Given:
Ratio of 40 centimeters to 2 metre.
To find:
The ratio in its simplest form.
Solution:
We know that,
1 m = 100 cm
2 m = 200 cm
We have, ratio of 40 centimeters to 2 metre.
[tex]Ratio=\dfrac{40\ cm}{2\ m}[/tex]
[tex]Ratio=\dfrac{40\ cm}{200\ cm}[/tex]
[tex]Ratio=\dfrac{40}{200}[/tex]
[tex]Ratio=\dfrac{1}{5}[/tex]
[tex]Ratio=1:5[/tex]
Therefore, the required ratio in the simplified form is 1:5.
Natalie earned a grade of 79 on her multiple choice science final that had a total of 200 problems. How many problems on the final exam did Natalie answer correctly?
Answer:
158 correct
Step-by-step explanation:
79 out of 100 = 158 out of 200
i need the answer -2x + 7
Answer:
Step-by-step explanation:
-2x + 7 =0
-2x = - 7
x = - 7/-2 = 7/2
Answer:
5x i think
Step-by-step explanation:
pls help LOTS OF POINTS!!!! HELP!!!!!!
Answer:
8
Step-by-step explanation:
You have $500 in a savings account. How long will it take to double that
amount at an 8% annual interest rate?
Answer:
Step-by-step explanation:
The formula for compound annual interest is A = P(1 + r)t where
A = Accumulated or final amount (double $500 = $1000)
P = Principal or original amount ($500)
r = Rate as a decimal (0.08)
t = Time in years
1000 = 500(1 + 0.08)t
2 = 1.08t
Take the logarithm of both sides. I prefer the natural logarithm ln, but if you're more comfortable with base 10 logs they will work just as well
ln(2) = ln(1.08t)
ln(2) = t*ln(1.08)
t = ln(2)/ln(1.08)
t = 9.0065 years
Check: 500*1.089.0065 = $1000
Help[tex]\frac{\sqrt[3]{175} }{\sqrt[3]{50} }[/tex]
Answer:
take 175 cubed
50 cubed
then divided your answers
Step-by-step explanation:
I hope this helped a little
|The angles in a triangle are in the ratio 1:1:4
|(a) Find the size of the largest angle?
b) what type of triangle is it?
Since the internal angle sum of a triangle is 180 degrees, and the angles are in ratio if 1:1:4, the angles with that's corresponding to the 1 will have value of 180/6=30 degrees.
The largest angle will have value 30*4=120 degrees.
This is an obtuse triangle because largest angle>90 degrees.
Select all equations that are true. A. 2 2/3 × 4 = 8 2/3 B. 3 1/3 × 5/8 = 2 1/12 C. 6 2/3 × 2 1/2 = 16 2/3 D. 1 5/12 × 6 2/3 = 9 4/9 E. 4 1/2 × 3 4/5 = 12 2/5
Answer:
B, C, D hope this helps btw are you from connexus?
Step-by-step explanation:
When using substitution to solve this system of equations
6y + 2x = 3
2x + y = 8
which variable will you solve for?
Your class wants to raise more than $350 for the Freshman Party and you choose to sell candy and cookies to accomplish this task. You earn $6 on each basket of candy, b, and $3 on each box of cookies, c, that you sell. If the number of boxes of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?
Answer:
16 baskets of candy.
Step-by-step explanation:
78 boxes of cookies times $3 per box equals $234.
$350-$234=$116 left you need to make so-
each basket of candy earns $6, divide $116 by $6 to equal 56.
You will need to sell 56 baskets of candy at $6 each to reach your goal of $350 .
Number 12 AND QUICKKKK
Answer:
id say A
because its an opened circle, and when its opened its usually not with the little dash and there's no negative number (that i know of)
what is equivalent to 5/7
Answer:
10/14 25/35
Step-by-step explanation:
Answer:10/14
Step-by-step explanation:
If r varies directly as t andr= -20 when t = 4, find r when t= -6.
Answer:
Step-by-step explanation:
t r = k/t Where k = constant of proportionality 132 = k/4 k = 4 x 132 k = 528 Formula r = 528/t Using formula r = 528/32 r = 16.5 Hope this helps :-) ...
The value of r should be considered as the 16.5 at the time when t = 4.
Calculation of the value of r:Since we know that
t r = k/t
here k = constant of proportionality
So,
132 = k/4
k = 4 x 132
k = 528
Now
r = 528/t
r = 528/32
r = 16.5
hence, The value of r should be considered as the 16.5 at the time when t = 4.
Learn more about radius here: https://brainly.com/question/3708862
At Garland School, 3/5 of the 490 students are boys.
At Bowood School, 5/7 of the 945 students are girls.
Which school has the greater number of girls and by how many?
You must show your working.
Step-by-step explanation:
the bowood school by 455 kids
Determine the average rate of change from x = 0 to x = 4
Answer:
I'm super bad at math sowy!!!
Step-by-step explanation:
\(T T)/
explain how you know that y is not directly proportianal to x
Algebra 1 Chapter 5 test
I didn't understand your question.
What is equivalent to 4x + 6y
Answer:
Is that all...
Step-by-step explanation:
Is there any other information if not then it is impossible to answer that question.
Which value of x makes the value of the expression x - 11.5 a negative number?
Answer:
11
Step-by-step explanation:
The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.
How to write two collum proofs
Answer:
When writing your own two-column proof, keep these things in mind:
Number each step.
Start with the given information.
Statements with the same reason can be combined into one step. ...
Draw a picture and mark it with the given information.
You must have a reason for EVERY statement.
