Step-by-step explanation:
TO find the vertex, you need to find the x− and y− coordinates.
The formula for the axis of symmetry and the x-coordinate of the vertex is:
x = -b over 2a
To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y
y=a(-b over 2a) squared + b(-b over 2a) + c
Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.
This is a system of equations
Answer:
hamburgers - $4.30 hotdogs- $3.50
The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,
5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5
Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
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Harper is knitting a scarf for her cousin's birthday. She plans to knit every night, making the scarf 5 centimeters longer each night. Write an equation that shows the relationship between the number of nights Harper spends knitting, x, and the length of the scarf in centimeters, y.
The equation that shows the relationship between x and y is:
y = 5x
A linear equation is in the form:
y = mx + b
where m is the rate of change and b is the initial value of y, y, x are variables.
Let x represent the number of nights knitting and y represent the length of the scarf.
The equation that shows the relationship between x and y is:
y = 5x
Find out more at: https://brainly.com/question/13911928
valentina wants to grow out her hair. it grows 0.5 inches per month, and it is currently 9 inches long. write an equation that shows the relationship between that shows the relationship between the number of months that valentina grows out her hair, x, and the length of her hair in inches, y
Answer:
y=0.5x+9
Step-by-step explanation:
Find the perimeter. Simplify your answer.
S+1
s
S+1
1. Which set of ordered pairs shows a functional relationship? *
25 points
a(4,-4) (4,4) (6,-6) (6,6)
b(3,8) (5,12) (7,17) (3,12)
c(2,6) (4,12) (6,18) (8,24)
d(3,-6) (5,-10) (3,-10) (6,-12)
Answer:
C
Step-by-step explanation:
X's go up by 2, and Y's go up by 6
which of the following is an example of a polynomial equation?
Will give brainliest
See drawing attached below.
Corresponding angles and sides are congruent to each other. Thus,
∠L corresponds to ∠H
∠J corresponds to ∠P
HU corresponds to LO
PO corresponds to JU
LP corresponds to HJ
∠U corresponds to ∠O
Answer:
thanks for the points bye bye for now love u fin and I will
There is 358 pieces of pumpkin pie by the time dessert comes around there are only 7 guest left how many pieces can each person get if it is shared equally how many will be left over
ANOTHER ONE LOL You exercise for ¾ of an hour. You jump rope ⅓ of that time. What portion of the hour do you spend jumping rope?
Answer: 15 minutes
Step-by-step explanation:
60 / 4 = 15
15 * 3 = 45
45 / 3 = 15
Answer:
Step-by-step explanation:
Time spent on jump rope = 1/3 of 3/4
[tex]= \dfrac{1}{3}*\dfrac{3}{4}=\dfrac{1}{4} \ hour[/tex] or 15 minutes
In a recent year, 39% of all college students were enrolled part-time. If 5.8 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
Answer:
15 million
Step-by-step explanation:
39% of all college students enrolled part-time.
5.8 million college students enrolled part-time.
Let x = the total number of college students.
39/100 • x = 5.8
x = 5.8 • 100/39
x = 14.87
=15 million
Hope this helps :)
PLEASE HELP!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answer:
DE = ____24__ m∠E = ____22____
Step-by-step explanation:
I hope this helps
At the craft store, Ivan bought a bag of orange and purple marbles. The bag contained 48 marbles, and 75% of them were orange. How many orange marbles did Ivan receive?
Answer:
jjjjjjjjjjjjjjjjjjjjjjjj
If your getting paid 5$ every week how long will it takes you to get 10,000$?
!!!!!!!!!!!!!!!!!!!!!!!!!#
[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]
The best option is letter C. t = 2h + 32
C. t = 2h + 32Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
A. 8
B. 9
C. 10
D. 11
Answer:
C. 10 weeksStep-by-step explanation:
Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
A. 8
B. 9
C. 10
D. 11
cost of television divided by weekly savings = number of weeks
625 : 62.50 = 10 weeks
Which is better to buy 12 cans for $9.00 or 4 cans for $3.00.
SHOW YOUR WORK please
Answer:
Both are equal prices per can
Step-by-step explanation:
9/12 = 3/4 = .75 per can
3/4= .75 per can
The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines?
Answer:
(-9, 5)
Step-by-step explanation:
1. Find the equations of both lines (y = mx +b).
For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:
f1(x) = 2x + 23
For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,
f2(x) = -7x - 58
2. Set the equations equal to each other to find the x-value at which the two equations will intersect.
2x + 23 = -7x - 58
9x = -81
x = -9
3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.
y = 2x + 23
y = 2(-9) + 23
y = 5
OR
y = -7x - 58
y = -7(-9) - 58
y = 5
ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).
Answer:
x = -9 and y =. 5
Step-by-step explanation:
(-2, 19) and (-1, 21)
Slope: (21-19)/(-1- -2) = 2
y-intercept = 21 - (2)(-1) = 23
a) y =2x + 23
(-2,-44) and (-1,-51)
Slope: (-51- - 44)/(-1- -2) = -7/1 = -7
y-intercept: -44-(-7)(-2)=-58
b) y = -7x - 58
Substitute y in equation a.
-7x-58 = 2x + 23
-9x = 81
x = -9
Substitute X by -9 in equation b: y = -7(-9) - 58= 5
y = 5
4(2-3x)=-2x-27
help plz
Answer:
x = 7/2
x = 3.5
x = 3 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Compare î and by converting each fraction to a decimal. Which is larger? 3 O A. î (or 0.27) is the larger number. OB. (or 0.2727...) is the larger number. 11 C. 3 12 (or 0.312) is the larger number. O D. (or 0.25) is the larger number.
Answer:
A
Step-by-step explanation:
Hope it can help you lovelots
Answer: B. 3/11 (or 2.2727...) is the larger number.
What is the value of x in (2/3)x=4/9?
Answer:
The value of x would be 2/3
Answer:
the answer for x is 2
Step-by-step explanation:
18. Which is more, five-eighths of a dollar or four-ninths of a dollar?
I need hellllllllpppppppppp
Answer:
five-eighths of a dollar is more than four-ninths of a dollar
Step-by-step explanation:
If you convert the fractions into decimals:
5/8 = 0.625
4/9 = 0.44444444444...
0.625 is closer to 1 than 0.44444444444...
Hope that helped!
HUrrryyy i need help!!!!!
Answer:It is D Step-by-step explanation:
47-?=50-35 please help
Answer:
x = 32
Step 1: Solve the right-hand side of the equation.
47 - x = 50 - 35
=> 47 - x = 15
Step 2: Subtract '47' from both ends.
=> 47 - x = 15
=> -x = 15 - 47
Step 3: Solve for x.
=> -x = -32
=> x = 32.
Hoped this helped.
Can someone help me with this one. I got it wrong
Answer:
I believe the answer is D
Step-by-step explanation:
A car travels 23 km in 15 minutes. How fast is it going in kilometres per hour?
Answer:
96 km/h.
Step-by-step explanation:
23 x
-- = ----
15 60
60/15 = 4
24 x 4 = 96
x = 96
How do you solve for x
3x^2 = -24x
[tex]3x^2 = -24x \\\\\implies 3x^2 +24x =0\\\\\implies x^2 +8x = 0\\\\\implies x(x+8) =0\\\\\implies x =0~~ \text{or}~~ x = -8[/tex]
Step-by-step explanation:
3x² = -24x
Divide through by x
3x = -24
x = -24/3
x = -8
Solve for h.
h - 6 =
=
7
Answer:
h = 13Step-by-step explanation:
Solve for h.
h - 6 = 7
h = 7 + 6
h = 13
------------------
check
13 - 6 = 7
7 = 7
the answer is good
So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.
6+7=13
13-6=7
and h=13
Easy, huh?
find CP when sp=47180 loss=5%
Answer:
The cost price 49,359
Step-by-step explanation:
To find the loss, turn 5% to decimal then multiply it to the selling price
5% = 0.05
47,180 * 0.05 = 2,359
The loss is 2,359.
Now add it to the selling price to find the cost price.
47,180 + 2,359 = 49,539
You have a savings bank account, you have $35.30 in the account to start.
You deposit $17.50. Then you add in another $25 from your birthday.
Then you have to spend $6.99. But then you saved up another $14.75 that
you want to deposit, after all of those transactions what is your current
BALANCE?
Answer: $85.56
Step-by-step explanation:
$35.30 +$17.50= $52.80
$52.80+$25 = $77.80
$77.80-$6.99 = $70.81
$70.81+$14.75 = $85.56
Please help ill mark brainlyst please
Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°