A bakery makes a $5 profit for each cake it sells. It makes
a $6 profit for each pie it sells. The expression 5c+6p
represents the profit for selling c cakes and p pies. How
much profit is made if the bakery sells 10 cakes and 7 pies?
Answer:
$92
Step-by-step explanation:
Find the profit by plugging in 10 as c and 7 as p into the expression:
5c + 6p
5(10) + 6(7)
50 + 42
= 92
So, the bakery will make $92
HELP ASAP!!!!!!
Colin saved $30 in July, $21.50 in August, and $50 in September. He spent $18 on video games and $26.83 on books. How much money does Colin have left?
A number is equal to half the sum of the same number and ten. Set up and equation and find that number.
9514 1404 393
Answer:
n = n/2 + 1020Step-by-step explanation:
Let n represent the number. Then half the number is n/2. We are told that ...
n = n/2 +10 . . . . the number equals half the number plus 10
n/2 = 10 . . . . . . .subtract n/2
n = 20 . . . . . . . . multiply by 2
The number is 20.
If anyone could help me! I’ll give Brainly :’) thank you..
Answer:
(3,1) (6,-2)
Good luck on your assignment!
write a pair of integers whose sum is -1
Answer:
4 and -5
Step-by-step explanation:
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A point at (4.6) is reflected across the x-axis. What is the
y-coordinate of the reflected point?
(4,-6)
OR -6
GOODLUCK :)
Given: mZA= 15°; a = 10; m B = 57° Find b.
Answer:
Solve in terms of the arbitrary variable B
.
Alw(10)⋅(ys)
true
a=10
m=57°B
Step-by-step explanation:
If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes
Answer:
[tex]S = \{1,2,3,4,5,6\}[/tex]
Step-by-step explanation:
Given
Roll of a single die
Required
The sample space
On a single die, we have the following numbers: [tex]1,2,3,4,5,6[/tex]
Each of these numbers represent possible outcomes.
So, the sample space is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
Can anyone help? ................
answer:
x = 64
step-by-step explanation:
in order to solve this, we have to add up all the angles given and subtract from 360° in order to find xwe subtract from 360° because a circle adds up to 360°since there is a square shown as an angle, it is 90°so we know that, 180 + 26 + x + 90 = 360°
now, we solve for x180 + 26 + x + 90 = 360°
296 + x = 360
x = 64°
Consider strings of four decimal digits. Which rule must be used to find the number of strings of four decimal digits that have exactly three digits that are 9s? multiple choice the sum rule the subtraction rule the product rule the division rule How many strings of four decimal digits have exactly three digits that are 9s?
Answer:
36 possible ways
Step-by-step explanation:
Range of digit : 0 up to 9
To obtain the number of strings of 4 decimal digits that have exactly 3 digits that are 9s ; we use the multiplication rule :
In other to have exactly 3 digits from 4 that are 9s :
Say:
We have 3 9s and the last number could be any of the 10 possible digits except 9
First 9 = 1 possible way (since we have only one 9 between (0 to 9)
Second 9 = 1 possible way
Third 9 = 1 possible way
4th digit = 9 ways (could be any digit between 0 and 9, except 9)
Also, we consider the 4th digit's position ; as it could take up any of different positions in between the 9s = 4 ways
Using the product rule :
1 * 1 * 1 * 9 * 4 = 36 possible ways
The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size.
A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together. The
Company requires the neighborhood to order at least 2 Jordan sizes and at least 3
Shaq sizes. The Toy Company makes a profit of $1,350 on the Jordan size and $1,200
on the Shaq size. What is the maximum profit they can make given the constraints
above? (You can use Desmos to graph if you do not have any graph paper).
Lo
Answer:
Maximum Profit = 13050
when
The Toy company sells Jordan Size hoops = 7
The Toy company sells Shaq Size hoops = 3
Step-by-step explanation:
Given - The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size. A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together. The Company requires the neighborhood to order at least 2 Jordan sizes and at least 3 Shaq sizes. The Toy Company makes a profit of $1,350 on the Jordan size and $1,200 on the Shaq size.
To find - What is the maximum profit they can make given the constraints above?
Proof -
Let us assume that,
The Toy company sells Jordan Size hoops = x
The Toy company sells Shaq Size hoops = y
Now,
Given that, A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together.
⇒x + y ≤ 10
Now,
Given that, The Company requires the neighborhood to order at least 2 Jordan sizes and at least 3 Shaq sizes.
