How to turn the verbal phrase Two-thirds of the sum of 5 and t plus the product of 4 and z into an algebraic expression

Mathematics

1 answer:

mylen [45]3 years ago

3 0

Answer: 2/3(5+t)+(4z)

Step-by-step explanation:

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Can you help me i dont know thw anwser

Margaret [11]

$\text{Let the side of square 1, square 2 and square 3 be x, y and z respectively.}\\\\\text{Given that,}\\\\\text{Perimeter of square 1,~~ p =100 units.}\\\\\text{So}~ x=\dfrac p 4 = \dfrac{100}4 =25~\text{units.}\\\\\\\text{Area of square 2, a = 225 units}^2\\\\\text{So}~y = \sqrt{a} = \sqrt {225} = 15~ \text{units.}\\\\\text{Use Pythagorean theorem to find z}^2\\\\x^2 =y^2 +z^2 \\\\\implies 25^2 = 15^2 +z^2\\\\\implies z^2 = 625 - 225 = 400\\\\\\$

$\text{Hence the area of square 3 is 400 units}^2.$

8 0

3 years ago

Read 2 more answers

Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?

kramer

Answer:

y= -⅓x +⅓

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

This form is also known as the point-slope form.

Since the slope is given to be -⅓, m= -⅓.

y= -⅓x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -5, y=2,

2= -⅓(-5) +c

$2 = \frac{5}{3} + c \\ c = 2 - \frac{5}{3} \\ c = \frac{1}{3}$

Thus, the equation of the line is y= -⅓x +⅓.

7 0

3 years ago

I need help with number 19

inysia [295]

Let's start by understanding that the graph is a linear line. We have a common difference if 4.5 for every 10x we have more.

We can start by finding the gradient, using rise over run. Let's take (10, 4.5) and (20, 9)

Our rise is 9 - 4.5 = 4.5 and our run is 10. Then, our gradient becomes 4.5/10 = 0.45

Now, we can substitute points using the point-slope form.

y - 4.5 = 0.45(x - 10)
y - 4.5 = 0.45x - 4.5
Hence, our line becomes y = 0.45x and you can verify by substituting in points from the table.

4 0

3 years ago

What is five squared

prisoha [69]

Answer:

if you mean cubed its 125 but if you mean squared its 25

Step-by-step explanation:

6 0

3 years ago

The quantity q varies inversely with the square of m and directly with the product of r and x. When q is 2.5, mis 4 and the

saveliy_v [14]

Answer: