Answer:
The two numbers are 6 and 12.
Step-by-step explanation:
So, let's start off, with x+y = 18 and x-y = 6.
Algebraically, we can add the above two equation sets, and we find out that 2x = 24, so x = 12. And then, it says the other number must be 6.
You start with a number that when added to the second number you will get 18 and when you subtract the second number from the first you will get 6. The difference between the above two results is 12.
So that difference of 12 is twice the second number; that means the second number is 6. And then using either of the given pieces of information, you can find that the first number is 12.
------------------------------------------------------
In conclusion:
6 + 12 = 18
12 - 18 = 6
A computer is priced at $2,000. If the sales tax rate is 7.5%, find the total cost of the
computer
please help:((
Answer:
it would just be 2000 * 1.075
Step-by-step explanation:
2150
Price = $2000
Sales tax
= 7.5% of Price
= 7.5% of $2000
= (7.5/100) × $2000
= 0.075 × $2000
= $150
Total price
= Price + Sales tax
= $2000 + $150
= $2150
find the value and express it in standard form : 5×10^8×2×10^11 please answer
please mark this answer as brainlist
A rectangle has a length of 38 meters less than 8 times its width. If the area of the rectangle is 4050 square meters, find the length of the rectangle.
Let
width be x Length=8x-38Area=4050m^2We know
[tex]\boxed{\sf Area =Length\times Width}[/tex]
[tex]\\ \sf\longmapsto x(8x-38)=4050[/tex]
[tex]\\ \sf\longmapsto 8x^2-38x=4050[/tex]
[tex]\\ \sf\longmapsto 8x^2-38x-4050=0[/tex]
By solving[tex]\\ \sf\longmapsto x=\dfrac{81}{4}\:or\:x=25[/tex]
Take x as 25[tex]\\ \sf\longmapsto Length=8x-38=8(25)-38=200-38=162m[/tex]
D FEEDBACK
Content attribution
Question
A designer has a palette of 14 colors to create a flag. The flag must have 4 vertical stripes. Each stripe must be a different
color: How many possible flags can be created?
Provide your answer below:
Answer: 24,024
Step-by-step explanation
[tex]\frac{14!}{10!}[/tex]
=14*13*12*11*10 /10
=14*13*12*11
=24,024 possible flags that can be created
Show Work! A warehouse worker shipped 289 boxes of notebooks. Each box contained 36 notebooks. What was the total number of notebooks shipped?
(A) 2, 601
(B) 9, 404
(C) 10, 404
(D) 10, 413
Answer:
(c) 10, 404.
Step-by-step explanation:
Step 1.
To multiply 289 by 36, set them up as shown by arranging the two numbers in columns. We usually put the number with the smaller number of digits at the bottom.
Step 2.
Firstly, work out 6 × 289. The smaller figures in green are the tens figures carried over. Working from right to left:
6 × 9 = 54
Put the 4 in the appropriate column and carry the 5.
6 × 8 + 5(carried) = 53
Put the 3 in the appropriate column and carry the 5.
6 × 2 + 5(carried) = 17
Put the 7 in the appropriate column and carry the 1.
Step 3.
Lastly, work out 30 × 289.
This can be written as 3 × 289 × 10.
Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 289.
3 × 9 = 27
Put the 7 in the appropriate column and carry the 2.
3 × 8 + 2(carried) = 26
Put the 6 in the appropriate column and carry the 2.
3 × 2 + 2(carried) = 8
Step 4. Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.
0 + 4 = 4
7 + 3 = 10
Put the 0 in the appropriate column and carry the 1.
6 + 7 + 1(carried) = 14
Put the 4 in the appropriate column and carry the 1.
8 + 1 + 1(carried) = 10
Put the 0 in the appropriate column and carry the 1.
1 (carried) = 1
So: 289 × 36 = 10404
Mathematics done on paper should look something like this; ( Did the best I can on PC)
2 8 9
................. 3....6....×
1 7 3 4
1 5 5
8 6 7 0
....... 2......2.........
1 0 4 0 4
1 1 1
Hope this helped!
The triangle below is equilateral. Find the length of side
x in simplest radical form with a rational denominator.
===========================================================
Explanation:
Any equilateral triangle has all three angles of 60 degrees each. Splitting the triangle in half like this produces two identical copies of 30-60-90 triangles.
