The school principal determined that 1/4 of the original student school desk would need to be replaced this year 50 teachers would also receive new improved us a total of 295 student and teacher desk or purchased how many original student desks were there before the purchase was made

Answer:

impossible!

Step-by-step explanation:

There is no solution! 0=0

Answer:

x = (y/4) - (3/2)

Step-by-step explanation:

y=4x+6  (subtract 6 from both sides)

y - 6 = 4x (divide both sides by 4 and rearrange)

x = (y-6) / 4

x = (y/4) - (6/4)

x = (y/4) - (3/2)

Answer: C

Step-by-step explanation:

y<x-1

so you looking at the region below the line but not including it so graph c is good

Answer:

If you need proof here it is

Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]

Step-by-step explanation:

We need to find the value of x from the inequality [tex]-x+8>6[/tex]

Solving:

[tex]-x+8>6[/tex]

Subtract 8 on both sides:

[tex]-x+8-8>6-8[/tex]

[tex]-x>-2[/tex]

Divide both sides by (-1). For doing this the sign of inequality is reversed i.e, > is changed into <

[tex]x<2[/tex]

So, Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]

Keywords: Solving inequalities

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Answer:

3.6875

Step-by-step explanation:

Answer:

3.6875

Step-by-step explanation:

First, let's leave 3 alone since its a whole number. So now we're dividing the actual fraction. Remember that the top dog goes under, which means that the place where the numerator goes is where the dividend should be, and the denominator is where the divisor should be. Add a decimal point and then after that a few zeros to the 11. Divide like a decimal. You should get 0.6875. Now take that 3 that we left alone before and add it, so you should get 3.6875.

Answer:

x=5

Step-by-step explanation:

so to isolate the x you dived the -3 to both sides

so it will now be

x=5 because a negative times or divided by a negative equals a positive so to prove that x=5

-3(5)=-15

which is true

Answer:

6y^3+17y^2+22y+15

Step-by-step explanation:

(2y+3)(3y^2+4y+5)

6y^3+8y^2+10y+9y^2+12y+15

6y^3+17y^2+22y+15

Answer:

B. 6y^3+17y^2+22y+15

Step-by-step explanation:

Answer:

x(x-5) = 14

x^2-5x-14 = 0

x^2 -7x+2x-14=0

x(x-7)+2(x-7)=0

(x+2)(x-7)=0

x = -2, 7

Hope this helps!

Step-by-step explanation:

Let the mass of the person be [tex]m[/tex].

Let the spring constant be [tex]k[/tex].

Let the displacement in spring be [tex]x[/tex]

Let the acceleration due to gravity be [tex]g[/tex]

As it is given that the person just stands,the forces are balanced.

So,[tex]mg=kx[/tex]

Given,

[tex]m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}[/tex]

[tex]60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m[/tex]

Answer:

It is $17.

Step-by-step explanation:

A total of 750 students responded yes.

As it is given in the tree diagram that is lower there was a total of 450 students who responded yes.

Now, in upper there were a total of 400 students of which 100 students responded no which means (400-100), students responded yes i.e., a total of 300 students responded yes.

So,  upper+lower responses of yes will be total responses of students as yes.

So, a total of 300+450=750  students responded yes.

Hence, 750 students responded yes.

Therefore, option C is the correct answer.

1 : to say something in return : make an answer respond to criticism. 2a : to react in response responded to a call for help. b : to show favorable reaction respond to surgery. 3 : to be answerable respond in damages.

Respond is defined as to answer or reply or to act in return. An example of to respond is to answer a question in class. An example of to respond is for an ambulance to rush to the scene of an accident after a phone call requesting their service. (intransitive) To say something in return; to answer; to reply.

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Answer:4000 deposit times 0.5 interest is 2,000. 2,000 x4 = 8,000 for 4 years.

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

The whole circumference (i.e complete circle) is an arc which measures 360°

in our case, it is given that our arc measures only 30°

the fraction of our arc of 30° to the complete circle of 360° is

30/360

= 3/36

= 1/12

The dimensions of the tennis court are:

Length = 14 m

Length = 14 mWidth = 10 m

Let the width be y.

From the question given above,

The length is 6 meters less than twice it’s width. This can be obtained written as:

Area = 140 m²

Dimension = Area = Length × width

140 = (2y – 6)y

140 = 2y² – 6y

Rearrange

2y² – 6y – 140 = 0

Divide through by 2

y² – 3y – 70 = 0

y² – 3y – 70 = 0

y² – 10y + 7y – 70 = 0

Factorize

y(y – 10) + 7(y – 10) = 0

(y – 10)(y + 7) = 0

y – 10 = 0 or y + 7 = 0

y = 10 or –7

Since measurement can not be negative,

Width = y = 10 m

Length = 2y – 6

y = 10

Length = 2(10) – 6 = 20 – 6

Therefore, the dimensions of the tennis court are

Length = 14 m

Length = 14 mWidth = 10 m

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According to the map, each line is 10 feet.

A is 4 lines from the one marked 30 ft.

4 x 10 = 40 feet.

30 +40 = 70 feet.

The answer is 70 feet.

Answer:

[tex]A=16\pi\ units^{2}[/tex]

[tex]A=50.24\ units^{2}[/tex]

Step-by-step explanation:

we know that

The shape of the figure is a quarter of circle

so

The area of the figure is equal to the area of a circle divided by 4

[tex]A=\frac{1}{4}\pi r^{2}[/tex]

we have

[tex]r=8\ units[/tex]

substitute

[tex]A=\frac{1}{4}\pi (8)^{2}[/tex]

[tex]A=16\pi\ units^{2}[/tex] ----> exact answer

assume

[tex]\pi =3.14[/tex]

[tex]A=16(3.14)=50.24\ units^{2}[/tex] ----> decimal answer

Answer:

So each interior angle measurement of the regular triangle is 60 degrees.

Step-by-step explanation:

If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.

If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.

If need more convincing, let's actually solve:

x+x+x=180

3x=180

x=180/3

x=60

So each interior angle measurement of the regular triangle is 60 degrees.

Answer:

the last one

(-15)x12

hope this helps!

Answer:

20/69=0.2898550724637...

Step-by-step explanation:

a calculator

The result of 7 divided by 24.15 is approximately 0.29 when rounded to two decimal places.

The student has inquired about the result of the mathematical operation, division, specifically what is 7 divided by 24.15. To solve this question, you simply divide 7 by 24.15 on a calculator or by manual long division. The answer is approximately 0.29 when rounded to two decimal places. It should be noted that the exact quotient might vary depending on the number of decimal places you consider.

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The measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

From the given figure we have two parallel lines and a transversal which intersects them.

The 119 degree angle and the angle above the angle 1 are corresponding angles, so they are equal.

And the angle above angle numbered 1 and the angle numbered 1 are straight line angles, so the sum of them is 180 degrees.

119 + angle 1 = 180

angle 1 = 180 - 119

angle 1 = 61

Hence the measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

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The most you will pay for renting the bicycle for at most 5 hours is $40.

The total cost of renting a bicycle for h hours is given by the function c = 8h, where c represents the total cost and h represents the number of hours rented. In this case, you figure you can rent a bicycle for at most 5 hours. To find the most that you will pay, substitute h = 5 into the function c = 8h:

c = 8(5) = 40

Therefore, the most you will pay for renting the bicycle for at most 5 hours is $40.

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Answer:

B

Step-by-step explanation:

Square root of 72=

8.485281474

A. 6

B. 6 square root 2=

8.485281474

C. 36

D. square root of 6=

2.449489743

Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.

Step-by-step explanation:

Let,

x be the distance walked by Vi.

Therefore,

On first day = x

Second day = x

On days three and four,Vi walks twice as long as on the first two days

Third and fourth day = 2(x+x) = 2(2x) = 4x

On fifth day = half of first day = [tex]\frac{1}{2}x[/tex] = 0.5x

Total distance = 13 miles

Therefore,

[tex]x+x+4x+0.5x =13\\6.5x=13[/tex]

Dividing both sides by 6.5

[tex]\frac{6.5x}{6.5}=\frac{13}{6.5}\\x=2[/tex]

Distance on first day = x = 2 miles

second day = x = 2 miles

third and fourth day = 4x = 4(2) = 8 miles

fifth day = 0.5x = 0.5(2) = 1 miles

Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.

Keywords: distance, addition

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Answer:

The integers are -13 and -12

Step-by-step explanation:

Let

x ----> the first consecutive negative integer

x+1 ----> the second consecutive negative integer

we know that

[tex]x(x+1)=156[/tex]

Apply the distributive property

[tex]x^2+x=156\\x^2+x-156=0[/tex]

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^2+x-156=0[/tex]  

so

[tex]a=1\\b=1\\c=-156[/tex]

substitute in the formula

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4(1)(-156)}} {2(1)}[/tex]

[tex]x=\frac{-1(+/-)\sqrt{625}} {2}[/tex]

[tex]x=\frac{-1(+/-)25} {2}[/tex]

[tex]x_1=\frac{-1(+)25} {2}=12[/tex]  ----> the solution cannot be a positive number

[tex]x_1=\frac{-1(-)25} {2}=-13[/tex]

therefore

[tex]x=-13\\x+1=-12[/tex]

Answer:

x=-3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A

A.K.A – 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = [tex]\frac{1-3}{3-0}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

The scale factor is 1/3

Step-by-step explanation:

we know that

The scale factor is equal to divide the length side of the image (square A'B'C'D') by the length side of the pre-image (square ABCD)

Let

z ---> the scale factor

x----> the length side of the image (square AB'C'D')

y----> the length side of the pre-image (square ABCD)

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=2\ units\\y=6\ units[/tex]

substitute

[tex]z=\frac{2}{6}[/tex]

simplify

[tex]z=\frac{1}{3}[/tex]

The scale factor is less than 1, so the dilation is a reduction

therefore

The scale factor is 1/3

Answer:

Subtract equation 1 from equation 2

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = 12 | (equation 1)

3 x = 2 y - 8 | (equation 2)

Express the system in standard form:

{3 x + 4 y = 12 | (equation 1)

3 x - 2 y = -8 | (equation 2)

Subtract equation 1 from equation 2:

{3 x + 4 y = 12 | (equation 1)

0 x - 6 y = -20 | (equation 2)

Divide equation 2 by -2:

{3 x + 4 y = 12 | (equation 1)

0 x+3 y = 10 | (equation 2)

Divide equation 2 by 3:

{3 x + 4 y = 12 | (equation 1)

0 x+y = 10/3 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{3 x+0 y = (-4)/3 | (equation 1)

0 x+y = 10/3 | (equation 2)

Divide equation 1 by 3:

{x+0 y = (-4)/9 | (equation 1)

0 x+y = 10/3 | (equation 2)

Collect results:

Answer:  {x = -4/9 , y = 10/3

Answer:

A. is False

B. is True

C. is False

D. is False

Step-by-step explanation:

Its absolute value so that means all numbers are now positive only with the ones that are with the double lines