Answer:
x = 65, y = 25Step-by-step explanation:
Given system of linear equations:
x + y = 90 2x - y = 105Add up the equations to eliminate y:
x + 2x = 90 + 1053x = 195x = 65Find y:
y + 65 = 90y = 90 - 65y = 25The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week. About how many gallons of milk does the class drink in 10 weeks? Round your answer to the nearest tenth of a gallon if needed.
262.5 gallons of milk does the class drink in 10 weeks.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week.
as, we know that
1 pint= 0.125 Galloon
So, 210 pints milk = 210 x 0.125 = 26.25 Galloon
Then, In 10 weeks amount of milk drink
= 26.25 x 10
= 262.5 Gallon
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6
Answer:
x=0 ,y=6
Step-by-step explanation:
solve for the first variable in one of the equations
The angle of elevation to a nearby tree from a point on the ground is
measured to be 38°. How tall is the tree if the point on the ground is 77 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.
Answer:
Step-by-step explanation:
tan 38 = opp/adj = h/77
h = 77tan38
h = 60.1589932...
h = 60.2 ft
A mechanic is paid $61,490 in salary for a year. Assuming there are 26 pays in a year, what is her biweekly (average) salary? $30,745 $3,074.50 $1,182.50 $2,365
Answer:
$2,365
Step-by-step explanation:
Divide $61,490 by 26...
The chart shows the sizes and prices of different sized boxes of Alex's favorite cereal.
Step-by-step explanation:
Compare the rates
Whichever has the smaller rate is the best deal.
remember, to be able to compare both cereal boxes they must have the same unit of measure (grams with grams, ounces with ounces, etc.)
Answer:
Price of box of cereal #1
---------------------------- = $ per ounce(or other unit)
Size of box #1 (in ounces,
or some other unit)
8 to the 2 power-28/4+2?
Answer:
59
Step-by-step explanation:
hope it helps brainliest pls
help guys HURRY!!! plsss! :D
Answer:
B. x+240=425
Step-by-step explanation:
I need a lot of help
Answer:
lol wat r u doing .........
Natalie walked
3
5
mile in
1
2
hour. How fast did she walk, in miles per hour?
A.
5
6
miles per hour
Answer:
7 miles / hour
Step-by-step explanation:
I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.
Givens
d (distance ) = 3.5 miles
t (time) = 1/2 hour
r (rate) = ?
Formula
r = d/t
Solution
The easiest way to do this is to change the fractions to decimals.
t = 1/2 = 0.5 hours
r = 3.5 / 0.5
r = 7 miles per hour.
Just list all of the possible answers
Answer:
what grade are you??........
Answer:
8th idea I'm sorry. uhhhhhhhh just wait not
At the local ballpark, the team charges $5 for each ticket and expects to make $1,500 in consessions. The team must pay its players $2,200 and pay all other workers $1,500. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?
A - 275 B - 1100. C - 2600 D - 440
Answer:
B - 1100 tickets
Step-by-step explanation:
Fixed costs appear to be ...
$2,200 +1,500 = $3,700
The amount of cost that is not covered by concession income is ...
$3,700 -1500 = $2,200 . . . . remaining cost
The contribution margin per ticket is apparently ...
$5 -3 = $2
So, the number of tickets that must be sold to cover the remaining cost is ...
$2200/($2/ticket) = 1100 tickets
y=x-5 find the four points in the inverse
Daniel made 32 ounces of soup for 5 people. How many ounces will each person get?
Answer:
6.4 ounces
Step-by-step explanation:
If there are 32 ounces total, you can divide the total by the number of people to get the amount of soup each person gets.
32 / 5 = 6.4
Answer: If there's a remainder, then it's 6 with a remainder of 2
If it's a decimal (depends on what grade your sister's in), it's 6.4
If it's a fraction (again, depends on what grade your sister's in), it's 6 2⁄5
Step-by-step explanation:
32÷5=6r2, 6.4, or 6 2⁄5
9 + 6 + 5+ 15
Is that
Simplify completely
(192x^12/3x^3)^1/3
Show all work for full credit
Answer and Explanation: The answer and explanation is in the image.
Henry jumped up 6 steps. Each step was 3/10 feet high. How high did he jump all together (in simplest form)
Answer:
1.8 or 14/5
Step-by-step explanation:
HENry MuST Be A KaNGaRoO
Answer:
Step-by-step explanation:
Multiply "3/10 ft high per step" by "6 steps." This works out to:
18/10 ft was the highest that this young man jumped.
This reduces to 9/5 ft, or 1.8 ft
Given that f(x) = 4x V3x + 3 and g(x) = 2vx + 1, find x(*)(). х Ox3 20x +3 OxVx+3 +3 O 2x 73
Answer: The answer is the last option, Option D.
House of Mohammed sells packaged lunches, where their finance department has established a
weekly relationship between its Revenue R, in dollars and the number of lunches x, as R=x(82−x)
(a) Write the revenue R, in the form R=ax2+bx+c (b) What is the revenue when 35 lunches are sold? (c) Explain why the graph of R has a maximum.
(d) Write R in the form a(x−h)2+k
(e) How many lunches must be sold for them to achieve their maximum revenue?
(f) State the company's maximum revenue.
(2 marks) (2 marks) (2 marks)
(5 marks)
(2 marks) (2 marks)
(g) Complete the following table of values and graph the Revenue equation using the ordered pairs
(x , R). Label the coordinates of the vertex.
x
10
20
30
40
50
60
70
80
90
R
( 10 marks)
The revenue function is a quadratic equation and the graph of the function
has the shape of a parabola that is concave downwards.
