the difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10 of their sum. find both numbers
Step by step please
Answer:
Step-by-step explanation:
x-y=14
x-1/3y=1/10
-y=14-x
y=-14+x
take out the factors
x-10/30y=3/30
30x-10y=3
substitute
30x-10(-14+x)=3
30x+140-10x=3-140
20x/20=-137/20
x=-6.85
y=-14+(-6.85)
y=-20.85
The two numbers are 143/20 and 423/20.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the difference between two numbers is 14.
Let the smaller number be x and the larger number be y.
Here, y-x=14 ------------(i)
If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.
1/3 of larger number is 1/3 y
x-y/3 =1/10 ------------(ii)
From equation (i), substitute y=14+x in equation (ii), we get
x-(14+x)/3 =1/10
10(3x-14-x)=3
30x-140-10=3
20x-140=3
20x=143
x=143/20
Substitute x=143/20 in equation (i), we get
y-143/20=14
y=14+143/20
y=(280+143)/20
y=423/20
Therefore, the two numbers are 143/20 and 423/20.
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if r 1 and 0 = 7pi/6 what is the approximate arc length
what is 2/3 of 1/4 THANKS!
Answer:
1/6
Step-by-step explanation:
[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]
Answer:
1/6
Step-by-step explanation:
(2/3)(1/4)=2/12=1/6
If f(x) = 3x^2 + 4 and g(x) = 2x - 1, what is f(g (x))?
A) 12x^2 - 12x + 7
B) 3x^2 + 2x + 3
C) 12x^2 - 4x + 5
D) 36x^2 - 36x + 9
Answer:
c just did it
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST
Answer:
in fractions: 0, 1/5, 2/5, 3/5, 4/5, 1 (5/5)
in percents: 0%, 20%, 40%, 60%, 80%, 100%
Step-by-step explanation:
all the fractions line up with the percents
Answer:
This is the model i made
The exponential function g, represented in the table, can be written g(x) = a•b^c
Answer:
okay
Step-by-step explanation:
palish pnyang pnyang sbaby sha
list some things I could spend a million dollars on.. doing a math worksheet and I can’t think of things.. help!
Answer:
A car, college, and house, bills. and Airplane? would those work?
Step-by-step explanation:
What is the value of 1,608 divided by 10 cubed
Answer:
16 2/25
Step-by-step explanation:
1608 / 10^2
1608/100
16 8/100
16 4/50
16 2/25
Answer:
1.608
Step-by-step explanation:
1608 ÷ 1000 = 1.608
Tim asked 128 people whether or not they eat a healthy diet and whether they get regular exercise. The result of Tim's survey are shown in the Venn diagram below. One number is missing from the diagram.
You are reading an article in your school newspaper
Which of the following is NOT one of the benefits of owning your own home?
a.
Pride of ownership, privacy, and quality of life
b.
Predictable payments and added stability
c.
Tax deductions for interest costs
d.
Lower maintenance or repair costs compared to renting your home
e.
Homeownership usually serves as protection against inflation
Answer:
c Tax deductions for interest costs
Step-by-step explanation:
This is because it is the only one that wouldn't make a home owner happy. Most people hate doing taxes therefore it would be a disadvantage not a benefit
Which equation is correct?
a) cos G = 15/17
b) cos G = 8/15
c) sin G = 15/17
d) sin G = 8/15
The square root 24 is between which two numbers on the number line
A)
1 and 2
B)
2 and 3
C)
3 and 4
D)
4 and 5
Answer:
Step-by-step explanation:
4²=16
5²=25
so √24 is between 4 and 5.
The diagram shows a solid triangular prism. Height 6cm width 4cm length 10cm the prism is made from wood with a density of 0.8 g/cm3 work out the mass of this prism
Answer:
Step-by-step explanation:
The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
What is the volume of a prism?The volume of a prism is the total space occupied by it.
What is the density of a prism?The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:
Density = Mass/Volume
How do we solve the given question?In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.
We first find the volume of the prism.
The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.
Let the mass of the prism be m grams.
We know the density of the prism is given by the formula,
Density = Mass/Volume
or, 0.8 = m/120
or, m = 120*0.8
or, m = 96
∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
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write 3.402 as a fraction.
Answer:
that as a fraction is 3 and 201 over 500
Answer:
3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction
Step-by-step explanation:
Curtis mowed 9 of the yard's 25 grassy patches. Use a proportion to show how many grassy patches he would probably mow out of 60 total.
