The solution for x of the inequality x-c/d > y (for d > 0) is x > d * y + c.
Here,
To solve the inequality for x, we'll isolate x on one side of the inequality:
Given inequality: (x - c) / d > y
First, we'll multiply both sides of the inequality by d to get rid of the fraction.
Remember that since d > 0, we don't need to reverse the inequality:
d * [(x - c) / d] > d * y
Next, the d on the left side cancels out, and we have:
x - c > d * y
Now, to isolate x, we'll add c to both sides of the inequality:
x - c + c > d * y + c
x > d * y + c
So the solution for x is x > d * y + c.
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a medium egg has a mass of 50 grams what is the mass of a 8 medium egg
a 40 l
b 400 g
c 40 g
d 400 kg
Answer:
400 grams.
Step-by-step explanation:
The mass of one medium egg is 50 grams. To solve for 8 medium eggs. Multiply.
50 * 8 = 400
400 grams.
1, 4/3,16/9
Find the 9th term.
Answer:
The 9th term of the sequence is:
[tex]a_9=\frac{65536}{6561}[/tex]Step-by-step explanation:
Given the sequence
1, 4/3,16/9
computing the ratios of all the adjacent terms
[tex]\frac{\frac{4}{3}}{1}=\frac{4}{3},\:\quad \frac{\frac{16}{9}}{\frac{4}{3}}=\frac{4}{3}[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]r=\frac{4}{3}[/tex]
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
As
[tex]a_1=1[/tex][tex]r=\frac{4}{3}[/tex]so substituting [tex]a_1=1[/tex] and [tex]r=\frac{4}{3}[/tex] in the nth term of the equation
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=\left(\frac{4}{3}\right)^{n-1}[/tex]
Now, substitute n = 9 to determine the 9th term
[tex]a_9=\left(\frac{4}{3}\right)^{9-1}[/tex]
[tex]a_9=\left(\frac{4}{3}\right)^8[/tex]
[tex]a_9=\frac{4^8}{3^8}[/tex]
[tex]a_9=\frac{65536}{6561}[/tex]
Therefore, the 9th term of the sequence is:
[tex]a_9=\frac{65536}{6561}[/tex]Help me please i'm bad at math
PLEASE HELP DUE IN 5 MIN... Carson has a smart phone data plan that costs $40 per month that includes 2 GB of data, but will charge an extra $10 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by xx GB?
Answer:
a. $70
b. $(40 + 10x)
Step-by-step explanation:
The standard cost of the charges is $40 per month but an extra $10 per GB over the included amount.
a. Firstly the cost for a month in which he uses 3GB over the limit
we have a standard of $40, then he has to pay $10 per GB for the 3GB over the limit.
Thus the cost of the 3GB is $10 * 3 = $30
The total cost for using 3GB above the limit would be $40 + $30 = $70
b. For using x GB above the limit
He has to pay $10 per each GB above the limit
Thus, the amount to be paid for x GB above the limit would be x * $10 = $10x
So the total amount to be paid would be the base fee plus over the limit fee= $(40 + 10x)
[tex]-4 ( x + 1/16 )[/tex]
Answer:
-4x - 1/4
Step-by-step explanation:
-4(x + 1/16)
-4x - 1/4
need help with this question
Answer:
1 and 3, 2 and 4
Step-by-step explanation:
Supplementary angles total to 180° or should form a straight line. 1 and 3, 2 and 4 are vertical angles which equal one another and are not supplementary.
x(y - 4)
I’m very bad at this
Answer: That would be xy−4x <3 hope it helps
Step-by-step explanation: all u have to do is multiply the polynomials
Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.
[4 marks]
Step-by-step explanation:
For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.
For px² + 8x + 2 = 0,
We have a = p, b = 8 and c = 2.
=> (8)² - 4(p)(2) < 0
=> 64 - 8p < 0
=> 8p > 64
=> p > 8
Hence the range for p is p > 8.
Find the slope of the line.
*
The graph below shows f(x), which represents a parent
function, and g(x), which represents a translation of that
function.
Which statements about the functions are true? Check
all that apply.
Fx) = (1/2)^x
g(x) = (1/2)^x+4 -2
The ranges of both functions are the same.
The domains of both functions are the same.
The translation from f(x) to g(x) is right 4 units and
down 2 units.
Answer:
A. [tex]f(x)= \frac{1}{2}^x[/tex]
D. The domains of both functions are the same
E. The translation between [tex]f(x)[/tex] to [tex]g(x)[/tex] right 4 units and down 2 units.
Hiya how r u
Plz answer this question and explain
☃️
72/8=?/1 i need help
Answer:
1/9
Step-by-step explanation:
hope this helps <3
mark me brainliest thanks <3
help2 plsssssss
sssssssssssssssssssssss
Answer:
I think it's A) 75
Step-by-step explanation:
Since the ratio for black to white hexagons is 3:4 we just need to find x:100
4 x 25 = 100
3 x 25 = 75
For each system of equations, drag the true statement about its solution set to
the box under the system. Need help ASAP please!
If gas costs $3.19 per gallon, how many whole
gallons of gas could you buy with $42.00?(Make sure to use a whole number)
Answer:
13 gallons
Step-by-step explanation:
42 / 3.19 = 13.166144200626959,
which can be rounded down to 13 whole gallons.
Answer:
13 GALLONS
Step-by-step explanation:
If gas costs $3.19 per gallon, how many WHOLE
gallons of gas could you buy with $42.00?
$42= 13.17 gallons
how many WHOLE gallons? :
13 gallons
theres 2 questions and an image provided
1. if a= 6 and b=2 them what does a^b equal
2. according to the graph, which of these is true?
a. the later the day it is, the hotter it is
b. temperature goes up and then down during the day
c. temperature is always lowest in the evening
d. temperature decreases when it rains
Answer:
8). 36
10). Option 2
Step-by-step explanation:
8). If a = 6 and b = 2
Then [tex]a^{b}=6^{2}[/tex]
= 36
10). This graph has two parts.
First part shows the increase in the temperature with time in the morning.
Second part shows the decrease in the temperature in the evening.
So the graph represents the rise in temperature then down during the day.
Option 2 is the correct option.
Need someone to help with this, Please and thanks
its 17 a, -4 b, 1 c, and -2 d
a = 4
b = -3
c = 8
d = 29
hope it's helpful ❤❤❤❤
THANK YOU.
My spanish teacher just embarrassed me in front of everyone. How is everyone else doing?
Answer:
Don't wanna do math :(
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £110 is
decreased to £98.
Answer:
10.91% decrease
Step-by-step explanation:
98/110 x 100 = 89.090909
100 - 89.0909 = 10.909090 to 2dp is 10.91%
which of the following numbers is irrational
Answer:
E
Step-by-step explanation:
Irrational means cannot be put into a fraction. Or random repeating decimals is how I remember it.
√48 can be simplified to equal 4√3. √3 cannot be put into fraction form.
Solve the inequality 5(x + 1) > 50
Answer:
Step-by-step explanation:
Here you go mate
∴Use PEMDAS
Parenthesis,Exponent,multiplication,Division,Addition,Subtraction
Step 1
5(x+1)>50 Equation/Question
Step 2
5(x+1)>50 Remove parenthesis
5x+5>50
Step 3
5x+5>50 Subtract 5 from sides
5x>45
Step 4
5x>45 Divide sides by 5
Answer
x>9
Hope this helps
Answer:
Step-by-step explanation:
I can help
Step 1
5(x + 1) > 50 Simplifying
Step 2
5(x + 1) > 50 Remove the parenthesis by dividing both sides by 5
x+1>10
Step 3
x+1>10 Subtract 1 from both sides
x+1-1>10-1
Answer
x>9
Hope this helps
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 6), and then walks to a movie theater at (7, 6). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk? Blank Tommy walks blocks.
Answer:26 blocks
Step-by-step explanation:
Solve for a :4a-7=5a+1
Answer:
A= -8
Step-by-step explanation:
Subtract 5a from both sides.
Combine 4a and −5a to get −a.
Add 7 to both sides.
Finally, Multiply both sides by −1.
Pls mark brainliest.
Answer:
a = -8
Step-by-step explanation:
4a - 7 = 5a + 1
subtract 1 from both sides of the equation
4a - 7 - 1 = 5a + 1 - 1
4a - 7 - 1 = 5a
4a - 8 = 5a
subtract 4a from both sides of the equation
4a - 4a - 8 = 5a - 4a
-8 = 5a - 4a
-8 = 1a
-8 = a
Use the function c=r+6 to find the value of c when r=10. c=
Answer:
c=16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
c = r+6
If r = 10 then,
c = 10+6
c = 16
5/5 x 2/34 will be less than greater than or equal to
Answer:
It would be less than becuase 5/5=1 an 2/34= 17
Step-by-step explanation:
What is the value of q in the solution to this system of equations?
2m - 5q= 8
4m + 2q = 64
Answer: I’m guessing 9
Step-by-step explanation:
fvccckkk school lol
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
2m - 5q = 8
4m + 2q = 64
The value of q in the solution to the equations is 4.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
2X = 4 is an equation.
We have,
2m - 5q = 8 ____(1)
4m + 2q = 64 _____(2)
From (1) we get,
2m = 8 + 5q
Divide both sides by 2.
m = (8 + 5q)/2 ______(3)
Now,
Putting (3) in (2) we get,
4m + 2q = 64
4/2 (8 + 5q) + 2q = 64
2 (8 + 5q) + 2q = 64
16 + 10q + 2q = 64
16 + 12q = 64
12q = 64 - 16
q = 48/12
q = 4
Now,
q = 4 in (3) we get,
m = (8 + 5q) / 2
m = (8 + 5 x 4) / 2
m = (8 + 20) / 2
m = 28 / 2
m = 14
Thus,
The value of q in the solution to the equations is 4.
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From triangle PQR is P = 90°, PQ = 15.5 dm and PR = 11,7 dm. Calculate QR in dm. Round to one decimal.
Answer:
QR = 19.4
Step-by-step explanation:
Use Pythagoras because p = 90°
Qr is hypotenuse
; (15.5)² + (11.7)²
= 377.14
√377.14
= 19.42009
= 19.42
= 19.4
hope it helps ☺️
The Texas Renaissance Festival charges an entrance fee of $10 and $0.50 per ticket for the rides. The State Fair of Texas charges an entrance fee of $16 and requires $0.25 per ticket for the rides. How many tickets must be bought in order for the total cost at The Texas Renaissance Festival to be the same as The State Fair of Texas?
a
8
b
24
c
16
d
12
Luke's parents hired a clown for his birthday party. The clown charges $100 plus an
additional $20 per hour. If h represents the hours, which expression represents how
much Luke's parents spent on the clown?
20h + 100
h
100 +
20
100h + 20
100 + h
Answer:
100+20h
Step-by-step explanation:
100 is fee plus 20h which is 20 per hour
I have 3 1/2 bottles of maple syrup. I filled nine one quart bottles with syrup. How much syrup do I have left?
Answer:
[tex]\frac{25}{4}[/tex] bottle of syrup is left
Step-by-step explanation:
Total amount of syrup [tex]= \frac{31}{2}[/tex]
Bottles filled with syrup [tex]= 9\frac{1}{4}[/tex]
Syrup left
[tex]= \frac{31}{2} - 9\frac{1}{4}\\= \frac{31}{2} - \frac{37}{4}\\= \frac{62-37}{4}\\= \frac{25}{4}[/tex]
[tex]\frac{25}{4}[/tex] bottle of syrup is left