A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At that rate, how many of the 2540 students at the local high school plan to go to college?

Answer:

square root of 26 (sorry couldn't get the symbol)

Step-by-step explanation:

C^2 = A^2 + B^2 (Pythagoras Theorem)

C^2 = 5^2 + 1^2

C^2 = 26

take square root of both sides

C =

[tex] \sqrt{26} [/tex]

Answer:

Hi there!

The correct answer is: 5

Step-by-step explanation:

Essentially they replace x with 14, so all you have to do is plug 14 into the equation. 14 multiplied by 1/2 is 7, because it's the same thing as 14 divided by 2. Then you minus 2 from 7, and you get 5.

Answer:

-2 1/6

Step-by-step explanation:

Answer:

What is 20 percent (calculated percentage %) of number 40? Answer: 8.

Step-by-step explanation:

happy to help ya:)

Answer:

No.

[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}\\\\= \text{50.91 mi/h}[/tex]

Step-by-step explanation:

First leg:              d = r₁t₁

Second leg:        d = r₂t₂

                         r₁t₁ = r₂t₂

Total distance: 2d = r₁t₁ + r₂t₂

Total time:           t = t₁ + t₂

1. Equation for average rate

[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}[/tex]

2. Average rate

Since r₁t₁ = r₂t₂,

[tex]t_{1} = \dfrac{r_{2}t_{2}}{r_{1}} = \frac{40}{70}t_{2} = \frac{4}{7}t_{2}\\\\\text{Average rate} = \dfrac{2r_{2}t_{2}}{\frac{4}{7}t_{2} + t_{2}} = \dfrac{2 \times 40t_{2}}{\frac{4t_{2}+ 7t_{2}}{7}}= 80t_{2} \times\frac{7}{11t_{2}} = \dfrac{560}{11}\\\\= \textbf{50.91 mi/h}[/tex]

We cannot say truthfully that the average rate is 55 mi/h.

The average rate of a body is the total distance travelled divided by the total time.

The cheetah runs at an average rate of 50.91mph, not 55mph

Let

[tex]d \to[/tex] distance

[tex]r \to[/tex] average rate

[tex]t \to[/tex] time

Given that:

[tex]d = r_1t_1 = r_2t_2[/tex]

So, we have:

[tex]r_1 = 70[/tex]

[tex]r_2 = 40[/tex]

The average rate (r) is calculated as follows:

[tex]r = \frac{Total\ Distance (D)}{Total\ Time (T)}[/tex]

Where:

[tex]D=d + d[/tex]

[tex]D = r_1t_1 + r_2t_2[/tex]

and

[tex]T =t_1 + t_2[/tex]

So, the average rate is:

[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]

Recall that:

[tex]D = r_1t_1 + r_2t_2[/tex]

[tex]r_1t_1 = r_2t_2[/tex]

Make [tex]t_2[/tex] the subject

[tex]t_2 = \frac{r_1t_1}{r_2}[/tex]

Substitute values for [tex]r_1[/tex] and [tex]r_2[/tex]

[tex]t_2 = \frac{70t_1}{40}[/tex]

So, we have:

[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]

[tex]r = \frac{70t_1 + 40 \times \frac{70t_1}{40}}{t_1 + \frac{70t_1}{40}}[/tex]

[tex]r = \frac{70t_1 + 70t_1}{t_1 + \frac{70t_1}{40}}[/tex]

[tex]r = \frac{140t_1}{t_1 + \frac{70t_1}{40}}[/tex]

Factor out t1

[tex]r= \frac{140t_1}{t_1(1 + \frac{70}{40})}[/tex]

[tex]r = \frac{140}{(1 + \frac{70}{40})}[/tex]

[tex]r = \frac{140}{\frac{40+70}{40}}[/tex]

[tex]r= \frac{140}{\frac{110}{40}}[/tex]

Rewrite as:

[tex]r = \frac{140 \times 40}{110}[/tex]

[tex]r = 50.91mph[/tex]

Hence, the cheetah's average rate is 50.91mph, not 55mph

Read more about distance, average rates and time at:

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Answer:

(x,y)→(x,−y)

Step-by-step explanation:

I did it before

Answer:

  a) 50π cm^2

  b) π/8

Step-by-step explanation:

a) The formula for the area of a semicircle is ...

  A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2

For a diameter of 20 cm, the area is ...

  A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle

__

The formula for the area of a quarter circle is ...

