Answer:
∠ Y = 45°, ∠ X = 135°
Step-by-step explanation:
Since the 2 angles are supplementary, then
X + Y = 180 ← substitute X = 3Y
3Y + Y = 180, that is
4Y = 180 ( divide both sides by 4 )
Y = 45
and
X + Y = 180, so
X + 45 = 180 ( subtract 45 from both sides )
X = 135
Thus
∠ X = 135° and ∠ Y = 45°
Answer:
the answer is 135
Step-by-step explanation:
What is 4(x-7)=2(x+3)?
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
4(x−7)=2(x+3)
Simplify both sides of the equation.
4(x−7)=2(x+3)
4x+−28=2x+6
4x−28=2x+6
Subtract 2x from both sides.
4x−28−2x=2x+6−2x
x−28=6
Add 28 to both sides.
2x−28+28=6+28
2x=34
Divide both sides by 2.
2x/2 = 34/2
x = 17
Answer:
x = 17
Step-by-step explanation:
[tex]4(x-7)=2(x+3)\\\\4x-28=2x+6\\\\4x-28+28=2x+6+28\\\\4x=2x+34\\\\4x-2x=2x-2x+34\\\\2x=34\\\\\frac{2x=34}{2}\\\\ \boxed{x=17}[/tex]
Hope this helps.
which is a subset of {1, 2, 4, 5, 6}?
{0, 1, 2}
{3, 4}
{5, 6, 7}
{2, 6}
(believe its the last one but just want to make sure)
Answer:
{2, 6}
Step-by-step explanation:
Subset: A subset is a set of which all the element are contained or can be find in the universal set.
From the question above,
μ = {1,2,4,5,6}
* The first option {0,1,2} is wrong because 0 is not contained in the universal set.
* The second option {3,4} is wrong because, 3 is not contained in the universal set.
* The third option {5,6,7} is wrong because 7 is not contained in the universal set.
* The last option {2,6} is correct because all of the element of the set are contained in the universal set, and as such makes it a subset.
Hence the subset of {1,2,4,5,6} is {2, 6}
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,2) and (8,8)
Answer:
≈ 7.2
Step-by-step explanation:
Use distance formula:
d = √(8-4)² + (8-2)²
Andrea makes Mother's Day bouquets each year for extra income. This year her goal is to make $300. If she sells each bouquet for $12.50, how many bouquets must she sell to reach her goal?
Answer:
24 bouquet
Step-by-step explanation:
300 divide by 12.50
Five less than tvice a number is equal to one half the difference of three times the number and 13. Find the number.
I think it's -3
[tex]2x - 5 = \frac{1}{2} (3x - 13)[/tex]
[tex]4x - 10 = 3x - 13[/tex]
[tex]x = - 3[/tex]
NEED HELP ASAP ALGEBRA 2
Answer:
[tex]2\sqrt{71}[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2}=c^{2}[/tex]
[tex]59+225=284[/tex]
[tex]\sqrt{284}= 2\sqrt{71}[/tex]
Answer:
c=[tex]2\sqrt{71}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\15^{2} +(\sqrt{59} )^{2}=c^{2}\\225+59=c^{2}\\284=c^{2} \\2\sqrt{71} =c[/tex]
Point C lies on BD, If BC = 52.39 mm and
CD = 21.83 mm, what is the length of BD?
37.11 mm
15.28 mm
B) 30.56 mm
74.22 mm
The length of the straight line → BD is 74.22 mm.
What is a line segment?A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
Given is a line BD such that point C lies on BD. Also, BC = 52.39 mm and
CD = 21.83 mm.
We can say that for a straight line -
BD = BC + CD
The given measurements are -
BC = 52.39 mm
CD = 21.83 mm
Substituting the values, we get -
BD = 52.39 + 21.83
BD = 74.22 mm
Therefore, the length of the straight line → BD is 74.22 mm.
To solve more questions on Line segments, visit the link below-
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3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 + 3 D) 0 = 2(x + 5)(x + 3)
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
how to put these in a simply form?
(-2)* (-2)* 10 *10 *10 *10.
21*21*21+(-1)(-1)(-1)(-1).
Answer:
370,4440,001
Step-by-step explanation:
(-2) • (-2) • (10) • (10) • (10) • (10) = 40,000
21 • 21 • 21 = 9261
(-1) • (-1) • (-1) • (-1) = 1
(40,000) (9261) + 1
(370,440,000) + 1 = 370,4440,001
--
exponents
(-2)² + 10⁴ + 21³ + (-1)⁴
How do I write the following expression on my computer?
Answer:
YOU HAVE TO WRITE YOUR QUESTION ON COMPUTER AS ,
Step-by-step explanation:
4/(2*x-3)
I hope it will work
Find X and HM, M is the midpoint of HQ
Answer:
Step-by-step explanation:
4x + 2 = x + 11
3x + 2 = 11
3x = 9
x = 3
4(3)+2= 12+2 = 14
3+11= 14
14+14= 28=HQ
what is the length of CC’
Answer:
5.385 Units
Step-by-step explanation:
5²+2²=c²
25+4=c²
29=c²
c=√29
c=5.385
Answer:8
Step-by-step explanation:
A cylinder has a height of 7 in. and a diameter of 6 in. What is the volume of the cylinder to the nearest cubic inch? V = 66 in^3 V = 132 in^3 V = 198 in^3 V = 792 in^3
Answer:
The answer is
V = 198 in³Step-by-step explanation:
Volume of a cylinder = πr²h
where
h is the height
r is the radius
From the question
h = 7 in
To calculate the radius from the diameter we use the formula
radius = diameter/2
From the question
diameter = 6
radius = 6/2 = 3 in
Volume of the cylinder is
(3)²(7)π
= 9(7)π
= 63π
= 197.9203
We have the final answer as
V = 198 in³ to the nearest cubic inchHope this helps you
george is loading freight into an elevator. He notices that the weight limit for the elevator is 1000 lbs. He knows that he weighs 210 lbs. He has loaded 15 boxes into the elevator. Each box weighs 50 lbs. identify the rate of change for this situation. Plz help
Answer:
Step-by-step explanation:
The rate of change in this case is 50 pounds per box. The fixed amount that the elevator must carry is 210 pounds, which is how much he weighs. The amount that varies with additional boxes is 50 pounds per box, making it the rate of change. If this situation was graphed, George's weight would be the y-intercept and the rate of change would be the slope.
Quick help please 10 points Multiply (-4)(-2)(-5) A -40 B -8 C 8 D 40
Answer:
A -40
Step-by-step explanation:
Answer:
the correct answer is D. 40
John has gross biweekly earnings of $743.61. By claiming 1 more withholding allowance, John would have $19 more in his take home pay. How many withholding allowances does John currently claim?
Answer:
Total withholding allowances are 39.
Step-by-step explanation:
Given the gross earning of John = $743.61
It is given that 1 withholding allowance = $19
Now we have to find the total number of withholding allowances. Here, the number of withholding allowances can be determined by dividing the total earnings with $19.
Number of withholding allowances = 743.61 / 19 = 39.14 or 39 (round off).
Jake wants to find out which can of pineapple is the best buy. He has a choice of four different-size cans. Which can has the lowest unit price per ounce
Answer:
Step-by-step explanation:
Juan went to the store to buy some apples. The price per pound of the apples is $4 per pound and he has a coupon for $1.25 off the final amount. With the coupon, how much would Juan have to pay to buy 4 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.
Answer:
I don’t know this one sorry
Step-by-step explanation:
You work at a flower shop designing bouquets. You need to create bouquets of roses and calla lilies for a wedding. Calla lilies cost you $2.40 each and roses cost $1.90 each. If you need 64 of each type of flower, how much money do you need to spend to make the bouquets?
The total money needed $ 275.2
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Calla lilies cost you $2.40.
roses cost $1.90.
If we need 65 lilies then it will cost
=64 * 2.40
= $153.60
and, If we need 65 roses then it will cost
=64 * 1.90
= $121.60
So, the total money needed
=153.6 + 121.6
=$ 275.2
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The equation x2+y2−16x+6y+73=100 can be rewritten as [g(x)]2+(y+3)2=100.Write an expression for g(x).
Answer: g(x) = (x - 8)
Step-by-step explanation:
We start with the equation:
x^2 + y^2 - 16*x + 6*y + 73 = 100.
And we want to write this as:
g(x)^2 + (y + 3)^2 = 100.
So both equations are equal, then we can write this as:
x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + (y + 3)^2
First we can expand the right side:
g(x)^2 + (y + 3)^2 = g(x)^2 + y^2 + 2*3*y + 9
Then we have:
x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + y^2 + 6*y + 9
Now we can cancel the equal terms in each side, like y^2 and 6*y
x^2 - 16*x + 73 = g(x)^2 + 9
Now let's subtract 9 in each side:
x^2 - 16*x + 73 - 9 = g(x)^2
x^2 - 16*x + 64 = g(x)^2
Then we can assume that g(x) = (x - a)
then:
x^2 - 16*x + 64 = (x - a)^2 = x^2 - 2*a*x + a^2
-16*x + 64 = -2*a*x + a^2
now we must find the value of a, we have two equations:
-2*a = -16
a^2 = 64
and each equation yields to:
a = -16/-12 = 8.
a = √64 = 8
Then we have: g(x) = (x - 8)
Completing the squares, it is found that: [tex]g(x) = x - 8[/tex]
--------------------------------
The expression given is:
[tex]x^2 + y^2 - 16x + 6y + 73 = 100[/tex]
To complete the squares:
First, each first order term(-16 and 6) are divided by 2.Then, we write as the square of (x - 8) and (x + 3).Then, we have to find the squares on the other side of the equality.--------------------------------
Doing these steps:
[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 8^2 + 3^2[/tex]
[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 64 + 9[/tex]
[tex](x - 8)^2 + (y + 3)^2 = 100[/tex]
Which means that:
[tex]g(x) = x - 8[/tex]
A similar problem is given at https://brainly.com/question/16269892
GUYS PLEASE HELP ME ASAP!!!Jason is saving up to buy a new phone that costs $490 (I wish they were still this cheap). So far, he's saved $175. He would like to buy the camera no later than 3 weeks from now. What is the inequality used to represent how much he must save every week to have enough money to purchase the camera? (hint: when the wording is tricky, as it is in this problem, solve the problem as if it were an equation. That is to say, as if Jason was trying to save the money in exactly 3 weeks. Then decide on the sign that makes most sense).
Answer:
175-3x=490
Step-by-step explanation:
he only has 3 weeks, which is a time limit, so it would be -3x instead of +3x, he only has 175, so he needs more, so it's positive. Hope this is correct (:
Answer:
I believe the answer is $105
Step-by-step explanation:
Well you have the price of the phone which is $490 and you also have saved $175 towards the new phone.
I used substraction $175 from $490 leaves $315.
Then i divided $315 by 3 weeks and got $105 .
The football team need to buy Gatorade for Saturdays big game . They have two option. The first option us they can buy it pre-made in a 48 ounce for $3.84 for each bottle. Or they can buy packet and mix it with water. Each packet make 64 ounces and it will cost $4.80. Find the ounce per cost
The question is incomplete. Here is the complete question.
The football team needed to buy Gatorade for Saturday's big game. They have two options. The first option is they can buy it pre-made in 48 ounces bottles for $3.84 for each bottle. Or they can buy packets and mix with water. Each packet makes 64 ounces and will cost $4.80.
a) Find the cost per ounce of each.
b) Which size costs less?
c) The team will need to buy 192 ounces of Gatorade. How much do you save using the choice from answer b?
Answer: a) Pre-made: $0.08 cost per ounce; Packet: $0.075 cost per ounce
b) Packets
c) Save $0.96.
Step-by-step explanation:
a) Cost per ounce:
Pre-made:
[tex]\frac{3.84}{48}[/tex] = 0.08
Packet:
[tex]\frac{4.8}{64}[/tex] = 0.075
b) Comparing costs per ounce, packets costs less than pre-made.
c) Buying packets, the cost will be:
0.075*192 = $14.4
Buying pre-made:
0.08*192 = $15.36
Comparing costs, pre-made is 0.96 more than packets, so they will save 96 cents.
If Log 4 (x) = 12, then log 2 (x / 4) is equal to A. 11 B. 48 C. -12 D. 22
Answer:
[tex]\huge \boxed{\mathrm{D. \ 22}}[/tex]
Step-by-step explanation:
[tex]\mathrm{log_4 (x)=12}[/tex]
Make the base 4 from both sides.
[tex]\mathrm{4^{log_4 (x)}=4^{12}}[/tex]
Simplify the equation.
[tex]\mathrm{x=16777216}[/tex]
[tex]\mathrm{log_2 (\frac{x}{4} )}[/tex]
Let x = 16777216
[tex]\mathrm{log_2 (\frac{16777216}{4} )}[/tex]
[tex]\mathrm{log_2 (4194304)}[/tex]
Evaluate.
[tex]22[/tex]
Answer:
[tex]log_2(\frac{x}{4} )=22[/tex]
which is your answer "D"
Step-by-step explanation:
If [tex]log_4(x)=12[/tex] this means that : [tex]x=4^{12}[/tex] based in the definition of logarithm.
