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
Finger [1]
2 years ago
12

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,

a width of 20.3 cm, and a height of 33.6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism? 3 4 4 5
Mathematics
2 answers:
grigory [225]2 years ago
5 0

Answer: 3.5

Step-by-step explanation:

Given: Dimensions of larger prism = length of  4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor = \dfrac{\text{Size of image}}{\text{Size of original figure}}

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor = \dfrac{14.7}{4.2}=3.5  [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5

Radda [10]2 years ago
3 0

Answer:

3.5

Step-by-step explanation:

i said its 3.5

You might be interested in
When full, one of the pools at Sapphire Island will hold 43,000 gallons. The pool currently holds 20,000 gallons of water and is
SpyIntel [72]

Answer:  Explanation and answer is attached.

Step-by-step explanation:

5 0
1 year ago
Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include t
rodikova [14]
-2x + 3 > 3(2x - 1)

the inequality sign > means 'greater than'.

First simplify the right side of the equation by distributing the 3 over the parentheses:-

-2x + 3 > 6x - 3

Now add -6x to both sides of the inequality  which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6

The next step is to divide  both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide  the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes  less than (<):-

-8x / -8 < -6/-8

x <  3/4  is your answer.
7 0
2 years ago
PI-3.
Fudgin [204]

Answer:

A. $301

B. $721

Step-by-step explanation:

Let $x be the amount of money they raised.

Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then

x=2q_1+1

Polly tried to put the $1 bills into three equal piles and found one left over at the end, then

x=3q_2+1

Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then

x=4q_3+1\\ \\x=5q_4+1\\ \\x=6q_5+1

Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then

x=7q_6

This means x-1 is divisible by 2, 3, 4, 5 and 6 without remainder, so

x-1=2\cdot 3\cdot 2\cdot 5n=60n

Hence,

x=60n+1, \ n\in N

The smallest amount of money they could have raised is $301, because

x=60\cdot 5+1=301 is divisible by 7.

Now, the number x=60n+1 should be divisible by 7 and must be greater than 500.

So,

60n+1>500\\ \\60n>499\\ \\n>8

When n = 9,

x=60\cdot 9+1=541 is not divisible by 7.

When n = 10,

x=60\cdot 10+1=601 is not divisible by 7.

When n = 11,

x=60\cdot 11+1=661 is not divisible by 7.

When n = 12,

x=60\cdot 12+1=721 is divisible by 7.

B. The least amount of money they could have raised is $721

7 0
1 year ago
Read 2 more answers
Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si
Semmy [17]

Step-by-step explanation:

Tracie’s bus travels towards her home at an average speed of StartFraction one-half EndFraction mile per minute.

4 0
1 year ago
Read 2 more answers
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. −2y2 + 6y = −2
andrezito [222]
-2y^2 + 6y + 2 = 0
a = -2, b = 6, c = 2
x = (- b + - sqrt(b^2-4ac))/(2a)
x=(-6+-sqrt(36-4*-2*2))/-4
x=(-6+-sqrt(36+16))/-4
x=(-6+-sqrt(52))/-4
x = (-6 +- 2sqrt13)/-4
x = (3 + - sqrt13)/2
8 0
2 years ago
Read 2 more answers
Other questions:
  • Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standa
    9·1 answer
  • Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she
    15·1 answer
  • If a buyer purchases 25% of a lot in the spring and then purchases 50% more later in the fall, what percentage of the lot is sti
    6·1 answer
  • Triangle FGH with vertices F(1,8), G(5,7), and H(2,3) in the line y=x.
    11·2 answers
  • A 54-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60º angle with the ground. Ho
    10·1 answer
  • Which is the simplified form of x Superscript negative 12?
    5·2 answers
  • kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of
    12·1 answer
  • David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P
    5·1 answer
  • The axis of symmetry for a quadratic equation can be found using the formula x equals StartFraction negative b Over 2 a EndFract
    6·2 answers
  • Ava said "There are only three hundred 3- diget numbers" is her statement true or faulse
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!