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3 years ago

Solve 3(x + 5) = 2x + 35

Mathematics

2 answers:

kumpel [21]3 years ago

6 0

The incorrect step is Step 2. You were supposed to subtract 2x and not add it.

elena55 [62]3 years ago

5 0

Step 2 and all that follows is wrong because it should equal 20

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Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?

nikdorinn [45]

Answer:

Step-by-step explanation:

3 0

4 years ago

Tara has 4 4/5 feet of rope. Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope? Show your work. Part B:

aleksley [76]

Answer:

Part A

12 pieces

Part B

Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.

Step-by-step explanation:

Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope?

This is calculated as:

4 4/5 feet of rope ÷ 2/5 foot pieces

= 24/5 ÷ 2/5

= 24/5 × 5/2

= 12

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given

The quotient in Part A is 12

Therefore, this can be interpreted as:

Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.

3 0

4 years ago

The numerical expresion 5+12 represents the sum of 5 and 12

Sphinxa [80]

The sum of a number is the answer to an equation of a number plus a number you are correct.

6 0

3 years ago

Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and nature of

Juli2301 [7.4K]

We know that imaginary roots always come in pairs, so we already know 4 solutions

-2, 2, 4 + i and a pair of 4 + i

Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots

So for sure, we will have 3 real roots and 2 imaginary roots

Last option, f(x) has three real roots and two imaginary roots

3 0

3 years ago

From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

6 0

2 years ago