Answers
Answer: Ill show you some not everything so u can try
Step-by-step explanation: for example 8+y=92
you can make a new problem...
move the 92...
92
subtract
92-
subtract the other number which isnt the variable
92-8
subtract and you get your answer!
Step-by-step explanation:
an equation means that whatever is on one side of the "=" sign is truly equal to whatever is on the other side.
it is like a balance.
you can change the content on one side of the balance, but then you have to make the same change on the other side of the balance. otherwise the balanced relation between both sides is destroyed. and it is no longer an equation.
for the same reason, you can perform any mathematical operation on an equation, as long as you do it simultaneously on both sides.
all these equations are equations with one variable.
so, if we find a way to bring all terms with the variable to one side, and everything else (typically constant numbers) to the other side, while still maintaining the equation relation, then we can solve this by saying "this is only an equation, if the variable has this is that value".
and that is the whole trick.
so, for e.g. t + 3 = 5, how can we get only the variable on one side ? well, the "+ 3" is disturbing, so we subtract 3.
and to keep the balance, we need to subtract 3 on both sides.
that gives us then
t + 3 - 3 = 5 - 3
t = 2
and boom ! the equation has solved itself right in front of our eyes.
and the same thing for all the other equations.
find what is the disturbing additional term on the side of the variable, then get rid of it (and repeat that exact action on the other side) and see what is left on the other side. and you have solved the equation.
that works in every direction like
n + 22 = 5
n + 22 - 22 = 5 - 22
n = -17
12.5 = 7.4 + z
12.5 - 7.4 = 7.4 - 7.4 + z
5.1 = z or
z = 5.1
remember, it is an equation like a balance. you can switch the balance bowls from left to right and right to left, and still they are in balance.
Related Questions
Can anyone give a step-by-step guide on how to answer these types of questions? I'm really struggling with similar shapes so thank you in advance.
Answers
Answer:
a) 8cm
b) 19.8cm
Step-by-step explanation:
The key to these types of questions is to keep proportions in mind.
To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.
The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.
CD = 4.8 * (10/6) = 8
CD = 8cm
For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.
AC = 4.5 * (10/6) = 7.5
AC = 7.5
But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.
7.5 - 4.5 = 3
So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.
4.8 + 4 + 8 + 3 = 19.8cm.
Hope this helps.
Answer:
a) CD = 8 cm
b) Perimeter of EBCD is 19.8 centimeters
Step-by-step explanation:
For this question, you can assume that ΔABE and ΔACD are similar. That's proven by BE ║ CD, but that's not directly relevant to the question so I won't explain it unless you would like me to.
In 2 similar triangles, all corresponding angles are congruent and all corresponding sides have the same scale factor.
For example, in ΔABC and ΔXYZ:
[tex]\frac{AB}{XY} =\frac{AC}{XZ} =\frac{BC}{YZ}[/tex]
Using those relationships, you can solve for any side in one triangle given the corresponding side in the other triangle.
A)
In the given triangles ΔABE and ΔACD, CD corresponds to BE, so:
[tex]\frac{CD}{BE} =\frac{AD}{AE}[/tex]
where AD is just 6 + 4 = 10.
[tex]\frac{CD}{4.8} =\frac{10}{6} \\\\\frac{CD}{4.8} =1.6667\\\\CD=8[/tex]
CD = 8cm
B)
Doing the same thing as above, now find the length of AC:
[tex]\frac{AC}{AB} =\frac{AD}{AE} \\\\\frac{AC}{4.5} =\frac{10}{6}\\\\\frac{AC}{4.5} =1.6667\\\\AC=7.5[/tex]
Now, to find BC:
[tex]BC=AC-AB\\BC=7.5-4.5\\BC=3[/tex]
Finally, add up the sides to find the perimeter of EBCD:
[tex]4.8+3+8+4\\19.8[/tex]
Perimeter of EBCD is 19.8 centimeters
38
21
21
X
What is the value of X
Answers
Answer:
80
Step-by-step explanation:
honestly it depends on the question but if it's addition, this is the answer
multiply pi with 10,000
:>
Answers
Answer:
3.14 x 10,000 equals 31,400
Step-by-step explanation:
Answer:
31415.9
Step-by-step explanation:
yeah-ya............. right?
In which quadrant does the point (-4, -5) lie?
