Answers
Answer: 2, 8, 96cm^2, 35 miles
Explanation:What we know:
We need to solve all of the given problemsWe have the information we needWe can use ratios to our advantageHow to solve:
By using our knowledge of ratios and substitution, we can solve these problems.
Process: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
where x represents the new width, y represents the new length, and A represents the new area.
Set up equation A = xy
Substitute A = (2*4)(2*6)
Simplify A = (8)(12)
Simplify A = 96
Solution: 96 cm^2
Fourth Question
Where x represents the unknown length in miles
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
Answer: 2, 8, 96 cm^2, 35 milesCheck: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.
Related Questions
Rule 1: Multiply by 2, then add one third starting from 0. Rule 2: Add one half, then multiply by 4 starting from 1. What is the second ordered pair using the two sequences?
Answers
Answer: the "first" 1 is right
Step-by-step explanation:
15 is 20% of what number?
A.3
B.12
C.30
D.75
Answers
Answer:
D.75 is the answer
Step-by-step explanation:
We already have our first value 15 and the second value 20. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 115 = 20% × Y
STEP 215 =
20
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:
STEP 3Y = 15 ×
100
20
STEP 4Y = 15 × 100 ÷ 20
STEP 5Y = 75
Finally, we have found the value of Y which is 75 and that is our answer.
You can easily calculate 15 is 20 percent of what number by using any regular calculator, simply enter 15 × 100 ÷ 20 and you will get your answer which is 75
Answer:
75
Step-by-step explanation:
15 is 20% of What Number?
15 is 20% of What Number? - 15 is 20% of 75. 100% of 75 is 75, therefore 20 percent of 75 equals 15. To learn how to solve 15 is 20 percent of what number, see the step by step instructions below.
15 is 20 Percent of What Number?
75
Formula = Number x 100
Percent = 15 x 100
20 = 75
Following shows the steps on how to derive this formula and find out 20% of what number is 15.
Step 1: If 20% of a number is 15, then what is 100% of that number? Setup the equation.
15
20% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
20Y = 15 x 100
20Y = 1500
Y = 1500
100 = 75
The scale on a map shows that 200 miles is represented by 5 inches on a map. Which proportion can be used to find the
distance on the map, x, that represents 50 miles?
5 x
200 50
05-50
50
200
5
xlor
X
5
o
50" 200
Answers
0.6 ÷ 30 = (0.6 ÷ 3) ÷ 10 = 0.2 ÷ 10 =
Answers
Answer:
0.02
use BODMAS
bracketorderdivisionmultiplicationaddition subtraction⇒ 0.6 ÷ 30
⇒ (0.6 ÷ 3) ÷ 10
⇒ 0.2 ÷ 10
⇒ 0.02
Let's see
0.6÷303×10=30
So
(0.6÷3)÷100.2÷10(0.2÷2)÷50.1÷50.02Please help I’m stuck on 4 and 5 :(
Answers
Answer:
4) 2,400
5) The graph is going up by 500's and this could be misleading because you would have to estimate the elevation.
Step-by-step explanation:
Answer:
it depends
Step-by-step explanation:
for 4 you could say mountain a is 2,250 feet higher or that it is x% higher.
for 5 you could put "the graph may be misleading because the graph starts at a non-0 number thus making one mountain seem much taller than the other" because both mountains start at 16,500 and not 0 making the difference seem more extreme than it is.
I need helppp what’s the answer??
Answers
Answer:
90 /180 /280
Step-by-step explanation:
x+6+3x-4=90
4x+2=90
4x=88
x=22 degrees
we want to find angle MFE, so we will just plug in the value of X into the given equation to find the angle measure.
22+6 degrees=28 degrees.
angle MFE=28 degrees.
will give brainliest!
Answers
Answer:
2 by3
Step-by-step explanation:
Answer: 5 over 4
Because I noticed that the other 3 fractions are proper fractions but this one is improper so does not belong Because the numerator is bigger than the demonator. So it is improper and different and does not belong . PLEASE GIVE BRAINLIEST
please answer (20 points)
Answers
Answer:
3√2
Step-by-step explanation:
perform factorisation
√18 = √ 2 × 3 × 3
= 3√2
Raj is working on a craft that requires ribbon. He measures and records the lengths of the ribbon pieces he has. This line plot shows his results.
