Answer:
4
Step-by-step explanation:
x + 2y = 2 + 2(1)
= 2 + 2
= 4
the sides of a rectangle are -5x+ 10 and x-4. Write an expression for its perimeter
Answer:
-8x+12
Step-by-step explanation:
the perimeter is equal to 2l+2w
so the perimeter would be 2(-5x+10)+2(x-4)
so we just have to use distributive property to simplify it
2x-5x=-10x 2x10=20 2xx=2x 2x-4=-8
now we have -10x+20+2x-8
the last step would be to combine like terms
-10x+2x=-8x
20-8=12
so the expression would be -8x+12
hope this helps :)
Mr. Brady asked his students how long it took them to complete their homework from the previous night. He presented the results in the line plot shown. How many minutes did the greatest number of students take to do their homework? How many combined hours did those particular students spend on homework explain.
Answer:
The question is lacking the accompanying line plot, I found a matching line plot online:
Answers:
a) The number of minutes te greatest number of students took to do their homework = 40 minutes
b) The number of combined hours the students spent on their homework [tex]= 5\frac{1}{3}\ hours[/tex]
Step-by-step explanation:
From the diagram, the greatest number of students ( 8 students) take 2/3 hours to do their homework. Converting this time to minutes:
1 hour = 60 minutes
∴ 2/3 hours = 60 × 2/3 = 120/3 = 40 minutes
∴ 40 minutes is the time the greatest number of students take to do their homework
b) combined hours those students did their homework is calculated as follows:
total time = (number of hours used by 1 student) × number of students
[tex]Total\ time = \frac{2}{3} \times 8 = \frac{16}{3}\\= 5\frac{1}{3} \ hours[/tex]
If the sales tax rate is 7%, how much tax would Luis pay for a $325 bicycle?∨
Answer:
24.20 tax
369.98 total
Step-by-step explanation:
An account earns simple interest.
$350 at 3% for 10 years
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
interest earned: $105
balance of the account: $455
Step-by-step explanation:
Interest earned and The balance of the account are $105 and $455.
Simple Interest:Given:
Amount invested = $350
Interest rate = 3% = 0.03
Number of year = 10 years
Find:
Interest earnedThe balance of the accountComputation:
simple interest earned = PRT
Interest earned = (350)(0.03)(10)
Interest earned = $105
The balance of the account = 105 + 350
The balance of the account = $455
Find out more information about 'simple interest'
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Please answer will give brainliest
Answer:
24 ft²
Step-by-step explanation:
AC = 10-(3+3)= 4
AB = 12- (3+3) = 6
AB×AC = 6×4 = 24 ft²
If ( square root of 128 - square root of 72) is divided by square root of 8, the result is?
Answer:
[tex] \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1[/tex]
HOPE IT HELPS! :)
Pour teacher has disabled instant marking. Your marks will appear after the due date.
y is inversely proportional to x.
When y = 7, x = 9
a) Work out an equation connecting y and x.
b) Work out the value of y when x = 21.
How do i find k?
Answer:
a) y = 63/x
b) y = 3
Step-by-step explanation:
Inverse proportionality between two variables means that if one of them increases, then the other one decreases.
These type of relationships can be written as:
y = k/x
Now we know that when y =7, x = 9
Then we can replace these two values and find the value of k.
7 =k/9
7*9 = k
63 = k
The our relationship is:
y = 63/x
This is the solution to a).
Now let's go with b)
We want to find the value of y when x = 21. then we just need to replace x by 21 in the equation "y = 63/x"
We will get:
y = 63/21 = 3
When x = 21, y is equal to 3.
what equation is equal to: 5x-(9-6x)
Answer:
x = 9
Step-by-step explanation:
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9
Combine like terms: 0 + -9 = -9
-1x = -9
Divide each side by '-1'.
x = 9
Did the vertical or horizontal asymptote change? If it didn’t change, why not?
Answer:
I think it didnt change
Step-by-step explanation:
Cause both areas from the line are the same and if it were to change the left would be diffrent from the right. So there i think it didnt change.
help :(( if the point (-3,-4) lies on a graph of the equation 3y=ax+6, then value of a
Answer:
The value of [tex]a[/tex] is 6.
Step-by-step explanation:
Let the line be represented by [tex]3\cdot y = a\cdot x + 6[/tex], where [tex]x[/tex], [tex]y[/tex] are the independent and dependent variable, respectively. The explicit form of the formula is:
[tex]y = \frac{a}{3}\cdot x +2[/tex] (1)
To know the value of [tex]a[/tex], ,we need the values of [tex]x[/tex] and [tex]y[/tex] and solve the resulting expression: [tex](x,y) = (-3,-4)[/tex]
[tex]-4 = \frac{a}{3} \cdot (-3)+2[/tex]
[tex]-4 = -a + 2[/tex]
[tex]a = 6[/tex]
The value of [tex]a[/tex] is 6.
What is the total cost of a dress if the regular price is $65
and the sales tax is 3.25%?
Answer:
$67.11
Step-by-step explanation:
3.25/100=0.0325
65*0.0325=2.1125=2.11
65+2.11=67.11
151 241
12 12
102
101
35
Perimeter
?
Simplify your answer completely
9514 1404 393
Answer:
119 4/7
Step-by-step explanation:
The perimeter is the sum of side lengths.
10 1/7 + 12 2/7 + 15 3/14 + 24 1/14 + 12 2/7 + 10 1/7 + 35 3/7
= (10 + 12 + 15 + 24 + 12 + 10 + 35) + (1 + 2 + 2 + 1 + 3)/7 + (3 + 1)/14
= 118 + 9/7 + 4/14
= 118 + 1 2/7 + 2/7
= 119 4/7 . . . . perimeter of the figure
I really need help with math we are learning about lines,rays,and line segments and in confused.
Answer:
lines are straight, rays have one point and then a never ending arrow, line segments have 2 ends. i hope this helps.
Step-by-step explanation:
I took math and it will help you too
Divide 128 chairs among 3 rooms in the ratio of 1 : 3 : 4.
Answer:
Step-by-step explanation:
1x+3x+4x= 128
8x=128
x=128/8
x=16
therefore,
room 1 = 1x
= 1*16=16
room 2 = 3x
=3*16=48
room 3 = 4x
=4*16=64
PLS MARK BRAINLIEST, THNX
2 inches = 5 ft find the actual length...pls help Asap
Answer:
if the drawing length is 5 inches, the actual length in feet would be 12.5 ft
Step-by-step explanation:
2 inches = 5 ft
1 inch = 2.5 ft
5*2.5=12.5 ft as final answer.
hope it helps
1. ∠XVR =
2. ∠RVS =
3. ∠WVS =
4. ∠RST =
5. ∠RSV =
6. ∠VSU =
7. ∠UST =
8. ∠TUS =
Answer/Step-by-step explanation:
1. ∠XVR = 180 - <XVW (angle on a straight line)
∠XVR = 180 - 55°
∠XVR = 125°
2. ∠RVS = <XVW (Vertical angles are congruent)
∠RVS = 55°
3. ∠WVS = ∠XVR (vertical angles are congruent)
∠WVS = 125°
4. ∠RST = <R + <RVS (exterior angle theorem)
<RST = 55 + 55
<RST = 110°
5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)
∠RSV = 180 - (55 + 55)
∠RSV = 70°
6. ∠VSU = <RST (vertical angles are congruent)
<VSU = 70°
7. ∠UST = <RSV (vertical angles)
<UST = 70°
8. ∠TUS = 180 - (<UST + <T) (sum of triangle)
<TUS = 180 - (70 + 71)
<TUS = 39°
anyone please write an easy solution to solve this linear equation with brackets:
16-4(x+3)=2x
anyone pls explain i keep getting 7/2!!
Answer:
[tex] \large \boxed{x = \frac{2}{3} }[/tex]
Step-by-step explanation:
Goal
Solve the equation for x-term.Given
Equation[tex] \large{16 - 4(x + 3) = 2x}[/tex]
Step 1
Distribute/Expand 4 in the expression.[tex]16 - 4x - 12 = 2x[/tex]
Step 2
Isolate x and combine like terms.[tex]16 - 12 = 2x + 4x[/tex]
Step 3
Solve the equation for x-term[tex]4 = 6x \\ \frac{4}{6} = x \\ \frac{2}{3} = x[/tex]
Step 4
If you are not sure that the answer is correct, I suggest to check the answer by substituting the value of x in the equation.[tex]16 - 4x - 12 = 2x[/tex]
Substitute x = 2/3 in the equation.
[tex]16 - 4( \frac{2}{3} ) - 12 = 2 (\frac{2}{3} ) \\ 4 -4( \frac{2}{3} ) = 2( \frac{2}{3} )[/tex]
Evaluate
[tex]4 - \frac{8}{3} = \frac{4}{3} [/tex]
Move -8/3 to add with 4/3.
[tex]4 = \frac{4}{3} + \frac{8}{3} \\ 4 = \frac{12}{3} \\ 4 = 4[/tex]
The equation is true for x = 2/3. Hence, the solution is x = 2/3.
Hope this helps! Any questions about the answer can be asked in comments.
~ Vectør ~
PLEASE HELP ME QUICK!!
hope this helps! GL!
Answer:
B po
Step-by-step explanation:
hope its help youwithmy answer
When Alexis adopted her puppy, the puppy weighted 12 pounds. One year later, the puppy weighted 60 pounds. By what percent did the puppy's weight change in one year?
Answer:
400%
Step-by-step explanation:
Original wieght = 12
New weight = 60
Change = 60- 12= 48
Change percent = change / original x 100 = 48 / 12 x 100 = 400 %
I hope its right!!!! :)
The current in a simple electrical circuit is inversely proportional to the resistance. If the
current is 80 amps when the resistance is 50 ohms, find the current when the resistance is
22 ohms.
Answer:
52
Step-by-step explanation:
if 80 anps has 50 resistance then
52 has 22
80-30=50
52-30=22
Please help me only if you know :)
Answer:
I think the answer is D.
Step-by-step explanation:
Have a good day.
Let g(x) be the reflection across the x-axis of the function f(x) = 7x + 3. Identify the rule for g(x).
Answer:
(x,y) => (x, -y)
Step-by-step explanation:
[tex]y = 7x + 3[/tex]
[tex] - y = 7x + 3[/tex]
[tex]y = - 7x - 3[/tex]
so
[tex]g(x) = - 7x - 3[/tex]
Hence, [tex]g(x) = - 7x - 3[/tex].
What is the function?
Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.
Here given that,
Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].
So,
[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]
Hence, [tex]g(x) = - 7x - 3[/tex].
To know more about the function
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n the triangle below, what is the value
of x?
Answer:
90
Step-by-step explanation:
can u help me
What is the volume of a square-based pyramid with a base length of 5 ft and a height of 24 ft?
Enter your answer in the box.
answer asap
ft³
In math the "Base" is defined as
A car travels for 4 hours at an average speed of 45 mph and then 6 hours at an average speed of 35 mph.
(a) Work out the total distance travelled.
(b) Work out the average speed for the entire journey.
Answer: (a) 390 miles im not sure for b
Step-by-step explanation:
Suppose lifetime of certain type of car batteries are
normally distributed. Brand G has a mean lifetime of three years and
a standard deviation of one year. Brand M has a mean lifetime of 36
months and a standard deviation of four months.
(a) Which brand is more reliable and why?
(b) Pick one battery from each brand randomly, which one has a
better chance to last for four years and why?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
The brand (M) will become more reliable as the standard deviation of an (M) brand will be much lower than the standard deviation of (G) brand.
such as four years,
Calculating the z score for G brand[tex]= \frac{(4-3)}{1} = \frac{1}{1} = 1[/tex]
Calculating the z score for M brand[tex]= \frac{(4-3)}{(\frac{1}{3})} = \frac{(1)}{(\frac{1}{3})} = 1 \times \frac{3}{1}= 3.[/tex]
Because the z mark of the (G) brand is less, it is much more probable that the (G) Brand could last four years. It is because the variability of the (G) brand is very high, which allows lasting longer by expanding its expansion.
How do I Determine whether Rollie's theorem can be applied to F on the closed interval (AB) F of X = -x squared
Answer:
See Explanation
Step-by-step explanation:
Your question is incomplete. I will take the complete question as:
[tex]f(x) = -x^2[/tex]
[tex]Interval: [-1,1][/tex]
Required
Determine whether Rollie's theorem can be applied or not
First, find the coordinates of the endpoints on the closed interval [-1, 1]
[tex]f(x) = -x^2[/tex]
[tex]f(-1) = -(-1)^2 = -1[/tex] ------ [tex](-1,-1)[/tex]
[tex]f(1) = -(1)^2 =-1[/tex] ---- [tex](1,-1)[/tex]
Find the derivative of f(x)
[tex]f(x) = -x^2[/tex]
[tex]f'(x) = -2x[/tex]
Calculate the slope (m) of the secant line i.e. [tex](-1,-1)[/tex] and [tex](1,-1)[/tex]
[tex]m = \frac{-1 - (-1)}{1 - (-1)}[/tex]
[tex]m = \frac{-1 +1}{1 +1}[/tex]
[tex]m = \frac{0}{2}[/tex]
[tex]m=0[/tex]
Set the derivative to the calculated slope:
[tex]f'(x) = m[/tex]
[tex]-2x = 0[/tex]
[tex]x=0[/tex]
Plug in 0 for x in f'(0)
[tex]f'(x) = -2x[/tex]
[tex]f'(0) = -2 * 0[/tex]
[tex]f'(0) = 0[/tex]
Since f'(0) is differentiable at x = 0. We can conclude that Rollie's theorem can be applied
Can someone plz help
four times two less than a number is the same as thrice one more than the number. find the number
Answer:
11
Step-by-step explanation:
4 times 2 less than the number is equal to 4 * (x-2).
3 * one more than the number is equal to 3 * (x+1).
you get 4 * (x-2) = 3 * (x+1).
distribute the multiplication on each side of the equation to get:
4x - 8 = 3x + 3
subtract 3x from both sides of the equation and add 8 to both sides of the equation to get: 4x - 3x = 3 + 8
combine like terms to get x = 11.
that's your solution.
4 * (x-2) is equal to 4 * (11 - 2) which is equal to 4 * 9 which is equal to 36.
3 * (x+1) is equal to 3 * (11 + 10 which is equal to 3 * 12 which is equal to 36.
your solution is that the number is equal to 11!
help?????????????????????????
Step-by-step explanation:
pythagoras theorem dictates that for right triangles, a squared plus b squaredequals c squared.
7*7+x*x=14*14
49+x*x=196
x*x=147
square root of 147, I believe