⇒ x ≥ 2
y ≥ 3
Now,
Given that,
The Toy Company makes a profit of $1,350 on the Jordan size and $1,200 on the Shaq size.
So,
The objective function becomes
Z = 1350x + 1200 y
So,
The Linear Programming Problem (LPP) becomes
Maximize Z = 1350x + 1200 y
Subject to
x + y ≤ 10
x ≥ 2
y ≥ 3
x, y ≥ 0
We will Solve the LPP by Graphical method.
The graph is as follows :
The points on the Boundary are -
A(2, 8)
B(2, 3)
C(7, 3)
So,
Points (x,y) Objective function value ( Z = 1350x + 1200y)
B(2,3) 1350(2) + 1200(3) = 6300
C(7,3) 1350(7) + 1200(3) = 13050
A(2,8) 1350(2) + 1200(8) = 12300
So,
Maximum value = 13050 at point C(7,3)
∴ we get
Maximum Profit = 13050
when
The Toy company sells Jordan Size hoops = x = 7
The Toy company sells Shaq Size hoops = y = 3
x^2-64=0 solve for all real values of x
Hi there! Use the difference of two squares formula to solve the problem below:
[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]
From the equation, 64 comes from 8². Thus,
[tex] \large{ {x}^{2} - 64 = 0} \\ \large{(x + 8)(x - 8) = 0}[/tex]
The question also asks you to solve for all real values. Thus,
[tex] \large{x = 8, - 8}[/tex]
Answer
x = 8,-8 are the real solutions to x²-64 = 0.
Determine the length of the missing side of the right triangle? ? inches 15 inches 8 inches
Answer:
the missing angle would be 17 inches. I am not exactly sure but if the leg a and leg b were calculated with those 2 numbers then the other side(known as hypotenuse) should be 17 inches
Of the sundaes recently sold at Ice Cream Haven, 4 had nuts and 20 did not. Considering this
data, how many of the next 84 sundaes sold would you expect to have nuts?
The expectation of having nuts in the 84 sundaes if 4 had nuts and 20 did not is 14.
What is division?It is a fundamental operation in mathematics where you divide a number into smaller parts.
Given:
The sundaes had nuts = 4,
Total sundaes = 24,
So from this the possibility of having nuts in sundae = 4/24 = 1 / 6,
Hence, in 84 sundaes the possibility of having nuts is = 1 / 6 × 84 = 14,
Therefore, the expectation of having nuts in the 84 sundaes is 14.
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2. If an older television with an aspect ratio of 4:3 has a screen area of 1550 square inches, but the image displayed has an aspect ratio of 16:9, how much area does the image actually occupy? First determine what percent of the screen does the image occupy?
a. 825.5 sq. in.
b. 1162.5 sq. in.
c. 1181.5 sq. in.
d. 1375.5 sq.in.
In basketball each basket scored from inside the 3 point line is worth 2 points. Each basket scored from outside the 3 point line is worth 3 points. Part B
Asap plzz,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Hailey invested $940 in an account paying an interest rate of 8\tfrac{1}{4}8
4
1
% compounded quarterly. Justin invested $940 in an account paying an interest rate of 7\tfrac{5}{8}7
8
5
% compounded monthly. To the nearest dollar, how much money would Hailey have in her account when Justin's money has tripled in value?
Answer:
can you write it in a clearer way
Step-by-step explanation:
i need some help if you could
Step-by-step explanation:
35A) arc AC = 360-(100+110+80)=
360-290 = 70°
35B) L D = ½× 70 = 35°
35C) L AEC = ½(100+70)=½×170= 85°
35D) L P = ½(100-70) = ½×30 = 15°
A card is drawn at random from a deck of cards.
A) Find the probability of getting a queen.
B) What is the probability that the queen is the queen of diamonds?
Answer:
A) 1/13
B) 1/52 (or 1/4)
Step-by-step explanation:
52 cards in total.
4 Queens in total.
4/52=1/13
1 Queen of diamonds.
1/4 of 1/13 = 1/4×1/13 = 1/52
The second part of the question isn't overly clear, so I think that the answer is most likely 1/52, but could be 1/4.
Helpppppppppppppppppppppppppppppppppppppppp
X = 30°
The triangle in the circle as one angle of the main triangle and it is equilateral indicated by the slashes meaning all angles are 60°. (Every triangle has a total of 180°) the next angle is made from a tangential line the forms a 90° right angle with one of the radii in the circle meaning the main triangle has 1 angle of 60°, 1 angle of 90°, and that means that angle X is 30°.
Answer:
triangle ABD is a equilateral triangle.
so each angle is 60°
<ADB=60°
<BAD=60°
again
we have
CD is perpendicular to AD[tangent on the arc is perpendicular to the radius]
:. ADC=90°
°
again
In triangle ADC
<A+<B+<C=180°[sum of a interior angle of a traingle is 180°]
60°+90°+x=180°
x=180°-150°
x=30°
is a right answer.
Which equation shows 3/4 x+1/2y=1/8 converted to slope intercept form?
A. Y=3/2x-1/4
B.Y=-3/8x+1/16
C. Y=3/8x-1/16
D.Y=-3/2x+1/4
Answer:
D
Step-by-step explanation:
Violet earned a score of 662 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 550 and a standard
deviation of 40. How well must Violet score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.
Answer:
Step-by-step explanation:
662
Sara walked to school Monday, Tuesday, and Wednesday. Each day she could
be either late or on time. Identify the sample space (the correct list of
possible outcomes) for Sara's arrival times.
0 = on time, L = late
The notation OLL means that Sara was on time Monday, late Tuesday, and
late Wednesday.
A. {000, OOL, OLO, OLL, LOO, LOL, LLO, LLL}
B. {0000, OLOL, LLLL}
O C. {000, OOL, LLL}
D. {OO, OL, LO, LL)
Answer:
the answer is c.(ooo ool lll)
A school has a 20% sale on all headphones. With this discount, the price of headphones is $47. What was the original price of the pair of headphones?
Answer:
$56.40
Step-by-step explanation:
If you take the $47.00 and add 20% you will get 56.4
Can someone please help?
Answer:
A) 4/3
Step-by-step explanation:
A) 4/3
Integration of ∫(cos3x+3sinx)dx integration
Answer:
[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]
Step-by-step explanation:
We need to integrate the given expression. Let I be the answer .
[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]
Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .Rewrite using du and u .[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]
Answer:
[tex]\displaystyle \large{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]
Step-by-step explanation:
We are given the indefinite integral:—
[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx}[/tex]
Important Formulas
[tex]\displaystyle \large{\int f(ax+b) \ dx = \frac{1}{a} F(ax+b) + C}\\\displaystyle \large{\int \cos(ax) \ dx = \frac{1}{a} \sin (ax) + C \ \ \tt{(a \ \ is \ \ a \ \ constant.)}}\\\displaystyle \large{\int \sin x \ dx = - \cos x + C}\\\displaystyle \large{\int [f(x) \pm g(x)] \ dx = \int f(x) \ dx \pm \int g(x) \ dx}\\\displaystyle \large{\int kf(x) \ dx = k \int f(x) \ dx \ \ (\tt{k \ \ is \ \ a \ \ constant.})}[/tex]
Therefore, from the integral, apply the properties above:—
[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + \int 3 \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + 3 \int \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{1}{3} \sin 3x + 3\cdot -\cos x + C}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{\sin 3x}{3} - 3\cos x + C}[/tex]
Hence, the solution is:—
[tex]\displaystyle \large \boxed{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]
This is a regular octagon.
What is the measure of x?
IX
x = [? ]°
Enter
Answer:
x=360/8
=45 degrees,,,,
The measure of x = 45°.
What is exterior angles of a regular polygon?Exterior angles of a polygon are formed when by one of its side and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. You are already aware of the term polygon. A polygon is a flat figure that is made up of three or more line segments and is enclosed. The line segments are called the sides and the point where two sides meet is called the vertex of the polygon.
According to question,
There is a regular octagon.
Number of sides in regular octagon, n = 8
Since, measure of each exterior angle = 360°÷8
= 45°
Hence, the measure of each exterior angle of a regular octagon is 45°
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What is the inverse operation of subtract 18? A. subtract 18 B. multiply by 18 C. add 18 D. divide by 18
Answer: add 18
Step-by-step explanation:
It's asking for the opposite equation. Addition undoes Subtraction. Same with multiplication undoing division.
what is the equation for a circle as follows: center (2, -4) & radius 5?
Answer:
[tex](x-2)^2+(y+4)^2=25[/tex]
Step-by-step explanation:
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius of the circle.
The given circle has:
x-coordinate of center: 2
y-coordinate of center: -4
radius: 5
Meaning h = 2, k = -4, r = 5
Substitute into the general eqn.
[tex](x-2)^2+(y+4)^2=5^2=25[/tex]