The first number will be [tex]\frac{11}{2}[/tex] and the second number will be [tex]-\frac{5}{4}[/tex].
Let the first number be x and the second number be y.
According to the question,
Since seven times the first number plus six times the second number equals 31. So,
[tex]7x+6y=31.......(1)[/tex]
Similarly,Three times the first number minus ten times the second number is 29.So,
[tex]3x-10y=29.......(2)[/tex]
Multiplying equation (1) by 3 and equation (2) by 7, we get
[tex]21x+18y=93[/tex]
[tex]21x-70y=203[/tex]
Now subtracting both the equations we get,
[tex]88y=-110[/tex]
[tex]y=-\dfrac{110}{88}[/tex]
[tex]y=-\dfrac{5}{4}[/tex]
putting the value of x in equation (1) we get,
[tex]7x+6\times-\dfrac{5}{4} =31[/tex]
[tex]7x-\dfrac{15}{2}=31\\[/tex]
[tex]7x=31+\dfrac{15}{2}[/tex]
[tex]7x=\dfrac{77}{2}[/tex]
[tex]x=\dfrac{11}{2}[/tex]
Hence the first number is [tex]\frac{11}{2}[/tex] and the second number is [tex]-\frac{5}{4}[/tex].
For more details on solving linear equation in two variables follow the link:
https://brainly.com/question/10270150
Help i need help i will mark you as brainiest if your answer is right
Answer:
free points :)
Step-by-step explanation:
Arial
14
+
BI U A
16
A new Apple Watch costs $369. If the watch is
on sale for 15% off, what is the sale price?
Answer:
the answer would be 55.39
4a + 3b - 2a - 6b
.. help lol
Answer:
2a-3b
Step-by-step explanation:
Answer:
2a-3b
Step-by-step explanation:
Combine like terms,
4a-2a, 3b-6b
2a-3b
11/44 as a equivalent fraction
Answer:
1/4
Step-by-step explanation:
11/44 = 1/4
Divide the numerator and the denominator by 11
11 ÷ 11 / 44 ÷ 11
1/4
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
1/4
Step-by-step explanation:
11/11= 1, 44/11= 4
my little bro need help 7th grade math
4( ?m - ?n)
8m - 20n
Answer:
it would be 2m and 5n
Step-by-step explanation:
because 4 * 2 is 8 for m
and 4*5 is 20 for n
Answer:
4(2m - 5n)
4×2m - 4×5n
8m-20n
Therfore ans are 2m and 5 n
Which number is IRRATIONAL?
A)12
B)136
C)64
D)144
A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of uniform width around the edges. The perimeter of the poster is 1 2 3 times the perimeter of the printed area. What is the width of the blank strip
Answer:
90 cm
Step-by-step explanation:
Given that :
Perimeter of a rectangle = 2(Length + Width)
Perimeter of print area = 2(100 + 140) = 480cm
Perimeter of entire poster :
Let uniform width of blank strip = x
x on each of the 4 sides side ;
2(2x + 100 + 2x + 140)
2(4x + 240)
8x + 480
Perimeter of poster = 1 2/3 perimeter of print area
8x + 480 = 5/2(480)
8x + 480 = 1200
8x = 1200 - 480
8x = 720
x =. 720 / 8
x = 90 cm
What’s the approximate value?
Answer:
D-24.2
Step-by-step explanation:
I'm not sure though
Write
3
2
3
as an improper fraction.
Step by step
Easy multiply 3 by 3 then add 2 that should be your top answer then keep your bottom 3 as your answer
Answer 11/3
Answer:
11/3
Step-by-step explanation:
3 times 3 equal 9 plus 2 equal 11
determine whether the parallelogram is a rectangle or rhombus J(5,2), K(2,5), L(-1,2), M(2,-1)
Answer:
Rhombus
Step-by-step explanation:
A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
Answer:
the answer
Step-by-step explanation:
the answer :7
Find the value of x.
Answer:
Step-by-step explanation:
8/18=x/24
18x=192
x=10.667(correct to three decimal places)
Help me out please!!!! (Operations of Functions) Giving alot of points for this if you answer these both two correctly.
