Answer: Solving two-step linear equations using distributive property: a (x+b)=c;aleft ( {x + b} ight) = ca (x+b)=c Solving linear equations using multiplication and division Solving two-step linear equations: ax+b=cax + b = cax+b=c, xa+b=c {x over a} + b = cax+b=c
Step-by-step explanation:
Answer:
solving equations using distributive property. We'll guide you through two ways that the following question can be solved.
Question: 11.32 = 8(0.61 + x)
Solution 1:
11.32 = 8(0.61+x)
Divide both side by 8, you get 1.415 = 0.61 +x
Minus both side by 0.61, 0.805 = x
In this solution, we first try to move all the non-x terms over to one side. The first step of dividing both sides by 8 helps us move the 8 from the right side to the left side. This allows us to get rid of the parentheses too as the terms no longer have to be multiplied out (there's nothing to multiply them with). Then, in order to move 0.61 to the left side, we'll minus it from both sides. In the end, we'll get that x ultimately equals 0.805.
Solution 2:
11.32 = 8(0.61+x)
Open up the right side, you get 11.32 = 4.88+8x
Minus both side by 4.88, you get 6.44 = 8x
Divide both side by 8, you get 0.805 = x
In solution 2, we're truly using the distributive property. We're going to distribute 8 into the terms in the parentheses, which are "+0.61" and "+x". This gives us 4.88 + 8x on the right side of the equation. Then we can move over 4.88 to the left side with the rest of the non-x terms by minusing it from both sides. Lastly, divide both sides by 8 to move the 8 over to the left side and you'll find that x = 0.805. Both methods will bring you to the same correct answer.
Andrea has 1 hour to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Answer:
3/4 hour
Step-by-step explanation:
The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.
The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.
Andrea should plan on walking back for 3/4 hour.
Which symbol correctly compares the numbers?
-0.64 0-0.5
O>
O <
O I don't know.
Answer:
<
Step-by-step explanation:
-0.5 is greater than -0.64
We need to find the symbol -0.64 ,0-0.5. -0.64<0-0.5.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find which symbol is used between Minus zero point six four and minus zero point five.
-0.64 and -0.5
As we know that the integers are number with positive, Negative and zero.
-0.64<-0.5
On the number line the integer -0.64 lies on left of -0.5.
So -0.64 is less than -0.5.
Hence -0.64 is less than -0.5.
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Help please!!!!
Find the measure of the angle indicated
Answer:
x = 6
Step-by-step explanation:
Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.
Minus 11 from both sides, and we get -6 = -x, so x = 6
Is 26% greater than 3/8?
Answer:
No. It is not greater than 3/8
Step-by-step explanation:
3/8 x 100
=> 300/8
=> 37.5
=> 26% < 37.5%
Therefore, 26% is not greater than 3/8 or 37.5
Hoped this helped.
In a Parallelogram CARS , <C = 5x-20 and <A = 3x+20. Find the value of x ?
Given that
In a Parallelogram CARS ,∠C = (5x-20)°
∠A = (3x+20)°
angle C and angle A are adjacent angles
We know that
In a Parallelogram the adjacent angles are supplementary.
⇛∠C + ∠A = 180°
⇛ (5x-20)°+(3x+20)° = 180°
⇛5x°-20°+3x°+20° = 180°
⇛(5x°+3x°)+(20°-20°) = 180°
⇛8x°+0 = 180°
⇛8x° = 180°
⇛ x° = 180°/8
⇛ x° = 22.5°
Answer:-The value of x = 22.5°
also read similar questions: In parallelogram MATH, m= (3x+ 20) and t= (5x-4) find A
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find the value of x (5x+12) (3x+8) a 10 b 15 c 20 d 25
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what should be added to 5xy to get 9xy
Hello!
9xy-5xy=4xy
We can add like terms.
Like terms are same variables. Examples:
x+x
Remember:
x+x^2 can't be simplified.
y+x can't be simplified.
Hope it helps!
~Just a determined teen
#CarryOnLearning
[tex]MysteriousNature[/tex]
The expression 4xy is added to the equation 5xy to get 9xy.
A collection of constants, variables connected using one or more arithmetic operator is called an expression
Example = 4y, 3x+4.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
Here, 4 and 12 are constants and x is variable
The equation can be solved as:
Let t be added to the following equation,
5xy + t = 9xy
Subtract 5xy from both the sides,
t = 9xy - 5xy
t = 4xy
Thus, 4xy is added to 5xy to get 9xy.
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If you are conducting an experiment where the probability of a success is 0.06 and you are interested in the probability of two successes in 15 trials, the correct probability function to use is the _____.
In the question, the probability of getting the given number of success
from a specified number of trials is required.
The correct probability function to use is the binomial probability function.
Reasons:
The given parameters are;
The probability of success = 0.06
The number of trials = 15 trials
The probability of interest = The probability of two successes in 15 trials
Solution;
The required probability is given by the following binomial probability
distribution formula;
[tex]P(x) = \dbinom{n}{x}\cdot p^x \cdot q^x = \mathbf{\dfrac{n!}{(n - x)! \cdot x!} \cdot p^x \cdot q^x}[/tex]
Where:
n = Number of trials
x = Number of required success
p = Probability of a success
q = Probability of one failure = 1 - p
For the question, we get;
[tex]P(x) = \dfrac{15!}{(15 - 2)! \times 2!} \times 0.06^2 \times (1 - 0.06)^{15 - 2} \approx \mathbf{0.169}[/tex]
Therefore, the correct option is, a binomial probability function
Learn more here:
https://brainly.com/question/15902935
The question options are;
Binomial probability function
Normal probability density function
Standard normal probability density function
Poisson probability function
Please help quick!!!
Answeer two questions
Answer:
x = 4[tex]2^2*3*7[/tex]Step-by-step explanation:
First, we add 16 and 28 [tex]16+28=44[/tex]
Now we have to solve for x
We know we have to do parenthesis first so [tex](4+7)=11[/tex]
[tex]44=x(11)[/tex]
Then we divided both sides by 11
[tex]\frac{44}{11} =\frac{11x}{11}[/tex]
[tex]x=4[/tex]
To find the Prime Factorisation of 84 we have to divide 84 by the smallest prime number which is 2
So [tex]\frac{84}{2} = 42[/tex]
Since 42 is an even number we can still divide it by 2
So [tex]\frac{42}{2} = 21[/tex]
Now we can divide 21 by the 2nd smallest prime number which is 3
So [tex]\frac{21}{3} = 7[/tex]
So the prime factors of 84 would be [tex]2*2*3*7[/tex] or [tex]2^2*3*7[/tex]
Amakiri spent N125 for a camera and some film. The camera cost N100 more than
the film. What percent of the cost of the two items did Amakiri spend for the camera?
Answer:
90%
Step-by-step explanation:
N125 = 2x + N100
2x = N25
x = N12.5
camera = N100 + N12.5 = 112.5
Total = N125
(Camera/Total) x 100 = % spent on camera
(112.5 / 125) x 100 = 90%
Answer: 3x10^2 mi
example:
Answer:
3000
Step-by-step explanation:
Answer:
300
Step-by-3step explanation:
The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 870 years?
grams
Answer:
A(t) = amount remaining in t years
= A0ekt, where A0 is the initial amount and k is a constant to be determined.
Since A(1690) = (1/2)A0 and A0 = 80,
we have 40 = 80e1690k
1/2 = e1690k
ln(1/2) = 1690k
k = -0.0004
So, A(t) = 80e-0.0004t
Therefore, A(430) = 80e-0.0004(430)
= 80e-0.172
≈ 67.4 g
Step-by-step explanation:
hope it helpful for you ❤️
9/x = 27/24 find the proportional relationship
Answer: The answer is 9/8 = 27/24
Which inequality correctly compares 2/5, 1/8, and 5/7
• 1/8 < 2/5 < 5/7
• 1/8 < 5/7 < 2/5
• 2/5 < 5/7 < 1/8
• 2/5 < 1/8 < 5/7
Plz be quick I’m being timed
Answer:
second or last
Step-by-step explanation:
Answer: 1/8 < 2/5 < 5/7
Step-by-step explanation:
Jeanne is twice as old as her brother Mark. If the sum of their ages is 24, how old is Jeanne?
I realized that this was our own electric light for us to turn on and off as we pleased. I pushed a chair under it and after some instruction from my mother proceeded to create lightning in the room by turning the switch as fast as I could. After reading the passage from Barrio Boy, describe how the author uses connotations and figurative language to make his experience come to life.
NEED ANSWERS SOON AS COULD
Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $20 each week. Sylvia decides to put in an additional 20% of the amount in the account each week. Complete the sentence to answer the question.
Answer:
440$
Step-by-step explanation:
Emilia waited 11 minutes for the bus today. That is 4 minutes less than she waited yesterday. How long did Emilia wait for the bus yesterday?
11 minutes + 4 minutes more yesterday = 15 total minutes
Answer: 15 minutes
Answer:
Emilia waited 11 minutes wich was 4 minutes earlier so 11+4 because it was 4 miutes earlier so 11 minutes + 4 minutes = 15 minutes so this means Emilia wait 15 minutes for the bus yesterday
Step-by-step explanation:
Pam makes 5 litters of apple juice she saves 0.5 litter of apple for dinner and puts the rest in bottles. If each bottle holds 0.75 liter how many apples of apple juice can pam fill?
Answer:
6
Step-by-step explanation:
5L - 0.5 = 4.5
Pam is putting 4.5L into bottles
4.5/0.75 = 6
0.75L = 1 bottle
x2
1.5L = 2 bottles
x3
4.5L = 6 bottles
An employer pays 75% of an employee's health insurance premium.
If the premium is $4855 annually, how much is the employee's share of the premium?
O S3884.00
O S3641.25
O S1213.75
O $971.00
Answer:
1213.75
Step-by-step explanation:
you turn the percent int a decimal, and then multiply it by 4855. then the answer you get (3641.25) you subract 4855 by it to get the answer
Find the equation of a line that passes through the points (1,-3) and (3,-1). Leave your answer in the form y = m x + c
Answer:
y=x+2
Step-by-step explanation:
-1+3/3-1=2/2=1
y+3/x-1=1
x-1=y+3
y=x-4
Please help with math
Answer:
3.84m
Step-by-step explanation:
32*12=384
384/100=3.84
Answer:
384. hope this helps you out
Explain: 32•12=384, but for got to divide it so it equal 3.84
gemomtry plz help 15 points
Answer:
DE = 5x-12 (base angles of isos triangle)
Marks brother is five years older than mark. Their combined ages add up to 23. How old is mark?
Answer:Mark would be 11
Step-by-step explanation: If we divide 23 and 2 because there's two people we would get 11.5. Now subtract 11.5 by 5 which is 11. Mark is 11 years old. Good luck!
can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.
Answer:
y = -4x + 28
Step-by-step explanation:
yeah-ya........ right?
Step-by-step explanation:
what is the standard form for your teacher ?
because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).
there are 2 main forms :
the general slope intercept form is
y = ax + b
a is the slope. and is here -4.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the half finished equation :
4 = -4×6 + b = -24 + b
28 = b
so, the equation is
y = -4x + 28
the general slope point form is
y - y1 = a(x - x1)
where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.
so, we have
y - 4 = -4(x - 6)
Pls help me if i got to fimd the quotient and it is due pls help if I got any of them wrong ple put it in the answer NO LINK YA SCAMMERS I don't even have anything for yall to steal from me
Answer:
4.75 divided by 5 =0.95
Step-by-step explanation:
the sum of twenty four and forty is nineteen more than a number. what is the number?
im struggling lol
Please help asap..
20 POINTS
THX
Answer:
B
Step-by-step explanation:
we know that the inverse function undoes the original function, there fore we get the answer as the second choice
Answer:
A is correct
Good Luck!!
The radius of a cirdle is (x+ 4)cm. Find the area of the circle in
terms of the variable x Leave the answer in term of π
Answer:
50.24 cm
Step-by-step explanation:
50.24 cm
2
Explanation:
Using the formula,
Area
=
π
×
r
2
Here
π
is a button on your calculator you can find, but is also generally known as
3.14
, you can use either one, but teachers usually prefer you use the
π
button.
r
=
the radius, in your case, it's
4 cm
So
Area
=
π
×
r
2
=
π
×
(
4 cm
)
2
=
16
π
cm
2
≈
50.24 cm
2
HOW DO I FIND QR
PLEASE HELP
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
f(x) = x^3 + 3x^2
What would the graph look like?
Answer: the answer is in the attachment.
Answer:
Hope this helps :)
Step-by-step explanation: