1.Solve for y.
(first picture
y =
2.What is the value of y?
(second picture
y =
Answers
The answer to number two is y= 5
Related Questions
Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend. Tickets cost $42 each. This is 70% of the cost of a regular price ticket. What is the cost of a regular price ticket? Please explain! thanks!
Answers
Jane has a 5x7 inch photograph that she wants enlarged to a 10x14inch photograph. What is the scale factor from the original photograph to the enlarged photograph?
Answers
What is the reason for Statement 2 of the two-column proof?
a) Linear Pair Postulate
b) Definition of angle
c) Definition of bisect
d) Angle Addition Postulate
Answers
We have been given that PQ bisects [tex]\angle RPS[/tex]. In the second statement of the given two-column proof, the statement is [tex]\angle RPQ\cong\angle QPS[/tex].
This implies that the two angles formed by bisection of angle [tex]\angle RPS[/tex] by the line PQ are equal. We know that the reason for this is simple. It is the definition of bisection of an angle that the two smaller angles formed will be equal to each other.
Therefore, the reason for statement 2 of the given two column proof is c) Definition of bisect
in diagram below, fg=10 and HJ=10. Which additional facts would guarantee that fghj is a parallelogram? Check all that apply.
Answers
* Sides fj and sides gh should be equal
* The blue angles should not be equal to the red angles
* The blue angles should be equal
* The red angles should be equal
Bananas cost $0.70 each, and peaches cost $0.90 each. If you want to spend exactly $21.20 at the stand and you need to buy 11 bananas, how many peaches can you buy? Write an equation in standard form modeling this situation then see how many peaches you can buy. Let be represent the number of bananas you buy and p represent the number of peaches you buy. [2 points]
Standard Form Equation: _______________________
p = ________
Answers
You can buy 15 peaches, P = 15.
Plugging 11 in for b (equation above), you have spent $7.70 on bananas. Subtract this number from $21.20 to find that you have $13.50 left over for peaches. Divide 13.5 by 0.9 (since peaches cost 90 cents each), and your answer is 15.
With $21.20, you can buy 11 bananas and 15 peaches.
Ian wants to promote his band on the internet. Site a offers website hosting for $4.95 per month with a $49.99 startup fee. Site b offers website hosting for $9.95 per month with no startup fee. Write and solve an inequality to determine how many months lan could have his wedsite on site b and still keep his total cost less than site a
Answers
Site A: $49.95 plus $59.40(4.95 x 12) equals $109.35
Site B: $9.95 x 12 equals $119.40
No, wait that's not right.
Okay, at 8 months, site A is pretty much at $90 (forget the nickels) and site B is $80 so site B is less.
At 7 months, site A is $85 and site B is $70 so site B is less.
At 9 months, site A is $95 and site B is $90 so site B is less.
At 10 months, site A $100 and site B is $100
It's got to be around 10 months somewhere.
Ten months would be $99.45 for site A and $99.50 for site B so B is less.
Eleven months is $104.40 for A and $109.45 for B so now B is more.
Ian could have his website on site B for less than 10 months for it to be cheaper than hosting on site A.
Explanation:To solve this question, we need to find when the costs between site a and site b equal each other. Since site a charges $4.95 per month plus a $49.99 startup fee, the cost of site a can be modelled by the equation: 4.95x + 49.99. Site b charges $9.95 per month with no startup fee, so its cost can be modelled by the equation 9.95x. We can now set up the inequality as follows:
4.95x + 49.99 > 9.95x
To solve for x, we will subtract 4.95x from both sides of the inequality, getting 49.99 > 5x. Finally, we divide each side by 5 to solve for x, resulting in x < 10. So Ian could have his website on site b for less than 10 months and still keep his total cost less than site a.
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A bakery offers a sale price of $2.55 for 4 muffins. What is the price per dozen? The price per dozen muffins is $ .
Answers
Final answer:
To find the price per dozen, divide the sale price of $2.55 by 4 to get the price per muffin, then multiply by 12. The price per dozen muffins is $7.65.
Explanation:
To calculate the price per dozen muffins at the bakery when the sale price is $2.55 for 4 muffins, you first need to determine the price of one muffin. You can do this by dividing the sale price by the number of muffins in the offer:
$2.55 ÷ 4 = $0.6375 per muffin.
Next, because a dozen consists of 12 items, you would find the price per dozen by multiplying the price per muffin by 12:
$0.6375 × 12 = $7.65
Therefore, the price per dozen muffins is $7.65.
David cycles x km in 3 hours. if he maintains the same average speed, how far can he cycle in 12y minutes
Answers
David can cycle [tex]\( \frac{xy}{15} \)[/tex] kilometers in 12y minutes if he maintains the same average speed.
To find out how far David can cycle in 12y minutes, we first need to convert the time from minutes to hours, since David's speed is given in kilometers per hour.
Since there are 60 minutes in an hour, we can convert 12y minutes to hours by dividing by 60:
[tex]\[ \text{12y minutes} = \frac{12y}{60} = \frac{y}{5} \text{ hours} \][/tex]
Now, we know that David cycles x kilometers in 3 hours, so we can find his average speed:
[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} \]\[ \text{Average speed} = \frac{x \text{ km}}{3 \text{ hours}} \][/tex]
Now, using the average speed, we can find the distance David can cycle in [tex]\( \frac{y}{5} \)[/tex] hours:
[tex]\[ \text{Distance} = \text{Average speed} \times \text{Time} \]\[ \text{Distance} = \left( \frac{x}{3} \right) \times \left( \frac{y}{5} \right) \]\[ \text{Distance} = \frac{xy}{15} \][/tex]
What is the remainder when the polynomial 8x^2+4x−3 is divided by 2x−1?
Answers
Answer:
1
Step-by-step explanation:
Given: A polynomial [tex]8x^{2} +4x-3[/tex] is divided by another polynomial [tex]2x-1[/tex]
To find: Remainder when [tex]8x^{2} +4x-3[/tex] is divided by [tex]2x-1[/tex]
Solution:
To find the remainder when [tex]8x^{2} +4x-3[/tex] is divided by [tex]2x-1[/tex]
First, equate [tex]2x-1[/tex] with 0.
Now, [tex]2x-1=0[/tex]
[tex]\implies2x=1[/tex]
[tex]\implies x=\frac{1}{2}[/tex]
Now, to find the remainder put [tex]x=\frac{1}{2}[/tex] in [tex]8x^{2} +4x-3[/tex]
So, we have
[tex]8\times(\frac{1}{2})^{2}+4(\frac{1}{2} )-3[/tex]
[tex]=8\times\frac{1}{4} +2-3[/tex]
[tex]=2+2-3[/tex]
[tex]=4-3[/tex]
[tex]=1[/tex]
Hence, the remainder is 1.
96 points here, having to ask same question again - please help a brother out.
Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation. Show your work.
1. cot x sec^4 x = cot x + 2 tan x + tan^3 x
2. (sin x)(tan x cos x - cot x cos x) = 1 - 2 cos^2 x
3. 1 + sec^2 x sin^2 x = sec^2 x
4. ((sin x)/(1-cos x)) + ((sin x)/(1+cos x))=2csc x
5. - tan^2 x + sec^2x = 1
Answers
the equation is - tan2 x + sec2 x = 1.
Left hand side identity : - tan2 x + sec2 x.
Trigonometric function : tan x = sin x / cos x,
Reciprocal identity : sec x = 1/cos x.
- tan2 x + sec2 x = - (sin x/cos x)2 + (1/cos x)2
= - sin2 x/cos2 x + 1/cos2 x
= (1 - sin2 x)/cos2 x
Pythagorean identity : sin2 x + cos2 x = 1 .
= cos2 x / cos2 x
= 1
A bag contains equal numbers of green and blue marbles. You can divide all the green marbles into groups of 12 and all the blue marbles into groups of 16. What is the least number of each color of marble that can be in that bags?
Answers
To solve this problem, we need to find for the LCM of each number. That is:
12: 12, 24, 36, 48, 60
16: 16, 32, 48, 64, 80
So we can see that the LCM is 48.
Therefore the least number of each color of marble must be 48.
Answer:48
Step-by-step explanation:love ya thank me later
Shelly can cut a lawn with a riding mower in 22 hours less time than it takes william to cut the lawn with a push mower. if they can cut the lawn in 33 hours working together find how long to the nearest tenth of an hour it takes for william to cut the lawn alone.
Answers
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount of time Shelly takes working alone
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Two cars leave the origin; one goes north at 45 mph and the other goes south at 40 mph. after how many hours will they be 350 miles apart?
Answers
so, say car N goes north at 45mph, and car S goes south at 40mph.
after "some time" they'd be apart 350 miles, when that happens, N has been travelling for say "t" hours, and S has been travelling for the same "t" hours, their time has to be the same.
now, we know they'd be 350 miles apart, so if say N has gone "d" miles, then S has gone the slack, or "350 - d".
and we know their rates.
[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ \textit{Car N}&d&45&t\\ \textit{Car S}&350-d&40&t \end{array} \\\\\\ \begin{cases} \boxed{d}=45t\\ 350-d=40t\\ --------\\ 350-\boxed{45t}=40t \end{cases} \\\\\\ 350=85t\implies \cfrac{350}{85}=t\implies \cfrac{70}{17}=t\implies 4\frac{2}{17}=t[/tex]
which is about 4 hours and 7 minutes with 3.5 seconds.
To find the time when two cars traveling in opposite directions are 350 miles apart, we calculate their relative speed, which is 85 mph. We then divide the distance (350 miles) by this speed to get approximately 4 hours and 7 minutes.
Explanation:The question is asking to find out after how many hours two cars traveling in opposite directions will be 350 miles apart, with one car going north at 45 mph and the other south at 40 mph. To solve this, we need to apply the concept of relative speed.
The relative speed is the sum of the individual speeds when two objects are moving in opposite directions. In this case, it's 45 mph + 40 mph = 85 mph. This is the speed at which the distance between the two cars is increasing.
Next, to find the time 't' when they will be 350 miles apart, we use the formula:
Distance = Speed × Time
350 miles = 85 mph × t
To solve for 't', we divide both sides by 85 mph:
t = 350 miles / 85 mph = 4.1176 hours, or approximately 4 hours and 7 minutes.
Hi! Please help me with this question! 12 points and brainliest to whoever answers it correctly first!
1. Given: -3x + y = 1. Write the equation in general form Ax + By + C =0.
3x - y + 1 = 0
-3x + y - 1 = 0 (not this one)
3x - y = -1
Answers
Mr. Rose spent $63 for a sport jacket and a pair of slacks. If the jacket cost $33 more than the slacks, how much did he pay for each?
Which system of equations represents the word problem if j is the jacket price and s is the price of the slacks?
j + s = 63 and s - j = 33
j + s = 63 and j - s = 33
js = 63 andj/s = 33
Answers
we know that the total is 63, and the jacket cost s+33
it is addition and subtraction, so we can cancel the last one. j is more than s, so we would go with your second option, j + s = 63 and j - s = 33.
Can I plz have brainliest?
Answer:
The system of the equations is: j+s=63 and j-s=33
The Jackets price is j=48
The slacks prices is s=15
Step-by-step explanation:
You know for the problem that:
j+s=65
And
j= s+33; from this equation you get j-s=33
Then you replace j "j=s+33" in the first equation:
(s+33)+s=63
2s+33=63
2s=63-33
s=(63-33)/2
s=15
and you know that: j=s+33
Then, j=15+33=48
and j+s=63
48+15=63
△VAT≅△BDT.
¯¯¯¯¯
What is length of BT ?
Answers
Answer:
[tex]BT=6.3[/tex]
Step-by-step explanation:
We have been given that triangle VAT is congruent to triangle BDT. We are asked to find the length of segment BT.
Since both triangles are congruent, therefore, their corresponding sides will be equal by the definition of congruence.
[tex]\Delta VAT\cong \Delta BDT[/tex]
By the definition of congruence:
[tex]VA=BD[/tex]
[tex]AT=DT[/tex]
[tex]VT=BT[/tex]
Since the length of side VT is 6.3 units, therefore the length of BT is 6.3 units as well.
As children grow, dosages for medications gradually approach those for adults. Clark’s rule is often used to determine the correct dosage for children.
Child’s dose = Adult dose x (Weight of child in pounds)/(150 pounds)
What dosage should be administered to a child weighing 28 pounds if the adult dose of a certain drug is 80 milligrams? Round your answer to the nearest whole milligram.
How much would a child have to weigh to receive the adult dosage? Explain why your answer is reasonable.
Answers
The graph of a proportional relationship contains the point (8, 4).
What is the corresponding equation?
Enter your answer as a fraction in simplest form
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The sum of three consecutive integers is 16 more than 2 times the smallest integer. find the integers
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sum of three consecutive integers is 1 more than 2 times the smallest integer
(x) + (x + 1) + (x + 2) - 16 = 2x
3x + 3 - 16 = 2x
3x -13 = 2x
-13 = -x
13 = x
The smallest integer is 13, the second integer is 14, the third integer is 15
"The sum of three consecutive integers..." From this, we know we'll be adding all three of our integers together, so let's collect those:
[tex]a+(a+1)+(a+2)=3a+3[/tex]
"...is 16 more than 2 times the smallest integer." Translating that into math: "is" is shorthand for "equals," "16 more than" means we'll be adding 16 to some value, and "2 times" obviously implies multiplication plus two. Finally, the smallest integer we have is [tex]a[/tex], so let's compose these facts into a full expression and combine them with our sum above to form a complete equation:
[tex]3a+3=2a+16[/tex]
From here, all that's left is to solve for [tex]a[/tex]. Once you have that value, [tex]a[/tex], [tex]a+1[/tex], and [tex]a+2[/tex] will be your integers.
Graph y+6=4/5(x+3) using the point and slope given in the equation. Use the line tool and select two points on the line.
Answers
Answer:
Look at pic...
The points were (-3,-6) and (2,-2)
Step-by-step explanation:
You could just use desmos graphing calculator
The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The two points on the line are (0, -3) and (1, -11/5).
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y + 6 = 4/5 ( x + 3 )
Subtract 6 on both sides.
y = 4/5 ( x + 3 ) - 6
y = (4/5)x + 4/5 x 3 - 6
y = (4/5)x + 12/5 - 6
y = (4/5)x + (12 - 30)/6
y = (4/5)x - 3
The y-intercept is at -3.
We have a point as (0, -3).
For x = 1,
y = (4/5) x 1 - 3
y = 4/5 - 3
y = (4 - 15) / 5 = -11/5
The other point is (1, -11/5)
Thus,
The two points on the line are (0, -3) and (1, -11/5).
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What are the x-intercepts of the graph of the function below? y=x^2+4x-32
Answers
Let me know if you want to know why
Answer:
Option B is correct.
Step-by-step explanation:
Given Function is,
y = x² + 4x - 32
X-intercepts of the graph of given function is the solution of the equation when y is equal to 0 is substituted.
y = 0
x² + 4x - 32 = 0
x² + 8x - 4x - 32 = 0
x ( x + 8 ) - 4 ( x + 8 ) = 0
( x + 8 ) ( x - 4 ) = 0
x + 8 = 0 and x - 4 = 0
x = -8 and x = 4
So x-intercept are ( -8 , 0 ) and ( 4 , 0 )
Therefore, Option B is correct.
what is 7,925 divided by 72?
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Which is bigger, 978 centimeters or 12 meters?
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Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after 2 years
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A baseball player got 102 hits in the last 300 times at bat.
What percent of the times at-bat did the player get a hit?
The player got a hit ? % of the time.
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answer is 34%
The answer to your awesome question is 34%. this is because you have to divide in order to find the answer. 102 divided by 300 = 0.34, therefore your answer would be 34%!
Have a great day!
twice the sum of a number and 5 equals 9 as a equation
Answers
I believe it looks like this..
2*x+5=9
Btw, x = 3 is your answer if you're wondering..
Hope this helps! ☺♥
PLZ Help I really need to know how to do this
SKIING The distance in meters that a person
travels on skis can be modeled by d(t) = 0.2t^2 + 3t,
where t is the time in seconds. Use the Remainder
Theorem to find the distance traveled after 45
seconds.
Answers
135in.=___ft ___ in.
convert
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1 foot = 12 inches
135 / 12 = 11.25 feet 0.25 feet = 0.25 * 12 = 3 inches
answer is: 11 feet 3 inches
A store owner ordered 132 boxes of erasers. There are 8 erasers in each box. Use place value and expanded form to write an expression that shows how to multiply 8 x 132.
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[tex]8\times132=8\times100+8\times30+8\times2 \\ \\ =800+240+16=1,056[/tex]
how do you graph a function