Answer:
48 ounces of seltzer water
Step-by-step explanation:
From the question, we are told that:
Rafiq is making a fruit punch using 48 ounces of grape juice and some seltzer water.
He wants to make 10 equal servings that are at least 9 ounces each.
The total number of ounces that he want so have is at least
= 10 × 9 ounces = 90 ounces
Should he add 32 ounces of seltzer water or 48 ounces of seltzer water?
Let the number of ounces of seltzer water that he wants to add = x
At least = More than or equal to which is represented by inequality sign = ≥
Hence:
48 ounces of grape juice + x ounces of seltzer water ≥ 90 ounces
48 + x ≥ 90
x ≥ 90 - 48
x ≥ 42 ounces of seltzer water
From this calculation, the least amount of seltzer water he can add is 42 ounces.
Therefore, Rafiq should add 48 ounces of seltzer water
Find the 14th term of the geometric sequence 2, 6, 18,
The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...
If 2 is a_0, 6 is a_1, 18 is a_2, etc.
a_n=2*3^n
For the 14th term, which is a_13, the value is 2*3^13.
Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.
3188646
The required 14th term will be 3188646 in the given geometric sequence.
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
The geometric sequence is given in the question, as follows:
2, 6, 18,...
We have to determine the 14th term of the given geometric sequence.
As per the given geometric sequence,
The first term a = 2.
The common ratio r = 6/2 = 3
14th term = arⁿ⁻¹
Substitute the value of a = 10, r = -2, and n = 12 in the formula,
14th term = 2(3)¹⁴⁻¹
14th term = 2(3)¹³
14th term = 2(1594323)
14th term = 3188646
Thus, the required 14th term will be 3188646.
Learn more about geometric sequence here:
brainly.com/question/21087466
#SPJ2
Please Help!!!
Jada's sister earns a commission. she makes 3.5% of the amount she sells. Last week she sold 9,000$ worth of furniture. How much was her commission?
Given the equation x+y=20 and x-y=8,which values of x and y satisfy both equations
Answer:
x=14 y=6
Step-by-step explanation:
This is me eont answer the question it's so it doesnt get taken down. What's the square root of 26.7?
Answer:
10000000000000000000000
Step-by-step explanation:
The length of a rectangle is twice the width. The area is 8 yd^2. Find the length and the width.
Answer:
width be x
length = 2x
Area = L*W
x*2x =8
Step-by-step explanation:
Study lamps are packed 2 in a carton. The dimensions of the carton are 2.5 feet by 1.25 feet by
1.75 feet. The Supply Store wants to order 200 pairs of lamps. How much storage space will the
Supply Store need to store the lamps?
Answer:
hahahhahahahahahahahahahahahaha
simplify 2x+1+3x+2 iohehtorgewiugfegvtwqugfewiufyvayu
Answer:
5x+3
Step-by-step explanation:
Тc, d) - Ta, b)
Can it be described by a single translation rotation or reflection
Answer:
Reflection
Step-by-step explanation:
Ralph’s annual income is about $32,000. Based on his expenses illustrated in the graph below, roughly how much should Ralph expect to pay in taxes this year?
A circle graph titled Ralph's Annual Expenses. Federal taxes, 29 percent; State/local taxes, 6 percent; Housing and household, 25 percent; Food, 8 percent; Medical care, 11 percent; Transportation, 7 percent; Recreation, 6 percent; Clothing, 5 percent; Other, 3 percent.
a.
$1,920
b.
$8,000
c.
$9,280
d.
$11,200
Please select the best answer from the choices provided
A
B
C
D
Answer:
$11200
Step-by-step explanation:
not that smart i hope u get i t right :)
Answer:
c
Step-by-step explanation:
graph the linear equation y = -2x + 3
Answer:
What I uploaded as a file
Please help me!
STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x, find x and the measure of each side.
Answer:
x = 12Side = 23 unitsStep-by-step explanation:
STU is an equilateral triangle. And:
ST = 2x - 1SU = 5x - 37TU = x + 11All sides are equal. Then take one pair and solve for x:
2x - 1 = 5x - 373x = 36x = 12Substitute x to find the side length:
2x - 1 = 5x - 37 = x + 11 = 23Hxhdnchdhxhdhdd helppppppp
Answer:
D.
Step-by-step explanation:
Sam has already worked for 27.7 hours this week. He washes cars, and can wash a car in 2.5 hours. He wants to work over 60.2 hours this week.
The question is incomplete ; we could calculate the least number of cars he can still wash for the week expressed in inequality form.
Answer:
x > 13 ; 13
Step-by-step explanation:
Given that :
Anticipated work hour for entire week = 60.2 hours
Hours worked = 27.7 hours
Rate of car wash = 2.5 per hour
Hours left to work for the week :
60.2 - 27.7 = 32.5
Hours left / unit rate of car wash
32.5 / 2.5
= 13
Hours worked +( hours left * unit rate) > anticipated hours
27.7 + 2.5x < 60.2
2.5x > 60.2 - 27.7
2.5x > 32.5
x > 32.5 / 2.5
x > 13
Hence ; Sam could still wash over 13 cars this week
During Gabrielle's summer vacation, she ate 20% of her meals in the hotel restaurant.
She ate 4 meals there.
Shade the grid to show the percent of Gabrielle's meals that she ate at the hotel restaurant.
How many total meals did Gabrielle eat on her vacation? You can use your model to help.
meals
Submit
Work it out
Answer:
Step-by-step explanation: 30%
Hey i really need help with this question im having trouble and it would be greatly appreciated if someone could help me
Answer:
m=s+0.50
3m+2s=23.95
Step-by-step explanation:
Answer:
m-s+0.50
3m+2s=23.95
Step-by-step explanation:
the first one is defining m in terms of S
the second is solving
I know they didn't ask but here is the solution:
so in this case you would replace 3m with 3(s+0.50)
Decide whether the two expressions are equivalent for each problem below.
If they ARE equivalent, explain why.
If they ARE NOT, provide the reason why the two expressions are not equivalent.
A) -8(x+7) and -8x-7
B) 6x and 4x+2
C) 15-4x and - 4x +15
D) 7(x+10) and 7x+70
HELP ASAP WILL MARK BRAINLIEST
Answer:
6 ride passes
4 additional items
Step-by-step explanation:
11.
[tex]T=5.50R+10*7.25[/tex]
[tex]for T=105.50[/tex]
[tex]R=6[/tex]
While
T is total cost.
R number of ride passes.
12.
[tex]T=1.25n+4.75[/tex]
[tex]for T=9.75[/tex]
[tex]n=4[/tex]
While
T is total paid.
n is number of addition items.
46 decreased by twice the number
-46
Hope this helps!
May I please have brainliest? :D
2x-46
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Evaluate: log6 1,296
Answer:
4
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex] then
let [tex]log_{6}[/tex] 1296 = n
1296 = [tex]6^{n}[/tex] = [tex]6^{4}[/tex] , thus
n = 4
What two variables are used most often in 2-variable equations?
3
8 If xty 10 and - y = 6. What is the value of x
-y² ?
(.520 d-520
a 604
b. 504
Answer:
je sais pas miskine eu débrouille.toi demande à ton papa de t'aider ne pleure pas stp si pleure tu fera moins pipi au lit bisous
Solve for n. -4n + 7 = 1 – 2n
Answer:
n = 3
Step-by-step explanation:
subtract 1 from both sides to get:
-4n + 6 = -2n
then add 4n to both sides to get:
6 = 2n
then divide both sides by 2 to get:
3 = n
Help please thank you
Given the side lengths determine if the following triangles exist, if they do classify
them by angle measure.
12, 13,5
A.No
B.yes right
C.yes acute
D.yes obtuse
Answer:
no
Step-by-step explanation:
no
The measure of central angle RST is tt radians.
What is the area of the shaded sector?
O 411 units?
O 8 units?
O 16 units
O 2011 units?
The area of the shaded sector is [tex]8\pi[/tex] square units
The area of a sector is calculated using:
[tex]A = \frac{\theta}{2}* r^2[/tex]
So, we have:
[tex]A = \frac{\pi}{2}* 4^2[/tex]
Evaluate the exponent
[tex]A = \frac{\pi}{2}* 16[/tex]
Evaluate the quotient
[tex]A = 8\pi[/tex]
Hence, the area of the shaded sector is [tex]8\pi[/tex] square units
Read more about sector areas at:
https://brainly.com/question/22972014
what is 4w = -20 can someone please help me with this question
Answer:
w=−5
Step-by-step explanation:
Answer: w = -5
Step-by-step explanation:
use the image below to answer questions 8-9
rhombus JKLM
8. find the measure of angle 1
9. find the measure of angle 2
Answer:
Angle 1=42.5
Angle 2=95
PLEASE HELP
let f be the function defined by f (x) = 3x^2 - x^3. what is the absolute value of f on the closed interval [ 1, 5/2 ]
Answer:
2
Step-by-step explanation:
As per the interval, x = 1 and y = 5/2
Substitute x into the expression:
3 - 1 = 2
The function ƒ(x) = is reflected across the x-axis and vertically stretched by a factor of 2. Select the correct graph for the resulting function.
Answer:
There is no graph that you have put to answer your question
Step-by-step explanation:
Answer:
it's not this two that what i put and got it wrong
Step-by-step explanation:
What is the slope intercept ?
Please help me !!
Answer:
y=mx+b
Step-by-step explanation:
Answer:
slope=3, y-intercept=1
Step-by-step explanation:
slope is rise/run, so if you rise 3 and run 1 on the line, you get 4 for the slope, the y intercept is where the line crosses the y-axis, in this situation, it crosses it at (0,1).