Answer:
22 yards
Step-by-step explanation:
9/25 = x/60
cross-multiply:
25x = 540
x = 21.6
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)2
A. y=-3x+1
B. y--3x+3
C. y = 2 x -
D. y-22 8x-3
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = -2/3x + b
-1 = -2/3(-3) + b
-1 = 2 + b
-3 = b
y = -2/3x - 3
Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) = –11n2 – 8n – 4 –11n2 – 2n + 4 –5n2 – 8n + 4 –5n2 – 2n – 4
Answer:
-5n² - 8n + 4
Step-by-step explanation:
Given the expression
(3n²– 5n + 6) + (–8n²– 3n – 2)
Expand the bracket
3n²– 5n + 6 –8n²– 3n – 2
Collect the like terms
3n²-8n²-5n– 3n – 2+6
-5n² - 8n + 4
This gives the required result
C: -5n^2 - 8n + 4
The answer to the second question is 4, 11, and 5.
PLEASE FILL IN THE BLANKS WITH THE CORRECT ANSWERS! THIS ASSIGNMENT IS GOING TO BE DUE IN 20 MINUTES. PLEASE BE A KIND PERSON AND HELP ME ANSWER THIS!
Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars
quality plumbing charges 50 for each hour of work plus one time fee of 150
t or f quality plumbing charges the least for 5 hours of work false
Step-by-step explanation:
I think this is correct, no time to explain if you need this answer fast
y= 4x + 2
y= 4x + 6
How many Solutions
Working alone, Jacob can paint a fence in
nine hours. Molly can paint the same
fence in eight hours. Find how long it
would take them if they worked together.
Answer:
it would be In 17 hours
Step-by-step explanation:
let me know if I am wrong or right thxs
Answer:
4 4/17 hours
Step-by-step explanation:
In one hour Jacob can paint 1/9 of the fence
In one hour Molly can paint 1/8 of the fence
This equation can determine how long it would take if they worked together:
1/9x + 1/8x = 1
multiply each term by lcm of 72 to eliminate denominators to get:
8x + 9x = 72
17x = 72
x = 72/17
x = 4 4/17 hours
DONT SKIP . URGENT WILL GIVE BRAINLIEST.
Question 8 of 10
What is the distance between points D and E?
6
4
3
2
D(42)
!
S4 3 2
-1
-1
3 4 5
E (42)
- یہ دن من
4
-5
O A. 5 units
OB. 4 units
O C. 2 units
O D. 6 units
B. 4 units
To find this you add 2 and -2 as if -2 was positive. Since the x-axis is the same,4, you don't have to do anything.
AB is parallel to ED.
ACD and BCE are straight lines.
AB = 8 cm
AC = 4.8cm
BC = 6.4cm
ED = 20 cm
Work out the length of BE.
Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CE}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values
[tex]\frac{6.4}{CE}[/tex] = [tex]\frac{8}{20}[/tex] ( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm
How would you solve problems like this
Callie wrote this number to show the change in volume of a water cooler after practice. -9/10
What’s equivalent to what Callie wrote
The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :
= [tex]\frac{-9}{10}[/tex]
Let's check from the given options which is the correct one.
A)
- [tex]\frac{9}{-10}[/tex]
if we multiply and divide by -1 then we find that the given fraction is equal to :
= [tex]\frac{9}{10}[/tex]
This is not equal to what Callie has written.
B)
[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.
C)
[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.
D)
[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.
Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
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Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range? a. No: we would have no information about the domain. c. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n. b. No: we would need to know if the vertex is a minimum or a maximum. d. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.
Answer:
The answer would have to be B
Step-by-step explanation:
explains itself
Answer:it’s B
Step-by-step explanation:
help plssssss!!!!!!!
True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)
Answer:
Hello! Your answer is, True
Step-by-step explanation:
Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥
Show all the steps that you used to solve this problem.
Write an inequality for the graph.
Answer:
h(x) ≥ |x - 5| +1
Step-by-step explanation:
Given graph represents an absolute function (parent function)
f(x) = |x|
Since, graph of the function 'f' has been shifted 5 units to the right new function will be,
g(x) = f(x - 5)
g(x) = |x - 5|
Again function 'g' is shifted 1 unit upwards along the y-axis then the new function will be,
h(x) = g(x) + 1
h(x) = |x - 5| + 1
There is a shaded region representing the solution area lying above the intersecting dark lines,
Therefore, solution region will be re[presented by the inequality,
h(x) ≥ |x - 5| + 1
A train travels a total of 67 km at a constant speed of 110 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second.
Answer:
36 m 32 s
Step-by-step explanation:
67 /110 = 0.609 hour
0.609 × 60 minutes = 36.54 minutes
36 minutes + 0.54×60 second
= 36 minutes 32 seconds
Answer:
36 mins 32 secs
Step-by-step explanation:
4/5 divided by 3/4
I need help please!! :)
Answer:
1 1/5 in fraction form :))