If a shoebox measures 6 cm high, 7 cm wide, 20 cm long, what is its volume?

Sixty-three less than 15 times a number is 72. what is the number?

exis [7]

Answer:

-3/5

Step-by-step explanation:

First represent this with numbers. Less means subtraction -, times means multiplication *, is means equals =.

And let's represent "a number" with x.

63 - 15x = 72

Solve for x. First subtract 63 from both sides.

-15x = 72-63

-15x = 9

x = -9/15 = -3/5

7 0

3 years ago

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Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta

MrMuchimi

Answer:

The equation that best models this situation is :

b. $\frac{x}{20}=\frac{x+400}{25}$

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

Let length of the trip of Train W be = $x$ miles

Speed of Train W can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x}{20}\ miles/h$

So, the length of the trip of Train Z will be = $(x+400)$ miles

Speed of Train Z can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x+400}{25}\ miles/h$

Since the speeds are same, so the equation to find $x$ can be given as:

⇒ $\frac{x}{20}=\frac{x+400}{25}$

Solving for $x$

Multiplying both sides by 100 to remove fractions.

⇒ $100\times \frac{x}{20}=100\times \frac{x+400}{25}$

⇒ $5x=4(x+400)$

Using distribution.

⇒ $5x=4x+1600$

Subtracting both sides by $4x$

⇒ $5x-4x=4x-4x+1600$

⇒ $x=1600$

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = $1600+400$ = 2,000 miles

3 0

3 years ago

Sandra is 4 feet tall. Pablo is 10% taller than Sandra and Michaels is 8% taller than Pablo. What is Michael height in feet

taurus [48]

We first calculate Pablo's height .

4 = 100%

x = 1% (Where x is 1% of Sandra's height.)

cross multiplying the equation, we get:

100x = 4 → x = 4/100 → x = 0.04

If 1% = 0.04, then 10% will be 0.04 × 10 = 0.4

Pablo's height is 4 + 0.4 = 4.4 feet.

Now we repeat the above steps to get Michal's height from Pablo's height

4.4 = 100%

x = 1% so:

100x = 4.4 → x = 4.4/ 100 → x = 0.044

If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35

Michael's height is 4.4 + 0.35 = 4.75 feet.

5 0

3 years ago

HELP PLEASEEE. I DONT UNDERSTAND

Shtirlitz [24]

Answer:

D

Step-by-step explanation:

So we have the equation:

$x^2-6x+58=0$

And we want to solve for x.

We can solve it by completing the square.

First, subtract 58 from both sides:

$x^2-6x=-58$

Divide the b term by 2 and square it:

$(-6)/2=-3\\(-3)^2=9$

So, add 9 to both sides:

$(x^2-6x+9)=-58+9$

On the left, the perfect square trinomial pattern. Add on the right. So:

$(x-3)^2=-49$

Take the square root of both sides:

$x-3=\pm \sqrt{-49}$

The square root of -49 is 7i:

$x-3=\pm 7i$

Add 3 to both sides:

$x=3\pm 7i$

So, our answer is D.

And we're done!

4 0

3 years ago

4. The money in my savings account and in my sister's savings account is shown in the table below for a few

Troyanec [42]

Answer:

A

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers