The length of time needed for the dough to last if 40 pizzas is required is 4 hours.
Inverse variationlet
length of time = lnumber of pizza = pl = k / p
where,
k = constant of proportionality
If l = 5 and p = 32
l = k / p
5 = k / 32
5 × 32 = k
160 = k
Find l when p = 40
l = k / p
l = 160/40
l = 4 hours
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16. Farhan bought a bag and a wallet at a discount from a store. He was
given a discount of 30% for the bag. For the wallet, a discount was also
given. He saved a total of $66.60.
He paid a total of $121.40 for the 2 items and paid $46.60 more for the
bag than the wallet.
a) What was the price of the bag without discount?
b) What was the percentage discount given for the wallet?
A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
PercentagesGiven that Farhan bought a bag and a wallet at a discount from a store, and he was given a discount of 30% for the bag, and for the wallet, a discount was also given, and he saved a total of $66.60, and he paid a total of $121.40 for the 2 items and paid $46.60 more for the bag than the wallet, to determine A) what was the price of the bag without discount, and B) what was the percentage discount given for the wallet, the following calculations must be performed:
(121.4 - 46.6) / 2 = Wallet37.4 = Wallet1-0.3 = 0.70.7 = 841 = X84 / 0.7 = X120 = X66.6 - (120 - 84) = X66.6 - 36 = X30.6 = X68 = 10037.4 = X37.4 x 100 / 68 = X55 = XTherefore, A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
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Answer:A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
Step-by-step explanation:
17 Which numbers make the comparison true? 27,768 Select the two correct answers. A 27,759 8 28.744 26,773 27,568 E 27,836
Answer:
B and D
Step-by-step explanation:
hope it helps in some way possible
pls help me with this 10 ponits
Answer:
I believe it is B
Step-by-step explanation:
what fraction of one day is 36 mins
Answer:
1 day = 1440min
so 36min of a day = 36/1440 = 1/40
Find the area of the shapes below. Make sure to label your answers with units.
Figure a: The area of the triangle is 13.3 sq. km.
Figure b: The area of the rectangle is 57.4 sq. cm.
Figure c: The area of the parallelogram is 45.5 sq. km.
Figure d: The area of the trapezoid is 24.36 sq. m.
What is the area of a two-dimensional figure?The area of a two-dimensional closed figure is the total space within its boundary.
How to solve the question?In the question, we are asked to find the area of the given shapes.
Figure a:-
It is showing a triangle.
The area of a triangle is calculated using the formula:
Area = (1/2)*Base*Height.
Thus, the area of the triangle
= (1/2)*7*3.8 sq. km
= 13.3 sq. km.
Figure b:-
It is showing a rectangle.
The area of a rectangle is calculated using the formula:
Area = Length*Width.
Thus, the area of the rectangle
= 8.2*7 sq. cm
= 57.4 sq. cm.
Figure c:-
It is showing a parallelogram.
The area of a parallelogram is calculated using the formula:
Area = Base*Height.
Thus, the area of the parallelogram
= 9.1 * 5 sq. km
= 45.5 sq. km.
Figure d:-
It is showing a trapezoid.
The area of a trapezoid is calculated using the formula:
Area = (1/2)*(Sum of parallel sides)*(height).
Thus, the area of the trapezoid
= (1/2)*(2.7 + 8.9)*4.2 sq. m.
= 11.6 * 2.1 sq. m.
= 24.36 sq. m.
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pls answe asap and show work!
11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
-
=
Answer:
[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^3+3[/tex]
[tex]g(x)=2x^2+x-1[/tex]
Therefore:
[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]
what percent of 7 is 3.5
Answer:
50%Step-by-step explanation:
what percent of 7 is 3.5
3.5 is half of 7, so 100%: 2 = 50%
Answer: 50%
I have shown two methods, both work well and can be used to solve other scenarios as well.
[Method One]
We will set up a proportion and solve.
-> A percent divided by 100 is a decimal. This means 100% = 1 in our proportion
[tex]\frac{1}{7} =\frac{x}{3.5}[/tex]
7x = 3.5
x = 0.5
0.5 * 100 = 50%
[Method Two]
We will put the whole value in the denominator, and the "what percent of" value is the numerator.
[tex]\displaystyle \frac{3.5}{7}[/tex]
0.5
0.5 * 100 = 50%
The Sum of ages of kofi and akosua is
29 years. koti is 3 years older than Akosua.
How old
are
they?
Answer:
I think the answer is 12 and 19
Calculus, factor the given polynomial completely.
May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i
Answer:
(x, y) = (17/31, 1/31)
Step-by-step explanation:
Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.
