Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
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1/6=n+7/9 what does n equal
Answer:
n=-11/18
Step-by-step explanation:
1/6=n+7/9
Change the sign and move the variable to the left hand side
-n+1/6=7/9
Change its sign and move constant to the right hand side
-n=7/9-1/6
Subtract the fractions
-n=11/18
Change the sign on both sides
n=-11/18
3 (t + 4) = 25.5
t= ??
Answer:
t = 4.5
Step-by-step explanation:
Distribute 3 to the parentheses:
3(t + 4) = 25.5
3t + 12 = 25.5
Subtract 12 from both sides:
3t = 13.5
t = 4.5
So, the answer is t = 4.5
I need help and the step to find
Answer: The answer is 169.
Step-by-step explanation:
Hope this helps! Have a good day! :)
help me please. Translate the description below as an algebraic expression:
half the quotient of p and 11
Answer:
try this
Step-by-step explanation:
1/2 (p/11)
slash is the dividing sign
Answer:
( p ÷ 11) ÷ 2
Or
1/2 (p ÷ 11)
Step-by-step explanation:
Half the quotient of p and 11
"the quotient of p and 11" signifies that you have to divide p by 11. And "half the.." signifies that you have to divide the quotient of p/11 in half
140 with the power of 1/8 in radical form
Answer:
The answer is 8√140.5
Step-by-step explanation:
Pls help. I don't understand.
Answer:
112
Step-by-step explanation:
I took the same test
Answer:
area of trapezium = a+b ×h (a+b = base +base )
2
38+18÷2×16
37×16
=592cmWhich rule describes why these triangles are congruent?
Answer:
Angle-Side-Angle Postulate
Step-by-step explanation:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent
a caterer charges a flat delivery fee and cost per sandwich ordered.the expression 5-+4.75x represent the equation.
Answer:
of a slope on a graph? if so I have the solution
Step-by-step explanation:
1
Note: Figure is not drawn to scale.
If h = 9 units and r = 6 units, then what is the volume of the cone shown above?
OA. 162 cubic units
ОВ.
1087 cubic units
C. 81 cubic units
OD. 324 cubic units
Reset
Submit
0 of 15 Answered
Session Timer: 0:25
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I
O Type here to search
Answer:
108π
Step-by-step explanation:
1/3 × 9 × π × (6²)
1/3 × 9π6²
(1 × 9π6²) / 3
(6² × 9π) / 3
6² × 3π
36 × 3π
108π
1. A cylinder and its dimensions are shown in the diagram. What is the
lateral surface area of the cylinder in square inches? Round to the
nearest hundredths. (TYPE YOUR ANSWER AS A NUMBER ONLY)
18 in
27 in
Answer:I’ll ask my my teacher
Step-by-step explanation:
Answer:
1123
Step-by-step explanation:
32 vfesjv sfv bs nvsn fv
Danny has at least $15 more than his big brother. Danny's brother has 72. How much money does Danny have?
Answer:
at least 87
[tex] \geqslant 87[/tex]
Step-by-step explanation:
danny has at least $15 more than his brother and his brother has $72 that means Danny has at least 15 + 72(his brothers money) it can be 87 or more than 87
Danny's money is
[tex] \geqslant 87[/tex]
Plzzzz brainlest I swear
Answer: 8
Step-by-step explanation: on the left chain, there are 5 4’s, so 4 times 5 is 20 Because you know that, subtract it from 60 to only have the W’s values. So 60-20 is 40 and because there is 5 w’s do 40/5 is 8. Therefore, the value of the w’s is 8 and the value of the 4’s is 20
Answer:
1024.
Step-by-step explanation:
4x4x4x4x4= 1024
I hope this is correct and I hope this helps. My apologies if it´s wrong.
Write an
explicit formula for
an,
the nth
term of the sequence 39, 41, 43, ....
Answer:
2n + 37.
Step-by-step explanation:
an = a1 + d(n - 1)
Here a1 = 39 and d = 2
an = 39 + 2(n - 1)
= 39 + 2n - 2
= 2n + 37.
(3x + 4)3
How is this written in expanded form?
Answer:
(3x + 4)3
By using distributary property,
(3x × 3) + (3 × 4)
9x+12
HELP DUE IN 10 MINS! Determine whether the triangle described is right, obtuse, or acute. Show work to justify your answer.
20, 21, 29
This triangle is a obtuse, acute, or right triangle, because blank is ,=, <, >, to blank?
Answer:
Right triangleStep-by-step explanation:
Given 3 side lengths of a triangle.