The correct responses are;
(a) R = -x² + 82·x(b) $1,645(c) The graph of R has a maximum because the leading coefficient of the quadratic function for R is negative.(d) R = -1·(x - 41)² + 1,681(e) 41(f) $1,681Reasons:
The given function that gives the weekly revenue is; R = x·(82 - x)
Where;
R = The revenue in dollars
x = The number of lunches
(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;
R = x·(82 - x) = 82·x - x²
Which gives;
R = -x² + 82·xWhere, the constant term, c = 0
(b) When 35 launches are sold, we have;
x = 35
Which by plugging in the value of x = 35, gives;
R = 35 × (82 - 35) = 1,645
The revenue when 35 lunches are sold, R = $1,645
(c) The given function for R is R = x·(82 - x) = -x² + 82·x
Given that the leading coefficient is negative, the shape of graph of the
function R is concave downward, and therefore, the graph has only a
maximum point.
(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;
(h, k) = The vertex of the equation
a = The leading coefficient
The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;
R = x·(82 - x) = -x² + 82·x
At the vertex, of the equation; f(x) = a·x² + b·x + c, we have;
[tex]\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}[/tex]
Therefore, for the revenue function, the x-value of the vertex, is; [tex]\displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}[/tex]
The revenue at the vertex is; [tex]R_{max}[/tex] = 41×(82 - 41) = 1,681
Which gives;
(h, k) = (41, 1,681)
a = -1 (The coefficient of x² in -x² + 82·x)
The revenue equation in the form, a·(x - h)² + k is; R = -1·(x - 41)² + 1,681(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41
Therefore;
The number of lunches that must be sold for the maximum revenue to be achieved is 41 lunches(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681
The maximum revenue of the company is $1,681Learn more about the quadratic function here:
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Find the perimeter of the figure.
[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]
[tex]perimeter = 72 \: \: cm[/tex]
BRAINLIEST IF CORRECT! (pls no links it rlly annoying)
looking at the picture, the region AB is where the inequality of f(x) overlaps the inequality g(x), so if we pick any point on that blue region AB, then f(x) will be TRUE and g(x) will also be TRUE, lemme narrow it down some, let's pick the point on AB of say (0,0), namely x = 0 and y = 0
let's try the 1st set
0 ⩽ - 2(0) + 3
0 ⩽ 3 <--- is that true? well yes, zero is less or equals, actually less than 3
0 ⩽ 0 + 3
0 ⩽ 3 <--- is that true? yes it's
let's try the 2nd inequalities set with the same values for "x" and "y"
0 ⩾ -2(0) + 3
0 ⩾ 3 <--- is that true? nope, no dice
let's not bother checking the other, since it already gave FALSE
let's try the 3rd inequalities set, same values
0 ⩽ -3(0) + 2
0 ⩽ 2 <--- is that true? yeap
0 ⩽ -(0) + 2
0 ⩽ 2 <---- is that true? yeap
not to bother you with the 4th set one, the 4th one fails and gives FALSE
so we know the 1st and 3rd one give TRUE on for f(x) and g(x), so which one is it?
take a peek at the picture below, notice the rise and run and therefore the slopes for each, g(x) has a slope of 2/2 = 1, and f(x) has a slope of 3/1 = 3, both going downwards, so both are negative, namely -1 and -3.
that means that g(x) will look like -1x + something, or -x + something.
and means that f(x) will look like -3x + something.
so that means the only set with those slopes will be [tex]\begin{cases} y\leqslant -3x + 2\\ y \leqslant -x + 2 \end{cases}[/tex]
HURRY PLS!
Evaluate if a= 4 and b=7
28÷ b+7
A. 14
B. 11
Step-by-step explanation:
Hi, I think correct variant is B
(28÷7)+7=4+7=11
What is the area of this figure?
3 mm
4 mm
13 mm
what’s the area of this figure?
12 mm
4 mm
15 mm
8 mm
10 mm
.
Write your answer using decimals, if necessary.
2/3 divided by 10
PLEASE answer
Answer:
1/15
Step-by-step explanation:
2/3 x 1/10 = 2/30 or 1/15
Answer:
1/15
Step-by-step explanation:
At the movie theatre, child admission is $5.50 and adult admission is $8.90. On Friday four times as many adults tickets as child tickets were sold, for a total sales of $986.40. How many child tickets were sold that day?
Answer:
You can use grouping, quantity and value to solve this question.
Child admission = $5.50
Adult admission = $8.90
Friday sales (Quantity):
Child = x
Adult = 4x
Total sales = 5x
Friday sales (Value):
Child = $5.50
Adult = 4 × $8.90
= $35.60
Total sales = $986.40
1 group = $5.50 + $35.60
= $41.10
Number of groups = $986.40 ÷ $41.10
= 24
The number of child tickets sold is 24.
6.
In a decorative figurine shop, it takes of an hour to paint 8
identical ceramic figurines. How long does it take to paint one
figurine? At the same rate, how long would it take to paint 12
figurines?
The time it would take to paint one figurine is 0.125 hour.
The time it would take to paint 8 figurine is 1.5 hours.
The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.
Average rate = 8 /1 = 8 figurines / hour
In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.
1 / 8 = 0.125 hour
In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.
12 / 8 = 1.5 hours
A similar question was answered here: https://brainly.com/question/11967364
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3
Answer:
C
Step-by-step explanation:
Color The paint buckets to show the parts and then write the numbers to tell how many of each Freddy has 10 paint buckets he fills some with purple paint he fills the others with red paint how many does he fill with with each other
Is there more to the question that we are missing cause i need a little more for it to make sense
I need help please I'll give you 25 points
Answer:
t = 11/21
Step-by-step explanation:
Hope this helps!!
Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.
Answer:
Step-by-step explanation:
C = π d
3.14 d = 34.54
d = 11 yards
Answer:
Step-by-step explanation:
C = πD
D = C/π
D = 34.54 / 3.14
D = 11 yards