__
simplify(5 -3i)(x -yi) = 3(x +2yi) +1 -2i
5x -5yi -3xi +3yi² = 3x +6yi +1 -2i
(5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)
equate real, imaginary partsThis resolves to the two equations ...
5x -3y = 3x +1-5y -3x = 6y -2solve the systemPutting these equations into general form gives ...
2x -3y -1 = 0
3x +11y -2 = 0
Using the "cross multiplication method" to solve these equations, we get ...
x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31
y = ((-1)(3) -(-2)(2))/31 = 1/31
The values of x and y that satisfy this equation are ...
(x, y) = (17/31, 1/31)
_____
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Solve the system by substitution.
y= -6x-7
y= -7x
Answer:
x = 7
y = -49
Step-by-step explanation:
Solving system of equation by substitution method.y = -6x - 7 ---------------(I)
y = -7x -------------------(II)
Substitute y = -7x in equation (I)
-7x = -6x - 7
-7x + 6x = -7
-x = -7
Multiply both sides by (-1)
[tex]\sf \boxed{\bf x = 7}[/tex]
Substitute x =7 in equation (II)
y = -7*7
[tex]\sf \boxed{\bf y = -49}[/tex]
Answer:
X = 7 Y = -49
Step-by-step explanation:
Y= -6 X -7---------(1)
Y= -7 X ------------(2)
using substitution method, substitute equation two into equation one-7 X = -6X -7
-7 X+6X = -7
- X = -7
cancelling the - sign on bothsides
X = 7
put X = 7 into equation (2)
Y = -7(7)
Y = -49
therefore, X = 7 Y= -49
Help please
50 points
Answer:
The answer would be B
Step-by-step explanation:
Find the area of the window
Answer:
Area = 1250cm²
Step-by-step explanation:
Area of a kite = pq/2
where p and q are diagonals
p = 25+25 = 50
q = 30+ 20 = 50
Area of a kite = pq/2
Area = (50*50 ) / 2
Area = 1250cm²
Step 1: 3x + 12 = 3 Step 2: ? Step 3: x = −9 ÷ 3 Step 4: x = −3 What is the missing Step 2? 3x = 9 3x = 15 3x = −9 3x = −15
The missing step is to subtract 12 from both sides of the equation.
The step would be:
3x = -9
A business serves 18 customers with 67 staff to maintain a strong ratio of staff to guests. How many staff members would be needed if 298 customers are expected?
Answer:
x = 67 *272 = 364.48 = 364 (rounded as requested).
Step-by-step explanation:
Use the proportion
50 = 272
67 x
URGENT!!! NEED BY 11:59 EDT time!!!!!!!!!!!!!!!!!!!!!! WORTH 100 POINTS WITH CORRECT ANSWER AND EXPLANATION
Karen has 3 different INTEGER test grades (from a teacher that NEVER gives bonus questions or extra credit) that are all B+ and says that it doesn’t matter how high a grade she gets on the last test of the term because she’ll still only end up with no higher than a B+ test average. What is the SMALLEST score that proves her wrong?
Usual gradation standards
90+—≥ A+80-90—>A70-80—»B+60-70—»B50-60—⟩C+40-50—»C30-40—»D<30—≥Fail (F)So inorder to make her wrong we need something less than B+ I e <70
Smallest score is 0 largest score is 70 .
Adelle keeps track of the time her bus arrives at her stop. Since she has been keeping track, her bus has arrived on time 16 days and has been late on 4 days. Based on her data, what percentage of the time should Adele expect the bus to be late?
Answer:
25%
Step-by-step explanation:
4 days of 16 days is 25% or 1/4
Hope this helps! ;-)
Can someone explain how to do this plez I NEED HELP
Answer:
42
Step-by-step explanation:
well , here we can find the unknown variable which is X
127 = 3X+2 ( vertically opposite angles are equal)
127 = 3X+2
3x+2= 127
collecting like terms
3x = 127-2
3x = 125
dividing bothsides by 3
3x/3 = 125/3
x = 41.66
x = 42 (approximately)
Which of the following is not a real number?
A. √2
B. -2
C. √₁,
D. 0
Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 280 more hits than
Ricky. How many hits did each player have?
Answer:
Ricky had 1201 hits and
Pedro hade 1481 hits
Step-by-step explanation:
Let Ricky be 'y'.
Since, Pedro hit 280 mroe than Ricky.
Pedro is 'y+ 280'
Thus,
y + y+ 280 = 2682
2y = 2402
y = 1201
Ricky had 1201 hits and
Pedro hade 1201 + 280 = 1481 hits
Answer:
See below ~
Step-by-step explanation:
Let :
Hits by Ricky = xHits by Pedro = x + 280Solving :
Mentions the sum is 2682x + x + 280 = 26822x = 2402x = 1201Solution :
Hits by Ricky = x = 1201 hitsHits by Pedro = x + 280 = 1201 + 280 = 1481 hitssolve by completing the square
Step-by-step explanation:
[tex] {x}^{2} + 2x - 2 = 0[/tex]
Now Adding three on both sides we get
[tex]{x}^{2} + 2x - 2 + 3 = 0 + 3[/tex]
[tex] {x}^{2} + 2x + 1 = 3[/tex]
[tex] {(x + 1)}^{2} = 3[/tex]
What is the perimeter of the following composite figure?
Answer:
I think it is 15. if I am wrong sorry, but if I am right mark brainliest!!
N
The accurate scale drawing shows
the positions of port P and a lighthouse L.
►
c)
N
Lindsey sails her boat from port P
on a bearing of 050°
She sails for 12 hours at an average
speed of 5 km/h to a port Q.
Ito-
L
p*
Scale: 1 cm represents 3 km.
a) Indicate the position of port Q on the drawing (use the x tool).
(2)
b) Find the distance, in km, of port Q from lighthouse L.
(1)
c) Find the bearing of port Q from lighthouse L.
)
(2)
Total marks: 5
Feedback
The Indication of the position of port Q on the drawing is shown by using the example of the image attached.
What is the distance about?To Indicate the position of port Q on the drawing (use the x tool).
12 * 5 = 60km
Note that S= VT
Because 1cm represent 3km
1/3 =x/60
3x = 60
x= 60/3
x= 20
So therefore, 60km needs 20cm.
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A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length FH.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
28
53
117
Answer:
FH = 108
Step-by-step explanation:
The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.
__
Triangle EGH:EG² = GH² +HE²
GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values
Triangle FGH:FG² = GH² +FH²
FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values
FH = √11664 = 108 . . . . . take the square root
The length FH is 108.
Find the critical points of the function f(x)=45x^4/5+x^9/5
Answer:
Step-by-step explanation:
[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]
Critical Point Definition:
Critical points are points where the function is defined and its derivative is zero or undefined.Find where [tex]f'(x)[/tex] is equal to zero or undefined
[tex]x=-\sqrt[5]{20},\:x=0[/tex]
Identify critical points not in [tex]f(x)[/tex] domain
Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]
All critical points are in domain
[tex]x=-\sqrt[5]{20},\:x=0[/tex]
Math
What can you say about the mean rainfall when comparing the two time periods?
The mean in period 2 is higher than the mean in period 1.
The mean in period 1 is higher than the mean in period 2.
The mean in period 1 is the same as the mean in period 2.
Answer:
[tex]\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}[/tex]
Step-by-step explanation:
the mean in period 1 :
(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...
the mean in period 2 :
(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...
Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.
HELP I KEEP GETTING WRONG!
True Or False?
Click picture for the Questions!
Answer:
1. False
2. True
3. True
4. True
Step-by-step explanation:
A rational number is a number that can be written as a fraction of two integers. An irrational number can not be written as a fraction of two integers.
(Remember that an integer and a whole number are the same).
This means that...
All whole numbers/integers are rational.
This means that 1 is False and 2 is True3 is true for reasons mentioned above.
4 is just asking the same as 3.
Suppose your friend's parents invest $ 10,000 in an account paying 5% compounded annually. What will the balance be after 8 years?
Answer:
A = $14,745.544
Step-by-step explanation:
The equation for compound interest is
A = P (1+i)t
A = final value
P = amount invested (principal) (10000)
i = interest rate, expressed as a decimal (.05)
t = number of years invested (8)
This formula assumes annual compounding.
Plugging in what we know.
A = 10000(1.05)^8
A = 10000 (1.47745544)
A = $14,745.544
Find the sum and express it in simplest form. (3a2+2a)+(5a2-a-7)
Done
[tex] \pink{\underline{\boxed{8a²+a-7}}}[/tex]
Solution :-
[tex]\Longrightarrow\sf{(3a ^2 + 2a) + (5a^2 -a-7)}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{3a^2+ 2a + 5a^2-a-7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{8a^2+2a-a-7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \Longrightarrow\sf{8a^2+1a-7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{8a^2+a-7}[/tex]
[tex]\red{━━━━━━━━━━━━━━━━━━━━━━}[/tex]
how many numbers between 75 and 500 are divisible by 7?
