Answer:
3x - 4 = 14
+4. +4
3x = 18
÷3. ÷3
x = 6
If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.
Answer:
[tex]\dfrac{x+y}{2}[/tex]
Step-by-step explanation:
Let first number be x and another number is y.
A rational number is a fraction that can be expressed in the form of x/y.
A rational number between x and y is given by :
[tex]R=\dfrac{x+y}{2}[/tex]
So,
If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.
Find the measure of the exterior angle.
Cool-down Melanie and Kala each started solving equation 2 for x. 1 (7x – 6) = 6x – 10 The result of Melanie's first step was: 3.5x = 6 = 6x - 10 The result of Kala's first step was: 7x - 6= 12x - 20 One of them made an error. Who was it, and what was the error?
I need to find who made the error and what was the error
Answer:
Kala's first step.
Step-by-step explanation:
Solving linear equations.
Step 1: Simplify each side, if needed. Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side. Step 3: Use Mult./Div. Step 4: Check your answer. I find this is the quickest and easiest way to approach linear equations. Example 6: Solve for the variable.But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.
on number 6 what should i color in
Answer:
For 5/11 shade in the third bubble (0.45 repeating)
A system of equations consists of two lines. One line passes through (8,4) and (6.3) and the second line passes through (0, -2) and (4.0).
Answer:
system is:
y = 1/2x
y = 1/2x - 2
No Solution to this system
Step-by-step explanation:
A homeowner installs a solar heating system, which generates 20 savings at a rate of 300e t dollars per year, t years after installation. Find a formula for the total savings after t years. If the system cost 30000 dollars to install, when will the savings match the installation cost
Answer:
"35.84 years" is the appropriate solution.
Step-by-step explanation:
The given values are:
Rate of savings generation,
[tex]s'(t)=300e^{\frac{t}{20} }[/tex]
System cost to install,
= $30000
Now,
The total savings will be:
⇒ [tex]s(t)=\int\limits s'(t) \ dt[/tex]
On substituting the values, we get
⇒ [tex]= \int\limits 300e^{\frac{t}{20} } \ dt[/tex]
⇒ [tex]s(t)=\frac{300e^{\frac{t}{20} }}{\frac{1}{20} }+c[/tex]
When,
Savings = 0
t = 0, then
⇒ [tex]0=6000e^o+c[/tex]
⇒ [tex]c=-6000[/tex]
The formula will be:
⇒ [tex]s(t)=6000[e^{\frac{t}{20} }-1][/tex]
On putting the values in the above formula, we get
⇒ [tex]30000=6000(e^{\frac{t}{20} }-1)[/tex]
[tex]5=e^{\frac{t}{20}}-1[/tex]
[tex]e^{\frac{t}{20} }=6[/tex]
On taking log, we get
⇒ [tex]\frac{t}{20} =log \ 6[/tex]
[tex]t=20 log 6[/tex]
[tex]=35.84 \ years[/tex]
The units for square centimeters are written as
Check all that apply.
O A. cm2
B. sq. cm
C. km2
D. sq.m
E cm
Which of the following sets of numbers could not represent the three sides of a right
triangle?
Answer:
{48, 64, 81}
Step-by-step explanation:
x - 8 = 68 what is the value of
x
x - 8 = 68
x - 8 + 8 = 68 + 8
x = 76
hope this helped
If f(x) = (x + 7)2 and g(x) = x2 +9,
which statement is true?
A fo)
B f(-4) > g(-3)
C f(1) = g(1)
D f(2) > g(2)
ANSWER : D
EXPLANATION : 81 > 13 is true
1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4
Answer:
-84
Step-by-step explanation:
Since m=-4, we can plug -4 into the expression and use PEMDAS
7(m - 8)
7((-4)-8)
7(-12)
-84
determine the mode of the set of data in the stem and leaf plot below
Answer:
51
Step-by-step explanation:
mode is the value which appears the most than other values. In this case 51 will appear 3 times.
Answer:
5.1
Step-by-step explanation:
dont forget the decimal
Help pleaseeeeeeeeeee
Answer:
d
Step-by-step explanation:
please help, is it x = 6, y = 6, y = x, or y = 2?
01:08:55
B
O
B
А
A'
2
D
C
ci
D'
Х
6
8
10
2
O x = 6
O y = 6
O y = x
O y=2
The equation for the line of reflection is x = 6
What is reflection?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, a graph, we need to find the equation of the reflection of the polygon graphed,
We can see, all the vertices on the polygon are being mirrored across the line x = 6.
So, we can say the line of reflection is x = 6.
Hence, the equation for the line of reflection is x = 6
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ7
A piece of blue yarn is 8 3/10 yards long. A piece of pink yarn is 4 times as long as the blue yarn. What is the total length of the blue and pink yarn
Answer:
41.5 Yards
Step-by-step explanation:8 3/10 * 4 = 33.2,
33.2+8 3/10 = 41.5
Use completing the square to find the equation of the following circle in standard form.
x2 + y2 - 4x + 12y - 16 = 0
Answer:
Here's a calculator that should help
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php
O There were 9 bags of
candy donated for the
neighborhood party.
Each bag contained
245 pieces. How much
candy did they have
for the party?
i need help with this questionnnn
Need your help answer correctly for 20 points! <3
12.50 dollars per hour
Answer:
$12.50
Step-by-step explanation:
Hi,
Cassie: 250 / 20 = 12.5
Marli: 312.50 / 25 = 12.5
Brad: 350 / 28 = 12.5
Each worker makes $12.50 per hour.
I hope this helps :)
you make a scale drawing of a banner for school dance .you use a scale of 1 inch ,2 feet what is the actual width of the banner HELP ASAP!!!!
Answer:
6.5
Step-by-step explanation:
you take the sides all added up (which was 13in) and divided it by two
Answer: the answer is 18. Trust me. I know what I’m doing lol
Step-by-step explanation:
A cab company charges a $10 boarding fee and a meter rate of $2 per mile. The equation is y=2x+10 where x represents the number of miles to your destination. If you traveled 5 miles to your destination, how much would your total cab be?
Answer: 20$
Step-by-step explanation: You would add 2(5)+10=y so 10+10=y 10 + 10 = 20
In this case (5,20). Hope this helps!!
What is the slope of the line that passes through the
points (4,-7) and (9, 1)?
A) 5/8
B) 8/5
C) -6/12
D)-13/6
Answer:
C) -6/12
Step-by-step explanation:
Sana nakatulong
Write an equation for the following scenario.
A 4000 fish population of tuna has been growing continuously at a rate of 0.3%.
[tex]4000(1.003)^{(x-1)}[/tex]
Step-by-step explanation:
The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term
is −22.
Which function can be used to find the nth term of the arithmetic sequence?
Answer:
aₙ = -3n + 8Step-by-step explanation:
The nth term of an arithmetic sequence: aₙ = a₁ + d(n - 1)
{d = common difference}
a₁ = 5
a₄ = 5 + d(4 - 1)
-4 = 5 + 3d
-4 - 5 = 3d
3d = -9
d = -3
Therefore;
aₙ = 5 + (-3)(n - 1)
aₙ = -3n + 8
Check: a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22
The nth term of the sequence is Tn = 8 - 3n
How to determine the function of the nth term?The given parameters are:
a = 5, first term
T4 = -4 --- the 4th term
T10 = -22 --- the 10th term
The nth term of an arithmetic sequence is:
Tn = a + (n - 1) * d
So, we have:
T4 = a + (4 - 1) * d
Substitute known values
-4 = 5 +(4 -1) * d
This gives
-4 = 5 + 3d
Subtract 5 from both sides
3d = -9
Divide by 3
d = -3
Recall that:
Tn = a + (n - 1) * d
So, we have:
Tn = 5 + (n - 1) * -3
Expand
Tn = 5 + 3 - 3n
Solve
Tn = 8 - 3n
Hence, the nth term of the sequence is Tn = 8 - 3n
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
Solve the system of equations below.
Please help! I need this answer right ! And I’m unsure can you LMK ASAP???
Answer:B
Step-by-step explanation:
help me find the answer please
Answer:
A x<1125
Step-by-step explanation:
please help is it 2/9?
Answer:
7/9
Step-by-step explanation:
7/9
Answer:
7/9
Step-by-step explanation:
Brainliest maaaybe? :)
Which expression is equivalent to 3t - 5 + 8t + 3 ?
Answer:
11t -2
Step-by-step explanation:
3t - 5 + 8t + 3
Combine like terms
3t +8t- 5 + 3
11t -2
Start by changing the problem to 3t + -5 + 8t + 3.
Now combine like terms.
Combine like terms → your numbers
and your "t" terms.
So 3t + 8t is 11t and -5 + 3 is -2.
So the answer is 11t - 2.
The copy machine runs for 20 seconds and then jams. About how many copies were made before the jam occurred? Round your answer to the nearest tenth
Answer:
10.7
Step-by-step explanation: