Answer:
4.2 gallons
67.2 cups
Step-by-step explanation:
He had 3 gallons of punch.
He added another 1.2 gallons.
The number of gallons of punch he has now is:
3 + 1.2 = 4.2 gallons
1 gallon = 16 cups
=> 4.2 gallons = 4.2 * 16 = 67.2 cups
He has 67.2 cups
The value of a painting can be predicted by the expression 120(1.08)t, where t is the number of years since 2014.
What does the value 120 represent?
1. the predicted value of the painting in 2014
2. the predicted change in the value of the painting each year
3. the predicted percent change in the value of the painting each year
4. the number of years for which the value of the painting is predicted to continue changing
Answer:
1. the predicted value of the painting in 2014
Step-by-step explanation:
In the expression, 120 represents the initial value of the painting.
In expression [tex]120(1.08)^t[/tex], t is the number of years since 2014, and 120 represents the predicted value of the painting in 2014.
Exponential growth occurs if a quantity increases by the same factor over equal intervals of time and if a quantity increases by the same factor over equal intervals of time then it is said to be exponential decay.
a) Expand and simplify (4x + 3)(2x - 5)
(2)
+
b) Factorise x2 + 5x + 6
(2)
Total marks: 4
Answer:
a. [tex]8x^{2} -14x-15[/tex]
b. [tex](x+3)(x+2)[/tex]
Step-by-step explanation:
A. There are 3 methods (that I know of). The easiest method is the lattice multiplication, while the most commonly used is the FOIL method (First+Outer+Middle+Last)
For F, take the first terms of the 2 and multiply
[tex]4x*2x=8x^{2}[/tex]
For O, take the outer terms and multiply
[tex]4x*-5=-20x[/tex]
For I, take the inner terms and multiply
[tex]3*2x=6x[/tex]
For L, take the last terms and multiply
[tex]3*-5=-15[/tex]
After that, add all of them up
[tex]8x^{2} +(-20x)+6x+(-15)=8x^{2}-14x-15[/tex]
B. Since the equation is in the form x^2+bx+c,
[tex](x+?)(x+?)[/tex]
Now we need to find 2 numbers that will add up to 5 and multiply to 6.
Here are some of the combinations of numbers that multiply to 6
3*2
1*6
-3*-2
-1*-6
3 and 2 add up to 5 so:
[tex](x+3)(x+2)[/tex]
what is the measure of B
Answer:
m<B = 44
Step-by-step explanation:
Since AB is a diameter, then angle C is a right angle.
That makes angles A and B complementary angles.
m<A + m<B = 90
46 + m<B = 90
m<B = 44
Answer:
B = 44
Step-by-step explanation:
The sum of the angles of a triangle is 180
A + B+ C = 180
<C = 90 since it is 1/2 of the intercepted arc which is 180
46+ B + 90 = 180
136 + B = 180
B = 180-136
B =44
Plz help...
I’m offering 10 pts
Answer:
B._________________________
Got a fairly simple looking system of equations, 2k+4y=20, and 3x+6y=30 Don't understand how to prove what values of k provide - 1 solution - no solutions - and many solutions
Answer:
2kx+4y=20 ⇒ kx+2y=10
3x+6y=30 ⇒ x+2y= 10
k is the coefficient of x, so it is the slope of the line
when k=1, both equations will be same, then there are many solutionswhen k=0 there is one solutionwhen k is anything different, then the lines will be parallel, so no solutionsIn a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left
Answer:
97.96 cm
596.14 cm²
Step-by-step explanation:
sides become:
30 cm ⇒ 16 cm25 cm ⇒ 11 cmand added corners:
4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cmthen perimeter is:
P= 2*16+2*11+43.96= 97.96 cmthe area left is:
A= 30*25- 4*1/4*3.14*7²= 596.14 cm²Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are drawn from point B to points A and D to form 3 triangles within the larger triangle. Angle C B D is 125 degrees. The length of line segment A C is 52 centimeters and the length of line segment B D is 29 centimeters. If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options. m∠ABC = 125° and AB ≅ DB ΔACD is isosceles with base AD ΔABD is isosceles with base AD CD = 52 cm AB = 29 cm
Answer:
it's A B D i don't know why the other person couldn't have just said that and make it look confusing
Answer:
A< B< D
Step-by-step explanation:
What is the general form of the equation of a circle with center at (a, b) and radius of length m? A. x2 + y2 − 2ax − 2by + (a2 + b2 − m2) = 0 B. x2 + y2 + 2ax + 2by + (a2 + b2 − m2) = 0 C. x2 + y2 − 2ax − 2by + (a + b − m2) = 0 D. x2 + y2 + 2ax + 2by + a2 + b2 = -m2
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (a, b) and r = m , thus
(x - a)² + (y - b)² = m² ← in standard form
Expand the factors using FOIL and rearrange
x² - 2ax + a² + y² - 2by + b² = m² ( subtract m² from both sides )
x² + y² - 2ax - 2by + (a² + b² - m² ) = 0 ← in general form → A
Answer:
It's option A for plato
Step-by-step explanation:
A. x^2 + y^2 − 2ax − 2by + (a^2 + b^2 − m^2) = 0
Autumn is working two summer jobs, making $16 per hour tutoring and making $12 per hour landscaping. In a given week, she can work no more than 17 total hours and must earn at least $240. If Autumn worked 3 hours landscaping, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
13,14
Step-by-step explanation:
t = tutoring
l = landscaping
16t+ 12l ≥240
t+l ≤17
We know that she worked 3 hours landscaping
l =3
t+3≤17
t ≤14
16t+ 12*3 ≥240
16t + 36 ≥240
Subtract 36 from each side
16t ≥204
Divide each side by 16
t ≥204/16
t ≥12.75
We know that
12.75 ≤t≤14
She has to work whole hours
13,14
100 Points competitions and whoever finishes this gets 100 points. (ON THE TOP OF QUESTION 12 IS ANSWERS QUESTION ANSWERS TO QUESTION 11 TOO!)
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6)I am so sorry I have no clue
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
I hope this helps.
Answer:
1)25%
2)likely
3)1/4
4)46
5)10%
6) second choice
7)1/4 or 1/12
8)1/8 or 1/12
9)80%
10)80%
1/15
Step-by-step explanation:
Last year, there were “x” students in the Math Club, but this year, there was a 40% increase in membership. Represent this year’s membership in terms of “x”.
Answer:
(x)1.4=Y
Step-by-step explanation:
40% increase of memeber so ita 140% of X
According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.
Will mark brainiest!
Answer: The answer is D
Step-by-step explanation:
If you read all the answers only D is true
Answer:
Its C. Trust me
Step-by-step explanation:
I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.
11.A bus is going with speed of
18 m/s and suddenly bus driver
applied a break and it takes 3
second to stop completely.
Find out the value of
acceleration. *
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Answer:
-6m/s^2
Step-by-step explanation:
State your knowns
s=Not required
u=18m/s
v=0m/s
a=?
t=3 seconds
(by the way this is more a physics question)
Find an applicable suvat equation
v=u+at
Rearrange the equation
v-u=at
(v-u)/t=a
Substitute values
(0-18)/3=a
Evaluate
a=-6
State the answer
The value of acceleration is -6m/s^2
Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account.
Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.
451.89 minus c = 358.92
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
c = 3 (451.89 minus 358.92)
for ed, it should be:
B
C
D
if not, then idk what happened
The equations that represents the amount of one check are:
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
What equation represent the amount of one check?The equation that represents the amount of one check is:
Total amount in the account - total value of 3 checks = amount left
Total amount in the account - amount left = total value of 3 checks
Value of one check = (total amount in the account - amount left) / 3
$451.89 - 3c = $358.93
$451.89 - $358.93 = 3c
($451.89 - $358.93) / 3
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
WILL GIVE BRIANLIEST FOR THE FIRST ANSWER! The solution to an equation is [tex]n=-5[/tex]. The equation has parentheses on at least one side of the equation and has variables on both sides of the equation. What could the equation be?
Answer:
1*2(3-2n) = 2(n-2)
Thanks for giving question. I am working my way up to brainliest and Master Answerer
Find the volume of prism
Pls!! Show how you got the volume pls
the slope of the line below is -2. which of the following is the point-slope form of the line? 4, -8
Answer:
D
Step-by-step explanation:
Point: (4,-8)
Slope: -2
y-y1=m(x-x1)
y+8=-2(x-4)
Please help! Correct answer only!
Dillon and some of his friends are going rock climbing this weekend. In preparation, Dillon purchased 8 sports drinks to bring, including 6 lime flavored drinks.
If Dillon randomly chooses to place 4 drinks in the red cooler, what is the probability that all of them are lime flavored?
Write your answer as a decimal rounded to four decimal places.
Answer:
The answer will be 0.75 chance of all of them being to together
Step-by-step explanation:
I think hope this helps ;)
Given f(x) = 4x3 − 12x2 + 40x + 12, find f(–2).
Hey there! :)
Answer:
f(-2) = -148.
