Answer:
a) 820
b)450
c) -540
d) -294
e) 1440
f) 1425
Step-by-step explanation:
a) it is an arithmetic progression with ratio=4
a1=3,
a2=3+r=3+4=7.....
a20=a1+19r
so a20=3+19*4=3+76=79
S=(a1+an)*n/2 where n=20
so S=(3+79)*20/2=820
b) a15=a1+14*r=2+14*4=2+56=58
S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450
It is the same formula for all the exercises
S=(a1+an)*n/2 , where n is the number of terms
c) a40=30+39*(-3)=30-87=-57
So S=(30-57)*40/2=-540
d) a14=5+13*(-4)=5-52=-47
S=(5-47)*14/2=-42*14/2=-42*7=-294
e) it is 5+7+9+......+75
nr of terms = (an-a1) :r+1=(75-5):2+1=36
S=(5+75)*36/2=36*40=1440
f) ratio=7-4=3
the same formula for n= (91-4):3+1=87:3+1=29+1=30
S=(4+91)*30/2=95*30/2=2850/2=1425
QS bisects angle PQR. If angle PQS=5x and angle RQS=2x+6, then what is angle PQR?
Answer: the answer is 20
Step-by-step explanation:
I had the same question and did my math and got it right
Give two ways to write each algebraic expression in words.
1. 4+n
2. m-9
3. g/2
4. 4z
Answer:
Look at the explanation below ...
Step-by-step explanation:
1. 4 more than n & 4 plus n
2. 9 less than m & m minus 9
3. g over 2 & g divided by 2
4. 4 time z & 4 multiplied by z
The two ways to write each algebraic expression in words are given below:-
1. 4 more than n & 4 plus n
2. 9 less than m & m minus 9
3. g over 2 & g divided by 2
4. 4 time z & 4 multiplied by z
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The two ways to write each algebraic expression in words.
1. 4+n = 4 more than n & 4 plus n
2.m - 9= 9 less than m & m minus 9
3.g / 2 = g over 2 & g divided by 2
4. 4z = 4-time z & 4 multiplied by z
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What is the independent and dependent variable? Whats the (x) and (y) axis?
Answer:
x-axis(independent) = 1.5
y-axis(dependant) = 75ft
Step-by-step explanation:
An INDEPENDENT variable is the variable yourself can not change, in this case its time. The DEPENDANT variable is the variable that is changed to affect data you are solving for. Idk if this helps you at all to understand for future references but i hope it did!
What will be the unit digit of the cube of a number ending with 4 ?
Answer:
Step-by-step explanation:
4
unit digit=4
cube=64
what does a hand-warmer generate
Answer: heat energy
Step-by-step explanation: not really a math question- but i'll explain it anyways. heat is the transfer of energy, and a hand warmer transfers energy to your hand, making it warm.
Answer:
Heat
Step-by-step explanation:
It generates heat that's why its a hand warmer.
X+5x;x=5 A.30 B.25 C.5 D.20
Answer:
A
Step-by-step explanation:
x+5x if x =5 replace the variable with the key (x=5)
so now the problem reads
5+5*5
acording to oder of operations u do multipcaion 1rst
5+25
30
so ur answer is 30
in the end step by step looks like this
x+5x if x =5
5+5*5
5+25
30
What’s the transformations from y= x^2 for the following equation: h(x)= 2(x-5)-8
150 140 130 120 110 100 90 80 70 60 50 40
11.III
What is the measure of ZJHG?
J
30 20 10
G
H
degrees.
The measure of ZJHG is
Answer:
The measure of ∠JHG is 70 degreesStep-by-step explanation:
If you have one of angle's sides by 0° at protractor then the other side crosses the measure of angle.
The measure of ∠JHG is 70°
What are angles?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”
Given: The protractor has a line that coincides with the line that makes an angle of 70° with the base and thus the ∠JHG =70
Hence, The measure of ∠JHG is 70°
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Solve the equation. Check the solution.
8- 2x - 5- 13x = 6
Answer:
see below
Step-by-step explanation:
8- 2x - 5- 13x = 6
Combine like terms
-15x+3=6
Subtract 3 from each side
-15x+3-3=6-3
-15x = 3
Divide each side by -15
x = 3/-15
x = -1/5
Check
8 - 2(-1/5) -5 -13(-1/5) = 6
8 + 2/5 -5 +13/5 = 6
3 + 15/5 = 6
3+3=6
6=6
Write an equation and solve: Your math homework has 6 more than three
times the number of problems you have on your history worksheet. If you
have 42 problems to do for math and history, how many math problems do
you have to complete for homework?
Answer: 33 math problems.
Step-by-step explanation:
Let x = Number of math problems
y= Number of history problems
According to the question , we have
[tex]3y+6=x\ \ \ \ \ (i)\\\\ x+y=42\ \ \ \ (ii)[/tex]
We can rewrite (i) as [tex]x-3y=6[/tex] (iii)
Now, subtract (iii) from (ii), we get
[tex]y-(-3y)=42-6\\\\\Rightarrow\ y+3y=36\\\\\Rightarrow\ 4y=36\\\\\Rightarrow\ y= \dfrac{36}{4}\\\\\Rightarrow\ y=9[/tex]
Put this in (i), we get
[tex]x=3(9)+6 = 27+6=33[/tex]
Hence, you have to complete 33 math problems.
Hamzah's soccer team is trying to raise $620 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $20 for the breakfast. How many people need to attend their breakfast in order to raise $620?
Answer:
31 people
Step-by-step explanation:
Hamzah soccer team is trying to raise the amount of $620 to travel to a tournament in Florida
The soccer team decide to organise a pancake breakfast
Each person that attends the breakfast must pay $20
Therefore the amount of people needed to attend the breakfast to raise $620 can be calculated as follows
= 620/20
= 31
Hence 31 people need to be in attendance inorder to raise $620
what is the answer to 9 + x = −2 for algebra 1?
Answer:
x = -11
Step-by-step explanation:
Answer:
x = -11
Step-by-step explanation:
9+x=−2
Step 1: Simplify both sides of the equation.
x+9=−2
Step 2: Subtract 9 from both sides.
x+9−9=−2−9
x=−11
x/w=z/y^2 solve for y
Answer:
[tex]\Large \boxed{\displaystyle y=\sqrt{\frac{z \cdot w}{x}}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{w} =\frac{z}{y^2 }[/tex]
Cross multiplication.
[tex]x \cdot y^2 =z \cdot w[/tex]
Dividing both sides by [tex]x[/tex].
[tex]\displaystyle \frac{x \cdot y^2 }{x} =\frac{z \cdot w}{x}[/tex]
[tex]\displaystyle y^2 =\frac{z \cdot w}{x}[/tex]
Taking the square root of both sides.
[tex]\displaystyle \sqrt{y^2 } =\sqrt{\frac{z \cdot w}{x}}[/tex]
[tex]\displaystyle y=\sqrt{\frac{z \cdot w}{x}}[/tex]
which represents a function?
it is B because the x value does not repeat twice
Answer:
the one in the middle
Step-by-step explanation:
why because if you see the x axis when you go over it the one that has a funtion dosent have two of the same number but the one that dosent haves two of the same numbers
Find the value of x if B is the midpoint of AC, AB = 2x + 9 and BC = 37.
Answer:
14
Step-by-step explanation:
B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
1) An elevator is on the 15th floor, it goes down 18 floors
and then up 5 floors. What floor is it on now?
Answer:
It is on floor 2
Step-by-step explanation:
15-18=-3
-3+5=2
hope this helped :)
Answer:
it is on the 2nd floor
Step-by-step explanation: this is because it started at 15, then went down 18: 15-18
-3
then it went up 5: -3+5 or 5-3
to end up at the 2nd floor
1. Simplify the expression. 3[(11–6)2+5]
A 5
B 3
C 15
D 6
Answer:
3 is the answer
mutiply and open bracket minus each other
I need help its a transverse thing I need answer for x and y and could you please explain it
Step-by-step explanation:
Hope ot helps u mate
if there is any problem inbox me
The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?
Answer:
82°
Step-by-step explanation:
The given angles are vertical angles, so have the same measure:
(10x +8) = (12x -10
18 = 2x . . . . . . . . . . add 10-10x
9 = x
10x +8 = 10(9) +8 = 98
So, angles 1 and 3 measure 98°. Angles 2 and 4 are the supplement of this, so ...
∠2 = 180° -98° = 82°
Answer:
82
Step-by-step explanation:
Formula: (10x + 8)Angle 1 = (12x - 10)Angle 3
12x - 10x= 8 -(-10)
2x=18
9
you only need to insert the x value (9) into one equation because angles 1 and 3 are CONGRUENT.
(10 x 9) + 8 = ?
90 + 8= 98
and to solve the question, 180 - 98= 82.
82 is the answer
Thanks for the help, question below :)
Hello, please consider the following.
