Hello there!
To find the value of n, work to isolate it from all other terms in the equation.
8n+7=31 - Start by subtracting 7 from both sides. 8n + 7 - 7 = 31 - 7
8n = 24 Next, divide both sides by 8 to finish isolating n. 8n÷8 = 24÷8
n = 3
This is your final answer.
I hope this was helpful and have a great rest of your day!
:)
For this case we must solve the following equation of first degree:
[tex]8n + 7 = 31[/tex]
We subtract "7" on both sides of the equation:
[tex]8n + 7-7 = 31-7\\8n = 24[/tex]
We divide between "8" on both sides of the equation:
[tex]\frac {8n} {8} = \frac {24} {8}\\n = 3[/tex]
Thus, the value of the variable n is 3.
Answer:
[tex]n = 3[/tex]
Choose the correct correspondence
D <->
Options
1.R
2.K
3.O
Answer:
K
Step-by-step explanation:
Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.
Angle D is congruent and corresponds to Angle K for these congruent triangles.
Answer:
k
Step-by-step explanation:
d is in the same place as k just its flipped if ya flip it it will be in the exact places just other sides
Amy handed out 79 donuts on National Donut Day. She still had 147 left to give out. Write and solve an equation to find out how much she started with.
[tex]x - 79 = 147[/tex]
147+79=226 Amy started with 226 donuts.
Final answer:
Amy started with 226 donuts. The equation x - 79 = 147 was solved by adding 79 to both sides to find x, representing the total amount of donuts she had originally.
Explanation:
The question involves solving a basic algebra problem to find the total number of donuts Amy started with. If Amy handed out 79 donuts and still has 147 left, we can set up the following equation where x represents the total number of donuts she originally had:
x - 79 = 147
To solve for x, we add 79 to both sides of the equation:
x - 79 + 79 = 147 + 79
x = 226
Therefore, Amy started with 226 donuts.
Which graph represents the solution for the equation 4 3 x + 2 = 5x? A) A B) B C) C D) D
Answer:
A) A
Step-by-step explanation:
The equation of a line is given by
[tex]y=mx+q[/tex]
where
m is the slope of the curve
q is the y-intercept of the curve
The two lines given in the problem are:
[tex]y=\frac{4}{3}x+2[/tex] --> slope of 4/3 and y-intercept of +2
[tex]y=5x[/tex] --> slope of 5 and y-intercept of 0
By exclusion, we see that the correct answer is A. In fact:
- Option B is wrong, because one of the two lines has negative slope, while the two lines given in the problem have both positive slope
- Option C is wrong, because one of the two lines is flat (slope=0), while none of the two lines given in the problem has a slope of zero
- Option D is wrong, because again one of the two lines has negative slope
Option A is the correct one: in fact, we see that the black line has an y-intercept of +2 and a slope of 4/3, while the green line has a slope of 5 and an y-intercept of zero.
Answer:
The answer
D) D
Step-by-step explanation:
I knew this because one, i just did the test and two the previous answer that was given was incorrect
The cone shown has a diameter of 16 m and a slant height of 10 m which choice is the closest to the lateral surface area
Answer: 251 square meters.
Step-by-step explanation:
You need to use the formula for calculate the lateral surface area of a cone:
[tex]LA=3.14rl[/tex]
Being "r" the radius of the cone and "l" the slant height.
Calculate the radius:
[tex]r=\frac{diameter}{2}\\\\r=\frac{16m}{2}\\\\r=8m[/tex]
Now that you know the radius and the slant height of the cone, you need to substitute them into the formula for calculate the lateral surface area of the cone:
[tex]LA=(3.14)(8m)(10m)\\LA=251.2m^2[/tex]
Therefore, the closest choice to the lateral surface area of the cone is: 251 square meters.
Find the area of a square with side of 7 feet. 56 ft.2 49 ft.2 14 ft.2
Answer:
49 sq ft
Step-by-step explanation:
multiply 7 by 7
Answer:
49 ft.
Step-by-step explanation:
All sides of a square are equal so, that means all sides are 7 ft long
You have to multiply 7 x 7 because all sides are 7 ft long
7 x 7 = 49
PLEASE HELP ME !!!!
