Answer:
8, -8
Step-by-step explanation:
Let's say that x is the larger number,
x - y = 16
y = x - 16
xy = P where P is a minimum
x(x-16) = P.
(We can find the vertex, which is the minimum, by writing it in vertex format)
Completing square:
x2 - 16x = P
x2 - 16x + 64 = P + 64
(x - 8)2 = P + 64.
So,
x = 8 and -8
(8 - -8 -> 8 + 8 = 16)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Roy bought cupcakes for his sister's birthday party. 4 out of the 10 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Solve the following inequality.
3x + 5 < 6x – 1
Which postulate /theorem can you use to prove the two triangles shown are congruent?
WIlL GIVE BRAINLIEST!!!
Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.
Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.
The expressions that can be used to derive the quadratic inequality for the
situation are;
Cost: 10 + xCustomers: 16 - 2·xReasons:
The parameters of the restaurant are;
The charge per buffet = $10
Number of customers that choose the buffet every hour = 16 customers
For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.
The required minimum revenue per hour = $130
Required:
The situation is to be modelled as a quadratic inequality.
Two expressions for the situation, one for the cost and one for the
customers.
Assumption: x = The number of $1 increases in the cost of the buffet
Solution:
The expressions are;
The cost of the buffet for an increase in x dollars is; Cost = 10 + xThe expression for the customers when the cost increases by x amount is; Customer = 16 - 2·xWhich gives;
Cost × Customers = Revenue
The inequality that models the situation is therefore;
(10 + x) × (16 - 2·x) ≥ 130
Which gives;
160 - 20·x + 16·x - 2·x² ≥ 130
160 - 4·x - 2·x² ≥ 130
Learn more about inequalities here:
https://brainly.com/question/10081223
Answer:
Cost: 10 + x
Customers: 16 - 2·x
Step-by-step explanation:
I got it right. Hope this helps.
what is the slope of (16,1) and (17,7)
15 POINTS AND BRAINLIEST, im to lazy and this was do two weeks ago please help.
Answer:
$1.79
Step-by-step explanation:
h + 5f = 8.74 → (1)
2h + 3f = 7.75 → (2)
Multiplying (1) by 3 and (2) by - 5 and adding will eliminate f
3h + 15f = 26.22 → (3)
- 10h - 15f = - 38.75 → (4)
Add (3) and (4) term by term to eliminate f
- 7h = - 12.53 ( divide both sides by - 7 )
h = 1.79
The hamburger cost $1.79
How would you write the quotient with a simplified fraction as a remainder?
Answer:
The answer is B) 851 ÷ 46 = [tex]18 \frac{1}{2}[/tex]
Step-by-step explanation:
851 ÷ 46 = 18.5
[tex]18 \frac{1}{2}[/tex] = 18.5
18.5 = 18.5
Since both are the same result that means that option B is the correct answer.
Kyle had some money.
He spent £12 on a ticket to a football match.
He spent £9.90 on a scarf.
Kyle has two-fifths of his money left.
Work out how much money Kyle had to start with.
solve the equation −4(m+6)=−8
.,........................
What is the constant of proportionality in the equation
Below
Answer:
k = 9/2
Step-by-step explanation:
Constant of proportionality, k = y/x
given: x/y = 2/9
since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2
+ 1 x 4
2-
ax + b
can be written as a single fraction in the form
X2 x + 2
x² - 4
where a and b are integers.
x+ 2 x -
Work out the value of a and the value of b.
[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]
so : a = 3 b = -18
ok done. Thank to me :>
A recipe for 2 dozen cookies uses 300 grams of flour, 250 grams of butter,
and 150 grams of sugar. How much of each ingredient would be required to make 120 cookies?
Flour:
grams
Butter:
grams
Sugar:
grams
please help me i will give brainliest if you get the answer correct!!
the answer is the third option f(2)<g(2)
if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175
Find 3 ratios that are equivalent to the given ratio 3 over 6
What is the area (what is the height)
Answer:
5 i think
Step-by-step explanation:
The trapezoid's height (h) is 4 mm(millimeters).
Formula to calculate a trapezoid's height;
2 x Area ÷ by A(short base) + B(large base)
40.8 divide by 12 pleas find it
Answer:
40.8 ÷ 12 = 3.4
Step-by-step explanation:
---------
The solution of expression 40.8 divide by 12 is, 3.4
The given numbers to divide are,
⇒ 40.8 divide by 12
Let us assume that, a is divided by b,
Then, it can be written as,
⇒ a / b
Hence, We can write as,
⇒ 40.8 / 12
⇒ 408 / 120
⇒ 3.4
Therefore, The solution of expression 40.8 divide by 12 is, 3.4
Learn more about the divide visit:
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Sarah is paid $20 an hour at her new job. She wishes to graph her total pay y, as a function of the
number of hours, x. She wants to be sure her graph shows her pay for 10 and 20 hours of work.
Answer:
see image; 200; 400
Step-by-step explanation:
y=20x
graph
Easy question for some points 2x2-6+4
Answer:
2
Step-by-step explanation:
2 x 2 - 6 + 4
4 - 6 +4
4 - 2
2
what is the unit price of a 24 oz box of cereal price to $3.84
Answer:
$6.25
Step-by-step explanation:
divide the weight by price
Graph the line passing though (-6,-1) whose slope is m= -4/3
y=-4/3x-9
hope it helps
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $2.12 or the 14-ounce box for $2.74?
The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
First, we have to find the price for each ounce.
So for the 10-ounce box:
⇒ 2.12 / 10
Apply the division operation,
⇒ $0.212 per ounce.
Now for the 14-ounce box:
⇒ 2.74/ 14
Apply the division operation,
⇒ $0.19 per ounce.
Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21
Therefore, the 14-ounce box is cheaper at a cost of $2.74.
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A SQUARE RECTANGULAR PRISM (BASE IS A SQUARE) HAS A
VOLUME OF 38 CU. IN. THE HEIGHT IS 10 LESS THAN THE AREA
OF THE BASE. WHAT IS THE HEIGHT? NO UNITS.
The height of the prism [tex]\approx 2.9[/tex]
The whole volume of the prism is
[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]
Here, the volume is 38 cu. in.
From the question, the area and the height are related as follows;
[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]
Substituting this into the formula for the volume, we get
[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]
If the above quadratic equation is solved for the height, we get
[tex]\text{Height}\approx 2.9[/tex]
(We can't take the other solution since height has to be greater than zero)
Another word problem on volume can be found in this link: https://brainly.com/question/17142547
What is the domain and range of the function below
The equation y = -4X -1 Has a slope of _______ possible answer choices: -4,-1, no slope and 0) and a y-intercept of possible answer choices: -4, -1 0 and no y-intercept)_______?
Answer:
slope = - 4 , y- intercept = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x - 1 ← is in slope- intercept form
with slope m = - 4 and y- intercept c = - 1
Answer:
-4 then -1
Step-by-step explanation:
The number behind the x value is the gradient and the last number is the y - intercept.
hi can someone help me....can't get the answer.....you need to find a+b+c+d
Answer:
B) 306°
Step-by-step explanation:
1. Pentagons have a sum of interior angles of 540°
2. Triangles have a sum of interior angles of 180°
3. Knowing that triangle EFA is isosceles, we know that
<FEA = *<FAE, so they are equal to: (180° - <F) /2 = (180° - 36°) / 2
= 144° / 2
= 72°
4. m<A + m<B + m<C + m<D + m<E = 540°
It is also given that **m<D = 90°,
so therefore m<A + m<B + m<C + m<E = 450°
5. Now to find a+b+c+d (m<a + m<b + m< c+ m<d),
m<a = m<E - 72° and m<d = m<A - 72°
This means that
m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°
6. Finally,
m<a + m<b + m< c+ m<d = 450° - 72° - 72° = 306°
EXTRAS
* < is an angle symbol
** m<D means measure of angle D
HELPP LIKE ILL GIVE 25 PTS!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Domain of f(x) ~
[tex] - 6 \leqslant x \leqslant - 1[/tex]
Range of f(x) ~
[tex] - 5 \leqslant x \leqslant - 3[/tex]
Domain of f(x): -6 ≤ x ≤ -1
Range of f(x): -5 ≤ x ≤ -3
A garden swimming pool with a cuboidal shape is 8m long, 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it
The kitchen of a house is of size 15ft x 12ft. Find the cost of tiling the wall at all sides 5 ft from the base at the rate of Rs. 120/sq ft.
Answer:
20400RS
Step-by-step explanation:
Given, Kitchen Size = 15ft * 12ft wall height to be tiled = 5 ft so area of focer walls
= 2* 15+2*5*12
= 150+120=170ft.
Rate is 120/ sq*ft here rate
= 120*170
= 20400RS
What is the greatest common factor of 50, 15, and 10?
Answer:
5
Step-by-step explanation:
you would need to factor each of the number and they are all in the 5 times table
Answer:
GCF = 5
Step-by-step explanation:
Reason being that all are divisible my 5 and 10 cannot be used because it makes a fraction which is not how the GCF can be found.
Math:
50 = 5 * 10 or 25 * 2 or 50 * 1
15 = 5 *3 or 15* 1
10 = 5 * 2 or 10 * 1
Only thing that is the same is 5, thus 5 is the GCF.
(Hurry) guys pls help me, i don’t understand what my teacher taught me
Answer:
Step-by-step explanation:
me too i dont know
Answer:
8 cm≈ 117.6 cm³Step-by-step explanation:
Total surface area:
A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant heightWe are given:
A = 161 cm²Find the value of l:
14l + 49 = 16114l = 112l = 112/14l = 8 cmUse Pythagorean to find the height h of the pyramid:
l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cmFind the volume:
V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³