[tex] \huge \colorbox{yellow}{Question}[/tex]
[tex]x = y - 3[/tex][tex]2x + y = 12[/tex]
[tex] \huge \colorbox{yellow}{Answer}[/tex]
[tex]x = y - 3 \: (equation \: 1)[/tex]
[tex]2x + y = 12 \: (equation \: 2)[/tex]
Substituting the value of x in
( equation 2)
[tex]2x + y = 12[/tex]
[tex]2(y - 3) + y = 12[/tex]
[tex]2y - 6 + y = 12[/tex]
[tex]2y + y = 12 + 6[/tex]
[tex]3y = 18[/tex]
[tex]y = 18 \div 3[/tex]
[tex]y = 6[/tex]
Now we get y = 6
Substituting the value of y in
( equation 1 )
[tex]x = y - 3[/tex]
[tex]x = 6 - 3[/tex]
[tex]x = 3[/tex]
Now we get x = 3
[tex] \huge \mathsf\red{Final \: Answer}[/tex]
y = 6 x = 3Maribel pidio 100 refrescos a una tienda,los de naranja se los vendieron a $35.00 y los de cola a $38.00 si pago en total $3620 cuantos refrescos de naranja pideo
Answer:
the number of orange sodas be 60
Step-by-step explanation:
Let us assume the orange ones be x
And, the cola ones be y
Now according to the question
x + y = 100
y = 100 - x.........(1)
35x + 38y = $3,620........(2)
Now put the value of equation 1 in equation 2
So,
35x + 38(100- x) = 3620
35x + 3800 - 38x = 3620
-3x = -180
x = 60
Hence, the number of orange sodas be 60
Help me please I'm very confused about this!
Answer:I think it's trying to find the area of which is a 5 times 2 = 10
Step-by-step explanation:
The number of butterflies in an exhibit is decreasing at an exponential rate of decay. The number of butterflies is decreasing by 5% every year. There are 500 butterflies in the exhibit right now. How many butterflies will be in the exhibit in 7 years? Round your answer to a whole number.
Answer:
349 butterflies
Step-by-step explanation:
The formula for Exponential Decay =
y = a(1 - r)^t
Where y = Size of population after time t = ?
a = Initial size of population = 500
r = Decay rate = 5%
t = Time = 7 years
Hence,
y = 500(1 - 0.05)⁷
y = 500(0.95)⁷
y = 349.16864805 butterflies.
Approximately = 349 butterflies
HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!
The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long. How long is the longer leg of the triangle?
1) 17yd
2) 17√2yd
3) 17√3yd
4) 34yd
Answer:
[tex]17\sqrt{3}[/tex]
Quiz Results:
The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd
What is a 30-60-90 Special Right Triangle?The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
The wider the angle is, the larger the side opposite to is.
For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).
As shown in the image below, using the sine law for non right angles, we get:
[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd[/tex]
Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd
Learn more about law of sines here:
https://brainly.com/question/17289163
Israel has a total of 25 coins in his pocket - they are
all quarters and dimes. The value of the coins are
$3.85. How many quarters and dimes are in Israel's
pocket?
X - quarters
y - dimes
Answer:
15x 1y
Step-by-step explanation:
im smart
Movers are filling the truck below with cube shaped boxes. If each box has edge lengths of 12 yard, how many total boxes will fit in the truck? L: 3 1/2 yds W: 5 yds H: 2 1/2 yds
Answer:
14boxes
Step-by-step explanation:
Given the following
Length of truck: 3 1/2 yds
Width of truck: 5 yds
Height of truck: 2 1/2 yds
Volume of truck = Length * Width * Height
Volume of truck = 3 1/2 * 5 * 2 1/2
Volume of truck = 7/2 * 5 * 5/2
Volume of truck = 7/4 cubic yards
For each box
Length L = 1/2 yd
Volume of each box = 1/2 * 1/2 * 1/2
Volume of each box = 1/8 cubic yds
Since 1 box = 1/8 cubic yds
x box = 7/4 cubic yds
Cross multiply
1/8x = 7/4
Cross multiply
4 * x = 7 * 8
4x = 56
x = 56/4
x = 14
Hence the total boxes that can fit in the trunk is 14boxes
HELPPPPP
CAN ANYBODY TELL ME IF 3.375 IS THE ANSWER
What will be the 7th term in the sequence
Enter your answer as a fraction.
Answer:
1/32
Step-by-step explanation:
You plug 7 for n and solve in calculator.
Answer:
1/128*4= 0.03125
Step-by-step explanation:
We can simplify the formulas to get 1/2^n *4. Substitute 7 for n and you get your answer.
Please help and thank you
Answer:
D
Step-by-step explanation:
Need help thanks
It’s Trigonometry and it’s hard.
