reach the ground in 4.4 seconds

So the domain for g(x) is {0,4.4}

Answer:

0 ≤ x ≤ 4.4

Step-by-step explanation: