Answer:
(-5, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x - 3y = -20
-x - 8y = 5
Step 2: Rewrite Systems
-x - 8y = 5
[Addition Property of Equality] Add 8y on both sides: -x = 8y + 5[Division Property of Equality] Divide -1 on both sides: x = -8y - 5Step 3: Redefine Systems
4x - 3y = -20
x = -8y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-8y - 5) - 3y = -20[Distributive Property] Distribute 4: -32y - 20 - 3y = -20Combine like terms: -35y - 20 = -20[Addition Property of Equality] Add 20 on both sides: -35y = 0[Division Property of Equality] Divide -35 on both sides: y = 0Step 5: Solve for x
Define original equation: -x - 8y = 5Substitute in y: -x - 8(0) = 5Multiply: -x = 5[Division Property of Equality] Divide -1 on both sides: x = -5Answer:
x = -5
y = 0
Step-by-step explanation:
4x-3y=-20
-x-8y=5 then x = 8y-5
substitute for x
4(8y-5)-3y = -20
32y-20-3y = -20
29y = 0
y = 0
4x-0 = -20
x = -5
Arithmetic sequence
Answer:18
Step-by-step explanation:
Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.
Taking a look at the examples again,
Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1
Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3
Rename The following decimal form into fraction form. 1)0.75 2)0.35 3)0.24
Answer:
1) 3/4
2) 7/20
3) 6/25
Step-by-step explanation:
1) 0.75
= 75/100
= 3/4
2) 0.35
= 35/100
= 7/20
3) 0.24
= 24/100
= 6/25
Hope it helps!
Please answer this I need helllp
Answer:
Equation: y = 2x
Graph: see attachment
Step-by-step explanation:
Pieces of paper = x
Number of Valentines = y
The equation is a proportional equation and can be represented as y = kx
k is the constant of proportionality
k = y/x
Using (2, 4),
k = 4/2 = 2
To find the equation, substitute k = 2 into y = kx
Thus:
y = 2x
The graph has been plotted and attached below.
A disc has a radius of 31 cm. What is the circumference of
the disc, rounded to the nearest whole number? (Convert the
fraction to a decimal)
A.38 cm.
B.154 cm
C.22 cm
D.11 cm
Answer:
22 cm
Step-by-step explanation:
radius is 3 1/2 cm, which is 3.5 in decimal form
the circumference comes out to be 21.99, which is rounded to 22.
charlotte has 3 yards of fabric she needs to cut the fabric into 7 equal peices. how many yards long should each peice of fabric be?
Answer:21
Step-by-step explanation:
the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age
Answer:
A+S=22
A=S/2+4
Multiply second equation by 2 and rearrange.
2A-S=8
Add equations 1 and 3.
3A=30
A=10
Substitute for A in either of the first 2 equations to get
S=12
Step-by-step explanation:
4. There are 9x - 7 customers in a store on Monday and 5x + 15 customers on Tuesday. What is the total number of customers for the two days? *
Answer:
14x +8
Step-by-step explanation:
9x -7 + 5x +15
9x +5x -7 +15
Is -6/3 a whole,integer,or rational
Answer:
-6/3 is a rational
Step-by-step explanation:
its a rational because it expresses as the ratio of two integers.
UM PLEASE HURRY FOR ANSWERING THIS!!!
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 15 cm
Answer:
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Hope this helps!
Answer:
I believe it's Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°. I'm not so sure sorry if it's incorrect
Step-by-step explanation:
How can we get system B for system A?
And
Are the systems equivalent?
Answer: Subtract the equations in system A.
=============================================================
Explanation:
The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.
There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.
For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y
So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.
Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.
Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.
What is the value of the expression 4 × (2a − 1) if a = 3?
A16
B20
C23
D25
solucion plis 4x- 2x > -8 -6
The answer is,
[tex]x > - 7[/tex]
hope it helps.
Answer:
x>-7
Step-by-step explanation:
4x-2x>-8-6
-2x>-14
x>-7
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her
hours reduced by 10%.
How much more will she be earning per hour at her new job?
Answer:
Step-by-step explanation:
current rate = $729/(45 hours) = $16.20/hour
increased salary = 1.10×$729 = $801.90
decreased hours = 0.90×45 = 40.5
increased rate = $801.90/(40.5 hours) = $19.80/hour
increase in rate = $19.80/hour - $16.20/hour = $3.60/hour
A line has a slope of 2 and passes through the point -7,-10 What is its equation in point-slope form
I don't know the answer
how many triangles can be constucted measuring 60°, 60°, and 40°
Answer:
None, the sum of those angles does not equal 180 degrees
Answer:
none of the traingle can be constructedThe answer of this question is none. The sum of these three angles is 160°. So, none of the triangles can be constructed with angles measuring 60°, 60° and 40°
60°+60°+40°=160°The sum of three angles is 160°
so, none of the traingle can be constructed with angles measuring 60°,60°and 40°.
Step-by-step explanation:
Hope it is helpful....
A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+3t^0.4, where t is the time in seconds and S(t) is the distance in feet from the top of the building.
Answer:)
Step-by-step explanation:
if £1 = 0.864 Lt, work out the amount, to the nearest penny , that 1 Lt is worth
Answer:
[tex]1\ Lt = \pounds 1.157[/tex]
Step-by-step explanation:
Given
[tex]\pounds 1 = 0.864\ Lt[/tex]
Required
Determine the worth of 1 Lt
[tex]\pounds 1 = 0.864\ Lt[/tex]
Divide both sides by 0.864
[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]
[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]
[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]
[tex]1\ Lt = \pounds 1.157[/tex] -- approximated
4.5 = 1.5x
4.5 ÷ ___ = 1.5x ÷ ___
___ = x
Answer:
The value of x is 3.
Step-by-step explanation:
The steps are :
4.5 = 1.5x
4.5 ÷ 1.5 = 1.5x ÷ 1.5
3 = x
the store offers a 20% discount, The t- shirt is $18 and the discounted price is $3.60 ?
If the regular price for an item is x dollars, what is the discounted price? (Hint: write an expression)
Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.
IF KOBE HAD 8 DUNKS AND LEBRON HAD 10, HOW MANY MORE DUNKS DID LEBRON HAVE THEN KOBE?
Answer:
2
Step-by-step explanation:
10-8
Answer:
Step-by-step explanation:
2
[tex]4 - 4[/tex]
[tex]7 \times 9[/tex]
can someone help me ?
Answer:
What question are you referring to? a question references question 5 and 6 which aren't displayed.
i to the power of 121 is equal to what
Answer:
1
Step-by-step explanation:
Hope this helps and have a great day!!!!!
Find the missing side of the triangle. Round your answer to the nearest tenth if
necessary.
9.7
4.9
X
Answer:
10.9
Step-by-step explanation:
adding there squres you get 118.1 taking the squareroot of that you get 10.9
PLZ HELP ME THIS IS 7TH GRADE MATH I NEED HELP ASAP
Answer:
8 is 73 corresponding and 9 is 107 supplementary
Step-by-step explanation:
A)
450 mm2
B)
67,500 mm2
C)
600 mm2
D)
150 mm2
Answer:
im pretty sure its c
Step-by-step explanation:
find the maximum and minimum values of the function y=1/2 sin2x
Answer:
Maximum value equals 1/2
Minimum value equals -1/2
Step-by-step explanation:
The Sin Function when Graphed Shows a Range of [-1 , 1]
apply that on y=1/2 sin2x
y = 1/2 * 1 = 1
y = 1/2 * -1 = -1
so y = 1/2 , -1/2 .
Another Method using 1st derivativedy/dx = 2 * 1/2 * cos2x
put dy/dx=0
cos2x=0
x= 45, x=135
Apply x values on y=1/2 sin2x
y = 1/2 , -1/2 .
Hope you understand it ^^.
Answer: A
Step-by-step explanation:
There were two partners Fred and jack Fred can paint 3 paintings per hour, and jack can paint 2 paintings per hour Fred has already painted 9 paintings and Jack has completed 10 paintings they took a break when they finished the same total number of paintings how many paintings did they each make in total? How long will it take each painter?
Answer:
bbbdbrhrhfhdbfhfhchchfhffh
ginny brought 2.2 pounds of banana at a cost of 0.49 per pound + 1.3 pounds of grapes at a cost of 1.29 per pound what was the total cost of the bananas and grapes Ginny purchase
Answer:
IP 2.2 pounds of a banana at the cost of a foreign body 120 pounds of graphs are at the cost of a point on the total cost of the
Select the correct answer from each drop-down menu. Complete each sentence about types of photography. photography involves capturing the subject of your photograph in motion, whereas photographing Inanimate objects. > photography involves
Answer:
1. whale 2. crowded boat
Step-by-step explanation:
on edge
Answer:
1. whale 2. crowded boat yw
Step-by-step explanation: