Answer:
1
Step-by-step explanation:
First, solve four your last bracket, 2 squared is 4 and minus 5 is -1 times 21 is -21. Yet because the outer symbol is a negative, all signs change-making 21 positive. Solve 4*-6, and you get -24. This leaves you with [2-24-4+21] that gives you -5. Yet, because the outer sympol is a negative, 5 becomes positive. This leaves you with 1.
Answer:
71
Step-by-step explanation:
− 4 − [2 + 4(− 6) − 4 − (2²- 5×21)]
− 4 − [2 + 4(− 6) − 4 − (4 - 5×21)]
− 4 − [2 + (-24) − 4 − (4 - 105)]
− 4 − [-22 − 4 − (-101)]
− 4 − [-22 − 4 + 101]
− 4 − [-22 + 97]
− 4 − [-22 + 97]
− 4 − [75]
− 4 − 75
71
use the following list to find the average or mean, the median, the mode, and the range 10, 15, 5, 8, 6, 6, 2
Answer:
Mean - 7.43
Median - 6
Mode - 8
Range - 13
Step-by-step explanation:
To find the mean/average, add up all the numbers and divide the sum by the # of data points. (ex. you have 7 numbers, so you divide the sum of the numbers by 7.)
The median of a set of data is the middle number of ascending numbers in the data. If there was an even number of data points you would have to add the 2 middle numbers and divide by 2.
The mode is the number that appears most frequently in the data set.
To find the range, just subtract the lowest number in the data set from the greatest number.
Answer:
mean= 7.4, median = 6, mode =6, range = 13
Step-by-step explanation:
mean = 10 + 15 + 5 + 8 + 6 + 6 + 2 ÷ 7
= 52 ÷ 7
= 7.4
median= 2, 5, 6, 6, 8, 10 , 15
6
median is the middle number from ascending order
mode = 6
mode is the number that occurs the most
range = 15 - 2
13
range is the different between the largest and smallest number
Brainliest is appreciated
7.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
Year
Estimated Population
0 91
1 70
2 54
3 42
4 32
A. quadratic; 0.77x2 + 91
B. exponential; y= 91 * 0.77x
C. linear; y= 0.77x + 91
D. quadratic; y= 91x2 + 0.77
Answer:
All I can say is that it isn't linear, as the number would then be the same every year
Answer:
B. exponential; y= 91 * 0.77x
Step-by-step explanation:
The Answer is A.
y=91*0.77^x
I just substituted the x on all of them and only one got the corrct y which is A.
Karl drove for 4 hours. For part of the trip he drove at 50 miles per hour. For the rest of the trip he drove at 100 miles per hour.
All together he drove 250 miles.
Solve this equation for h to find out how many hours he drove at 50 miles per hour.
250 = 50h + 100(4 - h)
Answer:
3 hours
Step-by-step explanation:
250 = 50h + 100(4 - h)
250 = 50h + 400 - 100h
250 = -50h + 400
-150 = -50h
h = 3
Ray's birthday is 8 more than four times the number of days away from today than Jane's birthday. If Ray's birthday is 24 days from today, how many days untill Jane's birthday?
Answer:
4 days
Step-by-step explanation:
Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.
please help 50 points.
Answer:
50° and 130°Step-by-step explanation:
∠1 with 53° arc measure is vertical pair with 47° arc:
m∠1 = 1/2(53° + 47°) = 1/2(100°) = 50°∠1 and ∠2 are forming a straight line:
m∠2 = 180° - 50° = 130°53° and 47° angled arcs are vertical pairs
m<1=1/2(47+53)=50°<1 and <2 are linear pair
m<2=180-50=130°
Given the function f(x) = 4x+2, what is the value of f(3)?
Answer: f(3) = 14
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given function
f(x) = 4x + 2
Substitute value of the x into the expression
f(3) = 4(3) + 2
Simplify by multiplication
f(3) = 12 + 2
Simplify by addition
f(3) = [tex]\boxed{14}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
Answer:
450
Step-by-step explanation:
The total is 100 %
20% + 35% +15% = 70%
100-70 = 30
He saves 30%
1500 * 30%
1500 *.30
450
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
S O L U T I O N :Total Income = $ 1500
According to the question,
He spends 20% to his kids education
He spends 35% for food
He spends 15% for miscellaneous
Out of total income he spends 20% on kids education
So, amount spent on kids education = 20% of $1500
Amount = 20/100 × $1500
Amount = $300
Hence, money spent on his kids education is $300
35% is spent on food
Money spent on food = 35% of $1500
Money spent = 35/100 × $1500
Money spent = $525
Hence, money spent on food is $525
15% is spent on miscellaneous
Money spent on miscellaneous = 15% of $1500
Money spent = 15/100 × $1500
Money spent = $225
Hence, money spent on miscellaneous is $225
Now, adding all the three we get
$300 + $525 + $225
$825 + $225
$1050
Total money spent = $1050
Remaining money = $1500 - $1050 = $450
Remaining amount left with him is $450the basics of geometry
Answer:
go to MME click revise gcse maths and it would say geomatry foundtion Step-by-step explanation:
Answer:
Step-by-step explanation:
point: the basic unit of geometry
line: it extends to 2 directions without any end
line Segment: it is a line but has end points eg the length of you book
(And there are a few types of lines like parallel lines and intersecting lines you can check that on You tube)
Rays: Rays are like line segments but has only 1 end point
curves: do i have to explain its just some squiggles
Polygons: polygons are shapes that are made up of straight line Segments
polygons are named based on the number of sides it has
3 sides: TRIANGLES
4 sides: QUADRILATERALS
5 sides: PENTAGONS
6sides : HEXAGONS and there are many more...
THERE WAY TOO MUCH LIKE ANGLES, INTEROR POINT, EXTEROR POINT, CIRCLES ETC sorry i can't explain that much......
evaluate the expression when y= -2 and z = -5
2z/y
Answer:
5 is the answer
Step-by-step explanation:
[tex] \frac{2 z}{y } \\ = \frac{2 \times ( - 5)}{ - 2} \\ = \frac{ - 10}{ - 2} \\ = 5 \: ans.[/tex]
when \(y = -2\) and \(z = -5\), the value of the expression \(2z/y\) is \(5\).
How to evaluate the expression when y= -2 and z = -5 2z/yTo evaluate the expression \(2z/y\) when \(y = -2\) and \(z = -5\), follow these steps:
1. Substitute the values of \(y\) and \(z\) into the expression:
\(2z/y = 2(-5) / (-2)\)
2. Perform the calculations:
\(2z/y = -10 / (-2) = 5\)
So, when \(y = -2\) and \(z = -5\), the value of the expression \(2z/y\) is \(5\).
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An alloy is made of copper and iron by weight. 42% of it is copper and the rest is iron. If the alloy weights 55 kg, find the weight of copper and iron
Answer:
percent of iron in alloy= 100-42 = 58%
weight of the iron = 55×58÷100= 31.9
weight of iron= 31.9 kg
weight of copper= 55-31.9=23.1
weight of copper = 23.1
Step-by-step explanation:
[ I'm not sure but I think this is right ]
Answer: copper = 23.1 kg
iron = 31.9 kg
Step-by-step explanation:
copper = 42% of 55
= 42/100 * 55
= 42/20 * 11
= 21/10 * 11
= 231/10
= 23.1 kg
so iron = 100% - 42%
= 58%
so
58% of 55
= 58/100 * 55
= 58/20 * 11
=31.9 kg
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -4
Step-by-step explanation:
[tex]-8x+3=-6x+11\\\\-2x+3=11\\\\-2x=8\\\\x=-4[/tex]
Answer:
x = -4
Step-by-step explanation:
-8x + 3 = -6x + 11
transpose
-8x +6x = 11 - 3
-2x = 8
x = 8/-2
x = -4
f(x)=x^2-6x
g(x)= √x
Evaluate f(g(25)) = ???
Answer:
f(g(25)) = -5
Step-by-step explanation:
You have to put 25 in place of x in g, and after, you take the result and put in place of x in f:
g(5) = √25 = 5
f(5) = 5^2 -6•5
f(5) = 25 -30
f(5) = -5
hcf of x^2 + 2x - y^2 + 2y
Answer:
[tex](x + y) \times (x - y + 2)[/tex]
Step-by-step explanation:
[tex]x^{2} + 2x - {y}^{2} + 2y[/tex]
➡️ [tex](x - y) \times (x + y) + 2(x + y)[/tex]
➡️ [tex](x + y) \times (x - y + 2)[/tex]
a rectangular garden is fenced on all sides with 72 feet of spacing. The garden is 4 feet longer than it is wide. find the length and width of the garden
Answer:
the length is 20 feet and the width is 16 feet long
Step-by-step explanation:
solve for x
8x = y
PLEASE HELPPPPPP
Hi ;-)
[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
~Simplify
-6x + 8 - x - 3
-7x + 5 = 33
~Subtract 3 to both sides
-7x = 28
~Divide -7 to both sides
x = -4
Best of Luck!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
solve the brackets first
-6x + 8 -x -3 = 33
-6x - x + 8 - 3 = 33
-7x + 5 = 33
-7x = 33-5
-7x = 28
x = 28/ -7
x = -4
8x-4(x+8)=8. what's the answer, i need the work as well
Answer:
x=10
Step-by-step explanation:
8x-4x-32=8
4x=40
x=10
Answer:
x = 10
Step-by-step explanation:
8x-4(x+8)=8
8x - 4x - 32 = 8
4x - 32 = 8
4x = 40
x = 10
rationalise 2 divided by 2 square root 3
Answer:
[tex]\displaystyle \frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]
I am joyous to assist you at any time.
