1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrRissso [65]
2 years ago
9

Solve the equation –15 + 10y = 25 for y.

Mathematics
1 answer:
LenKa [72]2 years ago
6 0

Answer:

y = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

-15 + 10y = 25

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. [Addition Property of Equality] Add 15 on both sides:                                   10y = 40
  2. [Division Property of Equality] Divide 10 on both sides:                                y = 4
You might be interested in
Four siblings are to share in an inheritance. They are to receive money in the money in the amount of $88,000 in the ratio of 5:
11111nata11111 [884]
The answer is 44,000 dollars. due to 5+3+2+1=10, you divide 88,000 by 10 and you then multiply that by the largest number to get 44,000
6 0
3 years ago
What is the slope of line M.<br> What is a?<br> What is B?
lesantik [10]

Answer: A 2,2

Step-by-step explanation: 1 - 1 something

7 0
2 years ago
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi
storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

V = \frac{1}{3}\pi r^{2}h

Differentiate the equation with respect to time t, such that

\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)

\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)

To differentiate the product,

Let r² = u, so that

\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)

Then, using product rule

\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]

Since u = r^{2}

Then, \frac{du}{dr} = 2r

Using the Chain's rule

\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}

∴ \frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]

Then,

\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]

Now,

From the question

\frac{dr}{dt} = 7 m/min

\frac{dV}{dt} = 236 m^{3}/min

At the instant when r = 99 m

and V = 180 m^{3}

We will determine the value of h, using

V = \frac{1}{3}\pi r^{2}h

180 = \frac{1}{3}\pi (99)^{2}h

180 \times 3 = 9801\pi h

h =\frac{540}{9801\pi }

h =\frac{20}{363\pi }

Now, Putting the parameters into the equation

\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]

236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]

236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]

708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}

708 = 30790.75 \frac{dh}{dt} + 76.36

708 - 76.36 = 30790.75\frac{dh}{dt}

631.64 = 30790.75\frac{dh}{dt}

\frac{dh}{dt}= \frac{631.64}{30790.75}

\frac{dh}{dt} = 0.021 m/min

Hence, the rate of change of the height is 0.021 meters per minute.

3 0
3 years ago
Find the surface area of the composite figure.
Sloan [31]

With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

<h3>What is the surface area of a truncated prism?</h3>

The <em>surface</em> area of the <em>truncated</em> prism is the sum of the areas of its six faces, which are combinations of the areas of rectangles and <em>right</em> triangles. Then, we proceed to determine the <em>surface</em> area:

A = (12 cm) · (4 cm) + 2 · (3 cm) · (4 cm) + 2 · (12 cm) · (3 cm) + 2 · 0.5 · (12 cm) · (5 cm) + (5 cm) · (4 cm) + (13 cm) · (4 cm)

A = 48 cm² + 24 cm² + 72 cm² + 60 cm² + 20 cm² + 52 cm²

A = 276 cm²

With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

To learn more on surface areas: brainly.com/question/2835293

#SPJ1

7 0
1 year ago
Please help<br> I am dying from this question<br> Will mark brainiest if answer is given
blagie [28]

Answer:

a) 96/16÷6

b) 31.25/ (2.5)^2=5

c) = V/ pi r^2

5 0
3 years ago
Other questions:
  • in a experiment investigating the growth of spores in varying soil conditions a certain spore colony grew an average of 3 times
    6·1 answer
  • Write an expression in simplified form for the area of the rectangle​
    7·2 answers
  • Solve the problem. Make sure your answer is in simplest form and improper fractions are expressed as mixed numbers. 1/5 x 6/7?i
    11·2 answers
  • A large drain and a small drain are opened to drain a pool. The large drain can empty the pool in 2 h. After both drains have be
    9·2 answers
  • Wats da anwser 4×70=4×7×_
    11·2 answers
  • Answer plzzz!!!!!!!!!!!
    8·1 answer
  • What's the answer plz help!!!
    9·1 answer
  • The diagram shows a circle with centre
    11·1 answer
  • I WILL GIVE BRAINLIEST ( hurry!1!! :[ )
    12·2 answers
  • Radius = 13 yd; height = 8 yd
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!