Answer: 2/5
Step-by-step explanation: hope it helps
the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.
Answer:
The amount of saving is Rs.1000.
Step-by-step explanation:
Solution :
Let the,
>> Expenditure = 3x>> Saving = 2xSo, solving for x.
[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]
[tex]{\dashrightarrow{\tt{x =500}}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]
Hence, the value of x is 500.
Thus,
>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000[tex] \rule{300}{1.5}[/tex]
To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?
Answer:
1100
Step-by-step explanation:
because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100
Answer:
1,100
Step-by-step explanation:
Between which two intervals on the number line is V38?
A.) 6.0 and 6.05
B.) 6.6 and 6.65
C.) 6.15 and 6.2
D.) 6.1 and 6.15
Given that m||n, determine the relationship between ∠9 and ∠15.
The relationship between ∠9 and ∠15 is (c) alternate exterior angles.
There are several relationships that can be formed by angles within the transversal of parallel lines.
From the attached figure, we can see that angles ∠9 and ∠15 are exterior angles of parallel lines m and n.
Because these lines are parallel, then both angles are alternate exterior angles.
Read more about parallel lines at:
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What is the GCF of 14mn, 56m^2n^3, 28m^3n^2?
a) 7m^2n^2
b) 7mn
c) 14m^3n^3
d) 14m^2n^2
e) 14mn
Answer:
e) 14mn.
Step-by-step explanation:
The GCF of 14, 56 and 28 is 14,
The GCF of m, m^2 and m^3 is m.
The GCF of n, n^2 and n^3 is n.
The answer is therefore 14mn.
Which inequality is true when x = 4?
Answer:
x + 5 < 3
Step-by-step explanation:
One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.
From his house, Tom rides his bike 5 kilometers east to the store. He then rides his bike 2 kilometers west to his friends house. What Tom's displacement from his house
Answer:
3 km
Step-by-step explanation:
He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.
the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price
can someone please awnser this right away
Answer:
[tex]25 \times \frac{60}{100} = 15[/tex]
Step-by-step explanation:
Multiply 25 by 60%
Consider the equation.
8x - 16y = - 14
The equation representing a line that is parallel to the line given and passing through the point (3, 0) is y= ___ x + ___
Answer:
[tex]y= \frac{1}{2}x+3[/tex]
Step-by-step explanation:
Rearrange equation to isolate y variable.
[tex]16y=8x+14[/tex]
Divide by 16 on both sides.
[tex]y=\frac{1}{2} x+7[/tex].
To make the line parallel to the given equation and pass through (3,0),
we will move the y intercept to 3.
[tex]y= \frac{1}{2}x+3[/tex]
Katrina is solving the equation x minus 2 (x 3) = 4 (2 x 3) minus (x 4). Which equivalent equations might Katrina use? Check all that apply. X minus 2 x minus 6 = 8 x 12 minus x minus 4 x minus 2 x 6 = 8 x 12 minus x 4 x minus 2 x minus 6 = 8 x 12 minus x 4 x minus 2 x 3 = 8 x 3 minus x 4 Negative x minus 6 = 7 x 8 Negative x 6 = 7 x 16 Negative x minus 6 = 7 x 16 Negative x 3 = 7 x 7.
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: https://brainly.com/question/24734894
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
Solve: x + 1 < 4 and 3 - x > 5
Answer:
okokok
Step-by-step explanation:
Can someone please help me with this one ty!!
Item 3 Martin is a chef and a caterer. When catering an event, he plans the amount of food to be prepared based on the number of people he needs to serve. The equation y = 7x represents the number of ounces of chicken required to serve x people. The equation y = 5x represents the number of ounces of fish required to serve x people. What is true of the comparison of the two graphs?
Answer:
The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.
Step-by-step explanation:
I took the test
Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people
Recall:
The linear equation of a proportional graph is represented as y = mx, where m is the slope or gradient.The larger the value of the slope, the steeper the slope of the graph.Given the following:
Graph representing the number of ounces of chicken required to serve x people: y = 7x
The slope is 7.
Graph representing the number of ounces of fish required to serve x people: y = 5x.
The slope is 5.