Answers
Answer:
Quadrant 3
Step-by-step explanation:
3rd quadrant. because both x and y are negative
Hurry question is on picture
Answers
Answer:
The last one
Step-by-step explanation:
The rule y times x will give the amount of money earned. After washing x cars. You'll end up with equivalent coordinates
Answer:
y=8x
Step-by-step explanation:
y=8(1)=8 (1,8)
y=8(2)=16 (2,16)
y=8(3)=24 (3,24)
y=8(4)=32 (4,32)
y=8(5)=40 (5,40)
y=8(6)=48 (6,48)
y=8(7)=56 (7,56)
60 out of 300=?
I’m not sure how to figure that out
Answers
Answer:
60 / 300 simplified 6/30 simplified 1/5 (20%)
Step-by-step explanation:
Maybe asking ratio?
a= 1 2 3 4 5 is the solution of a set of the variable equation
3x=15
Answers
Answer:
3x = 15
x = 15/3
x =5
Write the equation of a line that is parallel to y = –5/4x +7
and that passes through the point -4.1).
Answers
Step-by-step explanation:
a general line equation is
y = ax + b
the slope of a line is always the factor of x (a).
it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here it is -5/4.
it says, when x changes by +4, then y changes by -5.
a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.
and we get it by using the point coordinates in the equation and then solve for b :
1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b
b = -4
so, the full equation of the parallel line is
y = -5/4x - 4
Ms. Apple is expanding her restaurant in Kenton, Oklahoma. She has enough
booths to seat up to 40 people. She is ordering tables for seating to fill the newly
added on space. Each table can seat up to 6 people, and she plans to seat up to 125
people in the dining area. Write an inequality that Ms. Apple can use to determine
the number of tables (1) that she needs to order. How many tables does she need
to order?
Answers
Answer:
She needs 16 tables because 40 divided by 6= 8 thne you would do the amout of people and the tables so you would do 125 divided by 8 and you would get 15.625 and if you round it you get 16
2 or more angles are complementary if their sum is 90°. 3 angles are complementary. One angle is 3 times the value of the smallest angle and the largest angle is 5 times the value of the smallest angle.
I really need help again to find the measures of all the 3 angles.
Again like I said, “I give the Brainliest to whoever got the best correct answer with anyone’s best efforts of step-by-step explanation, so anyway guys, good luck with your answering and I will check to see if you understand my question or not in order to answer my mathematics question! :)”
Answers
Answer:
Smallest Angle : 10 degrees
Middle Angle : 30 degrees
Biggest Angle : 50 degrees
Step-by-step explanation:
3x+5x+x=90, 9x=90, x=10
Smallest Angle : 10 degrees
Middle Angle : 30 degrees
Biggest Angle : 50 degrees
what is 5x486??????????????????????????
Answers
x 5
___
2430
the answer is 2430
Answer:
the answer is 2,430
Step-by-step explanation:
5×486=N
=2,430
HELPPPPPPPPPPPP Plsssssssss
Answers
Answer:
either A or D
Step-by-step explanation:
fill in the blanks ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answers
Answer:
See belowStep-by-step explanation:
If two triangles are congruent, then the corresponding sides and angles are congruent with each other.
Given:
ΔRED ≅ ΔSUNThe following are congruent parts:
∠E ≅ ∠URE ≅ SU∠DRE ≅ ∠NSU∠R ≅ ∠SNote Pay attention to order of vertices when comparing the congruent parts
[tex]\\ \sf\longmapsto <E\cong <U[/tex]
[tex]\\ \sf\longmapsto \overline{RE}=\overline{SU}[/tex]
[tex]\\ \sf\longmapsto ∆DRE=∆SUN[/tex]
[tex]\\ \sf\longmapsto <R\cong <S[/tex]
Hope it helps
Jamya mixes 3 cups of soda with 5 cups of punch. How much does she mix with 18 cups of punch?
Answers
Answer:
Well we can make a proportion in this scenario
So 3 cups of soda to 5 cups of punch
And how much soda for 18 punch.
Well we can do this
make “x” the amount of soda
And then make a proportion
3/5 = x/ 18
Now solve
You can cross multiply
54=5x
x=10.8
10.8 soda
will give brain for right answer
Answers
Answer:
luna
Step-by-step explanation:
compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth
If
f
(
x
)
represents the number of hours required to travel
x
miles, what is the domain of the function,
f
(
x
)
?
Answers
Given that f(x) is a function that represents number of hours required to travel, the domain of the function is: distance travelled in miles (x)
Recall:
In a relation that is a function, the domain of the function is the set of input values (x-values).The range of the function is the set of output values (y-values or f(x)).Thus, given that f(x) is a function that represents number of hours required to travel, therefore:
x = input values (domain) = distance travelled in milesf(x) = output values (range) = number of hours.Learn more about domain of a function on:
https://brainly.com/question/10197594
84 = 4(1– 49)
please give an explanation
Answers
Answer:
give me more information on this
An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 fruits were sold for a total of $2.10. How many apples were sold?
Answers
Answer:
6 apples
Step-by-step explanation:
A = 0.25
P = 0.15
----------------
A + P = 10
0.25A+0.15P=2.10
----------------
I did this: 0.25*10 = 2.50
2.50-2.10=.40
0.25-0.15=0.10
0.40/0.10 = 4 so 4 peaches
10 fruits - 4 peaches = 6 apples
sin10°-cos10° product and evaluate
Answers
[tex]\\ \sf\longmapsto sin10°-cos10°[/tex]
[tex]\\ \sf\longmapsto sin(90-10°)-cos10°[/tex]
sin(90-A)=cosA[tex]\\ \sf\longmapsto cos10-cos10[/tex]
[tex]\\ \sf\longmapsto 0[/tex]
Use the Distributive Property to solve the equation.
2(x+5)=20
The solution of the equation is
Answers
Answer:
2x+10=20 so x=5
Step-by-step explanation:
Factorize the following Equation and show your work
x^{2} - 10x +25
Answers
Answer:
(x-5)(x-5)
Step-by-step explanation:
x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.
HURRY for Brainlist
The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.
Write an equation to represent the total cost for printing the shirts.
Question 1 options:
C = 21 + 40t
C = 21t - 40
C = 21t + 40
C = 21t
Answers
y = 2.50x + 7.50
Domains:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10
As you can’t ride 0.2 or 0.7 of a ride, for example, and you only have time for ten rides. Plus you have enough money to ride ten rides
For the drama club one:
C = 21t + 40
Is the correct answer as 40 is a set value and is not influenced by the amount of club members there are, x is the amount per shirt, and C is the cost
C = 21t + 40
Explanation:
Since the fee is 40 it’s +40 which in turn means doesn’t get affected by t hope this helps
How to draw on the graph
y=3x
y=x-6
I need it as soon as possible plz
Answers
Answer:
I believe the graphing should look like this.
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
[tex]m=\frac{2}{3}[/tex]
Step-by-step explanation:
We can see that some of the points that are plotted we can tell what those plots are (-2, 0) (1, 2) (4, 4)
We use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] for any of the two plots that are shown on the line
Answer:
2/3
Step-by-step explanation:
Greg's garden shop sells oak tree saplings for 24.90 dollars. Employees receive a discount of 30 percent off the regular price. How much would an employee pay for an oak tree sapling?
Answers
Answer:
$17.43
Step-by-step explanation:
30% of 24.9 is 7.47, subtract 7.47 from 24.9 and you get 17.43
Write the equation of the line that passes through the points (9, 3) and (-7, -7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
a
line.
Answers
Answer:
y-3=5/8(x-9)
Step-by-step explanation:
First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8
Now we can just plug in a point into point slope form
y-3=5/8(x-9)
In a certain year, 20% o RSM AMC 10 participants were invited to compete in American Invitational Mathematics Examination. How many RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME
Answers
Answer:
765 students
Step-by-step explanation:
x- total number of students
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students
The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.
If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;
x be the total number of students
Therefore,
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ3
Will give brainliest if right
Answers
Answer:
the answer is d to the problem
Find the perimeter. Simplify the answer
Answers
Answer:
10s-14
Step-by-step explanation:
Perimeter of rectangle = 2s+2(4s-7)
= 2s+8s-14
= 10s-14
= > Perimeter of rectangle = 2(l + b)
= > 2(s + 4s - 7)
= > 2(5s - 7)
= > 10s - 14...ans
Step-by-step explanation:
Hope it Helps you!!A number added to five cubed.
Write an equation
Answers
Answer:
x+5^3
Step-by-step explanation:
Let x be the number
cubed is raised to the third power
x+5^3