I need help with these question! Please do step by step :)
Answer:
Number of bags of chocolate chip cookies = x = 0.133 bags
Number of bags of walnuts = 7.7 bags
Step-by-step explanation:
Chocolate chip cookies = 12oz per bag = $3
Walnuts = 4oz per bag = $2
She need 3 pounds of Chocolate chip cookies and Walnuts
Let us represent
Number of bags of chocolate chip cookies = x
Number of bags of walnuts = y
She need 3 pounds of Chocolate chip cookies and Walnuts
Hence,
We have to convert oz (ounces) to pounds
For chocolate chip cookies
1 oz = 0.0625 pound
12 oz = x
Cross Multiply
x = 12 × 0.0625 pound
x = 0.75pound
For Walnuts
1 oz = 0.0625 pound
4 oz = x
Cross Multiply
x = 4 × 0.0625 pound
x = 0.25pound
Hence,
0.75 pound = $3
0.25 pounds = $2
She can only spend $15
Chocolate chip cookies = 12oz per bag = $3
Walnuts = 4oz per bag = $2
Hence,
0.75x + 0.25y = 3..... Equation 1
3x + 2y = 15.... Equation 2
Multiply Equation 1 by 2 and Equation 2 by 0.25
1.5x + 0.5y = 3... Equation 3
1.5x + 4y = 30.... Equation 4
Subtract Equation 3 from 4
3.5y = 27
y = 27/3.5
y = 7.7 bags
Solving for x using Equation 2
3x + 2y = 15.... Equation 2
3x + 2(7.7) = 15
3x + 15.4 = 15
3x = 0.4
x = 0.4/3
x = 0.133 bags
Number of bags of chocolate chip cookies = x = 0.133 bags
Number of bags of walnuts = 7.7 bags
Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that have the following solution sets:
One solution: x=15
Answer:
|x-15|=0
Step-by-step explanation:
Obviously.
Answer:
|x-15|=0
Step-by-step explanation:
Which one is it ? NO LINKS
245
55
180
65
Answer:
245 is the best answer. I am right ta boy
Answer: 245
Step-by-step explanation:
60 + 120 + 65 = 245
HEY THERE! PLS HELP ME WITH THIS MATH QUESTION- AN EXPLANATION WOULD BE GREAT! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND ACHIEVE 10 POINTS! THANKS :)
xoxo
Answer:
I might be wrong but I think it's 180 millimeters.
Step-by-step explanation:
4cm times 5cm times 9cm = 180 millimeters
1. 4cm times 5cm = 0.002 m^2
2. 0.002 m^2 times 9cm = 180 millimeters
Hopes this helps. If not please tell me. I will try to improve.
HELP ASAP DUE SOON! GIVING BRAINLIESTT!
Answer:
1. 40
2. 35.71
Step-by-step explanation:
using
pythagoras theorem
what would be the ending bank balance?
find the perimeter:
The answer choices are down below:
80.8m or 91.7m.
Perimeter of the shape is =sum of all the side
Perimeter =16.2+7.5+18+12+18+7.5
Perimeter =79.2
Perimeter
Answer:
perimeter=12+18+18+7.5+7.5+16.2
=79.2m
What is the sum?
Thank you!
Answer:
50 is the sum
Step-by-step explanation:
-10+20=10
10+-40=-30
-30+80=50
50 Points
Find the value of r in the figure.
Assume that lines a and bare parallel.
(4r - 30)
(2x)
b
Answer:
A) x = 15
Step-by-step explanation:
4x - 30 = 2x
subtract 2x from each side of the equation:
2x - 30 = 0
add 30 to each side:
2x = 30
x = 15
Answer:
[tex] \displaystyle A) {15}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said
[tex] \displaystyle 4x - 30 = 2x[/tex]
cancel 2x from both sides:
[tex] \displaystyle 2x - 30 = 0[/tex]
add 30° to both sides:
[tex] \displaystyle 2x = 30[/tex]
divide both sides by 2:
[tex] \displaystyle x =15[/tex]
hence
our answer is A)
if the diamter of the sun is 16cm, what is the area
201.06cm²
Hope this helps.
Write an expression that represents the perimeter of a trapezoid with side lengths z+5,8z-10, 4z+9, and 3z-6
Answer:
Perimeter = (16z - 2)
Step-by-step explanation:
Perimeter of a polygon = sum of the lengths of all sides of the polygon
Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)
By adding like terms,
Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)
= 16z - 2
Therefore, expression representing the perimeter of the trapezoid will be,
(16z - 2)
What is the equation of the line that has a slope of 0 and passes through the point (6, -8)?
Answer:
your answer will be J. Y=-8
Step-by-step explanation:
Y=mx+b (6, -8)
(-8)= 0(6) +b
(-8)= 0+b
(-8)= b
Y=0(6)-8
y=-8
Sumeet bought a few fidget spinner and divided it equally among six of his friends and his sister, Jasmine. While playing, Jasmine lost 2 fidget spinners and has only 12 fidget spinners at present. Find how many fidget spinners did Sumeet buy in all.
Answer:
Yes
Step-by-step explanation:
Ye yes yes =yes yes hes
HELP ME angle-angle similarity
EBK THE ANSWER IS Y O U R M O M I S G A Y
PLEASE HELP ASAPPP ILL MARK BRAINLY IF CORRECT
Answer:
I don't really understand this problem from the picture but here is some tips-
Step-by-step explanation:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.
Use the picture attached. Sorry for not answering the exact question!
Can I get brainliest?
PLEASE HELP ME ILL GIVE 70 POINTS AND MARK BRAINLIEST
Answer:
7: 28x+4 6:20x+2
I only need the explanation
Step-by-step explanation:
start with bracket,4 + 8=12
1/2×12=6
I need help on this question. I tried finding the answer through my own thinking and the Internet, but I still couldn't get it.
Answer:
your answer is 3x2+10x−7
Step-by-step explanation:
What’s the answer it’s due in 15 mins
Answer:
Well Ima need the question buddy
Step-by-step explanation:
After all shrek can’t answer a question without a question.
Write an equation and find missing angle . 6x ° and 30 °
6x+30=180
6×=180-30
×=150/6
×=25
6x=6×25=130