Answer:
[tex]x=-6,\\y=6[/tex]
Step-by-step explanation:
Rewrite the system of equations as:
[tex]\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}[/tex]
Subtract the second equation from the first to isolate [tex]x[/tex]:
[tex]-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}[/tex]
Plug in [tex]x=-6[/tex] into any of the equations above and solve for [tex]y[/tex]:
[tex]-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}[/tex]
Verify that the solution pair [tex](-6, 6)[/tex] works [tex]\checkmark[/tex]
Therefore, the solution to this system of equations is:
[tex]x=-6,\\y=6[/tex]
please help tight away!! whst is the solution to the system of equations
Answer:
(2,4)
Step-by-step explanation:
the solution to a system of equations is where two lines intersect.
Which two operations are needed to wrte the expression that represents Fournes heerence of a number and three? mult cation and subtraction Komision and subtraction Cmu tip cation and addition division and addition
Answer:
CMU+the curcumin of three is Fournes
Step-by-step explanation:
HELP PLA I NEED HELP
x=20
x=5 root under 3
x=4 root under 2
12 ÷ 4 x ___ = 12
im so confused on this question can you guys help
Answer:
Step-by-step explanation:
12/4 = 3
3 x 4 = 12
4 is the answer
expand and simplify (x-3)(2x+1)(3x-2)
Answer:
6x³ - 19x² + x + 6
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(x - 3)(2x + 1)(3x - 2)
Step 2: Expand
Expand [FOIL]: (2x² + x - 6x - 3)(3x - 2)Combine like terms: (2x² - 5x - 3)(3x - 2)Expand: 6x³ - 15x² - 9x - 4x² + 10x + 6Combine like terms: 6x³ - 19x² + x + 6Please help!! Show your work!! Will mark brainliest!!
Answer:
17 degrees because 180-163=17
Step-by-step explanation:
let the picture be named as above picture:
angle D +163=180 (linear pair)
D=180-163
D=17⁰
Sum of exterior angle of polygon is 360⁰.
148+50+17+90+angleC=360
198+107+angleC=360
305+angleC=360
angleC=360-305
angleC=55⁰
-5x + y = 1
- 10x + 2y = -2
plz answer right this is the last math problem i have to do!
Answer:
-1 -y/5
Step-by-step explanation:
-5x + y = 1
Subtract yy from both sides.
-5x=1-y
−5x=1−y
2 Divide both sides by -5−5.
x=-\frac{1-y}{5}
x=−
5
1−y
-10x+2y=-2
Factor out the common term 22.
2(5x+y)=-2
2(5x+y)=−2
2 Divide both sides by 22.
5x+y=-1
5x+y=−1
3 Subtract yy from both sides.
5x=-1-y
5x=−1−y
4 Divide both sides by 55.
x=\frac{-1-y}{5}
x=
5
−1−y
Find the value of x.
12
2x
x=
Answer:
24x
Step-by-step explanation:
i hope this is correct! c:
PLEASE
What is the solution to the equation 4 ( b − 2 ) − 10 = 2b + 6 ?
An aircraft flies at a speed of 480 miles per hour. It takes the aircraft t hours to reach its destination.
Which of the following equations can be used to find the number of hours it takes the aircraft to reach a destination that is 1200
miles away?
A 1200t=480
B480+1200=t
C480t=1200
D 480+t=1200
Answer:
A
Step-by-step explanation:
The equation 480t = 1200 can be used to find the number of hours an aircraft takes to reach a destination that is 1200 miles away.
The correct answer is option (C) 480t = 1200.
What is equation?"An equation is a mathematical statement that is made up of two expressions connected by an equal sign."
Formula to calculate speed:speed = distance / time
For given question,
An aircraft flies at a speed of 480 miles per hour and takes t hours to reach its destination.
Let d represents the distance(in miles) traveled by an aircraft in t hours with a speed of 480 miles per hour.
By using the formula of speed,
⇒ 480 = d/t
When destination is 1200 miles away.
