A survey conducted at Ambidextrous High School asked all 1,700 students to indicate their grade level and if they are left-handed or right-handed. Only 59 of the 491 freshmen are left-handed. Out of the 382 students in the sophomore class, 289 of them are right-handed. There are 433 students in the junior class and 120 of them are left-handed. There are 307 right-handed seniors.

Answer:

  (A)  46 seconds

Step-by-step explanation:

You can arrive at an answer to this question at least two ways:

Read the time from the graph.

Locate 144 on the vertical scale, just below halfway from 140 to 150. Locate the point on the graph that is at this vertical height. It is a little more than halfway between 40 and 50 on the horizontal scale.

The only answer choice in that neighborhood is t = 46 seconds.

__

Use the given formula, and solve it for the time.

  d = 1.5t +75

  144 = 1.5t +75 . . . the distance of interest is 144

  69 = 1.5t . . . . . . . .subtract 75

  69/1.5 = t = 46 . . . seconds

Answer:  Not proportional

=======================================================

Explanation:

Let's assume the two fractions are equal.

If so, then,

[tex]\frac{0.2}{2.6} = \frac{0.3}{3.6}\\\\0.2*3.6 = 2.6*0.3\\\\0.72 = 0.78[/tex]

The last equation is false, so the first equation is false.

Therefore, the two ratios are not proportional.

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Another approach:

Calculate the decimal value of each fraction

[tex]\frac{0.2}{2.6} \approx 0.07692\\\\\frac{0.3}{3.6} \approx 0.08333\\\\[/tex]

The two ratios result in different decimal values, so the two ratios are not equal, aka not proportional.

Answer:

Sale Price = 31$

Step-by-step explanation:

Sale price= originally price × (1- sale percentage /100)

=124× (1- 75/100)

=124× 0.25

=31 $

Step-by-step explanation:

All the best!

The answer is C I think.

Answer:  23n (nickels)

16p + 11d + 20q = 47x

x = number of coins that aren't nickels

y = number of coins in all

n = nickels

so there are 74 coins in all

70y - 47x = 23n

there are 23 nickels

lets check: 23n + 16p + 11d + 20q = 70y

a) The solution of this ordinary differential equation is [tex]y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }[/tex].

b) The integrating factor for the ordinary differential equation is [tex]-\frac{1}{x}[/tex].

The particular solution of the ordinary differential equation is [tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex].

a) In this case we need to separate each variable ([tex]y, t[/tex]) in each side of the identity:

[tex]6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t[/tex] (1)

[tex]6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C[/tex]

Where [tex]C[/tex] is the integration constant.

By table of integrals we find the solution for each integral:

[tex]-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C[/tex]

If we know that [tex]x = 0[/tex] and [tex]y = 1[/tex], then the integration constant is [tex]C = -2[/tex].

The solution of this ordinary differential equation is [tex]y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }[/tex]. [tex]\blacksquare[/tex]

b) In this case we need to solve a first order ordinary differential equation of the following form:

[tex]\frac{dy}{dx} + p(x) \cdot y = q(x)[/tex] (2)

Where:

Hence, the ordinary differential equation is equivalent to this form:

[tex]\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x}[/tex] (3)

The integrating factor for the ordinary differential equation is [tex]-\frac{1}{x}[/tex]. [tex]\blacksquare[/tex]

The solution for (2) is presented below:

[tex]y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C[/tex] (4)

Where [tex]C[/tex] is the integration constant.

If we know that [tex]p(x) = -\frac{1}{x}[/tex] and [tex]q(x) = x^{2} + \frac{1}{x}[/tex], then the solution of the ordinary differential equation is:

[tex]y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C[/tex]

[tex]y = x\int {x} \, dx + x\int\, dx + C[/tex]

[tex]y = \frac{x^{3}}{2}+x^{2}+C[/tex]

If we know that [tex]x = 1[/tex] and [tex]y = -1[/tex], then the particular solution is:

[tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex]

The particular solution of the ordinary differential equation is [tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex]. [tex]\blacksquare[/tex]

To learn more on ordinary differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

Answer:

70%

Step-by-step explanation:

divide 21 by 30 to get .70 multiply by 100 to make percent

70% (or just move decimal two places to the right)

Answer:

70%

Step-by-step explanation:

100 ÷ 30 = 3.3333333333333

21 x 3.3333333333333/30 x 3.3333333333333 = 70/100

21/30 = 0.7

0.7 x 100 = 70%

Answer:

8 is the length, and 15 is the height.