  A = (1/4)πr^2

For a radius of 20 cm, the area is ...

  A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle

__

The shaded area is the difference of the areas of the quarter circle and semicircle:

  shaded area = (100π cm^2) -(50π cm^2)

  shaded area = 50π cm^2

__

b) The ratio of the shaded area to the square area is ...

  shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8

Answer:

8.5 units

Step-by-step explanation:

first we gotta find the length of the diameter. they made it into a triangle, so we can use pythagorean theorem.

15² + 8² = c²

225 + 64 = c²

289 = c²

17 = c

so now we know that the length of the diameter is 17 units, so the radius would be half of that.

17 ÷ 2 = 8.5

so the radius is 8.5

The radius of the given circle, it can be calculate by using theorem of circle and it will come out, 13/2

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

A circle which has diameter AOB,

Two chords are, AC & BC their lengths are respectively, 15 and 8 units

According to theorem of circle,

Angle made by end-points of diameter at any point on a circle is 90

Pythagoras theorem can be used here,

AB² = AC² + BC²

AB² = 12² + 5²

AB² =  169

AB = 13

Radius = AB/2

           =  13/2

Hence, the radius is 13/2 units

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Answer:

g= 1/2

Step-by-step explanation:

9+3.5g=11-0.5g

Add .5 g to each side

9+3.5g+.5g=11-0.5g+.5g

9+4g = 11

Subtract 9 from each side

9+4g-9 = 11-9

4g = 2

Divide by 4

4g/4 = 2/4

g= 1/2

Answer:

10 pi

Step-by-step explanation:

25 pi

20 pi

10 pi

5 pi

C is the answer

The area of the shaded sector of the circle will be 10π units².

Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

As per the question, QR = 5 and m∠RQS = 4π/5 = 144°.

As per the given question given data:

θ = 4π/5

r = QR = 5

Substitute the values in the formula to get:

Area of sector of a circle = 144/360 × π(5)²

Area of sector of a circle = 1/4 × π(25)

Apply the multiplication operation, and we get

Area of a sector of a circle = 10π units²

Thus, the area of the shaded sector of the circle is 10π units².

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The question seems to be incomplete the correct question would be:

In circle Q, QR = 5 and m∠RQS = 4π/5. Find the area of the shaded sector.

Express your answer as a fraction times pi.

Answer:

(2x+5)(x+4)

Step-by-step explanation:

After factoring we can find that it equals

(2x+5)(x+4)

Answer:

(2x +5) (x+4)

Step-by-step explanation:

2x*2+13x+20

(2x +   )(x+  )

Factoring 20 into 4 and 5  so we can get 13 in the middle

(2x +5) (x+4)

2*4 +5 = 13 for the middle term

Answer:

hdhufhduh

Step-by-step explanation:

Answer:

a7=1458

Step-by-step explanation:

2; -6; 18... a geometric progression

a1=2; a2=-6; a3=18

r=a2/a1=-6/2

r= -3

a7=a1*r⁶

a7=2*(-3)⁶=2*729

a7=1458

Answer:

Step-by-step explanation:

Twins born  call A

single child born called B

twins in family history 1

twins not in family history 2

my new table

          1.                                         2

A     8/34=0.23 (23.52%)      26/34=0.7647 (76.47%)

B. 125/966=0.1293 (12.93%) 841/966=0.8706(87.06%)

I hope u understand my table

Answer:

16? maybe

Step-by-step explanation:

i justed counted from 9 to 25,l

Answer:

8 or 17

Step-by-step explanation:

The system of equations for this is:

x = 9 + y

x + y = 25

Find the value of y by plugging the first equation into the second.

9 + y + y = 25

9 + 2y = 25

2y = 16

y = 8

One of the numbers is 8.

OR

Find the value of x by plugging the value of y into one o the equations.

x = 9 + 8

x = 17

or

x + 8 = 25

x = 17  

One of the numbers is 17.

Answer:

437+36x>=500

Step-by-step explanation:

This basically shows that 437 plus the x miles he will walk per day for 36 will total to more than or equal to 500

Answer:

C 437 + 36x >_ 500

Step-by-step explanation: its because the total amount is 500 miles so its alone on one side of the equation. Then we have 437 miles + 36 days with x as a amount of how many miles per day. so first subtract 437 out off 500 then divide it by 36 which gives u X which is the answer.

