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eduard
3 years ago
13

Enter and solve a polynomial equation for the situation described.

Mathematics
1 answer:
klasskru [66]3 years ago
7 0

Height = x (This is given)

Length = 5x

Width = 6x

Volume = length × width × height

The equation will be: (5x)(6x)(x) = 1920

simplify:

30x² × (x) = 1920

30x³ = 1920

Divide both sides by 30

x³= 64

x = ∛64

x= 4

If x = height, then, the height is 4cm

5x = length

20cm = length

6x = width

24cm = width


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Which expression is equivalent to 5^4(5^-^3)^2?<br> 5^1 <br> 5^2<br> 1/5^1<br> 1/5^2
inessss [21]

Answer:

1 5th  ^2.

Step-by-step explanation:

8 0
3 years ago
Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
MAXImum [283]

Answer:

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>

Step-by-step explanation:

We are given fixed monthly charge = $70.

The cost of preschool per day = $45.

Number of days = d.

Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

880 = 45×d+70

<h3>880 = 45d +70.</h3>

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

880-70 = 45d +70-70

810=45d

Dividing both sides by 45, we get

\frac{810}{45} =\frac{45d}{45}

18=d.

Therefore,<em> 18 days Barry attended preschool last month.</em>

<em>Therefore, correct option is D option.</em>

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>
4 0
2 years ago
What is the value of x?
Mariulka [41]

Answer:  x = 7

`Step-by-step explanation:

Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:

 9 cm       72 cm

----------- = -----------

3x - 20      56 cm

Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²

Dividing both sides by 72 cm, we get:

3x - 20 = (504 cm²) / (72 cm) = 7

Then 3x - 20 = 7, and 3x = 27.  Then x must be 9.

4 0
3 years ago
Read 2 more answers
it takes Renaldo 8 hours to make 7 carvings. how many many hours will it take him to make 63 carvings?
OLEGan [10]
It will take 72 hours to make 63 carvings
5 0
2 years ago
Pls helps fast!!
Aleks [24]

Answer:

Option B is correct.

Step-by-step explanation:

We have given a triangle ABC and EDC please look at the figure

We can see that AE and BD are transversal therefore, ∠EAB=∠AED being alternate interior angles

And ∠ACB=∠DCE are vertically opposite angles hence, equal

So, by AA similarity postulate the above to triangles are similar

ΔABC \sim ΔEDC

Therefore, Option B is correct that is Triangle ABC is similar to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5

NOTE: m∠3 = m∠4 corresponds to m∠ACB=m∠DCE

And m∠1 = m∠5 corresponds to m∠EAB=m∠AED

3 0
3 years ago
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