Any 30-60-90 triangle will have its hypotenuse twice as long compared to the short leg. The short leg here is 5 (it's opposite the smallest angle), so that doubles to 2*5 = 10 which is the value of x.
Note: the other side of this right triangle is 5*sqrt(3).
Answer:
x=10
Step-by-step explanation:
∵ Δ IS Equilateral.
∴ sides are equal.
perpendicular from vertex bisects it.
x=2×5=10
If per unit variable cost of a product is Rs.8 and fixed cost is Rs 5000 and it is sold for Rs 15 per unit, profit in 1000 units is.......
a.. rs 7000
b. rs 2000
c. rs 25000
d. rs 0
Answer:
a.. rs 7000
Because 15×1000=15000 it is SP when selling 1000units in the rate of Rs 15/unit& 8×1000=8000 this is cp when buying 1000 units in the rate of Rs 8/unit.
So,by formula of profit,
Rs (15000-8000)=Rs7000
Which equation is in standard form?
a. X +3= -5y
b. 5-y=x
c. y =3x + 6
d. -8x+ 3y = 12
选项 (d)
option (d)
!!!!!!!!!
Complete the equation describing how
x and y are related.
X
-2
-1
D
у
12
8
0
-8
E 12
y = [? ]x
Enter the answer that belongs in [?]
Answer:
y= -(4x)
Step-by-step explanation:
Express 5 cm in metre and kilometre.in decimals........................ ncert maths class 7 pls
will be marked as brainliest trust me
Answer:
Converting into metre (1m=100cm)= 5/100=0.05m.. Converting into km. (1km=100000cm). so 5 cm=5/100000=0.00005km.
Answer:
5cm in meters = 0.05 metre
5cm in kilometres = 0.00005km
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!
12. The coordinate grid below represents a town.
a. Curtis's house is at (-4, -6) and Jean's house is at (-4, 3). Plot the plots where Curtis's house and Jean's house are located.
b. Each unit on the grid represents 1 mile. If Curtis can ride his bike at a constant rate of 12 miles per hour, how long would it take Curtis to ride from his house to Jean's house?
THIS IS NOT MULTIPLE CHOICE!!!
We are given:
Coordinates of Curtis's house: (-4, -6)
Coordinates of Jean's house: (-4, 3)
a) Plotting these points:
in the given coordinates, the first number is called the abscissa and denotes the x-coordinate of the point.
the second number is the ordinate. it denotes the y-coordinate of the point
Plotting Curtis's house:
We will start from the origin (0,0). move 4 units to the left because that's where x = -4 is.
Then, we will move 6 units downwards and mark the point.
The point we just marked is (-4, -6), Curtis's house
Plotting Jean's house:
We will go to x = -4 like we just did when plotting curtis's house
then, we will move 3 units upwards and mark the point.
This point is (-4, 3), Jean's house
b) Time taken by Curtis:
Distance between the points:
distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] (distance formula/Pythagoras' Theorem)
where (x₁, y₁) = (-4, -6) and (x₂, y₂) = (-4, 3)
replacing the values in the formula, we get:
distance = [tex]\sqrt{(-4 - (-4))^2 + (3 - (-6))^2}[/tex]
distance = [tex]\sqrt{(0)^2 + (9)^2}[/tex]
distance = [tex]\sqrt{(9)^2}[/tex] = 9 units
since each unit on the grid represents one mile,
distance = 9 miles
speed of Curtis = 12 miles/hour
we know that speed is just (distance covered)/(time taken)
speed = (distance covered)/(time taken)
replacing known values
12 = 9 / time
12 * time = 9 [multiplying both sides by time]
time = 9/12 [dividing both sides by 12]
time = 3/4 hours
time = 0.75 hours OR 45 minutes
9514 1404 393
Answer:
a) see attached
b) 3/4 hour (45 minutes)
Step-by-step explanation:
a) The attached graph shows the points plotted.
__
b) The points lie on the same vertical line. The distance between them is the difference of their y-coordinates: 3 -(-6) = 9 (miles).
The time is related to distance and speed by ...
time = distance/speed
time = (9 mi)/(12 mi/h) = 9/12 h = 3/4 h
It would take Curtis 3/4 hour to ride from his house to Jean's house.
Which of these graphs represents the inequality x > 5?
