The owner's profit for a ten-day period is equal to $ 6100.
We are given that:
Selling price of 1 pizza slice = $ 2.50
Number of pizza slice sold per day = 200
Selling price for pizza slices in a day = 200 × $ 2.50
SP ( pizza ) = $ 500
Selling price of 1 sandwich = $ 2
Number of sandwich sold per day = 85
Selling price for pizza slices in a day = 85 × $ 2
SP ( sandwich ) = $ 170
Selling price in 1 day = $ 500 + $ 170 = $ 670
Now, Cost price in 1 day = $ 60
Profit in 1 day = $ 670 - $ 60 = $ 610
Profit in 10 days = 10 × $ 610 = $ 6100
Therefore, the owner's profit for a ten-day period is equal to $ 6100.
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(3x^3)^3 is equivalent to
Answer: (3x^3)^3 = 3^3 (x^3)^3 = 27 (x^3)^3 = 27^3x3 = 27^9
27^9
Answer:
27x^9
Step-by-step explanation:
Distribute.
3^3 (x^3)^3
27 (x^3)^3
Power of a power.
27x^3 times 3
Multiply.
27x^9
Tyler has two cube-shaped storage spaces in his apartment, one large and one big. the small on is 12 with a exponent of 3. what is the volume for both?
Answer: 19
Step-by-step explanation:
2+1+1+12+3=19
An arithmetic sequence is given below.
3, 7, 11, 15,...
Write the explicit formula for the n^th and a'n.
The explicit formula, for the arithmetic sequence 3, 7, 11, 15,... is an = 4n - 1
What does an arithmetic sequence mean?An ordered group of integers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.
For the arithmetic sequence,
3, 7, 11, 15,...
a = 3,
d = 7 - 3 = 4
So, an = a + (n - 1)d
an = 3 + (n - 1)4
an = 4n - 1
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Solve the simultaneous equations
y=2-5x
y = x² – 2x – 8
Answer:
Step-by-step explanation:
sub equation 1 into 2
2-5x=x²-2x-8
0=x²-2x+5x-8-2
0=x²+3x-10
0=(x-2)(x+5)
x=2 or x=-5
sub x into equation 1
y=2-5(2) or y=2-5(-5)
y=-8 y=27
Find the measure of the missing angles.
55°
X
y
Answer:
x = 35° , y = 125°
Step-by-step explanation:
y and 55° lie on the straight line and sum to 180° , that is
y + 55° = 180° ( subtract 55° from both sides )
y = 55°
x and 55° form a right angle and sum to 90° , that is
x + 55° = 90° ( subtract 55° from both sides )
x = 35°
20 girls and 32 boys volunteer to plants trees at a school. The principal divides the girls and boys into
identical groups that have girls and boys in each group. What is the greatest number of groups the
principal can make?
The greatest number of groups the principal can make is
The principle can makes 4 groups with 7 girls and 8 boys.
What is HCF?The biggest number that divides each of the two or more numbers is known as the HCF, or highest common factor. The Greatest Common Measure (GCM) and Greatest Common Divisor are further names for HCF (GCD). The least common multiple, or LCM, is used to determine the smallest common multiple of any two or more numbers. LCM and HCM are two separate approaches.
According to the given statement ;
We are given that 28 girls and 32 boys volunteer to plant at a school.
The principle divided the girls and boys into identical groups that have girls and boys in each group.
We have to find that how much the principle can make greatest number of groups.
We will find HCF of 28 and 32
28= 2X2X7
32= 2X2X2X2X2
Highest common factor of 28 and 32 =2X2=4
Therefore, the principle can makes 4 groups with 7 girls and 8 boys.
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Find the difference.
1. -16 -4 =
4. -13 -2 =
7. -12-7=
10.-23-6=
13. 4 + 9 =
16. 5 + 3 =
19. 4+ 10 =
22. -4 + 1 =
2.-19-28 =
5. 9-3 =
8. -21-1=
11. 1-3 =
14. -8 + 8 =
17. -5 + 9 =
20. 6+-3 =
23. -2 -2 =
3. 3 10 =
6. 1-5=
9. 20-8=
12. -9 -0 =
15. 4 + 6 =
18. 2 + 2 =
21. -6 -5 =
24. 4 + 1 =. Please help ! Ill mark brainliest
Answer:
rHrhstdu.guf.ugdtuy.