And this exponential expression can also be written using that [tex]4=2^2[/tex]:
[tex]x=4^{12}=(2^2)^{12}=2^{24}[/tex]
so now we know what x is with base 2 (which is needed for the second expression:
[tex]log_2(\frac{x}{4} )=?[/tex]
And this also can be written in exponent form (using the unknown "?" we need to find) as:
[tex]2^?=\frac{x}{4} \\x=4\,*\,2^?\\x=2^2\,*\,2^?\\x=2^{2+?}[/tex]
Since we know the value of x in base 2 (from our first analysis), then:
[tex]x=2^{2+?}=2^{24}\\then\\2+?=24\\?=22[/tex]
Therefore,
[tex]log_2(\frac{x}{4} )=22[/tex]
Question 1
Translate the following information into the
language of algebra. You answer should include an
algebraic expression, and clear definitions of any
variables.
Sophia is in a room filled with people. She is
counting all the shoes in the room.
She thought that the number of shoes would just be
double the number of people in the room. However,
there is also a cupboard in the room containing 4
extra shoes,
Answer:
let people=x
and shoes=y
now,as per the question
2x-4=y
A certain game is played on a board that shows a portion of the xy-coordinate plane. During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) and then moved 3 units to the left. During such a move, a marker that is at (4,3) will be moved to
Answer: (0,4)
Step-by-step explanation:
Given: During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) . (i)
And then moved 3 units to the left. (ii)
Translation rule to move a point (x,y) c units left : (x,y)→(x-c,y)
Now, (4,3) first will become (3,4) [using (i)]
Then, (3,4)→(3-3,4)=(0,4) [using (ii) and translation rule]
Hence, During such a move, a marker that is at (4,3) will be moved to (0,4).
What is the mean of the data set?
61, 38, 40, 53
Answer:
48
Step-by-step explanation:
You are solving for the mean of the data set. To do so, add all the numbers together, and divide by the amount of numbers in the set.
Note that there are 4 numbers given to you: 38, 40 , 53, 61.
First, add the 4 numbers together:
38 + 40 + 53 + 61 = 192
Next, divide 4 from the total gotten:
192/4 = 48
48 is the mean of the data set.
~
Answer:
48Step-by-step explanation:
[tex]Mean = \frac{Total \: value}{no \:of \:given \:data} \\\\=\frac{61+ 38+ 40+ 53}{4}\\\\=\frac{192}{4} \\\\= 48[/tex]
A coin is flipped 25 times and lands on heads 16 times. Based on the experimental probability, how many heads would you predict for 200 flips of the coin?
Answer:
128 heads.
Step-by-step explanation:
From the experiment the probability = 16/25.
So the number of heads expected is (16/25) * 200
= 16 * 8
= 128.
Answer:
128 heads is the answer
Step-by-step explanation:
16/25=.64
.64*200=128
I would predict that it would land on heads 128 times if you flipped the coin 200 times.
Let's start by solving this equation:
4(x + 4) = 7x - 5
Please answer quick
Answer: x=7
Step-by-step explanation: 4(7+4)=44. 7(7)-5=44.
Answer:
x=7
Step-by-step explanation:
4(x + 4) = 7x - 5
Distribute
4x+16 = 7x-5
Subtract 4x from each side
4x+16 -4x = 7x-5-4x
16 = 3x -5
Add 5 to each side
16+5 = 3x-5+5
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
Ms. Gantt has a $15 gift card to Starbucks. She buys 2 muffins for $2.65 each, 2 hot chocolates for $1.79 each, and a juice for $3.05. How much remains on her gift card? Help please I will mark you brainiest.
Answer:
Remains on her gift card:
$3.07
Step-by-step explanation:
15 - ((2*2.65) + (2*1.79) + (1*3.05))
= 15 - (5.3 + 3.58 + 3.05)
= 15 - 11.93
= 3.07
Remains on her gift card:
$3.07
Complete the description of The transformation f(x)=|x| g(x)=|x+9|-5
Answer:
f(x) down 5 units
and shifted to the left 9 units
Step-by-step explanation:
Transforming f(x) = |x| into g(x) = |x+9| - 5
involves:
1) shifting the graph horizontally 9 units to the left (with the subtraction of -9 from the variable "x", getting x+9 inside the absolute value symbols, and
2) shifting its graph 5 units down by subtracting 5 from the full expression