Answer:
A is correct.
x>5 means all numbers greater than BUT not equal to 5.
The open circle means "not equal".
So, A is correct.
Hope this helps!
Answer:
Graph A.
Step-by-step explanation:
Answer: x > 5 means all x values greater than 5
thus, the graph that best shows that x is greater than 5 is graph A.
Explanation: because x isn't being itself I mean by x isn't just 5 but greater than 5 (graph a)
graph b shows x being less than 5 which is wrong
graph c shows x being greater than 5 but being equal to 5 because of the bold circle
graph d shows everything wrong about x. first it's not suppose to be less than and second x isn't equal to 5
therefore the answer graph A.
--------------------------------------------------------------------
doomdabomb: all brainliest and thanks are appreciated
and would mean a lot to me, thanks!
Fill in the blank with the correct number.
The number
is divisible by 2, 3, 4, 6, and 10.
OA) 44
B) 180
C) 280
OD) 385
Answer:
385
Step-by-step explanation:
(PLEASE HELP AGAIN SORRY)
Find x.
A) 11.53
B) 12.12
C) 16.45
D) 15.92
Answer:
x = 15.92
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 53 = x / 12
12 tan 53 = x
x=15.92453
Rounding to the nearest hundredth
x = 15.92
Answer:
15.92
Step-by-step explanation:
The sum of two numbers is 21. Five times the first number added to 2 times the second number is 66. Find the two numbers.
PLEASE HELP NOW
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
2y-3x=10
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
Answer:
Step-by-step explanation:
Solve for y:
[tex]2y-3x=10\\2y=3x+10\\y=\frac{3}{2} x+5[/tex]
Therefore:
y = 3/2x + 5
m = 3/2
b = 5
Graph below courtesy of Desmos.
which of the following is equal to the square root of 27/16
Answer:
Step-by-step explanation:
Prime factorize 27 and 16
27 = 3 * 3 * 3
16 = 2 * 2 * 2 * 2
[tex]\frac{\sqrt{27}}{\sqrt{16}}=\frac{\sqrt{3*3*3}}{\sqrt{2*2*2*2}}[/tex]
[tex]= \frac{3\sqrt{3}}{2*2}\\\\\\=\frac{3\sqrt{3}}{4}[/tex]
Answer: (3√3)/4
Explanation:
√(27/16)
=(3√3)/4
Because 27 = 3²×3
And 16 = 4²
So 4 is left and one 3 goes out and one stays in
Please click thanks and mark brainliest if you like
Will give brainliest answer
Answer:
1/18
Step-by-step explanation:
In a year, the tiger population decays by a factor of (2/3). As there are 12 months in a year, the tiger population will decay by a factor of 1/18 every month
Which expression is equivalent to sqrt of (6x^5 z)^3/ 4x^4 z^2
Answer:
[tex]\frac{(6x^{5}z) ^{3} }{4x^{4} {z}^{2} } = \frac{216 {x}^{15}z^{3} }{4 {x}^{4} {z}^{2} } = \frac{4x ^{4} {z}^{2} (54x ^{11}z) }{4 {x}^{4} {z}^{2} } = 54 {x}^{11} z[/tex]
I hope I helped you^_^
Assume you are selling pizzas at $ 8 per pizza. Your fixed costs (rent, salaries, and utilities) are $4,438/month. The food costs and other variable costs are 40 percent of the selling price. What is your break-even point in units if you need to make 25% target return on the sales revenue? (enter only the value)
A company breaks even for a given period when sales revenue and costs incurred during that period are equal. Thus the break-even point is that level of operations at which a company realizes no net income or loss.
A company may express a break-even point in dollars of sales revenue or number of units produced or sold. No matter how a company expresses its break-even point, it is still the point of zero income or loss.
In order to grasp the concept of breakeven, it’s important to understand that all costs are not created equal: Some are fixed, and some are variable. Fixed Costs are expenses that are not dependent on the amount of goods or services produced by the business. They are things such as salaries or rents paid per month. If you own a car, then your car payment and insurance premiums are fixed costs because you pay them every month whether you drive your car or not. Variable Costs are volume related and are paid per quantity or unit produced. For your car, your variable costs are things like gas, maintenance, or tires because you only incur these costs when you drive your car. The more miles you drive, the more your gas expenses go up—such costs vary with the level of activity.
Before we turn to the calculation of the break-even point, it’s also important to understand contribution margin.
Bob travels from Inglewood to anytown; a distance of 20 km.
He walks 800 meters and cycles the rest of the way.
What percentage of the journey does he travel by bicycle?
Answer:
Total Distance = 20km = 20 × 1000 = 20,000 m
Distance walked = 800m
Distance travelled by cycle = 20,000 - 800 = 19,200m
Percentage of journey by cycle = (distance travelled by cycle ÷ total distance) × 100
Percentage of journey by cycle = (19200 / 20000) * 100
Percentage of journey by cycle = 96%
Solve for x: 10/3 = x/(−5/2)
9514 1404 393
Answer:
x = -25/3
Step-by-step explanation:
Multiply by the inverse of the coefficient of x. Reduce the fraction.
(-5/2)(10/3) = (-5/2)(x/(-5/2))
-50/6 = x = -25/3
Answer:
-25/3
Step-by-step explanation:
the other person is also correct. khan said so
Susan's haircut was $18 if she gave a 20% tip what will her total cost be
Answer:
21.60
Step-by-step explanation:
First find the tip
18 * 20%
18 *.2
3.60
Then add it to the cost of the haircut
18 + 3.60
21.60
PLEASE HELP!! WHOEVER HELPS FIRST AND GETS IT CORRECT GETS BRAILIEST!! By the way, TWO people need to answer so I can mark brainliest.
Answer:
0.045
Step-by-step explanation:
(0,4x0,5x0,3)-(0,2x0,5x0,15)
100 x 20 + 30 help me
[tex]\boxed{\underline{\bf \: Answer}}[/tex]
[tex] \sf100 \times 20 + 30[/tex]
First multiply 100 & 20 together.
[tex] \sf= 2000 + 30[/tex]
Now add 2000 & 30. You'll get :-
[tex]= \boxed{ \bf 2030}[/tex]
____
Hope it helps.
RainbowSalt2222
[tex]\\ \rm\longmapsto 100\times 20+30[/tex]
[tex]\\ \rm\longmapsto (100\times 20)+30[/tex]
Solve bracket[tex]\\ \rm\longmapsto 2000+30[/tex]
[tex]\\ \rm\longmapsto 2030[/tex]
18/13 as a decimals ?
Answer:
1.3846
Step-by-step explanation:
Answer as soon as you can. a. 162 comes just after b. What comes just before 182. lies in between 99 and 101. c.
Answer:
a. 161
b. 181
c. 100
Step-by-step explanation:
a. 162 comes just after 161 (160, 161, 162, 163...)
b. 181 comes just before 182 (180, 181, 182, 183...)
c. 100 is between 99 and 101 (98, 99, 100, 101, 102...)
I need help with this please if anyone know I will appreciate it
Answer:
290.44
Step-by-step explanation:
The whole figure area can be calculated by assuming that the whole floor is a complete square of 18.2 x 18.2 and subtracting the area of the rectangular cutout which is 10.2 x 4
Area of the the flooring=18.2 x 18.2 - (10.2*4)=290.44
6 more than the product of a number x and 5 is 21
Answer:
x = 3
Step-by-step explanation:
6 + 5x = 21
5x = 15
x = 3
I hope this helps
:)
Please help! Need the answers to be able to move on.
1.) 26 times 26^8
2.) (-5)^5/(-5)^-6
3.) 8^15 divided by 8^-3
4.) Which expressions are equivalent to 1? Select all that apply.
~-(5/8)^0
~-(-3141)^0
~1291^0
~0^1
~(1/3)^0
~(-0.0008)^0
Answer:
see below
Step-by-step explanation:
1.) 26 times 26^8 = 26^1 * 26^8 = 26^(1+8) = 26^9
2.) (-5)^5/(-5)^-6 = (-5)^(5 - -6) = (-5)^(5+6) = (-5)^11
3.) 8^15 divided by 8^-3 = 8^(15 - -3) = 8^(15+3) = 8^18
4.) Which expressions are equivalent to 1? Select all that apply.
~-(5/8)^0 - (1) no
~-(-3141)^0 - (1) no
~1291^0 1 yes
~0^1 yes
~(1/3)^0 yes
~(-0.0008)^0 yes