Answer:
1) 20
2) 4
Step-by-step explanation:
1)
I) Substitute t with 2:
2² + 5(2) + 6
II) Simplify/Evaluate:
2² + 5(2) + 6
4 + 10 + 6
14 + 6
20
2)
I) Setup the equation:
g(t) = 5t - 2 = 18
5t - 2 = 18
II) Solve it:
Reorder the terms:
-2 + 5t = 18
Add 2 to each side of the equation:
-2 + 2 + 5t = 18 + 2
Simplify:
0 + 5t = 18 + 2
5t = 18 + 2
5t = 20
Divide each side by 5:
t = 4
Hope I helped :)
What is the solution of the system of equations y=5.69x+25 y=9.49x+6
Given :
A system of equations y = 5.69x + 25 and y = 9.49x + 6.
To Find :
The solution of the system of equation.
Solution :
Subtracting equation 2 by 1, we get :
y - y = ( 9.49x + 6 ) - ( 5.69x + 25 )
0 = 3.8x - 19
x = 5
Putting value of x in equation 1, we get :
y = (5.69×5) + 25
y = 53.45
Therefore, the solution of the system of equations is ( 5, 53.45 ).
Janice works at the We Are Cells. She earns $650 per week plus a 15% commission on all new cell phone contracts that she sells each week. Write a linear function that represents the weekly salary.
Answer:
y=650+15x
Step-by-step explanation:
y=mx+b, b is starting amount, m is the multiplier for the x
uwu
Devon waxes 1/2 of his car with 1/3 bottle of car wax. At this rate, what fraction of the bottle will Devon use to wax his entire car?
Answer:
2/3 bottle of car wax
Step-by-step explanation:
If Devon waxes 1/2 of his car with 1/3 bottle of car wax then he only has half of his car to finish. Since 1/2 of his car used 1/3 of wax then the other half will only take 1/3 of car wax.
Hope this helps!
Linear equations: 5 +2(2x-3)+8x = -5x +2. and . 5 -2(2x-3)+8x = -5x +2
Plz show your work.
Answer:
hello,I'll edit the process and say step by step.
result= 28x-30= -70x²+73x-18 = -5x+2
Sorry, it was a little long process. I could not explain them all. I said the result directly.And I am Turkish, sorry if there is a problem with my pronunciation.But remember, you will do it according to the distribution in the parenthesis.
HELP What is one advertisment related to the outsiders?
Step-by-step explanation:
Hinton's editor, Velma Varner, advocates new names for both author and ..
Tanya wants to sew her own jean jacket. She found a sewing pattern for her size and realized she
needs 4 yards of fabric. She goes to the store and finds the denim fabric she likes, which is priced
at $7.50 per yard. She also needs to buy buttons to put on the jean jacket. She finds a pack of
buttons priced at $6.99. How much will Tanya spend at the store on her fabric and buttons?
Answer:
$36.99
Step-by-step explanation:
Fabrics per yard = $7.50
Pack of buttons = $6.99
Fabrics needed = 4 yards
How much will Tanya spend at the store on her fabric and buttons?
Total cost of fabric and button = cost of 4 yards of fabric + pack of buttons
= 4(7.50) + 6.99
= 30 + 6.99
= 36.99
Total cost of fabric and button = $36.99
write the word sentence as an equation and then solve the equation
-13 is 4 less than a number n.
for brainiest :)
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Answer:
-9=n
Step-by-step explanation:
-13=4-n
+4 to both sides to get n by its self
-13+4=9
-13-4=9
-9=n
6. Andre and Clare are discussing triangle ABC that has a right angle at C and a
hypotenuse of length 15 units. Andre thinks the triangle could have legs that are 9 and
12 units long. Clare thinks angle B could be 20 degrees and then side BC would be 14.1
units long. Do you agree with either of them? Explain or show your reasoning.
Answer:
BOTH ARE CORRECT
Step-by-step explanation:
Given that:
Triangle ABC Is right angled ;Angle ABC
Hypotenus = 15
If legs are 9 and 12 units long ;
From Pythagoras :
9² + 12² = hypotenus²
81 + 144 = 225²
2.) if:
B = 20° ; BC = will be
Using :
Cos θ = BC / 15
Cos 20 = BC / 15
BC = Cos 20 * 15
BC = 0.939692 * 15
BC = 14.09
BC = 14.1
Calculate the scale factor for the original triangle and its
larger image. Show your working out.
Answer:
2
Step-by-step explanation:
8/4=2
have a good day..
step by step please !
Answer:
Step-by-step explanation:
Since the sum of all interior angles of a triangle is 180 degrees, we are able to derive the answer of what x (m<1 in this case) measures.
For example, in number 1, you can do
m<1 = 180 - 94 - 45
For the 2nd one, the tick marks show that the highlighted angles measure the same.
So, it would be (180-58)/2 = m<1
Finally, for the third one, there is a right angle, meaning that it measures 90 degrees
Therefore, 180-90-77 = m<1
PLEASE HELPPPPPPPP....?.......
If a+b=15 and ab=54 then find
1)
[tex] {a}^{2} + {b}^{2} [/tex]
2)
[tex](a - b )^{2} [/tex]
3)
[tex]a ^{2} - {b}^{2} [/tex]
Answer:
a = 9
b = 6
I hope you can do the rest yoyrself, as I coulsnt find how to type it out ;-;
Answer:
1) 117
2) 9
3) 45 or -45
Step-by-step explanation:
a=9
b=6
1) a²+b²=9²+6²=81+36=117
2) (a-b)²=(9-6)²=3²=9
3) a²-b²=81-36=45
It’s also possible that a=6 and b=9, in which case
1) (same)
2) (same)
3) 36-81=-45
The value of the square root of 12 is between which two integers? let me know asap
Answer:
The answer to this question is 3 and 4.
What is the value of z?
=
Answer:
[tex]z=133/6[/tex]
Step-by-step explanation:
All angles in a triangle added up are equal to 180 degrees.
We can make the equation:
[tex]2z+4z+47=180\\6z+47=180\\6z=133\\z=133/6[/tex]
Answer:
Step-by-step explanation:
We have 3 angles, 2z, 4z, 42
the sum of these angles equal to 180
2z+4z+42=180
6z=180-42
6z=138
z=138/6=23
z=23
write the slope intercept form of the equation with the given slope and y-intercept.
1. Slope= -10, y- intercept = -5 2. Slope= - 9/5, y- intercept = -4
3.Slope= -5/4, y- intercept = 5 4. Slope= 7, y- intercept = 5
Answer:
1. y = -10x - 5
2. [tex]y = \frac{9}{5}x - 4[/tex]
3. [tex]y = -\frac{5}{4}x + 5[/tex]
4. y = 7x + 5
Step-by-step explanation:
use y = mx + b
m = slope
b = y-intercept
1. Slope= -10, y- intercept = -5
y = -10x - 5
2. Slope= - 9/5, y- intercept = -4
[tex]y = \frac{9}{5}x - 4[/tex]
3. Slope= -5/4, y- intercept = 5
[tex]y = -\frac{5}{4}x + 5[/tex]
4. Slope= 7, y- intercept = 5
y = 7x + 5
If a triangle ABC is classified as a right triangle, which statement is true?
Answer:
Two slopes of triangle ABC are opposite reciprocals
Step-by-step explanation:
Hope This Helps!!!
Brainliest PLZ???
Answer:
Two slopes of triangle ABC are opposite reciprocals
Step-by-step explanation:
took the test
Rita paid $82 for 5 trees and 1 shrub. Lilly bought 2 trees and 1 shrub for $37. Find the cost per tree and the cost per shrub.
Answer:
trees cost $15
Shrub cost $7
Step-by-step explanation:
Given data
Rita paid $82 for 5 trees and 1 shrub
5x+y= 82---------1
Lilly bought 2 trees and 1 shrub for $37
2x+y= 37----------2
from 1
y= 82-5x
put the value of y in 2
2x+82-5x= 37
2x-5x= 37-82
-3x=-45
x= 45/3
x=$15
put the value of x in 1
5(x)+y= 82
5*15+y=82
75+y=82
y=82-75
y=$7
Hence, trees cost $15
Shrub cost $7
Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original number
Answer:
23.3 is the answer to this question