David had $30 to spend on three gifts.He spent 10 ¼ dollars on gifts A and 5 ⅘ dollars on gifts B.How much money did he have left for gifts C.
Answer: $13.95
Step-by-step explanation:
1/4 of a Dollar is 25 cents
4/5 of a Dollar is 80 cents
30 - 10.25 = 19.75
19.75 - 5.80 = 13.95
David has $13.95 to spend of Gift C
A parabola has its minimum point at (3,-5) and the y coordinate of the y-intercept is -2.
What is the equation of the parabola?
Answer:
y = [tex]\frac{1}{3}[/tex] x² - 2x - 2
Step-by-step explanation:
x-coordinate of the vertex of a parabola is ( [tex]- \frac{b}{2a}[/tex] )
y = f(x) = ax² + bx + c
(x, y) ∈ f(x)
~~~~~~~~~
{ (0, - 2), (3, - 5) } ⊂ { (x, y): y = ax² + bx + c }
a(0)² + b(0) + c = - 2 ⇒ c = - 2
a(3)² + b(3) + ( - 2) = - 5
9a + 3b - 2 = - 5 ⇒ 3a + b = - 1
[tex]- \frac{b}{2a}[/tex] = 3 ⇒ b = - 6a
[tex]\left \{ {{3a+b=-1} \atop {b=-6a}} \right.[/tex]
3a + ( - 6a) = - 1
a = [tex]\frac{1}{3}[/tex]
b = - 2
y = [tex]\frac{1}{3}[/tex] x² - 2x - 2
The equation of the parabola for the given values is y = x²/3 - 2x - 2.
What is a parabola?A parabola is the part of the conic section of which the points are equidistant from a fixed line called as directrix and a fixed point known as focus.
The general equation for the parabola is given as,
y = ax² + bx + c
Where c is the y-intercept.
Substitute c = -2 as per the question to obtain,
y = ax² + bx - 2
At (3,-5) the parabola has minimum value which implies y' = 0 as below,
y' = 2ax + b = 0
Substitute x = 3 to obtain,
2a × 3 + b = 0
=> -6a = b
And, y = -5 at x = 3 which gives,
-5 = 3²a + 3b - 2
=> 9a + 3b = -3
Substitute b = -6a to get,
9a - 18a = -3
=> a = 1/3
Which implies b = -6 × 1/3 = -2
Now, the equation for the parabola becomes as below,
y = x²/3 - 2x - 2
Hence, the required equation of the parabola is obtained as y = x²/3 - 2x - 2.
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A car travels 160 miles in 4 hours. How many miles per hour does the car
travel?
Answer:
40 mph
Step-by-step explanation:
160÷4 = 40 miles per hour
Answer:
40miles per hour
Step-by-step explanation:
distance traveled/time spent=speed(velocity)
160/4=speed (velocity)
40mph
Sally has 2 cats and each cats eats 1/4 tin of cat food every day
Sally buys 9 tins of cat food
For how many days will the cat food feed her 2 cats?
Answer:
18 days
Step-by-step explanation:
Given, Amount of cat food eaten by each cat per day = 1/4 th of a tin
Amount of cat food eaten by 2 cats per day = 1/4 × 2 part of a tin = 1/2 of a tin No. of days 9 tins will last = 9 × 2 = 18
Micheal and his family are at a basketball game. Micheal decides that he is buying. He buys pretzels and sodas. The pretzels cost $3 and the sodas cost $2. His purchase of 5 items totaled $12. How many pretzels and how many sodas did Michael purchase?
Steve earned $7.40 per hour working his paper route. The first week, he worked 16 hours. After getting paid, he put $105 in the bank and spent the rest on rides at the carnival. Each ride cost $0.75. How many rides did Steve ride at the carnival?
Answer:17
Step-by-step explanation: Multiply Steve’s hourly wage ($7.40) by the hours he worked in a week (16 Hours) that would give you your weekly earnings which would be (7.40x16=$118.40) Then subtract what he saved in the bank from your total (118.40-105=$13.40) then you would divide $13.40 (his leftover money) by $0.75 to find the total number of carnival rides he could ride (13.40/0.75=17.86 rides and because he cannot ride 17 and 86 hundredths of a ride he would be able to ride 17 carnival rides.
PLEASE HELP MEEEEEEEE IM BEGGING
Answer:
30 degrees
Step-by-step explanation:
it is 30 degrees
Craig collects stamps. He collected a total of 225 stamps. If 68% of the stamps he collected were foreign, how many other stamps did he collect
Is the mean of 5 negative numbers positive or negative? explain
Answer: Always negative
Determine whether each point is a solution of y = 3x – 8.
a. (0, -8)
b. (6,-10) C. (-2,-2)
d. (4,4)
HELP ILL GIVE BRAINLIEST
Answer:
B and C are not the solution of y=3x-8
A and D are the solution of y=3x-8
Substitute x-values to the equation.
Remember that (x, y).
The table of values shows the height of a buoy compared to the sea floor over time as the tide goes in and out. This can be modeled by a sinusoidal function.
Which statements are true?
Select EACH correct answer
The maximum value of the function is 5.8
The amplitude of the function is 5.8
The period of the function is 24
The frequency of the function is 24
Answer:
1st statement is true
2nd is false (amplitude is (max - min) ÷ 2 so (5.8 - 4.6) ÷ 2 = 0.6)
3rd is true
4th is false (frequency is the reciprocal of period, they can't be the same)
HELP.....to support the high school the local business will donate five dollars for every ticket sold at the homecoming game. If 121 students, 158 home, and 47 visitors tickets were sold, how much money did they donate?
Answer:
2130 but see the note below
Step-by-step explanation:
Remark
It does not matter whether the home team or the visiting team got the support. All that matters is the total number of tickets. Just eye balling it looks like about 1500 dollars.
Equation
Total Donation = 5 * (121 students + 158 + 47)
Solution
Total Donation = 5(426)
Total Donation = 2130
Note:
There is a problem with with. 121 students cannot be included in the 158 or in the 47. If they are, there is no way to be sure what the answer is. I have solved it as though there were 3 separate categories. If that isn't so, you will get it wrong.
(07.08 LC)
The table below shows the values of y for different values of x:
x y
0
0
1
5
2
10
3
15
Answer:
b bro
Step-by-step explanation:
PLANTS The table shows the heights of
sixteen corn stalks.
3. What were the heights of the shortest
and tallest stalks?
Answer: blue, to love me, to nice, to i love you, to be a good boy and suck.
Step-by-step explanation:
hi I am girl
A family had 1/3 of pizza left over. Later 3 people shared the remaining 1/3 equally. What fractional part of the whole pizza did each get
Answer: 1/9 pizza portions
Step-by-step explanation:
The pizza was left with only 1/3 of it and 3 people shared this.
The fractional part of the whole pizza that each of the three people ate is therefore:
= Percentage of who pizza left / Number of people
= 1/3 ÷ 3
= 1/3 * 1/3
= 1/9 pizza portions
Which of these pairs of points defines a line with slope 0? OA) (1, 4) and (-4,4) OB) (4, 1) and (-4, 4) OC) (-1,4) and (4, -4) OD) (4, -1) and (4, -4)
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I took the test on EDGE 2022
plz help me fast Thomas goes out to eat at a restaurant and orders fajitas for $12.95 and orders a soft drink for $1.50. Tax is 7% on his total order, and thomas plans to leave with a 20% tip on the entire bill including tax. How much will his dinner cost including tax and tip.
Answer:
$18.55
Step-by-step explanation:
I added the meal and drink then used a calculator and addded that total plus 7% of it then I added 20% of that to get 18.55
12.95+1.50 = x
x + 7% = y
y+ 20%
ASAP question in the picture
Answer:
try answer C 33ft
Step-by-step explanation:
Write an equation of the circle with center (-2, 6) and radius 7.
Answer:
( x + 2 )² + ( y - 6 )² = 49
Step-by-step explanation:
→ Write the form of an equation of a circle
( x - a )² + ( y - b )² = r²
→ Substitute in the centre remembering to switch the signs
( x + 2 )² + ( y - 6 )² = r²
→ Substitute in radius
( x + 2 )² + ( y - 6 )² = 49
please help i don’t understand
Answer:
18.38Explanation:
since this triangle is a right-angled triangle and one its angles equals 45° then it's an isosceles right triangle which means that the side opposite 45° (the side to the left) is equal to 13 too.
so according to pythagoras theorem c = √(a²+b²)
x =√(13²+13²)
x = √(169+169)
x = √338
x ≈ 18.38
note: in the question it's mentioned to find y! and I believe it is just an error! it's about to find x and that's more resonable!
Solve the equation
90= -20x
Plz help
Answer:
-9/2
Step-by-step explanation:
Answer:
x = -4.5
Step-by-step explanation:
90 = -20x
-90 = 20x
-90/20 = x
x = -4.5
Leave a like and mark brainliest if this helped
yesterday 50 bakery customers muffins and 11 of those customers bought bran muffins if 150 customers buy muffin's tomorrow how many bran muffins will the bakery need to bake
Answer:
33 banana muffins
Step-by-step explanation:
11/50 = x/150
50x=1650
50x/50=1650/50
x=33 !
After 5 years, Marcel's account earned $900 in interest. If the interest rate (in decimal form) is 0.06, how much did Marcel initially invest?
Answer:
$3000
Step-by-step explanation:
I= PRT÷100
where,
I = interest = 900
T= 5
R/100 = 0.06
P = ?
I= PRT/100
900= P × 5 × 0.06
P = 900÷ 0.3
P= 3000
Juan is solving the problem 7 divided by 1/3. What related multiplication fact will he use to solve?
A history teacher is writing a test worth 100 points. She uses multiple-choice questions worth 6 points
each and true/false questions worth 2 points each. She wants the test to have three times as many
multiple-choice questions as true/false questions. Let m represent the number of multiple-choice
questions on the test, and let t represent the number of true/talse questions. Which system of
equations can be used to find how many each type of question she should write?
6m + 2t = 100
m=t+3
6m + 2t = 100
m = 3t
3m+t=100
m=31
6m + 2t = 100
t = 3m
Answer:6m + 2t= 100
t=3m
Step-by-step explanation:
Thank you so much :)
Answer:
b
Step-by-step explanation:
Please help i need this
Answer:7
Step-by-step explanation:
1. Which expression is equivalent to 6(2y – 5)?
A. 12y - 5
B. 5 - 12y
C. 12y – 30
D. 30 - 12y
Answer:
C. 12y - 30
Step-by-step explanation:
6 * 2y = 12y
6 * -5 = -30
12y - 30
PLEASE CLICK THE INAGE I NEED HELP PLEEEAAASSSE!!!
Answer:
Question 3: There are 12 boys in the class.
Question 4: 120 cookies were not oatmeal raisin.
Question 5: Target offers the best deal.
Step-by-step explanation:
If the ratio of girls to boys is 3:2, and there are 18 girls, that means there will be [tex]\frac{18}{3}[/tex] * 2 = 6 * 2 = 12 boys.
Because there are 200 cookies total, and [tex]\frac{2}{5}[/tex] of them are oatmeal raisin, that means that [tex]\frac{3}{5}[/tex] of the cookies aren't oatmeal raisin. 200 * [tex]\frac{3}{5}[/tex] = 40 * 3 = 120 cookies that aren't oatmeal raisin.
The cookies at Kroger have a unit rate of $0.45 per cookie, the cookies at Meijer have a unit rate of $0.50 per cookie, the cookies at Walmart have a unit rate of $0.38 per cookie, and the cookies at Target have a unit rate of $0.20 per cookie. So Target has the better buy.
Pls help! I am really stuck.
Find the domain of this graph.
Answer:
8
Step-by-step explanation:
The domain is from the points (-4,0) through (4,0).
