Given : The ratio of two numbers is 4:9. When 5 is subtracted from each of them the ratio is 3:8. Find the numbers
Need to Find : The numbers
Solution : According to the question here we are given that the ratio is 4:9 and 5 is subtracted from each of these ratios after which the ratio becomes 3:8. Let's follow the steps to get the answer.
Let the constant multiple be x
Now, according to the question:
The numbers are 4x and 9x
As we get to know that each of them is subtracted by 5. So,
1st number = 4x - 5
2nd number = 9x - 5
New ratio becomes 3:8
⇢ (4x - 5)/(9x - 5) = 3/8
⇢ 8(4x - 5) = 3(9x - 5)
⇢ 32x - 40 = 27x - 15
⇢ 32x - 27x = - 15 + 40
⇢ 5x = 25
⇢ x = 25/5
⇢ x = 5
Now, getting the numbers. Instead of x we need to put 5 and multiply with the constant.
1st number = 4x = 4(5) = 20
2nd number = 9x = 9(5) = 45
∴ The numbers are 20 and 45 respectively.
One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
The figure shows three parallelograms: ABCD, A'BCD, and A"B"C"D".
Polygon ABCD is ___ to create parrellogram A’B’C’ D’
Polygon ABCD is ___
to create parallelogram A’’B'’C'’D".
A. reflected off y axis
B. rotated 90 degrees clockwise without origin
C. reflected across x- axis
D. rotated 270 degrees clockwise about the origin.
Answer:
First blank: B and C
Second blank: D and A
Step-by-step explanation:
Answer:
-Polygon ABCD is rotated 270 degrees clockwise about the origin to create parallelogram A'B'C'C'.
-Polygon ABCD is rotated 90 degrees clockwise about the origin to create parallelogram A"B"C"C".
What is the order of operations in math.
For the function , what is the maximum value?
Answer:
The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.
I hope it helps.
How do I do this? I’m confused
Is -2g/4h a monomial number
Yes, because it only has a single expression, although the division sign might not count….
Can someone please help with question 7
Answer:
EEEEZZZZZ 6.708203933
Step-by-step explanation:
Answer:
6√2
12
Step-by-step explanation:
50 points and brainliest to first correct answer. And NO LINKS. Ty :)
If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about line E prime F prime?
Square ABCD is shown with line EF running horizontally through the center of the figure.
Question 2 options:
line E prime F prime is perpendicular to line EF.
line E prime F prime is parallel to line EF.
line E prime F prime intersects with point B′.
line E prime F prime passes through the center of dilation.
Go here to see the image (it wouldnt let me attach it). The answer on this one doesnt seem right so someone pls give correct answer :)
https://brainly.com/question/24244927
Is this the question below if it is the answer is..
Answer/Step-by-step explanation:
line E prime F prime passes through the center of dilation.
Please help! Thanks!! :)
Answer:
67
Step-by-step explanation:
We plug the 7 for x and -4 for y.
The equation is 9x-y.
So it becomes; 9(7)-(-4)
This will simplify to; 63+4
Which is 67, your answer.
67 is the answer bro good luck
Is 4 16/18 simplified and what is the simplified version
Answer:
no
4 16/18 = 88
88 simplified is 44/9 ?
Christopher recorded the low temperature each day for 1 week and recorded his results in this table.
Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Low −5°F −8°F −6°F −8°F −3°F 2° F 7° F
What is the average low temperature for the week?
-3^F
Hope this helps!!
Which of the following is a run on sentence
Answer:
B.
Step-by-step explanation:
There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3
What is the slope of the function?
m=
What is the y-intercept of the function?
b=
Which equation represents the graph of the function?
Find the slope of the line.
Answer:
[tex]m=\frac{-3}{2}[/tex]
Step-by-step explanation:
We can see certain points plotted which are (-1, 2) (1,-1) and (3, -4)
We use the slope formula to find slope with any two points that were given
[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
30233088 in index form
Answer:
3.0233088 x 10 raise to power 7
Draw triangle GMT
PLS CREATE DRAWING!! refer to attachment
The angle between sides GM and MT is ∠M.
The 2 sides that include ∠T are MT and GT.
The angle between sides GT and MG is ∠G.
There's not much to say about this, but I can answer questions if you have any.
A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.
Answer:
Step-by-step explanation:
a)
p
(
red marbles
)
=
6
6
+
8
p
(
red marble
)
=
3
7
b)
p
(
o
d
d
n
u
m
b
e
r
s
)
=
3
+
4
6
+
8
p
(
o
d
d
n
u
m
b
e
r
s
)
=
1
2
c)
p
(
red marbles or odd numbers
)
=
p
(
red marbles
)
+
p
(
odd numbers
)
−
p
(
red marbles and odd numbers
)
p
(
red marbles or odd numbers
)
=
6
14
+
7
14
−
3
14
p
(
red marbles or odd numbers
)
=
10
14
d)
p
(
Blue marbles or even number
)
=
p
(
Blue marbles
)
+
p
(
even numbers
)
−
p
(
blue marbles and even numbers
)
p
(
Blue marbles
)
=
8
14
p
(
even numbers
)
=
7
14
p
(
Blue marbles or even number
)
=
8
14
+
7
14
−
4
14
p
(
Blue marbles or even number
)
=
11
14
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What is Probability in Math? - Definition & Overview
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Chapter 24 / Lesson 7
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The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.
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Use the slope formula and state what is the slope of a line with the following two points: (-2, 7) and (8, -9)?
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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winner the same as the majority winner?
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How do you evaluate (x+3)2 ?
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
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Given that,
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The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
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write a division expression that has a negative solution.
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what would be 8/1 x 1/2
Answer:
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Answer:
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Step-by-step explanation:
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please help question 20 due on monday
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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