Answer:
x= 76/79
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain a variable (x).
2a-3b=4, solve for b
Answer:
b= - 4/3 + 2a/3
Step-by-step explanation:
The required simplified expression for b is b = [2a - 4] / 3.
Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
2a - 3b = 4
-3b = 4 - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3
Thus, the required simplified expression for b is b = [2a - 4] / 3.
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"There are 9 students in a class. 3 of them are selected to form a committee where each member is assigned a unique position in the committee (President, Vice President, etc.) How many different committees are possible?"
Answer:
6
Step-by-step explanation:
explain why the quadratic relation y=2x^2+3x+5 would have no zeros
Complete the square to rewrite the quadratic:
2 x² + 3 x + 5 = 2 (x² + 3/2 x) + 5
... = 2 (x² + 3/2 x + 9/16 - 9/16) + 5
... = 2 (x² + 3/2 x + (3/4)²) + 5 - 9/8
... = 2 (x + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) x for which y = 0.
Select the word problem that can be modeled by the addition of two negative numbers. A Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions? B Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions? C Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? D Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Answer: A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions?
Step-by-step explanation:
Word problem which can be modeled by the addition of two negative numbers :
A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions
Amount spent on cracker = - $4
Amount spent on carrot = - $3
Change in account = - 4 + (-3) = - $7
B.) Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?
Amount received from sale of cat = $9
Amount spent on plant = - $4
Change in account = 9 + (-4) = $5
C.) Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions?
Amount received from sale of pottery = $9
Amount received from sale of hat = $2
Change in account = 9 + 2 = $11
D.) Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Amount spent on VCR = - $8
Amount received from sale of VCR = $9
Change in account = - 8 + 9 = $1
A single card is drawn from a standard deck. Find the probability of the following event. (Enter your probability as a fraction.) Drawing a black card or a face card
Answer:
8/13
Step-by-step explanation:
In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).
P(A∪B)=P(A)+P(B)-P(A∩B)
There are 26 black cards in a standard deck so,
P(A)=26/52.
There are 12 face cards in a standard deck so,
P(B)=12/52.
There are 6 cards that are black face cards.
P(A∩B)=6/52.
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=26/52+12/52-6/52
P(A∪B)=38/52-6/52
P(A∪B)=32/52
P(A∪B)=8/13
Thus, probability of drawing a black card or a face card is 8/13.
What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
Answer:
Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)
Step-by-step explanation:
XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD
Find the focus and directrix of the parabola with the given equation. y^2-4x=0
Answer:
directrix: x=-1
focus: (1,0)
Step-by-step explanation:
Help!!!!!!!Plz!!!!!!!
Answer:
I'm so confused
Step-by-step explanation:
i’ll mark brainlest! pls help! :/
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
d = [tex]\sqrt{(5-(-4)^2+(5-(-4)^2 \\[/tex]
d = [tex]\sqrt{(9)^2+(9)^2[/tex]
d = [tex]9\sqrt{2}[/tex]
Answer:
D i think... sry if im not correct i tried my best
Step-by-step explanation:
Seventeen less than a number
is negative two. What is that
number?
Answer:15
Step-by-step explanation:
15-17=-2
Answer:
15
Step-by-step explanation:
15
Use the stem-and-leaf plot of Monthly Sales Goals to answer the question that follows.
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
What is the median monthly sales goal? (2 points)
a. $26,000
b. $29,600
c. $30,000
d. $30,500
Answer:
The median monthly sales goal is $30000
Step-by-step explanation:
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
Data (Salary in thousands) : 18,19,25,26,26,28,32,33,33,36,39,40
n = 12(even)
[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}[/tex]
[tex]Median = \frac{\frac{12}{2} \text{th term}+(\frac{12}{2}+1) \text{th term}}{2}\\Median = \frac{6 \text{th term}+7 \text{th term}}{2}\\Median = \frac{28+32}{2}\\Median = 30[/tex]
So, The median monthly sales goal is $30000
So, Option C is true
Find the equation of the line khan academy slope intercept equation from the graph
PLEASE HELP!!!
find the slope from the table
Answer:
5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
In a population of subjects who died from lung cancer following exposure to asbestos, it was found that the mean number of years elapsing between exposure and death was 25. The standard deviation was 7 years. Consider the sampling distribution of sample means based on samples of size 35 drawn from this population.
Required:
What will be the standard deviation of the sampling distribution?
Answer:
The value is [tex]\sigma _x = 1.1832[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 25[/tex]
The population standard deviation is [tex]\sigma = 7[/tex]
The sample size is n = 35
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma _x = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma _x = \frac{7}{\sqrt{35} }[/tex]
=> [tex]\sigma _x = 1.1832[/tex]
|x |-8= -5
what's the answer
Answer:
|x |-7 = -5 ( x = -3 )
Step-by-step explanation:
consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)
Answer:
23/3
Step-by-step explanation:
x=-4
plug x into equation
4(-4)+3y = 7
-16+3y = 7
3y=23
y=23/3
please answer this The cost of 2.5 pounds of cheese is $5.60.
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answer:
$11.20
Step-by-step explanation:
you just double the cost of 2.5 pounds because 2.5 +2.5 is 5
Answer:20.16
Step-by-step explanation:
That is we want the price of
9
pounds (lets call it
$
x
) to be such that
$
5.60
:
2.5
pounds
is the same as
$
x
:
9
pounds
or written as fractions, we want
$
5.60
2.5
pounds
=
$
x
9
pounds
That is
XXX
$
x
=
$
5.60
2.5
pounds
×
9
pounds
XXXXX
=
$
50.40
2.5
=
$
20.16
Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
Help! Need ASAP! ;((
Answer:
7+(-11)
Step-by-step explanation:
because it starts from 0 to 7 then goes down 11
so 7+(-11)
brainlist pls ;>
The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound
Answer:
store B, C, and D
Step-by-step explanation:
2.4 x 0.87 help help help
Answer:
2.088
Step-by-step explanation:
Trust me I am in high school honors algebra with almost an average of 100.
The product of 2.4 x 0.87 is 2.088.
What is a decimal ?A decimal is represented by a dot which separates the whole part and the fractional part of a number.
According to the given question we have to multiply two decimals numbers 2.4 and 0.87.
Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.
So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.
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Pendiente 6 y puntos (5, -2)
Step-by-step explanation:
3.1 to the nearest tenth
Answer:
3.1 to the nearest tenth is 3.1.
Step-by-step explanation:
The first decimal place is the tenths place. Hope this helps!
3.1 because 1 can't be raised to the next number
Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.
Answer:b
Step-by-step explanation:
the first number in the pattern is 32 the rule is to add 27
Answer:
59
Step-by-step explanation:
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64. If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.6 millimeters? Round your answer to four decimal places.
Answer:
0.3264
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where
x is the raw score,
μ is the population mean,
σ is the population standard deviation.
(x-μ) = 3.6 mm
σ = √variance = √64 = 8mm
z = 3.6/8
z = 0.45
Using the Probability table
P(x<Z) = 0.67364
P(x>Z) = 1 - P(x<Z)
1 - 0.67364
= 0.32636
Approximately = 0.3264
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest form.
Answer
-4/3
Step-by-step explanation:
Solve the following equation for x using inverse operations 7x-15=1
Answer:
x = [tex]\dfrac{16}{7}[/tex]Step-by-step explanation:
Equation
7x - 15 = 1 → Move the -15, reversing the sign:
7x = 1 + 15 → Solve the sum:
7x = 16 → We have a fraction:
x = [tex]\dfrac{16}{7}[/tex]
x = 2.28571428571
To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].
Hope this helps!
Good studies! ☺
The solution of the equation for x is;
⇒ x = 16/7
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
7x - 15 = 1
Now, Solve the expression for x by using inverse operations as;
7x - 15 = 1
Since 15 is subtract and inverse of subtraction is addition.
Hence,
Add 15 both side we get;
7x - 15 + 15 = 1 + 15
7x = 16
7 is multiply by x, and inverse of multiplication is divide;
So, Divide by 7 both side;
x = 16/7
Thus, The solution of the equation for x is;
⇒ x = 16/7
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HELP!!!!!!!
What is 2 8/10 + (-3.5) in decimal form
Answer: -0.7
Step-by-step explanation:
x - 4x + 2 = -X- 2x + 3
Plz help
The question is wrong bro.