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
blsea [12.9K]
3 years ago
5

Question 22 Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every

5 liters of synthetic oil. If 552 liters of natural oil are used, how many liters of Petrolyn oil will be made?
Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

897 liters

Step-by-step explanation:

The motor oil is composed of 8 liters of natural oil and 5 liters of synthetic oil. This means there is a ratio of 8/5. We have 552 liters of natural oil to y liters of synthetic. This is the ratio 552/y. Create a proportion that compares the two ratios.

\frac{8}{5}=\frac{552}{y}

Solve by cross multiplying.

8y = 5(552)

8y = 2,760

y= 345

345 liters of synthetic oil.

Together 552+345= 897 liters of motor oil.

You might be interested in
Ben uses a compass and a straightedge to bisect angle PQR, as shown below: The figure shows two rays QP and QR with a common end
maria [59]

Answer:

The correct option is;

∠AQS ≅ ∠BQS when AS = BS

Step-by-step explanation:

Given that AQ is equal to BQ. When AS is drawn congruent to BS, we have;

QS is congruent to SQ by reflective property

Therefore;

The three sides of triangle QAS are congruent to the three sides of triangle QBS, from which we have;

∠AQS and ∠BQS are corresponding angles, therefore;

∠AQS ≅∠BQS because corresponding angles of congruent triangles are also congruent.

6 0
3 years ago
Read 2 more answers
2,408,615 in expanded
Nataliya [291]

(2 x 1000000) + (4 x 100000) + (0 x 10000) + (8 x 1000) + (6 x 100) + (1 x 10) + (5 x 1)

4 0
3 years ago
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Th
Reptile [31]

Answer:

  (a)  (x-2)^2 +(y-2)^2 = 16

  (b)  r = 2

Step-by-step explanation:

(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.

  Circle centered at (h, k) with radius r:

  (x -h)^2 +(y -k)^2 = r^2

The given circle is ...

  (x -2)^2 +(y -2)^2 = 16

__

(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:

  r = 2

6 0
3 years ago
Write a matrix equation for the given systems of equations.
REY [17]

Answer:

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

Step-by-step explanation:

Given system of equations are

2x-6y-2z = 1

3y - 2z = -5

2y + 2z = -3

given

2 x - 6 y - 2 z = 1

0 x + 3 y - 2z = -5

0 x +2y + 2 z = - 3

<em>The Matrix form of the given system of equations </em>

<em>A X = B</em>

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

4 0
3 years ago
Which of the following illustrate the commutative property? select all that apply
Genrish500 [490]

For this case we have that the commutative property establishes that the order of the factors does not alter the product. Example:

5 * 6 = 6 * 5\\4 + 3 = 3 + 4

Then we have the following options illustrate the property:

3 + 4 + 6 = 3 + 6 + 4 = 13\\9 * 2 * 7 = 7 * 9 * 2 = 126\\2 + 3 + 1 = 3 + 1 + 2 = 6\\5 + 2-4 = 5-4 + 2 = 3

It is necessary to emphasize that option b illustrates the associative property and in option c equality is not fulfilled

Answer:

Option A, D, E, F

4 0
3 years ago
Other questions:
  • A teacher has 24 students in her class. She wants to divide them into 4 equal groups. Write an expression to represent the numbe
    10·1 answer
  • If x/5+6=-14, then x=
    9·2 answers
  • You want to order a pizza that costs $12.99 with no toppings. Each topping you choose costs $0.75. Which of these equations best
    10·2 answers
  • What is an equation that requires only one step to solve one operation called?
    8·1 answer
  • Which 2 options are correct?
    9·1 answer
  • We know that 455 students are in school today.
    12·1 answer
  • WHICH ONE?! AND PLS EXPLAIN WHYYY fast pls :( <br><br> A, B, C or F
    6·1 answer
  • In rectangle PQRS, PR = 18 x - 24 and QS = x + 146, find the value of x and the length of
    12·1 answer
  • Find the perimeter of the figure.
    15·2 answers
  • Given the figure below, find the values of x and z.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!