Step-by-step explanation:
1. -16 -4 = -20
4. -13 -2 = -15
7. -12-7= -19
10.-23-6= -29
13. 4 + 9 = 13
16. 5 + 3 = 8
19. 4+ 10 = 14
22. -4 + 1 = 3
2.-19-28 = -47
5. 9-3 = 6
8. -21-1= -22
11. 1-3 = -2
14. -8 + 8 =0
17. -5 + 9 =4
20. 6+-3 = 3
23. -2 -2 = -4
3. 3 .10 =30[ there is no sign so these numbers are multiplied ]
6. 1-5= -4
9. 20-8= 12
12. -9 -0 = -9
15. 4 + 6 = 10
18. 2 + 2 = 4
21. -6 -5 = -11
24. 4 + 1 = 5
21 ice cream cones are sold at $4.02 each.
What is the total cost of these items?
Answer:
84.42
Step-by-step explanation:
21 times 4.02
= 84.42
Answer: $84.42
Step-by-step explanation:21x 4.02
Jackson and Flora both have bank accounts, and they use credit cards.
Use the number line to determine if they can pay off the credit card bill.
A. Jackson has $20 in his account. He uses a credit card to spend $30 on a
coat and $10 on a movie. Jackson then deposits $50 into his account.
How much will Jackson have left after he pays the credit card bill?
What is the area of the shaded region?
Answer:
208
Step-by-step explanation:
4*30 = 120
(15-4) * 8 = 88
88 + 120 = 208
Answer:
208 cm
Step-by-step explanation:
Solving right side first. 8*15=120
Take out 8cm from 30. 30 - 8 = 22
22*4= 88
88 + 120 = 208
Check work I found the total area and the white rectangle.
15*30=450 which in total area
15-4=11 11 is the left/right side of the white rectangle
30-8=22 22 is the top/bottom side of the white rectangle.
22*11= 242
208+242=450
PLEASE SOLVE THIS FOR MEEEE<333
Given T(1,5), U(-2,-8), V(7,-9), and W(-6, y). Find y such that
TU VW
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of TU
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{-13}{-3}\implies \cfrac{13}{3}[/tex]
hmmmm, well, if that's so, then the slope of VW will be the negative reciprocal of that only if both are really perpendicular, so
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{13}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{13}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{13}}}[/tex]
since now we know the slope if VW, let's use it
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{y}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{y}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{7}}} \implies \cfrac{y +9}{-13}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{13}}\implies y+9=\cfrac{3(-13)}{-13} \\\\\\ y+9=3\implies {\LARGE \begin{array}{llll} y = -6 \end{array}}[/tex]
help me with this question! explanation pls
Answer:
the volume increases by a factor of 27
Step-by-step explanation:
pretend that the volume V can be
V=l×w×h 'l' is length, 'w' is width, and 'h' is height. Let's increase all of those measures by a factor of 3.
The new volume will be V': V'=3l × 3w × 3h
we can rearrange:V'=3×3×3×l×w×h
we now have l×w×h by itself: V'=3^3 ×l×w×h=3^3×V
You can now see that if all the linear dimensions of the prism are tripled, we get an increase of 3^3 to the original volume:
V'=27V
Perform the indicated operation and express the result as a simplified complex number.
6 + 7i
6-7i
The value of complex number 6 + 7i / 6-7i is -13 / 85 + 84i/85
What are complex numbers?Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).
Given the complex number is -
6 + 7i / 6-7i
⇒ 6 + 7i / 6 - 7i × 6 + 7i / 6 + 7i
⇒ (6+7i)² / 6² - 7²(i²)
Using (a+b)² = a² + b² + 2ab
⇒ 6² + (7i)² +2(6)(7i) / 36 - 49(-1)
⇒ 36 - 49 + 84i / 36 + 49
⇒ -13 + 84i / 85
⇒ -13 / 85 + 84i/85
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(-1)X 12 times=(-1) to the 12th power. Will these products be negative or positive?
[tex](-1)x\times(-1)^{12}\implies -x\times(-1)^{2+2+2+2+2+2} \\\\\\ -x\times(-1)^2 (-1)^2 (-1)^2 (-1)^2 (-1)^2 (-1)^2 \implies -x\times 1\cdot 1\cdot 1\cdot 1\cdot 1\cdot 1\implies -x[/tex]
bear in mind that any value raised to an even power, will always positivize.
7.) A bag of 8 apples costs $1.00at Sam's Orchard, a. At this same rate, how much would 18 apples cost?
The cost of 18 Apples at the same rate is $2.25
cost for 8 apples = $1.00
cost of 1 apple = 1.00/8
$0.125 for one apple
cost of 18 apples = 18*0.125 =$ 2.2 5
Here in the given sum we have used simple unitary method concept like in the 1st line we noted the cost of 8 apples that is given in the question that is equall to $1.00. In the next step we found the cost of 1 apple simply by dividing 1.00/8 that amouted to $0.125. In the last stage we have calculated the amount for 18 apples that amouted to $2.25 . We have simply multiplied 18 apples with the cost of 1 apple that is $0.125 which amouted to $2.25
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The base of a triangle is 3 inches more than 2 times the height. If the area of the triangle is 76 square inches, find
the base and height.
Height is h = 8 and base = 19 inch in triangle .
What Does a Triangle's Area Mean?
The space bounded by a triangle's three sides is known as the area of a triangle. Depending on the type of triangle, it is computed using a variety of methods and expressed in square units like cm2, inches2, and so forth.Area of a triangle whose base is b and height is h is =1/2 * b * h
Let the height of given triangle be h inch and as base of a triangle is 3 inch greater than the height, base is ( 2h + 3)
b = 2h + 3
Hence, its area is 1/2 × h × (2h + 3 ) = 76 inch²
So, 1/2 × h × (2h + 3) = 76
2h² + 3h = 76 × 2
2h² + 3h - 152 = 0
2h² + 19h - 16h - 152 = 0
h( 2h + 19 ) -8 (2h + 19) = 0
(h-8) ( 2h - 19)
now h = 8 and h = -19/2 but height of triangle cannot be negative.
Hence height is h = 8 and base = 2 * 8 + 3 = 19 inch
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The difference of two natural number is 2. The sum of their squares is 100.Find the numbers.
The required two numbers are 6 and 8.
Let us denote the required numbers by c and d.
Given that the difference between two natural numbers is 2.
If we assume d > c, then d – c = 2
⇒ d = 2 + c → equation 1.
Also given that the sum of their squares is 100.
⇒ c² + d² = 100
⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)
⇒ 2c² + 4c + 4 = 100
⇒ 2c² + 4c = 96
⇒ 2c(c+2) = 96
⇒ c(c+2) = 48
Using the factorization for 48, we get 6 × 8 = 48
⇒ c = 6
⇒ c+2 = 8
⇒ d = 8
Therefore, the required two numbers are 6 and 8.
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Which of the following numbers is the least LOOK AT NUMBER TWO ANSWERS
Answer:
A is least
Step-by-step explanation:
A= 560
B= 630
C= 568
D= 639
If you do 7 x 10 which equals 70 then do 70 by the power of 8 which is multiplying 70 8 times, you get 560 which is the least equation/answer out of all of them.
Answer:
A is the answer
Step-by-step explanation:
Since a and c are to the power of 8 while b and d are to the power of nine, it's between a and c
A.10*8=100000000×7= 700000000
C.10*8=100000000×7.1=710000000
Evaluate the expression when m = 5 and n = 38
N-6m
An expression is a set of terms combined using the operations +, -, x or ÷, for example 4 x − 3 or 5 x 2 − 3 x y + 17 . An equation is a statement with an equals sign, which states that two expressions are equal in value, for example 4 b − 2 = 6
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
50
6m-n
Let m = 9 and n = 4
when m = 5 and n = 38
N-6m6*9-4
Multiply first
54-4
Then subtract
50
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Juanita recorded 1 1/2 hours of a school musical concert. during editing, she deleted 1/3 of the recording. what was the length of the recording after editing was completed?
The final length of Juanita recording after editing was completed was 7/6
To solve this exercise, we have to state the equation using the information of the problem:
Information about the problem:
Recorded= 1 1/2 hDeleted= 1/3Final length= ?Transforming the mixed number to fraction, we get:
1 1/2 =
[(2*1) +1] /2
(2+1)/2
3/2
Calculating the final length of the recording, we have:
Final length = Recorded - deleted
Final length = 3/2 - 1/3
Final length = (9-2) / 6
Final length = 7/6
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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need help with #9, & #10 please
Step-by-step explanation:
the line equation is in the slope-intercept form.
that looks like
y = ax + b
"a" is the slope (always the factor of x). "b" is the y-intercept (the y value when x = 0).
so, when it says "the same slope", we know we have to use the same factor of x.
and yes, the coordinates of a point are (x, y). so, you really need to use it in the places of x and y to get "b".
9.
y = -4x + b
2 = -4×0 + b = b
so, yes, the equation is
y = -4x + 2
but as you can see : b is NOT y in general.
10.
y = 2/3 x + b
-1 = 2/3 × 4 + b = 8/3 + b
now, let's multiply both sides by 3 to get rid of the fraction :
-3 = 8 + 3b
-11 = 3b
b = -11/3
so, the equation is
y = 2/3 x - 11/3
or
y = 1/3 × (2x - 11)
$500 is earning 8% simple unrest rate. What is the interest owed
The interest owed is $40
How to calculate the interest ?Interest is the amount of money paid when a loan is collected
The amount is $500
The interest rate is 8%
Therefore the interest owed can be calculated as follows
= 8/100 × 500
= 0.08 × 500
= 40
Hence the interest owed is $40
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HELPPP
Solve for x and graph the solution on the number line below.
-x - 8 ≤ -15 and -18 ≤ -x - 8
The Solution in inequality form is 7 ≤ x ≤ 10.
The Solution in interval notation: [7,10].
What is the solution to the compound inequality?Given the data in the question;
-x - 8 ≤ -15 and -18 ≤ -x - 8
To solve, simplify the first part of the inequality by solving for x.
-x - 8 ≤ -15
Add 8 to both sides
-x - 8 + 8 ≤ -15 + 8
-x ≤ -7
Divide both sides by -1
Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.
-x/-1 ≥ -7/-1
x ≥ 7
Next, simplify the second part of the inequality by solving for x
-18 ≤ -x - 8
Rewrite as
-x - 8 ≥ -18
Add 8 to both side
-x - 8 + 8 ≥ -18 + 8
-x ≥ -10
Divide both sides by -1
Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.
-x/-1 ≤ -10/-1
x ≤ 10
Now, the intersection consist of the elements that are contained in both intervals.
The Solution in inequality form is 7 ≤ x ≤ 10.
The Solution in interval notation: [7,10].
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3, 6)
5. Mr. Tran purchased a phone card
with 300 minutes on it. If he uses
the card to make 2 hours of calls,
how many minutes remain on his
phone card?
Answer: 180 minutes
Step-by-step explanation:
300/60
5-2=3
3x60=180
PLEASE ANSWER THIS I NEED IT URGENTLY WILL GIVE BRAINIEST 3 TIMES OR MORE AND 100 POINTS AND MORE!!
Answer:
What is the question so I can answer
(HELP) The town of Miami is mapped on a coordinate
grid with the origin being at City Hall. Jordan's house
is located at the point (-5, 7) and Ca'Miyah's house is
located at (-2, 3). To the nearest tenth, How far is it
from Jordan's house to Ca'Miyah's house?
(51)
Answer: 5.2
Step-by-step explanation:
If we put both points on a grid, Jordan's house would be 4 points above and 3 points to the left of Ca'Miyah's. We can plug these two amounts into the pythagorean theorem to find the distance between the houses: 4^2 + 3^2 = x^2. If we solve this equation, we get 5.196, which rounds to 5.2.
Hope this helps!
simplify so that your answer contains only positive exponents.
Step-by-step explanation:
18.
[tex] = { ({x}^{2}) }^{ - 3} .2 {x}^{3} [/tex]
[tex] = {x}^{2 \times ( - 3)} .2 {x}^{3} [/tex]
[tex] = {x}^{ - 6} .2 {x}^{3} [/tex]
[tex] = 2 {x}^{ - 6 + 3} [/tex]
[tex] = 2 {x}^{3} [/tex]
[tex] = \frac{2}{ {x}^{3} } [/tex]
[tex] \: [/tex]
19.
[tex] = {(2m)}^{2} . {(3 {m}^{3} )}^{2} [/tex]
[tex] = {2}^{2} {m}^{2} . {3}^{2} {m}^{3 \times 2} [/tex]
[tex] = 4 {m}^{2} .9 {m}^{6} [/tex]
[tex] = (4 \times 9) {m}^{2 + 6} [/tex]
[tex] = 36 {m}^{8} [/tex]
For which situations is it appropriate to use a sample? Select three options.
1What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
2What is the average number of rainbows each year in Honolulu?
3How many pedestrians would use a walkway built over a busy road?
4How many police cars are equipped with computers?
5What is the most popular car color in the teachers’ parking lot?
It is appropriate to use a sample at
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?How many pedestrians would use a walkway built over a busy road?How many police cars are equipped with computers?Options A, C, and D
This is further explained below.
What is the situation?Generally, Placement with respect to one's immediate environment; is the manner in which something is arranged. the whole physical, social, and psychocultural influences that operate upon a person to direct and control his or her conduct is referred to as an individual's environmental context.
In conclusion, It is OK to utilize a sample while answering the following question: What proportion of people who drive pick-up trucks want their next vehicle purchase to be another pick-up truck?
How many people do you think would utilize a walkway that was constructed over a major road? Alternatives A, C, and D
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Q. 2
Find the missing number 4, 5, 16, ?,
when average (mean) is 8 ?
Answer:The missing number is 7
Step-by-step explanation:
if 4+5+16 is 25 then you will need 7 more to make it 32 so you can divide by 4 and get 8