Money that is earned is called
A. income
B. expenses
C. records
C. budget
Answer:
a
Step-by-step explanation:
Answer:
A. income
Step-by-step explanation:
Find the amount of the sales tax and the total cost. Round money answers to the nearest cent.
Cost of item: $560 tax rate: 8%
Sales tax=
Total cost=
Answer:
$604.80
Step-by-step explanation:
With 8% tax rate, multiply the cost of the item (560) by 8% (0.08)
560*.08 = 44.80 (sales tax)
Add the cost of item (560) and the sales tax (44.80)
560 + 44.80 = 604.80
Can someone help me with this problem? Please.
Answer:
(7x-1)-3(7x-1)
Step-by-step explanation:
First write out the problem
7x^2-22x+3
Next, Factor the expressions
7x^2 - x - 21x + 3
Now factor the whole thing
x(7x-1)-3(7x-1)
Plz help !! Need to graduate
Macy's is having a special on t-shirts. You can buy each at its regular price of $10.99, $11.90 and $10.08 or you can buy 3 t-shirts for $25. Julie bought one of each t-shirt at the sale price of $25. What percentage of the original total price did Julie save?
Answer:
24.2%
Step-by-step explanation:
The total regular price was:
$10.99 + $11.90 + $10.08 = $32.97
She paid:
$25
She saved: $32.97 - $25 = $7.97
Now we need to calculate what percent of $32.97 is $7.97.
To find what percent a number is of another number, divide the first number by the second number and multiply by 100.
percent saved = $7.97/$32.97 * 100 = 24.2%
Part (b)
Harry, Julie's best friend, also paid $25 for 3 t-shirts at a sale at another store. The sale price saved Harry 30% of the original price of the 3 t-shirts. What is the original price of Harry's 3 t-shirts? Who got the better deal?
Harry paid $25 and saved 30% over his original price. Let his original price be x. The original price was 100% of the original price since 100% means the whole amount. Since he saved 30%, that means he paid 70% of the original price.
70% of the original price = $25
70% of x = 25
70%x = 25
0.70x = 25
0.70x/0.70 = 25/0.70
x = 35.71
The t-shirts Harry bought had an original price of $35.71.
Harry got the better deal because he bought t-shirts with an original higher price for the same $25.
The ages of the guest on a museum tour are 32, 14, 18, 29, 65, 50, 48, 44, and 28. Find the five-number summary of the ages. Can you help cause there asking to show step by step
Answer:
1. Minimum Value = 14
2. First Quartile (Q₁) = 28
3. Median = 32
4. Third Quartile (Q₃) = 48
5. Maximum Value = 65
Step-by-step explanation:
The five-number summary includes five things that are:
1. Minimum Value
2. First Quartile (Q₁)
3. Median
4. Third Quartile (Q₃)
5. Maximum Value
So, Firstly arrange given data in ascending order:14, 18, 28, 29, 32, 44, 48, 50, 65
1. Minimum Value = 14
It can be found by arranging the data in ascending order, the first value we will get is the minimum value.
2. First Quartile is the middle value between Minimum value and Median of data after arranging data in ascending order.
First Quartile (Q₁) = 28
3. Median is the middle value of the data after arranging them in ascending order.
Median = 32
4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.
Third Quartile (Q₃) = 48
5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.
Maximum Value = 65.
The coordinates of the vertices of the triangle shown are P(−7, 6), Q(5, −4), and R(−7, 4). Which measurement is closest to the length of PQ in units?
Answer:
The Answer Is D
Step-by-step explanation:
:)
Answer:
D) 15.6 units
Step-by-step explanation:
Apply the Pythagorean theorem,
the square root of 12^2 + (-10^2) = the square root of 244 = 15.6 units
Write the expressions for when you translate the graph of y= x one unit up, one unit down, one unit to the left, one unit to the right
Answer:
Step-by-step explanation:
One unit up: y = x + 1
One unit down: y = x - 1
One unit to the left: y = x + 1
One unit to the right: y = x - 1
Final answer:
To translate the graph of y = x, add or subtract from either x or y in the equation; for example, translating one unit up is expressed as y = x + 1.
Explanation:
To translate the graph of the function y = x in various directions, we apply different transformations to the equation. For each translation, there's a specific algebraic manipulation:
One unit up: y = x + 1One unit down: y = x - 1One unit to the left: y = x + 1One unit to the right: y = x - 1Shifting a graph vertically involves adding or subtracting from the y-value, while shifting horizontally involves adding or subtracting from the x-value before it is plugged into the function.
Jaylyn rode her bicycle in a bike a thon she rode 33.48 miles in 2.7 hours If she rode at the same speed what was her speed in miles per hour
Answer 12.4
Step-by-step explanation:
33.48/2.7=12.4
Answer: 12.4
Step-by-step explanation: 33.48/2.7=12.4
I Hope This Helps!!!
How many solutions does the system of linear equations have ? Y=3/4x+12
(I need help) - 2/3 divided by 4/6 = ?
A drawer is filled with 9 black shirts, 6 white shirts, and 5 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a white shirt.
Write your answer as a fraction in simplest form.
Answer:
There is a 7/10 chance that it is not white
Step-by-step explanation:
To find this, start by finding the number of total shirts.
9 + 6 + 5 = 20
Now find the number that are not white.
9 + 5 = 14
Now divide the number of non-white by the number in total.
14/20
And simplify the fraction.
7/10
Final answer:
The probability of choosing a shirt that is not white from the drawer is 7/10, since there are 14 non-white shirts out of a total of 20 shirts.
Explanation:
The question asks to find the probability that a shirt chosen at random from a drawer is not white, given that there are 9 black shirts, 6 white shirts, and 5 gray shirts. To tackle this, we'll look at the total number of shirts and then subtract the number of white shirts from this total to find how many shirts are not white. The total number of shirts is 9 (black) + 6 (white) + 5 (gray) = 20 shirts. The number of shirts that are not white would be 20 (total) - 6 (white) = 14 shirts. Therefore, the probability of choosing a non-white shirt is 14 (non-white shirts) divided by 20 (total shirts), which simplifies to 7/10. This fraction is already in its simplest form.
Order the expressions from least value to greatest value.
The order of the expressions from least value to the greatest value is Number 1 < Number 3 < Number 4 < Number 2 and this can be determined by using the arithmetic operations.
Given :
Number 1 -- [tex]-4.8\times 3.2[/tex]
Number 2 -- [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5})[/tex]
Number 3 -- [tex]\dfrac{4.32}{-3}[/tex]
Number 4 -- [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})[/tex]
Evaluate the given expression to determine the order of the expressions from least value to the greatest value.
Number 1 --- [tex]-4.8\times 3.2 = -15.36[/tex]
Number 2 --- [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5}) = \dfrac{9}{4}-\dfrac{7}{5}=\dfrac{17}{20}[/tex]
[tex]2\dfrac{1}{4}+(-1\dfrac{2}{5}) = 0.85[/tex]
Number 3 --- [tex]\dfrac{4.32}{-3}= -1.44[/tex]
Number 4 --- [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})=-\dfrac{13}{5}+\dfrac{7}{5}= \dfrac{-6}{5}[/tex]
[tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})=-1.2[/tex]
Number 1 < Number 3 < Number 4 < Number 2
For more information, refer to the link given below:
https://brainly.com/question/15385899
8,327.8 minus 12.034
Answer:
8327.800
- 12.034
___________
8315.766
Step-by-step explanation:
The answer would be:
8,315.766
To solve this you do:
8,327.8 subtracted by 12.034
Once you do you end up with your results.
Hope this helps! :3
What is the area of the figure
Answer:
91 [tex]in^{2}[/tex]
Step-by-step explanation:
the formula for the area of a triangle is bh1/2 =A
b =12 h =7
12 x 7 = 84
84 divided by half (or multiplied by 0.5) = 42
the triangle is 42
and the square is...
7 x 7 =49
49 +42 = 91
91 [tex]in^{2}[/tex]
hope this helped! Please mark as brainlest! Thanks!
f(x)=3x + h f(h-1)=5
Answer: 4h - 3
Step-by-step explanation:
replace "x" with "h - 1" and simplify
f(x) = 3x + h
f(h - 1) = 3(h - 1) + h
= 3h - 3 + h
= 4h - 3
Eliminate the parameter.
x = t + 4, y = t2 (5 points)
y = square root of x + x + 4
y = square root of quantity x minus four
y = x2 + 16
y = x2 - 8x + 16
Answer:
Last option
Step-by-step explanation:
We have the following equations:
[tex]x = t + 4\ ,\ \ y = t ^ 2[/tex]
The parameter that we must eliminate is t.
To eliminate the parameter we must clear t from both equations:
[tex]x = t + 4\\\\x -4 = t[/tex]
[tex]y = t ^ 2\\\\\sqrt{y} = t[/tex]
if [tex]t = \sqrt{y}[/tex] and [tex]t = x-4[/tex]
So:
[tex]\sqrt{y} = x- 4[/tex]
We square both sides of the inequality
[tex]y = (x-4) ^ 2\\\\y = x ^ 2 -8x +16[/tex]
Add the following lengths: 12'11" + 11'3" ‾‾‾‾‾‾ ' "
Answer:
12'11" + 11'3" = 24'2".
Hope this helps!
Davinia.
To add 12'11" and 11'3", convert excess inches to feet and add them to the total feet to get a result of 24 feet 2 inches.
To add the lengths 12'11" and 11'3", we first add the inches (11 inches + 3 inches = 14 inches). Since there are 12 inches in a foot, we convert the 14 inches into 1 foot and 2 inches. We then add the feet (12 feet + 11 feet + 1 foot from the inch conversion = 24 feet). Therefore, the total length is 24 feet 2 inches.
Which answer is the correct one?
a survey asked 60 students if they play an instrument and if they are in band
1.- 35 students play and instrument
2.- 30 students are in band
3.- 30 students are not in band.
which table shows these dates correctly entered in a two way frequency table?
It would be A. First look at how many play an instrument. A is the only one with 35, which is seen in the total column. To confirm, look at the who is in band or not in band and you'll see in the total row, 30 were in band and 30 were not. This matches exactly with the prompt.
A is gonna be right for apex
brandon has 1 jill has 3 mark has 2 need Nicole has 4 and steve has 0 what is the mean
Answer: The mean is 2.
Step-by-step explanation:
The mean number is a group of numbers is the average. In this group, the numbers are 1, 3, 2, 4 and 0. The total of all of the numbers is 10. In order to calculate the average/mean you need to divide the total by the number of values, which is 10/5 = 2. The mean is 2.
Aaron designed a robot for a contest. His robot can move 3/4 meter in 1/2 second. What is the robot’s unit rate of speed
Answer:
3/4 divided by one half is multiplying by 2 so 6/4 meter
simplify 6/4 into 3/2 meters per second
Answer:
3/4 divided by one half is multiplying by 2 = 6/4 meter
simplify 6/4 into 3/2 meters per second
Step-by-step explanation:
3/4 divided by one half is multiplying by 2 = 6/4
and u simplify 6/4 into 3/2 meters per second
531.75 is 75% of what amount
75% × X =531.75
X =531.75/75
X = 7.09
Answers
7.09
Check! Proof!
75% × 7.09
=531.75
What fraction is equivalent to 0.4?
2/5
How? The decimal .4 is out of ten so it’s 4/10 but then you simplify it and get 2/5
Hope this helps and have a blessed day!
Using the place value chart we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4 out of 10 or [tex]\frac{4}{10}[/tex]. Notice however that [tex]\frac{4}{10}[/tex] is not in lowest terms so we need to divide both the numerator and denominator by the greatest common factor of 4 and 10 which is 5.
Therefore, 0.4 can be written as the fraction 2/5, which is in lowest terms.
Xa/xb = xa-b. This is the______of Powers of property. The word is 8 letters long
Answer:
This is the Quotient of Powers of property. HOPE THIS HELPS!!!
Step-by-step explanation:
Answer:
Power is the Correct Answer
Step-by-step explanation:
Hoped I helped anybody!!!
There are 4 KSU socks and 3 KU socks in a drawer. What is the probability of randomly selecting a KSU sock?
It's step by step. First you need to do 4+3 which equals 7, which is the total number of socks. Since the number of KSU socks is 4, the probability is 4/7.
Note-If another problem like this comes up and the two numbers have a common factor divide those numbers by that common factor and you get the simplest form of the ratio. This note was just a heads up.