6x + 2 = 5x + 17, would there be one unique solution? What is it?
Answer:
X = 15
Step-by-step explanation:
1.- Rewrite the equation, Put like terms on the same side
6x - 5x = 2 - 17
Instead of adding subtract
2.- Divide 1 on both sides
1x = 15
You should only have X on the left side
3.- You should have
X = 15
how many solutions are there to x > 3 and what are they?
Answer:
two solutions
Step-by-step explanation:
x = 3 and -1
A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment grade bonds at 8%, how much should she invest in each?
Answer:
She should invest 150,000 in government bonds and 50,000 in investment grade bonds
Step-by-step explanation:
Let the amount invested in government bonds be $y while the amount invested in investment bond be $x
Since total is $200,000
Then:
x + y = 200,000 ••••••(i)
Since 13,000 is what is expected to be earned, then this is like the interest.
thus;
6% of x + 8% of y = 13,000
6x/100 + 8y/100 = 13,000
Multiply through by 100
6x + 8y = 1300000 •••••••(ii)
From i, x = 200,000 - y
insert this into ii
6(200,000-y) + 8y = 1300000
1200000-6y + 8y = 1300000
2y = 1300000-1200000
2y = 100,000
y = 100,000/2
y = 50,000
but x + y = 200,000
thus, x = 200,000 - 50,000
x = 150,000
Evaluate a2-b for a = 8 and b = 17.
The value of the expression is
Answer:
-1
Step-by-step explanation:
Assumuning your asking what a2-b is.
8(2) - 17
-1
Answer:
-1
Step-by-step explanation:
If A= 8 and B= 17...
8(2)-17
16-17
-1
Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is
- 69." What is Peter's number?
Answer:
Peter's number is 36.
Step-by-step explanation:
If you subtratct 13 from 36, you get 23.
If you multiply that times -3, you get -69.
(The way I got 23 was by dividing -69 and -3)
I hope this helped you even though it's late.
x + (2x + 40) + (3x – 50) = 15,002
Answer:
2497.22...
Step-by-step explanation:
Answer:
x + (2x + 40) + (3x - 50) = 15002
Remove the parentheses
x + 2x + 40 + 3x - 50 = 15002
Combine like terms
x + 2x + 3x + 40 - 50 = 15002
6x - 10 = 15002
6x = 15002 + 10
6x = 15012
x = 15012/6
x = 2502
Step-by-step explanation:
Hope it helps :)
Brainliest pls?
Use the distributive property to write an equivalent expression.
8(4t + 9)
Answer:
32t+72
Step-by-step explanation:
Which equation has solution x = -3?
A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x+8=10
D) 1/2(2x-6)=-6
Answer:
D) 1/2(2x-6)=-6 = x = -3
Step-by-step explanation:
A. x = 3
B. x = 7/3
C. x = 4
D. x = -3
Solve for x:
(2 x - 6)/2 = -6
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (2 x - 6)/2 = -6 by 2:
(2 (2 x - 6))/2 = -6×2
Hint: | Cancel common terms in the numerator and denominator of (2 (2 x - 6))/2.
(2 (2 x - 6))/2 = 2/2×(2 x - 6) = 2 x - 6:
2 x - 6 = -6×2
Hint: | Multiply 2 and -6 together.
2 (-6) = -12:
2 x - 6 = -12
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
2 x + (6 - 6) = 6 - 12
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
2 x = 6 - 12
Hint: | Evaluate 6 - 12.
6 - 12 = -6:
2 x = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = -6 by 2:
(2 x)/2 = (-6)/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = (-6)/2
Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.
The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:
Answer: x = -3
Please help! Will give brainliest!
Answer:
D.5
Step-by-step explanation:
4*5=20
8*5=40
12*5=60
..etc
brainliest?
Reduce your answer to its lowest term 2 1/5 + 5 4/5=
Answer:
8
Step-by-step explanation:
2 1/5 + 5 4/5 =
2 + 5 = 7
1/5 + 4/5 = 1
1 + 7 = 8
What is an equation of the line that passes through the point (-2, -3) and is
parallel to the line 4x - y = 12
Answer: y = 4x + 5
Step-by-step explanation:
Find the slope of the second line.
4x - y = 12
-y = -4x + 12
y = 4x - 12
slope = 4
Therefore, the slope of the second line must also be 4.
Use point-slope form to write the equation.
y + 3 = 4(x + 2)
y = 4x + 5
If NK = 23, what is the value of x?
If PQ = 2.1 and QR = 0.8, what is PR?
Answer:
2.9
Step-by-step explanation:
If the order is P, Q, R on the number line, add both segments together.
Evaluate the following algebraic expression for the given value of the variable
Answer:
[tex]\boxed{8}[/tex]
Step-by-step explanation:
-Solve the following expression when [tex]x = 4[/tex]:
[tex]\frac{5x + 12}{4}[/tex]
-Apply the value of [tex]x[/tex] onto the equation:
[tex]\frac{5x + 12}{4}[/tex]
[tex]\frac{5(4)+ 12}{4}[/tex]
-Multiply both the [tex]5[/tex] and [tex]4[/tex]:
[tex]\frac{5(4)+ 12}{4}[/tex]
[tex]\frac{20+ 12}{4}[/tex]
-Add both [tex]20[/tex] and [tex]12[/tex]:
[tex]\frac{20+ 12}{4}[/tex]
[tex]\frac{32}{4}[/tex]
-Divide [tex]32[/tex] by [tex]4[/tex]:
[tex]\frac{32}{4}[/tex]
[tex]\boxed{8}[/tex]
So, therefore, the final answer is [tex]8[/tex].
Answer:
Step-by-step explanation:
My answer is 8!!!
If x is equal to 4 then 5x4=20 because if there is no sign then that means that you have to multiply, then you add 20 and 12 which is equal to 32, And then you simplify 4 which equals 8, or you can think of dividing 32 and 4 which is also 8.
Can you help me with this problem? 292.4 ÷ 17
Thanks I appreciate your help
Stay safe during quarantine! Have a nice day
Answer:
17.2
Step-by-step explanation:
divide the numbers together and it will equal 17.2
-0.8x+40-8x-35 need help asap
Answer:
-8.8x + 5
Step-by-step explanation:
Equation:
-0.8x + 40 - 8x - 35
-0.8x -8x + 5
-8.8x + 5
*This answer might be from a misunderstanding*
Answer:
-8.8x + 5
Step-by-step explanation:
See attached picture!!
Hope this helps!!
15+3x=45 I'm sorry but there will be a lot of questions I need to ask. But can someone help me with this one too?
Answer:
x=10
Step-by-step explanation:
15+3x=45
-15 -15 *first subtract 15 from both sides
3x=30 * then divide by 3 on both sides to get x by itself
/3 /3
x=10
theres ur answer :D
Someone please help me!!!
A factory can make 300 dozen doughnuts an hour. What is the unit rate in doughnuts per minute?
O 60 doughnuts a minute
O 58 doughnuts a minute
O 56 doughnuts a minute
50 doughnuts a minute
Answer:
60 doughnut per mintute
Step-by-step explanation:
Which of the following is an example of a rational number that is not an integer?
What is 1/5 divided by 3/4? Then what is it reduced to lowest terms?
Answer:4/15
Step-by-step explanation:
Take 3/4 and flip it in half, making it 4/3, then multiply that by 1/5.
Answer:
4/15
Step-by-step explanation:
to divide fractions. flip the second fraction. then multiply
3 4
4 3
1 x 4 = 4
5 x 3 15
can't be simplified any further
A negative number is raised to an even exponent. The result is
zero
one
O positive
negative
Answer:
positive I guess that's the answer
Answer:
positive
Step-by-step explanation:
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One day, the equipment elevator begins to descend. After 33 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time, which elevator is deeper?
Answer:
The position of the equipment elevator is 180 feet deep
The position of the miner's elevator is 156 feet deep
The equipment elevator is deeper.
Step-by-step explanation:
From the question,
For the equipment elevator
Velocity (v) = 4 feet/second
and for the miner's elevator,
Velocity (v) = 13 feet/second
To determine the position of each elevator, the position can be related to the distance covered.
From
Velocity = Distance / Time
Distance = Velocity × Time
Now, from the question,
The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.
Now, for the equipment elevator
Velocity = 4 feet/second
Time = (33 + 12 seconds) = 45 seconds
From
Distance = Velocity × Time
Distance = 4 × 45
Distance = 180 feet
The position of the equipment elevator is 180 feet deep
For the miner's elevator,
Velocity = 13 feet/second
Time = 12 seconds
Also, from
Distance = Velocity × Time
Distance = 13 × 12
Distance = 156 feet
The position of the miner's elevator is 156 feet deep
Hence, the equipment elevator is deeper.
The difference of twice a number and 3 is at most -21
Answer:
The equation: 2n - 3 ≤ -21
The answer to the equation: n ≤ 9
Step-by-step explanation:
How to get the equation:
The difference of symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2n - 3. The n symbolizes the number.
is at most symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.
Now are equation is 2n - 3 ≤ -21
How to solve it:
2n - 3 ≤ -21
Add 3 to both sides of the equation
2n ≤ 18
Divide both sides of the equation by 2
n ≤ 9
Solve for x.
x/2≥−4
this is an inequality, could you explain as well? will give out brainliest answer :)
Answer:
x≥-8
Step-by-step explanation:
Let's do this step by step:
Step 1-
Take x/2≥-4. Now multiply both sides by 2 to isolate the x variable. Multiplying x/2 by 2 removes the denominator.
Step 2-
Since we are multiplying both sides by 2, we also have to multiply -4 by 2. We get -8
Step 3-
Therefore, x≥-8
Hope that helps :)
BRAINLIEST
What is the distance between points F(2,9) and G(4,14)? Round to the nearest whole number.
Give only the quantity in your response.
Your answer
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
A.-4
B.-2
C. -1
D. 1
simplify 8/9 over 20. 8/9/20
2 over 45
Step-by-step explanation:
i divide 8over9 by 20
a lab uses negative numbers to describe a car moving backward on a road if the car was at -75.5 feet ,went forward 23 feet and then forward again 14.5 feet where is the car now
Given f (x) = 2x3, find f-1 (16).
O A. y=v2
O c. y=234
O B. y = 2
O D. 9= 22
PLEASE HELP ITS DUE IN 10 minutes
Answer:
D
Step-by-step explanation:
yo so basically started blasting