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3 years ago

What is th resulting true inequality

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer:

10>-15

Step-by-step explanation:

The given inequality is:

-2<3

The inequality has to be multiplied by -5.

The multiplication is same as multiplying a normal equation with a number. The only difference is that the sign of inequality is changed when it is multiplied with a negative number.

So,

-2(-5) < 3(-5)

10>-15

So the correct answer is the last option ..

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A movie theater sold 40 juice boxes. The cashier noticed that 75% of the boxes were apple juice.

lozanna [386]

30 of them would be apple juice boxes.

40 x 75% = 30

3 0

3 years ago

What is the surface area of the prism in square feet?

frutty [35]

The surface area of the rectangular prism is 52 square feet ( $ft^{2}$ ), if the height is 4 feet, width is 3 feet and depth is 2 feet.

Step-by-step explanation:

The given is,

A rectangular prism of

Let, h - height of the rectangular prism

w - Width of the rectangular prism

d - Depth of the rectangular prism

Step:1

From given,

h = 4 feet

w = 3 feet

d = 2 feet

Step:2

Formula to calculate the surface area of the rectangular prism is,

$A = 2 (wd+hd+hw)$

Substitute the values of w,d and h

= 2 [(3×2) + (4×2) + (4×3)]

= 2 (6+8+12)

= 2 × 26

= 52

A = 52 Square feet

Result:

Thus the surface area of the rectangular prism is 52 square feet ( $ft^{2}$ ), if the height is 4 feet, width is 3 feet and depth is 2 feet.

3 0

2 years ago

. A soccer team played 32 games. If they won 25% of them, how many games did the team win?V

Bas_tet [7]

Answer:

$8\ games$

Step-by-step explanation:

Let

x----->number of games won by the football team

we know that

$25\%=25/100=0.25$

$x=0.25(32)=8\ games$

8 0

2 years ago

If a right triangle has a hypotenuse of length 20 units and one leg of length 16 units, find the length of the other leg. A. 12

xxTIMURxx [149]

Answer:

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

c is hypotenuse and a and b are the legs

we need to find a^2 so

a^2 + 16^2 = 20^2

a^22 + 256 = 400

then subtract 256 from 400

a^2 = 144

square root 144

= 12

5 0

2 years ago

Read 2 more answers

The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

What is th resulting true inequality ​

What is th resulting true inequality