Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. Write an equation that represents the number os teaspoons tcontAINED IN A CUP C.

Answer:

16 students

Step-by-step explanation:

48+64=112

the highest number that can go into 112 equally is 16 so htere would be 7 rows and 16 students in each row

Answer:

Image below

Step-by-step explanation:

Graph of a Line Given Two Points

We are given the points (1,5/2), (-1/2,-1/4).

A straight line is entirely defined by two points. We have to plot them and join them with a straight line ending in arrows.

The point (1,5/2) is converted to decimal as (1,2.5)

The point (-1/2,-1/4) is also converted to decimal: (-0.5,-0.25)

This helps to define the divisions of each axis and properly draw the line.

Please refer to the image below.

The value of -4² + (5-2) (-8) is -34.

Integers come in three types:

Given:

We have expression as -4² + (5-2) (-8)

Now, solving the terms in the expression

-4² = -(4 x 4)= -16

and, (5-2) (-6)

= 3 (-6)

= -18

So, the value of -4² + (5-2) (-6)

= -16 - 18

= -34

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Answer:

Step-by-step explanation:

It is H

        Function for the graph of the parabola given in the picture attached will be Option (H). f(x) = x² - 6x

          y = a(x - h)² + k

          Here, (h, k) is the vertex of the parabola

Given in the graph,

Equation of the graph with vertex (3, -9) will be,

y = a(x - 3)² - 9

Since, the parabola passes through (0, 0),

0 = a(0 - 3)² - 9

0 = 9a - 9

a = 1

Substitute the value of 'a' in the equation of the parabola,

y = 1.(x - 3)² - 9

y = x² - 6x + 9 - 9

y = x² - 6x

      Hence, the function representing the graph will be f(x) = x² - 6x

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Answer:

0>0

Step-by-step explanation:

Answer:

$31.50

Step-by-step explanation:

If the value fell by 30%, then the game is worth 70% of its' original value. So:

45 x 70%=45 x .7=31.5......................

Answer:

It would be a

Step-by-step explanation:

the difference is 4/8 but simplified it is 1/2

9514 1404 393

Answer:

  (4x +5)

Step-by-step explanation:

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:

  √(16x²) = 4x

  √25 = 5

So, our first choice of side length for the square is ...

  s = (4x +5) . . . . . side length of the square

__

Using the above identity, we can verify that the square of this gives the right area:

  A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²

  A = 16x² +40x +25 . . . . . . as required

Answer:

a) <CA

b) im not sure about this one

Step-by-step explanation:

Answer:

Richard's cumulative GPA = 2.5

Step-by-step explanation:

Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.

Average = 2

Total credits = 42

Average = sum of terms/total no of terms

2 = sum of terms/42

sum of terms = 84 ....(1)

His fourth semester GPA was 4.0 for 14 course units

Average = 4

Total credits = 14

sum of terms = 56 .....(2)

Average for 4 semesters,

[tex]A=\dfrac{84+56}{42+14}\\\\A=2.5[/tex]

Hence, Richard's cumulative GPA for all 4 semesters is 2.5.

Answer:

2.861

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

They are similar by the definition of similarity in terms of a dilation.

Two figures must have congruent (equal) comparable angle measures and proportional sides in order to be considered similar. Dilations produce comparable numbers because adding the scale factor produces proportional sides while keeping the angle measurement and form constant.

Given

In GHI ,

GH = 3cm [using distance formula]

HI = 5.65 cm

GI = 6 c

In JKL,

JK = 2.2361 cm

KL = 2.8284 cm

JL = 3 cm

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Answer:

length: 20m

width: 10m

(or vice versa)

Step-by-step explanation:

By substituting each of the values (20 meters for length and 10 meters for width), you will receive answers that satisfy each of the given traits of the rectangle:

200=20x10

200=200

60=2(20)+2(10)

60=40+20

60=60

Answer:

It would take x = 72 minutes to drain the pool.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

As the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.

Thus,

As the water drains, the height of the water changes at a rate of -1/2 inch per minute.

Thus, using the equation

[tex]y = mx+b[/tex]

substituting m = -1/2 and b = 36

[tex]y\:=\:-\frac{1}{2}x+36[/tex]

We know that when the pool drains, the height of water reduces to zero.

Thus, substituting y = 0 in the equation

[tex]0=-\frac{1}{2}x+36[/tex]

switching sides

[tex]-\frac{1}{2}x+36=0[/tex]

subtract 36 from both sides

[tex]-\frac{1}{2}x+36-36=0-36[/tex]

[tex]-\frac{1}{2}x=-36[/tex]

Multiplying both sides by -2

[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]

[tex]x=72[/tex]

Therefore, it would take x = 72 minutes to drain the pool.

Answer:

x is equal to 19/5 which can also be expressed as  [tex]3\frac{4}{5}[/tex], or 3.8

Step-by-step explanation:

[tex]3x - 2/4 - 2x - 5/3 = 1 + x/6\\\\x - x / 6 = 1 + 2/4 + 5/3\\\\5x/6 = 6/6 + 3/6 + 10/6\\\\\frac{5}{6}x = 19/6\\\\x = \frac{19}{6} * \frac{6}{5}\\\\x = \frac{19}{5}[/tex]

Answer:

x = 12

Step-by-step explanation:

Solve:

[tex]\displaystyle \frac{3x-2}{4}-\frac{2x-5}{3}=\frac{1+x}{6}[/tex]

To eliminate denominators, we multiply all terms by the LCM of 4,3, and 6 = 12.

Multiply by 12:

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

Operating:

[tex]9x-6-8x+20=2x+2[/tex]

[tex]9x-8x-2x=6-20+2[/tex]

Simplifying:

-x=-12

x = 12

Answer: 122 months.

Step-by-step explanation: The first step is to calculate the minimum monthly payment using the debt balance of $75,000 and 12% APR compounded monthly,which = $75,000 × 12% / 12 = $750 . The second step is to use the same $750 as payment, and using a discount rate of 4%/12, calculate the number of months required to pay off the present value (PV) of $75,000 , which = 122 months.

Answer: (7t)/(y+v)

All work is in the picture below:

Answer:

The height of the pile is increasing at a rate of 1.78 ft/min

Step-by-step explanation:

As we can see, we have the rate at which the volume is increasing

Mathematically, the volume of a cone can be calculated by the formula;

1/3 * π * r^2 * h

but here, we are dealing with base diameter which is d

and r is d/2

So we have the formula as;

1/3 * π * (d/2)^2 * h

since h is same as d for this particular cone, we can replace d with h so that we now have;

1/3 * π * h^3/4

= πh^3/12

what we have in the question is dv/dt

what we want to calculate is dh/dt

Mathematically;

dh/dt = dh/dv * dv/dt

dh/dv is 1/dv/dh

dv/dh = πh^2/36 where h = 15

dv/dh = 225 π/36

dh/dv is now;

36/225π

So, finally;

dh/dt = 36/225 π * 35

dh/dt = 1.78 ft/min

Answer:

C. ECA = BDA

Step-by-step explanation:

An angle is said to be produced whenever two or more lines meet at a point. An interior angle is an angle form within two lines meeting at a point. Then, alternate interior angles are internal angles that are equal due to alternate theorem. These angles should have equal measures.

From the given question, the alternate interior angles by the theorem is;

ECA = BDA

By the alternate interior angle theorem, the alternate interior angles are ECA and BDA. This implies that the measure of <ECA should be equal to the measure of <BDA.

Answer:

3,510

Step-by-step explanation:

3,511.1 is closer to 3,510 than it is to 3,520

Answer:

see below

Step-by-step explanation:

5/6 × 1/5= 1/6

Rewrite the fractions

5/5 * 1/6 = 1/6

1 * 1/6 = 1/6

1/6 = 1/6

Answer:

below

Step-by-step explanation:

[tex] \frac{5}{6} \times \frac{1}{5} [/tex]

divided 5 by 5

[tex] 5 \div 5 = 1 [/tex]

multiply 1 by 1/6

[tex] 1 \times \frac{1}{6} [/tex]

hence,

[tex] = \frac{1}{6} [/tex]

You can model the situation you described as

[tex]y=125+5x[/tex]

Where [tex]y[/tex] represents the money spent, and [tex]x[/tex] the number of uses.

The [tex]y[/tex] intercept is 125, which represents the money spent without using the club even once. In fact, to find it you set [tex]x=0[/tex], i.e. zero usage.

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

B

Step-by-step explanation:

Let the width be x, and the length be y

xy = 50

y = 2x

2x^2 = 50

x^2 = 25

x = 5

y = 10

3*8 = 24

Answer:

3

Step-by-step explanation:

2/(2/3)=(2/1)/(2/3)=(2/1)(3/2)=6/2=3

Answer:

3, I think (hope this helps)

Step-by-step explanation: