Answer:
1 : 3.375
Step-by-step explanation:
divide both sides by 32 to get the above answer
The simple ratio of 32kg to 108kg is 8 : 27.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, Two similar quantities one weighs 32 kgs and the other weighs
108 kgs.
Therefore, The ratio between them is 32 : 108.
= 16 : 54.
= 8 : 27.
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1. (10 points) Explain how to factor the following:
A: 3m2 + 4m +1 = 0
B: 16n- 25
C: 20n3 - 15n2 + 4n - 3
D: 864.3 + 4
Answer:
A. 3m² + 4m + 1 = 0
3m² + 3m + m + 1 = 0
3m (m + 1) + 1 (m + 1) = 0
( 3m + 1 ) (m + 1) = 0
B. 16n - 25
16n = 25
n = 25/16
Match each number with the value of the number rounded to the nearest hundred. 700800763849738Answer: _________________
Answer:
7008007638496700
Step-by-step explanation:
if you are rounding near the nearest 100th then it would be 7008007638496700
Help me with this please
Answer:
B
Step-by-step explanation:
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 for 1 and enter your answer as a decimal.
d = 8
Answer:
50.24
Step-by-step explanation:
A= pi r^2
A= 3.14 * 4^2
A= 3.14 * 16
A= 50.24
A soccer tournament was designed with 512 teams where an eighth of the teams were eliminated after each round. Write a function, f(x), that models the number of teams still in the number of teams still in the tournament after x rounds have been played.
Answer:
f
Step-by-step explanation:
fsdsdsdwdd
Someone please help I will mark brainliest
-2(3x - 10) -what would you get when distributed.
Answer:
-6x+20
Step-by-step explanation:
$750 at 6% for 18 months
Answer:
The interest is $1242.734 and the amount is $13242.734.
Step-by-step explanation:
STEP 1: Convert interest rate of 1.5% per month into rate per year.
STEP 2: Convert 210 days into years.
STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example P = $12000, i = 18% and t = 0.57534 years, so
STEP 4: Find an amount by using the formula .
Since P = $12000 and I = $1242.734 we have
find the size of angle X.
The size of angle x is 115.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the figure,
The whole complete angle is 360.
This means,
164 + 81 + x = 360
Solve for x.
164 + 81 + x = 360
245 + x = 360
x = 360 - 245
x = 115
Therefore,
The size of angle x is 115.
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The temperature at 6 a.m was -12 degrees. At 11 a.m the temperature was 0 degrees. Which of the following shows the temperature change from 6 a.m to 11 a.m
Answer:
12 deg
Step-by-step explanation:
The change in temperature is the new temperature minus the old temperature.
0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg
The change in 12 deg.
25 is what percent of 365?
I really need helpp
Answer:
7
Step-by-step explanation:
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Answer: The answer is the milky way galaxy.
Step-by-step explanation: It is that answer because nothing is brighter than it.
Answer:
The Milky Way galaxy
Step-by-step explanation:
A teacher is planning a class trip to the aquarium. The aquarium requires 2
chaperones for every 15 students. The teacher plans accordingly and orders a
total of 85 tickets. How many tickets are for chaperones, and how many are for
students? Use the table to help you solve.
Use a table.
(Fill rows as needed.)
kids
chaperones
total
15
2
17
Answer:
The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, ...
Step-by-step explanation:
maths
Airplanes use radar (radio waves) to measure distances.
The plane is at a height of 5200 m. The airport is 10.2 km away.
How far does the plane need to travel before it lands?
a) 11.4 km
b) 10.4 km
c) 5200 km
d) 10.2 km
Answer:
10.2 km
Step-by-step explanation:
I thought we have to add 5200 m + 10,2 km, but for this result there is no an alternative. So the correct answer must be 10,2 km, if the plane is right above the airport.
Is 12/25 greater than 1
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Rodney is making three pizzas. The recipe says that, for one pizza, he needs 2 cups of flour, 2 teaspoons of instant active dry yeast, 2 cloves of garlic, 1 tablespoon of olive oil, and some other ingredients. Rodney is out of flour and goes to the store to buy a bag containing 20 cups of flour. How much flour will he have left over after making the pizzas?*
Answer:
+20+-+6+=+14+
He will have 14 cups leftover
Step-by-step explanation:
help help help help help help help help
Solve for x and y.?? having trouble
Answer:
c
Step-by-step explanation:
took the test
Answer:
Option C is the correct answer
[tex] x = 34 \\y=17\sqrt3[/tex]
Step-by-step explanation:
[tex] \sin \: 30 \degree = \frac{17}{x} \\ \\ \frac{1}{2} = \frac{17}{x} \\ \\ x = 17 \times 2 \\ \\ x = 34 \\ \\ \tan \: 30 \degree = \frac{17}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{17}{y} \\ \\ y = 17 \sqrt{3} [/tex]
what is the length of the sude of a cube whose volume is 35937 cm³
The answer is 33. The side lengths of a cube are all the same and the volume is length x width x height. So, you just cube 35,937 cm to get 33 cm.
Answer:
33
Step-by-step explanation:
Which graph shows a linear function?
Answer:
There is no graph but the graph that would have a straight line
Answer:
Whichever line is straight and does not have x repeat itself is considered linear.
Step-by-step explanation:
A linear function can be shown by using the equation y=mx+b, in which m is the slope and b is the y-intercept. A linear function must be able to follow this formula in order to be considered linear. An exponential equation, quadratic equation, or other equation will not work.
Chances are, if the line is straight and the points plotted can be connected within a straight line and not overlap, they are a linear function.
[A function being an equation in which x does not repeat itself, therefore a vertical line up and down is not considered a linear function, however, a horizontal line is.]
Solve
15x +4< 26.5
Need help fast pls
Answer:
x<1.5
explanation: move 4 to other side subtract it with 26.5 then divide it by 15
Answer:.
.
Step-by-step explanation:
A motorist is pumping gas into his car at a rate of StartFraction 5 over 12 EndFraction of a gallon every StartFraction 1 over 24 EndFraction of a minute. At this rate, how many gallons of gas will he have pumped into his car in One-half of a minute?
1
5
10
20
it is 5
Step-by-step explanation:
$60,000 is invested for 2 years at a simple interest rate of 5%. how much does the investment earn?
Answer:
6,000
Step-by-step explanation:
It's correct trust me
What is the partial fraction decomposition in terms of X? Review the work showing the first few steps in writing a partial fraction decomposition. 6 O + 121-25 B 2.x - 3 А + 2-3 (21 - 3)² 412-12: +9 (2x - 3) 6 43 - 12x - 25 = A(2x - 3) + B 2.x - 3 (2:- 3) 12x - 25 = 2Ax - 3A + B 6 7 + 2x - 3 (2x - 3)2 7 2x - 3 (2,-3)
After partial fraction decomposition the correct expression we get,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]
Hence option fourth is correct.
Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.
It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.
The given expression is,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex] [since (a-b) = a² + b² -2ab]
Simplifying we get
⇒ 12x - 25 = A(2x - 3) + B
⇒ 12x - 25 = 2Ax + (B - 3A)
Comparing the coefficients we get
2A = 12
⇒ A = 6
And B - 3A = -25
Put the value of A we get
B = -7
Hence,
After substituting the values of A and B in the given expression we get
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].
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Mrs. Datz had to make a visit to the bank because her account was overdrawn
by $32. After making a deposit of $100, Mrs. Datz was now happy that she had
some money. How much money did she have after making the deposit?
Answer:
The answer of this question is $68.
A preschool has a student to teacher ratio of 5:2 The total number of students and teachers was 56 last year and is 70 this year How many students and teachers were there for each of the two years
Answer:
Step-by-step explanation:
Student : teacher = 5 : 2
Number of students = 5x
Number of teachers = 2x
Last year:
Last year Total = 56
5x+ 2x = 56
7x = 56
x = 56/7
x = 8
Number of students = 5*8 = 40
Number of teachers = 2*8 = 16
This year:Total = 70
5x + 2x = 70
7x = 70
x = 70/7
x = 10
Number of students = 5*10 = 50
Number of teachers = 2*10 = 20
-3x + -15 = 12
x = __
Answer:
x=9
Step-by-step explanation:
alright so first we eliminate the -15 and to do that we add 15 on both sides:
-3x-15+15=12+15
-3x=27
Now we divide 3 on both sides to make the equation equal to x
[tex] \frac{-3x}{-3} = \frac{27}{-3} [/tex]
x=9
And that's your answer, you're welcome :)
El 10% de que numero es 32
2/4 of the sum 17 and 4
[tex]\frac{2}{4} =\frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex]×[tex](17+4)[/tex]
[tex]\frac{1}{2}[/tex]×21[tex]=10.5[/tex]
Hope this helped.
In the number 15.42, how is the value of the digit "2" different from the value of the digit "2" in the number 12.54?