This means d = 1200 miles.
⇒ 480 = 1200/t
⇒ 480t = 1200 .....................(Multiplying both the sides by t)
This equation can be used to find the number of hours it takes the aircraft to reach a destination that is 1200 miles away.
Therefore, option (C) is the correct answer.
Learn more about equation here:
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PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
~Uh- ~ Hey ~ can ~ someone ~ help ~ me ~ out ~ once ~ again...?~
A circle has a radius of 6 meters. What is the circumference of the circle?
Answer:
The answer is option A
A) Circumference= 12[tex]\pi[/tex] m
Step-by-step explanation:
To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r
if the radius is 6 meters, C is
C = 2*6 [tex]\pi[/tex]r
C= 12[tex]\pi[/tex] m
Darío buys applesauce cups for a family reunion. He needs 23 cups, and he buys them in packs of 6. How many packs does Dario need?
Answer:
He needs 4 packs.
Step-by-step explanation:
6*4=24 So we would need 4 packs, which gives him 24 but at least we have 23 cups.
Very confused. Will give 40pts.
Answer:
Y = 10.25 or 10.247
Step-by-step explanation:
Alright So use the Formula A^2 + B^2 = C^2
You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.
Next, you need to find 16^2 = 256.
Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105
Finally, you take 105 and find its square root.
And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)
Hope this helps!
Find X in this picture.
Answer:
x is in the top left of the triangle :)
Step-by-step explanation:
Answer:
its there....
Step-by-step explanation:
Solve 24≤−6t.
the solution is __
Answer:
t ≤ − 4
Step-by-step explanation:
Answer: t ≤ -4
Step-by-step explanation:
rearrange the problem 24-(-6*t)≤0 Pull out like factors :24 + 6t = 6 • (t + 4)
Divide both sides by 6 Subtract 4 from both sides t ≤ -4
what is the square root of 5 divided by 5 square root of 3?
c=27+10h where c= cost in dollars and h= number of hours rented
Answer:
that help
Step-by-step explanation:
10h+27+−27=c+−27
10h=c−27
10h10=c−2710
h=110c+−2710
Answer:
h=110c+−2710
Mary has a \large 16\frac{1}{2} ounce bag of chocolate chips. She will only use \large \frac{1}{4} of the bag for decorating a cake. How many ounces will she use for decorating
Answer:
4 1/8 ounces
Step-by-step explanation:
Total bag of chocolate chips Mary has = 16 1/2 ounces
She will only use 1/4 of the bag for decorating a cake.
How many ounces will she use for decorating
Ounces used in decoration = 1/4 of 16 1/2
= 1/4 × 33/2
= (1*33)/(4*2)
= 33/8
= 4 1/8 ounces of chocolate chips
She will use 4 1/8 ounces of chocolate chips for decorating a cake
Maddie can not decide which of two Ski sets to buy. The original price of each is $850. The first ski set is marked 50% off. The second was marked down by 30% then a few days later an additional 20% off. 1. Find the sale price of the first ski set... 50% off. Show your work. 2. Find the Sale Price of the Second Ski Set Marked 30% then 20%. Show your work. 3. Which one is a better deal for Maddie and why?
Answer:
$425i. $595 ii. $476First skiStep-by-step explanation:
1. The first ski was valued at $850 but was then given a 50% discount. The sales price will therefore be:
= 850 * ( 1 - 50%)
= 850 * 50%
= $425
2. The first one was first discounted by 30% so the sales price was:
= 850 * ( 1 - 30%)
= 850 * 70%
= $595
It was then marked down by a further 20%:
= 595 * ( 1 + 20%)
= $476
3. The first ski is a better option because the discount makes it cheaper than the second ski even after the second ski had been discounted twice.
A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $323. Find the original selling price of the ski set.
Answer:
The original selling price is $520.632
Explanation:
Consider the initial selling price be $x
After marking down 10%,
Final Selling price = Selling price(1-10%)
Selling price = x – 10% of x = x – 0.1x = 0.9x
After marking 30%
Final Selling price = Selling price(1-10%)
Selling price = 0.9x – 0.3*0.9x = 0.9x – 0.27x = 0.63x
According to the question,
0.63x = 328
Therefore, the original selling price is $520.632
Hope It helps!!❤
Evaluate the power.
0.4 2=____
Answer:
0.2
Step-by-step explanation:
Answer:
0.16
Step-by-step explanation:
4+5(2-3x)+4x
Help pls I need it FAST
Answer: 14 -11x
You first distribute 5 through the parenthesi to get 4 + 10 - 15x + 4x. Then calculate like terms to get 14 - 11x
The triangle shown is an equilateral triangle. An equilateral triangle has sides lengths a. What is the area of the equilateral triangle with the length of each side equal to a? One-half a sine (60 degrees) 3 a sine (60 degrees) One-half a squared sine (60 degrees) a squared sine (60 degrees)
Answer: its C
Step-by-step explanation:
The area of an equilateral triangle can be written as a squared sine (60 degrees) thus Option D is correct.
What is an equilateral triangle?The triangle in which all three sides are of the same length. In this the all angles are the same 60°.
The area of a triangle can be calculated by,
A = 1/2 x b x h..................1
Where,A - Area of triangle
b - base
h - height
From, Pythagoras Theorem
a² = h² + (a/2)²
h² = a² - (a/2)²
Put the value of “h” in equation 1
A = 1/2 x b x h
A = 1/2 x √[a² - (a/2)²] x h
A = √3/4 a²
Since √3/4 = sin 60°.
So, the area of an equilateral triangle as a squared sine (60 degrees).
Learn more about the equilateral triangle;
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A building is 200 feet high. One end of a wire is attached to the top of the building.
The other end is attached to the group 150 feet away from the base of the building. How
long is the wire?
Answer:
250 feet
Step-by-step explanation:
If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.
a= 200
b= 150
c= ?
40,000 + 22,500 = c^2
62,500 = c^2
c = √62,500
∴ c = 250
Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?
Answer:
The one on the graph
Step-by-step explanation:
find the angle p (add a explanation too)
Step 1: Find the sum of the interior angles
Use this formula: 180 x (n - 2)
n is the number of sides of the polygon
Work:
180 x (4 - 2)
180 x 2
360
Step 2: Find the angle right above the 94 degree angle
The entire angle (a circle) is equal to 360 degrees. To find the part we're looking for (inside of the polygon), we need to subtract the angle we already know from 360.
Work:
360 - 94
266
Step 3: Set up an equation to find the missing angle p
We now know every angle except p! And we know the sum of the interior angles. Knowing this information makes it really easy to set up an equation.
360 = 12 + 75 + 266 + p
360 = 353 + p
p = 7 degrees
Does this answer make sense?
Yes! Although the drawing may not be to scale, it is very possible that angle p could be 7 degrees because of how 12 degrees looks on this graph.
Hope this helps!! :)
Please help I don’t get it I will mark brainleist
Answer:
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.
Step-by-step explanation:
bro trust me
James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.
Please help!!!
Answer:
a = -2, b = -3, c = 2
Step-by-step explanation:
We have the following three equations.
ab = 6
ac = -4
bc = -6
Multiply equation 2 and 3, we get
abc^2=24
Dividing it by the first equation, we get
c^2=4
c=2 or -2 (rejected since c is a positive integer)
We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.
GUYS I NEED THIS ANSWERED PLEASE ASAP
What is the y intercept of the following equation 3y-5x=-15
It has to look like this
(0,0)
Answer:
(0,-5)
Step-by-step explanation:
This is the y intercept I graphed it
Answer:
(0,-5)
Step-by-step explanation:
3y-5x=-15
Add 5x on both sides
3y=5x-15
Divide each side by 3
y=5/3x-5
y=mx+b
b is the y-intercept
b=-5
Therefore (0,-5) is the answer