Step-by-step explanation:
To calculate f(-2), simplify substitute -2 for x in the equation. Therefore:
f(x) = 4x³ -12x² + 40x + 12
Becomes:
f(-2) = 4(-2)³ - 12(-2)² + 40(-2) + 12
Simplify:
f(-2) = 4(-8) - 12(4) - 80 + 12
f(-2) = -32 - 48 -80 + 12
Finally, you get:
f(-2) = -148.
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. 100 points!!!
Step-by-step explanation:
4 × 11 = 44
44 × 9 = 396
therefore it is 396ft
Answer:
4 x 11 = 44
44 x 9 = 396
It will be 396 ft
Step-by-step explanation:
Help me for 5 points
Answer:
12
Step-by-step explanation:
[tex]-3\sqrt{16(4)}+2\sqrt{4(9)^2}=\\\\-3\sqrt{64}+2\sqrt{324}=\\\\-3(8)+2(18)=\\\\-24+36=\\\\12[/tex]
Hope this helps!
please help me I’m struggling :( , sorry about it being sideways.
2/ 7 − 2/15 = ____ solve ?
Answer:
16/105
Step-by-step explanation:
2/7 - 2/15 = 16/105
The answer is 16/105
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan sent 4 times as many messages as Scott . How many messages did they each send?
Answer:
number of message sent by Scott is 23
number of message sent by Christine is 30
number of message sent by Milan is 92
Step-by-step explanation:
Total message sent by Christine,Milan, and Scott : 145
Let number of message sent by Scott be x .
Given that Christine sent 7 more messages than Scott
number of message sent by Christine is x+7
It is also given that Milan sent 4 times as many messages as Scott
number of message sent by Milan is 4*x = 4x.
Thus, sum of message sent by Christine,milan, and Scott in terms of x
= x + x + 7 + 4x = 6x + 7
we already know that Total message sent by Christine,milan, and Scott is 145
thus, 6x + 7 should be equal to 145
6x + 7 = 145
=>6x = 145 - 7 = 138
=> x = 138/6 = 23
Thus,
number of message sent by Scott is x = 23
number of message sent by Christine is x+7 = 23+7 = 30
number of message sent by Milan is 4x = 4*23 = 92
Can u please answer this question in the picture below or above I guess
Answer: B. 72ᴼ alternate exterior angles theorem
Step-by-step explanation:
Alternate exterior angles because they’re angles on the outside of the transversal.
Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ
omg...I don't get this, pleases help me..anybody??
Answer:
Step-by-step explanation:
ok so I’m not sure this is right by they didn’t give u. The answer choices to make it easier but I got 0.5 or 1/2 but also if u do 13-8=5 so I would really wouldn’t be so sure on thatDavid correctly factored the expression m2 -12m - 64 which expression did he write ?
1. (m - 8)(m - 8)
2. (m - 8)(m + 8)
3. (m - 16)(m + 4)
4. (m + 16)(m - 4)
Answer:
Step-by-step explanation:
Hints: look at the last term (-64) and the middle term (-12m).
Note that 64 is the product of 4 and 16, and that -4(16) = -64 or (-16)(4) = -64. the last term of thh given expression. Furthermore, if we look at the composition of the middle term (-12m), we realize that 4 - 16 = -12 must lead towards a solution.
Focus on possible Answer 3: Here -16m + 4m = -12m (which is what we'd hoped for, matching the middle term of the given expression.
Then m^2 - 12m - 64 = (x - 16)(x + 4) (Answer 3)
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
12 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 6 so the radius is d/2 = 6/2 = 3
108 pi = pi (3)^2 h
108 pi = 9pi h
Divide each side by 9pi
108 pi /9pi = 9pi h/9pi
12 = h
Answer:
12cm in height
Step-by-step explanation:
Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another group of sponsors plans to donate $75 no matter how long she dances. Traci plans to dance until she has raised at least $1,200. Let h represent the number of hours that Traci dances. Write and solve an inequality to determine the minimum number of hours that Traci needs to dance in order to raise $1,200.
Answer:
36h + 75 < 1200
solve:
36h + 75 = 1200
36h = 1125
h = 1125 divided by 36 = 31.25.
Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200
Which expression is NOT equivalent to this
expression? 11y - 5
A 88y - 40
© 19y - 3
D 22y - 10
B 5y - 11
Answer:
A. 88y -40
Step-by-step explanation:
B is definitely equivalent to 11y-5 because it is reversed so it is the same if it is reversed. and D is equivalent too because 11 divided by 5 equals 2.2 same thing as 22 in this case. and C im not that sure about but i do not think that that is not equivalent...and A. is the answer is NOT equivalent because how the heck do u get 88y-40???????? the answer that is not equivalent is A. 88y-40
Hope this explained well :)