How much longer is one of the longest pieces of ribbon than one of the shortest pieces of ribbon?
1 in.
78 in.
34 in.
12 in.
Answers
Answer:
Raj is working on a craft that requires ribbon. He measures and records the lengths of the ribbon pieces he has. This line plot shows his results.
How much longer is one of the longest pieces of ribbon than one of the shortest pieces of ribbon?
1 in.
78 in.
34 in.
12 in.
Step-by-step explanation:
34 in ANSWER
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Answer: 3/4
Step-by-step explanation:
PLEASE HELP!!!!! ASSIGNMENT IS DUE TODAY
Answers
Answer: The answers will be in the photos.
Step-by-step explanation:
Hope this helps, and also my work might be little missy. :/
Halp me i can't fail pt.3
Answers
Answer: what’s the problem?
Step-by-step explanation: I can help if you want
What is the solution to the expression 12÷4+(1/3)²⋅9⋅3 ?
Answers
Answer:
6
Step-by-step explanation:
STEP
1
:
1
Simplify —
3
The equation at the end of step
1
:
12 1
—— + (((—)2) • 9) • 3)
4 3
STEP
2
:
Equation at the end of step
2
:
12 1
—— + ((—— • 9) • 3)
4 32
STEP
3
:
Canceling Out:
3.1 Canceling out 32 as it appears on both sides of the fraction line
Equation at the end of step
3
:
12
—— + (1 • 3)
4
STEP
4
:
3
Simplify —
1
Equation at the end of step
4
:
3 + 3
STEP
5
:
Pulling out like terms
5.1 Pull out 3
After pulling out, we are left with :
3 • ( 1 - (-1) ))
Final result :
6
Answer:
6
Step-by-step explanation:
12÷4+(1/3)²⋅9⋅3
Pemdas
Exponents
Multiplication
Division
Addition
Subtraction
*For multiplication and division, whichever one comes first (left to right) will be used first. The same goes for addition and subtraction.*
12 ÷ 4 + 1/3⋅1/3 ⋅ 9 ⋅ 3
12 ÷ 4 + 1/9 ⋅ 9 ⋅ 3
12 ÷ 4 + 1 ⋅ 3
3 + 1 ⋅ 3
3 + 3
6
Hope this helps!
Stevie is moving up to the attic and wants to paint a wall white. The wall is a triangle with a base of 20 feet and a height of 21 feet. What is the area of the wall?
Answers
Answer - 420 ft
Answer:
Step-by-step explanation:
Remark
Use the formula for the Area of a Triangle to find the number of square feet the paint will have to cover.
Formula
Area = 1/2 base * height
Givens
b = 20 feet
h = 21 feet
Solution
Area = 1/2 * 20 * 21
Area = 1/2 * 420
Area = 210 square feet
A bag contains tiles of different colors. Roshan randomly selects a tile from the bag and returns the tile to the bag after recording the color. He picks a green tile 6 times, a red tile 20 times, a blue tile 7 times, a purple tile 8 times, and a black tile 4 times. Based on the results, what is the theoretical probability that the next tile Roshan picks will be green?
Answers
Answer:
6/41
Step-by-step explanation:
6 + 7 + 20 + 8 = 41 so that is number of tiles he took. 6 of those were 41 so therefore, the chance is 6/41
Answer:
There are four red marbles and six blue marbles in all, for a total of ten marbles.
Without replacement, the probability of the first marble being blue is 6/10, while the probability of the second marble being red is 4/9.
The probability of both events occurring is reduced to 4/15 by multiplying 6/10 * 4/9 = 24/90.
Step-by-step explanation:
Mark me brainliest
Use the information to answer the WILL GIVE BRAINLIEST!! question.
The picture shows two sections of Mrs. Jones's art supply drawer.
Paints
Brushes
10 in.
8 in.
6 in.
3 in.
What is the total area of both sections of the drawer? Enter the answer in the box.
square inches
Answers
Answer : Add Both Together And You Get = 84
Brushes : 8 * 3 = 24
Paints : 10 * 6 = 60
8 x 3 = 24
60 + 24 = 84 sq inches
Subtract rational expression
Please show steps to answer
Answers
Answer:
(2x)/((x-3)(x+1))-(5)/((x-3)(x+4))
I need help on this ASAP!
