Answer:
3 + 4 = 7 which is true.
Step-by-step explanation:
Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.
To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.
You also have to do the same to both sides, kind of like keeping a balance scale in balance.
In this case, we subtract 4 from both sides first:
3x + 4 -4 = 7 - 4
The + 4 - 4 cancel each other out, so you get:
3x = 3
3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:
3x / 3 = 3 /3
so 1x = 1.
Since 1x is "1 times x" it is the same as x by itself, so:
x=1
AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):
3 * 1 + 4 = 7
3 * 1 is 3, so:
3 + 4 = 7 which is true.
1 is the only number that works.
Hope this helped.
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answer:
true
Step-by-step explanation:
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
What is an equation of the line that passes through the points (4, -2) and (8, – 7)?
Put your answer in fully reduced form.
Answer:
y= -5x/4 + 3
Step-by-step explanation:
To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.
Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].
So y - (-2) = (-5/4)(x - 4) (equation of the line)
y + 2 = -5/4(x - 4)
y + 2 = -5x/4 + 5
y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)
You could also use (8,-7) instead of (4,-2).
mga solusyon sa epektibong komunukasyon sa pamilya
Answer:
Translation: Solutions to effective family education
Step-by-step explanation:
could someone help please? this is hard
Step-by-step explanation:
1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2
Answer:
1,2,1, 4, 1
These numbers correspond with the boxes in order from left to right.
Who can answer my question in square LMNO find the length of LM
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.
Answer:
0.419
Step-by-step explanation:
To calculate this, we shall make use of Bernoulli approximation of Binomial distribution
if 20% are defective, then 80% are not defective
Probability of selecting a defective fuse is 20/100 = 0.2
Probability of selecting a non defective one is 0.8
Probability of at least 1 being defective is = 1 - Probability of none being defective
Mathematically that will be;
0.8^8 = 0.168
The above is probability of none defective
So the probability of at least one will be
1 - 0.168 = 0.832
Probability of not more than 1 means;
Probability of none + probability of 1 being defective
We already have probability of none above
Probability of 1 being defective means 8 will be non defective
The probability in this case is;
8 C 1 0.2^1 0.8^7
= 8 * 0.2 * 0.8^7 = 0.336
Add this to the probability of none = 0.336 + 0.168 = 0.504
So the probability that we want to calculate from the question will be;
Probability of at least one defective * probability of not more than one defective
= 0.832 * 0.504 = 0.419
I need help solving this ! I would appreciate it
Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answer:Example 1:
Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.
S8=1(1−28)1−2=255
Example 2:
Find S10 of the geometric sequence 24,12,6,⋯.
First, find r.
r=r2r1=1224=12
Now, find the sum:
S10=24(1−(12)10)1−12=306964
Example 3:
Evaluate.
∑n=1103(−2)n−1
(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)
Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023
In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. Then as n increases, rn gets closer and closer to 0. To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
Example 4:
Find the sum of the infinite geometric sequence
27,18,12,8,⋯.
First find r:
r=a2a1=1827=23
Then find the sum:
S=a11−r
S=271−23=81
Example 5:
Find the sum of the infinite geometric sequence
8,12,18,27,⋯ if it exists.
First find r:
r=a2a1=128=32
Since r=32 is not less than one the series has no sum.
Step-by-step explanation:
Y=|x+2|-3 find the axis of symmetry
In the equation y=2X+7 which
number is the slope?
Slope (m)
Answer:
2 is the slope
Step-by-step explanation:
the equation is y=mx+b so if it is
y= 2x+7 that means the slope is 2
Answer:
2
Step-by-step explanation:
This equation is in y=mx+b form.
Slope = m
Y-intercept = b
This will give you the slope of 2 :)
Find the slope
please help
Answer:
5/2
Step-by-step explanation:
Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.
1) 15 = 2W - 5
2) 24 = 2x - 9
9514 1404 393
Answer:
1) W = 10
2) x = 33/2
Step-by-step explanation:
These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.
__
1) 15 = 2W -5
20 = 2W . . . . . add +5
10 = W . . . . . . . divide by 2
__
2) 24 = 2x -9
33 = 2x . . . . . add +9
33/2 = x . . . . divide by 2
_____
As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.
Can S1 help pls and ty
Answer:
It is 52
Step-by-step explanation:
Hope this helped have an amazing day!
50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answer:
Southwest
Step-by-step explanation:
Southwest always has good timing.
Answer:
SouthWest airlines
Step-by-step explanation:
It is the best Airlines and will always arrive on time
if rst ≅ npq, m∠r = -7x +9, m∠n= -10x, find m∠r and m∠n
Answer:60
Step-by-step explanation: x=10
-7+9=2*10=20
-10*10=100
180-100-20=60
What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)
Answer:
8/3
Step-by-step explanation:
Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.
one factor of 8x^3+1 is 2x+1 The other factor is?
At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?
Answer:
It didn’t go up, it went down 3 degrees
Step-by-step explanation:
It’s negative degrees so the less negative it is the higher it is.
Answer:
it rose by -3C, or went down 3C
Step-by-step explanation:
I’ll mark you brainlist write in y=mx+b form
Answer:
y=-1/8x +4
Step-by-step explanation:
1. First, write the equation in point-slope form: y-y1=m(x-x1)
y-1=-1/8(x-24)
2. Distribute -1/8 to x and -24
-1/8 times x = -1/8x
-1/8 times -24 = 3
y-1=-1/8x+3
3. Add 1 to both sides
y=-1/8x +4
Factor completely 5b^2-11b+6
Answer:
(b - 1) (5b - 6)
Step-by-step explanation:
ILL MARK AS BRAINLESS PLS HELP
Answer:
5765/574
Step-by-step explanation:
there u go lol
which statement is true
Answer:
the answer is B that is
ΔABC is similar to ΔEDC
Step-by-step explanation:
look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.
moreover, c is at the last in abc just like in edc
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?
Answer:
An example can be 14 + (-14) = 0
Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.
Step-by-step explanation:
Hope this helps!
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
Find the diagonal of the box using the Pythagorean Theorem.
Answer:
26 cm
Step-by-step explanation:
Given:
Length = 24 cm
Width = 8 cm
Height = 6 cm
Required:
Diagonal of the box
SOLUTION:
Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,
a, b and c are the dimensions of the box, and d is the length of the diagonal.
Plug in the value into the formula
[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]
[tex] 676 = d^2 [/tex]
[tex] \sqrt{676} = \sqrt{d^2} [/tex]
[tex] 26 = d [/tex]
Length of diagonal of the box = 26 cm
Which equation represents a line with a slope of -2/3
and passes through the point (6,-2)?
Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5
Answer:
The probability is zero
Step-by-step explanation:
For a number to be a multiple of 5, the number must end with either 0 or 5
These are the only numbers in which we can have 5 as a factor of
Now when we raise 2 to any number, there are only some sets of possible results
These numbers are only multiples of 2
These can be;
2, 4, 6 and 8
No root of two has its end in 0 or 5, so none has 5 has its factor
Let us now look at 3
The multiples of 3 when raised are;
3,9,1,7,
As we can see, at no point do we have 5 or 0 as the result
So since we have none of both as ending 5 or 0, the probability we are looking for is zero