Let's test if this is right triangle by using Pythagorean theorem:
20² + 21² = 29²400 + 441 = 841841 = 841Yes, the triangle is right
There is a line that includes the point (7,10) and has a slope of 5. What is its equation in point-slope form?
Answer:
[tex]y-10=5(x-7)[/tex]
Step-by-step explanation:
Point slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and the given point is [tex](x_1,y_1)[/tex]
Plug in the slope
[tex]y-y_1=5(x-x_1)[/tex]
Plug in the point (7,10)
[tex]y-10=5(x-7)[/tex]
I hope this helps!
Find the equation of the line shown
Answer:
x+1
Step-by-step explanation:
DUE IN 5 MINUTES HELP
Answer:
If its asking to translate by (-5,3) then the answer is the following.
A'(-2, 3)
B'(-1, 1)
C'(-4, 0)
Please help!!
"simplify the expression
write your answer using a positive exponent"
(3/7)^-6 x (3/7)^-1%(3/7)^-3
Answer:
2067.62052882
Step-by-step explanation:
Do you need to round? let me know :)
simplify the expression 3(j+2)-2
Answer: (3j + 6) or 3j + 4
Step-by-step explanation:
You distribute the 3 inside the parentheses and you could subtract the 2
Step-by-step explanation:
I hope this helps. 3j+6-2= 3j+4
albert announces to his mother, he is hungry and asks what is there to eat? she responds, go look in the refrigerator. which factor has the greatest influence on albert's food choice?
Answer:
Availability
Step-by-step explanation:
I'm confused. Can someone help and also lmk how to work it out? :)
Answer:
£5
Step-by-step explanation:
5 boxes will cose 5 x 15.40 = 77 normally.
according to the table, he will get 6.5% discount.
6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5
Answer:
he orders 5 boxes of paperclips, that comes around to 77 dollars. That means he will get a 6.5 percent discount. So you would multiply 77 by .065 and you would get 5.005. You would take that number and subtract it by 77 and would get 71.995 and you can round that up to 72 dollars. My guess is that either 72 or 5.005 is the answer as 72 dollars is the price after the discount and 5.005 is how much he is saving
Step-by-step explanation:
A student is solving the equation
4
(
x
−
5
)
=
−
6
x
−
7
+
2
. Which describes a first step the student could use to solve the equation correctly?
Answer:
4(x−5)=−6x−7+2
first step open bracket and add or subtract no.
4x-20=-6x-5
put common in each side
4x+6x=-5+20
10x=15
x=15/10=3/2
first one is your answer
A triangle has a side lengths of 34in., 28in., and 42in. is the triangle an acute, right, or obtuse?
2. R(1, 1), 5(1,7), Т(5,7), U(5, 1); k =
45
у
о
Help
Yoo Helpppp meee outt
Answer:
I going to go with B $2378.30
Answer:
I going to go with B $2378.30
Step-by-step explanation:
8. You throw a ball downward 40 feet per second from a building
that is 256 feet above the ground. How long will it take
the ball to hit the ground?
Answer:
6.16?
Step-by-step explanation:
Not completely sure but if you divide 256 by 40 you get six remainder 16 not sure if I did it right so sorry if I am wrong
An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months. Money is 9% compounded monthly. Which is lower, the cash price or the present value of the installment terms? Explain.
Answer:
Cash price
Step-by-step explanation:
The computation is shown below:
The Interest rate per month (r) = (9% ÷ 12) = 0.75%
Now Present value of the monthly payment is
= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}
= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}
= 18,748.89
And the cash price is 15,999
So, the cash price would be lower
The cash price would be lower. A further explanation is below.
According to the question,
Interest rate per month,
[tex]r = \frac{9 \ percent}{12}[/tex]
[tex]= 0.75[/tex] (%)
hence,
The Present value of the monthly payment will be:
= [tex]PMT\times \frac{{(1 + Interest \ rate)^{number \ of \ years} - 1}}{Interest \ rate}[/tex]
= [tex]1499\times \frac{[(1 + 0.75 \ percent)^{12} - 1] }{0.75 \ percent}[/tex]
= [tex]18748.89[/tex]
As we can see that the cash price is 15,999. Thus the above answer is right.
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https://brainly.com/question/4187682
Giving brainlest and 20 points
What is the surface area of the solid?
A.
46 square inches
B.
15 square inches
C.
40 square inches
D.
23 square inches
Answer:
C. 40 square inches but i could be wrong
The sum of half a number, n, and 15 is 24. What is the value of the number n? Type your answer in the blank below.
1/2 n + 15 = 24