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
KiRa [710]
3 years ago
12

3(2a + 1) = -5(a + 6)

Mathematics
1 answer:
Lemur [1.5K]3 years ago
4 0
3(2a+1)=-5(a+6)
First expand the brackets.
6a+3=-5a-30
Now add 5a to both sides.
11a+3=-30
Then subtract 3 from both sides.
11a=-33
Finally divide both sides by 11.
a=- 33/11
=-3
You might be interested in
A number that can be written as a fraction is a_______
AveGali [126]

A rational number can be writen as a fraction.

3 0
3 years ago
Does anyone know the answer
lesya [120]
If the square translates to 7 units on the right and 6 units downwards, the following changes will be made:
 
Point S will have the coordinates of (3, -5).

Point R will have the coordinates of (-1, -5).

Point U will have the coordinates of (-1, -9).

Point  T will have the coordinates of (3, -9).

According to the only answer choices in the picture, only (-5, -3) is the only point that lies on a side of the pre-image, square RSTU.
5 0
2 years ago
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
A basketball coach will select the members of a five-player team from among 9 players, including John and Peter. If the five pla
vivado [14]

Answer:

Step-by-step explanation:

Given that a basketball coach will select the members of a five-player team from among 9 players, including John and Peter.

Out of nine players five are chosen at random.

The team consists of John and Peter.

Hence we can sort 9 players as I group, John and Peter and II group 7 players.

Now the selection is 2 from I group and remaining 3 from II group.

Hence no of ways of selecting a team that includes both John and Peter=2C2*7C3=35

Total no of ways = 9C5=126

= \frac{2C2*7C3}{9C5}=\frac{35}{126} =\frac{5}{18}

6 0
3 years ago
Use a composite figure to estimate the area of the figure.
bezimeni [28]
A) about 14 square units

You have 11 fully filled squares 2 that are mostly filled and 2 that are about half filled

So 11+2+2(1/2)= about 14
6 0
2 years ago
Read 2 more answers
Other questions:
  • (8th grade question.) 40 points.<br><br><br> Write all names that apply to each number.
    13·2 answers
  • 1/2 = 1/4 (×-10) how can I solve it
    10·1 answer
  • Suppose that X is the number of hours that a computer is used in a computer lab on campus. The table below is the probability di
    11·1 answer
  • If y varies directly with x and y is 14 when x is 12 what is the value of x when y is 35
    15·1 answer
  • How do you simplify an expression WITHOUT using algebra
    9·1 answer
  • A square-shaped painting has an area of 120 square inches. What is the length of each of its sides?
    8·1 answer
  • Mabel worked 6 hours yesterday and 0.57 hour<br> today. How many hours total did she work?
    11·2 answers
  • Ellen is filling the pool shown in the figure for her little brother. She can carry
    12·1 answer
  • Which expression represents “12 less than the product of n and 5”?
    7·1 answer
  • Solve by using Vertical Velocity model: h=-16t^2+vt+s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!