Step-by-step explanation:
if 3x=2z, then 2z=3x whats the explanation
Answer:
3x+2z =8. 2x=4
Step-by-step explanation:
Answer: Symmetric property
Step-by-step explanation:
This is the Symmetric property.
The Symmetric property states: If x=y, then y=x. This fits the question, since 3x=2z, then 2z=3x.
Hope this helps!! :)
Please let me know if you have any questions
There are 8 teams playing in the tournament. Each team is scheduled to play every other team once. How many games will be played during the tournament?
A. 15
B. 21
C. 28
D. 36
Plz help me! who ansers this good I will giv 50 points!!!! I will vote you brainlest
Answer:
36 i did the quiz!
Your boss is submitting a report to an organization that ensures employees in your industry are paid fairly. He asked you to calculate some summary statistics including the range and the mean. The salaries are as follows: $48,000, $41,000, $29,000, $48,000, $32,000. Provide the statistics for your boss.
Answer:
hana,dul,set,kaenada-in
Look at the angle shown. Which measure is closest to the measure of the angle? A) 140° B) 90° C)40° D) 15°
Answer:
can you provide a picture?
Step-by-step explanation:
if it dorms an L it's C, is it's almost a straight horizontal line it's A
Y is such that 4y _ 7<= 3y and 3y <= 5y +8. What range of values of y satisfies both inequalities
Answer:
-4≤y≤7Step-by-step explanation:
Given the inequality expressions
4y - 7 ≤ 3y and 3y≤5y+8
For 4y - 7 ≤ 3y
Collect like terms
4y - 3y ≤ 7
y ≤ 7
For 3y≤5y+8
Collect like terms
3y - 5y ≤ 8
-2y ≤ 8
y ≥ 8/-2
y ≥ -4
Combining both solutions
-4≤y≤7
Hence the range of values of y that satisfies both inequalities is -4≤y≤7
.
Write a rule for the linear function in the table.
x
f(x)
2
5
5
11
8
17
11
23
f(x) = 2x + 1
f(x) = [tex]\frac{1}{2}[/tex] + 1
f(x) = –2x – 1
f(x) = x + 5
Answer: brainly
someone said f(x) = x+5
Step-by-step explanation:
The width of a rectangle measures (3n + 8p) centimeters, and its length measures
(3n - 4p) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
Answer:
12n - 8p = perimeter
Step-by-step explanation:
Perimeter is 2(length) + 2(width)
2(3n+8p) + 2(3n-4p)
Distribute:
6n + 16p + 6n - 8p
Simplify:
12n - 8p
Hope this helps :)
PLEASE HELP
1.How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that costs $1.00 per pound?
2.A chemist needs to mix a 12% acid solution with a 32% acid solution to
obtain an 8‐liters mixture consisting of 20% acid. How many liters of each of
the acid solutions must be used?
9514 1404 393
Answer:
1012%: 4.8 L; 32%: 3.2 LStep-by-step explanation:
For mixture problems, I like to use a single variable to represent the quantity of the greatest contributor (greatest cost or greatest concentration). Let that variable be x.
1. In this problem, the amount of the greatest contributor is already fixed, so we'll use x for the amount of walnuts. The cost of the mix is ...
0.80x + 1.25(8) = 1.00(x +8)
2 = 0.2x . . . . . . . . . . . . . . . . . subtract 0.8x+8, simplify
10 = x . . . . . . . . . divide by 0.2
10 pounds of walnuts must be used.
__
2. The amount of acid in the mix is ...
12%(8 -x) +32%(x) = 20%(8)
20%(x) = 8%(8) . . . . . . . . . . . . subtract 12%(8)
x = 8(8)/20 = 3.2 . . . . . . . . . . divide by 20%
8-x = 4.8
3.2 liters of 32% acid must be mixed with 4.8 liters of 12% acid
_____
Comment on mixture problems
The general solution for mixture problems that have a greater contributor (G), a lesser contributor (L), and a mix value (M) is ...
g/l = (M -L)/(G -M) . . . . . . ratio of quantities of G and L
In the first problem, this becomes ...
8/l = (1.00 -.80)/(1.25 -1.00) = .2/.25 = 4/5 ⇒ l = 8(5/4) = 10
In the second problem, this becomes ...
g/l = (20-12)/(32-20) = 8/12 = 2/3 ⇒ g = (2/5)(8) = 3.2; l = (3/5)(8) = 4.8
In this case, we recognize that the ratio of 2 parts to 3 parts means that the greater contributor is 2 of 5 total parts.
Jim drank 2 4/5 cups of orange juice and Jack drank 1 1/10 cups less than Jim. How much juice did jack drink? Explain your answer.
Answer:
Step-by-step explanation:
2 4/5 - 1 1/10
2 8/10 - 1 1/10
1 7/10 is how much juice Jack drank
Answer:
1 7/10
Step-by-step explanation:
First you should change 4/5 to 8/10 to have a common denominator. Then you just subtract and to get the answer.
3x + 10 = -14
CAN SOMEONE HELP MEEE
Answer:
-8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
3 x -8 = -24
-24 + 10 = -14
Jack is swimming along the surface of the ocean.Max is sitting on the deck of a ship above Jack.Alex is diving beneath Jack searching for sea life.Who could be at an elevation of -5m?
Answer:
Alex
Step-by-step explanation:
Representing the position of each person with respect to sea level :
Jack = surface of the ocean = 0 m
Max = Deck of a ship = elevation is above sea level = positive distance or elevation
Alex = Searching for sea life = below ocean surface = negative distance or elevation
Given an elevation of - 5m, then the person who could be at this elevation is Alex