Answer:
sqrt of (m-7) = n+3
m = (n+3)^2 + 7 or m= n^2 + 6n + 16
sqrt of (m)-7 = n+3
m = (n+10)^2 or m =n^2 + 20n + 100
Step-by-step explanation:
(2) move the constants to the other side, and square
or (1) square and move constants
then you can solve for m
Answer:
[tex]n^2+6n+16[/tex]
Step-by-step explanation:
I'm going to assume you meant [tex]\sqrt{m-7} = n+3[/tex], not [tex]\sqrt{m} - 7 = n+3[/tex].
[tex](\sqrt{m-7}) ^2 = (n+3)^2\\\\(\sqrt{m-7}^2) = (n+3)^2\\\\(m-7)^{\frac{2}{2} } = (n+3)^2\\\\m - 7 = (n+3)^2\\\\m - 7 = n^2 + 2n\cdot3 + 3^2\\\\m - 7 = n^2 + 6n + 9\\\\m - 7 + 7 = n^2 + 6n + 9 + 7\\\\m = n^2 + 6n + 16[/tex]
Hope this helped!
Annabelle works in a department store selling clothing. She makes a guaranteed
salary of $500 per week, but is paid a commision on top of her base salary equal to
30% of her total sales for the week. How much would Annabelle make in a week in
which she made $2400 in sales? How much would Annabelle make in a week if she
made x dollars in sales?
Earnings when selling $2400:
Earnings when selling $x:
Answer:
No 1 would be 500 + 2400*30/100 = 500 + 720 = 1220
No 2 would be 500 + x*30/100
Step-by-step explanation:
Answer:
$1200 and 500+ .3x
Step-by-step explanation:
Use this equation: 500+ .3x and insert in 1200.
Made equation by taking garented amount, $500, and have that be added. Sense you get 30 percent of of x (the amount of sales), have x be multiplied by .3 to get 30 percent.
Sue's ice cream has 6 more scoopsthan Tessa's ice cream cone.
Sue's ice cream cone has 9 scoops.
How many scoops are on Tessa's ice cream cone?
Answer:
Tessa has 3 ice-cream scoops
Step-by-step explanation:
what fraction is equal to 75% of 1/3 ? PLZ TELL MEH PPL IM DUMB IKKKKK
Answer:
0.25 or 1/4
Step-by-step explanation:
1/3 * 75/100 = 75/300 = 1/4 = 0.25
[tex]75\%\cdot\dfrac{1}{3}=\dfrac{3}{4}\cdot\dfrac{1}{3}=\dfrac{1}{4}[/tex]
Half of what?= 32 1/2
Half of the number 65 is [tex]32\frac{1}{2}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given fraction is [tex]32\frac{1}{2}[/tex].
Let x be unknown number.
Then, the equation is
1/2 of x=[tex]32\frac{1}{2}[/tex]
x/2 =32.5
x=65
Therefore, half of the number 65 is [tex]32\frac{1}{2}[/tex].
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help can somewon help me
Answer:
504 in³
Step-by-step explanation:
The volume of the overall outside dimensions is their product:
Voverall = (12 in)(8 in)(6 in) = 576 in³
The volume of the "slot" is the product of its dimensions:
Vslot = (6 in)(6 in)(2 in) = 72 in³
Then the volume of the figure shown is ...
Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³
Answer:
504 inches cubed
Step-by-step explanation:
The area missing is 6*6*2=72
The whole area is 576
subtract the two and get 504
since we are talk about volume it is 50 inches cubed
5x1+1x(1/10)+3x(1/100)+6x(1/1000) in standard form
Answer:
642/125
Step-by-step explanation:
and the other person got it
What is 0.75 as a fraction?
Answer:
3/4
Step-by-step explanation:
We would like to find what 0.75 is as a fraction.
Remember that since there are two digits past the decimal point, the denominator will 100.
So, the numerator is 75 and the denominator is 100. We now have:
75/100
We would like to simplify this. Notice that the top and bottom (75 and 100) are both divisible by 25. So divide both by 25:
75 / 25 = 3
100 / 25 = 4
The answer is thus 3/4.
~ an aesthetics lover
Determine whether each equation is an identity or whether it has no solution.-3(2x+1)=2(-3x-1) help is this a no solution or infinite
Answer:
No solution.
Step-by-step explanation:
Distribute.
-3(2x + 1) = 2(-3x - 1)
-6x - 3 = -6x - 2
Combine like terms.
-6x - 3 = -6x - 2 add 3 to both sides
-6x = -6x + 1 add 6x to both sides
0 = 1 this is false.
Because we ended up with a false equation, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
Perform the indicated multiplication, using the distributive property.
-3(2x+1)=2(-3x-1) becomes -6x - 3 = -6x - 2
This has no solution because -3 is never equal to -2.
Savannah is currently one more than twice the age of her cat, Selena Gomez. In thirteen years, Savannah will be 1.5 times as old as Selena. What is Savannah's current age?
Answer:
23 years old
Step-by-step explanation:
Savannah's age = x
Selena's age = y
Right now, x = 2y + 1
In 13 years, x = 1.5y
Here, we must use simultaneous equations to work it out.
x = 2y + 1
x + 13 = 1.5 x (y + 13) --> x + 13 = 1.5y + 1.5 x 13 --> x + 13 = 1.5y + 19.5
x + 13 = 1.5y + 19.5
- 13
x = 1.5y + 6.5
x = 1.5y + 6.5 = 2y + 1
1.5y + 6.5 = 2y + 1
- 1
1.5y + 5.5 = 2y
- 1.5y
5.5 = 0.5y
x 2
11 = y
We know that y = 11
Savannah is currently twice her cat's age plus 1, so...
11 x 2 + 1 = 22 + 1 = 23 years old
Hope this helps!
P.S. If the cat lives 13 more years after this, it will be a very old cat lol :)
In the triangles, TR = GE and SR = FE.
Triangles S T R and F G E are shown. Angle S R T is 56 degrees. Angle F E G is 42 degrees. Sides T R and G E are congruent. Sides S R and F E are congruent.
if Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?
Answer:
3.2 ft
Step-by-step explanation:
the only thing you need to know is that congruent means that all the side and the same and the shape can be flipped and still look the same so the measure of the line segment is 3.2ft
Answer:
3.2 ft
Step-by-step explanation:
The answer above is correct.
help me find VW and YZ
Answer:
VW=35
YZ=50
Step-by-step explanation:
As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:
2(4y+7)=12y-14
8y+14=12y-14
4y=28
y=7
So, VW=4(7)+7=35.
Similarly, you can find YZ through VT:
2(7x-17)=8x+2
14x-34=8x+2
6x=36
x=6
Therefore, YZ=8(6)+2=50.
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
Answer:
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
Step-by-step explanation:
Required
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Required
Determine the number line
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Open the bracket
[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]
[tex]2x - 6 \geq 6x - 12 + 8[/tex]
[tex]2x - 6 \geq 6x - 4[/tex]
Collect Like Terms
[tex]2x - 6x \geq 6 - 4[/tex]
[tex]- 4x \geq 2[/tex]
Divide both sides by -4
[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]
[tex]x \leq -0.5[/tex]
From the list of given options, the correct answer is option C
Answer:
b
Step-by-step explanation:
What will I get for this 16 + x = 12
Answer:
x = -4
Step-by-step explanation:
16 + x = 12
16 - 16 + x = 12 - 16
x = -4
A tailor cuts off a 2-meter long section from a 20-meter long piece of cloth every day. After how many days will he cut off the last section?
Answer: 10 days
Step-by-step explanation:
20/2 = 10
Answer18
Step-by-step explanation:
I am confused on this: "Find the area of a square with a perimeter of 20 inches"
Answer:
25 square inches
Step-by-step explanation:
A square has 4 congruent sides.
By knowing the perimeter of a square, you can find the length of a side.
perimeter = 4 * side
20 in. = 4s
s = 20 in./4
s = 5 in.
A side of this square measures 5 in.
Now we use the area formula to find the area of the square.
area = (side)^2
area = (5 in.)^2
area = 25 in.^2
Answer:
The area will be 25 inches.
Step-by-step explanation:
Hi! So, this might be a pretty easy question for some people, but I can see how it might be confusing.
If you want to find the area of a square, which has four equal sides, it's pretty easy. You just need to know the length of one side instead of two different lengths, because both are equal!
The question gives you the perimeter, which is 20 inches. To get the perimeter of something, like this square, you add up all the sides. All you have to do to find the length of one side is divide the total sum of the sides, 20 (perimeter!) by the number of sides you have, four!
Note: This won't work with things like rectangles. You can only do things like this with squares, because you know ahead of time that all of the sides will be equal.
So! 20 divided by the number of sides, 4, is five!
Know we know all we need to be able to find the area of the square. To find the area, all you have to do is multiply the length of the square (5) by the width of the square (also 5!) That's 25, which is the area of your mystery square.
Hope you understand and this helps!
5.
A leaky faucet is losing water and is filling a 7-gallon bucket every 21 hours. At that rate, how many
gallons of water will the faucet leak in 30 hours?
(2-Point Holistic Rubric)
Show your work.
Answer:
10 gallons.
Step-by-step explanation:
A leaky faucet is losing water and;
filling a 7-gallon bucket every 21 hrs.
So 7 gallons of water are leaked in 21 hrs
We are to find the number of gallons that will be leaked in 30 hrs.
Cross-multiplying this gives;
[tex]\frac{30 * 7}{21}[/tex] = 10 gallons.
help me with these thanks
what is the domain of the function shown in the graph below?
answer type: interval, all real numbers, all values except one, all values except two
interval:
Answer:
All numbers except 1
Step-by-step explanation:
The graph has an asymptote at 1.
So the function will grow toward but without reaching it.
The equation of the asymptote is x=1
So the domain is all real numbers except 1.
A fortnight is 1/26 of a year. What part of a year is 8 fortnights?
Answer:
Isn’t it just 8/26
Step-by-step explanation:
Since 1 is 1/26 so 8 is just 8/26?
The part of a year is 8 fortnights is ( 8 / 26 ).
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics.
It is given that a fortnight is 1/26 of a year. The part of the year for 8 fortnights is calculated as:-
⇒ 8 x ( 1 / 26 )
⇒( 8 / 26 )
Therefore, the part of a year is 8 fortnights is ( 8 / 26 ).
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Round 18.049 to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
Note the tenth place value (underlined and bolded): 18.049
Look at the number to the direct right of the tenth place value (or the hundredth place value in this case). It is a 4.
Note the rules of rounding. If the number:
1) is 5 or greater, round up.
2) is 4 or less, round down.
In this case, it is 4, so you will round down.
18.049 rounded to the nearest tenth is 18.0
~
Answer:
18.0
Step-by-step explanation:
first time i put 18 and it was wrong so
Machine A can fill 1 box of nails in 6 minutes. Machine B can fill 1 box of nails in 9 minutes. They started to work at the same time and they stopped also at the same time. In all they filled 100 boxes. How many were filled by machine A?
A-
1 box --- 6 minutes
y boxes --- 1 minute
y = 1/6
B-
1 box --- 9 minutes
t boxes --- 1 minute
t = 1/9
So...
r - used time
r(1/9 + 1/6)=100
r=(100.18)/5
r= 360 minutes
1/6 . 360 = 60 boxes
answer: 60 boxes
In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.
Let's use the concept of the rate of work to solve this problem. The rate of work is the amount of work done per unit of time.
Machine A's rate of work is 1 box of nails every 6 minutes.
Machine B's rate of work is 1 box of nails every 9 minutes.
Let's assume that machine A filled x boxes, and machine B filled y boxes. Since they worked for the same amount of time, the total number of boxes filled by both machines is 100.
So, the equation representing the total work is:
x (boxes filled by A) + y (boxes filled by B) = 100
Now, let's use their rates of work to form two more equations:
Rate of work of A = 1 box every 6 minutes
Rate of work of B = 1 box every 9 minutes
Since work = rate × time, we can write two equations:
x (boxes filled by A) = (1/6) * t (time in minutes)
y (boxes filled by B) = (1/9) * t (time in minutes)
Since they both worked for the same time, we can set the time for both machines as equal:
t = t
Now, we have a system of equations:
x + y = 100
x/6 = y/9
t = t
Let's solve the system of equations. We can start by substituting the value of y from the second equation into the first equation:
x + (x/6)*3 = 100
x + (x/2) = 100
Multiply both sides by 2 to eliminate the fraction:
2x + x = 200
3x = 200
x = 200/3
Now, let's find the value of y using the second equation:
y = (x/6)*3
y = (200/3)/6 * 3
y = 200/3
So, machine A filled 200/3 boxes of nails, which is approximately 66.67 boxes.
Machine B filled 200/3 boxes of nails, which is also approximately 66.67 boxes.
Since they cannot fill a fraction of a box, we can distribute the remaining 2/3 box between machine A and machine B, giving one extra box to each.
In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.
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w is greater than -1 and less than or equal to 4
Use a only once in your inequality.
Answer:
-1 + w ≤ 4
Step-by-step explanation:
w is greater than -1 = -1 + w
Less than or equal to 4 = (anything less than or equal to 4)≤4
Answer:
[tex]-1<w\leq 4[/tex]
This shows that w is greater than -1 and less than or equal to 4
, through an inequality.
This is the greater than symbol: <
This is the less than or equal to symbol: [tex]\leq[/tex]
Hope that helped!!!
Four representations of the same data are shown below. Verbal Description Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x. Equation y = x + 4 Table A 2-column table with 3 rows. Column 1 is labeled x with entries 30 dollars, 40 dollars, 50 dollars. Column 2 is labeled y with entries 34 dollars, 44 dollars, 54 dollars. Graph Cell Phone Bill A graph with data/minutes charges on the x-axis and total bill on the y-axis. A line goes through points (0, 4) and (3, 7). Which two representations are considered to be only partial representations? the equation and the verbal description the verbal description and the graph the table and the equation the graph and the table
The table is a partial representation as we only see three data points. This is a limited view. Because of this, the answer is between C and D. However, we can rule out choice C as the equation will give us the complete view of what's going on. We can plug in any x value we want to find the corresponding y value (keep in mind that x and y can't be negative though). So that means the graph is a partial representation. This is true if the line segment doesn't extend forever upward. If we had a line segment through the endpoints (0,4) and (3,7), and it stopped at (3,7), then this is a limited view. It does not show what the bill would be if x were say x = 5.
Solve the equation using the multiplication property of equality and the reciprocal of 1 4 . 1 4 ( r − 5 2 ) = 1 8
Answer: I dont know if this is right but the is 8 Ive never done this before.
Step-by-step explanation:
1 =
4 =
1 =
4 =
r− 5 ⋅ 2 = 1 = r = 11
8 = r = 11
Julie started to solve the exponential expression (-2).
(-2)3 = -2 -2 -2 - ?
Which of these explains why Julie gets a negative number for her final answer?
The base -2 is a negative number.
The exponent 3 is an odd number.
The exponent 3 is a positive number.
The base - 2 is an even number.
Answer:
just did this on a test and it was
The exponent 3 is an odd number.
Step-by-step explanation:
Hince the statements which justify it:
The base -2 is a negative number.
The exponent 3 is an odd number.
Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2
Because the base, -2, is a negative number.
When an odd number of negative numbers are multiplied together, the result is always negative.
In this case, there are three negative numbers (-2 x -2 x -2),
Which is an odd number, resulting in a negative answer.
However, since the base is negative, the result will always be negative for any odd exponent.
Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.
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How many of the positive integer factors of 15552 are perfect squares?
Please show work, will mark brainliest if correct
Answer: 9 integers factors
Step-by-step explanation:
Let's first find the factor of 15552
15552 / 2 = 7776
7776 / 2 = 3888
3888 / 2 = 1944
1944 / 2 = 972
972 / 2 = 486
486 / 2 = 243
273 / 3 = 81
81 / 3 = 27
27 / 3 = 9
9 / 3 = 3
3 / 3 = 1
Some of the factors of 15552 are:
2×2×2×2×2×2×3×3×3×3×3
4×4×4×9×9×3
4^2 × 9^2 × 4 × 3
The factor that are perfect square are:
4, 9, 16, 36, 64, 81, 144, 576, 1296
Therefore, 9 of the positive integer factors of 15552 are perfect squares.
-5+2(10b-2)=31 need help thanks!
Answer:
[tex]\Large \boxed{b=2}[/tex]
Step-by-step explanation:
-5+2(10b-2)=31
Expand brackets.
-5+20b-4=31
-9+20b=31
Add 9 on both sides.
20b=40
Divide both sides by 20
b=2
Answer:
b = 2Step-by-step explanation:
-5+2(10b-2)=31
Multiply the terms in the bracket
That's
- 5 + 20b - 4 = 31
Group like terms
Send the constants to the right side of the equation
That's
20b = 31 + 4 + 5
Simplify
20b = 40
Divide both sides by 20
We have the final answer as
b = 2Hope this helps you
Name four fractions between 5/6 and 7/8
Answer:
101/120, 102/120, 103/120, and 104/120.
Step-by-step explanation:
First find the LCM of 6 and 8:24
So the two given fractions are 20/24, and 21/24
Since the the fractions will become decimals with the denominator 24, choose another denominator: 48
So the two given fractions are 40/48 and 42/48.
Even this denominator isn't possible so continue with different denominators.
As I notice, that each multiple increases by 1...
20-21, 40-42, 60-63, 80-84, and 100-105.
100-105 is the only numerator that has 4 numbers in-between so, the four fractions between 5/6 and 7/8 are: 101/120, 102/120, 103/120, and 104/120.
And the 2 given fractions are 100/120 and 105/120.
I hope this helps and plz mark me brainliest!!
The fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.
What is a fraction?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator, and denominator.
For the given situation,
The fractions are 5/6 and 7/8.
The fractions between any two fractions can be obtained by adding them without considering the denominator.
Fraction 1:
[tex]\frac{5+7}{6+8}=\frac{12}{14}[/tex]
⇒ [tex]\frac{6}{7}\\[/tex]
Fraction 2:
[tex]\frac{6+7}{7+8} = \frac{13}{15}[/tex]
Fraction 3:
[tex]\frac{5+6}{6+7} = \frac{11}{13}[/tex]
Fraction 4:
[tex]\frac{6+11}{7+13}=\frac{17}{20}[/tex]
Hence we can conclude that the fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.
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Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the correct solution. 8 + 2(3p + 1) = 10(3 p +1) = 30p +10
Answer:
The correct answer is 10+6p
Step-by-step explanation:
The mistake is that for the first step instead of distributing 2 to 3p and 1 they added 8+2 first. your actually supposed to distribute and get, 8+6p+2, then combine like terms and get 10+6p
Answer:
Mistake: He added 8 to the 2 that you needed to multiply to the 3p and 1 inside the parentheses.
Correct solution: 10 + 6p
Step-by-step explanation:
8 + 2(3p + 1) =
8 + 6p + 2 =
10 + 6p
Hope that helps and maybe earns a brainliest!
Have a fantastic day! :)
If the probability that a person will die in the next year is 771/100,000
what is the probability that the person will not die in the next year?
A. 0.771%
B. 99.229%
C. 0.229%
D. 99.771%
Answer:
(B) 99.229%
Step-by-step explanation:
If the probability of someone dying next year is [tex]\frac{771}{100000}[/tex], that means the probability of someone NOT dying next year is [tex]\frac{100000-771}{100000} = \frac{99229}{100000}[/tex].
To find the percent value of this fraction, we divide 99229 by 100000 and multiply by 100.
[tex]\frac{99229}{100000} = 0.99229\cdot100=99.229[/tex]
So, the answer is B, 99.229%.
Hope this helped!
