answer.
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
max2010maxim [7]
2 years ago
6

A rectangular safe can hold 5184 cubic inches. Gold bars that are 3 inches by 6 inches by 2 inches fit to completely fill the sa

fe. What is the maximum number of girl bars that will fit in the safe? 36 288 144 72
Mathematics
1 answer:
S_A_V [24]2 years ago
6 0

Answer:

144 gold bars

Step-by-step explanation:

first you fine the area gold bars take up in cubic inches by multiplying the 3, 2, and 6 to get 36

once you have the space 1 gold bar takes up you divide the total space by that the total space is 5184 so you divide 5184 by 36 to get 144

You might be interested in
A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat
il63 [147K]

Answer:

  {x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain is the list of first-values of the ordered pairs:

   {x | x = –5, –3, 1, 2, 6}

7 0
2 years ago
Read 2 more answers
For ΔABC, ∠A = 4x - 10, ∠B = 5x + 10, and ∠C = 7x + 20. If ΔABC undergoes a dilation by a scale factor of 1 3 to create ΔA'B'C'
VLD [36.1K]
We know that the angles of a triangle sum to 180°.  For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180

Combining like terms,
16x+20=180

Subtracting 20 from both sides:
16x=160

Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.

For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180

Combining like terms, 
20x-20=180

Adding 20 to both sides:
20x=200

Dividing both sides by 20:
x=10

This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.

Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
5 0
2 years ago
Read 2 more answers
Which statements are true about the graph of y s 3x + 1 and y 2 -x + 2? Check all that apply.
Varvara68 [4.7K]

Let's go through all the options one at a time and look for the correct ones

<u>Option 1: The slope of one boundary line is 2</u>

We have 2 equations of lines, where the coefficients of are 3 and -1 respectively

because the coefficient of x denotes the slope of a line, we know that the lines have the slope 3 and -1, not 2

Hence, this option is Incorrect

<u>Option 2: Both boundary lines are solid</u>

In order for the boundary lines to be solid, the inequality must have an 'equal to', like ≤ (less than or equal to) or ≥ (greater than or equal to)

we can see that that's the case in our case and hence, this option is Correct

<u>Option 3: A solution to the system is (1, 3)</u>

To confirm this, we'll plug these coordinates into the given inequalities and see if it stands correct

y ≤ 3x + 1

3 ≤ 3(1) + 1

3 ≤ 4 which is correct because 3 is less than 4

Second equation:

y ≥ 2 - x

3 ≥ 2 - 1

3 ≥ 1

Which is also true because 3 is greater than 1

Now, we can say that (1 , 3) is a solution to the system because it satisfies both the equations and is Correct

<u>Option 4: Both inequalities are shaded below the boundary lines</u>

For an inequality to be shaded below the boundary line, it must have the ≤ inequality (in case of solid line) and < inequality (in case of dotted line)

because the second inequality listed includes the ≥ inequality, which was not mentioned above, it won't be shaded below

another way to think about it is that any 'greater than' inequality will shade everything above the line and the 'lesser than' inequality will shade below the line

which means that this option is Incorrect

<u>Option 5: The boundary lines intersect</u>

In order for the boundary lines to intersect, they must have have different slopes.

as we mentioned in the explanation of the first option, that the slopes of the lines is 3 and -1, which are different slopes

Therefore, this option is Correct

5 0
2 years ago
Read 2 more answers
Which is the graph of the linear inequality 2x – 3y &lt; 12? On a coordinate plane, a solid straight line has a positive slope a
RoseWind [281]

Answer:

A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

Step-by-step explanation:

To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

3y=2x-12\\ \\y=\dfrac{2}{3}x-4

and the slope of the line is 2/3.

Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

2\cdot 0-3\cdot 0=0

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.

6 0
2 years ago
Read 2 more answers
Antoine wants to get a subscription to a local library. There are two libraries, each of which charges a monthly subscription fe
Elis [28]

Answer:

2 15.50 50

Step-by-step explanation:

took the test

3 0
2 years ago
Read 2 more answers
Other questions:
  • A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a full minute has not passed since 3:00, the hour hand is poi
    7·1 answer
  • At a convention of monsters, 2/5 have no horns, 1/7 have one horn, 1/3 have two horns, and the remaining 26 have three or more h
    5·1 answer
  • What is the completely factored form of 2x2 – 32?
    5·2 answers
  • A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin
    7·1 answer
  • Which answer does NOT correctly describe the graph of y = 5x + 12?
    6·1 answer
  • PLEASE ANSWER ASAP WILL MARK BRAINLIEST
    13·2 answers
  • Jane is taking two courses. The probablity she passes the first course is 0,7. The probablity she passes the second course is 0.
    13·1 answer
  • The breaking strength of a rivet has a mean value of 10,050 psi and a standard deviation of 499 psi. (a) What is the probability
    8·2 answers
  • 8. Which of the numbers in each pair is farther to the left on the number line?
    5·1 answer
  • You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!