Answer:
What are two-step equations?
A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true.
Example 1
We're given an equation and asked to solve for
x
xx:
3
x
+
2
=
14
3x+2=143, x, plus, 2, equals, 14
We need to manipulate the equation to get
x
xx by itself.
3
x
+
2
=
14
3
x
+
2
−
2
=
14
−
2
3
x
=
12
3
x
3
=
12
3
x
=
4
3x+2
3x+2−2
3x
3
3x
x
=14
=14−2
=12
=
3
12
=4
The solution:
x
=
4
x=4start color #1fab54, x, equals, 4, end color #1fab54
It's always a good idea to check our solution in the original e
3
x
+
2
=
14
3
⋅
4
+
2
14
12
+
2
14
14
=
14
Yes!
3x+2
3⋅4+2
12+2
14
=14
=
?
14
=
?
14
=14 Yes!
Want to learn more about two-step equations? Check out this video.
Example 2
We're asked to solve this equation for
a
aa:
8
=
a
3
+
6
8=
3
a
+68, equals, start fraction, a, divided by, 3, end fraction, plus, 6
We need to manipulate the equation to get
a
aa by itself.
8
=
a
3
help pls due today thanks
Answer:
the second one -9/4 divided (-2/3)
Step-by-step explanation:
Julio has started his very own floral business. Center pieces 19.50 fixed cost $500 per month cost 8.00 to produce. If he sells 25 center peices to break even
Answer:The total cost, C, is the sum of the cost to produce the centerpieces and the fixed cost. The equation for C is C = 8n + 500.
The total revenue, R, of Julio's floral business is the product of the cost per centerpiece and the number of centerpieces sold. The equation for R is R = 19.50n.
Step-by-step explanation:
Pls help lol I’ve been stuck forever
Pls help extra points and mark brainlist
Answer:
In order from top to bottom: 5^2, 125, 50
Step-by-step explanation:
1. (3+2) × 5 = 5 × 5 = 5^2
2. 5^3 = 5 × 5 × 5 = 125
3. 10^2 / 2 = 100/2 = 50
Answer:
10^2/2=50
5^3=125
(3+2)*5=5^2
Step-by-step explanation:
need help asap please!!
Answer:
b = 39
Step-by-step explanation:
The two sides are equivalent so we can use this information to form an equation.
2b - 39 = b
-39 = -b
39 = b
It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
every 50 minutes. How many pages are in Ty's favorite book?
Answer:
540 pages
Step-by-step explanation:
100 pages = 50 mins
??? pages = 270 mins (converted 4hrs 30 mins to minutes)
Now you could cross multiply to find what the number of pages are:
100 pages x 270 mins = 50 mins x ??? pages
27000 = 50 mins x ??? pages
27000/50 = ??? pages
540 = ??? pages
So there are 540 pages in his favourite book.
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.
I am joyous to assist you at any time.
tim's piggy bank contains nickels and quarters worth $12.45. he has 69 coins in all. how many of each coins does he have?
Answer: There can be multiple combos.
how do you create a graph for linear equation? I need to graph 3x=4
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
Plz help I’ll give Brainly
Answer:
[i] Area of Juan's garden:
Soln,
length(l)=16
width(w)=12
area(a)=?
Now,
a=l×w
=16×12
=192
[ii] Area of Matthew's garden:
Soln,
length(l)=18
width(w)=21
area(a)=?
Now,
a=l×w
=18×21
=378
So,the area ofJuan's garden=192
And
the area of Matthew's garden=378
Does the sum of angles of any triangle will always equal 180 degrees?
Answer:
yes the sum of any triangle is 180°
Step-by-step explanation:
I hope it's helps you
Find the value of x.
Answer:
12
Step-by-step explanation:
The two unknown values of the triangle have to be the same.
Subtract 28 from 180 and you get 152
So each angle will be 76.
So now, 76 = -8 + 7x
Simplify and 84 = 7x
Now, x is equal to 12
Hope this helped! Please mark me as brainliest if you can!
Please answer correctly i will give brainliest
Answer: It is C
Step-by-step explanation:
Good luck on your test or homework
Ronald scores 700 on the math section of the SAT exam. The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. Rubin takes the ACT math exam and scores 31 on the math portion. ACT scores are approximately normally distributed with a mean of 18 and a standard deviation of 6.7
(a) Relative to their peers who also took the tests, who performed better on his test? Explain.
(b) A certain school will only consider those students who score in the top 1% in the math section. What grades would Ronald and Rubin have to receive on their respective tests to be considered for admission?
(c) Between what two grades does 95% of the population fall for the ACT and the SAT exams?
Answer:
a) Due to the higher z-score, Ronald performed better relative to his peers on the test.
b) Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.
c) 95% of the population fall between graded of 4.868 and 31.132 on the ACT.
95% of the population fall between graded of 304 and 696 on the SAT.
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
(a) Relative to their peers who also took the tests, who performed better on his test? Explain.
We have to find whoever has the higher z-score.
Ronald:
Ronald scores 700 on the math section of the SAT exam. The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. So the z-score is found when [tex]X = 700, \mu = 500, \sigma = 100[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{700 - 500}{100}[/tex]
[tex]Z = 2[/tex]
Rubin:
Rubin takes the ACT math exam and scores 31 on the math portion. ACT scores are approximately normally distributed with a mean of 18 and a standard deviation of 6.7. So the z-score is found when [tex]X = 31, \mu = 18, \sigma = 6.7[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{31 - 18}{6.7}[/tex]
[tex]Z = 1.94[/tex]
Due to the higher z-score, Ronald performed better relative to his peers on the test.
(b) A certain school will only consider those students who score in the top 1% in the math section. What grades would Ronald and Rubin have to receive on their respective tests to be considered for admission?
They have to be in the 100 - 1 = 99th percentile, that is, they need a z-score with a pvalue of at least 0.99. So we need to find for them X when Z = 2.325.
Ronald:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.325 = \frac{X - 500}{100}[/tex]
[tex]X - 500 = 232.5[/tex]
[tex]X = 732.5[/tex]
Rubin:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.325 = \frac{X - 18}{6.7}[/tex]
[tex]X - 18 = 15.58[/tex]
[tex]X = 33.58[/tex]
Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.
(c) Between what two grades does 95% of the population fall for the ACT and the SAT exams?
They fall between the 100 - (95/2) = 2.5th percentile and the 100 + (95/2) = 97.5th percentile, that is, they fall between X when Z = -1.96 and X when Z = 1.96.
ACT:
Lower bound:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.96 = \frac{X - 18}{6.7}[/tex]
[tex]X - 18 = -1.96*6.7[/tex]
[tex]X = 4.868[/tex]
Upper bound:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 18}{6.7}[/tex]
[tex]X - 18 = 1.96*6.7[/tex]
[tex]X = 31.132[/tex]
95% of the population fall between graded of 4.868 and 31.132 on the ACT.
SAT:
Lower bound:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.96 = \frac{X - 500}{100}[/tex]
[tex]X - 500 = -196[/tex]
[tex]X = 304[/tex]
Upper bound:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 500}{100}[/tex]
[tex]X - 500 = 196[/tex]
[tex]X = 696[/tex]
95% of the population fall between graded of 304 and 696 on the SAT.
Helpppp pleaseeeeeeee ! Step by step
Answer:
1.846=x
Step-by-step explanation:
SO to find X
We know perimeter is 16
So we have all the sides so add them all up
3x+3+8x-5+2(x-3)=16
Now distribute the possible things first
3x+3+8x-5+2x-6=16
Now combine like terms
13x-8=16
add 8 on both sides
13x=24
Since the problem asked for rounded to 3 decimal places
1.846
12. A tow truck driver used a force of 1088 Newtons to accelerate a golf cart 5 m/sec2.
According to Newton's Law of Force and Acceleration, how much did the golf cart
weigh?
Someone Help please with work!! 15pts
Answer:
f(5) is equal to 5.
Step-by-step explanation:
You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value. If you look closely, you'll see that the x value of 5 has a y value of 5 as well.
12x+9y=162. Fully reduce your answer.
Answer:
y=-1 1/3+18
Step-by-step explanation:
isolate the y and divide both by 9
Find the value of each variable.
HELP IOLL MARK U BRAINLIEST I SWEAR
Answer:
You aren't posting pictures
Step-by-step explanation:
To identify the specific fallacy in the argument, if the argument commits a fallacy of a personal attack or an emotional appeal in the provided passage and also explain it and to also mention if there is no fallacy.
Consider, the passage,
In the past 3 months, you missed work without calling in five times, and each time you couldn't produce a doctor's note. On two occasions in 1 week, you left work early without notifying your supervisor. You fell asleep at your and missed two important calls from clients. Given this poor record, we have decided to let you go.
Answer:
The fallacy can specifically be noted in this argument:
"You fell asleep and missed two important customer calls."
Step-by-step explanation:
In the previous argument we can see that the worker is being attacked directly, it is not being indicated with reasonable evidence when it was that he actually fell asleep, in what month, in what time, and how many times.
−2y−8+4yminus, 2, y, minus, 8, plus, 4, y
Answer:
a number 12
Step-by-step explanation:
duh bro
solve and identify the solution. 10+1.5x=3.5x
Answer:
x=5
Step-by-step explanation:
hope this is correct have a wonderful day! <3
Answer:
x=5
Step-by-step explanation:
10+1.5x=3.5x
Subtract 3.5x from both sides.
10+1.5x−3.5x=0
Combine 1.5x and −3.5x to get −2x.
10−2x=0
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
−2x=−10
Divide both sides by −2.
x= −2 /−10
Divide −10 by −2 to get 5.
x=5
Put the following equation and slope intercept form: y-2= 1/7(x-3) pls help
Answer:
y=1/7x+11/7
Step-by-step explanation:
I used mathaway
I will give brainiest to whoever answers correctly !!
Replace x with 10.
The exponent is now 0.1(10) = 1
Now you have 5000(1.181)^1
1.181^1 = 1.181
So now 5000 x 1.181 = 5,905
The answer is 5,905
Which function is the inverse of f(x) = 2x+37
O
О
O '(x) --2x+3
Of(z) = 23+3
answer ?????
Answer:
[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]
Step-by-step explanation:
y = f(x)
y = 2x+3
You need to switch the places of x and y, into this:
x = 2y + 3
Then solve for y:
2y = x-3
[tex]y=\frac{x-3}{2}[/tex]
[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]
can I get an answer please
Answer:
It should be C.
Step-by-step explanation:
Answer:
it is the first bubble the one you have already selected
Find the measure of an interior angle and exterior angle of a regular 24gon
Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with 24 sides. This can be found using the formula:
sum = ( n - 2 ) * 180° where 'n' is the number of sides.
When 'n = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. Assuming that this polygon is equilateral, you can surmise that:
Interior Angle = sum° / n where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
You are creating a model of the Gareway arch. You decide to use a scale of 1/2 yd=1/4in. The Gateway Arch is 310 yards tall. How tall will your model need to be?
Answer:
77.5
Step-by-step explanation:
All flour from five bags with 3/8 lbs of flour in each was divided into equal parts to make 7 loaves of bread. How can you calculate the amount of flour used for each loaf? select all that apply
was divided into equal parts to make 7 loaves of bread. How can you mount of flour used for each loaf? select all that apply
Step-by-step explanation:
Answer:
B, C, F
Step-by-step explanation:
C = 3/8 divided 7 times 5. 3/8 lbs of flour in each was divided into equal parts to make 7 loaves. 3/8 divide by 7. Since there are 5 bags, times 5.
B = 3/8 times (for the five bags) times 5 divided by 7 samething from C.
F = You know the pattern now. Hint: B is the answer...