Answer:
38
Step-by-step explanation:
We can express the 8th term as x and the 12th term as y.
This would mean that 8x=12y
Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y
Now we can use this to substitute y with x in the first equation. This would give us:
8x=12(x-8)
Which we can expand and solve:
8x=12x-96
-4x=-96
Therefore x=24
This means the 8th term is 24 and the 12th term is 16 (24-8).
To test if this is correct we can do:
8x24=12x16
Which indeed are equal, both sides multiply to 192.
Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)
24+14=38.
The first term is 38.
Hope this helped!
Evaluate
x(-6) (-4)
When x= -2
Answer:
=24x
Step-by-step explanation:
X×(-6)×(-4)=24
two negatives cancel out and turn the 24 to a positive number
6×4=24
Solve for x:
- 11x + 32.5 < 82
Answer:
x>-4.5
Step-by-step explanation:
- 11x + 32.5 < 82
Subtract 32.5 from each side
- 11x + 32.5-32.5 < 82-32.5
- 11x < 49.5
Divide each side by -11. remembering to flip the inequality since we are dividing by a negative
-11x/-11 > 49.5/-11
x>-4.5
1. Max has more than 5 carrots (number of carrots Max has = c).
Answer:
c>5
Step-by-step explanation:
Max has more than 5 carrots. Therefore, the number of carrots he has (c) is greater than 5.
Write this statement in interval notation. * x is positive and < 17
Answer:
x is in (0, 17)
Step-by-step explanation:
The compound inequality is ...
0 < x < 17
The "equal to" case is not included on either end, so round brackets are used:
(0, 17)
17. The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches.
Find the dimensions of the rectangle.
Answer:
[tex] \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}[/tex]
[tex] \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}[/tex]
Step-by-step explanation:
Let the width of a rectangle be 'w'
Length of a rectangle = w + 3
Perimeter of a rectangle = 28 inches
To find : dimensions of the rectangle ( length and width )
Finding the width of a rectangle ( w )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 2(2w + 3)}}[/tex]
[tex] \dashrightarrow{ \sf{28 = 4w + 6}}[/tex]
[tex] \dashrightarrow{ \sf{4w + 6 = 28}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 28 - 6}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 22}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{w = 5.5 \: inches}}[/tex]
Width of a rectangle = 5.5 inches
Now, replacing / substituting the value of w in order to find the length of a rectangle
[tex] \sf{ length = 3 + w}[/tex]
[tex] \dashrightarrow{ \sf{length = 3 + 5.5}}[/tex]
[tex] \dashrightarrow{ \sf{length = 8.5 \: \: inches}}[/tex]
Length of a rectangle = 8.5 inches
Hope I helped!
Best regards! :D
12. Lin has $212 in her savings account. Her goal is to have $800 in the account in 21 weeks. How much does
Lin needs to save each week?
Answer: Lin must save at least $28 a week
Step-by-step explanation:
I got my answer by subtracting the already earned $212 from the neccessary $800 and that got me $588. Then divided the $588 by the 21 weeks from her goal to get my answer of at leaast $28 a week.
Solve 3x + k= c for x.
O A. x=-*
B. x=3(0 - k)
C.
C + K
3
D. x = 31c+ k)
Answer:
x = c/3 - k/3
Step-by-step explanation:
Solve for x:
k + 3 x = c
Subtract k from both sides:
3 x = c - k
Divide both sides by 3:
Answer: x = c/3 - k/3
Brand X copier advertises that its copiers run 24% longer between service calls than its competitor. If Brand X copiers run 59,800 copies between services, how many copies would the competitor run?
Answer:
The competitor will run 48,225.81 copies.
Step-by-step explanation:
Brand x copier run 59,800 copies between services
Brand X copiers run 24% longer between service calls than its competitor.
Let x = copies run by the competitor between services
Number of copies the competitor will run is
24% of x + x = 59,800
0.24x + x = 59,800
1.24x = 59,800
x= 59,800 / 1.24
x = 48,225.81
Therefore, the competitor will run 48,225.81 copies.
the the degree of 3x*5y*2
Answer:
The degree of the given expression is 2
Step-by-step explanation:
the degree of equation is 2
hope it is helpful to you
HELP!! Which of the following expressions represents the distance between -3.9−3.9minus, 3, point, 9 and -4.7−4.7minus, 4, point, 7?
