Answer:
x = 5
Step-by-step explanation:
If x + 5 = 10, then x would have to be 5 because 5 + 5 = 10.
The way you would solve this would be:
x + 5 = 10
subtract 5 from both sides of the equation
x + 5 - 5 = 10 - 5
simplify:
x = 5
x 3.4.40-BE
Quest
Suppose the supply for a certain textbook is given by P
Find the equilibrium quantity and the equilibrium price.
and demand is given by p= - +10, where p is the price and q is the quantity. The graph of these equations is shown to the right.
Answer:
(d) is correct
Equilibrium quantity is 4.5
Equilibrium price is 5
Step-by-step explanation:
Given
[tex]p = \frac{1}{4}q^2[/tex] -- supply
[tex]p = -\frac{1}{4}q^2 + 10[/tex] -- demand
Required
Find the equilibrium price
Equilibrium price is when:
[tex]Demand = Supply[/tex]
This means that (d) is correct
So, we have:
[tex]p =p[/tex]
[tex]\frac{1}{4}q^2 = -\frac{1}{4}q^2 + 10[/tex]
Collect Like Terms
[tex]\frac{1}{4}q^2 +\frac{1}{4}q^2= + 10[/tex]
[tex]\frac{1}{2}q^2 = 10[/tex]
Multiply both sides by 2
[tex]2*\frac{1}{2}q^2 = 2*10[/tex]
[tex]q^2 = 20[/tex]
Take the square root of both sides
[tex]q = \sqrt{20[/tex]
[tex]q = 4.47[/tex]
[tex]q = 4.5[/tex] -- approximated
The equilibrium price is:
[tex]p = \frac{1}{4}q^2[/tex]
Substitute value for q^2
[tex]p= \frac{1}{4}*20[/tex]
[tex]p = 5[/tex]
on zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one doll on each shelf?if she has 4 dolls before
(a) 720
(b) 30
(c) 360
(d) 6
Answer:
6 is the correct answer
Step-by-step explanation:
Hope it is helpful...
Help please!
I will mark you brainlest
8 The cost of a laptop increased by 25% between
2015 and 2019
In 2019. the laptop cost £1000
How much did the laptop cost in 2015?
Given:
The cost of a laptop increased by 25% between 2015 and 2019.
In 2019, the laptop cost £1000.
To find:
The cost of the laptop in 2015.
Solution:
Let x be the cost of the laptop in 2015.
The cost of a laptop increased by 25% between 2015 and 2019. So, the cost of the laptop in 2019 is
Cost of laptop in 2019 = [tex]x+\dfrac{25}{100}x[/tex]
= [tex]x+0.25x[/tex]
= [tex]1.25x[/tex]
In 2019, the laptop cost £1000.
[tex]1.25x=1000[/tex]
[tex]x=\dfrac{1000}{1.25}[/tex]
[tex]x=800[/tex]
Therefore, the cost of the laptop in 2015 is £800.
Three friends earned more than $197 washing cars. They paid their parents $28 for supplies and then divided the rest of the money equally. Enter an inequality to find possible amounts each friend eamed Identify what your variable represents. The inequality that represents the situation is a = select e select)
Answer:
x>169/3
Step-by-step explanation:
x- the money that each earned
3x>197-28
3x>169
x>169/3
Find the area of this parallelogram.
13 cm
15cm
A
20cm
Answer:
A = 260 cm^2
Step-by-step explanation:
[tex]a = b \times h \\ a = 20 \times 13 \\ a = 260 \: {cm}^{2} [/tex]
pls help quick Graph the inequality on a number line
Answer:
Your welcome
Step-by-step explanation:
Violet invests money in an account paying a simple interest of 6.3% per year. If she
invests $80 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?
Answer:
Your answer
85 dollar 4 cent
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
-8x less or equal to 38
Answer:
Less
Step-by-step explanation:
43508 divided bye 11
Answer:
3955.27272727
Step-by-step explanation:
The table shows the number of volleyballs that fit into a given number of containers. Each container holds the same number of balls. Enter the missing value from the table.
Answer: 7
Step-by-step explanation:
It's a 1 : 3 ratio so the answer should be 7
What is the rate of change in the equation y= 6x + 8
Answer:
6
Step-by-step explanation:
One season, the Hornets won 20 games. They played a total of 25 games. Write an equation to find the number of games the Hornets lost.
Answer:
25 - 20 = 5
Step-by-step explanation:
Since the Hornets have played a total of 25 games and won only 20 of them, you want the difference between the two to figure out how many games the Hornets lost.
t = total games played
w = games won
l = games lost
t - w = l
What is 1.24×10−6 in ordinary notation?
Answer:
24×10-6
First you multiply 24 and 10 which the answer is 240.