Therefore, comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x peopleLearn more about slopes on:
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2616.95 rounded to the nearest tenth
The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A = lw
x=
length =
width=
Answer:
x=-10,8
length=13
width=5
Step-by-step explanation:
(x+5)(x-3)=65
x^2+2x-15-65=0
x^2+2x-80=0
(x+10)(x-8)=0
x=-10,8
x+5
(-10)+5=-5, negative length does not make sense
x+5
8+5=13
x-3
(-10)-3=-13, negative width does not make sense
x-3
(8)-3=5
Answer:
x=8
length= 13inches
width=5inches
Step by step explanation:
A=lw
65= (x+5)(x-3)
65= x²-3x+5x-15
x²+2x-80=0
x²+ 10x - 8x - 80 = 0
x(x+10) -8(x+10) = 0
(x-8)(x+10)=0
x= 8 or -10
x cannot be negative
hence x= 8
length= x+5
=8+5
=13inches
width= x-3
=8-3
=5inches
order the numbers from least to greatest .
least to greatest
-4.5
-4
-3 1/2
-3
2.5
Answer:
-4.5, -4, -3 1/2, 2.5, 3
Step-by-step explanation:
What is the measure of angle PNL?
43°
47°
86°
94°
Answer:
43°
Step-by-step explanation:
Answer:
A- 43
Step-by-step explanation:
ed2022
A laptop has a listed price of $613.99 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$666.18
Step-by-step explanation:
613.99 x (1+(8.5/100)) = 666.17915 (rounded up to 666.18)
What is the LCD of 8/9 and 2/3
I need help with this question ASAP!
Suppose y varies directly with x where y=21 when x=7 find y when x = 15
Help again please
A stack of 400 pieces of paper is 1.800 inches tall.
A. Derion guesses that each piece of paper is 0.015 inches thick. Explain how you know that Derion’s answer is not correct.
B. Compute the thickness of each piece of paper. Show your reasoning.
The scale for an
airplane is 1 cm
for 15 feet. If the
plan is 9 cm
long, how long is
the actual plane?
Answer:
135 ft
Step-by-step explanation:
Each centimeter represents 15 feet, so 9 centimeters will represent ...
9 × 15 ft = 135 ft
The plane is 135 feet long.
If 60% of a KNOWN NUMBER is 180, what is the 40% of that UNKNOWN NUMBER?
Step-by-step explanation:
I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:
60% = 180
÷6
10% = 30
x4
40% = 120
(if you want to find 100%, multiply 30 by 10)
Hopefully this helps :)
Identify the terms and like terms in the expression.3n+7−n−3
Answer:
n
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers.
simplify 7 1/3t-(10 2/3t-6) it looks crazier than it is pls help
Answer:
7/3t-2(10/3t-3)
Step-by-step explanation:
7*1/3t=7/3t
-(10*2/3t-60)=-2(10/3t-3)
=7/3t-2(10/3t-3)
In Lucy's coin collection, 15% of the coins are quarters.
If there are 12 quarters, find the total number of coins in Lucy's coin collection.
The total number of coins in Lucy's coin collection is equal to 80 coins.
Let the total number of coins be C.Given the following data:
Percentage of quarters = 15%Total number of quarters = 12 quartersTo the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
[tex]\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}[/tex]
C = 80 coins.
Read more on word problem here: https://brainly.com/question/24604067
Answer:
80 coins
Step-by-step explanation:
Let the total number of coins be C.
Given the following data:
Percentage of quarters = 15%
Total number of quarters = 12 quarters
To the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
C = 80 coins.
So the total number of coins in Lucy's coin collection is 80 coins.
Emily is eating her colored candies in the following pattern: one green, one blue, one red , one orange, one brown, one green, one blue, and so on. If this pattern continues, the 27 candy she eats will be what color?
Answer:
blue
Step-by-step explanation:
a b c d e
1 2 3 4 5
27-25=2
so b, or blue
A rectangular hotel room is 4 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $71.00 per square meter. How much will it cost to recarpet the room?
Answer:
is it $120?
Step-by-step explanation:
Answer:
1,988$
Step-by-step explanation:
4x7=28x71
5(2+(-9))+-25
HELP
PLZZ
Answer:
-115
Step-by-step explanation:
Using BODMAS
+(-9) = -9
2(-9) = -18
5(-18) = -90
(-90) + (-25) = -90 - 25 = -115