Answer:
| -2 1/5 - 4.35|
Step-by-step explanation:
Take the absolute value of the difference of the two number
| -2 1/5 - 4.35|
What is the area of the square of the leg 6
Answer:
A=a2/ a squared
24 cm
32 cm
What is the length of the hypotenuse of the triangle?
Answer:
c= 40
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + 32^2 = c^2
576+ 1024 = 1600
you have to square your number once you get the sum.
1600 squared is 40
c=40
I hope this helped
4(9 ÷3)2 I need this answered now:(
Answer:
24
Step-by-step explanation:
4x(9/3)x2
9 divide by 3 is equals to 3, so 4x3=12 and 12x2= 24
Hellppppppp meeeee I gotta pass this testtttt ty ❤️
Answer:
The second one
Step-by-step explanation:
Solve the equation below for y. 3x+4y=12
Answer:
y=-3/4x+3
Step-by-step explanation:
3x+4y=12
Subtract 3x from both sides:4y=-3x+12
Divide 4 on both sides... y=-3/4x+3
and we got our answer.
Carmen says that she has 4/10 of a dollar.Troy says that he has 50/100 of a dollar.Together,what fraction of a dollar do they have
Answer:
9/10 of a dollar
Step-by-step explanation:
50/100=5/10,
so 5/10+4/10=9/10
Together they will have 9/10 part a dollar.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here, Carmen has 4/10 of a dollar and Try says he has 50/100 part of a dollar, now to calculate the fraction of dollar together they will be having will be the sum of Carmen and Troy part of dollar :
[tex]\begin{aligned}\frac{4}{10}+\frac{50}{100}&=\frac{4}{10}+\frac{5}{10}\\&=\frac{9}{10}\end{aligned}[/tex]
Therefore, together they will have 9/10 part a dollar.
Read more about ratio at:
https://brainly.in/question/1239848
#SPJ2
V(18, -17) and W(3,9)
Find the mid points
Answer:
[tex]=\left(\frac{21}{2},\:-4\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(18,\:-17\right),\:\left(x_2,\:y_2\right)=\left(3,\:9\right)\\\\=\left(\frac{3+18}{2},\:\frac{9-17}{2}\right)\\\\Refine\\=\left(\frac{21}{2},\:-4\right)[/tex]
Which of these is not a denomination of modern U.S. currency?
A. $500
O B. $100
O c. $2
O D. $50
What are the coordinates of (2. -7) after the translation
(x,y) → ( x-2, y + 3)
If it is a non-repeating, non-terminating decimal? What’s the answer PLEASE HELP :(
Answer:
i think its repeating decimal pro
Step-by-step explanation:
Miranda wants to join Kick Start Gym and they have two plans she can choose from. Plan A will cost $12 per month plus a $130 joining fee. Plan B does not have a joining fee, but will cost $25 per month. Write and solve an equation to find the number of months for which the cost of each plan is equal.
Answer: 10
Step-by-step explanation:
Cost of any plan = Joining fee + (Per month fee ) × (number of months )
Let x be the number of months for which the cost of each plan is equal.
Cost of plan A = 130 + 12 x
Cost of plan B = 0+ 25x = 25x
According to the question,
[tex]25x = 130+12x\\\\\Rightarrow 25x-12x=130\\\\\Rightarrow\ 13x=130\\\\\Rightarrow\ x=\dfrac{130}{13}\\\\\Rightarrow\ x=10[/tex]
Hence, the number of months for which the cost of each plan is equal is 10.
3. Which of the following does not have a
value that is greater than 0?
a. (-14)
b.
y
C. 0.052
d. -42
Answer:
C. 0.052
Step-by-step explanation:
A and D are negative.
That means that they come before 0 and are therefore smaller than 0.
We do not know the value of B.
C is a positive number, meaning it comes after 0 and is therefore greater than 0.
The sum of two numbers is 77. The greater number is 5 more than the smaller number. Which equation
can be used to solve for the smaller number? (5 points)
1) x(x-5)=77
2) x(x+5)=77
3) x+(x+5)=77
4)x-(x+5)=77
Answer:
3)
Step-by-step explanation:
X is the smaller number and when we add 5 to the smaller number we get the greater number therefore summing up both the smaller and greater number gives a total of 77 as the question gives guidelines
2x² + x + 10 = 0 dengan rumus abc
Answer:
a = 2, b = 1 and c = 10
Step-by-step explanation:
The given equation is 2x² + x + 10 = 0 ...(1)
The general form of a quadratic equation is given by :
ax²+bx+c=0 ...(2)
We need to find the values of a,b and c in the given equation.
Comparing equation (1) and (2),
a = 2, b = 1 and c = 10
describe the relaationship between two place value positions
Answer:
Any place-value position is 10 times greater than the position to its right and / of the position to its left.
the perimeter of a rectangle is 28 meters and the length of the base is 8 meters. find the height of the rectangle.
Answer:
6 meters
Step-by-step explanation:
We know that the perimeter of a rectangle is the sum of the length and height doubled, therefore, we can write the following equation:
28 = 2 * (8 + h) where h = height
14 = 8 + h
h = 6 meters
Solve for f(-7).
f(x) = 5 - X
f(-7) = [?]
Enter
Answer:
[tex]f(-7)=12[/tex]
Step-by-step explanation:
[tex]f(x)=5-x\\\\\text{Substitute 'x' for '-7' and solve.}\\\\f(-7)=5-(-7)\\\\f(-7)=5+7\\\\\boxed{f(-7)=12}[/tex]
Hope this helps.
The middle value of the data set is
Answer:
The middle value of the data set is called/labled the median
Step-by-step explanation:
if there is a odd (1,3,5...)number of number in the data set circle the middle two and add them and divide by two and that will be your median
hope it helps:)
Also, just look at the number in the middle of the data set to figure out the median
how do you convert a percent to a fraction?
Answer:
Step 1: Write down the percent divided by 100 like this: [tex]\frac{percent}{100}[/tex]
Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)
Step 3: Simplify (or reduce) the fraction
Step-by-step explanation:
Example:
Step 1: Write down:
[tex]\frac{11}{100}[/tex]
Step 2: The percent is a whole number, go straight to step 3.
Step 3: The fraction cannot be simplified further.
Answer:
To convert the percent into a fraction, divide it by 100 and remove the % symbol. Then, multiply the fraction to its lowest term.
For example:
[tex] \sf{12 \: \% \: = \frac{12}{100} = \frac{3}{25} } \: [/tex]
[tex] \sf{65\% \: = \frac{65}{100} = \frac{13}{20} }[/tex]
[tex] \underline{ \sf{some \: facts \: about \: percentage}}[/tex]
[tex] \star[/tex] Percentage are fractions whose denominators are 100
[tex] \star[/tex] A fraction can be expressed as a percentage by converting it into an equivalent fraction with 100 as a denominator.
[tex] \star [/tex] We can convert a fraction to a percent by multiplying it by 100 and the % symbol.
[tex] \star[/tex] A fraction with denominator 100 can be written as a percentage by writing the numerator with the % symbol.
[tex] \star[/tex] To convert a percentage to a decimal , divide it with 100 i.e move the decimal the places to the left.
[tex] \star[/tex] To convert a percentage to a fraction , divide it by 100 and reduce it to the lowest term.
Hope I helped!
Best regards! :D
Mark Scott bought a digital camera through the store installment plan. The camera sells for $499.99. Determine the amount he financed if he made a 20 percent down payment.
Answer: A.
The article published in the journal is more credible because it is a newer issue.
Mark is writing a paper about digital cameras. He thinks that in the future most people will use only the cameras in their phones.He asks his friend’s older brother, Sam. Sam knows a lot about digital cameras. Sam gives him plenty of information about cameras. Sam agrees with Mark when he says that in the future most photos will be taken with camera phones. He also gives Mark a book containing advertisements of cameras from the years 2000 to 2010.
Later, Mark visits the local library. He looks up the latest issues of magazines on cameras and photography. Mark goes through many magazines. Finally, he finds an article in a photography journal that is well-known, and was published by a famous camera company. The article was written in 2015 by a popular photographer.
Which of these sources would give the best information?
A.
The article published in the journal is more credible because it is a newer issue.
B.
The information supplied by Sam is credible because he knows a lot about cameras.
C.
The magazines are more credible because they are the latest issues.
D.
The book with advertisements is more credible because it has more information.
Step-by-step explanation: