An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91.
What is the equation?There are many different ways to define an equation.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation.
As per the given equation,
b + 23 = 114
Add -23 both sides
b + 23 - 23 = 114 - 23
b + 0 = 91
b = 91
Hence "An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91".
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Last year, Derek's mother gave him 53 blue stamps and 36 red stamps to start a stamp collection. Now Derek has 4 times as many stamps in his collection How many stamps does Derek have in his collection? Complete the bar diagram to show your work.
Answer:
At present he has x stamps
Every month he adds 6 numbers, for 8 months
So total added 8x6=48
The total will be x+48 which is expected to be twice of x
x+48=2x
Solving x=48
At present he has 48 stamps
Step-by-step explanation:
Answer:
356
Step-by-step explanation:
53 + 36 = 89
89 x 4 = 356
and where is the bar diagram????
A store pays $306.56 for a refrigerator. The store marks up the price by 29%. What is the amount of the mark-up?
PLS ANSWER THE PICTUREEE
Answer:
1.12
2.11
3.19
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
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Which of the following represents the sum of the series below?
4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40
བ( 13:40)
+
2
о
13
4+40
2
40=3+(n-1)4
40=4+(n-1)3
This expression 40=4+(n-1)3 represents the correct arithmetic progression.
What is an arithmetic progression?
Every term following the first is derived by adding a constant value, known as the common difference, in an arithmetic progression.
We have,
4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40
Arithmetic progression formula:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where
[tex]a_{n}[/tex] = the nᵗʰ term in the sequence
[tex]a_{1}[/tex] = the first term in the sequence
[tex]d[/tex] = the common difference between terms
By using arithmetic progression formula we can find last term of an Arithmetic series.
[tex]a_{n}=a_{1}+(n-1)d[/tex]
[tex]a_{n}[/tex]= 4 + (n-1)3
[tex]a_{n}[/tex] = 4 + (13-1)3
[tex]a_{n}[/tex] = 40.
we have calculated the last term by using arithmetic progression formula which is 40.
Hence, This expression 40=4+(n-1)3 represents the correct arithmetic progression.
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ANALYZE The table below shows the values of a cubic function. Could there be a zero between
x= 2 and x = 3? Justify your argument.
ONLY QUESTION 30
Answer:
No; no sign change of g(x) in that interval
Step-by-step explanation:
The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.
There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].
_____
Additional comments
We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].
__
First differences of the table values are ...
-5, +1, +2, -3, 0
Second differences are ...
6, 1, -5, 3
Third differences are ...
-5, -6, +8
This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...
g(x) = -5/6x^3 +1/2x^2 +7/3x -1
You may want to discuss this question with your teacher.
Need the answer to this pls
Answer:
0
Step-by-step explanation:
1. First, we should know the slope-intercept form of any equation: y = mx + b.
y = y-coordinatem = slopex = x-coordinateb = y-intercept2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.
Additionally, this is a proportional relationship because it follows the format y = kx. Proportional relationships always have a y-intercept of 0.Therefore, the y-intercept is 0.
rewrite in slope intercept
a(bx + y) = c
Due Tomorrow: answer question 3 using steps
Answer:
Step-by-step explanation:
Picture is quite fuzzy so I will ASSUME that the triangle has inner angles of 100° and 34° (now I'm told it's 38)
This means the unlabeled angle is 180 - 100 - 34 = 46°
180 - 100 - 38 = 42°
Using law of sines.
a/sin46 = 12/sin34
a/sin42 = 12/sin38
a = 12sin46/sin34 = 15.17415...
a = 12sin42/sin38 = 13.04217...
round as appropriate. I think it my say to the hundredths
a = 15.17
a = 13.04
If I did not guess the numbers in the photo correctly, just use the same technique to arrive at a better solution.
Given: DE is a midsegment of ∆C. Show all work. Find the value of x and y. What is the length of C?
Answer:
Find out the value of x.
To prove
Definition of mid- segment
It is a segment connecting the midpoints of two sides of a triangle.
It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
As shown in the triangle given below.
As given
DE = 5x and BC = 11x – 15
Thus
15 = 11x - 10x
15 = x
Therefore the value of x is 15 .
Step-by-step explanation:
The ratio of your monthly allowance compared to your friends monthly allowance is five to three and totally you and your friend make $40 how much money do you make
100 points! show work or else i report
A certain microwave requires 1200 watts. How much would it cost to run the microwave for a total of 30 minutes (defrosting chicken) at a cost of $0.20 per kilowatt hour?
[tex]\boxed{\sf E=Pt}[/tex]
E is energy
P is power
t is time in hours
E=1200(0.5h)E=600WhE=0.6KwhCost
0.6(0.2)$0.12Answer:
$0.12
Step-by-step explanation:
Conversions
1000 watts = 1 kilowatt-hour
⇒ 1200 watts = 1.2 kilowatt-hour
60 minutes = 1 hour
⇒ 30 minutes = 0.5 hour
A microwave requiring 1200 watts will use 1.2 kilowatts per hour.
If the microwave is used for a total of 30 minutes, it will use:
⇒ 1.2 × 0.5 = 0.6 kWh
If the cost is $0.20 per kWh, the cost of running the 1200 watt microwave for 30 minutes is:
⇒ 0.6 × $0.20 = $0.12
factor by grouping x^3 − 4x ^2 + 6x − 24
Answer:
[tex](x-4)(x^2+6)[/tex]
Step-by-step explanation:
x³-4x²+6x-24 is our equation
Once we factor it we get
[tex](x-4)(x^2+6)[/tex]
plz help its so confusing
Answer:
20, 4
Step-by-step explanation:
Let's assume total number of students registered is n
Last week n/4 people are absent
so people present are n - n/4 = 3n/4
Today after return of Jen 1/5 n are absent
so people present are n - n/5 = 4n/5
which is also equal to last week present people + 1 (Jen)
= 3n/4 + 1
= (3n + 4) / 4
so (3n + 4) / 4 = 4n/5
=> 3n + 4 = 4n/5 * 4
=> (3n + 4) * 5 = 16n
=> 15n + 20 = 16n
=> 20 = n
=> n = 20
So total students registered for class is 20
today no of people absent = n/5 = 20/5 = 4
A Subchapter S corporation:
is similar to a partnership in that it carries unlimited liability.
is a separate legal entity which is treated like a normal corporation.
has all the organizational benefits of a corporation and its income is only taxed once.
all of the above.
A football team needs £465 to buy a new kit.
They raise £52.45 by holding a cake sale.
How much more money do they need to raise?
(a) Michael bought 19 pounds of sugar for $8. How many dollars did he pay per pound
(b) Latoya runs 4 miles in 34 minutes. How many minutes does she take per mile?
Answer:
A = 2.37500
B = 8.5
Step-by-step explanation:
Explanation A - 19 divided by 8 is 2.37500
Explanation B - 34 divided by 4 is 8.5
Three different maths books are arranged in a line on my table. In how many different orders can these Maths books be arranged.? *
in 5 ways
in 6 ways
in 7 ways
________________________________
that means is it horizontally
vertically
up
down
one by one ?
explain with an example
Answer:
Step-by-step explanation:
Three options for the first position
Two options for the second position
one option for the third position
3•2•1 = 6 ways
their orders could be
1) ABC
2) ACB
3) BAC
4) BCA
5) CAB
6) CBA
Answer:
Would be 6 ways
Step-by-step explanation
3x2=6
Leah is making cookies for her birthday party she wants to double the recipe and uses 1cup of sugar and 3 1/2 cups of flour.how many cups of sugar and flower does the original recipe call for.
Divide everything by half
Since she doubled the recipes, divide all by half.
1 cup of sugar / 2 = 1/2 cup of sugar
3 1/2 cups of flour / 2 = 7/2/2 cups of flour = 7/4 cups of flour or 1 3/4 cups of flour.
Answer:
Sugar: 1/2 Flour: 1 3/4
Step-by-step explanation:
1 cup of sugar
3 1/2 cups of flour
Since the recipe is doubled you'll divide the ingredients by 2.
Sugar: 1÷2=1/2
Flour: 3 1/2÷2=7/4
=1 3/4
Hope this helps :)
PLEASE HELPPPP
Find m∠BXY.
Answer:
I think 30°Step-by-step explanation:
Pls make me brainliest plssssssssssssssImsureeeeeeee123
A line has a slope of –8 and includes the points (5,–3) and (4,z). What is the value of z?
2 (3) to the power of 3 + 5
Answer:
13122
Step-by-step explanation:
Our equation is 2(3)⁸
once its solve we get 13122 as our answer
Please help me with this question
Answer:
M: (-2,6)
M': (-2,-6)
X coordinate
Senna was having a party for 15 friends. She bought 3 jars of
pickles for $4.50. What is the cost per jar?
Answer:
it is 1.5
Step-by-step explanation:
if u do 4.50÷3 you will get 1.5 so the cost per jar is 1.5
11.2+X=-24.7. what is X
After doing some quick calculations, we can determine that X = −35.9
I hope this helps! :)
Answer:
x = -35.9
Step-by-step explanation:
Subtract both sides by 11.2 11.2 - 11.2 equals zero leaving x on one side.
x = - 24.7 - 11.2
A negative minus another negative number is a larger negative number.
x= -24.7 - 11.2 = -35.9
x = -35.9
Will give brainliest
Answer:
down - up +
Step-by-step explanation:
Precalc please help!!
Answer:
Step-by-step explanation:
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Step-by-step explanation:
x = 2
Write an equation in slope-intercept form that has a y-intercept at (0, -3) and also contains the point
(4, 5).
Write your answer as an equation with numbers, letters, and symbols - no spaces.
Answer: y = (1/2)x + 3
Step-by-step explanation:
The equation in slope-intercept form y = (1/2)x+3
How do you write an equation in slope-intercept?To determine how to write an equation from two points, we must determine the value of the slope and the yy-intercept. First, we will calculate the slope. This will be the value of mm in the slope-intercept form equation:
y=mx+b
Let’s answer the question, “What is the slope-intercept form of a line going through the points (1,5)(1,5) and (-4,7)(−4,7)?”
Remember, to calculate the slope we use the equation:
y2-y1/x2-x1
Therefore, the slope of the line is
-2/5
We can substitute
-2/5 for m.
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Which of the following points lie on a line that passes through the origin with a slope of −2/5? Select all that apply.
A)
(0, 0)
B)
(1, −25)
C)
(−2, 5)
D)
(−1, 25)
E)
(4, 10)
F)
(−5, 2)
Answer:
a f
Step-by-step explanation:
(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the points lie on a line that passes through the origin with a slope of −2/5
The line passes through (0, 0) and (x, y) form a slope of -2/5
-2/5=y/x
So y is 2 and x is 5.
Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5
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ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15
Answer:
7.1 in²
Step-by-step explanation:
If you mentally rearrange the figure it's
a circle with a radius of 1
and a square with side of 2
Area of circle
a = 3.14r²
a = 3.14 * 1²
a = 3.14
Ares of square
a = s²
a = 2²
a = 4
Combined ares
a = 3.14 + 4
a = 7.14
Rounded
7.1 in²