Consider the equations shown: ax + by = ab & 2ax + 3by = 3b
Which of these is the value of y in terms of a?
Option 1 : y = 3a – 35
Option 2 : y = 2ab – 3b
Option 3 : y = 9a – 35
Option 4: y = 3 – 2a
Answer: [tex]y=3-2a[/tex], Option 4
Step-by-step explanation:
[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]
multiply 2 at [tex]ax+by=ab[/tex]
[tex]2ax+2by=2ab[/tex]
subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]
[tex]by=3b-2ab[/tex]
[tex]y=3-2a[/tex]
How can 38 over 6 be expressed as a decimal?
Answer:
6.3 repeating
Step-by-step explanation:
How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions
Answer:
C. Infinitely many solutions
Step-by-step explanation:
Answer:
INFINITE SOLUTIONS
Step-by-step :(examples)
any value of x makes the equation true
true for all= infinite solutions
one solution= x=30
no solution= 7=0
Shawn is typing a paper for class he can type 1 7/11 pages in 1/3 of an hour how many pages can he read in one hour
Answer:
Step-by-step explanation:
1/3 of an hour is 1/3 × 60 minutes = 20 minutes.
no of pages for 1 hour = 3 × 18/11
54
---- = 4 9
------
11 11
hope this help :P
Please HELP D: what are the Angels of A,B,C,D
Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4
Answer:
Point form: (4, 4)
x = 4, y = 4
Plzz help its only 1 question!!!
Answer:
D is correct
rost beef sandwich=7$
turkey sandwich=5$
Step-by-step explanation:
Samantha had a mask collection. She keeps 372 of the masks on her wall, which is 93% of her entire collection. What is the total number of masks in Samantha's collection?
Answer:
im struggling as well
Step-by-step explanation:
PLZ HELP FIFTY POINTS FOR WHOEVER HELPS I NEED THIS ASAP
Answer:
x = 18
y = 54
Step-by-step explanation:
A straight line equals 180 degrees.
Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.
Because there is a right angle, we can subtract 90 -72 = 18.
18 + 2x = 3x
18 = x
A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!
BD bisects m m Find m
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
[tex]m\angle ABC = 77.2^\circ[/tex]
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
[tex]m\angle ABD=m\angle CBD[/tex]
Substituting the algebraic expressions for both angles:
[tex]2.5x + 8.6=3.5x - 3.4[/tex]
Subtracting 8.6 and 3.5x:
[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]
Operating:
[tex]-x = -12[/tex]
[tex]x = 12[/tex]
The two angles are:
[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]
[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]
[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]
I am trying to find the area of my master bedroom. The measurements are 4x-3(L) 6x-6(W).
the answer keeps coming out to be Zero. And you have to have measurements for the room, so that doesn't make sense.
Substitute x as 4.
Answer:
L= -12
W= -36
Step-by-step explanation:
-12 x -36 = 432
so the area of your master bedroom is 432.
Consider quadrilateral EFGH.
The slope of EF is .
Which statements are true? Check all that apply.
EH is parallel to FG.
EF is perpendicular to EH.
HG is neither parallel nor perpendicular to FG.
Quadrilateral EFGH is a rectangle because it is a parallelogram with four right angles.
Quadrilateral EFGH is a trapezoid because it has exactly one pair of parallel opposite sides.
(B) EF is perpendicular to EH.
Quadrilateral:A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices). The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle. Display style "square ABCD" is sometimes used to indicate a quadrilateral with the vertices A, B, C, and D.Therefore, the correct option is (B) EF is perpendicular to EH.
Know more about quadrilaterals here:
https://brainly.com/question/16691874
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Answer:
B and C
Step-by-step explanation:
Is the domain of the function represented by the data shown in the graph discrete or continuous?
9514 1404 393
Answer:
continuousdistance traveled by walkingStep-by-step explanation:
You can draw the graph without lifting your pencil, so it is "continuous."
Rows, drinks, and books are all things that are counted. That is, their number takes on discrete values.
Time, on the other hand, is continuous--able to take on any value.
The graph best models distance as a function of time.
I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.
Answer:
39.19
Step-by-step explanation:
sin(29°)=(19/x)
x= 19/sin(29°)
/= over
i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse
expand this question
(a+3)(a+5)
Answer:
Work shown below!
Step-by-step explanation:
(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]
83x - 6) = 6(4x + 8)
Answer:
[tex]x = \frac{54}{59}[/tex]
Step-by-step explanation:
I'm assuming you meant (83x - 6). Either way, the parentheses aren't needed there as there aren't any numbers outside of the parentheses on that side of the equation.
So:
Remember PEMDAS
P – Parentheses
E – Exponents
M – Multiplication /D – Division (whichever comes first from left to right)
A – Addition /S – Subtraction (whichever comes first from left to right)
Nothing needs to be distributed on the left side, so let's distribute the right side.
6(4x + 8)
6 * 4x = 24x
6 * 8 = 48
Now we have 24x + 48
83x - 6 = 24x + 48
Now, we must isolate the x so that in the end, we can get x =
83x - 6 = 24x + 48
+ 6 +6
83x = 24x + 54
-24x -24x
59x = 54
Now, we have isolated the x! Finally, we want x to = 1 so that it will be x = instead of 59x =.
[tex]\frac{59x}{59} = \frac{54}{59}[/tex]
Because 54/59 does not divide into a rational number or simplify any further, we can keep it as a fraction.
[tex]x = \frac{54}{59}[/tex]
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Ally ran 5 miles in 36 minutes. If Ally runs at the same rate, how long would it take her to run 1 mile?
Answer:
7.2 Minutes
Step-by-step explanation:
Use Ratios
Miles : Minutes
5:36
Divide Both Sides By 5
1:7.2
It will Take Ally 7.2 Minutes To Run 1 Mile
Please help! what does the quotient of x and three increased by thirty-four look like as a problem? and why?
will name the brainliest!!
Answer:
x/3 + 34
Step-by-step explanation:
The quotient of x and 3 would be written as x/3.
(I am guessing that increased means add, because multiplied would say times, by, or multiplied.)
can someone help me please!!
Answer:
Step-by-step explanation:
∠2, ∠3, and ∠4
Answer:
5, 6, 1
Step-by-step explanation:
Interior mean on the inside
1/3 (x-10)=-4 what does x represent
Answer:
-2
Step-by-step explanation:
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Step 1: Multiply both sides of the equation by 3.
Step 2: Simplify both sides of the equation.
Step 3: Move all terms not containing x to the right side of the equation.
solve for z: -4 - (z - 6) = 12
Answer:
z = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-4 - (z - 6) = 12
Step 2: Solve for z
Distribute negative: -4 - z + 6 = 12Combine like terms: -z + 2 = 12Subtract 2 on both sides: -z = 10Divide -1 on both sides: z = -10Step 3: Check
Plug in z to verify it's a solution.
Substitute: -4 - (-10 - 6) = 12Subtract: -4 - (-16) = 12Simplify: -4 + 16 = 12Add: 12 = 12Here we see that 12 does indeed equal 12.
∴ z = -10 is a solution of the equation.
Answer:
z = -10
Step-by-step explanation:
-4 -(z+6)=12
2-z=12
-z =12-2
ans= z = -10
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
-3 (4b - 10) = 114
What does b equal?
Answer:
b = -9.5
Step-by-step explanation:
-3 (4b - 10) = 144
-12b + 30 = 144
-30 -30
-12b = 114
/-12 /-12
b = -9.5
Hope this helps!
Determine the area of the figure, in square meters. HELP ME PLAES BRIANEST ASAP PLEASE HAVE A EXPLIATION
Answer:
100 sq m
Step-by-step explanation:
if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m
then the little piece on the left that is taken out is 2 x 2 = 4 sq m
the piece on the right is 6 x 12 = 72 sq m
so subtract them from the big rectangle
176 - 4 - 72 = 100 sq m
Answer:
100m^2
Step-by-step explanation:
To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.
Area= base•height
So for the purple shape:
6•2=12
Orange:
8•8=64
Green:
2•12=24
In total:
12+64+24=100
And since it's area it would be in square units which just means it'd look like this:
[tex] {100m}^{2} [/tex]
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Carlos is packing bags for treats at a party. Every bag has exactly the same amount of treats in it. Carlos has 25 granola bars and 35 small popcorn balls. What is the greatest number of treat bags Carlos can make?
Answer:
5 bags
Step-by-step explanation:
Given
[tex]Granola\ Bars = 25[/tex]
[tex]Popcorn\ Balls = 35[/tex]
Required
Determine the greatest number of bags
This question illustrates greatest common factor (GCF).
The number of bags will be solved by getting the GCF of 25 and 35.
This is shown below:
[tex]25 = 1 * 5 * 5[/tex]
[tex]35 = 1 * 5 * 7[/tex]
[tex]GCF = 1 * 5[/tex]
[tex]GCF = 5[/tex]
Hence, Carlos will need 5 bags
Darnell is underwater 20 feet below sea level. His friend is on a hill 32 feet above sea level. How far apart are the two friends?
Answer:
52 feet apart
Step-by-step explanation:
20 + 32 = 52
Answer:
52 feet
Step-by-step explanation:
20 + 32 = 52
Mary ran 2 miles in 23 minutes how long will it take her to run 15 miles
Which of the following are right triangle congruence theorems
Answer:
All of them
Step-by-step explanation:
What is the solution set for 9x^2-25=0?
Answer:
A
Step-by-step explanation:
9x^2-25=0
x= 5/3 and -5/3
By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]
What is quadratic equation ?Any equation that can be written in form as [tex]ax^{2}+bx+c=0[/tex] , where x is variable and a, b and c are any real numbers and a ≠ 0 is called quadratic equation .
given quadratic equation :
[tex]9x^2-25=0\\\\[/tex]
Adding 25 both sides
[tex]9x^2-25+25=0+25\\\\\Rightarrow 9x^2=25[/tex]
Dividing by 9 on both sides
[tex]\frac{9x^2}{9}=\frac{25}{9}\\\\x^2= \frac{25}{9}[/tex]
Taking square root both sides
[tex]x= \pm \sqrt(\frac{25}{9})[/tex]
[tex]x= \pm \frac{5}{4}[/tex]
[tex]x= \{\frac{-5}{4}, \frac{5}{4} \}[/tex]
By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]
To learn more about quadratic equation visit :https://brainly.com/question/1214333
The graph shows the distance Henry drives on a trip. What is Henry's speed?
A. 60 miles per hour
OB. 30 miles per hour
O C. 40 miles per hour
OD. 70 miles per hour
Answer:
60
Step-by-step explanation:
every 1 hour, he is going 60 miles