Answer:
x= -1/5
Step-by-step explanation:
1
Add 9x9x to both sides.
x+9x=-2x+9x=−2
2
Simplify x+9xx+9x to 10x10x.
10x=-210x=−2
3
Divide both sides by 1010.
x=-\frac{2}{10}x=−102
4
Simplify \frac{2}{10}102 to \frac{1}{5}51.
x=-\frac{1}{5}x=−51
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.
Answer:
100 miles
Step-by-step explanation:
Let the number of miles driven = x
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.
$55 + $0.25x
55 + 0.25x
For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.
$45 + $0.35x
45 + 0.35x
Equation :
55 + 0.25x = 45 + 0.35x
The number of miles for which the companies’ charges will be the same is calculated as:
55 + 0.25x = 45 + 0.35x
Collect like terms
55 - 45 = 0.35x - 0.25x
10 = 0.10x
x = 10/0.10
x = 100 miles
The number of miles for which the companies’ charges will be the same is
100 miles.
can someone help me with this?
Answer:
the answer is 200
Step-by-step explanation:
find the equation of the line shown
Answer:
y=2x
Step-by-step explanation:
Answer:
y = 2x
Step-by-step explanation:
y intercept = 0
slope = rise/run
rise = 2
run = 1
2/1=2
slope is 2
Evaluate the function f(x) = 2x+ 8 when x= 6
RE
What is the common difference in the following arithmetic sequence?
7, 3,-1, -5, ....
-3
4
12
Answer:
d = - 4Step-by-step explanation:
[tex]a_1=7\\a_2=3\\\\d=a_2-a_1=3-7=-4[/tex]Can someone please help me this question. It’s due today I will appreciate it .
Which of these sequences of transformations would not return a shape to its original position?
Group of answer choices
1. Translate 3 units up, then 3 units down.
2. Reflect over line p, then reflect over line p again.
3. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.
Answer:
4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.
Step-by-step explanation:
Option 1, 2 and 3 will return a shape back to its original because:
1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.
2. Reflect over line p, and over p again.
This actions are also direct opposite and also have the same effect as (1)
3. Translate 1 unit to the right and 3 units to the right.
This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.
4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.
Hence:
4 answers the question
what percentage is equal to 32/100
Answer:
32%
Step-by-step explanation:
32/100 is 32%
Ryan and two of his friends contribute $8.33 each, to buy a baseball bat from a sports shop. Find
the price of the baseball bat.
Answer:
24.99
Step-by-step explanation:
what is an expression equivalent to m^238/m^-79 in the form m^v, where v is an integer?
Answer:
[tex]m^{317}[/tex]
Step-by-step explanation:
In indices, the division postulate is true:
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
Apply this to the question:
[tex]\frac{m^{238}}{m^{-79}} \\= m^{238-(-79)}\\= m ^{238+79}\\= m^{317}[/tex]
Hence the expression expressed in the form [tex]m^v \ is \ m^{317}[/tex]
8. What is the result of (11x + 18i)(117 - 18i)?
what’s the first step?
Answer:
It's correct answer
Step 1: Multiply 4 times x then 4 times 4
Step-by-step explanation:
Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.
Answer:
37: 36
Step-by-step explanation:
You can not simplify. Have a good day!
Find the maximum value of the function f(x) = -x^2 + 3x +2
Answer:
4.25
Step-by-step explanation:
-x^2 + 3x + 2 = 0
Divide by -1
X^2 -3x - 2 = 0
x^2-3x+ =2+2.25
(x-1.25)-4.25
(x-1.5)
What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
Answer:
b=-7 or the y-intercept is -7
Step-by-step explanation:
-7= =3(0)+b
-7=b
M= 1/2
M= 2
M= -1/2
M=-2
Answer:
It should be 1/2
Step-by-step explanation:
What is the solution of 3x+8/x-4>_0?
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
Answer:
The answer is C on Edge
Step-by-step explanation:
A quarterback dropped back 5 yards behind the lone of scrimmage. Then, he passed the ball 14 yards. How far past the line of scrimmage did the ball travel? (Write an equation to represent this problem)
Answer:
9 yards
Step-by-step explanation:
-5 + 14 = 9
Find the mean of the binomial distribution for which n = 60 and p = 0.2. 10)
A) 3.1 B) 60 C) 12 D) 30
A geologist digs 5 feet down into the ground before taking a break. This process is repeated 3 times to create a hole that has a total depth of 15 feet. Which equation represents the hole’s depth in relation to ground level?
Answer:
38
Step-by-step explan
bc ik
2x
Y=——— solve for a
a + 2b
Answer:
y= 2b
Step-by-step explanation:
a +2b
so make a the subjects of formular
a= 2b
A package of 5 pairs of insulated gloves costs $33.95. What is the unit price of the pairs of gloves?
Answer:
6.79
Step-by-step explanation:
Divide the number of whatever you have, by the price of it in total to find the unit price.
Answer:
$6.79 per pair
Step-by-step explanation:
1. Divide
33.95/5
2. Simplify
33.95/5=$6.79
Choose the stems that would be used to create a stem-and-leaf plot from this data: 28, 32, 38, 30, 31, 13, 36 35, 38, 32, 38, 15, 13, 24
Answer:
Step-by-step explanation:
3
Answer:
The best stems would be: 1, 2, and 3
Step-by-step explanation:
When you are making the stem and leaf plots, you are using the diget in the tens place as the stem
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)
Answer:
ΔV = 2520 V
Step-by-step explanation:
We are given;
Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²
Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²
Now, formula for electric field strength is;
E = -(½ε)(|σ1| ± |σ2|)
ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²
|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.
Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;
E_in = -(½ε)(|σ1| + |σ2|)
E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]
E_in = -4200 V/m
In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;
E_out = -(½ε)(|σ1| - |σ2|)
E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]
E_out = 1400 V/m
The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;
From the attachment, we see that;
ΔV = 2520 V
Part A
What is the slope of the line?
A. - 1 / 2
B. -2
C.
D. 2
Part B
Conner says the graph shows that water is flowing at a rat of 2 gallons per minute. Is he correct? Use the drop-down menus to explain your answer
Conner (choose...) correct answer because the rate of the water flowing is (choose...) the slope. Water is flowing at a rate that is (choose...) 2 gallons per minute.
Answer:
2
Step-by-step explanation:
The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2
Is 6.825 rational or irrational
Answer:
rational since all decimals that terminate are rational here is a sheet to help
6.825 is rational number.
What are rational numbers?A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The set of rational numbers is denoted by Q.
Given number: 6.825
Now, we know Terminating decimals like 0.35, 0.7116, 0.9768, etc., are rational numbers.
So, we can see that 6.825 is terminating decimal.
Learn more about rational and irrational number here:
https://brainly.com/question/24398433
#SPJ2
any luck of help? I'll brainlist uu promise . I really need it for correction :)
Answer:
the cist of entry for x adults
Answer:
i think it would be d)
Step-by-step explanation:
cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable
hope this helped :)
I’ll give the Brainliest.
Answer:
1.w+15=165
2.w equals 165 multiplied by 15
Step-by-step explanation:
There's really no step-by-step explanation its pretty simple.
{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent
Answer:
The answer is 5³.
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]
[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]
So for this question :
[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = {5}^{10} \div {5}^{7} [/tex]
[tex] = {5}^{3} [/tex]
3. Combine terms: 12a + 26b -4b – 16a.
(a) 4a + 22b,
(b) -28a + 30b,
(c) -4a + 22b,
(d) 28a + 30b.
Ok this was the hardest to answer....
Answer:
C
Step-by-step explanation:
Add 12a + -16a
Add 26 + -4b