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3 years ago

What is the value of x?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

I just learned this!!!x=7
10x-20=6x+8
10x=6x+28
4x=28
x=7

Have a super day!!!

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12(4x−5) 52=10 drag and drop the correct number in the box. x= the answers are 5 12 8 20

sergij07 [2.7K]

<span>12*(4x−5)/52=10 if this is the equation
the value for x would be
x </span>≈ 12

3 0

3 years ago

An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0

1 year ago

Which inverse operation should be performed first?: m = 7 = 32.

Mumz [18]

The answer is multiplication

7 0

3 years ago

How does the graph of y= -(2x+6)^2+3 compare to the graph of a parent function

raketka [301]

Here the list of the transformations applied to the parent function, and their effect:

$x^2 \to (2x)^2=4x^2$ . This causes a horizontal compression of factor 4.
$(2x)^2 \to (2x+6)^2= 4(x+3)^2$ . This causes a horizontal translation, 3 units to the left.
$(2x+6)^2 \to -(2x+6)^2$ . This causes a reflection about the x axis.
$-(2x+6)^2 \to -(2x+6)^2+3$ . This causes a vertical translation, 3 units up

So, if you start from the graph of $y=x^2$ , you have to compress and translate it horizontally, flip it with respect to the x axis, and finally move it up 3 units.

7 0

3 years ago

Which is more of a percise measurement 5.7mm or 3.6 m

ss7ja [257]

5.7mm would be more precise. It's more exact. <span />

5 0

3 years ago