Guest #1575

2 months ago

48a^9

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Question

Which equation would best represent this problem? Five added to 2 times a number is equal to 7 less than 4 times the number.
A. 2x + 5 = 4x â€“ 7
B. 4x + 7 = 2x â€“ 5
C. 2x â€“ 5 = 4x + 7
D. 5x + 2 = 7x â€“ 4

Solution 1

Letter (a) is the equation that best fits the problem

Question

The lateral area of a cone is 112Ï€ cm^2. The radius is 8 cm. Find the slant height of the cone.

Solution 1

We know that

[lateral area of a cone]=pi*r*l

whereÂ

l is the slant heightÂ

r is the radius

lateral area=pi*r*l---------> l=lateral area/(pi*r)-----> l=112*pi/(pi*8)---> l=14 cm

**the answer is**

**14 cm**

[lateral area of a cone]=pi*r*l

whereÂ

l is the slant heightÂ

r is the radius

lateral area=pi*r*l---------> l=lateral area/(pi*r)-----> l=112*pi/(pi*8)---> l=14 cm

Question

Factor as far as possible 3u^4-4u^3 and 3u^7+12u^2

Solution 1

For the first one you can say:

u^3(3u - 4) and that's the answer because 3 is the biggest power that you can factor.

for the second one also you can say:

3u^2(u^5-4) and that's the answer. :)))

I hope this is helpful

have a nice dayÂ

u^3(3u - 4) and that's the answer because 3 is the biggest power that you can factor.

for the second one also you can say:

3u^2(u^5-4) and that's the answer. :)))

I hope this is helpful

have a nice dayÂ

Question

A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were.The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. True or False? This frequency table can be graphically displayed as a histogram.

Solution 1

It is false. asdajsodbfisajbcÂ

Question

Manuela solved the equation 3 â€“ 2|0.5x + 1.5| = 2 for one solution. Her work is shown below. 3 â€“ 2|0.5x + 1.5| = 2 â€“2|0.5x + 1.5| = â€“1 |0.5x + 1.5| = 0.5 0.5x + 1.5 = 0.5 0.5x = â€“1 x = â€“2

Solution 1

3 â€“ 2|0.5x + 1.5| = 2

3 â€“ x â€“ 3 = 2

-x = 2

x = 2

Â

or

Â

3 â€“ 2|0.5x + 1.5| = 2

â€“ 2|0.5x + 1.5| = 2 - 3

â€“ x â€“ 3 = -1

â€“ x Â = -1 + 3

-x = 2

x = 2

Â

The solution is correct

Solution 2

**Answer:**

Its B

**Step-by-step explanation:**

**x=âˆ’4**

Correct on edge

Question

Triangle Abc is similar to triangle xyz.calculate the length of side yz

Solution 1

All we can determineÂ from the information that you have given us is thatÂ

yz should be proportionally related to bc, because their triangles are similar.

yz should be proportionally related to bc, because their triangles are similar.

Solution 2

**Answer:**

**Step-by-step explanation:**

Question

6 is 25% of what i need help on this problem

Solution 1

6 is 25% of 24. 6 times 4 = 24

Solution 2

100%/25% = 4. Since we know that 6 is 25% of a number, we can find what the number is (otherwise known as 100% of the number) by multiplying 6 by 4. 6*4= 24. 6 is 25% of 24.

Question

CDs and DVDs Solve by setting up a system of linear equations with 2 variables and 2 unknowns. CDs cost $5.96 more than DVDs at All Bets Are Off Electronics. How much would 6 CDs and 2 DVDs cost if 5 CDs and 2 DVDs cost $127.73?

Solution 1

The **relationship **between the **total cost **and the **costs **of **CDs **and **DVDs **are represented by a **linear function**.

The **cost **of **6 CDs **and **2 DVDs **is **$147.68**

Let:

From the question, we have:

Substitute in

Collect like terms

Divide both sides by 7

Substitute in

The **cost of 6 CDs **& **2 DVDs **is represented as:

So, we have:

Hence, the **cost of 6 CDs **& **2 DVDs **is **$147.68**

Read more about **linear equations **at:

Solution 2

6 CDs and 2 DVDs would cost $147.68.

Let c be the cost of a CD and d be the cost of a DVD.

We know that c = d+5.96.

We also know that 5c+2d = 127.73.

Substituting our value of c from the first equation into the second one, we have

5(d+5.96)+2d = 127.73

Using the distributive property,

5*d+5*5.96+2d = 127.73

5d+29.80+2d = 127.73

Combining like terms,

7d+29.80 = 127.73

Subtract 29.80 from both sides:

7d+29.80-29.80=127.73-29.80

7d = 97.93

Divide both sides by 7:

7d/7 = 97.93/7

d = 13.99

c = d + 5.96 = 13.99+5.96 = 19.95

6 CDs and 2 DVDs would be

6(19.95)+2(13.99) = 147.68

Let c be the cost of a CD and d be the cost of a DVD.

We know that c = d+5.96.

We also know that 5c+2d = 127.73.

Substituting our value of c from the first equation into the second one, we have

5(d+5.96)+2d = 127.73

Using the distributive property,

5*d+5*5.96+2d = 127.73

5d+29.80+2d = 127.73

Combining like terms,

7d+29.80 = 127.73

Subtract 29.80 from both sides:

7d+29.80-29.80=127.73-29.80

7d = 97.93

Divide both sides by 7:

7d/7 = 97.93/7

d = 13.99

c = d + 5.96 = 13.99+5.96 = 19.95

6 CDs and 2 DVDs would be

6(19.95)+2(13.99) = 147.68

Question

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV. Rectangle JKLM is drawn on the grid with vertices J at negative 5, 1. K is at negative 5, 6. L is at negative 7, 6. M is at negative 7, 1. Rectangle J prime K prime L prime M prime is drawn with vertices at J prime 4, 4. K prime is at 4, 9. L prime is at 2, 9. M prime is at 2, 4. Trapezoid STUV is drawn with vertices at S is at 9, negative 6. T is at 9, negative 2. U is at 7, negative 2. V is at 6, negative 5. What will be the location of U' in the image trapezoid S'T'U'V'? (16, âˆ’2)

Solution 1

U' will be at (16, 1).

The transformation that maps JKLM to J'K'L'M' is a translation 9 units right and 3 units up.

The same transformation is applied to STUV; this means that U(7, -2) will be mapped to U'(7+9, -2+3) = U'(16, 1).

The transformation that maps JKLM to J'K'L'M' is a translation 9 units right and 3 units up.

The same transformation is applied to STUV; this means that U(7, -2) will be mapped to U'(7+9, -2+3) = U'(16, 1).

Solution 2

**Answer:**

U' will be at (16, 1).

**Step-by-step explanation:**

Question

A polyhedron has 10 faces and 24 edges. Use Euler's Formula to find the missing number of vertices.

Solution 1

Â Euler's Formula :Â **VÂ -Â EÂ +Â FÂ = 2Â **

Given that F = 10 and E = 24

V - 24 + 10 Â = 2

V - 14 Â = 2

V = 16

**Answer: Vertices = 16**

Given that F = 10 and E = 24

V - 24 + 10 Â = 2

V - 14 Â = 2

V = 16

Solution 2

Hey user!!

your answer is here...

we know that Euler's formula = F + V - E = 2

given :-

faces = 10

verticies = ?

edges = 24

therefore F + V - E = 2

==> 10 + V - 24 = 2

==> -14 + V = 2

==> V = 2 + 14

==> V = 16

verification :-

= F + V - E

= 10 + 16 - 24

= 26 - 24

= 2

hence verified..

thus the no. of verticies of the polyhedron is 16.

cheers!!

your answer is here...

we know that Euler's formula = F + V - E = 2

given :-

faces = 10

verticies = ?

edges = 24

therefore F + V - E = 2

==> 10 + V - 24 = 2

==> -14 + V = 2

==> V = 2 + 14

==> V = 16

verification :-

= F + V - E

= 10 + 16 - 24

= 26 - 24

= 2

hence verified..

thus the no. of verticies of the polyhedron is 16.

cheers!!

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