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
mr_godi [17]
2 years ago
14

Can someone please do this fast

Mathematics
1 answer:
Dvinal [7]2 years ago
3 0

Answer: 2, 8, 96cm^2, 35 miles

<h3>Explanation:</h3>

What we know:

  • We need to solve all of the given problems
  • We have the information we need
  • We can use ratios to our advantage

How to solve:

    By using our knowledge of ratios and substitution, we can solve these problems.

<h3>Process:</h3>

First problem

Set up ratio                                                             7.5:15

Find GCF                                                                (7.5:15)/7.5

Simplify                                                                   1:2

Solution:                                                                  2  

Second problem

Set up equation                                                     (x/10) = (6/7.5)

Rewrite                                                                   (x/10) = (60/75)

Simplify                                                                   (x/10) = (4/5)

Common denominator                                          (x/10) = (8/10)

Isolate variable                                                      [(x/10) = (8/10)]*10

Simplify                                                                    x = 8

Solution:                                                                  8

Third Question

<em>where x represents the new width, y represents the new length, and A represents the new area.</em>

Set up equation                                                    A = xy

Substitute                                                              A = (2*4)(2*6)

Simplify                                                                  A = (8)(12)

Simplify                                                                  A = 96

Solution:                                                                96 cm^2                                                      

Fourth Question

<em>Where x represents the unknown length in miles</em>

Set up equation                                                    (21:3) = (x:5)

Rewrite in fraction form                                        [(21/3)] /3 = (x/5)

Simplify                                                                   (7/1) = (x/5)

GCF                                                                        5(7/1) = (x/5)

Isolate variable                                                       [(35/5) = (x/5)]*5

Solution:                                                                  35 miles = x

<h3>Answer: 2, 8, 96 cm^2, 35 miles</h3><h3>Check:</h3>

Problem 1:

If the scale factor is 2, then the area of a square with the side measurement of 7.5 units should be (due to areas being squared) 1/2^2 of the square with the side measurement of 15 units. Let's solve this:

(1/2^2)(15*15) = (7.5*7.5)

(1/4)(15^2) = (7.5^2)

225/4 = 56.25

56.25 = 56.25

Therefore, a scale factor of 2 is correct.

Problem 2:

If x = 8, then 8/10 should equal 6/7.5. Let's solve this:

when x = 8:

8/10 = 6/7.5

0.8 = 0.8

Therefore, x = 8 is a correct solution.

Problem 3:

If a scale factor of 2 creates the new area of 96 cm^2, then the old area of (6*4) should be (due to areas being squared) 1/2^2 of the new area. Let's solve this:

(1/2^2)(96) = (6*4)

(96/4) = 24

24 = 24

Therefore, the new area is 96 cm^2.

Problem 4:

If the houses are 35 miles apart, then 3 in./21 mi. should be equal to 5 in./35 mi. Let's solve this:

(21/3) = (35/5)

7 = 7

Therefore, the houses are 35 miles apart.

You might be interested in
Uhm,<br> so...<br> hippos<br> are... uh, i dont know, fun?
Lelechka [254]

well ,what does your question means lol

8 0
3 years ago
Read 2 more answers
Krispy Kritters Cereal used to come in a
shtirl [24]

Answer:

1335cm³

Step-by-step explanation:

The question above says that,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?

Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.

And we were given the new dimensions which are;

12.5cm wide

6.2cm deep and

30cm high

Apply this given figures in the formula above and we have:

V = 12.5 × 6.2 × 30

= 4185cm³( this is the volume of the box)

Therefore,the difference in volume between the new box and the old box is

4185 - 2850 = 1335cm³

5 0
3 years ago
Determine the maximum number of zeros of the polynomial function 5x^3-3x^2+2x+3.
serg [7]
D)4 is the answer jcidifodofif
4 0
3 years ago
Read 2 more answers
Please help!!!!!!!!! Anthony is preparing to paint a large shipping container and needs to calculate the area of the container s
irinina [24]

Answer: I need help too to that

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Matthew drove 8/16 of the way to Kentucky and Fred drove the other 1/2 distance of the distance who drove the most
Leviafan [203]
Both drove the same distance because you can draw a picture and you see its equal
4 0
3 years ago
Read 2 more answers
Other questions:
  • The longest side of a triangle is six more units than the shortest side. The third side is twice the length of the shortest side
    8·1 answer
  • Please help i can not fail this!!
    13·2 answers
  • Can someone privately help me with a math problem
    6·1 answer
  • For the fiction f(x)=x^2+3x-28 solve the following f(x) = 0
    8·1 answer
  • Find x.<br> A) 3 <br> B) 4 <br> C) 5 <br> D) 6
    9·2 answers
  • Type an equation for the following pattern: x: 1, 2, 3, 4, 5, y: 3, 4, 5, 6, 7 y=1x [?]
    10·1 answer
  • Select the letter of the correct answer. Suppose Brandon played video games for 30 hours last week. If 5/6 of the hours were spe
    8·1 answer
  • Which value in the set [4, 9, 15, 36] is a solution of 12 = 3 + x?
    13·2 answers
  • BONUS: The triangles are similar. Find the value of x. <br>​
    6·1 answer
  • What percent is 15 out of 500?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!