Answer:
x = 6, y = -113
Step-by-step explanation:
10x - y = 53 --- Equation 1
y = [tex]\frac{-13x+92}{2}[/tex] --- Equation 2
I will be using the substitution method.
Substitute y = [tex]\frac{-13x+92}{2}[/tex] into Equation 1:
10x - y = 53
10x - ([tex]\frac{-13x+92}{2}[/tex]) = 53
I want to make the denominators on the left side of the equation the same, so I will multiply 10x by 2 so that I can get a fraction.
[tex]\frac{20x}{2}[/tex] - ([tex]\frac{-13x+92}{2}[/tex]) = 53
Now that their denominators are both 2, I can combine the numerators under the same denominator.
[tex]\frac{20x-(-13x+92)}{2}[/tex] = 53
Two minuses, one outside a bracket and one inside makes a plus. One plus and one minus make a minus.
[tex]\frac{20x+13x-92}{2}[/tex] = 53
Evaluate like terms.
[tex]\frac{33x-92}{2}[/tex] = 53
Shift the (÷2) over to the right side and turn into (×2).
33x - 92 = 53 × 2
= 106
Shift the (-92) over to the right side and turn into (+92).
33x = 106 + 92
= 198
Find x.
x = 198 ÷ 33
x = 6
Substitute x = 6 into Equation 1:
10x - y = 53
10(-6) - y = 53
Evaluate.
-60 - y = 53
Shift the (-60) over to the right side and turn into (+60).
-y = 53 + 60
= 113
Find y.
y = -113
Isabella deposited $2,000 in an account that pays 5% simple annual interest. After one year, how much interest in dollars and cents will her investment have paid? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$100
Step-by-step explanation:
Simple Interest formula is given as:
A = P(1 + rt)
Where
A = Amount after t years
P = Principal = Initial Amount Invested = $2000
r = Interest rate in t years = 5%
t = time = 1 year
A = 2000(1 + (0.05 × 1)) = 2100
A = $2,100.00
The Amount after 1 year = $2100.00
The Simple Interest is calculated as
= A - P
= $2100 - $2000
= $100
Therefore, after 1 year her investment would have paid $100
Is the point (10,-2) a solution to the equation y = -2x + 16? Explain,
??? pls answer
Answer:
no
Step-by-step explanation:
y = -2x + 16
-2 = -2(10) + 16
-2 = -20 + 16
-2 = -4
which is wrong
Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.
y = -2x + 16 > -2 = -2(10) + 16
Now, solve.
-2 = -2(10) + 16 > -2 = -20 + 16 - Start by multiplying out parenthesis.
-2 = -20 + 16 > -2 = -4 - Add.
-2 = -4
The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.
Give the slope of any line that is perpendicular to the line y = -1/8 x + 5
Answer:
8
Step-by-step explanation:
To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope. In this case we are already given the slope as the coefficient to x: -1/8. The negative reciprocal of that is 8/1, or just 8.
WILL GET BRAILIEST FOR CORRECT ANSWER
if x^2=20, what is the value of x?
a. +_ sqrt 10
b. +_sqrt 20
c. +_ 10
d. +_40
(the +_ is that weird symbol that has the plus sign on top of the underscore, i forget what its called)
Answer:
x = ± [tex]\sqrt{20}[/tex]
Step-by-step explanation:
Given
x² = 20 ( take the square root of both sides )
x = ± [tex]\sqrt{20}[/tex]
which can be simplified to
x = ± 2[tex]\sqrt{5}[/tex]
[ ± means plus or minus ]
11 + 16 + 4 = ????????????
Answer:
31! :D
Step-by-step explanation:
(My discord: TheDiamondDuck #9036)
If you want to join you can,
Good luck!!
God Bless!!
~DuffyDuck~
Need help ASAP pls will give brainliest pls need answer fast
Answer: C
Step-by-step explanation: all other statements are true because of CPCTC theorem. Therefore, we can conclude that C is the correct answer
Answer:
C
Step-by-step explanation:
I need help please!!!!!!!
Rex deposited $1,000 into an account that earns 4% compound interest, compounded annually.How much interest will Rex earn after 10 years?
Answer:
km
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist
Answer:
39°
Step-by-step explanation:
The equation is
3h+72+8h+95=90
11h+167=90
11h=-77
h=-7
So RGK=
8.-7+95
-56+95
39
is someone willing to help me with my math homework? i really don’t understand :/
3/20 as a percent????
Answer:
15%Step-by-step explanation:
Percent is 1/100
3/20 = 15/100 = 15 * 1/100 = 15%Answer:15%
Step-by-step explanation:
h e l p m e p l e a s e
Answer:
(x-4) is the common factor
Step-by-step explanation:
Answer:
x-4
Step-by-step explanation:
Find the range of the graphed function.
a. 0 ≤y ≤10
b. y ≥0
c. y is all real numbers.
d.-9 ≤y ≤5
9514 1404 393
Answer:
d. -9 ≤ y ≤ 5
Step-by-step explanation:
The range is the vertical extent of the graph. This graph goes from a low of -9 to a high of +5. Then the range is ...
-9 ≤ y ≤ 5
Malcolm has 225 yards of yarn to make 100 bracelets. Suppose the total length of the yarn stayed the same, but instead of Malcolm making 100 bracelets, he only made 1,000 bracelets. How long will the yarn be for each bracelet
Given :
Length of yarn, l = 225 yards.
Number of bracelets he made, n = 1000 .
To Find :
How long will the yarn be for each bracelet.
Solution :
Let, length of yarn used in each bracelet is x.
So,
[tex]x = \dfrac{Total\ length \ of yarn}{Number \ of \ bracelets\ made}\\\\x = \dfrac{225}{1000}\\\\x = 0.225 \ yards[/tex]
Therefore, length of yarn used in each bracelet is 0.225 yard.
Which is the complete factorization of this expression?
-24x + 64
Answer:
−8(3x − 8). thats the answer, im doing the USA testprep too
Find the missing part.
I = 8, w = 4, h = 2
Find the diagonal (d) of the base.
Click and look at the picture fully fill in the purple box
Answer:
The Diagonal is 4√5
the question is on the sheet.
Which has a greater magnitude: 11 feet below sea level or 17 feet below sea level ?
Answer:
Your answer would be 17 feet! :)
Step-by-step explanation:
I did the research for you
The perimeter of a triangle is 108ft. The sides lengths are in a ratio of 2:3:7. How long is the shortest side?
Answer:
18ft
Step-by-step explanation:
2+3+7 = 12 (this means that 108ft is [tex]\frac{12}{12}[/tex])
The shortest side would be [tex]\frac{2}{12}, or \frac{1}{6}[/tex] of 108ft
To find this, we divide 108 by the denominator (6) to get 18ft
We would usually multiply this by the numerator when finding a fraction of an amount, but as the numerator is 1, the answer would stay as 18ft.
can someone please help me answer this? i will mark you brainliest!!! i really need help plss
Answer:
3.5
Step-by-step explanation:
If you get more like this just divide the big triangle to the small one. on the same lengths. Example: on this one do 14/4 = 3.5, 10.5/3 = 3.5, 21/6 = 3.5
Hope this helps! :)
36 - (-4) + 5+ (-10) =
Answer:
=35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
remove parentheses, then solve
36 - (-4) + 5+ (-10) =
36 + 4 + 5 -10 // -(- turns into a plus. +(- stays the same, 10 remains negative.
35
hope this helps
HELP PLEASEEE!!!People develop their personal values through_
experiences.
find UT.
- 42.5
- 16.25
- 21.25
- 32.5
Answer:
32.5
Step-by-step explanation:
Hope this helps:)
) Tina planted 75 plants. N plants did not grow leaving her with 48 plants. Which equation expresses how many plants Tina lost?
Answer:
Step-by-step explanation: I think this is the answer
Tina planted 75 plants and only 48 grow
To know how much is lost we subtract 75 from 48 which gives us 27
75-48=27
Linear equation:- (6x+ 10) = 13
Step 1: -3–5= 13
Step 2:-3r= 18
Step 3: x=-6
Which sequence describes the inverse operations used
for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the
O the addition property of equality and then the
O the sutbtraction property of equality and then the
O the subtraction propety of equality and then the
division property of equality
multiplication property of equality
division property of equality
multiplication property of equality
Answer:
A: the addition property of equality and then the division property of equality
Step-by-step explanation:
i need this ASAP!!!
please helppppp
Answer:
EASY
Step-by-step explanation:
the answer is ..........................................................................
2
Drugs+Kids=..................
Very tough question guys
Answer:
= desaster
Step-by-step explanation:
WILL GET BRAINLIST
5x+106=7x-10
Answer:
The answer is 0. hope it helps
Step-by-step explanation:
Answer:
x=58
Step-by-step explanation:
5x+106=7x-10
-2x = -116
x = 58
What is the answer i need help?
When you have no clue what you’re doing
Answer:
25y^2 -20iy + 4i^2
Step-by-step explanation:
Theres an acronymn called Foil (first, ouside, inside, last) for expanding an expression like that
For this expression:
= (5y - 2i) (5y - 2i)
= 25y^2 - 10iy - 10iy + 4i^2
= 25y^2 -20iy + 4i^2
This is assuming that "i" is not the imaginary number "i"
Can someone please help with this.
Answer:
92
Step-by-step explanation:
Sum of 2 interior angles= exterior angle so
148=56+h
h= 148-56