[tex]x^2-6x=-5\\\\\text{We add 5 to both sides of the equation}\\\\x^2-6x+\boxed{5}=-5+\boxed{5}=0\\\\\text{The answer to a) is then c = 5.}\\\\\text{We complete the square by noticing that }\\\\x^2-6x=x^2-2*3*x=(x-3)^2-3^2\\\\\text{So the main equation becomes.}\\\\x^2-6x+5=(x-3)^2-9+5=0\\\\\text{We simplify.}\\\\(x-3)^2-4=0[/tex]
[tex]\text{We add 4 to both sides.}\\\\(x-3)^2=4=2^2\\\\\text{The answer to b) is then}\\\\\boxed{(x-3)^2=4}\\\\\text{We take the root.}\\\\x-3=\pm2\\\\<=> x =3+2=5 \ \ or \ \ x=3-2=1\\\\\text{So the solutions are.}\\\\\Large \boxed{\sf \bf \ \ x=5 \ \ or \ \ x=1 \ \ }[/tex]
Thank you.
What is 8 2/5 as a decimal number
Answer:
8.4
Step-by-step explanation:
8 is a whole njmber, so it stays the same.
2/5 is equivalent to .4, so you put that at the end.
Your answer is 8.4 Hope this helps!
The decimal number is 8.4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
8(2/5)
= (8 x 5 + 2) / 5
= (40 + 2) / 5
= 42/5
= 8.4
Thus,
The decimal number is 8.4.
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What is a strategy that you can use when you are adding and subtracting more than 2 integers? What is your process? Example: -2 + -8 --5 +3 =
Answer: i just add 2 integers as i go
Step-by-step explanation: like for that problem i would go -2 +-8 is -10 then do -10 --5 which is -5 then do -5 +3 which is -2.
The cost to rent a scooter in a busy metropolitan area is $25 plus $0.60 per mile. If Michael spent $43.20 to ride a scooter one day, what is the meaning of .60m in the equation shown here? 25 + 0.60m = 43.20 1:The initial cost before riding the scooter. 2:The total cost per miles. 3: The total cost for the day. 4: None of the above.
Help needed immediately! Please! Need answers!
Answer:
0.60 m is total cost paid per mile
Step-by-step explanation:
Given:
Cost of renting a scooter = $25
Extra cost = $0.60 per mile
Total cost = $43.20
Find:
Meaning of 0.60 m
Computation:
25 + 0.60 m = 43.20
0.60 m = 43.20 - 25
0.60 m = 18.2
m = 30.33 mile
So,
0.60 m is total cost paid per mile
simplify 2x^2-1+4x^2-5
Answer:
6x^2-6
Step-by-step explanation: algebra
So I keep getting 188 or 88 but I got the reminder right I’m not sure what I did wrong
Answer:
Step-by-step explanation:
7619 / 7
= 1088 remainder 3.
In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Answer:
16
Step-by-step explanation:
You add 7, 4 and 5 to get 16.
Quadrilateral A has side lengths 2,3,5 and 6. Quadrilateral B has side lengths 4,5, 8 and 10. Could one of the quadrilaterals be a scaled copy of one another
Answer:
No
Step-by-step explanation:
Given
Quadrilateral A: 2,3,5 and 6
Quadrilateral B: 4,5, 8 and 10
Required
Determine if one is a scale of another
To do that, we have to divide the corresponding lengths to give ratio.
Considering Side of A = 2 and Side of B = 4
[tex]Ratio = \frac{B}{A}[/tex]
[tex]Ratio = \frac{4}{2}[/tex]
[tex]Ratio = 2[/tex]
Considering Side of A = 3 and Side of B = 5
[tex]Ratio = \frac{B}{A}[/tex]
[tex]Ratio = \frac{5}{3}[/tex]
[tex]Ratio = 1.67[/tex]
There's no need to check further, since the two ratios calculated so far do not have the same value;
Hence, one quadrilateral is not a scale of the other
Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm.
They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for
the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge
$75.00 per hour for the house plans. Let a represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the
following statements are true? Select all that apply.
Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
Rock the House Digital Designs
Cost = $(500 + 50h)Elegant Home Architects
Cost = $(75h)===========================
Answer options:
1)The expression 50h represents the total charge for Rock the House Digital Designs.
Incorrect. Additional $500 charged.2)The expression 75h represents the total charge for Elegance Home Architects.
Correct3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
Incorrect. They will choose one of the options.4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $12505)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875What is the value of the expression below when x equals 5?
16 + 10x
Answer:
66
Step-by-step explanation:
Plug in 5 for x
16 + 10(5)
16 + 50 = 66
Answer:
66
Step-by-step explanation:
So we have the expression:
[tex]16+10x[/tex]
To find the value of the expression when x is 5, substitute 5 for x:
[tex]=16+10(5)[/tex]
Multiply:
[tex]=16+50\\[/tex]
Add:
[tex]=66[/tex]
Someone please help me with 1-4!