What is 22/5 subtract 11/6
Step-by-step explanation:the LCM of 5 and 6 should be taken which is 30 the 22 should be multiplied with 6 11 to be multiplied with 5 so by subtracting their product we get the result as 77/30
please mark me the brainliest
The students must take part in at least one of the activities among the extra curricular activities in a school. Out of 40 students of a class, 25 students take part in debate and 30 students take part in quiz contest, then i. show the above information in a Venn diagram. ii. how many students have taken part in both activities? iii. how many students have taken part in only one activity?
Answer:
Total number of students = 40Debate = 25 studentsQuiz contest = 30 studentsi)
Sum of two parts:
25 + 30 = 55Students taking part in both parts:
55 - 40 = 15ii)
Debate only:
25 - 15 = 10Quiz contest only:
30 - 15 = 15Venn diagram will look like this:
10 15 15Debate - both - quiz contestHe earns 300 reward points for every 100 dollars he spends. If he earned 1,800 reward points, how much money did he spend
Answer:
$600
Step-by-step explanation:
1800/300 = 6, so he got 6 'lots' of reward points
6 * 100 = $600
Answer:
He spent $600
Step-by-step explanation:
What you do is 1800/300= 6, so 100 × 6 = $600
Write a proportion for the situation, and then solve.
1. A test is worth 36 total points, and you want to get an 87% on it. How many
points do you need to score?
Please help fast. I will give brainliest. Show work pls.
Answer:
[tex] \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex]
Step-by-step explanation:
[tex] \sqrt[3]{ \frac{243 {a}^{11} }{9 {b}^{9} } } = \sqrt[3]{ \frac{27 {a}^{11} }{ {b}^{9} } } [/tex]
➡️ [tex] \sqrt[3]{ \frac{27 {a}^{11} }{ \sqrt[3]{ {b}^{9} } } } = \sqrt[3]{ \frac{ {3}^{3} • {a}^{9} • {a}^{2} }{ \sqrt[3]{ {b}^{9} } } } [/tex]
➡️ [tex] \frac{ \sqrt[3]{ {3}^{3 }} • \sqrt[3]{ {a}^{9} } • \sqrt[3]{ {a}^{2} } }{ \sqrt[3]{ {b}^{9} } } [/tex]
➡️ [tex] = \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex] ✅
yancy made a 1:14 scale model airplane. the model airplane's tail is 5.7 inches long what is the length of the actual airplane tail its modeled after? round to two decimals
Scale factor used by Nancy for the model of an airplane = 1 : 14
Length of the tail of the airplane = 5.7 inches
Scale factor is defined by the expression,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
By substituting the dimension of the model in the expression,
[tex]\frac{1}{14}=\frac{5.7}{\text{Dimension of the original}}[/tex]
Dimension of the original plane = 14 × 5.7
= 79.80 inches
Therefore, length of the tail of the actual airplane will be 79.80 inches.
Learn more,
https://brainly.com/question/11053144
Length of Actual airplane's tail is 79.8 inches or 6.65 ft
Given:
Scale model sample = 1 : 14
Length of model airplane's tail = 5.7 inches
Find:
Length of Actual airplane's tail
Computation:
Length of Actual airplane's tail = Length of model airplane's tail × Scale model sample
Length of Actual airplane's tail = 5.7 × 14
Length of Actual airplane's tail = 79.8 inches
Length of Actual airplane's tail = 79.8 inches or 6.65 ft
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in the diagram above length of Ps= length SQ , and angle SQR=112°
The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form
Answer:19
Step-by-step explanation:
because if it added it becomes that
PL help meeeeeee!!! Im stuck
for the sequence defined by tn=3n+8 find each indicated term
a) t1 b)t7 c)t14
Answer:
a) 11 b) 29 c) 50
Step-by-step explanation:
tn=3n+8
(a) t(1) = 3(1) + 8 = 11
(b) t(7) = 3(7) + 8 = 29
(c) t(14) = 3(14) + 8 = 50
How can i solve this?
Answer:
Perimeter is (8x + 4) units.
Step-by-step explanation:
[tex]{ \sf{perimeter = side + side + side}} \\ { \sf{p = (2x + 1) + (7x - 2) + (5 - x)}} \\ { \sf{p = (2x + 7x - x) + (1 - 2 + 5)}} \\ { \sf{p = 8x + 4}}[/tex]
What is the answer to 2[5+2(8-6)]
Step-by-step explanation:
=2[5+2(8-6)]
=2[5+2(2)]
=2[5+4]
=2×9
=18
Answer: 18
Concept:
When encountering a question that needs to do operations with expressions, using the PEMDAS method will ease the process.
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionSolve:
Given
2 [5 + 2 (8 - 6)]
Simplify values in the parentheses
=2 [5 + 2 × 2]
Simplify with multiplication
=2 [5 + 4]
Simplify the parentheses
=2 × 9
=18
Hope this helps!! :)
Please let me know if you have any questions