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
Setler [38]
2 years ago
6

john wants to magnify the image of a fire ant and a crab spider so they appear to be the same length. How many times their actua

l sizes would he need to magnify each image?The fire ant is 4 millimeters, Crab Spider is 5 millimeters.
Mathematics
1 answer:
VikaD [51]2 years ago
6 0
Think of the common multiple of 4 and 5

Multiple of four is 4, 8, 12, 16, 20, 24, 28, 32, ...
Multiple of five is 5, 10, 15, 20, 25, 30, ...

The first common multiple is 20 so we can aim for the Fire Ant and Crab Spider to be magnified to 20 millimeters

Fire Ant is to be magnified 20÷4 = 5 times
Crab Spider is to be magnified 20÷5 = 4 times


You might be interested in
Find the exponential generating function for the number of alphanumeric strings of length n n formed from the 26 26 uppercase le
lana66690 [7]

Answer:

the answer is contained in the attachment

Step-by-step explanation:

for complete explanation kindly check the attachment.

5 0
2 years ago
Which facts could be applied to simplify this expression? Check all that apply.
kykrilka [37]

The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.

D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.

Hope this helps!

3 0
2 years ago
Read 2 more answers
: The You Move It Company (YMI) advertises that the cost to rent a ​moving truck for one day is $40 plus $1.99 for each mile the
mars1129 [50]

Part A: For 100 miles, the cost will be same for both companies.

Part B: Alex should use Drive and Move company as it will cost him less money.

Step-by-step explanation:

Given,

Starting amount of YMI= $40

Per mile charges = $1.99

Let,

x be the number of miles.

y be the total charges.

y = 1.99x+40    Eqn 1

Starting amount of DM = $60

Per mile charges = $1.79

y=1.79x+60    Eqn 2

Part A:

For same charges;

Eqn 1 = Eqn 2

1.99x+40=1.79x+60\\1.99x-1.79x=60-40\\0.20x=20

Dividing both sides by 0.20

\frac{0.20x}{0.20}=\frac{20}{0.20}\\x=100

For 100 miles, the cost will be same for both companies.

Part B:

Total miles = x = 150

Putting x=150 in Eqn 1

y=1.99(150)+40

y=298.5+40

y=$338.50

Putting x=150 in Eqn 2

y=1.79(150)+60

y=268.5+60

y=$328.50

Alex should use Drive and Move company as it will cost him less money.

4 0
2 years ago
Katherine has 32 pop songs and 72 rock songs on her mp3 player that she will be organizing into playlists. She wants to put an e
ruslelena [56]

Answer:

Katherine will make minimum 8 playlists. Each playlist will contain 4 pop songs and 9 rock songs.

Step-by-step explanation:

We have been given that Katherine has 32 pop songs and 72 rock songs on her mp3 player. She is willing to organizing the songs into playlists such that there are equal number of pop songs and an equal number of rock songs into each playlist.

We can find the minimum number of playlists by finding GCF of the given two numbers.

We can write 32 = 2^5 and we can write 72 = 2^3*3^2

Therefore, GCF of the two numbers is 2^3 = 8.

Hence, she will be making total 8 playlists where each playlist will contain 4 pop songs and 9 rock songs.

6 0
2 years ago
A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides.
BlackZzzverrR [31]

Answer:

Part a) The exterior surface area is equal to 160\ ft^{2}

Part b) The volume is equal to 240\ ft^{3}

Part c) The volume water left in the trough will be 84\ ft^{3}

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

<em>Find the area of two rectangles</em>

A=2[12*5]=120\ ft^{2}

<em>Find the area of two trapezoids</em>

A=2[\frac{1}{2}(8+2)h]

Applying Pythagoras theorem calculate the height h

h^{2}=5^{2}-3^{2}

h^{2}=16

h=4\ ft

substitute the value of h to find the area

A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}

The exterior surface area is equal to

120\ ft^{2}+40\ ft^{2}=160\ ft^{2}

Part b) Find the volume

We know that

The volume is equal to

V=BL

where

B is the area of the trapezoidal face

L is the length of the trough

we have

B=20\ ft^{2}

L=12\ ft

substitute

V=20(12)=240\ ft^{3}

Part c)

<em>step 1</em>

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

A=\frac{1}{2}(5+2)(2)=7\ ft^{2}

<em>step 2</em>

Find the volume

The volume is equal to

V=BL

where

B is the area of the trapezoidal face

L is the length of the trough

we have

B=7\ ft^{2}

L=12\ ft

substitute

V=7(12)=84\ ft^{3}

4 0
2 years ago
Other questions:
  • Complementary angles sum up to equal 90 degrees. Find the measure of each angle in the figure below. Note that since the angles
    6·1 answer
  • The population of lizards on one island is 4.05 million, and the population of lizards on another island is 2.1 million. What is
    10·2 answers
  • Sebastian was in a hotel lobby and took the elevator up 7 floors to his room. Then he took the elevator down 9 floors to the par
    13·2 answers
  • A store had 4 boxes of video Games.How many days would it take to sell the games if each day they sold one fifth
    13·2 answers
  • What is the sum of 2m^2+3m-4 and m^2-3m-2
    9·1 answer
  • The deep body temperature of a healthy person is 37°C. What is it in kelvins?
    10·1 answer
  • If DGH ~ DEF, find the value of x.
    6·1 answer
  • Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below. x y 1 3 2 ? He
    7·2 answers
  • A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
    11·1 answer
  • What is the runner’s average rate of change between the hours: 0.5 and 2? mph 1.5 and 2.5? mph Average Rate of Change
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!