8+7 =15

8*15 = 120

Answer:

y > [tex]\frac{3}{4}[/tex] x - 2

Step-by-step explanation:

thats the answer rearranged your graph should look like this

Answer:

0.43 yards is the answer

Step-by-step explanation:

Answer:

The answer is x+3=4

x+3=4

x=4-3

x = 1

Answer:

14m-n

Step-by-step explanation:

Combine Like Terms:

=8m + −4n + 6m + 3n

=(8m+6m) + (−4n+3n)

=14m+−n

Answer:

144/5

Step-by-step explanation:

[tex]\large \rm \: 9 \frac{2}{3} \times 1 \frac{1}{29} \times \frac{6}{15 } \times 7 \frac{1}{5} \\ = \frac{29}{3} \times \frac{30}{29} \times \frac{6}{15} \times \frac{36}{5} \\ = 10 \times \frac{216}{75} \\ = \frac{2160}{75} \\ = \frac{144}{5}

[/tex]

Answer:

9⅔ × 1¹/²⁹ × 6/15 × 7⅕ = 29/3 × 30/29 × 6/15 × 36/5 =(29/3 × 30/29) × (6/15 × 36/5) = (29×30 / 3×29) × (6×36 / 15×5) = (30/3) × (72/25) = 30×72 / 3×25 = 144 /5.

Please mark as brainliest answer.

Answer:  a)9 3/4 hours

B)1 11/12 hour

Step-by-step explanation:

Piano: 3 1/2 hour; 3hours 30min

Soccer: 6 1/4 hour; 6hours and 15 min

Telephone: 4 1/3 hour; 4 hours and 20 min.

Remember that in an hour there is 60 min, and 1/2 of an hour is 30 (min), 1/4  is 15(min) and 1/3 is 20(min).

a) 3hours and 30min + 6hours and 15 min

That gives us 9 hours and 45 min, which is 9 3/4 hours.

B) 6hours and 15 min — 4 hours and 20 min

That gives us 1 hour and 55 min, which is 1 11/12 hours.

I hope this helps you!

Answer:

make do times tabls pls give me points

Step-by-step explanation:

Answer:

≈5.099

Step-by-step explanation:

1) the rule is:

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2};[/tex]

2) according to the rule above, the required distance is:

[tex]d=\sqrt{(-2-3)^2+(-2+3)^2}=\sqrt{26}[/tex]

d≈5.099

Step-by-step explanation:

refer the above attachment

Answer:

x = 850 and y = 345

Step-by-step explanation:

x + y = 1195

x - y = 505

Add the two equations

2x + 0y = 1700

2x = 1700

x = 850

Sub x = 850 into the first equation:

850 + y = 1195

y = 345

Thus, x = 850 and y = 345

Answer:

£11.40

Step-by-step explanation:

She spent £1.55 + £1.30 = £2.85.

Now she has 3/4 of the original amount.

That means she spent 1/4 of the original amount.

£2.85 is 1/4 of the original amount.

The original amount is 4 × £2.85.

She started with £11.40.

You can solve it by writing an equation.

She started with x.

x - 2.85 = 3x/4

x/4 = 2.85

x = 11.40

Answer:

250*(0.96)^8=180 (rounded)

Step-by-step explanation:

The first year, we know there are 250. Moving on every year, we multiply the # from the previous year by 0.96, which is the same as taking 96 percent (excluding the decreasing 4%). This gives us a multiplication of 0.96 ^8, which we have to multiply by the original 250

Answer:

Yes

Step-by-step explanation:

Just like with fractions, 8:4 can be reduced to 2:1

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{2 : 1}\\\\\large\text{= 2}\times\large\text{4 : }\large\text{1}\times\large\text{4}\\\\\large\text{= 8 : 4}[/tex]

[tex]\large\textsf{8 : 4}\\\\\large\textsf{= 8}\div\large\textsf{4 : 4}\div\large\textsf{4}\\\\\large\textsf{= 2 : 1}[/tex]

[tex]\large\textbf{Thus, 2:1 \& 8:4 ARE equivalent.}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{YES!}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The answer is D

Step-by-step explanation:

Why

The board is originally 108 inches long when you cut it in half that makes it two different pieces

You would divide 108 by 2 and you get D

Hoped this helped

Answer:

Step-by-step explanation:

x^2 + 11

Answer:

Step-by-step explanation:

is is (p+3)-2??

Answer:

Step-by-step explanation:

As per question, 4 out of 50 do not have interstates.

Find the percent value:

Answer:

Quarters = 8

Nickles = 6

Step-by-step explanation:

Call their numbers x and y.

The number equation is

x + y = 14

The value equation is

5x + 25y = 230

5x + 25y = 230-(5x + 5y = 70)

20y = 160

y = 8

x= 6

Answer:Petroleum = 15.32%

Drugs = 12.9%

Chemicals = 2.5%

Motor Vehicles = -56.5% (Negative)

Electrical = -18.8% (Negative)

Food = 3.7%

Step-by-step explanation:

Answer:

b = 55°

Step-by-step explanation:

Angles around a point will always add up to 360°

Therefore, we can write an expression where we sum the 3 angles given and equate them to 360°:

(b - 15) + 3b + (2b + 45) = 360

eliminate the brackets and collect like terms:

b + 3b + 2b - 15 + 45 = 360

Combine like terms:

6b + 30 = 360

subtract 30 from both sides:

6b = 330

divide both sides by 6:

6b ÷ 6 = 330 ÷ 6

   ⇒  b = 55