= 240-6
Then subtract 6 from 240
and your is...
=234
I used BODMAS which stands for
B - Brackets first
O - Operation second
D - Division third
M - Multiplication fourth
A - Addition fifth
S - Subtraction lastly
That's why we call it BODMAS...
A sum of money is divided among Khairul, Michael and Ethan in the ratio
6:4: 5. After Khairul gives $30 to Michael and $15 to Ethan, the ratio
becomes 7:6:7. Find the amount of money Khairul had initially.
Answer:
$360
Step-by-step explanation:
The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.
This would be 6x : 4x : 5x
Khairul gives $30 to Michael and $15.
The ratio is. Now;
(6x - 45) : (4x + 30) : (5x + 15)
We are told this is equal to the ratio 7:6:7
Thus;
((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7
(10x - 15)/(5x + 15) = 13/7
Factorize the left hand side;
5(2x - 3)/5(x + 3) = 13/7
5 will cancel out to get;
(2x - 3)/(x + 3) = 13/7
Cross multiply to get;
7(2x - 3) = 13(x + 3)
14x - 21 = 13x + 39
14x - 13x = 39 + 21
x = 60
Amount Khairul had initially was denoted as 6x.
Thus,6x = 5 × 60 = $360
Y=1/2x +6 y=2x what is the solution to the system
Answer:
x=4 and y=8
Step-by-step explanation:
The Continental Drift Hypothesis asserts that
our continents have been for millions of
years.
a Decreasing
b Rising
C Moving
d Growing
the area of this triangle ?
Answer:
8 cm
Step-by-step explanation:
Use pythagorean theorem to find the height (a and b are equal):
[tex]a^2+b^2=16\sqrt{2}^2\\a^2+a^2=16\sqrt{2}^2\\2a^2=16\sqrt{2}^2\\2a^2=16(2)\\a^2=16\\a=\sqrt{16}\\a=4[/tex]
Area is half of the base times height. Base and height are equal for this triangle.
[tex]\frac{1}{2}(4)(4)\\\frac{1}{2}(16)\\8[/tex]
which best illustrates the distinction between statistical significance and practical importance
Answer:
are there options? if so can you add them?
Step-by-step explanation:
A test has total of 80 marks to pass you need at least 45 percent how many marks do you need to pass?
Answer:
36
Step-by-step explanation:
45\100×80=36
Find the slope of the line through the points ( 6 x , 5 y ) and ( 4 x , y ) .
Answer:
2
Step-by-step explanation:
absolute value |27 1/4|
Answer:
421/33
Step-by-step explanation:
how many significant figures are in each of these problems
-2000+20.5
-106.2+54.07
Answer:
3 significant figuresStep-by-step explanation:
Problems given:
- 2000 + 20.5 = - 1979.5 ≈ -1980.0 ⇒ 3 significant figures - 106.2 + 54.07 = - 52.13 ≈ -52.1 ⇒ 3 significant figuresZeros at the end are not counted as significant figures
Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain.
Answer:
4 Grams of sugar
Step-by-step explanation:
(10*0.15) + (25*0.10)
1.5+2.5
4 grams of sugar.
pls rate dis 5 stars.
The soccer team must travle to the tournament. On a map, the tournament is 6.5 centimeters away. The map scale is 2 cm = 25 miles. How far will the team travel to get to the tournament?
Answer:
81.25 miles.
Step-by-step explanation:
We divide 6.5 by 2 to get 3.25, we then multiply 3.25 by 25 to get our answer.
A car weighs 4,000 pounds wich comparison is true
A.4,000 pounds < 2 tons
B. 4,000 pounds > 2 tons
C. 4,000 pounds < 8,000 ounces
D. 4,000 pounds = 2 tons
Answer:
D
Step-by-step explanation:
2000=1 ton so 4000=2tons
Answer:
D 4000 pounds=2 tons
Step-by-step explanation:
2 tons is equal to 2000 pounds so 2 tons equal to 4000 pounds.
Find the quotient.
35.4 ÷ 0.59
Answer:
35.4÷ 0.59=60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
35.4 ÷0.59= 60
(hope this helps can i plz have brainlist :D hehe)
identify the slope in -4x+3y=26
Cycle City charges an initial price of $15 plus $0.75 per hour for bike rentals, which is
represented by the expression 15 +0.75h.
• Complete each statement to describe the terms.
• The variable h represents ?
The constant 15 represents ?
The variable term 0.75h represents ?
Answer:
Step-by-step explanation:
I 2
3 and 4
The value in dollars of a $5,000 investment after n years is given by
f(n) = 5,000(1.05)n.
Find the value of the investment (in dollars) after 4 years.
Answer:
6077.53125
Step-by-step explanation:
F(4)=5,000(1.05)^4
f(4)= 6077.53125