Answers
Answer:
4/9
Step-by-step explanation:
need more words to send
Answer:
Step-by-step explanation:
There are at least 2 ways you could do this. The best way is to use algebra. The trick is to equate 0.444444 to x, and then create a second equation by multiplying the first equation by 10. In doing this, you can subtract the two equations and that will get rid of the decimal.
10x = 4.444444...
x = .444444... Now subtract these 2 equation
9x = 4 Divide both sides by 9
9x/9 = 4/9
x = 4/9.
Since you are given choices, you could put each one into your calculator.
1/9 = 0,111111 not the answer.
40 /99 = 0.40404040 which is close but not the answer.
4 / 99 = 0.040404 ... which again is close but not the answer.
The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000 . What is the difference in the populations of the cities when t=4 ?
Answers
Answer:
The difference in the populations of the cities when t=4 is 25,800.
Step-by-step explanation:
Given equations each of the city:
-150t+50,000
and
50t+75,000
To find the difference between the population when t=4, we first have to solve both equation when t=4.
For both equations, substitute 4 into t:
-150(4) + 50,000 = 49,400
50(4) + 75,000 = 75,200
Now subtract 49,400 from 75,200 and you get 25,800.
The difference in the populations of the cities when t=4 is 25,800.
Please explain how you got your answer.
Answers
Answer:
Step-by-step explanation:
What is the answer to this problem? Please answer fast
Answers
what is the difference between 4 hundredths and 8 ten thousandths?
Answers
Answer:
i think its 0.0392
Step-by-step explanation:
sorry if its wrong
What are the coordinates of the image of the point (-4, 3) after a rotation of 90 degrees counterclockwise around the origin followed by a translation of 1 unit down and 1 unit left?
(2, 3)
(-3, -4)
(-4, -5)
(-3, 4)
Answers
6 divide by 2 (1 + 2)
Answers
Answer:
9
Step-by-step explanation:
6/2(1+2)
6/2(3)
6/2=3
3(3)=9
6/2(3)
3(3)=9
For each ordered pair, solve the percent problems to find the coordinates. (x is 110% of 10 y% of 50 is 3.5).
Answers
Step-by-step explanation:
The value of x and y based on the percentages that are given will be 11 and 7.
How to calculate the percentage
Since x is 110% of 10. This will be;
= 110% × 10
x = 11
Since y% of 50 is 3.5. This will be:
y% × 50 = 3.5
y% = 3.5/50
0.01y = 3.5/50
y = 7
Therefore, it can be seen that value of x and y based on the percentages that are given will be 11 and 7.
Reflection: Across the line y = 2 4)
Answers
Pls help me with this
Answers
Answer:
the first blank is 118.4 and the second blank is 381.6
Step-by-step explanation
basically u multiply
katie uses 2 cups of carrots in a casserole that serves 12 people. how many cups of carrots will she use to server 18 people?
1 cup
1 1/2 cups
3 cups
4 cups
Answers
Answer:
3 cups
Step-by-step explanation:
2/12 = 1/6
1/6 * 3 = 3/18
3 out of 18 cups, so 3 cups.
Ginger mixed 4 gallons of blue paint with every 7 gallons of yellow paint in order to make a shade of green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green?
Answers
I hope this helps :)
Answer:
4:7
Step-by-step explanation:
If each of the two complementary angles has the same measure, then each angle will equal _____.
A) 90°
B) 22.5°
C) 45°
D) 180°
Answers
Answer:
A
Step-by-step explanation:
two complementary that have the same measure angels always equals 90
Robert had some friends at his house after school. His mom cut up 2 pies for them to eat. If she cut each pie into fourths, how many pieces will there be? Choose the model that represents the answer.
1/4
8/8
2/8
4/4
NO LINKS!!!!!)
Answers
Answer:
8/8
Step-by-step explanation:
There are two pies, and each one was cut into fourths. There are four fourths in a whole, and since there are two wholes, there are two four fourths (I don't know if this makes sense).
Basically, multiply how many fourths (four per pie) by how many pies there are.
4 x 2 = 8
There are 8 pieces.