Answer:

Millionths

Step-by-step explanation:

It is the fartherst decimal place that thier is.

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

[tex]Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}[/tex]

When there are 3r-19 cats, there are 2r+1 mice

[tex]2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)[/tex]

When there are 6r-27 mice, there are r-5 cats.

[tex]6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)[/tex]

Taking the values of k above, we have:

[tex]k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7[/tex]

Therefore:

[tex]k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30[/tex]

Answer:

Step-by-step explanation:

We know that the permiter is defined as

[tex]P=L+S+M[/tex]

Where [tex]L[/tex] is the longest side, [tex]S[/tex] is the smallest and [tex]M[/tex] is the middle side.

If [tex]L=x[/tex] then, [tex]S=x-20[/tex], where we need to find an expression for [tex]M[/tex] using the law of cosines.

[tex]M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}[/tex]

Replacing all expression, the perimeter is

[tex]P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}[/tex]

Using a calculator, the perimeter is 20 units centimeters.

Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

First, Outer, Inner, Last.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

Answer: **Incomplete question**

Step-by-step explanation: Your question is incomplete, and missing very important details. However I would attempt to use assumed values in place of the omitted ones so that after explaining, it would be pretty much easy to figure out the solution.

If Rahul was given a total of 32 questions and he has worked out for example 25% of them on Monday and then 50% of them on Tuesday, to find the number  of problems left, we would need to find the number of questions represented by the percentage indicated.

If he has worked out 25% of them on Monday, then that means he had done the following

Percentage done = 25% (or 25/100 which equals 0.25)

Number of problems solved = 32 * 25%

Number of problems solved = 32 * 0.25

Number of problems solved = 8

Further he solved 50% of them on Tuesday

Percentage done = 50% (or 50/100 which equals 0.50)

Number of problems solved = 32 * 50%

Number of problems solved = 32 * 0.5

Number of problems solved = 16

This means he has now solved a total of

8 + 16 = 24

If therefore he has solved 24 problems, then the number of problems left is derived simply as

Unsolved problems = 32 - 24

Unsolved problems = 8

Please remember that the use of 25% and 50% are simply assumptions in order to make explaining the solution easier. Please insert the correct values  of the percentage as appropriate.

Answer:

(x+y)^3

Step-by-step explanation:

125 is the third power of five and 216 is the third power of 6

so we can rewrite the expression as (x+y)^3

Answer:

5² - 19 * 24

= 25 - 456

= -431

Answer:

-431

Step-by-step explanation:

25-19x24

25-456

-431

Answer:

0.5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]12x^2+5x-2=\\\\(4x-1)(3x+2)[/tex]

You can check this by working backwards and expanding:

[tex](4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2[/tex]

Hope this helps!

Answer:

5

Step-by-step explanation:

Let the number of the kitchen clock sold =a

Let the number of the cuckoo clock sold =b

Let the number of the two-foot high grandfather clocks sold =c

The new saleswoman sold at least two of each of the three models.

Therefore:

[tex]a\geq 2\\b \geq 2\\c \geq 2[/tex]

In all, she collected $300 from selling these models alone

17a+31b+61c=300

17(2)+31(2)+61(2)=218

300-218=82

Next, we try to express the remainder (82) in terms of 17, 31 and 61

82=17(3)+31

Therefore, she sold:

She sold 5 $17 clocks.

CHECK:

17(5)+31(3)+2(61)=$300

Answer:

4 hours per book

Step-by-step explanation:

The unit rate per book can be found when the number of books read is 1.

To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.

2/3*6=4 hours per book

Hope this helps!

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have,

Charlotte has been working for her company for x years.

Travis has been working for the same company exactly 3 years longer than Charlotte.

This means that Travis have 3 years extra than Charlotte.

So, the range of the relationship is

y>3.

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Answer:

acute triangle

Step-by-step explanation:

If an angle measures less than 90 degrees it is an acute angle

A triangle with all acute angles is an acute triangle

Answer:

[tex]79213229.3 ft^3[/tex]

Step-by-step explanation:

The great pyramids pf Egypt are square based pyramids.

The volume of a square based pyramid is:

[tex]V = a^2h/3[/tex]

where a = length of square base

h = height of pyramid

The pyramid has a square base measured as 754 feet and a height of 418 feet. Its volume is:

[tex]V = 754^2 * 418 / 3\\\\V = 79213229.3 ft^3[/tex]